Tristan/olm-october-2022-tokenized-1024-suffix-array-dedup

input_ids list	attention_mask list	special_tokens_mask list
[ 449, 339, 3179, 18, 1043, 85, 2, 0, 9473, 286, 531, 16571, 21140, 84, 1472, 17085, 1459, 2111, 18, 1867, 16571, 8449, 318, 4842, 2130, 16, 1745, 785, 326, 2917, 33123, 290, 1216, 325, 1883, 2141, 388, 2124, 524, 286, 443, 3274, 346, 654, 2257, 18, 2, 0, 17608, 2212, 2160, 13472, 718, 3904, 325, 2494, 1188, 16, 3384, 16, 383, 225, 88, 76, 73, 2184, 292, 31253, 17, 15056, 1641, 69, 891, 2979, 286, 225, 88, 76, 73, 6444, 16, 286, 1644, 1502, 23253, 16, 290, 286, 522, 798, 1907, 18, 707, 1552, 1036, 225, 69, 1162, 292, 531, 3183, 2890, 423, 225, 88, 76, 73, 38240, 806, 292, 522, 548, 291, 409, 4791, 9357, 18, 409, 1358, 6175, 292, 3440, 9714, 1641, 88, 76, 73, 2355, 3384, 2809, 1641, 14780, 4051, 7853, 1774, 286, 522, 10105, 969, 290, 2269, 18, 203, 45, 352, 635, 42594, 286, 1015, 357, 2160, 13472, 718, 352, 87, 3569, 16, 388, 383, 2070, 554, 292, 522, 1579, 5249, 30, 7082, 41590, 93, 318, 13807, 16, 41590, 93, 459, 14160, 388, 1708, 339, 6205, 11152, 18, 2591, 5523, 4998, 717, 427, 10974, 519, 9941, 2673, 346, 345, 9898, 77, 298, 517, 357, 3093, 286, 530, 16, 761, 16, 9898, 77, 12692, 18, 17796, 93, 16, 391, 20537, 318, 13807, 16, 357, 318, 10582, 811, 225, 69, 5686, 292, 14548, 19271, 345, 2968, 723, 517, 339, 28037, 438, 292, 1842, 581, 1054, 394, 35347, 16, 13469, 16, 388, 1797, 4994, 18, 1218, 357, 318, 279, 28037, 545, 18283, 292, 225, 88, 76, 73, 35842, 431, 573, 554, 318, 38665, 691, 554, 504, 225, 88, 76, 73, 1024, 2113, 8127, 286, 18033, 345, 442, 388, 345, 318, 2919, 983, 326, 1761, 18, 203, 37, 761, 17, 1010, 866, 282, 3042, 424, 1353, 527, 346, 225, 69, 1162, 41590, 21092, 300, 7198, 16, 290, 424, 874, 949, 7976, 291, 961, 541, 823, 13063, 18, 616, 8060, 16, 4436, 6875, 10417, 408, 352, 264, 479, 633, 15628, 1395, 1723, 225, 88, 76, 73, 19338, 16, 22755, 1214, 1133, 266, 1901, 292, 522, 22627, 732, 18, 409, 19338, 318, 14834, 323, 7483, 345, 660, 318, 10459, 16, 874, 691, 357, 318, 770, 4436, 1367, 6875, 16, 596, 10417, 458, 318, 541, 11511, 450, 359, 286, 339, 225, 69, 633, 3401, 18, 1009, 458, 318, 7483, 346, 3544, 326, 4446, 6875, 1060, 286, 744, 950, 7483, 346, 3544, 18, 996, 16, 2375, 16, 6875, 352, 87, 4858, 644, 225, 88, 76, 73, 30807, 3122, 292, 29609, 290, 13876, 18470, 225, 88, 76, 73, 19338, 352, 87, 2639, 2925, 292, 2848, 290, 761, 17, 6957, 16, 761, 16, 857, 357, 703, 339, 279, 6233, 1046, 2669, 18, 203, 2628, 357, 385, 345, 629, 3042, 6787, 288, 42253, 754, 326, 225, 69, 941, 595, 346, 2828, 3207, 345, 30142, 24164, 286, 225, 88, 76, 73, 41634, 292, 5267, 4371, 290, 2220, 31064, 396, 88, 76, 73, 797, 16, 543, 1541, 720, 449, 16, 961, 225, 88, 76, 73, 1150, 13, 1027, 24891, 225, 88, 76, 73, 41590, 2724, 359, 225, 69, 16135, 286, 1059, 541, 21008, 16, 290, 359, 18210, 286, 225, 88, 76, 73, 616, 22141, 550, 541, 27344, 431, 1128, 7945, 31605, 11797, 286, 225, 88, 76, 73, 3960, 836, 18, 601, 385, 449, 1230, 279, 6233, 571, 34765, 3611, 10975, 18, 557, 9214, 16, 1248, 16, 19889, 717, 3870, 286, 339, 9590, 47827, 6202, 268, 8225, 18, 25736, 225, 88, 76, 73, 11456, 16, 290, 691, 554, 504, 225, 88, 76, 73, 2947, 16, 357, 318, 3329, 286, 1934, 286, 339, 3329, 18, 203, 14614, 17, 39373, 17796, 93, 203, 3018, 857, 670, 1013, 286, 339, 1740, 41590, 93, 1882, 527, 1584, 225, 69, 631, 41590, 93, 18, 409, 631, 14548, 41590, 93, 292, 3051, 5727, 318, 1406, 290, 20601, 31, 4809, 286, 357, 16, 225, 88, 76, 73, 1367, 41590, 93, 385, 9422, 31451, 18, 409, 1367, 41590, 93, 385, 664, 225, 69, 15561, 702, 1367, 10658, 291, 225, 88, 76, 73, 2290, 47297, 31, 225, 88, 76, 73, 631, 41590, 93, 318, 225, 69, 14225, 2444, 289, 1971, 26418, 291, 225, 88, 76, 73, 1201, 1628, 18, 409, 1367, 41590, 93, 8021, 286, 2837, 326, 225, 88, 76, 73, 1843, 16, 573, 5300, 29132, 1796, 18, 409, 631, 41590, 93, 6000, 286, 2837, 326, 225, 88, 76, 73, 1924, 290, 318, 4477, 225, 88, 76, 73, 7274, 262, 292, 8913, 3130, 345, 1401, 477, 786, 9867, 18, 409, 2947, 292, 225, 69, 1162, 286, 1766, 291, 225, 88, 76, 73, 1843, 882, 339, 15727, 1857, 650, 225, 88, 76, 73, 1924, 385, 2004, 286, 339, 1227, 290, 772, 25762, 18, 15313, 262, 779, 225, 88, 76, 73, 41590, 385, 568, 225, 69, 836, 292, 2561, 357, 2703, 18, 828, 1411, 688, 30, 6902, 225, 88, 76, 73, 2230, 292, 225, 88, 76, 73, 1843, 703, 1303, 1060, 1001, 18, 1218, 225, 88, 76, 73, 1367, 41590, 93, 345, 318, 13807, 318, 6205, 11152, 431, 225, 88, 76, 73, 631, 41590, 93, 16, 573, 318, 1411, 13807, 18, 203, 521, 1709, 5147, 14548, 19271, 345, 941, 41271, 385, 383, 965, 346, 28092, 12187, 517, 40610, 581, 225, 88, 76, 73, 2537, 292, 5160, 18, 2352, 345, 357, 13010, 345, 660, 318, 225, 69, 5160, 581, 442, 388, 345, 16, 517, 16, 857, 16, 596, 385, 286, 1335, 670, 345, 5160, 1380, 339, 35, 1605, 225, 88, 76, 73, 2537, 292, 5160, 318, 15276, 13169, 1641, 344, 318, 16, 650, 357, 318, 13010, 291, 2651, 1641, 582, 424, 2395, 286, 339, 36754, 292, 225, 69, 25888, 8837, 292, 616, 343, 22822, 1076, 1515, 554, 1380, 4785, 345, 660, 1142, 318, 786, 5160, 345, 1767, 19271, 3046, 16, 290, 2395, 1378, 1619, 18, 409, 5190, 286, 225, 88, 76, 73, 1619, 292, 19271, 318, 225, 88, 76, 73, 1619, 292, 1420, 18, 15313, 262, 575, 4066, 2285, 13511, 31, 225, 88, 76, 73, 459, 286, 1420, 32040, 786, 2157, 326, 36774, 18, 203, 829, 629, 10012, 16, 225, 88, 76, 73, 631, 41590, 93, 318, 745, 30017, 14834, 291, 22537, 290, 29244, 396, 281, 16, 359, 357, 318, 928, 16, 616, 749, 19401, 328 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 2592, 385, 225, 88, 76, 73, 2677, 13650, 292, 225, 69, 7911, 2667, 596, 385, 915, 279, 1075, 438, 290, 225, 69, 499, 17, 2336, 17, 72, 7414, 30936, 286, 339, 225, 69, 42693, 18, 203, 1109, 988, 424, 352, 88, 4039, 286, 427, 654, 278, 1073, 291, 531, 22833, 5128, 225, 69, 27572, 3045, 18, 14677, 9911, 18, 19935, 42878, 2659, 352, 87, 4013, 385, 13973, 527, 290, 458, 1981, 785, 286, 225, 88, 76, 73, 2215, 594, 2472, 267, 346, 522, 7513, 4543, 16, 6322, 225, 69, 631, 3508, 18, 203, 35543, 28573, 290, 7657, 7833, 33563, 703, 427, 652, 3063, 346, 442, 3343, 16, 517, 554, 424, 770, 6493, 708, 2882, 389, 31591, 388, 13769, 25446, 1380, 427, 11610, 357, 18, 203, 24208, 1694, 16, 18415, 203, 21, 3465, 581, 689, 11, 521, 20400, 35634, 11, 33357, 1507, 14677, 8427, 2656, 203, 7565, 286, 2834, 2368, 650, 3981, 371, 5381, 18, 203, 34604, 14092, 1010, 423, 603, 751, 83, 628, 3323, 16, 2355, 1124, 16, 2730, 383, 377, 30, 916, 283, 18, 81, 18, 203, 1624, 780, 1541, 979, 325, 225, 88, 76, 73, 984, 16, 19935, 42878, 2659, 3557, 286, 1491, 18830, 16490, 43572, 326, 723, 18, 731, 42894, 12039, 3045, 18, 14677, 345, 522, 631, 2592, 385, 225, 88, 76, 73, 2677, 13650, 292, 225, 69, 7911, 2667, 596, 385, 915, 279, 1075, 438, 290, 225, 69, 499, 17, 2336, 17, 72, 7414, 30936, 286, 339, 225, 69, 42693, 18, 16242, 16242, 3461, 985, 442, 6939, 698, 88, 76, 73, 3648, 319, 10564, 1652, 18745, 35, 203, 2852, 203, 16304, 203, 7007, 1806, 13849, 203, 5270, 225, 88, 76, 73, 7037, 203, 7161, 6330, 318, 225, 69, 761, 1712, 2155, 6474, 596, 504, 3055, 326, 225, 88, 76, 73, 24601, 5739, 3729, 7817, 16, 3282, 14768, 31807, 16, 521, 48143, 3797, 16, 15364, 5739, 16, 5377, 5383, 16, 21156, 9927, 16, 24577, 954, 24312, 290, 3282, 7626, 1913, 2, 0, 16718, 291, 11962, 1817, 3441, 3928, 16, 30559, 8662, 16, 1477, 383, 225, 88, 76, 73, 4240, 16, 290, 292, 1619, 16, 49746, 5, 707, 688, 708, 286, 502, 1518, 1054, 16, 1036, 291, 11962, 16, 290, 408, 6608, 225, 88, 76, 73, 910, 292, 225, 88, 76, 73, 910, 1040, 290, 760, 602, 346, 4230, 1518, 290, 3258, 12378, 18, 6629, 398, 3183, 2130, 290, 339, 1336, 286, 623, 398, 7453, 290, 1031, 398, 28132, 5, 203, 47, 16267, 6998, 3703, 11202, 17703, 16, 32521, 30, 2262, 3843, 88, 76, 203, 1200, 1465, 2134, 658, 1583, 34529, 290, 2010, 4943, 426, 286, 623, 398, 4461, 292, 49323, 290, 14344, 18, 16527, 7453, 371, 1349, 359, 761, 359, 3722, 532, 20380, 7453, 18, 203, 10371, 3841, 12000, 38191, 5288, 16, 2027, 3841, 12000, 30, 2262, 3843, 88, 76, 203, 49990, 519, 10919, 88, 76, 602, 16, 225, 88, 76, 73, 2027, 3841, 12000, 38191, 5288, 2134, 1452, 16, 953, 16, 290, 292, 1619, 16, 5130, 5258, 59, 17229, 8352, 2180, 5, 203, 49, 3323, 694, 5288, 16, 26215, 30, 2382, 1519, 88, 76, 17, 2566, 88, 76, 203, 11239, 357, 388, 8937, 357, 16, 2610, 92, 694, 318, 225, 69, 11962, 6395, 290, 786, 554, 1071, 357, 1317, 720, 225, 88, 76, 73, 965, 292, 2610, 92, 694, 16, 26215, 5, 738, 1465, 449, 770, 2134, 225, 88, 76, 73, 17729, 517, 568, 225, 69, 17653, 16, 225, 69, 848, 79, 16, 3924, 669, 24104, 16, 3573, 2839, 290, 543, 5, 203, 59, 6186, 11202, 17703, 16, 17794, 30, 2382, 2272, 88, 76, 203, 16330, 2089, 7445, 11962, 290, 225, 69, 3258, 291, 398, 1032, 346, 225, 88, 76, 73, 384, 348, 4230, 17794, 11202, 17703, 5, 1397, 1336, 286, 623, 398, 7668, 286, 1508, 225, 88, 76, 73, 685, 17, 9591, 6822, 346, 6826, 48, 4888, 35992, 19340, 290, 225, 69, 38846, 33015, 3706, 18, 3722, 532, 20380, 7453, 371, 1349, 1248, 5, 203, 49, 4125, 38531, 43330, 5288, 16, 5218, 37440, 30, 2382, 2272, 88, 76, 17, 2866, 334, 203, 20791, 16, 5218, 37440, 2747, 985, 225, 88, 76, 73, 745, 2801, 6178, 1389, 291, 225, 88, 76, 73, 1627, 517, 442, 318, 225, 69, 424, 985, 2362, 6822, 5, 601, 526, 652, 225, 88, 76, 73, 5843, 292, 225, 88, 76, 73, 2779, 326, 13073, 290, 798, 11664, 10811, 326, 13366, 806, 18, 7015, 16, 596, 2087, 985, 1246, 13407, 12740, 203, 61, 1170, 1242, 1273, 321, 5288, 16, 577, 1170, 1242, 30, 2382, 591, 88, 76, 17, 2866, 334, 203, 37, 11962, 2322, 326, 13959, 806, 18, 738, 602, 16, 821, 7049, 609, 720, 15196, 6642, 16, 19966, 9180, 22411, 292, 409, 22411, 361, 1615, 359, 23603, 34066, 5, 203, 59, 41726, 26256, 30, 9289, 17, 33861, 5680, 954, 19178, 5288, 16, 4784, 425, 70, 3655, 30, 2382, 452, 88, 76, 203, 14386, 16, 6921, 16, 290, 5220, 12740, 8693, 314, 1335, 543, 12740, 203, 6709, 12618, 25718, 6852, 16, 5413, 330, 76, 73, 880, 30, 2382, 3498, 88, 76, 203, 17574, 965, 691, 313, 2164, 8603, 286, 2150, 26948, 5, 738, 1465, 383, 225, 88, 76, 73, 5413, 330, 76, 73, 880, 6852, 26929, 2134, 449, 770, 7159, 16, 517, 35445, 16, 11099, 16, 7292, 16, 290, 543, 5, 203, 49, 4125, 39766, 11, 16865, 5652, 19178, 5288, 16, 2027, 11721, 16, 2382, 3498, 88, 76, 203, 6, 521, 4609, 8776, 20885, 291, 11962, 6, 2134, 16791, 1491, 34529, 541, 442, 318, 554, 1465, 313, 1825, 985, 813, 286, 2362, 18, 601, 526, 398, 554, 17, 15524, 2233, 286, 623, 286, 688, 670, 225, 88, 76, 73, 11962, 6921, 1950, 318, 479, 581, 18, 16527, 7453, 1706, 10237, 6218, 16, 7460, 18201, 16, 290, 225, 69, 16527, 1389, 18, 3722, 532, 20380, 7453, 371, 568, 1349, 18, 203, 21452, 767, 5288, 16, 16188, 30, 2382, 3498, 88, 76, 203, 7315, 2087, 985, 664, 11568, 12740, 738, 1465, 2134, 225, 69, 11568, 44489, 16, 1952, 46565, 16, 290, 874, 11568, 4746, 5640, 1482, 5, 4217, 398, 7453, 915, 5, 203, 49, 4125, 26454, 2667, 5288, 16, 4739, 944, 30, 2382, 4600, 334, 17, 7552, 832, 88, 76, 203, 3134, 292, 225, 88, 76, 73, 745 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 203, 1759, 558, 521, 19294, 299, 203, 19301, 16, 2660, 717, 424, 985, 12197, 551, 7352, 18, 601, 526, 26801, 290, 35991, 746, 286, 1059, 596, 1142, 1981, 754, 1228, 18, 203, 1759, 558, 521, 19294, 299, 203, 57, 10704, 398, 884, 2257, 18, 13622, 16, 1054, 806, 449, 940, 517, 522, 969, 318, 325, 225, 69, 1046, 2561, 1962, 857, 9285, 16, 3991, 522, 2845, 11416, 9538, 225, 88, 76, 73, 2184, 3770, 1133, 8977, 290, 225, 88, 76, 73, 2845, 18, 5841, 806, 2376, 313, 882, 2463, 652, 225, 88, 76, 73, 34495, 3403, 1027, 458, 1837, 519, 1908, 325, 225, 69, 2777, 18, 996, 8977, 2629, 326, 225, 88, 76, 73, 1788, 32420, 2450, 499, 326, 357, 18, 1218, 691, 8977, 5587, 8977, 449, 18, 203, 47030, 39313, 203, 26605, 314, 1033, 479, 408, 813, 286, 502, 318, 17830, 952, 408, 479, 688, 2660, 717, 290, 717, 292, 609, 8712, 813, 286, 339, 664, 443, 16, 517, 544, 459, 14036, 20833, 225, 69, 10257, 286, 744, 443, 1156, 664, 408, 371, 2896, 18, 517, 650, 225, 69, 2660, 3259, 2719, 2165, 345, 786, 770, 1071, 780, 813, 286, 339, 664, 443, 780, 459, 5027, 6200, 359, 940, 359, 780, 424, 286, 339, 664, 443, 16, 408, 894, 24059, 18, 408, 9451, 531, 2733, 16, 3934, 1976, 15086, 16, 3934, 26576, 286, 427, 543, 670, 318, 6884, 359, 2660, 2134, 16, 517, 408, 17830, 581, 1761, 18, 23752, 18, 314, 943, 985, 821, 2896, 3660, 346, 670, 47435, 928, 18, 203, 1624, 691, 2845, 371, 4246, 326, 519, 4590, 314, 715, 813, 633, 286, 427, 225, 69, 42981, 326, 4040, 203, 14150, 567, 421, 8279, 203, 77, 1246, 398, 1565, 411, 6486, 51, 13468, 2363, 517, 6296, 693, 15354, 502, 1143, 542, 1902, 764, 543, 11459, 915, 225, 69, 1477, 1143, 333, 79, 19367, 203, 1543, 332, 2944, 319, 8183, 17, 48, 13472, 1543, 16, 361, 18, 26067, 203, 6412, 21774, 18, 828, 424, 1015, 530, 19213, 1155, 314, 943, 985, 19213, 18, 203, 4664, 502, 764, 543, 11459, 517, 30772, 292, 6989, 659, 286, 1424, 345, 499, 357, 943, 985, 764, 877, 581, 225, 88, 76, 73, 2733, 945, 203, 14150, 567, 421, 8279, 203, 48593, 203, 22607, 93, 33512, 203, 22555, 22555, 1143, 203, 22607, 93, 33512, 203, 22555, 22555, 4904, 203, 22607, 93, 33512, 203, 22555, 22555, 22555, 203, 6060, 352, 19752, 203, 1624, 225, 69, 1840, 23458, 396, 29, 19, 9227, 13, 225, 88, 76, 73, 745, 7968, 746, 909, 314, 427, 3606, 2705, 286, 530, 318, 693, 6, 4331, 985, 4874, 313, 459, 942, 2170, 631, 16, 313, 371, 1146, 1840, 2656, 1666, 3465, 318, 541, 11898, 18, 2864, 1335, 314, 714, 541, 9905, 326, 398, 1516, 18, 314, 703, 2655, 1696, 345, 857, 689, 45, 11, 288, 541, 9905, 326, 398, 2979, 1143, 285, 5204, 9605, 286, 10031, 785, 346, 689, 6412, 313, 6, 9461, 13460, 1516, 16, 517, 449, 2162, 9450, 1545, 225, 69, 2979, 292, 225, 69, 3719, 554, 18, 1366, 551, 10031, 346, 4084, 313, 5204, 541, 940, 1317, 286, 551, 2328, 18, 203, 37, 261, 303, 679, 203, 4274, 928, 4584, 2421, 286, 339, 2660, 4904, 45, 1919, 985, 1028, 857, 290, 314, 943, 985, 1028, 915, 18, 996, 14816, 4042, 286, 339, 225, 69, 42948, 345, 526, 633, 932, 5, 203, 3026, 380, 7497, 203, 15850, 2669, 708, 11007, 780, 318, 16, 780, 318, 1146, 1226, 308, 1120, 5, 2325, 884, 3029, 524, 282, 633, 18, 314, 1940, 629, 717, 715, 21303, 5008, 4418, 423, 7188, 18, 12713, 16, 314, 3229, 314, 385, 225, 69, 3277, 1938, 4035, 1143, 5856, 314, 714, 7768, 13468, 2363, 203, 37213, 1330, 7027, 711, 75, 203, 1905, 1229, 314, 5536, 290, 314, 6674, 225, 88, 76, 73, 7034, 383, 225, 88, 76, 73, 991, 693, 12570, 7960, 290, 225, 3589, 5, 203, 46, 5815, 26468, 203, 54, 579, 3425, 24221, 985, 502, 318, 76, 16, 517, 25257, 225, 88, 76, 73, 278, 14298, 524, 292, 633, 3029, 290, 8111, 581, 633, 5068, 3593, 664, 27669, 2938, 541, 780, 424, 283, 8225, 3260, 6989, 326, 1797, 3734, 18, 7219, 5, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 1371, 442, 689, 45, 5004, 18363, 16, 35683, 5274, 38402, 18327, 82, 16, 11411, 16, 2271, 17, 324, 77, 82, 16, 4958, 1159, 1565, 289, 19992, 6, 15627, 943, 985, 623, 524, 292, 633, 884, 836, 1143, 57, 18103, 5, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 2177, 4544, 345, 1143, 203, 60, 4561, 1422, 357, 286, 21774, 5, 203, 17243, 3585, 203, 12749, 5136, 293, 325, 689, 542, 6, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 45, 2463, 644, 442, 1150, 2809, 18, 15377, 806, 314, 644, 286, 1424, 225, 88, 76, 73, 5105, 688, 18, 996, 225, 69, 5052, 41661, 1723, 544, 659, 286, 499, 16, 544, 659, 286, 499, 18, 203, 1200, 602, 314, 2524, 225, 69, 1015, 5587, 691, 10242, 5052, 41661, 3667, 225, 88, 76, 73, 7190, 383, 965, 18, 3865, 16, 292, 1619, 544, 502, 16, 517, 313, 371, 7247, 346, 1240, 717, 596, 427, 874, 4762, 854, 35961, 290, 691, 544, 1919, 985, 813, 624, 286, 499, 286, 225, 88, 76, 73, 7190, 383, 1204, 1656, 979, 544, 1127, 17902, 291, 225, 88, 76, 73, 1204, 35, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 42378, 18, 13205, 345, 286, 2073, 1248, 18, 314, 2705, 10242, 5052, 41661, 16, 689, 48549, 1427, 442, 18, 1397, 21078, 16, 517, 1880, 365, 450, 336, 16, 1866, 1543, 659, 286, 1015, 551, 24656, 2330, 10317, 689, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 16300, 10065, 702, 943, 985, 502, 357, 18, 8906, 786, 5, 10127, 325, 915, 1143, 9788, 985, 502, 357, 18, 351, 18374, 10716, 2860, 6796, 8654, 8173, 5, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 7315, 329, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 1647, 18, 1498, 18, 1666, 12740, 225, 22501, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 40630, 3293 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1742, 28919, 352, 87, 3529, 2450, 292, 12228, 23490, 318, 10403, 18, 13606, 1069, 4504, 27587, 18, 13606, 1069, 459, 744, 279, 3281, 1408, 286, 225, 88, 76, 73, 962, 290, 4917, 346, 633, 1185, 291, 225, 88, 76, 73, 1962, 292, 2818, 1750, 290, 1512, 2255, 18, 557, 633, 2450, 16, 780, 459, 1635, 325, 2681, 2547, 16, 6961, 1376, 3074, 290, 12268, 19243, 3379, 18, 203, 37, 631, 12898, 4136, 504, 652, 3249, 286, 225, 88, 76, 73, 14208, 43, 6214, 4939, 25812, 18, 3045, 18, 11905, 5409, 361, 9207, 923, 539, 318, 279, 3731, 6551, 1968, 346, 11788, 688, 17, 5408, 359, 761, 359, 225, 69, 891, 2101, 292, 2479, 292, 3163, 1574, 290, 1604, 18382, 2148, 18, 1591, 522, 6897, 1185, 11905, 5409, 504, 652, 2912, 291, 225, 88, 76, 73, 1957, 9382, 292, 225, 88, 76, 73, 6551, 1950, 423, 3222, 1598, 5178, 286, 225, 88, 76, 73, 1750, 292, 5658, 9266, 2216, 18, 203, 521, 631, 3084, 318, 30753, 286, 1651, 225, 88, 76, 73, 3084, 2540, 346, 1185, 290, 13399, 18, 3628, 1156, 1324, 286, 1976, 654, 2260, 292, 225, 88, 76, 73, 962, 754, 225, 88, 76, 73, 1622, 383, 203, 3021, 10148, 203, 13664, 1217, 2, 0, 3732, 26235, 13, 203, 45, 2383, 1870, 629, 6717, 15146, 326, 2391, 34036, 19, 7467, 34036, 3303, 47, 16, 265, 385, 14641, 292, 1249, 1230, 225, 88, 76, 73, 1150, 1095, 15146, 541, 265, 2463, 652, 3347, 326, 225, 69, 1027, 581, 1870, 1334, 1403, 326, 551, 1474, 7733, 396, 88, 76, 73, 7495, 2740, 35434, 14175, 326, 365, 859, 203, 45, 1100, 225, 69, 836, 286, 689, 2714, 362, 994, 6, 225, 88, 76, 73, 6717, 9568, 325, 225, 88, 76, 73, 3039, 715, 431, 5561, 16, 265, 385, 2561, 346, 225, 69, 2735, 292, 34072, 265, 427, 290, 265, 1100, 225, 69, 2204, 836, 286, 3986, 225, 88, 76, 73, 9568, 286, 225, 88, 76, 73, 15146, 30, 203, 8535, 706, 225, 88, 76, 73, 6440, 641, 292, 225, 69, 2391, 34036, 5415, 3039, 16, 715, 2819, 225, 88, 76, 73, 11056, 203, 4294, 225, 88, 76, 73, 3039, 19055, 968, 325, 2, 0, 5773, 286, 10772, 203, 55, 26112, 3568, 557, 23983, 43188, 10027, 203, 15092, 16, 2485, 2399, 16, 1910, 16, 1260, 30, 1878, 3806, 774, 1136, 30, 1878, 3806, 5578, 56, 203, 17708, 30, 6953, 203, 5312, 887, 969, 318, 1444, 292, 4047, 1388, 290, 1240, 18, 1605, 1528, 427, 225, 88, 76, 73, 2991, 286, 9445, 14259, 16, 544, 424, 1973, 290, 1405, 18, 1591, 225, 88, 76, 73, 723, 292, 531, 1907, 325, 319, 26112, 3568, 16, 225, 88, 76, 73, 10252, 11366, 326, 17969, 10390, 290, 10252, 39337, 87, 12630, 371, 4572, 286, 1877, 225, 69, 1324, 6408, 345, 424, 723, 11648, 3366, 352, 16868, 290, 23307, 1528, 352, 87, 3287, 290, 4613, 1489, 291, 1189, 290, 27328, 2230, 18, 203, 2598, 442, 1324, 5323, 2003, 16, 313, 2755, 427, 225, 69, 3122, 286, 30, 203, 21, 18, 5638, 622, 225, 88, 76, 73, 1848, 8054, 326, 16868, 18, 203, 22, 18, 23132, 1324, 319, 26112, 3568, 291, 23983, 34721, 290, 2825, 3169, 345, 6382, 16, 3366, 16, 290, 1528, 424, 787, 18, 203, 23, 18, 12839, 225, 69, 1095, 326, 708, 286, 744, 803, 3169, 9395, 326, 225, 88, 76, 73, 3366, 290, 1528, 291, 398, 1028, 18, 203, 45579, 7299, 43772, 30, 203, 40477, 203, 34521, 1810, 8186, 30, 203, 20145, 39265, 774, 9492, 39265, 8130, 325, 1249, 8310, 5374, 286, 1582, 1056, 290, 1670, 1626, 811, 633, 3084, 30560, 9947, 10808, 18, 1591, 1583, 15, 806, 292, 1185, 291, 2172, 1315, 14283, 8310, 16, 17059, 16, 290, 2930, 2528, 16, 780, 4917, 2479, 292, 708, 286, 1083, 6107, 11253, 5098, 4034, 3203, 290, 5374, 16, 970, 11920, 326, 14769, 286, 4715, 14287, 1118, 16, 1582, 290, 3250, 8310, 290, 2797, 3407, 16, 290, 3279, 7987, 2094, 18, 203, 1624, 225, 69, 2774, 15420, 290, 8310, 10758, 346, 10252, 39337, 87, 12630, 16, 780, 5156, 4320, 286, 7418, 225, 88, 76, 73, 2707, 292, 18257, 8100, 3901, 396, 15788, 87, 13, 325, 314, 330, 555, 352, 1489, 290, 761, 17, 6957, 290, 225, 88, 76, 73, 5118, 292, 28923, 7294, 2557, 290, 4100, 286, 5242, 7046, 290, 1127, 12917, 4769, 346, 3366, 18, 9492, 568, 5156, 225, 88, 76, 73, 10252, 11366, 326, 17969, 10390, 16, 225, 69, 11529, 3605, 346, 319, 26112, 3568, 291, 23983, 286, 2147, 225, 88, 76, 73, 1670, 17, 45451, 761, 17, 6957, 292, 2845, 6843, 1669, 17, 28, 291, 10252, 290, 318, 225, 69, 9907, 286, 1103, 1489, 18015, 754, 225, 88, 76, 73, 3308, 16578, 18194, 3119, 431, 6739, 17, 46216, 3308, 5031, 18, 203, 20145, 2418, 2497, 26374, 325, 319, 26112, 3568, 291, 23983, 3169, 16, 10252, 39337, 87, 1415, 290, 1734, 16, 290, 14769, 3305, 286, 1103, 290, 1201, 761, 17, 6957, 18, 203, 24159, 459, 1922, 383, 1260, 30, 564, 3375, 18, 6953, 459, 1922, 17214, 383, 1260, 30, 1878, 3375, 18, 738, 2003, 318, 6931, 1535, 1136, 30, 1878, 3375, 18, 203, 4867, 3639, 30, 36103, 13129, 318, 2758, 286, 2246, 1376, 1434, 554, 292, 225, 88, 76, 73, 1474, 389, 8008, 1103, 13859, 1310, 9804, 16, 1315, 30, 5595, 1645, 2584, 3817, 396, 6761, 55, 5507, 43265, 23837, 15020, 3850, 396, 53, 54, 10933, 13, 2030, 3348, 18608, 4547, 31, 4898, 27996, 14608, 3817, 396, 39, 59, 2180, 4922, 1979, 4276, 3817, 31, 19158, 1548, 37482, 9286, 396, 55, 2700, 5507, 31516, 16, 5533, 1355, 16, 6953, 290, 6764, 3817, 396, 32443, 4846, 5507, 15969, 9446, 31, 18608, 4547, 9079, 3721, 18, 996, 313, 502, 449, 548, 1434, 554, 292, 225, 88, 76, 73, 1474, 389, 8008, 1103, 13859, 1382, 4013, 16, 313, 783, 339, 43681, 423, 225, 88, 76, 73, 1619, 290, 4265, 325, 225, 69, 3764, 1241, 18, 203, 1371, 313, 427, 2257, 4160, 13129, 326, 225, 88, 76, 73, 2003, 388, 691, 313, 371, 6708, 286, 5770, 326, 654, 2157, 16, 2330, 1976, 18808, 6949, 396, 63, 12584, 6488, 65, 859, 2, 0, 521, 20741, 21716, 3849, 504, 959, 629, 1124, 631, 17965 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 16, 290, 2629, 286, 1877, 629, 4322, 292, 14728, 346, 305, 352, 446, 18, 203, 26458, 530, 16, 650, 313, 623, 4438, 16, 313, 459, 339, 13232, 431, 2204, 29228, 955, 359, 4878, 6774, 1046, 4763, 18, 203, 38262, 3565, 424, 2037, 203, 8611, 2576, 7331, 203, 4696, 442, 30, 203, 9158, 203, 7995, 203, 7412, 203, 15434, 203, 24094, 203, 38405, 203, 56, 28150, 203, 19429, 203, 4256, 442, 30, 203, 4256, 13897, 1143, 203, 5616, 2944, 2571, 1710, 83, 20116, 203, 7800, 2357, 16, 2153, 2427, 3143, 16, 2153, 2030, 7950, 15026, 87, 2030, 9829, 225, 69, 3465, 203, 7291, 94, 410, 303, 318, 554, 292, 225, 88, 76, 73, 745, 4383, 10212, 5144, 616, 2195, 425, 12789, 550, 388, 30417, 8970, 9003, 291, 225, 88, 76, 73, 12652, 4831, 18, 18556, 715, 1808, 225, 88, 76, 73, 836, 423, 46753, 1226, 28980, 16, 357, 318, 225, 69, 823, 6689, 2145, 326, 12465, 8521, 18, 6480, 12478, 291, 225, 88, 76, 73, 1627, 292, 25726, 2571, 1710, 83, 325, 225, 88, 76, 73, 47710, 29911, 27093, 16, 357, 318, 25958, 326, 709, 40561, 19, 2714, 15016, 14128, 290, 5135, 18, 4121, 225, 69, 12777, 487, 264, 16823, 437, 16, 517, 314, 1033, 225, 88, 76, 73, 4449, 2084, 292, 442, 3442, 318, 2970, 8889, 225, 88, 76, 73, 5594, 16519, 292, 10912, 345, 318, 915, 709, 1179, 5303, 18, 1009, 314, 352, 81, 568, 225, 69, 1308, 29213, 345, 225, 88, 76, 73, 1179, 1773, 94, 410, 303, 5977, 385, 4595, 650, 314, 7089, 18, 13722, 1385, 720, 225, 88, 76, 73, 21757, 292, 225, 69, 3040, 1638, 75, 18, 203, 7291, 94, 6597, 13855, 1102, 203, 8611, 2576, 7331, 203, 4696, 442, 30, 203, 9158, 203, 7995, 203, 7412, 203, 15434, 203, 24094, 203, 38405, 203, 56, 28150, 203, 19429, 203, 4256, 442, 30, 203, 4256, 13897, 1143, 203, 887, 3240, 1713, 22041, 312, 2564, 203, 7552, 3498, 16, 2153, 2429, 832, 16, 2153, 2030, 7950, 15026, 87, 2030, 377, 9028, 203, 39, 9096, 421, 2564, 318, 225, 88, 76, 73, 36576, 21634, 292, 9533, 345, 459, 4675, 313, 292, 554, 909, 30, 8541, 10836, 18, 5938, 16, 442, 385, 225, 88, 76, 73, 2648, 16227, 292, 25440, 16, 1450, 19757, 16, 8762, 290, 28843, 352, 87, 11511, 291, 225, 88, 76, 73, 11624, 30373, 16, 3851, 519, 2853, 3053, 318, 1411, 310, 290, 20794, 4878, 8230, 18, 1218, 16, 29287, 421, 2564, 318, 543, 720, 225, 69, 823, 39792, 21634, 18, 601, 318, 827, 225, 88, 76, 73, 1495, 292, 9533, 46758, 396, 88, 76, 73, 528, 13, 371, 2558, 290, 14736, 16, 225, 69, 1171, 292, 5068, 21523, 18, 601, 352, 87, 568, 225, 88, 76, 73, 965, 292, 1226, 17283, 290, 21415, 14331, 18, 203, 34256, 282, 968, 225, 88, 76, 73, 2441, 290, 785, 1001, 1102, 203, 8611, 2576, 7331, 203, 4696, 442, 30, 203, 9158, 203, 7995, 203, 7412, 203, 15434, 203, 24094, 203, 38405, 203, 56, 28150, 203, 19429, 203, 4256, 442, 30, 203, 4256, 13897, 1143, 203, 21292, 8226, 203, 18968, 28368, 5225, 203, 10954, 326, 30, 203, 48274, 203, 4644, 1920, 203, 7065, 1920, 203, 6974, 1920, 203, 8079, 1920, 203, 7675, 1920, 203, 8324, 2153, 203, 8209, 2153, 203, 7751, 2153, 203, 7800, 2153, 203, 7552, 2153, 203, 7322, 2153, 203, 7077, 2153, 203, 4644, 2153, 203, 7065, 2153, 203, 6974, 2153, 203, 8079, 2153, 203, 7675, 2153, 203, 8324, 2286, 203, 8209, 2286, 203, 7751, 2286, 203, 7800, 2286, 203, 7552, 2286, 203, 7322, 2286, 203, 7077, 2286, 203, 4644, 2286, 203, 7065, 2286, 203, 6974, 2286, 203, 8079, 2286, 203, 7675, 2286, 203, 8324, 2451, 203, 8209, 2451, 203, 7751, 2451, 203, 7800, 2451, 203, 7552, 2451, 203, 8997, 2714, 35309, 17736, 30, 203, 20128, 203, 9707, 18330, 609, 9855, 203, 8231, 203, 48482, 7762, 7762, 3796, 20737, 37383, 4839, 6564, 953, 359, 567, 12025, 18027, 2326, 3324, 28953, 936, 570, 10795, 1830, 3796, 12976, 12465, 12465, 2321, 3354, 12955, 48141, 33737, 48534, 1518, 1518, 3796, 45310, 48120, 23755, 2084, 5176, 11066, 357, 6635, 21059, 3428, 490, 6786, 1830, 28386, 28151, 969, 18187, 16531, 272, 3283, 5448, 2362, 9283, 5977, 13894, 1452, 1452, 12378, 2401, 2795, 2401, 17134, 3263, 631, 1469, 944, 631, 36770, 309, 7327, 3620, 37383, 7716, 2326, 3324, 27325, 4858, 3539, 309, 3478, 1271, 274, 18695, 359, 567, 7445, 2326, 3324, 3304, 1627, 1277, 16351, 4725, 1518, 949, 10852, 290, 44616, 2769, 10134, 37173, 225, 88, 76, 73, 3686, 10909, 2321, 2321, 2535, 26803, 2321, 3796, 2321, 10576, 7950, 2321, 6436, 13082, 32327, 443, 2084, 414, 7962, 21143, 44324, 2, 0, 829, 2066, 16, 2578, 225, 88, 76, 73, 7825, 16, 660, 318, 225, 88, 76, 73, 1731, 10249, 1951, 35882, 5858, 31, 87, 723, 18, 332, 2914, 292, 10908, 18419, 2128, 5780, 30459, 16, 479, 291, 2290, 292, 950, 16, 225, 69, 14178, 16, 459, 1083, 286, 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 10501, 77, 601, 35882, 5858, 31, 87, 225, 88, 76, 73, 2955, 292, 225, 88, 76, 73, 910, 5904, 18, 22099, 225, 88, 76, 73, 9017, 38968, 15680, 16, 458, 36115, 282, 325, 225, 88, 76, 73, 7711, 5, 689, 9165, 1191, 18, 1911, 2669, 670, 313, 502, 16, 313, 427, 286, 942, 225, 88, 76, 73, 30635, 292, 2128, 553, 9376, 10578, 8837, 18, 996, 28664, 689, 45, 688, 345, 16, 517, 442, 595, 16, 691, 660, 318, 786, 543, 16, 357, 459, 4973, 543, 720, 225, 88, 76, 73, 1657, 16, 517, 709, 309, 275, 4063, 263, 18, 1605, 9337, 261, 2897, 10686, 3742, 35882, 5858, 31, 87, 2797, 16, 458, 4222, 35882, 5858, 31, 88, 723, 16446, 18, 1838, 35882, 5858, 31, 87, 225, 88, 76, 73, 787, 292, 22753, 289, 314, 688, 345, 2170, 318, 23758, 325, 225, 88, 76, 73, 6640, 18, 1979, 955, 25535, 290, 6138, 16, 9116, 290, 9116, 427, 449, 652, 2843, 286, 15918, 16, 573, 504, 652, 2672, 73, 689, 4459, 30420, 16, 708, 1071, 225, 88, 76, 73, 4497, 8918, 14010, 286, 1118, 40026, 6144, 3045, 18, 290, 8431, 18, 1277, 366, 1919, 35882, 5858, 31, 88, 2037, 940 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 554, 292, 624, 396, 274, 17696, 326, 715, 225, 69, 1285, 859, 9286, 346, 2811, 9136, 16, 522, 3297, 9518, 286, 339, 4350, 325, 22525, 16, 9616, 225, 88, 76, 73, 21676, 4418, 292, 708, 15525, 318, 3952, 1808, 4292, 1119, 291, 17742, 31653, 290, 14571, 16, 13914, 4794, 225, 88, 76, 73, 4436, 18, 203, 203, 829, 2987, 16, 4532, 7054, 18837, 18285, 286, 40067, 291, 4523, 291, 225, 88, 76, 73, 25612, 19957, 9518, 4523, 526, 6766, 16841, 3447, 16, 3689, 326, 10805, 832, 18, 4532, 7054, 318, 568, 554, 292, 225, 88, 76, 73, 10488, 292, 34116, 3888, 3282, 16, 279, 4885, 4239, 2551, 1250, 291, 225, 88, 76, 73, 3261, 4632, 325, 2818, 1474, 11785, 6927, 18, 203, 203, 13448, 7054, 5801, 225, 88, 76, 73, 19506, 13025, 2720, 1925, 291, 225, 88, 76, 73, 5898, 991, 292, 5052, 3675, 18, 2836, 458, 2016, 291, 3023, 16, 3261, 16, 290, 17137, 1119, 3023, 290, 5052, 3675, 522, 17275, 87, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 23260, 4347, 1131, 6089, 5254, 4902, 203, 20333, 5052, 3675, 203, 25083, 286, 5052, 3675, 203, 1893, 29783, 203, 8597, 474, 3888, 3282, 999, 5184, 32768, 20069, 203, 7504, 20239, 8031, 5247, 5472, 203, 10077, 2983, 325, 4532, 7054, 203, 55, 281, 747, 4532, 7054, 30, 409, 1004, 526, 745, 38604, 1782, 17, 11180, 203, 203, 25759, 4686, 203, 6004, 717, 203, 19162, 14077, 203, 55, 15546, 31653, 261, 14077, 203, 55, 15546, 31653, 261, 9518, 24604, 203, 25158, 425, 717, 203, 5013, 423, 5052, 3675, 2, 0, 31802, 49830, 86, 358, 17, 485, 321, 274, 18585, 9069, 385, 279, 38070, 333, 4223, 14864, 290, 11970, 396, 43476, 388, 714, 347, 13, 292, 316, 1239, 308, 290, 225, 88, 76, 73, 7164, 3524, 346, 225, 88, 76, 73, 28239, 8918, 291, 331, 299, 26646, 31220, 203, 203, 9794, 203, 1624, 522, 309, 293, 6358, 2719, 16, 458, 385, 225, 69, 2677, 43601, 44256, 292, 364, 321, 274, 358, 17, 40, 362, 27010, 16, 596, 385, 225, 88, 76, 73, 11970, 292, 316, 1239, 308, 290, 225, 88, 76, 73, 7164, 3524, 346, 225, 88, 76, 73, 28239, 8918, 291, 331, 299, 26646, 291, 1913, 203, 203, 3462, 1260, 7272, 16, 21506, 86, 385, 3544, 11970, 292, 316, 1239, 308, 18, 557, 4357, 292, 345, 602, 396, 8324, 1260, 7272, 19, 7675, 1260, 7122, 13, 458, 1837, 4248, 292, 225, 69, 28239, 18029, 1584, 13662, 84, 6151, 286, 14427, 28239, 9133, 3544, 16, 7838, 346, 940, 451, 7332, 290, 16060, 16, 1315, 5012, 28239, 35695, 18, 557, 2485, 1260, 6427, 458, 24268, 225, 88, 76, 73, 23966, 5697, 346, 225, 88, 76, 73, 24594, 438, 2308, 1641, 21470, 431, 2212, 225, 88, 76, 73, 44948, 1365, 380, 290, 225, 88, 76, 73, 2264, 472, 4949, 17065, 3484, 1608, 325, 225, 88, 76, 73, 3703, 12301, 380, 325, 9089, 292, 225, 88, 76, 73, 8675, 25959, 333, 1145, 347, 13669, 74, 358, 17, 40, 560, 4880, 16, 596, 644, 291, 225, 88, 76, 73, 15248, 1620, 225, 88, 76, 73, 631, 6823, 682, 292, 225, 88, 76, 73, 331, 299, 4633, 47637, 18, 384, 16, 5777, 22, 16824, 643, 23473, 326, 279, 6964, 1319, 292, 28239, 3580, 1052, 31, 359, 225, 88, 76, 73, 24594, 438, 2308, 2404, 28003, 16060, 543, 16, 544, 644, 286, 339, 394, 555, 10895, 346, 1621, 18, 203, 203, 1987, 203, 203, 16741, 21246, 203, 1537, 88, 76, 17, 4577, 5850, 203, 3894, 22507, 333, 32319, 292, 316, 1239, 308, 203, 3894, 22507, 333, 717, 292, 225, 88, 76, 73, 6509, 1180, 3462, 94, 18780, 14516, 203, 5013, 292, 225, 88, 76, 73, 8675, 25959, 333, 1145, 19442, 292, 13662, 84, 6151, 203, 3894, 22507, 333, 312, 30500, 1010, 203, 27064, 74, 358, 17, 40, 560, 4880, 2, 0, 521, 17218, 33744, 10956, 292, 225, 88, 76, 73, 20576, 9121, 11764, 385, 225, 69, 3395, 4223, 4411, 345, 644, 279, 39638, 8811, 8016, 1154, 225, 88, 76, 73, 23215, 3646, 9515, 18, 409, 23703, 385, 2267, 325, 1260, 2827, 43791, 290, 4138, 34062, 18827, 44484, 486, 28759, 47923, 385, 6568, 359, 709, 14864, 18, 409, 23703, 385, 5401, 431, 13868, 225, 69, 7495, 5459, 1061, 24767, 7053, 423, 225, 88, 76, 73, 5706, 2290, 16, 225, 69, 1361, 1061, 24767, 7053, 16, 290, 225, 69, 1598, 28207, 7053, 959, 527, 292, 289, 1262, 1239, 290, 755, 24856, 1493, 17, 15225, 17, 18333, 2713, 18, 409, 7641, 797, 15514, 2765, 5014, 423, 225, 88, 76, 73, 2677, 8571, 33744, 10956, 18, 28759, 47923, 3119, 225, 88, 76, 73, 17218, 33744, 10956, 383, 29530, 438, 16, 21187, 272, 16, 2349, 17, 15521, 17, 37, 3697, 16, 3523, 523, 665, 303, 16, 290, 7529, 17, 40, 553, 1385, 18, 1979, 14819, 27611, 8609, 368, 27959, 23396, 2741, 291, 1846, 2355, 16, 225, 88, 76, 73, 23703, 22953, 286, 2431, 18, 203, 203, 43850, 203, 2598, 225, 88, 76, 73, 8976, 292, 3523, 11376, 448, 19086, 325, 377, 2827, 43791, 16, 4920, 16, 1318, 19813, 9893, 3119, 431, 2408, 70, 11475, 1254, 529, 47753, 12299, 1450, 5011, 4388, 9561, 6049, 16, 1318, 3395, 8931, 3119, 431, 27611, 18, 409, 19813, 15178, 1025, 16, 1318, 1180, 27, 16, 1318, 25657, 1027, 225, 88, 76, 73, 3395, 2970, 848, 16, 12460, 1673, 290, 18337, 21895, 3927, 18, 1979, 225, 88, 76, 73, 5269, 16, 225, 88, 76, 73, 3395, 5349, 40087, 286, 48642, 300, 17, 15521, 17, 4899, 622, 16, 827, 27611, 49119, 522, 28207, 698, 225, 88, 76, 73, 314, 33744, 16, 3299, 33744, 16, 603, 33744, 290, 17218, 33744, 10956, 16, 279, 4885, 7053, 3119, 431, 4138, 8639, 17, 27062, 5638, 34650, 290, 1220, 15514, 292, 15575, 8630, 28207, 18, 4138, 34062, 18827, 44484, 486, 28759, 47923, 385, 6568, 14864, 292, 225, 88, 76, 73, 17218, 33744, 10956, 16, 573, 385, 286, 1706, 28207, 811, 4138, 10664, 17, 45373, 12920, 17, 19785, 316, 3813, 487, 454, 345, 9583, 423, 225, 88, 76, 73, 5706, 2290, 18, 409, 3046, 6133, 643, 7133, 325, 1260, 2827, 16, 517, 225, 88, 76, 73, 3084, 292, 28759, 47923, 526, 23703, 385, 449, 3399, 5642, 524, 1535, 452 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 13, 385, 715, 225, 69, 1403, 1715, 16, 541, 345, 526, 11291, 8328, 18, 203, 203, 1266, 318, 291, 3245, 292, 442, 411, 17, 10944, 345, 225, 88, 76, 73, 43493, 420, 292, 35349, 290, 2633, 77, 3892, 1077, 17, 40, 5759, 318, 21076, 18, 601, 318, 715, 554, 3839, 3367, 6747, 292, 225, 88, 76, 73, 2639, 6229, 581, 4654, 292, 411, 17, 25588, 4882, 411, 12, 87, 13, 383, 37641, 4654, 292, 266, 16, 290, 660, 318, 940, 29836, 4840, 5602, 357, 18, 203, 203, 2854, 22358, 44925, 203, 203, 5678, 225, 88, 76, 73, 595, 292, 7929, 28181, 421, 22527, 396, 10250, 3583, 292, 225, 88, 76, 73, 461, 81, 1393, 71, 405, 2575, 1715, 13, 225, 88, 76, 73, 1403, 2450, 504, 652, 1712, 292, 1059, 475, 303, 666, 11620, 225, 346, 2709, 2785, 12216, 419, 903, 16, 290, 543, 4176, 991, 298, 12216, 419, 903, 18, 557, 3245, 292, 225, 88, 76, 73, 6006, 2836, 660, 318, 225, 69, 9159, 292, 475, 303, 666, 2692, 292, 17602, 17, 9182, 345, 8396, 524, 225, 88, 76, 73, 31470, 1284, 18, 1783, 371, 1403, 291, 519, 43770, 18, 738, 318, 2194, 291, 519, 411, 17, 25588, 4882, 291, 2655, 33498, 3245, 696, 225, 88, 76, 73, 38512, 4163, 2505, 318, 479, 292, 225, 88, 76, 73, 22718, 939, 23684, 294, 6206, 2181, 16, 2655, 720, 13295, 543, 2639, 2785, 31415, 25796, 18, 1666, 12014, 225, 69, 877, 3542, 292, 519, 28573, 12926, 359, 6535, 12920, 12926, 18, 601, 568, 1767, 624, 8531, 286, 2101, 346, 291, 3245, 292, 225, 88, 76, 73, 43493, 1259, 27616, 295, 20686, 396, 44, 8314, 43493, 420, 290, 28573, 43493, 420, 859, 557, 1059, 2579, 225, 88, 76, 73, 1403, 3343, 318, 543, 12709, 720, 225, 88, 76, 73, 2639, 18, 203, 203, 829, 225, 88, 76, 73, 1715, 292, 32924, 16802, 20260, 16, 225, 88, 76, 73, 46192, 27587, 478, 736, 445, 1659, 410, 385, 225, 88, 76, 73, 6831, 38640, 46192, 27587, 6624, 16, 286, 787, 32924, 16802, 20260, 292, 17602, 17, 9182, 286, 502, 1284, 1962, 6229, 20325, 326, 28574, 39078, 1944, 5690, 696, 291, 225, 88, 76, 73, 836, 345, 8615, 292, 17939, 1234, 554, 286, 502, 442, 326, 225, 88, 76, 73, 1962, 292, 14312, 4074, 18, 738, 2639, 2542, 16, 517, 291, 629, 2925, 346, 2979, 292, 13402, 1216, 396, 287, 318, 6342, 292, 1579, 3255, 13835, 859, 203, 203, 49, 35529, 1180, 49, 410, 1978, 43493, 420, 203, 203, 521, 1524, 77, 82, 1180, 49, 410, 1978, 43493, 420, 292, 38568, 1524, 77, 82, 290, 3906, 24818, 1978, 16, 9377, 431, 21564, 7791, 1069, 457, 16, 3984, 345, 225, 69, 13105, 331, 291, 709, 12730, 666, 2692, 478, 424, 770, 4051, 225, 69, 27100, 1319, 292, 2697, 345, 371, 292, 27100, 1374, 396, 69, 5117, 87, 297, 1570, 13, 291, 478, 16, 6468, 331, 3969, 478, 18, 1238, 371, 609, 543, 2639, 6963, 16, 955, 359, 225, 88, 76, 73, 19488, 298, 335, 628, 43493, 420, 573, 2639, 3540, 225, 88, 76, 73, 5212, 286, 1928, 17, 1110, 297, 2697, 18, 203, 203, 1987, 203, 203, 3894, 303, 666, 11620, 203, 13540, 5106, 18780, 20686, 2, 0, 58, 1081, 69, 331, 18581, 24067, 18581, 417, 5484, 3703, 783, 3188, 286, 30, 4327, 28024, 69, 331, 18581, 24067, 18581, 417, 5484, 16, 225, 69, 1054, 33527, 292, 225, 88, 76, 73, 1890, 1021, 9385, 291, 13597, 23312, 16, 1890, 1021, 9385, 2307, 203, 28024, 69, 331, 18581, 24067, 18581, 417, 5484, 16, 225, 69, 1736, 33527, 292, 225, 88, 76, 73, 1890, 1021, 9385, 1689, 13597, 23312, 16, 1890, 1021, 9385, 2307, 203, 203, 3591, 568, 1563, 331, 18581, 24067, 18581, 7654, 3703, 396, 20404, 13, 2, 0, 32739, 55, 3403, 318, 225, 69, 3024, 7175, 17, 2959, 1344, 1310, 290, 3494, 592, 345, 2743, 3029, 286, 2247, 326, 16, 1184, 16, 1386, 16, 2072, 16, 290, 2787, 34495, 34176, 290, 309, 46455, 18, 12592, 55, 3403, 25629, 346, 3814, 8646, 290, 279, 5506, 7092, 16, 5048, 3029, 286, 1629, 34495, 34176, 9899, 290, 11754, 431, 519, 3814, 1907, 290, 3029, 423, 1528, 526, 3621, 16, 3304, 3201, 16, 290, 1491, 18662, 4057, 18, 409, 1250, 526, 1344, 9167, 2216, 8718, 3029, 2247, 326, 34495, 34176, 431, 1883, 595, 290, 2777, 290, 4390, 225, 69, 9167, 18, 20903, 16, 3029, 424, 1244, 225, 69, 1616, 286, 225, 69, 5323, 1616, 2928, 18, 1542, 2777, 225, 88, 76, 73, 1250, 504, 4895, 225, 69, 2914, 292, 1175, 2905, 18, 4946, 2372, 291, 10032, 5538, 18, 203, 203, 6355, 203, 32739, 55, 3403, 526, 16198, 21354, 292, 225, 88, 76, 73, 2251, 326, 225, 88, 76, 73, 1310, 291, 1374, 286, 1582, 279, 3717, 16, 5751, 16, 543, 1797, 836, 286, 1184, 26988, 18, 6176, 19239, 30659, 28485, 291, 225, 69, 421, 11074, 4211, 2983, 345, 689, 45, 715, 2004, 357, 385, 1671, 292, 17694, 345, 313, 882, 499, 286, 5255, 16926, 290, 1184, 225, 69, 5009, 16, 517, 650, 313, 1902, 499, 286, 942, 225, 69, 1331, 350, 16, 357, 703, 949, 313, 2021, 290, 1477, 1556, 30659, 290, 1220, 795, 17, 47239, 5292, 12592, 55, 3403, 291, 2987, 346, 1382, 291, 225, 88, 76, 73, 3024, 7175, 4254, 7649, 18, 409, 1250, 4895, 225, 69, 2914, 292, 1175, 27, 18, 4946, 2372, 291, 7966, 290, 6108, 332, 5538, 1133, 3008, 290, 2862, 18, 203, 203, 5678, 11303, 16, 225, 88, 76, 73, 1310, 504, 5990, 286, 1519, 5394, 2453, 225, 88, 76, 73, 1851, 2198, 16, 1315, 16, 2196, 1761, 16, 3024, 7175, 16, 1063, 2229, 2086, 16, 5511, 5894, 16, 5402, 16, 290, 9953, 18, 12592, 55, 3403, 504, 5699, 23869, 16, 1318, 34495, 10287, 4786, 290, 225, 69, 3041, 3039, 292, 5392, 16, 1318, 3029, 290, 1872, 16, 1318, 1331, 1039, 359, 292, 2827, 2730, 18, 22925, 4001, 345, 12592, 55, 3403, 2897, 279, 689, 2005, 15496, 291, 2277, 290, 21651, 292, 1133, 452, 9, 290, 1872, 9, 619, 1285, 6, 2453, 2862, 290, 2855, 18, 203, 203, 829, 2698, 2855, 225, 88, 76, 73, 1250, 3823, 345, 2677, 40557, 6678, 16534, 11899, 703, 1620, 12592, 55, 3403 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 522, 37967, 291, 279, 3570, 30, 203, 45, 424, 352, 88, 2466, 442, 504, 4527, 286, 530, 18, 314, 385, 1191, 286, 2315, 551, 4206, 291, 4967, 5813, 442, 602, 290, 915, 345, 2516, 504, 652, 2498, 1576, 423, 530, 18, 1979, 9592, 551, 1619, 16, 314, 644, 225, 69, 1616, 14522, 527, 346, 225, 69, 1648, 3709, 517, 225, 88, 76, 73, 8254, 1924, 314, 2897, 981, 530, 318, 915, 49680, 346, 14159, 7739, 314, 427, 1772, 2896, 286, 10284, 955, 2898, 314, 770, 8669, 17472, 286, 2203, 16, 2162, 803, 10119, 1673, 2483, 286, 339, 19593, 292, 225, 88, 76, 73, 1476, 292, 531, 1201, 290, 225, 88, 76, 73, 25238, 544, 427, 326, 531, 5149, 28117, 658, 7739, 314, 714, 39543, 290, 1162, 1778, 459, 813, 286, 13450, 530, 915, 670, 318, 1736, 292, 551, 969, 459, 915, 339, 823, 2298, 18, 203, 10481, 16, 359, 279, 17255, 292, 225, 88, 76, 73, 13434, 8241, 292, 13333, 291, 9061, 16, 225, 69, 2427, 2272, 1891, 1109, 15026, 34034, 2116, 3104, 292, 7728, 32249, 16, 2219, 1054, 19775, 16, 290, 6991, 1584, 13333, 550, 291, 715, 225, 88, 76, 73, 3529, 1285, 3976, 30, 616, 829, 1490, 720, 4600, 1477, 16, 1560, 13333, 643, 5588, 7739, 7870, 1778, 643, 36501, 1102, 290, 1220, 543, 643, 5981, 286, 10344, 286, 7886, 7739, 11535, 559, 4570, 4100, 568, 8792, 8269, 16, 359, 225, 69, 1504, 291, 19163, 322, 385, 12489, 290, 16412, 326, 6322, 286, 3613, 519, 3042, 1102, 1814, 13333, 3264, 643, 17868, 16412, 290, 35242, 2453, 9061, 27531, 26306, 291, 11372, 415, 274, 568, 644, 286, 4844, 225, 88, 76, 73, 37503, 292, 225, 69, 4570, 17416, 596, 385, 41207, 36501, 431, 1220, 1673, 1076, 203, 23208, 1921, 325, 4570, 29948, 290, 331, 37806, 203, 39167, 567, 30, 1507, 2427, 3498, 16, 7655, 6040, 968, 1220, 10012, 325, 4026, 20001, 4404, 18, 43097, 56, 65, 76, 73, 7655, 15506, 18283, 292, 1502, 1374, 290, 1848, 9015, 48114, 18, 2335, 11823, 292, 379, 26165, 880, 375, 408, 994, 359, 225, 88, 76, 73, 10012, 643, 4595, 1395, 5189, 554, 1891, 18, 616, 988, 644, 652, 8715, 1713, 1036, 1364, 4988, 290, 19786, 479, 1848, 7034, 3572, 1395, 928, 225, 88, 76, 73, 16653, 292, 554, 292, 225, 88, 76, 73, 4595, 10012, 18, 616, 988, 427, 874, 2387, 225, 69, 877, 2168, 346, 225, 88, 76, 73, 1491, 7655, 18, 8621, 225, 88, 76, 73, 9015, 385, 449, 8740, 18, 409, 5670, 3042, 3017, 291, 225, 88, 76, 73, 1389, 1154, 225, 88, 76, 73, 1172, 7134, 783, 427, 4835, 1716, 20844, 2196, 225, 88, 76, 73, 4889, 17, 38794, 6147, 1076, 6480, 1491, 3481, 928, 225, 88, 76, 73, 10012, 643, 4595, 286, 5407, 446, 225, 69, 5812, 8784, 10868, 30, 616, 521, 1858, 38794, 65, 4227, 1357, 10511, 225, 69, 14203, 346, 225, 88, 76, 73, 2930, 7655, 290, 41367, 225, 88, 76, 73, 1118, 292, 12833, 1275, 12312, 5638, 7577, 10553, 286, 1914, 15569, 1584, 225, 88, 76, 73, 10012, 18, 409, 927, 981, 225, 88, 76, 73, 3042, 29140, 16, 225, 69, 4964, 644, 652, 35437, 3902, 345, 225, 69, 8620, 8784, 4848, 703, 15005, 291, 2290, 292, 225, 88, 76, 73, 1220, 10012, 325, 4061, 16, 2427, 3436, 18, 409, 2151, 2891, 286, 10983, 225, 88, 76, 73, 10012, 286, 3349, 225, 88, 76, 73, 721, 8350, 1076, 1099, 286, 1656, 225, 88, 76, 73, 10012, 3900, 225, 88, 76, 73, 3046, 13833, 16, 43097, 88, 65, 76, 73, 1491, 2151, 1395, 6846, 32105, 421, 32347, 24870, 856, 16, 13324, 292, 225, 88, 76, 73, 37025, 292, 29948, 291, 12130, 16, 616, 6985, 87, 43700, 225, 88, 76, 73, 1149, 286, 427, 225, 88, 76, 73, 9015, 16, 388, 715, 9808, 357, 1342, 654, 3872, 18, 1238, 371, 5191, 292, 609, 1858, 38794, 65, 3152, 292, 8715, 345, 943, 352, 88, 427, 13833, 16, 517, 2554, 286, 6691, 18, 314, 715, 424, 352, 88, 1545, 1656, 544, 1825, 352, 88, 1424, 443, 427, 531, 10012, 18, 314, 424, 1545, 691, 1858, 88, 76, 73, 1491, 2151, 65, 18758, 443, 423, 1597, 225, 88, 76, 73, 13833, 691, 408, 1013, 225, 88, 76, 73, 4700, 326, 7038, 2580, 16, 517, 408, 1013, 624, 286, 13828, 2203, 1076, 5502, 286, 225, 69, 1891, 16, 442, 616, 293, 225, 88, 76, 73, 3297, 4336, 286, 2405, 10012, 291, 225, 69, 1651, 345, 3938, 543, 720, 377, 16, 1318, 29140, 291, 543, 720, 225, 69, 7134, 18, 14890, 857, 16, 12130, 644, 225, 69, 6956, 326, 279, 12818, 292, 7886, 345, 21115, 6556, 19271, 18, 1218, 8784, 3654, 1131, 427, 652, 28994, 225, 88, 76, 73, 11526, 292, 12312, 1690, 2453, 12130, 16, 3082, 6556, 36446, 1076, 203, 37390, 30, 4626, 544, 616, 768, 32724, 286, 225, 88, 76, 73, 4933, 292, 225, 69, 3042, 291, 225, 88, 76, 73, 1389, 1395, 6177, 292, 16824, 16360, 6190, 290, 12489, 4570, 4354, 290, 2402, 397, 282, 797, 13333, 16, 554, 291, 225, 88, 76, 73, 1357, 225, 88, 76, 73, 609, 291, 225, 88, 76, 73, 2245, 18, 5502, 286, 554, 1891, 16, 616, 17672, 1858, 19584, 65, 4354, 643, 394, 555, 7674, 16, 26032, 282, 290, 14317, 917, 325, 2883, 431, 225, 69, 8784, 7911, 1154, 225, 88, 76, 73, 1220, 17, 9591, 17, 7124, 3727, 16, 573, 385, 14847, 291, 10868, 292, 554, 292, 225, 88, 76, 73, 5119, 961, 1013, 359, 225, 69, 965, 3042, 18, 332, 1491, 3481, 3264, 928, 225, 88, 76, 73, 1240, 8868, 16802, 1504, 644, 652, 16021, 581, 225, 88, 76, 73, 3727, 325, 2429, 4600, 225, 69, 1162, 1477, 981, 357, 1837, 1128, 18, 8035, 7937, 225, 88, 76, 73, 4337, 286, 4060, 16, 7106, 979, 449, 4092, 1535, 225, 88, 76, 73, 3727, 644, 4093, 3846, 15062, 409, 3727, 8448, 291, 225, 88, 76, 73, 4227, 292, 17433, 1485, 893, 31662, 355, 18, 35598, 21503, 292, 709, 1872, 16, 1318, 3650, 371, 4570, 18, 616, 37, 2608, 11318, 326, 225, 88, 76, 73, 1150, 2157, 644, 2498, 1128, 291, 225, 69, 19430, 4227, 2754, 4164, 1395, 5189, 225, 69, 1891, 18, 203, 37 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 7306, 10473, 555, 9341, 7905, 291, 832, 286, 1025, 18, 409, 1041, 274, 21555, 292, 225, 88, 76, 73, 15888, 13442, 371, 479, 1552, 16, 2340, 2718, 554, 1378, 290, 1449, 291, 225, 69, 20588, 6020, 16, 573, 4614, 2405, 286, 225, 88, 76, 73, 37725, 292, 225, 88, 76, 73, 3035, 31, 15888, 13442, 2304, 2532, 359, 1856, 359, 225, 88, 76, 73, 1041, 274, 21555, 18, 13385, 274, 2333, 6659, 17, 790, 346, 7476, 16, 571, 28083, 728, 16, 2532, 18226, 2804, 31, 12046, 291, 225, 88, 76, 73, 42191, 641, 359, 1856, 359, 225, 88, 76, 73, 1041, 274, 21555, 4170, 17, 30688, 346, 6240, 2532, 21555, 16, 857, 36363, 2660, 290, 383, 225, 88, 76, 73, 2010, 274, 13867, 346, 11073, 17, 30688, 18226, 2804, 685, 10921, 18, 291, 26859, 290, 2532, 390, 25557, 18, 1913, 17370, 588, 36959, 16, 3911, 290, 3194, 3551, 4523, 18, 774, 475, 18, 33677, 296, 3640, 77, 30783, 18, 504, 225, 88, 76, 73, 1598, 1011, 368, 607, 7905, 292, 225, 88, 76, 73, 1948, 10210, 4196, 290, 225, 88, 76, 73, 18226, 2804, 325, 225, 88, 76, 73, 527, 6491, 514, 292, 225, 88, 76, 73, 15888, 13442, 581, 384, 10921, 18, 291, 26859, 18, 17370, 588, 36959, 18, 557, 475, 18, 4053, 416, 321, 567, 30783, 18, 225, 88, 76, 73, 11713, 371, 543, 39362, 29656, 290, 225, 88, 76, 73, 1731, 5321, 325, 225, 88, 76, 73, 527, 6491, 514, 292, 225, 88, 76, 73, 15888, 13442, 15362, 4093, 286, 225, 88, 76, 73, 3039, 292, 3035, 2712, 832, 286, 1025, 18, 2812, 2475, 2895, 18, 203, 203, 8997, 29493, 203, 6657, 1428, 10226, 280, 1018, 350, 77, 280, 1018, 350, 77, 396, 87, 4231, 24520, 16, 7716, 37217, 16, 33273, 13, 203, 6657, 1428, 10226, 280, 1018, 350, 77, 1367, 73, 3166, 9923, 468, 387, 16, 5969, 396, 82, 4307, 24520, 13, 203, 6657, 1428, 10226, 280, 1018, 350, 77, 5318, 380, 1254, 9088, 74, 16, 17138, 396, 32859, 17, 13289, 19261, 16, 14571, 13, 203, 6657, 1428, 10226, 280, 1018, 350, 77, 4053, 416, 321, 567, 30783, 893, 16, 21797, 396, 32859, 17, 13289, 24520, 13, 203, 203, 10469, 1253, 203, 521, 13764, 6725, 292, 29075, 1780, 12992, 18, 203, 203, 521, 30036, 3294, 325, 7093, 7354, 3860, 18, 203, 203, 35855, 203, 1266, 318, 225, 69, 2260, 292, 225, 88, 76, 73, 2452, 1428, 10226, 489, 391, 327, 4395, 3860, 1275, 774, 2682, 517, 821, 568, 18395, 954, 3841, 1069, 457, 16, 2730, 203, 203, 1987, 203, 203, 38395, 18209, 4184, 291, 22163, 203, 70, 1018, 350, 77, 2, 0, 521, 46147, 291, 8693, 296, 2409, 318, 225, 69, 11262, 1644, 7440, 1782, 5782, 431, 14774, 1399, 324, 94, 4628, 290, 13483, 995, 6353, 1985, 396, 77, 82, 522, 724, 1083, 2450, 13, 290, 31553, 19873, 18, 409, 28495, 385, 3055, 431, 18042, 8968, 297, 290, 2212, 21024, 8409, 425, 16, 11591, 423, 225, 88, 76, 73, 12180, 4738, 431, 3988, 18503, 18, 203, 203, 521, 1782, 34488, 969, 2196, 225, 69, 1275, 292, 33974, 42394, 596, 6862, 524, 291, 689, 16291, 296, 2409, 6, 396, 69, 21890, 383, 345, 595, 326, 27199, 9357, 325, 14537, 526, 14865, 2699, 12341, 1689, 13366, 348, 3568, 290, 14299, 859, 409, 1782, 318, 225, 69, 1246, 1806, 1133, 17427, 396, 21074, 1985, 873, 225, 69, 1840, 36124, 290, 1240, 17, 2378, 22727, 2268, 16, 290, 16090, 396, 47, 17631, 19873, 873, 225, 69, 35932, 3259, 596, 7922, 17427, 35476, 18, 1236, 4515, 279, 36124, 16, 290, 969, 3177, 27893, 326, 624, 1119, 359, 519, 43220, 41301, 16, 4619, 3173, 286, 225, 69, 1909, 292, 20440, 886, 18, 203, 203, 20078, 225, 203, 829, 1063, 2229, 2086, 16, 16090, 7465, 286, 225, 88, 76, 73, 7431, 780, 7644, 346, 633, 14939, 16, 22870, 16, 819, 23217, 279, 571, 766, 1116, 18520, 290, 291, 1704, 16876, 18, 16090, 4515, 2923, 290, 17427, 16, 279, 714, 40967, 1240, 17, 2378, 4002, 12289, 286, 5334, 22870, 38083, 1621, 16, 2719, 8948, 26312, 35791, 290, 6866, 326, 633, 18, 16090, 17137, 7838, 286, 633, 44516, 1201, 517, 7505, 291, 346, 17427, 16, 290, 650, 780, 7922, 950, 2158, 7254, 16, 458, 8248, 345, 458, 318, 449, 279, 36124, 16, 517, 770, 3667, 225, 69, 1308, 18, 1456, 27199, 9357, 225, 32524, 8693, 296, 2409, 326, 961, 225, 69, 3053, 827, 42394, 4194, 290, 787, 7254, 225, 17427, 18376, 16090, 286, 1952, 38532, 16, 1315, 522, 3845, 26501, 16, 596, 44092, 749, 326, 225, 69, 2354, 18, 16090, 19833, 225, 88, 76, 73, 19644, 12288, 292, 42394, 7471, 527, 33974, 18, 203, 203, 43315, 290, 16090, 371, 4619, 612, 5433, 423, 519, 7431, 290, 1651, 698, 225, 69, 2729, 39340, 1848, 18, 1979, 17427, 9795, 633, 286, 3954, 33974, 326, 950, 16, 16090, 290, 225, 88, 76, 73, 12289, 16, 33957, 16, 371, 9859, 431, 29648, 4662, 354, 18, 4662, 354, 9795, 16090, 16, 689, 43315, 526, 1427, 313, 9919, 326, 950, 1850, 16, 36572, 6144, 44332, 442, 318, 225, 69, 2078, 4225, 326, 17427, 290, 522, 40435, 18, 731, 857, 8248, 286, 16090, 670, 357, 526, 664, 650, 660, 318, 225, 69, 15181, 291, 8693, 296, 2409, 31, 225, 69, 15181, 318, 650, 225, 88, 76, 73, 33974, 3760, 325, 225, 88, 76, 73, 4725, 318, 2110, 290, 42394, 1922, 286, 2410, 325, 1040, 609, 16, 1541, 689, 10248, 669, 6, 388, 6774, 1761, 291, 286, 225, 88, 76, 73, 4060, 291, 2877, 326, 30749, 18, 4662, 354, 25008, 9982, 16090, 290, 780, 7465, 286, 17427, 16, 596, 5795, 286, 787, 7254, 543, 8945, 18, 16090, 4619, 5795, 286, 3991, 527, 359, 761, 18, 203, 203, 43315, 2415, 24446, 16090, 318, 1249, 290, 27277, 5993, 286, 633, 18, 26501, 9795, 670, 544, 459, 1766, 325, 290, 2221, 17427, 548, 359, 225, 69, 28133, 284, 16, 286, 573, 16090, 6462, 290, 29815, 345, 780, 459, 623, 225, 69, 1616, 18, 1790, 16, 16090, 2678, 608, 907, 633, 631, 42858, 1616, 819, 1792, 2605, 6133, 288, 42253, 18, 2864, 981, 17427, 318, 286, 2235, 26501, 291, 225, 69, 46977, 16, 458, 21427, 7693, 18, 26501, 318, 11955, 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, 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 ]
[ 225, 69, 877, 2067, 286, 8259, 2442, 544, 427, 8636, 1264, 455, 264, 728, 225, 88, 76, 73, 3529, 4206, 325, 17161, 14527, 35, 203, 14940, 15725, 383, 14219, 30, 3475, 3806, 325, 3275, 2429, 16, 3008, 203, 6, 4193, 313, 1033, 225, 69, 1670, 15193, 4272, 318, 2648, 286, 339, 1316, 286, 1422, 225, 69, 16855, 12507, 2072, 286, 225, 69, 2794, 325, 17161, 7274, 13199, 6144, 1238, 526, 345, 290, 225, 88, 76, 73, 2066, 660, 2747, 985, 225, 69, 17161, 7274, 7908, 2196, 225, 88, 76, 73, 1220, 8471, 18, 384, 371, 291, 2715, 19, 19398, 31536, 18, 409, 609, 318, 26333, 13963, 18, 203, 14940, 15725, 383, 14219, 30, 7122, 3806, 325, 3275, 2429, 16, 3008, 203, 3268, 469, 76, 16, 389, 1365, 9497, 1104, 12750, 463, 2657, 286, 225, 88, 76, 73, 1049, 3918, 290, 24641, 551, 30459, 5, 19367, 203, 48434, 30, 1858, 40, 1365, 9497, 1104, 12750, 463, 65, 453, 44864, 16, 9905, 5, 203, 18143, 17331, 267, 4944, 383, 14219, 30, 4425, 3806, 325, 3275, 2429, 16, 3008, 203, 2866, 16, 9314, 225, 88, 76, 73, 3537, 16, 828, 1244, 3981, 290, 2477, 16, 517, 313, 1919, 985, 11000, 286, 1902, 1085, 225, 88, 76, 73, 1547, 314, 1850, 3269, 313, 573, 6475, 5559, 345, 1935, 689, 36280, 6, 396, 5834, 318, 1902, 279, 14105, 325, 225, 88, 76, 73, 1604, 292, 225, 88, 76, 73, 4206, 1013, 291, 689, 4904, 30010, 2151, 4593, 643, 3055, 286, 723, 528, 18, 55, 18, 12963, 290, 16796, 3849, 7403, 4785, 2442, 388, 449, 286, 1241, 17161, 14527, 359, 225, 69, 14099, 3860, 1556, 1043, 5856, 1607, 292, 616, 52, 8770, 11269, 29706, 4801, 10270, 30, 332, 4791, 17, 43660, 4801, 19065, 27745, 550, 557, 1935, 16, 442, 2621, 431, 4607, 9053, 291, 225, 88, 76, 73, 1962, 292, 2621, 1100, 345, 225, 88, 76, 73, 2621, 313, 7847, 286, 385, 689, 44150, 2044, 388, 27317, 325, 760, 2731, 1556, 409, 689, 26080, 9053, 6, 596, 26675, 398, 2794, 371, 30, 478, 18, 5040, 21882, 16, 7458, 292, 6718, 16, 409, 1967, 31162, 1925, 16, 1495, 292, 8170, 556, 386, 270, 331, 18, 3866, 3729, 290, 12117, 4801, 19065, 26333, 13963, 16, 13885, 1173, 1824, 295, 472, 16, 12733, 17, 20910, 32920, 2916, 326, 13885, 1173, 25244, 203, 33806, 3655, 860, 383, 14055, 30, 2288, 3806, 325, 3275, 2429, 16, 3008, 203, 8060, 764, 5, 26333, 13963, 1143, 541, 442, 3177, 1054, 785, 286, 225, 88, 76, 73, 1866, 1756, 3117, 10297, 994, 869, 290, 519, 23524, 11, 7920, 18, 3037, 65, 26720, 345, 8020, 16, 225, 88, 76, 73, 5212, 345, 17161, 7274, 4074, 371, 14888, 431, 10983, 13199, 318, 28028, 1143, 6182, 345, 10983, 13199, 371, 568, 24863, 1966, 286, 3617, 16731, 31, 7337, 16731, 21750, 4831, 4746, 37536, 4164, 291, 225, 88, 76, 73, 602, 21750, 10983, 37566, 325, 225, 88, 76, 73, 4746, 17526, 1576, 21750, 10983, 33703, 40859, 21750, 10069, 23510, 21750, 10069, 17161, 14527, 18, 1366, 1001, 16, 1866, 84, 8770, 7274, 4074, 371, 449, 24863, 1966, 286, 3617, 16731, 11, 1143, 544, 2164, 24863, 1966, 286, 1228, 7359, 4221, 2964, 431, 3617, 16731, 18, 3037, 65, 203, 21, 384, 685, 7219, 203, 5956, 225, 69, 9028, 203, 21572, 16, 706, 17, 46859, 388, 513, 289, 3096, 353, 3981, 459, 339, 17492, 18, 5032, 7532, 1143, 203, 1543, 659, 286, 339, 19391, 291, 286, 1244, 225, 69, 3465, 18, 27248, 2726, 225, 88, 76, 73, 1736, 13867, 388, 691, 313, 2164, 631, 16, 3945, 1036, 18, 2, 0, 7148, 1302, 16, 408, 4434, 225, 69, 35054, 6384, 291, 225, 88, 76, 73, 14380, 1297, 345, 25664, 709, 15785, 286, 225, 88, 76, 73, 14380, 6172, 2517, 19582, 5760, 51, 16, 573, 2743, 16111, 292, 1845, 4073, 12021, 14380, 9618, 396, 12913, 1143, 203, 38, 445, 5760, 51, 14341, 431, 5634, 45175, 22449, 359, 24776, 1892, 6727, 1900, 1798, 203, 14731, 99, 10148, 3143, 2079, 31631, 99, 22360, 383, 21516, 25331, 277, 811, 13847, 4163, 18411, 72, 5967, 309, 74, 375, 203, 38, 445, 5760, 20589, 15821, 12556, 5161, 286, 1669, 18, 4946, 34253, 1846, 4886, 18, 19582, 5760, 51, 23401, 2000, 328, 411, 7577, 1099, 798, 14380, 1504, 1592, 24414, 1172, 1302, 16, 19582, 5760, 51, 318, 8751, 225, 69, 3290, 1177, 18, 409, 541, 17, 11314, 14380, 6172, 1143, 203, 8878, 80, 1609, 8790, 4614, 524, 292, 34253, 286, 1386, 17520, 203, 14731, 99, 10148, 3143, 2079, 31631, 99, 22360, 383, 43769, 16525, 282, 811, 13847, 18411, 72, 5967, 35888, 24586, 2953, 2587, 16729, 2517, 2587, 203, 38, 445, 5760, 51, 16, 225, 69, 16729, 8790, 16, 504, 18140, 225, 88, 76, 73, 16789, 4793, 16282, 396, 91, 29588, 13, 291, 709, 4013, 346, 770, 1583, 1736, 290, 279, 8192, 1583, 16, 1318, 16282, 396, 29588, 13, 383, 225, 88, 76, 73, 2780, 345, 459, 339, 1013, 286, 1386, 17520, 18, 557, 225, 69, 5491, 5747, 16, 16048, 14380, 35808, 18, 2476, 8267, 968, 225, 88, 76, 73, 2163, 290, 9962, 524, 345, 14380, 2517, 30185, 915, 644, 286, 1386, 2313, 9, 4955, 409, 1244, 1143, 203, 18377, 2967, 2079, 203, 38, 2126, 1827, 272, 12566, 3086, 5142, 27583, 342, 1507, 19582, 5760, 51, 16, 1594, 738, 35610, 11535, 559, 14380, 7098, 35, 203, 14731, 99, 10148, 2967, 2079, 31631, 99, 22360, 383, 811, 13847, 11782, 71, 11782, 71, 7528, 587, 18411, 72, 5967, 14641, 225, 1662, 309, 1211, 14641, 225, 1662, 21297, 2595, 203, 37, 1648, 1319, 292, 361, 2126, 1827, 272, 30011, 3586, 26147, 371, 14172, 48133, 325, 225, 88, 76, 73, 16729, 2517, 19582, 5760, 51, 16, 424, 442, 46642, 698, 225, 69, 7785, 292, 225, 88, 76, 73, 2218, 1928, 17, 15430, 878, 15033, 1297, 35, 361, 2126, 1827, 272, 26147, 1456, 16319, 2924, 27583, 342, 1099, 19821, 22114, 14336, 1997, 18070, 2723, 9, 4143, 1558, 17, 10077, 2720, 19582, 5760, 51, 318, 225, 69, 2517, 345, 32295, 524, 24776, 7388, 286, 2798, 1584, 14380, 2366, 683, 886, 18, 18250, 16, 2798, 424, 1143, 2, 0, 45, 2632, 449, 541, 3329, 6566, 286, 717, 16, 290, 314, 424, 11013, 2842, 1870, 357, 18, 314, 2842, 1870, 357, 16 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 18, 203, 203, 521, 8947, 18868, 3232, 2897, 225, 88, 76, 73, 3593, 1943, 225, 88, 76, 73, 13231, 298, 2526, 290, 40165, 1220, 1864, 31852, 1434, 225, 88, 76, 73, 6035, 6017, 18, 1507, 225, 88, 76, 73, 12107, 292, 225, 88, 76, 73, 17283, 9290, 16, 45483, 5401, 225, 69, 3173, 1275, 346, 797, 609, 13009, 819, 29690, 1576, 423, 225, 88, 76, 73, 3593, 4467, 526, 1275, 18, 8035, 6133, 423, 522, 962, 2255, 16, 45483, 3838, 346, 225, 88, 76, 73, 1651, 18, 409, 17747, 7354, 47326, 17, 58, 356, 349, 649, 2122, 32502, 819, 225, 88, 76, 73, 45483, 1275, 286, 3613, 225, 88, 76, 73, 4248, 292, 45483, 526, 25187, 290, 3593, 4467, 5186, 300, 6577, 18, 45483, 12551, 225, 88, 76, 73, 3647, 1695, 291, 40142, 1128, 16, 14666, 17, 24536, 6042, 819, 225, 88, 76, 73, 3232, 6651, 5809, 5290, 603, 1135, 73, 16, 573, 3842, 950, 286, 943, 1001, 225, 88, 76, 73, 8325, 16483, 431, 2176, 6042, 658, 9506, 395, 3115, 262, 18, 45483, 526, 5148, 16, 2158, 225, 88, 76, 73, 3593, 1083, 1576, 423, 5186, 300, 6577, 290, 40744, 471, 277, 962, 15272, 16, 7345, 950, 225, 88, 76, 73, 25238, 292, 225, 88, 76, 73, 5224, 12901, 4329, 18, 203, 203, 521, 44224, 1532, 292, 225, 88, 76, 73, 3593, 2765, 2176, 30629, 31852, 981, 33629, 291, 225, 88, 76, 73, 12478, 292, 1594, 890, 5484, 18, 1507, 225, 88, 76, 73, 12107, 292, 225, 88, 76, 73, 363, 682, 710, 7103, 16, 5809, 5290, 603, 1135, 73, 8267, 1576, 290, 6089, 527, 286, 225, 88, 76, 73, 4467, 325, 225, 88, 76, 73, 2441, 981, 4499, 522, 1361, 12563, 3232, 18, 13381, 16, 2578, 5809, 5290, 603, 1135, 73, 16, 5186, 300, 6577, 3867, 1579, 1631, 286, 3727, 45483, 325, 225, 88, 76, 73, 19932, 292, 225, 88, 76, 73, 8125, 538, 16286, 23312, 31, 2375, 16, 45483, 7473, 479, 292, 522, 7505, 290, 225, 88, 76, 73, 797, 26021, 286, 225, 88, 76, 73, 3647, 291, 225, 88, 76, 73, 1150, 1275, 18, 13964, 1946, 16, 225, 88, 76, 73, 3593, 526, 2243, 927, 291, 225, 88, 76, 73, 13231, 298, 2526, 16, 385, 1638, 790, 431, 4436, 3928, 18, 332, 2182, 7407, 1275, 292, 1220, 385, 2123, 225, 69, 2645, 9109, 359, 225, 88, 76, 73, 1179, 2639, 15182, 37933, 18000, 2578, 291, 225, 69, 9871, 1275, 18, 1456, 4753, 2924, 17233, 526, 5224, 16277, 22870, 34708, 77, 524, 17, 1755, 4815, 282, 522, 797, 6552, 2182, 7407, 1592, 286, 1419, 522, 724, 4622, 4928, 3232, 1419, 18, 203, 203, 1624, 225, 88, 76, 73, 38040, 3232, 2483, 16, 225, 88, 76, 73, 15661, 23039, 3110, 544, 22102, 225, 69, 1716, 927, 819, 1220, 2298, 7767, 291, 225, 88, 76, 73, 13231, 298, 2526, 290, 18973, 18000, 383, 225, 69, 1928, 17, 356, 28565, 8193, 326, 658, 1220, 17, 9482, 292, 225, 88, 76, 73, 3232, 18, 35735, 2483, 286, 3727, 290, 1139, 2182, 7407, 3074, 346, 581, 225, 286, 499, 31, 2375, 16, 225, 88, 76, 73, 470, 7833, 1039, 11, 3201, 307, 15237, 291, 479, 7509, 290, 4734, 326, 225, 69, 20513, 3647, 345, 385, 4619, 1825, 431, 40139, 18908, 683, 1428, 16, 1482, 357, 225, 88, 76, 73, 1361, 12563, 3232, 1419, 326, 1456, 4753, 17, 6661, 17233, 18, 4150, 225, 88, 76, 73, 25596, 3232, 16, 8639, 17, 45373, 12920, 16939, 5292, 279, 3727, 819, 225, 88, 76, 73, 3173, 1275, 3846, 225, 88, 76, 73, 11178, 292, 225, 88, 76, 73, 3024, 22870, 7103, 18, 7870, 13009, 3989, 16939, 981, 225, 88, 76, 73, 894, 292, 225, 88, 76, 73, 2243, 11178, 291, 351, 2664, 19479, 16, 517, 16939, 7434, 624, 1846, 325, 291, 225, 88, 76, 73, 11178, 290, 18000, 225, 88, 76, 73, 2243, 225, 3976, 286, 1419, 225, 88, 76, 73, 3232, 18, 8333, 284, 290, 1254, 17836, 1881, 69, 4642, 286, 4715, 658, 10982, 6042, 325, 45483, 819, 544, 12489, 325, 225, 88, 76, 73, 2243, 11178, 18, 8035, 225, 69, 7785, 1434, 225, 88, 76, 73, 2243, 11425, 262, 292, 3232, 7191, 16, 225, 88, 76, 73, 1179, 1962, 4642, 286, 1914, 225, 69, 8417, 20513, 345, 385, 1825, 431, 6340, 5205, 18, 203, 203, 829, 225, 88, 76, 73, 7191, 17, 14081, 1532, 16, 225, 88, 76, 73, 2639, 15182, 37933, 643, 225, 69, 641, 292, 225, 88, 76, 73, 1150, 3173, 1275, 1535, 225, 88, 76, 73, 2243, 11178, 286, 225, 88, 76, 73, 15250, 3647, 291, 363, 7550, 18, 1254, 17836, 1881, 69, 12489, 225, 423, 225, 88, 76, 73, 3647, 290, 770, 4266, 609, 13009, 643, 1316, 286, 1031, 16, 1315, 8333, 284, 290, 45483, 18, 4020, 225, 1708, 16, 225, 88, 76, 73, 33970, 454, 12489, 1001, 290, 770, 45483, 290, 8333, 284, 6497, 346, 950, 18, 8035, 2314, 7509, 431, 1254, 17836, 1881, 69, 16, 225, 88, 76, 73, 1275, 18000, 1511, 527, 286, 225, 88, 76, 73, 3647, 18, 1591, 658, 225, 286, 499, 16, 8333, 284, 43125, 225, 69, 20513, 345, 1825, 950, 225, 88, 76, 73, 3232, 18, 8333, 284, 526, 2358, 325, 225, 88, 76, 73, 2037, 3459, 950, 286, 1361, 1128, 3758, 18, 409, 2243, 3232, 292, 225, 88, 76, 73, 9403, 49604, 294, 11, 1266, 10311, 385, 225, 69, 225, 1682, 595, 4972, 18, 5186, 300, 6577, 16, 596, 644, 21104, 291, 225, 88, 76, 73, 3529, 3232, 16, 979, 449, 894, 290, 11138, 225, 88, 76, 73, 3593, 18, 45483, 5419, 524, 225, 88, 76, 73, 1361, 17, 4294, 1068, 6018, 16, 11992, 6082, 30783, 893, 16, 431, 22677, 6042, 286, 1419, 225, 88, 76, 73, 927, 290, 225, 88, 76, 73, 3758, 3593, 3020, 18, 557, 1870, 541, 16, 45483, 2154, 225, 88, 76, 73, 724, 6982, 1010, 286, 1419, 225, 88, 76, 73, 49604, 294, 11, 1266, 10311, 18, 409, 609, 23578, 6269, 643, 5162, 431, 1928, 17, 19392, 13009, 326, 225, 88, 76, 73, 1361, 595, 291, 225, 88, 76, 73, 2084, 292, 225, 88, 76, 73, 3593, 18, 203, 203, 17672, 13009, 6892, 3080, 3232, 20815, 30, 10332, 77, 82, 396 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1878, 8237, 203, 4457, 203, 24, 14, 409, 24127, 18, 640, 586, 1473, 16, 395, 43, 28, 1260, 17311, 203, 825, 203, 4884, 203, 22400, 3275, 19, 28, 203, 6937, 18, 564, 3375, 203, 22400, 3275, 19, 28, 203, 3859, 18, 1878, 8237, 203, 5959, 203, 25, 409, 14343, 350, 12737, 16, 9656, 16, 453, 60, 22, 1669, 13730, 203, 1878, 203, 22562, 203, 22400, 3275, 19, 28, 203, 6688, 18, 564, 3375, 203, 14464, 2357, 19, 28, 203, 2566, 18, 1878, 8237, 203, 7764, 203, 26, 14, 409, 24127, 16, 361, 11234, 16, 453, 60, 1758, 384, 55, 60, 203, 3021, 203, 40742, 203, 22400, 3275, 19, 28, 203, 2288, 18, 564, 3375, 203, 8830, 2399, 19, 28, 203, 6834, 18, 564, 3375, 203, 9940, 18, 25, 203, 27, 14, 3537, 15643, 12737, 16, 10022, 40286, 16, 40990, 26, 1025, 46, 62, 203, 2721, 203, 37133, 203, 22400, 3275, 19, 28, 203, 2721, 18, 564, 8237, 203, 8830, 2399, 19, 28, 203, 1537, 18, 564, 3375, 203, 10575, 18, 25, 203, 42, 9857, 2694, 262, 383, 225, 88, 76, 73, 3481, 292, 3703, 26934, 396, 24348, 406, 26934, 5900, 12737, 16, 23340, 27, 1025, 34312, 13, 203, 2455, 203, 1758, 24, 203, 22400, 3275, 19, 28, 203, 2419, 18, 564, 8237, 203, 8830, 2399, 19, 28, 203, 1758, 18, 1878, 8237, 203, 3819, 203, 12904, 325, 225, 88, 76, 73, 2304, 20179, 16, 551, 2204, 1095, 4918, 286, 764, 664, 442, 18, 203, 11444, 203, 45823, 203, 52, 565, 8734, 4903, 14, 12794, 4903, 4903, 203, 55, 203, 20, 203, 1180, 696, 696, 20061, 1136, 18, 1878, 321, 203, 21, 203, 4299, 203, 24, 14375, 1025, 34853, 1872, 21419, 377, 606, 20061, 1124, 18, 564, 3288, 203, 22, 203, 4299, 203, 24, 14375, 1025, 34853, 1872, 21419, 377, 606, 9938, 12668, 18, 1878, 321, 203, 23, 203, 4309, 203, 24, 14375, 1148, 34853, 377, 606, 9938, 12165, 18, 1878, 321, 203, 24, 203, 825, 203, 24, 14375, 848, 34853, 377, 606, 9938, 1583, 18, 1878, 3288, 203, 25, 203, 1878, 203, 23, 14375, 1136, 34853, 377, 606, 4857, 14023, 18, 1878, 321, 203, 26, 203, 3021, 203, 23, 14375, 1188, 34853, 1872, 21419, 377, 606, 4857, 1519, 18, 564, 3288, 203, 27, 203, 2721, 203, 23, 14375, 832, 34853, 1872, 21419, 377, 606, 4857, 1946, 18, 1878, 3288, 203, 42, 203, 2455, 203, 23, 14375, 848, 34853, 1872, 21419, 696, 4857, 3275, 18, 564, 3288, 203, 12, 14, 395, 7848, 286, 15622, 16196, 326, 1709, 20210, 13, 203, 1200, 703, 1873, 291, 715, 658, 225, 69, 4099, 3597, 3647, 290, 2743, 1148, 34853, 326, 10263, 19, 45772, 383, 5329, 16031, 11437, 803, 783, 3910, 18, 203, 1371, 314, 15544, 13726, 429, 583, 708, 442, 3593, 459, 499, 16, 3300, 383, 225, 88, 76, 73, 26934, 42850, 383, 1136, 18, 1878, 321, 290, 857, 3427, 754, 396, 69, 5449, 5322, 13, 3023, 286, 9272, 377, 383, 21379, 1978, 18, 314, 352, 81, 2648, 286, 17367, 12556, 1036, 326, 1518, 290, 857, 4336, 325, 286, 9272, 384, 1737, 225, 88, 76, 73, 26934, 12792, 650, 357, 504, 40889, 225, 88, 76, 73, 1830, 359, 357, 3464, 17263, 290, 34327, 981, 13780, 1036, 383, 1876, 981, 5369, 290, 857, 3427, 4353, 9272, 23, 827, 314, 783, 6549, 279, 3597, 388, 797, 352, 87, 3400, 18, 1366, 16, 1856, 225, 88, 76, 73, 14878, 318, 2838, 5375, 359, 314, 352, 315, 1177, 225, 88, 76, 73, 26934, 12792, 2313, 225, 69, 2735, 292, 1631, 18, 203, 2856, 9272, 23, 383, 50149, 16, 709, 823, 5375, 9133, 359, 314, 1290, 754, 551, 17275, 292, 8376, 24438, 225, 88, 76, 73, 26399, 292, 15103, 1720, 352, 87, 2279, 15383, 311, 573, 318, 15716, 1054, 1358, 286, 225, 88, 76, 73, 5428, 3243, 290, 1085, 225, 88, 76, 73, 5557, 754, 8376, 16, 10439, 1047, 322, 3032, 1576, 423, 225, 88, 76, 73, 5428, 383, 1967, 1472, 1215, 290, 857, 4353, 640, 586, 1473, 18, 996, 357, 352, 87, 1060, 4201, 6213, 359, 5812, 16, 357, 352, 87, 225, 69, 5090, 2145, 326, 1518, 290, 1257, 290, 1651, 4353, 9272, 25, 18, 314, 352, 81, 17396, 225, 88, 76, 73, 8193, 459, 2859, 819, 2313, 4638, 290, 442, 882, 225, 69, 14840, 1532, 423, 640, 586, 1473, 286, 9656, 517, 905, 339, 5375, 286, 1059, 596, 427, 1177, 225, 88, 76, 73, 26934, 50223, 388, 26934, 12792, 18, 203, 37, 5090, 1716, 383, 9272, 25, 783, 339, 2505, 359, 408, 783, 339, 698, 225, 88, 76, 73, 1361, 1876, 981, 225, 88, 76, 73, 2243, 4336, 754, 9272, 26, 16, 1148, 290, 286, 225, 88, 76, 73, 3647, 10541, 715, 981, 225, 88, 76, 73, 2630, 1876, 18, 314, 352, 81, 449, 5375, 346, 442, 1172, 3512, 819, 9656, 541, 225, 69, 661, 360, 783, 339, 291, 1374, 359, 314, 1545, 357, 3464, 225, 69, 1308, 3982, 262, 359, 225, 88, 76, 73, 26934, 3703, 290, 43627, 31026, 18, 203, 10608, 225, 69, 6349, 1095, 16, 313, 459, 427, 286, 339, 7173, 325, 225, 88, 76, 73, 927, 359, 313, 783, 659, 279, 3597, 388, 797, 352, 87, 3400, 4164, 720, 3855, 388, 313, 783, 1156, 8207, 290, 12417, 290, 4336, 754, 18, 314, 459, 10174, 629, 4027, 314, 385, 2123, 981, 225, 88, 76, 73, 26934, 14699, 286, 6549, 383, 2070, 279, 2021, 3400, 325, 225, 88, 76, 73, 724, 1876, 16, 442, 2406, 761, 326, 530, 18, 203, 1266, 318, 2613, 3100, 2586, 286, 623, 286, 225, 69, 5329, 6262, 326, 3400, 715, 326, 225, 88, 76, 73, 2848, 292, 1597, 2170, 1060, 286, 2029, 398, 785, 18, 8240, 16, 14475, 785, 286, 551, 26934, 14699, 1185, 314, 979, 1934, 290, 3400, 291, 225, 69, 1962, 326, 279, 3597, 388, 797, 1133, 5329, 16031, 1249, 797, 1803, 22405, 396, 582, 286, 8111, 325, 290, 554, 286, 1702, 3000, 13, 517, 357, 1919, 352, 88, 1142, 548, 290, 819, 278, 1387, 277, 1060, 326, 2333, 279, 3597, 2586, 286, 623, 3974, 16, 314, 15412, 4353, 225, 88, 76, 73, 5329, 6262, 18, 203, 45472, 426, 203, 1543, 905, 479, 339, 4734, 286, 2315, 442, 1465, 7182, 517, 691, 660 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 290, 5703, 5524, 396, 5816, 16, 326, 1953, 16, 363, 18, 38036, 2836, 409, 5595, 4277, 292, 5504, 4433, 16, 14106, 203, 16, 388, 478, 18, 40564, 2836, 5595, 19900, 337, 587, 290, 5049, 10415, 16, 8694, 203, 859, 409, 2257, 6954, 1201, 21393, 9972, 292, 225, 88, 76, 73, 1924, 459, 14639, 339, 1046, 16, 359, 4875, 6926, 1875, 631, 2579, 286, 1598, 18, 1790, 16, 554, 909, 318, 2017, 30, 7896, 292, 2684, 291, 709, 2637, 16, 4482, 16, 6677, 16, 388, 1139, 16, 691, 1843, 1185, 318, 654, 3796, 857, 3366, 371, 1036, 286, 2037, 18, 5750, 568, 332, 9380, 11588, 11350, 27597, 45, 3824, 26869, 43409, 31, 34485, 7084, 44, 21585, 12076, 6809, 2053, 11350, 25171, 35307, 31, 34485, 7084, 44, 21585, 26334, 31066, 9723, 28775, 18, 203, 37, 26134, 28798, 16, 32472, 292, 225, 1556, 332, 26134, 292, 36061, 18, 1913, 848, 9588, 18, 2079, 203, 6, 16279, 16, 32472, 292, 225, 1556, 332, 26134, 292, 36061, 18, 1913, 396, 7751, 848, 16, 2079, 859, 203, 6, 16279, 16, 32472, 292, 225, 1556, 332, 26134, 292, 36061, 18, 1913, 24628, 2485, 14605, 16, 2079, 423, 203, 6314, 543, 581, 31894, 6542, 203, 39, 3362, 6542, 203, 75, 1052, 313, 225, 88, 76, 73, 2955, 286, 271, 39982, 1670, 22873, 18, 1099, 955, 544, 1102, 5595, 8583, 18016, 2836, 5595, 2557, 6229, 526, 9253, 12560, 423, 225, 88, 76, 73, 548, 292, 31700, 28154, 3841, 1607, 261, 632, 93, 526, 548, 325, 2639, 2557, 6229, 573, 3884, 225, 88, 76, 73, 1004, 292, 225, 88, 76, 73, 3283, 17, 1102, 35413, 5595, 2836, 5595, 16, 35413, 21192, 371, 6930, 491, 1263, 326, 29438, 636, 29073, 5385, 16, 6460, 16, 24530, 16, 290, 15634, 1434, 4292, 18, 1783, 3796, 1102, 26338, 5595, 2836, 409, 3463, 9812, 1201, 424, 339, 7112, 2454, 359, 225, 69, 3564, 19, 10898, 16, 225, 69, 4252, 19, 10178, 16, 290, 519, 1528, 18, 1790, 16, 442, 11516, 11390, 2114, 2166, 1102, 26884, 17, 429, 866, 21192, 2836, 26884, 17, 17252, 866, 21192, 409, 3162, 292, 10906, 17, 429, 866, 3366, 3118, 291, 1734, 325, 3366, 291, 5662, 1159, 16744, 18, 409, 3463, 385, 2318, 286, 697, 3633, 1102, 3624, 40591, 42359, 2836, 3624, 40591, 10578, 318, 554, 14201, 292, 225, 88, 76, 73, 4196, 4175, 292, 684, 40591, 1959, 18, 409, 3463, 684, 40591, 1959, 9616, 1102, 2, 0, 1266, 352, 87, 554, 909, 286, 4076, 4540, 650, 544, 352, 264, 479, 291, 225, 88, 76, 73, 1150, 1128, 383, 225, 88, 76, 73, 1150, 595, 18, 1790, 16, 650, 313, 1177, 225, 69, 3344, 932, 346, 1962, 4540, 16, 1228, 424, 623, 225, 69, 1171, 543, 5943, 18, 2352, 770, 371, 313, 4887, 449, 325, 225, 88, 76, 73, 1150, 1616, 1637, 359, 624, 16, 313, 1380, 568, 427, 4540, 17627, 658, 225, 69, 2692, 292, 3345, 290, 2547, 18, 17125, 624, 2087, 352, 88, 715, 1940, 15058, 624, 290, 1482, 1336, 544, 352, 264, 28292, 325, 225, 88, 76, 73, 1512, 16, 517, 568, 5892, 708, 286, 7404, 717, 290, 3091, 1133, 3345, 286, 5657, 9486, 18, 203, 4139, 371, 685, 1228, 313, 424, 502, 286, 5895, 4076, 1962, 4540, 291, 398, 3344, 932, 18, 203, 21, 18, 1397, 2017, 325, 398, 6663, 203, 3134, 292, 225, 88, 76, 73, 745, 5943, 2994, 292, 1597, 1962, 4540, 318, 650, 717, 943, 352, 88, 688, 670, 352, 87, 3855, 292, 624, 18, 1108, 1380, 1545, 670, 519, 1616, 318, 1641, 387, 339, 6155, 6824, 292, 8227, 524, 357, 1641, 5856, 1490, 2017, 325, 519, 1398, 292, 23615, 18, 203, 1905, 1953, 16, 811, 670, 6926, 502, 544, 659, 286, 3369, 313, 16, 10913, 650, 424, 544, 744, 6678, 5133, 325, 519, 884, 35, 1498, 660, 2170, 325, 1040, 1616, 1637, 596, 7856, 359, 962, 1083, 388, 371, 544, 479, 2123, 225, 88, 76, 73, 1150, 1398, 292, 7704, 35, 5721, 318, 225, 88, 76, 73, 32660, 16, 691, 660, 318, 554, 35, 1287, 5980, 905, 544, 7418, 346, 313, 581, 3360, 290, 670, 1216, 502, 313, 659, 35, 1838, 371, 225, 88, 76, 73, 26010, 544, 659, 286, 1446, 290, 650, 502, 544, 659, 286, 1446, 624, 35, 1838, 371, 398, 10699, 286, 225, 88, 76, 73, 4540, 325, 225, 88, 76, 73, 1616, 1637, 35, 203, 32311, 398, 1962, 4540, 225, 69, 2017, 2251, 292, 398, 6663, 1767, 357, 3717, 326, 624, 286, 11497, 286, 6375, 291, 225, 88, 76, 73, 2780, 16, 2655, 720, 9140, 691, 544, 659, 286, 1976, 313, 18, 601, 568, 2418, 624, 346, 225, 69, 7823, 326, 8227, 524, 519, 10373, 18, 9514, 16, 357, 13400, 883, 624, 345, 660, 371, 6663, 292, 313, 345, 313, 352, 635, 1446, 359, 761, 16, 955, 359, 7669, 544, 427, 225, 88, 76, 73, 1054, 2991, 326, 519, 4786, 18, 203, 22, 18, 39513, 398, 2991, 203, 5997, 3344, 2076, 1146, 787, 8139, 4821, 16, 955, 359, 10777, 4914, 16, 286, 1877, 1216, 18, 1783, 8139, 4821, 1937, 313, 286, 2072, 1648, 12907, 292, 16785, 290, 949, 527, 225, 69, 1171, 292, 398, 595, 715, 286, 1209, 527, 17, 273, 17, 7206, 325, 670, 352, 87, 1191, 325, 18, 1591, 3080, 1616, 3345, 16, 225, 88, 76, 73, 4506, 424, 1620, 571, 1010, 505, 545, 18, 203, 4280, 1477, 16, 660, 371, 1952, 5882, 290, 5866, 345, 424, 339, 1013, 286, 1877, 1216, 290, 7418, 346, 1962, 4540, 18, 828, 424, 3433, 5692, 286, 1962, 4540, 16, 1468, 624, 286, 6767, 1415, 290, 1877, 5323, 16785, 291, 1229, 595, 18, 203, 521, 1216, 318, 4034, 940, 543, 2801, 290, 9935, 16, 290, 9975, 968, 325, 225, 88, 76, 73, 2972, 292, 5071, 16785, 290, 609, 10021, 18, 601, 568, 2418, 313, 346, 225, 69, 2315, 14105, 4692, 16, 541, 313, 427, 7446, 292, 398, 1250, 352, 87, 2580, 16, 291, 1715, 660, 371, 1801, 654, 2257, 18, 203, 23, 18, 41454, 4540, 203, 3134, 292, 225, 88, 76, 73, 910, 1228, 313, 424, 502, 286, 4076, 1962, 4540, 318, 2359, 544, 479, 688, 544, 371, 641, 292, 225, 88, 76, 73, 962, 290, 1156, 10479, 431, 313, 18, 738, 1817, 961, 2017 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 1277, 18, 557, 745, 12150, 16, 3197, 596, 643, 18829, 1584, 225, 88, 76, 73, 1277, 291, 225, 69, 3529, 16185, 602, 371, 449, 3508, 286, 225, 88, 76, 73, 1474, 1277, 18, 738, 2626, 15902, 292, 4709, 326, 1474, 378, 17, 21, 38, 14255, 16111, 16, 2684, 291, 225, 88, 76, 73, 3245, 292, 7492, 326, 1474, 378, 17, 21, 38, 4540, 16, 290, 745, 42702, 326, 2684, 292, 378, 17, 21, 38, 10809, 290, 42702, 326, 36307, 7492, 291, 225, 69, 1361, 378, 17, 21, 38, 2067, 18, 203, 16991, 3227, 10511, 431, 1277, 28291, 4057, 18, 378, 17, 21, 38, 42702, 326, 7492, 383, 6297, 292, 2930, 2388, 388, 3305, 19, 1387, 31640, 14283, 14252, 16, 14283, 1734, 4057, 16, 290, 25707, 1734, 4057, 371, 1277, 17, 1339, 17630, 16, 290, 783, 339, 10511, 654, 595, 2453, 225, 88, 76, 73, 602, 18, 203, 4221, 39, 3048, 459, 9969, 543, 1216, 581, 225, 88, 76, 73, 1277, 6855, 1149, 291, 225, 88, 76, 73, 2754, 4208, 18, 14034, 1630, 459, 1369, 2917, 1216, 359, 357, 4515, 1349, 18, 203, 1905, 543, 1216, 16, 2330, 1976, 398, 14034, 1630, 8886, 388, 2368, 203, 2598, 13118, 203, 32197, 11134, 22145, 335, 4395, 203, 42790, 203, 12, 24, 2173, 13, 5000, 21, 17, 2905, 4472, 203, 7995, 203, 24094, 203, 9158, 203, 29207, 203, 22375, 203, 34886, 203, 27585, 292, 5577, 203, 13664, 22346, 4597, 17, 2079, 16, 14034, 1630, 10993, 954, 37316, 29900, 16, 33740, 18, 1558, 9712, 26181, 18, 13080, 21156, 18, 203, 24842, 27248, 203, 24842, 27248, 203, 988, 787, 9984, 325, 531, 1622, 286, 1422, 313, 225, 88, 76, 73, 745, 5107, 1185, 431, 21601, 398, 12187, 290, 10174, 8662, 18, 2519, 10107, 616, 44011, 4314, 313, 12258, 286, 225, 88, 76, 73, 787, 292, 12076, 225, 88, 76, 73, 9984, 18, 1790, 313, 783, 2403, 32664, 17567, 286, 1369, 225, 69, 8522, 12258, 18, 203, 22049, 694, 6259, 2710, 6633, 15390, 203, 22375, 954, 29665, 7532, 203, 21173, 203, 22375, 23875, 203, 2, 0, 56, 4930, 17488, 29914, 4119, 292, 13344, 504, 6568, 319, 3014, 282, 16954, 768, 1082, 359, 225, 88, 76, 73, 631, 3962, 2639, 292, 225, 88, 76, 73, 7704, 18, 203, 829, 1408, 286, 522, 6897, 1185, 291, 35051, 292, 7019, 16, 3983, 290, 2155, 11785, 16, 16954, 768, 1082, 2404, 1579, 5012, 6678, 6269, 290, 504, 652, 225, 69, 2260, 292, 225, 88, 76, 73, 19104, 6787, 292, 1957, 2151, 14252, 18, 203, 43, 76, 768, 1082, 385, 225, 69, 3962, 291, 225, 88, 76, 73, 2347, 292, 19406, 10689, 383, 225, 88, 76, 73, 13932, 8706, 4368, 18, 731, 568, 3220, 359, 7398, 6715, 6678, 6666, 290, 6715, 5237, 6666, 383, 17488, 29914, 5739, 4108, 18, 203, 521, 3962, 2639, 6228, 225, 69, 11566, 526, 3658, 291, 15753, 423, 225, 88, 76, 73, 1967, 31162, 1925, 383, 225, 88, 76, 73, 1495, 292, 8170, 290, 279, 7563, 16759, 423, 42703, 18, 203, 49, 8332, 2531, 25766, 30312, 995, 351, 523, 46073, 16, 12143, 292, 316, 4930, 17488, 29914, 16, 928, 30, 616, 43, 76, 768, 1082, 352, 87, 5994, 318, 225, 69, 1873, 292, 225, 88, 76, 73, 2928, 352, 87, 5612, 291, 522, 2955, 286, 2314, 3054, 2358, 291, 1695, 346, 225, 88, 76, 73, 4370, 290, 3874, 292, 225, 88, 76, 73, 7704, 16, 1027, 1376, 6733, 346, 531, 3176, 291, 1119, 2151, 290, 2879, 10153, 16, 2986, 225, 88, 76, 73, 1750, 292, 225, 88, 76, 73, 6302, 345, 6611, 225, 88, 76, 73, 5072, 359, 761, 359, 225, 88, 76, 73, 4359, 292, 1957, 10912, 2547, 18, 203, 56, 4930, 17488, 29914, 13228, 225, 88, 76, 73, 1145, 19442, 352, 87, 10912, 5072, 290, 14875, 357, 11860, 754, 225, 69, 2874, 2080, 292, 2580, 290, 1864, 2141, 16, 9870, 383, 19026, 1119, 26353, 8320, 5177, 290, 4179, 3983, 18, 409, 7704, 568, 8130, 325, 225, 88, 76, 73, 8605, 290, 16916, 292, 17488, 29914, 352, 87, 5068, 9253, 16, 6317, 1403, 2949, 286, 709, 6947, 290, 22739, 3345, 18, 774, 10964, 31764, 567, 3888, 3849, 2, 0, 13814, 1142, 1621, 291, 16425, 35, 203, 3532, 7099, 292, 34384, 3488, 2318, 286, 4344, 7930, 326, 8233, 999, 2107, 28261, 7331, 203, 15449, 3026, 277, 225, 88, 76, 73, 27112, 10007, 30, 19150, 3494, 633, 16896, 5374, 286, 744, 225, 69, 22844, 291, 225, 69, 37089, 1004, 203, 3113, 325, 1583, 19, 6257, 19, 9493, 431, 1900, 18, 34827, 284, 1727, 22676, 16, 288, 2166, 203, 4181, 8352, 25227, 22015, 203, 42, 362, 3166, 3435, 291, 8638, 43487, 522, 1201, 352, 87, 4839, 396, 19038, 3410, 30, 15886, 8352, 19, 9346, 23007, 23018, 859, 203, 49, 43077, 286, 12167, 17627, 1518, 16, 3294, 16, 1257, 290, 609, 28595, 290, 17627, 3437, 3169, 318, 225, 69, 2219, 3874, 359, 1367, 359, 46772, 3020, 1641, 387, 554, 345, 4819, 1957, 326, 27112, 20209, 633, 12838, 225, 88, 76, 73, 1004, 658, 18, 1099, 225, 88, 76, 73, 1004, 46434, 290, 709, 2401, 3169, 1620, 1801, 9716, 1313, 16, 357, 703, 5661, 479, 292, 443, 286, 949, 225, 69, 941, 1406, 764, 383, 708, 15762, 80, 43487, 3058, 624, 2037, 20823, 291, 225, 88, 76, 73, 2245, 292, 629, 292, 225, 88, 76, 73, 5301, 352, 87, 745, 16065, 10651, 16, 290, 915, 7809, 22156, 290, 8017, 16, 31366, 18, 203, 1266, 5272, 225, 88, 76, 73, 1716, 292, 443, 371, 1191, 286, 659, 286, 12197, 5374, 326, 16868, 14160, 2655, 720, 1708, 18, 6766, 5691, 16, 4593, 43904, 6860, 4191, 270, 16, 14958, 383, 225, 88, 76, 73, 3211, 18921, 7697, 4666, 4339, 396, 4181, 8352, 873, 385, 225, 69, 1731, 4964, 927, 18, 1507, 345, 927, 16, 1260, 1589, 2855, 16, 225, 88, 76, 73, 1102, 203, 6070, 2536, 1244, 377, 16, 2173, 24, 543, 2824, 203, 4696, 442, 30, 203, 16512, 203, 5099, 203, 7412, 203, 15434, 203, 4256, 442, 30, 203, 4256, 13897, 1143, 203, 8678, 203, 5270, 1900, 18, 34827, 284, 1727, 22676, 16, 288, 2166, 203, 45, 1698, 359, 225, 69, 1962, 26045, 6666, 346, 17372, 83, 2361, 7738, 292, 16425, 290, 1708, 3989, 3049, 292, 10561, 295 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 550, 290, 616, 23, 70, 550, 3345, 16, 691, 313, 424, 623, 3686, 292, 225, 88, 76, 73, 31757, 4353, 24805, 16, 314, 1156, 6744, 313, 459, 942, 9925, 5106, 7550, 25447, 5757, 9267, 77, 16, 225, 69, 43881, 14099, 3860, 4842, 811, 225, 88, 76, 73, 6575, 19866, 30625, 3408, 18, 203, 4591, 16, 691, 313, 499, 286, 225, 88, 76, 73, 27173, 3061, 19, 27762, 290, 424, 942, 43182, 18493, 388, 35683, 6472, 16, 544, 427, 2406, 660, 326, 5727, 290, 1142, 688, 225, 88, 76, 73, 42021, 18, 1108, 688, 827, 1995, 318, 18, 14718, 624, 314, 928, 12298, 18, 203, 5818, 313, 29276, 530, 1054, 915, 35, 1287, 24915, 5097, 2165, 504, 652, 5, 1366, 16, 8368, 16, 314, 352, 635, 1357, 658, 286, 225, 88, 76, 73, 17434, 290, 1934, 286, 942, 43182, 290, 35683, 18, 17335, 16, 544, 424, 21181, 530, 629, 40561, 6960, 541, 314, 424, 499, 1745, 524, 479, 292, 803, 3345, 18, 378, 5468, 328, 326, 1962, 1611, 5, 203, 9746, 225, 69, 3465, 203, 25843, 326, 18028, 2030, 1249, 225, 69, 49555, 26040, 292, 479, 4406, 203, 7065, 848, 16, 2730, 12034, 49555, 26040, 30226, 430, 23379, 203, 3113, 225, 69, 3472, 286, 5491, 290, 1427, 629, 4189, 10359, 18, 203, 4139, 371, 629, 203, 63, 6070, 225, 88, 76, 73, 1806, 616, 25843, 326, 1536, 383, 225, 88, 76, 73, 49555, 26040, 292, 479, 4406, 10654, 325, 8816, 2088, 65, 203, 7346, 821, 203, 9746, 225, 69, 3465, 203, 33306, 49555, 26040, 5189, 203, 7065, 685, 16, 2730, 11772, 30226, 430, 23379, 203, 7565, 277, 524, 629, 3068, 49555, 26040, 3345, 203, 9746, 225, 69, 3465, 203, 10954, 326, 30, 203, 16672, 12337, 203, 4667, 9814, 1349, 30, 1558, 1240, 1228, 3285, 30, 225, 88, 76, 73, 8424, 292, 29440, 16, 10331, 290, 42531, 2, 0, 9762, 10482, 16, 19819, 1608, 2485, 1136, 16, 2730, 1608, 409, 2528, 1275, 10780, 10730, 1974, 45148, 1660, 5292, 225, 88, 76, 73, 7769, 2764, 5519, 1167, 22071, 5927, 2195, 553, 18933, 473, 5, 396, 15857, 2195, 1140, 24548, 13494, 203, 1200, 2190, 1167, 318, 6331, 431, 225, 88, 76, 73, 5927, 2195, 1131, 3162, 2528, 1275, 16, 573, 318, 641, 292, 225, 88, 76, 73, 10780, 10730, 1974, 45148, 1250, 18, 14407, 775, 290, 1227, 9924, 371, 3281, 326, 3162, 2388, 952, 544, 6567, 1463, 291, 225, 69, 2692, 292, 14610, 290, 27951, 2230, 18, 2060, 292, 225, 88, 76, 73, 1228, 345, 744, 442, 1167, 1403, 290, 1046, 423, 609, 5003, 318, 345, 357, 3158, 1463, 225, 88, 76, 73, 2516, 286, 2129, 1474, 290, 1263, 2148, 346, 17200, 290, 3173, 932, 717, 18, 1078, 543, 1216, 581, 225, 88, 76, 73, 1167, 16, 2330, 2920, 1036, 18, 203, 3987, 333, 6343, 28604, 303, 3271, 16, 225, 69, 823, 4383, 23383, 5103, 290, 1502, 4429, 16, 459, 339, 225, 88, 76, 73, 724, 5985, 292, 225, 88, 76, 73, 5927, 2195, 553, 18933, 473, 5, 1167, 203, 1109, 521, 2955, 286, 11217, 398, 4697, 5424, 290, 286, 7418, 624, 291, 225, 69, 37009, 836, 291, 225, 69, 5193, 3162, 318, 823, 4189, 650, 313, 352, 264, 5673, 291, 225, 69, 1616, 3570, 16, 19499, 398, 2269, 388, 5736, 225, 69, 1174, 2255, 2067, 18, 1783, 371, 2548, 345, 313, 352, 635, 787, 326, 225, 88, 76, 73, 1716, 292, 398, 969, 16, 290, 5927, 2195, 1140, 24548, 5, 1167, 318, 891, 286, 2147, 1059, 2548, 18, 409, 8458, 292, 4383, 717, 290, 3141, 7403, 291, 9924, 8269, 20029, 225, 88, 76, 73, 2278, 292, 225, 88, 76, 73, 1167, 290, 1767, 357, 4853, 290, 2190, 4314, 4184, 225, 88, 76, 73, 1619, 1466, 11879, 1129, 84, 18240, 295, 16, 6961, 3962, 292, 10780, 10730, 1974, 45148, 18, 203, 521, 1167, 4918, 325, 3275, 2485, 346, 2764, 3162, 5940, 290, 4383, 23383, 5103, 290, 1502, 4429, 1498, 333, 6343, 28604, 303, 3271, 359, 709, 724, 5985, 18, 5927, 2195, 1131, 1095, 286, 1227, 39588, 7126, 326, 609, 7442, 291, 225, 88, 76, 73, 1689, 1924, 359, 761, 18, 203, 521, 5940, 371, 2404, 6273, 7100, 325, 35113, 290, 34801, 423, 591, 30, 564, 286, 3143, 30, 1878, 383, 225, 88, 76, 73, 7769, 1803, 292, 225, 88, 76, 73, 5927, 2195, 1131, 11910, 6465, 18, 409, 2595, 290, 2347, 1803, 16, 573, 385, 6081, 225, 88, 76, 73, 724, 8858, 383, 225, 88, 76, 73, 3275, 4263, 19107, 292, 32260, 20740, 820, 291, 17078, 3722, 16, 318, 2558, 383, 421, 1861, 391, 284, 478, 2815, 9669, 9385, 1260, 69, 16, 28894, 18, 203, 4696, 442, 33856, 16, 31117, 17100, 16, 31117, 15122, 17, 10106, 16, 10780, 10730, 1974, 45148, 3888, 15900, 11345, 2388, 16, 5927, 2195, 1131, 203, 9746, 225, 69, 10313, 48571, 10031, 203, 5956, 8226, 203, 10796, 3797, 10796, 3469, 9729, 484, 3624, 36640, 3817, 326, 225, 88, 76, 73, 8031, 1465, 291, 31052, 203, 7007, 3797, 7007, 10780, 10730, 1974, 45148, 383, 225, 88, 76, 73, 8769, 16190, 31, 225, 88, 76, 73, 6511, 346, 9180, 16381, 4004, 10493, 5029, 3823, 203, 12437, 11588, 16413, 1727, 203, 24094, 203, 7995, 203, 31201, 203, 21952, 203, 9158, 203, 12408, 10780, 10730, 1974, 45148, 2726, 11474, 203, 13311, 398, 2368, 2500, 286, 1085, 10780, 10730, 1974, 45148, 290, 2834, 449, 830, 37192, 2, 0, 14987, 10144, 2307, 3721, 11935, 2202, 1892, 10915, 5656, 17, 44585, 4704, 24856, 346, 361, 1980, 446, 4488, 8243, 3586, 774, 17797, 2307, 16, 8170, 203, 23756, 203, 41, 2847, 39608, 203, 28053, 375, 203, 37, 286, 1343, 203, 11348, 8318, 203, 17574, 557, 12947, 203, 14584, 16, 3953, 16, 954, 3844, 203, 6604, 2030, 38113, 2030, 4791, 11072, 38411, 2030, 36141, 30, 2429, 3843, 16, 2079, 203, 5733, 225, 88, 76, 73, 10148, 18, 1946, 1502, 2945, 16, 17797, 2307, 3721, 11307, 33234, 24275, 3305, 286, 225, 69, 14917, 1133, 225, 88, 76, 73, 2307, 16, 225, 88, 76, 73, 20458, 292, 5739, 16, 290, 225, 88, 76, 73, 361, 1980, 446, 352, 87, 4488, 2307, 3586, 658, 225, 88, 76, 73, 4646, 8306, 292, 1579, 11837, 292, 2171, 12665, 286, 225, 88, 76, 73, 8320, 15321, 26059, 2409, 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, 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, 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 ]
[ 292, 4013, 18, 409, 2804, 290, 409, 20314, 9370, 819, 1124, 2039, 292, 16627, 18, 225, 11248, 35763, 11089, 32132, 526, 11974, 371, 915, 554, 292, 38399, 2409, 526, 1172, 6097, 290, 745, 5716, 6562, 1146, 811, 4013, 1556, 203, 203, 38, 5474, 23, 13168, 19862, 225, 203, 47, 91, 3451, 1724, 94, 504, 652, 2912, 291, 798, 27914, 291, 10497, 286, 522, 24309, 23, 16893, 14838, 18, 19779, 5717, 6045, 13769, 14275, 22142, 21743, 3451, 1724, 94, 290, 225, 88, 76, 73, 24309, 23, 819, 961, 11843, 326, 10037, 15525, 18, 731, 8021, 21743, 3451, 1724, 94, 43781, 225, 69, 689, 7069, 712, 290, 23036, 6, 2038, 290, 689, 5136, 14526, 7035, 286, 2532, 8633, 359, 1866, 6082, 309, 17, 49061, 87, 10317, 21743, 3451, 1724, 94, 40122, 225, 88, 76, 73, 6000, 18, 203, 203, 521, 1715, 385, 9370, 291, 279, 2485, 9513, 18, 1979, 573, 16, 14275, 928, 616, 76, 73, 1411, 3606, 21743, 3451, 1724, 94, 744, 654, 23036, 388, 6417, 1293, 7633, 19127, 1395, 3060, 286, 225, 69, 4734, 6231, 5212, 7484, 431, 409, 3797, 18, 14275, 915, 18810, 225, 88, 76, 73, 22417, 3162, 4977, 16686, 286, 21743, 3451, 1724, 94, 325, 616, 69, 2677, 31723, 3893, 1047, 6064, 596, 3045, 18, 14275, 915, 4953, 385, 12611, 1395, 225, 88, 76, 73, 5212, 928, 18, 203, 203, 6050, 6064, 16, 556, 392, 10661, 6949, 16, 385, 11843, 423, 522, 2067, 290, 1708, 689, 74, 4757, 225, 88, 76, 73, 18918, 292, 4013, 14203, 4886, 16, 47069, 458, 385, 19012, 323, 5981, 286, 15815, 522, 6715, 3668, 6666, 1616, 291, 641, 952, 795, 17, 14806, 7150, 21743, 3451, 1724, 94, 5514, 26451, 1608, 290, 16224, 1608, 1054, 17, 13442, 2883, 13629, 7280, 361, 29147, 1027, 2681, 225, 88, 76, 73, 1220, 17, 263, 17, 1208, 38632, 5717, 6650, 8187, 12192, 6222, 1556, 203, 203, 3591, 568, 203, 5409, 49336, 293, 774, 38399, 2409, 3372, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 24662, 4686, 203, 4387, 2155, 14604, 203, 4387, 4514, 8007, 203, 12404, 23, 717, 203, 39448, 3569, 1925, 7692, 203, 6004, 717, 203, 12175, 11612, 1495, 1925, 292, 14001, 7692, 203, 5013, 423, 12140, 203, 3672, 80, 16901, 2720, 1925, 7692, 203, 5013, 423, 35922, 16901, 13087, 16, 1063, 7185, 203, 31784, 300, 7403, 2, 0, 34101, 25227, 1713, 262, 396, 3640, 2427, 2357, 16, 10547, 13, 318, 279, 1644, 9696, 290, 8128, 423, 10495, 18, 332, 20224, 16, 458, 385, 6413, 286, 225, 88, 76, 73, 10495, 3010, 292, 31618, 775, 291, 2987, 16, 9854, 225, 88, 76, 73, 1627, 526, 11795, 88, 76, 4521, 291, 13602, 18, 731, 1837, 2347, 325, 2494, 1519, 16, 3008, 18, 203, 203, 9035, 969, 290, 2269, 203, 13788, 291, 13602, 325, 2427, 2357, 16, 10547, 16, 25227, 1713, 262, 385, 4895, 291, 34358, 5180, 290, 5801, 13602, 2086, 4791, 10765, 16, 15564, 27671, 2409, 14578, 17, 29285, 1925, 290, 13602, 37378, 4339, 18, 25227, 1713, 262, 7640, 291, 7752, 423, 15152, 3032, 3049, 291, 15055, 16, 9880, 346, 225, 69, 1864, 291, 7676, 31, 383, 15152, 3032, 16, 458, 5583, 225, 88, 76, 73, 5671, 4824, 3505, 18, 731, 2912, 3544, 291, 1491, 7676, 16, 2681, 225, 88, 76, 73, 49440, 3224, 292, 37846, 6472, 378, 18, 11581, 396, 40, 1180, 44944, 13, 290, 10102, 5192, 4266, 806, 5050, 359, 4521, 3962, 326, 37846, 15419, 5180, 396, 40, 1180, 44944, 859, 203, 203, 39, 3880, 1713, 262, 1708, 5801, 225, 88, 76, 73, 1495, 292, 22568, 1925, 292, 3569, 291, 10976, 18, 1979, 1690, 1204, 16, 458, 4415, 286, 13602, 286, 548, 359, 279, 10529, 2361, 526, 13080, 291, 10664, 957, 594, 303, 2307, 18, 203, 203, 21572, 2269, 203, 203, 8766, 4218, 5028, 203, 39, 3880, 1713, 262, 12348, 225, 69, 10666, 326, 225, 88, 76, 73, 10495, 3010, 292, 31618, 775, 291, 2987, 16, 2681, 291, 225, 88, 76, 73, 1220, 17, 23190, 11795, 88, 76, 4521, 396, 25805, 290, 18695, 13602, 859, 3726, 19283, 33331, 478, 18, 29782, 16813, 480, 644, 2891, 1584, 6322, 49440, 16, 3082, 279, 1227, 5457, 291, 225, 88, 76, 73, 11795, 88, 76, 18, 203, 203, 22999, 13360, 10511, 326, 27060, 290, 25227, 1713, 262, 385, 6800, 4353, 225, 88, 76, 73, 7668, 292, 24169, 5122, 18, 4426, 389, 5284, 290, 24169, 389, 1067, 18, 5409, 332, 18, 17976, 270, 290, 8969, 556, 18, 2553, 44, 1081, 18, 557, 225, 88, 76, 73, 9170, 4218, 5028, 2404, 325, 2427, 2116, 16, 25227, 1713, 262, 4265, 2630, 16, 29752, 770, 431, 225, 88, 76, 73, 797, 589, 2394, 590, 6322, 49440, 18, 731, 3846, 1025, 7122, 10362, 4208, 292, 225, 88, 76, 73, 5837, 17, 23792, 1068, 6018, 290, 4722, 1825, 225, 88, 76, 73, 9170, 16807, 16, 25806, 286, 225, 88, 76, 73, 2639, 5028, 18, 203, 95, 96, 1284, 4259, 43746, 7614, 6, 203, 4173, 203, 5, 13870, 203, 5, 58, 7732, 203, 5, 6976, 1455, 203, 5, 8391, 2445, 203, 4173, 203, 4173, 225, 203, 96, 15796, 332, 18, 17976, 270, 396, 2005, 19283, 13, 203, 96, 25, 16, 26, 6011, 203, 96, 3059, 3059, 4299, 18, 20, 9, 203, 96, 3059, 3059, 3059, 59, 263, 203, 4173, 203, 4173, 225, 203, 96, 20178, 556, 18, 2553, 44, 1081, 396, 2005, 19283, 13, 203, 96, 24, 16, 34528, 203, 96, 3059, 3059, 916, 18, 20, 9, 203, 96, 3059, 3059, 3059, 59, 263, 203, 4173, 203, 4173, 225, 203, 96, 34101, 25227, 1713, 262, 203, 96, 24, 16, 6257, 22, 203, 96, 3059, 3059, 1758, 18, 27, 9, 203, 96, 3059, 3059, 3059, 59, 263, 203, 4173, 203, 4173, 225, 203, 96, 16684, 5250, 77, 203, 96, 23, 16, 47625, 225, 203, 96, 3059, 3059, 2173, 18, 27, 9, 203, 96, 3059, 3059, 3059, 29360, 203, 4173, 203, 4173, 225, 203, 96, 23621, 4408, 4202, 275, 203, 96, 22, 16, 1791, 23, 203, 96, 3059, 3059, 2288, 18, 25, 9, 203, 96, 3059, 3059, 3059, 29360, 203, 4173, 203, 4173, 225, 203, 96, 36926, 332, 18, 9113, 31882, 203, 96, 21, 16, 10266, 22, 225, 203, 96, 3059, 3059, 29, 18, 20, 9, 203, 96, 3059, 3059, 3059 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 385, 325, 225, 88, 76, 73, 5696, 18, 409, 294, 94, 518, 2387, 658, 1220, 10114, 318, 4434, 325, 225, 88, 76, 73, 10463, 383, 225, 88, 76, 73, 11078, 1398, 346, 9401, 10581, 827, 660, 318, 568, 279, 8837, 292, 7070, 46590, 959, 292, 23904, 573, 29249, 28747, 290, 32717, 18, 409, 1179, 304, 40565, 14246, 396, 354, 368, 303, 13, 504, 225, 69, 1648, 3363, 292, 225, 88, 76, 73, 319, 16165, 321, 21918, 396, 45472, 3192, 873, 346, 3762, 292, 3815, 17470, 419, 2311, 8165, 325, 1119, 5941, 18, 1238, 371, 798, 3411, 24278, 8650, 1434, 442, 304, 480, 14246, 573, 371, 928, 286, 339, 629, 292, 225, 88, 76, 73, 9379, 291, 36046, 18, 409, 19333, 286, 225, 88, 76, 73, 5696, 292, 225, 88, 76, 73, 1179, 411, 76, 6471, 593, 504, 3762, 292, 10606, 465, 337, 16, 3387, 290, 2660, 8717, 287, 396, 37139, 359, 1119, 3387, 290, 2660, 859, 1238, 318, 568, 279, 1367, 4067, 292, 1343, 5305, 3691, 1828, 22428, 560, 700, 14218, 1256, 274, 16, 225, 88, 76, 73, 7754, 292, 225, 88, 76, 73, 294, 94, 518, 573, 385, 12554, 291, 7601, 517, 1146, 2719, 5649, 292, 17684, 18, 3728, 2194, 325, 225, 88, 76, 73, 23720, 292, 225, 88, 76, 73, 10054, 499, 35450, 14246, 371, 225, 88, 76, 73, 26621, 526, 30479, 290, 11131, 18, 1238, 371, 8842, 1067, 4069, 286, 225, 88, 76, 73, 5938, 76, 73, 2144, 3479, 6151, 396, 22320, 46450, 13, 290, 363, 1135, 270, 411, 3032, 83, 16, 225, 88, 76, 73, 33951, 42182, 292, 36046, 18, 203, 203, 829, 225, 88, 76, 73, 225, 10286, 292, 225, 88, 76, 73, 10524, 8307, 261, 24278, 8650, 292, 45709, 16, 225, 88, 76, 73, 29920, 7569, 4753, 291, 225, 88, 76, 73, 294, 94, 518, 318, 3285, 2190, 18, 601, 318, 225, 69, 9333, 345, 318, 8748, 325, 225, 88, 76, 73, 10946, 291, 225, 88, 76, 73, 10336, 6582, 388, 316, 1485, 533, 19459, 16, 1434, 225, 69, 5238, 225, 291, 225, 88, 76, 73, 1139, 292, 6035, 12624, 346, 6659, 379, 21091, 21426, 18, 409, 225, 14462, 1434, 357, 371, 8748, 225, 291, 1579, 8728, 16, 1482, 357, 12229, 16, 7705, 225, 88, 76, 73, 11472, 2039, 292, 225, 88, 76, 73, 602, 18, 409, 3243, 292, 225, 88, 76, 73, 1619, 292, 2900, 526, 3968, 318, 8748, 359, 225, 69, 1695, 291, 225, 88, 76, 73, 1139, 292, 279, 32924, 583, 291, 10767, 1731, 5321, 31, 38526, 371, 568, 7167, 18, 203, 203, 1987, 203, 203, 18008, 203, 203, 40, 94, 14078, 291, 36046, 203, 45472, 7142, 40972, 291, 36046, 203, 21912, 290, 6495, 291, 364, 355, 1813, 89, 203, 21912, 290, 6495, 3500, 291, 1958, 4457, 203, 41820, 4700, 290, 6495, 3500, 291, 1958, 4457, 203, 2455, 4457, 9011, 291, 6266, 2, 0, 17095, 430, 1365, 24113, 396, 7322, 1148, 16, 12896, 696, 2262, 832, 16, 3384, 13, 385, 279, 1644, 9696, 596, 3220, 291, 225, 88, 76, 73, 4278, 3010, 292, 14776, 423, 10584, 286, 9644, 18, 203, 203, 2177, 3904, 292, 13861, 5026, 325, 2262, 832, 16, 3384, 16, 291, 10649, 16, 4278, 383, 2184, 10528, 18, 203, 203, 1987, 203, 203, 29131, 4686, 203, 10427, 5850, 203, 9807, 292, 225, 88, 76, 73, 4278, 3010, 292, 14776, 203, 25618, 15489, 203, 825, 88, 76, 17, 4577, 1644, 9834, 2, 0, 48331, 581, 357, 396, 71, 919, 84, 39782, 13, 4203, 346, 225, 88, 76, 73, 1644, 288, 27535, 203, 48331, 6420, 601, 16, 16577, 4822, 2353, 431, 27919, 5344, 22527, 203, 48331, 6420, 601, 396, 23622, 873, 4109, 1782, 203, 203, 3591, 568, 203, 42, 736, 881, 6420, 601, 16, 2862, 5679, 12849, 3282, 30373, 225, 203, 6, 5626, 526, 29825, 6420, 601, 2995, 1963, 431, 12964, 411, 4636, 70, 423, 633, 7248, 2353, 393, 2893, 86, 21484, 203, 48331, 357, 396, 20404, 13, 2, 0, 14033, 9247, 1357, 783, 3188, 286, 30, 4327, 225, 69, 34628, 345, 18265, 291, 225, 88, 76, 73, 10584, 1782, 23693, 1703, 203, 8854, 9247, 5900, 16, 279, 2353, 431, 225, 88, 76, 73, 3539, 2804, 332, 7947, 286, 45169, 3012, 9731, 203, 8854, 9247, 1357, 15096, 2, 0, 45, 15890, 21825, 318, 225, 69, 4227, 291, 363, 36095, 16954, 16752, 2228, 3126, 299, 292, 1456, 7697, 4010, 291, 23297, 9879, 292, 9061, 18, 203, 203, 1987, 203, 203, 23658, 291, 1456, 7697, 4010, 2, 0, 56, 700, 16658, 353, 5484, 20581, 3157, 18189, 13, 318, 225, 69, 4497, 25226, 292, 4497, 20085, 29215, 18, 19400, 385, 225, 69, 6324, 7682, 383, 34744, 48619, 2086, 1495, 18, 1236, 318, 745, 10218, 326, 961, 554, 292, 225, 88, 76, 73, 1179, 34167, 698, 4497, 292, 225, 88, 76, 73, 2016, 292, 225, 88, 76, 73, 4913, 34057, 27226, 989, 32976, 8676, 290, 17449, 32808, 29163, 328, 11651, 18, 203, 203, 15731, 203, 56, 700, 385, 3157, 698, 225, 69, 4497, 20085, 1201, 291, 755, 43779, 16, 3395, 33097, 17, 18713, 291, 18189, 16, 346, 633, 33099, 965, 291, 378, 392, 261, 18, 557, 13698, 16, 19400, 7640, 423, 363, 19102, 1495, 16, 827, 780, 13896, 2126, 291, 4913, 383, 225, 88, 76, 73, 3625, 292, 3551, 11910, 290, 17799, 18, 1979, 12806, 16, 19400, 385, 6568, 286, 225, 88, 76, 73, 4497, 5029, 292, 5049, 9448, 18, 557, 12180, 16, 225, 88, 76, 73, 14141, 10724, 385, 5292, 431, 35071, 1343, 282, 518, 16, 19400, 290, 633, 4252, 15541, 707, 1278, 526, 2178, 3208, 292, 2929, 385, 14597, 431, 225, 88, 76, 73, 3537, 28039, 16, 225, 88, 76, 73, 2735, 643, 2632, 286, 225, 88, 76, 73, 1589, 35469, 15681, 264, 10765, 286, 548, 291, 5355, 261, 18, 557, 10687, 16, 45329, 2167, 1586, 1423, 290, 15541, 32272, 1255, 1174, 10688, 225, 88, 76, 73, 19980, 292, 7701, 16, 225, 88, 76, 73, 2735, 643, 38815, 532, 431, 389, 1423, 22336, 15849, 16, 383, 225, 88, 76, 73, 1150, 595, 16, 544, 1698, 286, 2621, 4913, 8049, 18, 19400, 1698, 286, 9969, 2016, 291, 10708, 290, 780, 3989, 225, 88, 76, 73, 3671, 20652, 3693, 291, 10201, 18, 203, 203, 13796, 203, 409, 5695, 292 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 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, 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, 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 ]
[ 33789, 2642, 46588, 11, 55, 5019, 15850, 58, 7299, 28623, 203, 8324, 1148, 16, 2451, 203, 13130, 5240, 16, 225, 88, 76, 73, 24193, 3065, 14651, 292, 6785, 9303, 16, 12814, 709, 4230, 1465, 326, 12593, 709, 2580, 291, 2451, 290, 709, 13335, 326, 2286, 18, 707, 371, 823, 7483, 286, 2957, 345, 225, 88, 76, 73, 1361, 969, 292, 11739, 459, 339, 554, 292, 3866, 5240, 526, 7719, 8591, 326, 2286, 5, 1043, 13428, 4395, 8979, 291, 442, 3141, 1465, 290, 21998, 225, 88, 76, 73, 891, 2516, 326, 3367, 17117, 291, 6762, 326, 2286, 18, 203, 11351, 689, 42, 25662, 7299, 363, 11889, 10079, 18153, 13310, 16000, 411, 11, 44, 4211, 9685, 6, 28071, 12844, 19872, 2180, 29986, 4986, 6934, 31562, 6242, 13145, 361, 2053, 11373, 14691, 6776, 4530, 55, 395, 41218, 5019, 4986, 13884, 36425, 2846, 12113, 20546, 26155, 5019, 14602, 19427, 203, 8324, 1025, 16, 2451, 203, 2091, 225, 88, 76, 73, 1025, 88, 76, 292, 2698, 16, 225, 88, 76, 73, 689, 42, 649, 342, 11193, 2215, 3263, 1844, 304, 11, 76, 34314, 6, 28731, 279, 3367, 1891, 325, 225, 88, 76, 73, 2450, 292, 4180, 5542, 291, 225, 88, 76, 73, 5310, 24477, 6166, 291, 4409, 18, 332, 1403, 3512, 318, 4069, 286, 225, 88, 76, 73, 24472, 292, 4180, 5542, 11, 11739, 290, 709, 2778, 9216, 286, 225, 88, 76, 73, 3948, 11491, 6166, 5, 2, 0, 22365, 225, 69, 1689, 1924, 827, 225, 88, 76, 73, 1149, 292, 1597, 225, 69, 1103, 318, 449, 1736, 527, 286, 225, 88, 76, 73, 19363, 3428, 292, 17420, 303, 666, 25444, 18, 1979, 479, 16, 408, 10159, 286, 1422, 531, 1528, 225, 88, 76, 73, 910, 1634, 2528, 16, 6942, 16, 1518, 16, 290, 35819, 1102, 1656, 449, 427, 624, 894, 346, 225, 88, 76, 73, 910, 1634, 12508, 3414, 359, 761, 35, 203, 3987, 442, 633, 11177, 388, 2078, 11725, 2925, 35, 203, 5626, 352, 87, 11005, 291, 774, 660, 352, 87, 225, 69, 1171, 286, 1425, 18, 203, 2159, 7435, 8864, 11075, 203, 16642, 225, 69, 2219, 318, 2838, 11516, 774, 357, 4687, 3225, 346, 786, 2003, 18, 203, 48259, 290, 9406, 3788, 16, 2762, 504, 652, 708, 7241, 427, 33045, 326, 8233, 292, 806, 1102, 517, 442, 318, 4875, 2823, 18, 203, 7236, 16, 543, 9409, 720, 1801, 371, 6774, 286, 291, 42838, 14238, 1574, 16, 388, 42957, 16, 286, 38142, 1528, 18, 203, 5123, 42, 318, 279, 13331, 23971, 2216, 827, 14238, 1574, 4687, 431, 563, 89, 16, 543, 720, 8984, 16, 1318, 10951, 643, 21354, 346, 225, 88, 76, 73, 723, 292, 42957, 16, 9854, 377, 18, 26, 3159, 292, 225, 88, 76, 73, 832, 18, 20, 2372, 4686, 291, 225, 88, 76, 73, 528, 18, 55, 18, 203, 5698, 225, 88, 76, 73, 1843, 7134, 16, 225, 88, 76, 73, 1319, 292, 42957, 7008, 504, 34499, 13169, 4093, 2723, 10924, 423, 33828, 16, 1318, 291, 5452, 286, 658, 34201, 16, 1318, 1660, 18, 203, 1200, 4225, 504, 652, 19343, 9008, 325, 225, 88, 76, 73, 785, 292, 22995, 3356, 292, 225, 88, 76, 73, 6544, 290, 4179, 9999, 4713, 18, 203, 5698, 225, 88, 76, 73, 1843, 1136, 806, 16, 42957, 3356, 427, 12276, 423, 1175, 825, 16, 1318, 286, 9572, 8, 1537, 16, 1318, 619, 6544, 1027, 9999, 4713, 427, 4179, 423, 452, 9, 286, 6272, 1791, 8159, 203, 5123, 42, 291, 5159, 346, 279, 5302, 19198, 318, 3082, 279, 2516, 326, 225, 88, 76, 73, 1025, 18, 21, 2372, 1778, 291, 225, 88, 76, 73, 1851, 2198, 596, 3979, 423, 36643, 2148, 388, 371, 1248, 1367, 286, 427, 225, 69, 4035, 18, 203, 829, 2616, 16, 658, 1946, 16, 1318, 42957, 7008, 1013, 279, 5302, 19198, 18, 203, 5123, 42, 568, 2743, 9409, 286, 14238, 1140, 798, 8106, 383, 225, 69, 595, 396, 21165, 286, 1136, 325, 3661, 873, 1405, 624, 286, 225, 88, 76, 73, 854, 46644, 4351, 334, 3232, 16, 10305, 225, 69, 3035, 423, 1040, 854, 46644, 4351, 334, 290, 857, 4188, 225, 88, 76, 73, 43187, 326, 19953, 342, 698, 225, 88, 76, 73, 2974, 352, 87, 36111, 18, 203, 45, 2466, 345, 4619, 42957, 1380, 291, 2066, 339, 225, 88, 76, 73, 616, 23650, 550, 290, 745, 7303, 17, 301, 26360, 836, 286, 26404, 18, 203, 43680, 5052, 8500, 203, 1624, 1778, 2554, 286, 2314, 519, 2528, 290, 519, 11559, 16, 798, 1778, 2245, 2413, 7067, 650, 6182, 1597, 1528, 1708, 291, 969, 1364, 21712, 4713, 10275, 431, 797, 17, 29003, 431, 225, 88, 76, 73, 2184, 292, 3303, 18, 203, 3018, 554, 631, 11788, 3125, 1380, 723, 7261, 442, 2163, 30, 225, 88, 76, 73, 2955, 286, 17860, 554, 352, 87, 3485, 8106, 4164, 291, 969, 18, 203, 43680, 18682, 504, 1698, 286, 1620, 225, 69, 836, 326, 1778, 286, 26404, 325, 225, 69, 32213, 292, 519, 2947, 774, 449, 39299, 431, 519, 15835, 18, 203, 521, 1319, 292, 1778, 6524, 286, 17860, 519, 8106, 383, 21712, 17454, 291, 225, 88, 76, 73, 528, 18, 55, 18, 5789, 543, 720, 4266, 15296, 1133, 3384, 290, 2855, 18, 203, 23397, 20771, 262, 16535, 16, 28790, 292, 225, 88, 76, 73, 35141, 34150, 7477, 16, 14451, 325, 442, 4225, 16, 3902, 16, 616, 829, 225, 88, 76, 73, 1358, 452, 806, 16, 543, 1840, 717, 459, 17860, 519, 8106, 290, 1858, 87, 520, 81, 65, 291, 519, 452, 87, 16, 290, 3290, 624, 326, 1708, 787, 18, 1108, 459, 502, 1576, 346, 225, 88, 76, 73, 659, 326, 35141, 12914, 431, 961, 30998, 1159, 16, 290, 8989, 519, 8106, 290, 25385, 423, 225, 88, 76, 73, 3290, 650, 544, 371, 2629, 286, 427, 225, 69, 1103, 2726, 42957, 1076, 203, 11189, 262, 39661, 203, 1371, 313, 644, 225, 88, 76, 73, 2955, 286, 34693, 262, 346, 225, 88, 76, 73, 25444, 292, 398, 4035, 16, 703, 313, 35, 203, 1647, 691, 313, 882, 3349, 225, 69, 40876, 4447, 35, 19918, 357, 1620, 1392, 367, 41624, 352, 286, 7768, 3825, 12508, 10021, 35, 203, 5678, 408, 5476, 9677, 3048, 7504, 19, 18180, 29, 16, 225, 69, 1932, 1013, 286, 616, 28914, 550, 225, 88, 76, 73, 2219, 30146 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 16, 408, 427, 4766, 292, 1324, 6218, 290, 408, 1182, 1846, 2980, 16, 4579, 290, 4201, 12757, 18, 203, 988, 764, 2540, 286, 4243, 313, 5, 5915, 443, 1660, 286, 744, 279, 5994, 18, 203, 28038, 16141, 203, 31127, 5852, 203, 829, 1659, 9096, 9700, 203, 56, 7620, 35650, 9096, 9700, 1424, 443, 6767, 1787, 290, 3762, 423, 2593, 398, 5465, 18, 1108, 723, 443, 346, 11194, 290, 544, 568, 1424, 443, 984, 313, 2172, 292, 6866, 388, 225, 88, 76, 73, 2241, 292, 398, 2898, 18, 203, 14619, 2128, 17, 24415, 203, 17908, 17, 25632, 2825, 2128, 17, 24415, 787, 1490, 14822, 720, 3222, 2128, 17, 24415, 18, 1108, 568, 3896, 864, 17, 11035, 23424, 3762, 345, 371, 225, 69, 5716, 18628, 1932, 18, 203, 16924, 281, 10034, 2128, 17, 24415, 203, 16924, 281, 10034, 2128, 17, 24415, 949, 2874, 3762, 292, 398, 2218, 16379, 18, 1783, 2825, 3762, 371, 1013, 291, 11194, 290, 286, 723, 346, 38851, 2898, 16, 7129, 19953, 11945, 16, 290, 7610, 420, 25770, 18, 203, 39, 5353, 274, 20545, 2128, 17, 24415, 203, 39, 5353, 274, 20545, 2128, 17, 24415, 949, 225, 69, 5437, 3363, 292, 398, 16379, 290, 3151, 19534, 18, 1108, 371, 1013, 286, 723, 291, 11194, 16, 2276, 326, 38851, 2898, 18, 203, 14058, 81, 21763, 430, 24, 40, 203, 2058, 4315, 81, 21763, 430, 24, 40, 21980, 19, 45646, 1056, 8718, 443, 949, 2825, 20194, 16, 946, 8053, 587, 955, 359, 7129, 30549, 16, 290, 13438, 624, 774, 479, 291, 531, 2347, 290, 479, 291, 225, 69, 2013, 5994, 18, 409, 8053, 587, 371, 959, 423, 225, 69, 864, 1604, 16244, 13984, 345, 318, 36553, 286, 2200, 398, 2401, 5851, 18, 203, 3532, 23243, 15597, 203, 6412, 313, 326, 6182, 443, 359, 398, 7129, 2347, 5, 4217, 1263, 1216, 290, 4341, 326, 398, 724, 5994, 18, 203, 49615, 20758, 10367, 203, 37, 7654, 13824, 5563, 203, 26, 3475, 29006, 2409, 18536, 203, 19225, 16, 7539, 16, 428, 26, 44, 685, 55, 21, 203, 6140, 30, 396, 25, 916, 13, 832, 10575, 17, 5805, 13269, 203, 37932, 30, 396, 25, 916, 13, 832, 10575, 17, 1996, 1537, 203, 7412, 30, 203, 20898, 16196, 203, 15092, 29, 30, 564, 321, 774, 1188, 30, 564, 3288, 14, 203, 17077, 29, 30, 564, 321, 774, 1025, 30, 564, 3288, 203, 17261, 27, 30, 1878, 321, 774, 832, 30, 564, 3288, 203, 16585, 28, 30, 564, 321, 774, 848, 30, 564, 3288, 203, 14155, 29, 30, 564, 321, 774, 685, 30, 564, 3288, 4647, 203, 14662, 5663, 619, 1285, 774, 203, 15090, 46627, 774, 203, 14, 29, 30, 564, 321, 774, 1519, 30, 564, 3288, 23381, 6487, 203, 4647, 29, 30, 564, 321, 774, 685, 30, 564, 3288, 23381, 6487, 203, 55, 2, 0, 10020, 225, 69, 12272, 932, 2004, 318, 449, 1142, 1796, 346, 2672, 286, 654, 18830, 18, 601, 4328, 286, 339, 1316, 286, 339, 12680, 346, 3141, 2772, 290, 14764, 3347, 581, 18, 996, 313, 371, 10459, 573, 12885, 286, 427, 225, 88, 76, 73, 910, 723, 2453, 955, 4769, 16, 313, 5396, 1303, 286, 225, 88, 76, 73, 3825, 3527, 18, 203, 3462, 225, 88, 76, 73, 1817, 4454, 286, 225, 88, 76, 73, 8586, 3496, 4174, 291, 1040, 1962, 16, 225, 69, 1319, 292, 894, 17, 5217, 7352, 286, 9320, 18, 409, 1179, 2809, 318, 798, 717, 502, 449, 3678, 442, 723, 4552, 4027, 4203, 346, 2772, 36191, 596, 568, 882, 3796, 624, 423, 4720, 7767, 18, 3783, 443, 499, 754, 225, 88, 76, 73, 2230, 2772, 36191, 291, 1408, 286, 631, 10032, 4602, 424, 2235, 894, 17, 5217, 18, 203, 21, 18, 996, 279, 1682, 2649, 345, 1364, 313, 371, 4009, 225, 69, 3772, 14791, 16, 313, 459, 339, 6824, 286, 6675, 1060, 398, 1344, 932, 16, 313, 2968, 991, 527, 961, 543, 3660, 18, 828, 905, 427, 629, 3879, 292, 761, 17, 29784, 15233, 1095, 4552, 225, 69, 5703, 932, 2149, 541, 313, 424, 4715, 225, 69, 864, 1398, 292, 9622, 9486, 290, 1449, 2304, 1761, 596, 371, 5237, 291, 225, 88, 76, 73, 1962, 18, 332, 2772, 22228, 459, 3796, 291, 4450, 442, 3879, 292, 225, 69, 877, 1095, 290, 2295, 18, 203, 23, 18, 3439, 3196, 313, 744, 783, 2707, 398, 8552, 290, 874, 11175, 16, 313, 1381, 12094, 225, 88, 76, 73, 2707, 290, 744, 442, 745, 4646, 5133, 18, 42530, 22169, 459, 1369, 2978, 346, 225, 69, 6689, 4087, 2609, 326, 23263, 1317, 4555, 1482, 18, 20957, 423, 3082, 225, 88, 76, 73, 1054, 2772, 4411, 16, 279, 25559, 459, 1209, 279, 3511, 325, 357, 6733, 541, 442, 1664, 292, 398, 3802, 40812, 424, 339, 19659, 823, 2801, 18, 203, 23, 18, 2060, 292, 225, 88, 76, 73, 1864, 13835, 345, 748, 225, 69, 2450, 286, 1250, 17855, 459, 339, 894, 17, 5217, 502, 449, 744, 225, 69, 18757, 932, 1095, 18, 332, 16855, 20052, 14083, 459, 3796, 291, 14531, 225, 88, 76, 73, 4646, 1297, 7621, 290, 568, 1369, 225, 69, 27117, 326, 398, 1797, 932, 8552, 1750, 18, 4143, 225, 88, 76, 73, 25559, 459, 949, 698, 6866, 479, 225, 88, 76, 73, 4087, 291, 1408, 286, 4087, 15042, 292, 225, 88, 76, 73, 11756, 3379, 16, 313, 424, 991, 527, 961, 1845, 345, 225, 88, 76, 73, 2972, 6139, 318, 823, 5711, 1434, 624, 18, 203, 24, 18, 8864, 20365, 225, 88, 76, 73, 1957, 932, 15169, 16, 783, 823, 761, 449, 688, 827, 313, 371, 9046, 18, 332, 3084, 25559, 459, 12094, 4887, 225, 88, 76, 73, 15169, 955, 359, 4713, 16, 8526, 2278, 16, 3017, 6031, 16, 9216, 13867, 16, 2674, 18, 286, 723, 313, 286, 346, 24620, 17987, 398, 24332, 2986, 1476, 18, 203, 25, 18, 996, 14764, 4821, 371, 449, 8809, 917, 527, 16, 874, 877, 5374, 783, 5449, 499, 956, 732, 18, 2591, 3879, 292, 877, 2772, 6554, 424, 723, 313, 6166, 1342, 2579, 286, 723, 313, 11522, 225, 88, 76, 73, 14764, 5683, 2505, 326, 442, 17813, 1434, 398, 932, 18, 203, 69, 1162, 18, 1099, 225, 69, 894, 17, 406, 1240, 932, 4372, 16, 313, 1381, 427, 2340, 479, 225, 88, 76, 73, 5107, 1216, 2801, 952, 313 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 427, 644, 2148, 2087, 352, 88, 1940, 313, 459, 517, 357, 1817, 660, 318, 225, 69, 7091, 18, 203, 829, 551, 1185, 346, 9421, 16, 1420, 7113, 371, 554, 292, 225, 88, 76, 73, 1228, 345, 3177, 524, 423, 595, 286, 595, 18, 996, 313, 2207, 442, 17861, 9013, 7391, 314, 5120, 352, 88, 11781, 357, 1248, 940, 952, 691, 225, 88, 76, 73, 1420, 3760, 1071, 10357, 325, 313, 357, 318, 2838, 37914, 1709, 286, 6500, 554, 290, 1142, 17038, 18, 828, 882, 427, 225, 69, 1604, 7276, 326, 3915, 1175, 3475, 286, 1175, 1791, 388, 811, 18, 828, 424, 1745, 524, 670, 609, 717, 427, 928, 431, 10107, 225, 88, 76, 73, 1547, 2130, 18, 203, 16242, 34, 6885, 2894, 1078, 1997, 11315, 11397, 1507, 5806, 5, 41635, 32, 203, 48702, 1666, 2144, 3865, 1591, 409, 23810, 37, 28, 3819, 203, 32052, 30, 332, 1313, 421, 2905, 26, 44, 12124, 361, 5078, 2967, 18, 25, 17, 9529, 7864, 9223, 374, 1906, 38184, 16507, 1175, 11233, 18, 4271, 203, 28352, 1363, 1283, 5047, 30, 34761, 48918, 7070, 49, 28828, 40328, 23743, 1283, 5047, 19698, 1175, 1537, 18, 6280, 203, 29891, 6802, 23362, 203, 6385, 326, 2576, 551, 17861, 9013, 7391, 421, 2728, 19070, 23810, 37, 28, 3819, 396, 10363, 2030, 4995, 13, 28655, 4931, 479, 225, 88, 76, 73, 836, 527, 286, 442, 1570, 290, 314, 3736, 2374, 314, 385, 1316, 286, 723, 313, 325, 398, 3243, 286, 6439, 29374, 5, 1558, 291, 479, 314, 1033, 313, 371, 1792, 225, 69, 2838, 4492, 877, 2101, 326, 225, 88, 76, 73, 2543, 18, 1238, 318, 225, 69, 1308, 26549, 346, 225, 88, 76, 73, 1420, 3760, 517, 12549, 654, 3361, 882, 5449, 427, 225, 88, 76, 73, 1150, 2148, 968, 225, 88, 76, 73, 2441, 18, 314, 703, 715, 1209, 357, 291, 1763, 691, 313, 502, 3340, 442, 554, 18, 203, 2628, 314, 427, 286, 688, 670, 313, 2004, 581, 442, 3738, 6439, 5277, 35, 3514, 313, 1536, 286, 2207, 554, 35, 996, 313, 502, 313, 427, 286, 1424, 530, 688, 5, 996, 313, 427, 654, 2257, 388, 3981, 2330, 1156, 1324, 286, 2859, 530, 554, 12219, 383, 225, 88, 76, 73, 4183, 292, 442, 2111, 18, 17812, 16, 7644, 16, 25028, 290, 3763, 21, 352, 87, 371, 8269, 10479, 359, 761, 5, 203, 6412, 313, 16, 203, 29580, 203, 23293, 292, 9765, 3392, 2097, 20487, 203, 1200, 5056, 10417, 313, 905, 6500, 225, 88, 76, 73, 1420, 3760, 1054, 1576, 18, 314, 4512, 286, 20363, 290, 949, 225, 88, 76, 73, 616, 397, 357, 225, 3594, 8267, 16556, 3473, 357, 550, 2295, 18, 1218, 24681, 357, 882, 3450, 629, 595, 968, 225, 88, 76, 73, 2441, 18, 731, 1071, 499, 325, 286, 1335, 345, 458, 3719, 225, 88, 76, 73, 3361, 290, 357, 385, 225, 69, 877, 2207, 18, 314, 2657, 442, 1787, 291, 541, 313, 882, 821, 225, 88, 76, 73, 3687, 527, 2405, 290, 1797, 18, 731, 1071, 225, 69, 2838, 877, 1616, 18, 996, 313, 703, 2655, 1127, 398, 884, 5277, 313, 424, 1745, 269, 366, 297, 203, 26507, 332, 12416, 35771, 4931, 16, 738, 5277, 11024, 2474, 32583, 828, 20071, 203, 40246, 5277, 4837, 1175, 5297, 17428, 16964, 5277, 16, 17861, 9013, 7391, 421, 2728, 19070, 23810, 37, 28, 3819, 396, 10363, 2030, 4995, 13, 28655, 4931, 16, 17861, 9013, 7391, 421, 2728, 19070, 23810, 37, 28, 3819, 28655, 4931, 16, 16964, 5277, 4837, 1175, 5297, 203, 1537, 3981, 203, 11276, 203, 8079, 377, 16, 2489, 383, 848, 30, 1878, 3242, 203, 6385, 10993, 326, 398, 5069, 290, 5097, 2072, 292, 225, 88, 76, 73, 3260, 19, 14626, 17861, 9013, 7391, 421, 2728, 19070, 23810, 37, 28, 3819, 11065, 18, 738, 3218, 286, 339, 225, 69, 3151, 17, 445, 11065, 16, 517, 314, 424, 821, 345, 225, 88, 76, 73, 26504, 371, 1902, 2838, 8294, 18, 4669, 313, 928, 16, 313, 352, 264, 1142, 1792, 225, 69, 1171, 292, 2278, 650, 313, 1425, 225, 88, 76, 73, 2110, 2543, 18, 314, 703, 9305, 345, 357, 352, 87, 11284, 286, 2207, 225, 88, 76, 73, 5277, 18385, 720, 286, 2207, 1040, 292, 225, 88, 76, 73, 5556, 12991, 290, 21614, 2252, 35, 203, 2852, 203, 29580, 203, 8079, 377, 16, 2489, 383, 848, 30, 7764, 3242, 203, 7250, 3833, 16, 203, 1543, 371, 3825, 442, 5277, 318, 2838, 3527, 325, 691, 313, 371, 1536, 286, 2207, 225, 69, 5277, 706, 225, 88, 76, 73, 13693, 18, 4669, 6456, 314, 459, 1934, 290, 1570, 524, 345, 691, 313, 1127, 398, 884, 5277, 313, 459, 623, 225, 69, 1171, 543, 18404, 326, 398, 9128, 2276, 291, 225, 88, 76, 73, 11920, 619, 1361, 4932, 18, 5750, 551, 2983, 1036, 286, 1127, 398, 884, 6251, 6439, 7815, 326, 811, 1175, 5297, 18, 3783, 530, 688, 691, 313, 427, 654, 2257, 581, 2459, 3687, 5, 203, 6385, 1001, 16, 203, 17, 29580, 203, 2852, 203, 33521, 3745, 203, 8324, 1025, 16, 2616, 383, 384, 30, 6688, 714, 203, 26737, 8015, 10993, 5, 203, 16246, 746, 2094, 16, 4794, 326, 3361, 1823, 15864, 5, 203, 15051, 764, 1248, 940, 698, 2948, 527, 225, 69, 3361, 423, 8419, 16, 541, 691, 313, 424, 16, 314, 703, 664, 286, 821, 291, 554, 292, 398, 5225, 225, 69, 1788, 431, 1788, 723, 325, 708, 286, 1127, 225, 69, 11065, 641, 431, 641, 458, 76, 22700, 22700, 5, 203, 9165, 527, 225, 88, 76, 73, 877, 548, 5161, 69, 5, 203, 2852, 203, 29580, 203, 8324, 1025, 16, 2616, 383, 832, 30, 6643, 714, 203, 11167, 13283, 3745, 16, 203, 45, 6118, 225, 88, 76, 73, 3465, 290, 314, 459, 548, 325, 279, 2983, 2415, 326, 313, 286, 723, 905, 313, 708, 286, 1127, 225, 69, 5277, 326, 2252, 18, 3677, 2251, 5, 314, 644, 5812, 325, 1870, 554, 715, 1919, 352, 88, 688, 691, 2978, 703, 1028, 581, 357, 479, 345, 940, 18, 601, 318, 225, 69, 891, 6195, 286, 339, 1316, 286, 427, 290, 225, 69, 4781, 292, 1189, 1248, 18, 203, 6385, 1001, 16, 203, 17, 29580, 203, 2852, 203, 8323, 203, 8209, 3436, 16, 2616, 383, 685, 30, 2566, 714, 203, 2943, 3198, 318, 1958 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1909, 2407, 25108, 501, 43529, 696, 29516, 11983, 254, 1038, 262, 1969, 644, 279, 5268, 325, 225, 88, 76, 73, 1715, 16, 5782, 431, 4095, 694, 78, 11983, 124, 322, 9171, 2518, 16, 573, 4650, 2209, 12000, 77, 359, 17356, 18, 409, 5268, 8382, 18210, 423, 6301, 32950, 7106, 290, 11132, 16, 290, 6000, 345, 225, 88, 76, 73, 2178, 1715, 385, 225, 69, 984, 4972, 18, 557, 2608, 23418, 16, 3962, 4095, 694, 78, 5373, 455, 86, 94, 2238, 69, 3689, 225, 88, 76, 73, 6890, 9518, 478, 386, 353, 288, 682, 2379, 35352, 1143, 16, 291, 573, 458, 29060, 345, 2209, 12000, 77, 385, 17356, 18, 203, 203, 829, 225, 88, 76, 73, 15361, 426, 16, 1216, 4938, 573, 30646, 799, 225, 88, 76, 73, 27710, 292, 225, 88, 76, 73, 3696, 18, 36990, 385, 8096, 286, 225, 88, 76, 73, 2066, 345, 1343, 72, 94, 293, 31634, 2209, 12000, 77, 644, 1411, 32386, 11959, 16, 290, 345, 458, 385, 6884, 770, 431, 717, 596, 2004, 458, 7763, 282, 286, 225, 88, 76, 73, 30569, 1258, 526, 17186, 5437, 18, 409, 7655, 643, 10987, 286, 4103, 1190, 10459, 16, 290, 1364, 5373, 39151, 453, 5351, 94, 330, 93, 16, 225, 88, 76, 73, 770, 5190, 11265, 16, 644, 5311, 13013, 431, 2271, 17, 12685, 20266, 16, 357, 703, 1875, 13181, 325, 225, 88, 76, 73, 7576, 1056, 286, 449, 1875, 225, 88, 76, 73, 41463, 14840, 286, 4972, 18, 409, 1715, 4819, 14647, 286, 442, 927, 18, 203, 203, 16992, 494, 87, 203, 203, 3591, 568, 203, 7521, 292, 13749, 35433, 431, 1868, 203, 7521, 292, 13749, 35433, 431, 1319, 292, 9494, 203, 203, 829, 225, 88, 76, 73, 2155, 290, 3354, 203, 409, 11086, 17149, 1159, 4738, 12940, 7941, 579, 2303, 349, 4954, 78, 4351, 16, 3055, 431, 316, 719, 39858, 3332, 303, 75, 335, 9171, 2518, 16, 385, 5166, 431, 225, 88, 76, 73, 1715, 203, 409, 10584, 7284, 1782, 689, 11, 25790, 11, 290, 225, 88, 76, 73, 35434, 2995, 5782, 431, 2011, 39858, 15238, 7253, 16, 385, 1653, 325, 225, 88, 76, 73, 1715, 203, 557, 225, 88, 76, 73, 7884, 7284, 19521, 363, 8490, 16, 225, 88, 76, 73, 1179, 2449, 16, 2533, 431, 331, 9325, 578, 38871, 7054, 16, 1723, 345, 357, 385, 522, 3223, 596, 8779, 2209, 12000, 77, 203, 557, 4988, 16, 2228, 47004, 8371, 91, 553, 6435, 18454, 225, 69, 748, 9430, 689, 59, 753, 347, 2995, 573, 11395, 2879, 2840, 581, 225, 88, 76, 73, 8051, 698, 225, 88, 76, 73, 35434, 18, 409, 748, 526, 2411, 16, 374, 19520, 1969, 2615, 4838, 42601, 79, 16, 504, 8985, 522, 6585, 345, 2209, 12000, 77, 385, 17356, 18, 203, 557, 4109, 16, 225, 69, 685, 17, 6061, 1909, 9706, 29782, 8941, 2166, 30, 20129, 6775, 11983, 254, 80, 35352, 39970, 16080, 225, 88, 76, 73, 1715, 203, 409, 3384, 4738, 395, 4954, 40828, 73, 271, 433, 284, 425, 16, 431, 27632, 79, 5344, 1286, 42185, 290, 1104, 4925, 94, 49623, 523, 1286, 16, 504, 10813, 286, 1343, 72, 94, 293, 31634, 2209, 12000, 77, 203, 557, 225, 88, 76, 73, 2855, 1782, 409, 29634, 17865, 16, 5782, 431, 395, 1330, 94, 454, 21275, 1286, 15711, 16, 30521, 20811, 2467, 78, 42967, 86, 94, 43224, 396, 28941, 431, 2011, 39858, 421, 1286, 380, 13, 18840, 345, 458, 2406, 325, 225, 88, 76, 73, 2209, 43746, 1969, 4972, 291, 522, 4957, 203, 12910, 286, 522, 8973, 9518, 16, 4095, 694, 78, 5373, 455, 86, 94, 2238, 69, 2740, 225, 69, 1782, 291, 2489, 16, 9706, 314, 2383, 225, 69, 31900, 203, 2489, 16, 396, 4414, 6175, 1910, 13, 689, 59, 753, 347, 2303, 27085, 12784, 28972, 16832, 2995, 225, 69, 9518, 431, 1890, 94, 353, 1330, 31634, 16907, 24510, 3070, 203, 409, 2153, 7284, 4738, 35522, 24072, 6209, 1515, 25581, 318, 14567, 5166, 431, 225, 88, 76, 73, 2209, 12000, 77, 1715, 203, 203, 1987, 203, 203, 3257, 2477, 1563, 1343, 72, 94, 293, 31634, 2209, 12000, 77, 291, 10624, 203, 203, 32449, 4686, 203, 24879, 25371, 291, 9732, 203, 17518, 25371, 291, 9732, 203, 22058, 5850, 203, 19441, 87, 25371, 291, 9732, 203, 17518, 87, 25371, 291, 9732, 203, 825, 88, 76, 17, 4577, 10624, 21128, 203, 1893, 26327, 717, 423, 47593, 666, 29322, 203, 1893, 26327, 10624, 13749, 35433, 203, 22934, 13749, 35433, 203, 50, 320, 10642, 3790, 203, 5013, 17728, 292, 6958, 431, 9732, 203, 5013, 12328, 431, 225, 88, 76, 73, 10624, 4433, 526, 4321, 203, 5013, 423, 389, 35352, 49840, 69, 46066, 86, 12294, 4197, 203, 31897, 6958, 366, 292, 1528, 203, 31897, 717, 17728, 292, 6958, 2, 0, 3894, 279, 7283, 318, 225, 69, 3222, 19606, 388, 46534, 1055, 292, 7981, 1257, 291, 14053, 7573, 291, 44809, 18, 203, 203, 3894, 279, 7283, 388, 2790, 1294, 7283, 783, 568, 3188, 286, 30, 4327, 2790, 1294, 7283, 16, 8675, 29689, 203, 2790, 1294, 7283, 17, 73, 48116, 317, 7212, 328, 11989, 16, 393, 1239, 9879, 2, 0, 521, 10673, 12065, 8213, 3586, 7202, 6263, 318, 279, 4230, 34569, 2746, 6721, 2533, 1133, 5012, 7126, 291, 10673, 12065, 16, 346, 554, 15132, 423, 1040, 292, 225, 88, 76, 73, 2176, 1682, 6820, 18469, 18, 409, 8934, 292, 225, 88, 76, 73, 10673, 12065, 2746, 9287, 11521, 326, 225, 88, 76, 73, 1558, 17, 28000, 8213, 3586, 7202, 6263, 18, 203, 203, 6355, 203, 203, 521, 10673, 12065, 8213, 3586, 7202, 6263, 318, 279, 4230, 34569, 2746, 6721, 2533, 325, 225, 69, 33800, 4177, 1133, 225, 88, 76, 73, 5012, 2595, 9287, 8934, 292, 225, 88, 76, 73, 11611, 14372, 291, 10673, 12065, 16, 346, 225, 88, 76, 73, 1408, 292, 225, 88, 76, 73, 3023, 6122, 1364, 2286, 18, 10923, 286, 442, 16, 225, 88, 76, 73, 3023, 6122, 6291, 225, 88, 76, 73, 479, 17, 28000, 1909, 383, 225, 88, 76, 73, 5127, 2243, 3232, 18, 409, 1474, 16111, 292, 225, 88, 76, 73, 3525, 371, 13817, 12260, 363, 3560, 272, 292, 6340, 33725, 18, 2776, 225, 69, 16039, 4174, 13659, 2922, 286, 6799, 16, 33742, 1752, 1113, 18, 15239, 1448, 643, 225, 88, 76, 73, 724, 8934, 292, 225 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 853, 4471, 819, 709, 1172, 2361, 292, 225, 88, 76, 73, 2107, 1891, 385, 3179, 18, 203, 203, 26923, 203, 10571, 17114, 4339, 10395, 427, 652, 3179, 291, 543, 720, 1220, 11691, 7442, 431, 709, 3617, 3176, 291, 3303, 3317, 18, 2107, 17114, 10395, 1706, 30, 203, 409, 2361, 292, 225, 88, 76, 73, 2107, 1891, 318, 279, 4230, 7119, 292, 15475, 3617, 5443, 2579, 290, 225, 88, 76, 73, 5658, 3069, 6624, 290, 5395, 1808, 225, 88, 76, 73, 9689, 286, 2500, 624, 18, 203, 34708, 24623, 6374, 1670, 16, 5443, 290, 4087, 7491, 290, 28731, 1415, 290, 4163, 18, 203, 203, 3591, 568, 203, 48, 3489, 395, 18, 5635, 16, 7754, 292, 2107, 17114, 4339, 203, 7161, 12183, 465, 16, 2677, 7042, 292, 2107, 17114, 16, 573, 22953, 8491, 291, 2987, 18, 203, 41702, 4691, 203, 29669, 14664, 203, 7521, 292, 5443, 4057, 203, 10571, 26338, 10264, 21063, 7817, 203, 203, 1987, 203, 203, 3257, 2477, 24405, 203, 29669, 4057, 1653, 291, 4365, 16, 389, 18, 39, 18, 203, 36538, 3178, 291, 10945, 203, 22366, 9011, 291, 4365, 16, 389, 18, 39, 18, 203, 15032, 13615, 1653, 291, 225, 88, 76, 73, 1851, 2198, 203, 20254, 658, 13777, 1990, 1033, 13615, 203, 35370, 6866, 15677, 3074, 203, 35370, 6866, 4057, 2, 0, 18287, 410, 89, 19718, 8963, 318, 225, 69, 4227, 2558, 291, 225, 88, 76, 73, 4574, 396, 6709, 8287, 13, 4521, 292, 2398, 8287, 9879, 16, 9778, 18, 1099, 292, 3008, 16, 357, 644, 225, 69, 3650, 292, 2116, 717, 18, 203, 203, 1987, 203, 203, 23658, 291, 2398, 8287, 4795, 4010, 2, 0, 17677, 19696, 308, 689, 17677, 10131, 6, 23090, 1895, 567, 261, 7592, 1065, 396, 7800, 1188, 16, 25549, 696, 2209, 1188, 16, 18010, 13, 385, 225, 69, 8091, 13291, 16, 596, 11904, 383, 225, 88, 76, 73, 19611, 5652, 7835, 291, 3023, 18, 17372, 291, 409, 33771, 16, 458, 3904, 383, 2184, 8821, 291, 1343, 404, 10573, 1689, 5897, 24963, 291, 9732, 18, 203, 203, 829, 225, 88, 76, 73, 2313, 12696, 16, 7592, 1065, 4265, 8511, 396, 24306, 13, 291, 522, 724, 2806, 3768, 286, 339, 15410, 423, 4174, 18, 225, 731, 568, 4265, 1172, 291, 522, 17249, 3768, 292, 225, 88, 76, 73, 926, 12696, 16, 2158, 2630, 291, 225, 88, 76, 73, 1220, 17, 1010, 3768, 18, 203, 203, 1987, 203, 203, 16741, 48528, 203, 45777, 4686, 203, 33061, 5850, 203, 26378, 4062, 470, 7833, 1039, 203, 17035, 8633, 292, 225, 88, 76, 73, 9711, 203, 33780, 396, 9345, 290, 1962, 13, 383, 225, 88, 76, 73, 19611, 5652, 7835, 203, 17869, 423, 409, 33771, 203, 5013, 423, 14057, 329, 2, 0, 49, 8332, 2531, 9998, 484, 16813, 9069, 396, 3640, 2382, 1519, 16, 17007, 291, 319, 28205, 290, 3904, 325, 2494, 685, 16, 10201, 13, 385, 225, 69, 24196, 666, 6693, 16, 11394, 16, 290, 6432, 18, 203, 203, 10449, 203, 46, 12211, 16813, 2154, 225, 88, 76, 73, 8668, 3962, 292, 225, 88, 76, 73, 3052, 1812, 1428, 294, 11, 2282, 1323, 423, 13499, 286, 15360, 18, 203, 203, 28159, 12088, 50012, 23823, 396, 48318, 19697, 154, 236, 36735, 19697, 38900, 13, 203, 50012, 5164, 88, 509, 82, 299, 396, 48318, 19697, 154, 236, 22250, 117, 153, 120, 36735, 26425, 26871, 19697, 13, 203, 50012, 42119, 1000, 28230, 341, 88, 27146, 299, 396, 48318, 19697, 154, 236, 22250, 110, 29560, 154, 230, 22250, 116, 38900, 25417, 39463, 36735, 19697, 26871, 19697, 13, 203, 50012, 36354, 3487, 1000, 396, 24984, 153, 260, 19697, 154, 236, 22250, 111, 38516, 154, 230, 13, 203, 23823, 23590, 15225, 2571, 396, 29560, 19697, 38900, 225, 24984, 48318, 14726, 26425, 14726, 13, 203, 31317, 480, 273, 523, 396, 14726, 24984, 14726, 225, 19697, 24984, 154, 230, 39463, 27339, 42133, 13, 203, 1099, 80, 310, 3404, 622, 396, 153, 101, 153, 118, 19697, 36735, 153, 115, 26871, 26425, 13, 203, 5198, 1000, 16339, 3166, 396, 42133, 29560, 154, 230, 22250, 108, 26425, 47681, 14726, 26425, 26871, 13, 203, 21687, 446, 4195, 396, 154, 230, 14726, 46765, 29560, 26871, 26871, 25417, 27339, 13, 203, 20181, 15225, 41840, 1736, 7550, 396, 153, 117, 48318, 19697, 27339, 14726, 225, 19697, 46765, 39463, 26871, 19697, 44605, 13, 203, 755, 275, 328, 418, 275, 328, 396, 153, 117, 27339, 26871, 44605, 22250, 117, 27339, 26871, 44605, 13, 203, 23357, 275, 6577, 396, 153, 103, 154, 230, 27339, 26871, 26425, 26871, 13, 203, 3006, 29078, 3186, 396, 29560, 48318, 153, 115, 27339, 19697, 13, 203, 3006, 278, 270, 1513, 278, 270, 396, 29560, 46765, 26425, 36735, 46765, 26425, 13, 203, 17051, 27808, 47845, 23590, 418, 501, 310, 3404, 622, 396, 29560, 19697, 26871, 225, 24984, 14726, 22250, 122, 24984, 25417, 27339, 22250, 117, 14726, 46765, 36735, 153, 115, 26871, 26425, 13, 203, 2433, 45391, 309, 588, 28881, 396, 153, 103, 26425, 225, 154, 230, 14726, 26425, 225, 26425, 153, 118, 26871, 42133, 26871, 13, 203, 2433, 637, 69, 396, 29560, 26425, 47681, 32463, 99, 13, 203, 7871, 321, 1428, 396, 29560, 47681, 24984, 25417, 32463, 99, 13, 203, 430, 3404, 284, 5175, 69, 396, 29560, 153, 115, 25417, 154, 229, 32463, 99, 13, 203, 13249, 3662, 396, 46765, 32463, 120, 24984, 44605, 13, 203, 13249, 3662, 2240, 289, 81, 2439, 396, 46765, 32463, 120, 24984, 44605, 225, 27339, 153, 260, 24984, 32463, 112, 44605, 13, 203, 2813, 269, 13392, 773, 1513, 3081, 275, 35314, 396, 46765, 26871, 22250, 122, 26871, 27339, 26425, 36735, 42133, 38516, 27339, 26871, 44605, 13, 203, 2813, 47088, 6687, 425, 79, 309, 284, 396, 46765, 26871, 22250, 122, 26871, 27339, 26425, 154, 230, 225, 26425, 14726, 25417, 13, 203, 6535, 1636, 225, 11733, 490, 24677, 76, 7989, 76, 396, 154, 229, 19697, 42133, 26871, 36735, 19697, 26871, 22250, 111, 153, 113, 26871, 39463, 26871, 38900, 13, 203, 421, 593, 2166, 418, 1530, 69, 396, 153, 123, 26425, 26871, 22250, 117, 27339, 26871, 44605, 13, 203, 421, 593, 2166, 21774, 359, 18838, 396, 153, 123, 26425, 26871, 225, 26871, 14726, 22250, 122, 153, 118, 46765, 27339, 25417, 13, 203, 35120, 2192, 268, 78, 2192, 396, 153, 260, 153, 110, 26871, 26425, 14726, 225, 27339, 153, 110, 26871, 26425, 14726, 13, 203 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 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 ]
[ 286, 4741, 658, 225, 88, 76, 73, 15542, 18, 203, 829, 554, 2590, 30382, 9425, 16, 18363, 318, 34025, 15542, 3902, 689, 17672, 6797, 16, 14628, 16, 22576, 19642, 1605, 780, 9609, 431, 12567, 5635, 290, 8215, 308, 780, 29136, 1723, 689, 17655, 5256, 290, 554, 16, 2769, 5256, 290, 797, 16, 2769, 5256, 290, 1220, 16, 2769, 5256, 290, 1560, 19642, 4121, 544, 2164, 524, 292, 7498, 780, 7465, 286, 689, 38524, 554, 16, 7191, 797, 16, 7191, 1220, 19642, 203, 12158, 1608, 47691, 203, 8830, 7882, 5951, 18, 8607, 675, 30, 409, 33997, 6754, 318, 14557, 18087, 650, 13585, 9819, 431, 18, 689, 30802, 16, 3815, 16, 6196, 4110, 35520, 17, 30010, 16, 554, 8620, 18, 1594, 985, 2466, 314, 979, 2769, 5455, 1556, 203, 19897, 24425, 30, 409, 15530, 8918, 30, 16365, 395, 467, 373, 30021, 286, 3991, 225, 88, 76, 73, 5450, 438, 4727, 2938, 325, 225, 88, 76, 73, 3711, 292, 2769, 691, 458, 2087, 985, 3402, 45966, 225, 88, 76, 73, 41805, 292, 225, 88, 76, 73, 8840, 292, 40709, 18, 409, 39063, 3177, 689, 582, 16, 797, 16, 6196, 16, 646, 19642, 601, 526, 770, 650, 395, 467, 373, 22684, 225, 88, 76, 73, 5835, 291, 225, 88, 76, 73, 4273, 291, 2290, 292, 225, 88, 76, 73, 20443, 345, 6138, 524, 286, 339, 225, 88, 76, 73, 11514, 286, 225, 88, 76, 73, 8840, 345, 458, 9373, 225, 88, 76, 73, 4960, 968, 18, 203, 521, 31650, 3949, 396, 24004, 4922, 458, 2087, 985, 3578, 13008, 225, 69, 1162, 4074, 16, 517, 225, 88, 76, 73, 1664, 318, 225, 88, 76, 73, 1150, 650, 319, 580, 11372, 14391, 286, 12108, 346, 47225, 75, 487, 981, 9990, 950, 431, 8899, 522, 3326, 290, 15543, 286, 2769, 18, 2586, 551, 12528, 18, 393, 1052, 2436, 31378, 21165, 16, 6196, 16, 2769, 7137, 203, 12158, 1608, 7088, 17, 27984, 203, 37, 15229, 423, 225, 88, 76, 73, 39418, 21728, 7329, 3648, 16, 1154, 225, 69, 6683, 9884, 431, 9198, 34444, 16, 225, 88, 76, 73, 3525, 2449, 504, 286, 1880, 554, 292, 522, 524, 17, 1586, 17, 49905, 1673, 286, 689, 9678, 290, 1422, 530, 7191, 2656, 2776, 225, 88, 76, 73, 9198, 318, 21527, 431, 1334, 2935, 16, 21728, 7329, 12470, 49266, 1723, 689, 2702, 452, 2995, 874, 1155, 225, 88, 76, 73, 2879, 770, 4642, 581, 554, 290, 225, 69, 2333, 4336, 5217, 18, 203, 1356, 46570, 291, 8009, 21683, 1154, 225, 88, 76, 73, 2271, 17, 41233, 1603, 39063, 18, 203, 27331, 30, 20540, 18, 17278, 18, 11554, 18, 203, 12658, 306, 768, 30, 11554, 12740, 374, 17, 10475, 4527, 286, 4266, 35, 203, 27331, 30, 2864, 29276, 5, 203, 2702, 596, 424, 4926, 2938, 11835, 423, 46904, 16400, 290, 225, 88, 76, 73, 8600, 1233, 552, 30, 203, 17243, 11835, 30, 2060, 16, 797, 16, 11248, 5, 203, 4075, 21119, 670, 526, 419, 8466, 30, 7870, 16, 24393, 5, 203, 17243, 11835, 30, 7870, 5, 203, 829, 4023, 33551, 16, 9640, 14833, 225, 69, 49067, 3648, 1740, 689, 12659, 1067, 346, 393, 1886, 766, 35772, 6, 573, 2134, 225, 69, 4573, 827, 14582, 16, 225, 88, 76, 73, 1179, 2449, 16, 8827, 706, 225, 69, 6552, 49067, 30, 203, 36868, 30, 17374, 18, 314, 1880, 21774, 670, 314, 2383, 11416, 1422, 313, 16, 7915, 1073, 18, 203, 63, 36868, 19171, 524, 522, 5420, 2256, 7422, 65, 203, 36868, 30, 314, 2383, 11416, 1422, 313, 286, 225, 88, 76, 73, 3711, 292, 2769, 286, 623, 398, 17491, 16, 305, 5284, 16, 786, 17, 13027, 851, 1896, 706, 551, 2646, 16, 981, 314, 5665, 398, 37437, 1444, 69, 1083, 5, 203, 20058, 1073, 30, 1558, 1054, 16, 14582, 16, 314, 2383, 9905, 5, 314, 2383, 1191, 5, 203, 36868, 30, 2060, 1143, 797, 1143, 2769, 5, 203, 63, 20058, 1073, 3464, 10296, 5540, 27958, 359, 14582, 23582, 563, 9909, 491, 65, 203, 36868, 30, 6366, 225, 88, 76, 73, 1626, 16, 21774, 44269, 5684, 5, 203, 11677, 30, 203, 14584, 17, 27984, 3282, 203, 37, 15229, 291, 279, 5268, 292, 3537, 389, 22454, 16, 650, 395, 13170, 318, 2586, 286, 30535, 279, 6053, 326, 225, 69, 2651, 33298, 3836, 2537, 16, 689, 1647, 1071, 225, 88, 76, 73, 1731, 11670, 1880, 443, 581, 608, 287, 1239, 6144, 774, 3851, 357, 526, 2017, 345, 458, 504, 786, 2251, 670, 225, 69, 1731, 11670, 388, 225, 69, 608, 287, 284, 318, 18, 411, 1896, 16013, 225, 88, 76, 73, 1628, 290, 395, 13170, 3856, 1062, 1901, 286, 37616, 77, 82, 10088, 16, 442, 21831, 1721, 6966, 225, 88, 76, 73, 2537, 292, 670, 225, 88, 76, 73, 1731, 11670, 6180, 443, 581, 608, 287, 1239, 1556, 203, 4331, 389, 31591, 1071, 442, 431, 225, 88, 76, 73, 1184, 291, 225, 69, 9300, 377, 5268, 292, 4682, 5525, 18, 731, 526, 1870, 4336, 17, 5217, 291, 522, 8339, 16, 15543, 811, 522, 5295, 16, 290, 650, 522, 3564, 16013, 225, 88, 76, 73, 1628, 458, 32307, 3177, 423, 2013, 27574, 286, 7630, 291, 225, 88, 76, 73, 15361, 426, 18, 203, 829, 225, 88, 76, 73, 4790, 19341, 30, 49291, 5268, 689, 485, 6124, 11515, 6, 4838, 5438, 318, 1870, 4336, 17, 5217, 291, 522, 21018, 3035, 396, 7124, 1806, 859, 731, 4918, 5069, 346, 689, 3134, 16, 797, 16, 1220, 2995, 517, 857, 2160, 303, 2436, 1822, 291, 346, 225, 69, 6114, 18, 1979, 225, 69, 4349, 17367, 458, 20696, 286, 689, 25782, 1724, 93, 17, 21165, 16, 35520, 17, 30010, 16, 554, 4110, 1556, 203, 11780, 203, 1624, 1378, 1953, 16, 225, 88, 76, 73, 1963, 23021, 431, 3990, 20380, 504, 442, 3274, 291, 225, 88, 76, 73, 10410, 30, 689, 4398, 314, 1317, 2037, 965, 16, 15543, 4807, 5988, 18, 2060, 16, 797, 16, 13008, 225, 69, 1162, 18, 9041, 624, 527, 326, 36577, 1556, 203, 41043, 4814, 26169, 203, 829, 689, 11780, 286, 1832, 430, 1239, 6, 423, 11269, 291, 225, 88, 76, 73, 4780, 4995, 3010, 16, 453, 9064, 359, 225, 88, 76, 73, 2804, 30412, 18376, 225, 88, 76, 73, 689, 11319, 16, 707, 1594, 3844, 6, 1963, 346, 689, 18205, 5, 332, 17 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1041, 7489, 225, 88, 76, 73, 12592, 4585, 352, 87, 1118, 292, 225, 88, 76, 73, 3260, 25731, 318, 32855, 431, 225, 88, 76, 73, 1851, 2198, 8563, 29361, 6653, 9430, 16, 616, 36181, 1665, 16, 8087, 290, 19583, 38931, 550, 2404, 325, 2262, 2357, 16, 11153, 18, 3024, 7175, 7073, 6208, 3571, 43397, 79, 3149, 34068, 345, 225, 88, 76, 73, 3260, 19169, 4771, 385, 1249, 225, 88, 76, 73, 1324, 7324, 1167, 359, 225, 69, 7706, 286, 777, 432, 31382, 18480, 2532, 2845, 286, 6719, 2660, 4060, 7106, 16, 345, 225, 88, 76, 73, 3260, 25731, 644, 17804, 5311, 647, 2822, 383, 225, 69, 6379, 1250, 573, 6449, 286, 1118, 225, 88, 76, 73, 1324, 7324, 1167, 16, 290, 345, 616, 9155, 1592, 1102, 695, 2741, 345, 745, 16, 691, 449, 479, 16, 292, 225, 88, 76, 73, 1518, 345, 318, 3220, 286, 225, 88, 76, 73, 1528, 383, 225, 88, 76, 73, 10012, 16, 290, 11437, 544, 427, 803, 46958, 16, 318, 1902, 14095, 388, 11289, 423, 19802, 359, 225, 69, 1873, 292, 400, 5365, 762, 4471, 1076, 63, 5777, 65, 43397, 79, 3149, 16, 14639, 1376, 291, 5960, 346, 225, 88, 76, 73, 19410, 352, 87, 5510, 18032, 291, 28382, 16, 11866, 553, 438, 290, 12033, 292, 378, 3447, 699, 352, 42964, 16, 34068, 286, 1041, 7489, 225, 88, 76, 73, 25731, 16, 290, 225, 88, 76, 73, 29948, 573, 5350, 624, 18, 32441, 16, 5143, 7238, 16, 14867, 7383, 296, 635, 261, 34068, 345, 458, 644, 2524, 225, 69, 4500, 292, 225, 88, 76, 73, 21641, 1184, 423, 9464, 3296, 3022, 4414, 346, 225, 88, 76, 73, 1474, 2777, 16, 2262, 2357, 88, 76, 18, 203, 30005, 38505, 16, 20095, 2578, 522, 5931, 291, 225, 88, 76, 73, 2511, 862, 16, 11324, 286, 225, 88, 76, 73, 19219, 290, 21901, 225, 88, 76, 73, 1324, 7324, 1167, 290, 225, 88, 76, 73, 3260, 19169, 4771, 1154, 225, 69, 2274, 4975, 325, 556, 17866, 60, 21456, 49184, 3888, 325, 2262, 2399, 16, 11153, 16, 225, 88, 76, 73, 927, 819, 225, 88, 76, 73, 8563, 29361, 18, 29005, 19632, 581, 225, 88, 76, 73, 2094, 16, 15785, 16, 290, 20547, 292, 225, 88, 76, 73, 1184, 16, 458, 928, 16, 616, 88, 76, 73, 21641, 1184, 1071, 449, 5238, 346, 531, 1185, 346, 1592, 292, 225, 88, 76, 73, 3260, 19169, 4771, 1076, 63, 5932, 65, 8781, 3788, 16, 38505, 16224, 225, 88, 76, 73, 548, 292, 225, 88, 76, 73, 1840, 3260, 19169, 4771, 1592, 596, 7553, 1846, 1040, 2980, 286, 5173, 7324, 326, 225, 88, 76, 73, 31253, 17, 15425, 286, 554, 4110, 1528, 3220, 1040, 927, 18, 38505, 21901, 225, 88, 76, 73, 4933, 292, 225, 88, 76, 73, 3260, 19169, 4771, 291, 225, 88, 76, 73, 6147, 359, 29308, 16, 359, 458, 644, 7265, 15262, 519, 486, 17, 3330, 274, 342, 292, 225, 69, 616, 10573, 4948, 394, 989, 26117, 550, 3343, 325, 37467, 3568, 14261, 1791, 65, 203, 10608, 9139, 286, 1041, 7489, 225, 88, 76, 73, 1167, 16, 357, 3838, 754, 225, 88, 76, 73, 4618, 290, 698, 225, 88, 76, 73, 2779, 18, 557, 225, 69, 2274, 5212, 2740, 291, 1118, 292, 225, 88, 76, 73, 7324, 1167, 16, 38505, 1740, 2949, 286, 797, 6986, 426, 18, 3440, 16, 1027, 2151, 6861, 643, 17375, 17245, 291, 3024, 7175, 16, 225, 88, 76, 73, 3260, 19169, 4771, 346, 1504, 1118, 16, 385, 11413, 4093, 554, 4110, 1528, 1040, 2980, 18, 1108, 644, 10839, 225, 69, 2717, 345, 1830, 6861, 643, 1146, 23759, 286, 4773, 18, 1009, 1361, 16, 2453, 225, 88, 76, 73, 25096, 3503, 16, 616, 80, 1615, 272, 290, 24460, 427, 652, 3220, 291, 345, 6582, 286, 6982, 290, 5224, 26225, 291, 225, 88, 76, 73, 1504, 550, 290, 616, 35439, 981, 644, 225, 88, 76, 73, 4791, 3308, 3625, 283, 9918, 698, 225, 88, 76, 73, 39273, 16, 9546, 225, 88, 76, 73, 17604, 16, 388, 7548, 225, 88, 76, 73, 3768, 292, 225, 88, 76, 73, 24402, 1076, 1218, 16, 952, 442, 385, 225, 69, 864, 5437, 3260, 15807, 1167, 16, 6861, 423, 225, 88, 76, 73, 4791, 3308, 3625, 1882, 286, 20327, 4797, 290, 2359, 8730, 18, 38505, 3972, 16, 616, 87, 22636, 19169, 46958, 643, 225, 69, 4337, 286, 1489, 1076, 63, 7933, 65, 557, 225, 69, 1240, 836, 16, 38505, 8982, 225, 88, 76, 73, 31064, 290, 15567, 3731, 431, 33973, 18, 203, 37, 1162, 1477, 1708, 16, 225, 69, 5212, 3055, 431, 38505, 385, 6291, 698, 225, 88, 76, 73, 29206, 12430, 431, 225, 88, 76, 73, 47575, 27377, 23918, 292, 3470, 18, 38505, 16, 616, 16014, 323, 45359, 286, 225, 88, 76, 73, 15042, 291, 225, 88, 76, 73, 5212, 959, 431, 23982, 3571, 43397, 79, 3149, 1395, 290, 11601, 43397, 79, 3149, 292, 42564, 326, 225, 88, 76, 73, 12592, 17226, 352, 10515, 346, 225, 88, 76, 73, 3260, 19169, 4771, 14261, 7764, 65, 38505, 7633, 11582, 8607, 12396, 16, 43397, 79, 3149, 290, 225, 88, 76, 73, 7073, 22319, 3693, 346, 20985, 952, 292, 12592, 4585, 352, 87, 548, 346, 225, 88, 76, 73, 3260, 1504, 18, 731, 34609, 345, 1592, 292, 225, 88, 76, 73, 7073, 22319, 3693, 14847, 33017, 1216, 286, 24488, 13146, 1306, 270, 2389, 286, 1353, 3946, 325, 950, 290, 225, 88, 76, 73, 9462, 18, 203, 38, 21435, 16, 359, 225, 88, 76, 73, 1502, 2245, 292, 225, 88, 76, 73, 12592, 4585, 16, 385, 1112, 346, 22279, 423, 225, 88, 76, 73, 1502, 16, 596, 18017, 522, 23404, 18, 13146, 1306, 270, 8136, 10849, 3946, 286, 21368, 420, 950, 517, 10973, 286, 502, 541, 18, 1099, 225, 88, 76, 73, 3224, 286, 1041, 7489, 225, 88, 76, 73, 3260, 19169, 4771, 5789, 543, 3044, 290, 1502, 18285, 3716, 16, 38505, 2524, 7566, 292, 1118, 423, 26225, 1060, 225, 88, 76, 73, 4407, 16, 616, 45, 714, 7123, 313, 7792, 524, 581, 225, 88, 76, 73, 3260, 25731, 290, 21901, 624, 18, 1366, 798, 717, 291, 442, 1004, 371, 36110, 290, 427, 286, 3979, 326, 1228, 544, 371, 449, 11959, 292, 1076, 63, 7988, 65, 38505, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 10995, 546, 6268, 345, 522, 11665, 3464, 524, 292, 1945, 770, 1912, 16, 290, 345, 383, 225, 69, 14313, 2237, 47871, 650, 458, 10417, 225, 69, 18949, 2460, 318, 1870, 5516, 286, 554, 292, 225, 88, 76, 73, 1528, 18, 203, 3018, 522, 28312, 9382, 16, 522, 17415, 286, 6552, 8931, 16, 290, 522, 3984, 514, 36762, 4284, 352, 88, 1796, 286, 5942, 225, 88, 76, 73, 9310, 292, 442, 1782, 18, 2776, 314, 943, 352, 88, 813, 286, 499, 359, 1856, 359, 286, 1335, 345, 442, 318, 225, 69, 48587, 1054, 17, 13442, 23949, 1782, 388, 225, 69, 13707, 3897, 326, 225, 88, 76, 73, 4223, 16, 660, 318, 1334, 581, 17082, 352, 87, 4674, 11365, 290, 225, 88, 76, 73, 2230, 291, 573, 803, 11365, 371, 12988, 698, 28312, 7287, 345, 744, 950, 12684, 286, 225, 88, 76, 73, 1644, 1502, 290, 2047, 326, 225, 88, 76, 73, 12234, 4539, 225, 88, 76, 73, 1782, 504, 8828, 18, 203, 39912, 504, 42914, 423, 225, 69, 29903, 23638, 345, 3152, 5530, 5118, 325, 225, 88, 76, 73, 4399, 292, 1201, 696, 290, 431, 7898, 1868, 696, 479, 811, 225, 88, 76, 73, 2029, 746, 3511, 292, 225, 69, 26995, 277, 2203, 18, 1728, 3223, 39546, 1840, 17082, 650, 225, 88, 76, 73, 1136, 602, 1367, 1822, 286, 225, 88, 76, 73, 7128, 292, 522, 6711, 3845, 290, 589, 43534, 775, 291, 950, 225, 88, 76, 73, 2251, 345, 291, 225, 69, 1004, 827, 45961, 32377, 19251, 325, 37722, 3310, 14535, 16, 225, 88, 76, 73, 15634, 292, 225, 88, 76, 73, 14535, 19859, 371, 11109, 16, 290, 14428, 18, 1238, 352, 87, 786, 2537, 345, 17082, 2569, 325, 225, 88, 76, 73, 2450, 292, 225, 88, 76, 73, 14535, 19859, 16, 225, 69, 563, 596, 318, 11530, 286, 3630, 225, 88, 76, 73, 7733, 650, 458, 8827, 225, 88, 76, 73, 4239, 5987, 292, 225, 88, 76, 73, 1727, 25710, 291, 14571, 291, 6890, 290, 596, 7842, 675, 522, 14200, 650, 225, 88, 76, 73, 18736, 2377, 325, 1260, 19, 2288, 18, 1009, 660, 352, 87, 786, 2537, 291, 522, 1763, 345, 225, 88, 76, 73, 1727, 318, 225, 88, 76, 73, 14535, 19859, 292, 225, 88, 76, 73, 1004, 18, 203, 4075, 1846, 777, 432, 343, 4303, 698, 4960, 3354, 23026, 950, 286, 339, 225, 88, 76, 73, 35721, 16, 23323, 14840, 16634, 1201, 290, 1868, 18, 1728, 17898, 326, 225, 88, 76, 73, 10881, 292, 12319, 17756, 1379, 272, 318, 286, 3561, 624, 291, 670, 458, 4953, 910, 30, 708, 286, 13630, 3991, 225, 69, 864, 17, 38870, 18346, 18, 1979, 17645, 706, 225, 69, 1319, 292, 11341, 325, 3161, 16, 554, 292, 225, 88, 76, 73, 1673, 19849, 3448, 1723, 345, 458, 352, 87, 1427, 522, 563, 2831, 785, 18, 409, 3551, 3341, 3648, 318, 225, 88, 76, 73, 3297, 291, 225, 69, 941, 1695, 292, 531, 2763, 24083, 345, 34184, 29222, 754, 6991, 18, 203, 39912, 318, 12039, 874, 1535, 225, 88, 76, 73, 991, 345, 660, 318, 10119, 291, 225, 88, 76, 73, 1004, 290, 225, 88, 76, 73, 1727, 14535, 19859, 1381, 39355, 357, 18, 738, 47817, 25190, 5983, 326, 522, 571, 368, 900, 3401, 6585, 345, 225, 88, 76, 73, 22989, 12732, 371, 4289, 1079, 286, 339, 25236, 2741, 18, 395, 3133, 1393, 1455, 292, 591, 88, 76, 3503, 2290, 5199, 4063, 291, 519, 3347, 581, 11621, 17, 32095, 16, 17082, 3093, 286, 2466, 345, 225, 88, 76, 73, 770, 877, 22989, 318, 225, 69, 3830, 22989, 16, 874, 691, 345, 877, 9662, 318, 225, 69, 1103, 346, 225, 69, 1346, 7422, 18, 28609, 17082, 318, 449, 225, 88, 76, 73, 770, 15783, 286, 16399, 286, 442, 6585, 1056, 18, 1238, 352, 87, 786, 1628, 326, 47649, 940, 1490, 15460, 581, 388, 10878, 326, 225, 88, 76, 73, 4168, 291, 442, 563, 352, 87, 7733, 18, 203, 17480, 3341, 290, 522, 5772, 84, 674, 769, 262, 943, 352, 88, 5061, 2939, 423, 17082, 352, 87, 6585, 16, 290, 4722, 442, 16373, 691, 449, 8499, 292, 1644, 46519, 7922, 225, 69, 37301, 1128, 291, 225, 88, 76, 73, 9684, 292, 798, 7218, 596, 1246, 519, 11131, 16, 2466, 291, 1644, 8071, 1486, 16, 290, 6497, 12039, 345, 225, 69, 36872, 955, 359, 22989, 385, 1146, 225, 88, 76, 73, 1054, 909, 286, 502, 18, 601, 352, 87, 1709, 286, 18828, 286, 225, 88, 76, 73, 10088, 345, 345, 225, 88, 76, 73, 9662, 293, 371, 4289, 1079, 2123, 3551, 3341, 352, 87, 4555, 292, 22989, 7907, 291, 225, 88, 76, 73, 2391, 7440, 30, 225, 88, 76, 73, 2974, 596, 2988, 706, 225, 88, 76, 73, 48859, 286, 633, 3198, 31, 225, 88, 76, 73, 7645, 545, 1357, 292, 5529, 596, 17424, 17082, 352, 87, 4411, 286, 2037, 326, 5368, 770, 286, 427, 17082, 2957, 279, 6728, 22039, 811, 225, 88, 76, 73, 3602, 9468, 31, 616, 521, 44409, 1395, 225, 69, 4916, 29918, 1313, 326, 995, 17, 25107, 80, 7427, 4214, 8388, 292, 8730, 318, 225, 69, 16070, 290, 4214, 8957, 318, 5162, 346, 2219, 1657, 2994, 18, 203, 1624, 10245, 58, 1655, 328, 32148, 7844, 32321, 6875, 541, 345, 458, 385, 225, 69, 543, 10657, 50228, 286, 2938, 720, 2084, 5187, 16, 3551, 3341, 871, 590, 225, 69, 11886, 8959, 1010, 326, 225, 88, 76, 73, 10517, 37660, 383, 225, 88, 76, 73, 8503, 18933, 1021, 2811, 2026, 18, 17082, 352, 87, 309, 353, 9419, 318, 359, 7842, 225, 69, 21955, 359, 458, 318, 16, 517, 4223, 5464, 4953, 1308, 581, 950, 609, 720, 458, 1912, 1825, 279, 9399, 3565, 8189, 326, 15922, 291, 7471, 4174, 18, 42798, 458, 352, 87, 449, 541, 940, 47518, 359, 3063, 16, 35803, 1968, 18, 601, 352, 87, 1709, 286, 1335, 345, 874, 225, 69, 15382, 1750, 292, 522, 2449, 318, 3785, 225, 88, 76, 73, 8991, 292, 442, 3648, 18, 1009, 345, 10488, 905, 449, 339, 2404, 286, 6979, 4728, 326, 10824, 291, 5939, 6403, 18, 1218, 225, 88, 76, 73, 4933, 292, 541, 798, 554, 17, 18148, 616, 38378, 550, 2884, 318, 935, 43180, 290, 6887, 18, 39280, 952, 357, 42749, 225, 88, 76, 73, 10605, 292 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3498, 806, 1367, 650, 314, 1981, 286, 2403, 225, 88, 76, 73, 563, 314, 2004, 385, 551, 3223, 290, 458, 2705, 530, 314, 3461, 352, 88, 18, 1832, 1908, 290, 950, 22992, 650, 314, 385, 384, 806, 1367, 290, 314, 427, 786, 7028, 292, 1801, 2354, 346, 950, 18, 203, 45, 2897, 950, 1912, 650, 314, 385, 291, 225, 88, 76, 73, 5837, 6445, 383, 225, 69, 13090, 290, 857, 1001, 650, 314, 385, 291, 225, 88, 76, 73, 14157, 6445, 383, 1378, 1201, 2260, 352, 87, 13090, 18, 203, 521, 1358, 595, 314, 2897, 950, 385, 650, 314, 385, 3498, 806, 1367, 16, 290, 345, 352, 87, 650, 314, 1100, 524, 458, 3461, 352, 88, 551, 3223, 18, 203, 2943, 1908, 1230, 928, 1228, 664, 313, 352, 264, 449, 5071, 2425, 346, 950, 16, 339, 7123, 458, 352, 87, 449, 291, 398, 969, 2674, 18, 1558, 1509, 780, 385, 10962, 378, 8186, 4130, 42, 18, 1979, 314, 1100, 524, 225, 88, 76, 73, 563, 314, 2004, 385, 551, 3223, 3461, 352, 88, 16, 650, 314, 2745, 551, 1908, 581, 357, 16, 780, 2454, 5120, 352, 88, 1842, 286, 530, 581, 357, 18, 203, 3804, 554, 1816, 16, 383, 479, 16, 1801, 18, 314, 352, 315, 1411, 2194, 225, 69, 3921, 292, 551, 1229, 3223, 16, 1411, 1712, 874, 522, 724, 1565, 2674, 18, 1236, 1825, 352, 88, 1880, 530, 596, 458, 318, 18, 203, 520, 24417, 203, 46634, 203, 4425, 18, 1997, 18070, 13843, 203, 45, 427, 225, 69, 369, 9186, 16, 290, 2340, 786, 554, 4953, 18, 203, 45, 714, 1316, 286, 9491, 357, 431, 377, 13, 8442, 6502, 5749, 31, 384, 13, 8442, 225, 69, 2219, 225, 88, 3951, 19880, 292, 1240, 2824, 18, 996, 314, 424, 352, 88, 1335, 225, 88, 76, 73, 1816, 314, 352, 72, 664, 286, 787, 16, 314, 787, 15464, 7926, 2248, 290, 609, 2824, 286, 623, 551, 1570, 1808, 31, 685, 13, 39647, 1228, 664, 616, 8060, 314, 424, 352, 88, 1033, 292, 225, 88, 76, 73, 1816, 15062, 388, 616, 45, 8619, 670, 314, 385, 3902, 3291, 203, 45, 714, 3895, 15516, 7321, 314, 352, 81, 291, 225, 69, 1670, 3343, 18, 203, 45, 427, 2705, 554, 982, 291, 551, 969, 16, 225, 69, 13650, 292, 798, 806, 18, 1236, 385, 12033, 383, 724, 16, 857, 1736, 530, 797, 2754, 1708, 18, 203, 15051, 1001, 18, 203, 485, 852, 37, 1530, 45632, 5932, 28, 8950, 203, 52, 1339, 1067, 203, 6427, 18, 2882, 352, 88, 14140, 332, 3949, 2519, 4992, 12990, 203, 45, 427, 541, 940, 5875, 1516, 290, 3380, 2387, 527, 345, 314, 3970, 1887, 28410, 2340, 760, 1876, 18, 314, 352, 81, 7333, 3141, 16, 26551, 16, 290, 314, 352, 81, 225, 88, 76, 73, 5056, 225, 69, 1171, 292, 717, 499, 286, 326, 4027, 388, 723, 18, 203, 3018, 650, 314, 352, 81, 431, 3000, 314, 1230, 1156, 20407, 3976, 18, 1542, 2165, 2935, 357, 3093, 664, 314, 352, 315, 1427, 357, 479, 1511, 18, 738, 504, 3119, 286, 225, 88, 76, 73, 745, 11724, 14265, 18, 314, 352, 315, 3867, 286, 1842, 286, 1907, 581, 442, 290, 544, 748, 357, 706, 664, 314, 352, 81, 40359, 18, 203, 2943, 1908, 4361, 423, 5026, 1220, 806, 2376, 16, 290, 760, 2168, 314, 427, 9026, 5423, 952, 292, 442, 1516, 18, 203, 5753, 664, 798, 609, 4939, 49239, 16, 314, 352, 81, 891, 383, 3267, 4027, 517, 16957, 383, 1737, 357, 290, 786, 554, 2935, 4953, 345, 314, 3970, 3000, 286, 3400, 18, 203, 56, 480, 311, 324, 18143, 69, 42, 5593, 203, 52, 1339, 1067, 203, 6036, 18, 378, 10287, 409, 45238, 203, 45, 352, 315, 1825, 225, 69, 14957, 16, 1175, 825, 16, 1318, 16, 1318, 18, 601, 352, 87, 652, 797, 806, 915, 16, 290, 314, 4865, 352, 88, 2705, 2978, 16, 1315, 551, 44647, 18, 409, 1621, 352, 87, 11908, 527, 291, 225, 69, 8720, 2047, 16, 290, 314, 1146, 499, 286, 548, 18, 203, 2943, 3719, 2960, 424, 352, 88, 1545, 1656, 314, 352, 81, 541, 2675, 290, 43262, 479, 292, 225, 88, 76, 73, 595, 16, 874, 650, 1631, 371, 5799, 18, 996, 770, 544, 3583, 1102, 5856, 857, 314, 1033, 544, 703, 1411, 23008, 530, 18, 203, 24434, 2336, 263, 203, 52, 1339, 1067, 203, 5777, 18, 332, 10779, 6575, 277, 1979, 1558, 203, 2943, 50156, 40846, 325, 551, 31442, 16, 1736, 551, 8456, 290, 49724, 290, 31442, 291, 225, 88, 76, 73, 1627, 408, 1766, 291, 915, 286, 3630, 225, 69, 46229, 11449, 346, 225, 88, 76, 73, 3259, 458, 40846, 346, 16, 4810, 527, 5254, 225, 69, 3858, 292, 38985, 15001, 291, 4941, 346, 633, 16, 1427, 6089, 16, 290, 2632, 286, 6442, 18, 1218, 225, 88, 76, 73, 1806, 2087, 352, 88, 991, 660, 18, 4121, 458, 1427, 524, 16, 458, 4810, 527, 1191, 785, 965, 346, 225, 88, 76, 73, 3259, 458, 40846, 346, 290, 3579, 1112, 522, 2845, 1001, 1148, 17, 28, 806, 1708, 18, 203, 45, 502, 1246, 551, 50156, 1155, 16, 290, 359, 326, 225, 88, 76, 73, 3259, 458, 40846, 346, 35, 1832, 609, 616, 8796, 550, 31442, 35, 2352, 1336, 670, 345, 3463, 703, 339, 16, 517, 314, 1246, 633, 823, 940, 359, 761, 290, 3188, 286, 633, 359, 288, 321, 560, 18, 203, 790, 16643, 83, 203, 52, 1339, 1067, 203, 5932, 18, 409, 10023, 27324, 203, 2943, 10658, 504, 279, 49720, 1103, 345, 2654, 1060, 225, 88, 76, 73, 3573, 423, 554, 292, 551, 23999, 18, 1832, 10658, 785, 291, 225, 88, 76, 73, 927, 385, 1712, 326, 1597, 11785, 290, 874, 644, 554, 346, 554, 292, 522, 1463, 290, 1981, 286, 6442, 326, 225, 69, 1889, 952, 292, 357, 16, 517, 225, 88, 76, 73, 1103, 2747, 352, 88, 423, 225, 88, 76, 73, 2863, 14760, 18, 203, 14827, 517, 551, 21602, 4953, 581, 225, 88, 76, 73, 1103, 16, 517, 874, 819, 225, 69, 1162, 12150, 292, 24799, 780, 703, 1411, 2819, 522, 1752, 952, 780, 6583, 950, 1248, 940, 18, 203, 14827, 12010, 289, 1742, 17, 76, 1742, 581, 357, 952, 544, 688, 225, 88, 76, 73, 1103, 703, 9605, 323 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 16, 388, 3522, 1076, 203, 1109, 21103, 3740, 203, 1109, 4011, 385, 225, 88, 76, 73, 1128, 314, 1740, 965, 1076, 1236, 12551, 633, 6728, 16, 24725, 658, 551, 3081, 18, 1236, 3737, 664, 225, 69, 48855, 391, 303, 31, 633, 3326, 643, 1772, 346, 11458, 27284, 16, 1956, 44343, 16, 1995, 286, 744, 633, 764, 5151, 42509, 18, 616, 2943, 1565, 318, 12676, 16, 517, 313, 424, 1015, 530, 2781, 487, 1076, 203, 31603, 30, 27324, 1010, 418, 28, 30, 3703, 203, 4696, 442, 30, 203, 9158, 203, 7995, 203, 4256, 442, 30, 203, 4256, 13897, 1143, 203, 12241, 431, 294, 467, 25959, 203, 15919, 35151, 385, 3157, 291, 3024, 7175, 16, 3470, 517, 318, 225, 69, 3259, 292, 225, 88, 76, 73, 1004, 18, 1236, 3989, 225, 88, 76, 73, 1851, 2198, 3062, 7044, 819, 8743, 1204, 290, 6228, 225, 69, 15730, 352, 87, 3658, 291, 20416, 423, 3024, 7175, 2361, 1495, 18, 361, 36218, 1060, 423, 3039, 286, 3039, 3909, 633, 3326, 286, 225, 88, 76, 73, 4316, 1004, 5919, 633, 290, 43825, 633, 47597, 3668, 1752, 18, 4210, 12412, 633, 1246, 326, 2190, 42842, 1653, 325, 44861, 27782, 290, 225, 88, 76, 73, 19672, 1504, 346, 633, 5435, 286, 7666, 633, 884, 8565, 292, 12874, 16, 10586, 16, 290, 10812, 11169, 18, 1605, 780, 7922, 225, 88, 76, 73, 595, 286, 4046, 225, 2, 0, 33143, 373, 2409, 12412, 225, 69, 4449, 9253, 346, 629, 292, 225, 88, 76, 73, 9800, 12136, 290, 13919, 4797, 291, 225, 88, 76, 73, 1868, 18, 203, 10274, 954, 44171, 203, 33143, 373, 363, 533, 272, 203, 37, 1889, 581, 443, 203, 33143, 373, 2409, 318, 2750, 4595, 326, 35958, 203, 829, 1408, 286, 25855, 962, 9915, 6537, 396, 19515, 291, 225, 88, 76, 73, 12157, 277, 35814, 411, 6796, 2307, 3556, 873, 1670, 6537, 16, 18564, 290, 11031, 2453, 225, 88, 76, 73, 602, 16, 225, 88, 76, 73, 3586, 526, 411, 6796, 8642, 30434, 424, 339, 13569, 326, 1682, 388, 1275, 16450, 4266, 1477, 225, 69, 1302, 18, 2691, 1220, 631, 9554, 10619, 10857, 9853, 277, 225, 88, 76, 73, 3586, 526, 1560, 3077, 17458, 28854, 10506, 13327, 10857, 290, 2701, 33608, 20329, 6816, 10857, 16, 9915, 424, 915, 339, 2533, 290, 5171, 479, 602, 2806, 696, 4817, 225, 88, 76, 73, 3928, 18, 203, 4742, 588, 10857, 1227, 383, 1814, 321, 1040, 927, 16, 1558, 17, 29796, 10857, 371, 1227, 23265, 2021, 290, 25979, 28203, 1188, 321, 1535, 2405, 18, 203, 43953, 279, 1393, 383, 37880, 2409, 35, 203, 23129, 225, 69, 2072, 203, 8678, 15547, 203, 33143, 373, 2409, 203, 49797, 203, 49608, 203, 24078, 291, 19611, 16, 37880, 2409, 318, 225, 88, 76, 73, 1819, 1128, 286, 1508, 969, 291, 225, 69, 2176, 2592, 290, 4710, 6783, 18, 203, 8494, 4576, 35147, 18, 564, 283, 11870, 18, 2, 0, 30704, 290, 5971, 1569, 424, 894, 359, 1846, 359, 2485, 290, 1172, 1535, 359, 2775, 359, 2355, 396, 1586, 1619, 442, 7507, 827, 313, 1766, 859, 4150, 442, 595, 660, 318, 7916, 23265, 290, 874, 857, 225, 88, 76, 73, 2900, 16, 424, 339, 7513, 2578, 14690, 696, 4552, 357, 352, 87, 4065, 5, 203, 3804, 770, 371, 408, 543, 21893, 286, 1792, 7258, 517, 357, 352, 87, 568, 225, 69, 595, 650, 629, 292, 225, 88, 76, 73, 3650, 1185, 319, 18, 37, 18, 40, 18, 1099, 691, 408, 659, 2425, 2935, 286, 4874, 581, 5, 557, 1408, 286, 1191, 2573, 359, 940, 359, 1634, 396, 32874, 581, 225, 88, 76, 73, 3002, 292, 11021, 1036, 13, 290, 1792, 1796, 3400, 16, 1036, 371, 629, 609, 2230, 313, 424, 5657, 398, 11069, 1056, 5, 203, 33401, 27461, 203, 7347, 313, 502, 2425, 16, 744, 1336, 345, 398, 25752, 318, 18357, 18, 1838, 1071, 442, 1940, 35, 828, 659, 398, 21019, 1056, 286, 339, 1376, 5307, 291, 1374, 286, 2182, 968, 290, 14915, 12477, 423, 398, 1518, 18, 738, 318, 708, 398, 1657, 3464, 225, 88, 76, 73, 12477, 357, 1551, 286, 2575, 5307, 290, 905, 1230, 339, 1174, 292, 1763, 18, 5822, 77, 5320, 5946, 664, 2520, 1713, 388, 7076, 4007, 819, 7522, 16, 48473, 27461, 388, 2328, 12254, 424, 479, 339, 2778, 17340, 292, 4436, 25752, 16, 359, 424, 543, 10599, 13564, 664, 16005, 16, 961, 14022, 819, 5369, 290, 2110, 7788, 18, 203, 15108, 2576, 1102, 203, 4505, 1498, 14901, 27461, 1366, 21884, 35, 203, 25, 12098, 17773, 286, 15608, 14901, 27461, 5383, 203, 4459, 14901, 27461, 755, 3262, 25038, 203, 6645, 1186, 820, 203, 829, 279, 4147, 1004, 16, 408, 703, 339, 1792, 479, 292, 531, 12477, 423, 225, 88, 76, 73, 1518, 408, 3835, 517, 3248, 408, 659, 225, 69, 1308, 5657, 18, 1238, 371, 798, 11815, 408, 424, 949, 1154, 4065, 290, 5971, 1569, 286, 723, 524, 531, 11069, 1056, 18, 203, 39020, 389, 30, 4143, 408, 623, 13151, 389, 423, 225, 88, 76, 73, 2900, 16, 8801, 277, 1154, 4357, 318, 3437, 326, 629, 717, 18, 601, 318, 29308, 286, 894, 2158, 398, 8801, 291, 225, 88, 76, 73, 2377, 981, 4357, 8395, 290, 313, 1156, 38209, 18, 203, 39020, 331, 30, 332, 4014, 30483, 16, 442, 13151, 28975, 531, 11069, 2557, 291, 1579, 2230, 18, 3440, 292, 479, 16, 357, 17595, 225, 88, 76, 73, 2551, 292, 1845, 2660, 3695, 5988, 16, 573, 371, 531, 1657, 352, 87, 2401, 7128, 1584, 13323, 18, 1099, 279, 30483, 16, 357, 1119, 3058, 1209, 531, 2680, 3485, 396, 5834, 318, 225, 69, 13367, 286, 33709, 13, 290, 15781, 531, 5988, 1584, 1324, 35599, 18, 203, 62, 2005, 30, 738, 14576, 3158, 531, 11069, 1056, 225, 69, 5591, 15176, 431, 3765, 357, 10572, 706, 42364, 33709, 290, 504, 1902, 652, 4350, 286, 32974, 225, 88, 76, 73, 4980, 292, 225, 69, 4065, 18, 203, 41, 27057, 34231, 30, 17772, 286, 13151, 331, 290, 25100, 16, 442, 16727, 3058, 346, 225, 88, 76, 73, 2551, 292, 2660, 3695, 5988, 18, 4367, 3695, 5988, 371, 14734, 650, 398, 1657, 318, 8436, 286, 2618, 10331, 388, 225, 69, 7156, 290, 857, 3284, 519, 3727, 1584, 225, 88, 76, 73, 871, 10164, 203, 15108, 2576, 1102, 203, 1647, 1542, 10232 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 8917, 1663, 385, 359, 3063, 359, 458, 4938, 18, 731, 979, 1422, 530, 1403, 2949, 383, 962, 5940, 691, 314, 35974, 527, 32146, 5, 314, 352, 81, 449, 1336, 691, 357, 385, 952, 458, 1919, 352, 88, 813, 225, 88, 76, 73, 962, 286, 1033, 314, 385, 11069, 423, 1792, 225, 69, 280, 2482, 33858, 396, 18919, 544, 479, 3583, 408, 643, 1902, 24886, 819, 531, 595, 1511, 383, 48493, 954, 18334, 13, 388, 691, 458, 3583, 357, 1902, 979, 2883, 530, 527, 18, 16410, 16, 357, 385, 225, 69, 5954, 14761, 291, 225, 88, 76, 73, 14721, 1628, 18, 409, 6646, 1142, 5171, 1059, 5940, 383, 551, 11082, 18, 203, 1543, 2533, 291, 225, 88, 76, 73, 7196, 6263, 4499, 1569, 290, 225, 88, 76, 73, 6485, 4622, 10023, 18, 8549, 385, 543, 14976, 359, 225, 69, 2946, 696, 4499, 225, 88, 76, 73, 6263, 326, 961, 225, 88, 76, 73, 910, 962, 658, 225, 69, 1569, 16, 388, 4499, 225, 88, 76, 73, 631, 984, 10325, 2243, 35, 203, 3864, 30, 409, 11572, 4622, 10023, 385, 823, 14976, 952, 2165, 644, 3055, 443, 706, 18, 7015, 408, 644, 955, 225, 69, 891, 6585, 291, 2165, 1060, 443, 18, 17170, 385, 2838, 3063, 1248, 16, 952, 408, 643, 225, 88, 76, 73, 724, 286, 1419, 225, 88, 76, 73, 4803, 3556, 19895, 16, 517, 357, 3110, 225, 69, 1889, 2110, 1957, 359, 9476, 286, 225, 69, 6452, 1465, 955, 359, 225, 69, 4622, 10023, 691, 313, 643, 286, 9538, 225, 88, 76, 73, 1185, 18, 203, 2856, 225, 88, 76, 73, 6502, 3051, 43836, 8335, 658, 26461, 979, 313, 1156, 408, 644, 225, 88, 76, 73, 1185, 658, 225, 88, 76, 73, 27586, 291, 10596, 286, 4499, 16120, 35, 203, 3864, 30, 5938, 16, 4499, 658, 26461, 291, 23393, 3543, 3269, 443, 225, 88, 76, 73, 5330, 1191, 698, 5504, 1129, 18304, 18, 203, 1647, 4697, 371, 1191, 754, 398, 1763, 359, 313, 949, 225, 88, 76, 73, 724, 1177, 291, 291, 225, 69, 4622, 10023, 35, 203, 3864, 30, 409, 4697, 345, 499, 754, 551, 1763, 325, 551, 724, 2843, 527, 385, 1102, 1517, 352, 87, 499, 286, 548, 13468, 203, 988, 2745, 225, 88, 76, 73, 1737, 685, 2257, 286, 9640, 314, 306, 696, 596, 3158, 225, 69, 4127, 16040, 5069, 3918, 18, 1009, 357, 352, 87, 35067, 383, 225, 88, 76, 73, 991, 292, 23793, 352, 87, 1358, 3466, 18, 203, 521, 4329, 3583, 408, 643, 2561, 291, 531, 50103, 290, 9350, 1626, 7257, 16, 517, 650, 313, 7141, 524, 291, 225, 88, 76, 73, 1731, 315, 73, 6374, 1481, 15668, 357, 2267, 225, 69, 13711, 1060, 225, 88, 76, 73, 5214, 18, 8968, 357, 427, 225, 88, 76, 73, 1150, 2707, 325, 225, 88, 76, 73, 1865, 35, 203, 988, 643, 1025, 17, 22, 968, 383, 225, 88, 76, 73, 2182, 16, 670, 979, 8917, 1663, 1335, 286, 313, 383, 2333, 595, 35, 203, 521, 3189, 325, 225, 88, 76, 73, 927, 4544, 2365, 225, 69, 1162, 8162, 10021, 696, 1315, 4584, 1591, 366, 352, 8841, 325, 18, 707, 352, 264, 452, 806, 325, 915, 696, 313, 424, 1880, 443, 696, 979, 458, 2718, 357, 35, 203, 47545, 30, 314, 352, 315, 1427, 286, 339, 5069, 696, 314, 424, 352, 88, 2842, 225, 88, 76, 73, 2840, 1060, 798, 292, 398, 2257, 18, 557, 2066, 398, 2257, 427, 6807, 543, 720, 314, 3583, 5, 314, 1919, 352, 88, 11201, 225, 88, 76, 73, 16483, 5321, 16, 670, 225, 88, 76, 73, 2333, 595, 3954, 385, 388, 345, 1591, 366, 18192, 325, 12740, 314, 943, 352, 88, 1033, 314, 1801, 8218, 225, 88, 76, 73, 1305, 18, 738, 3570, 504, 5166, 530, 286, 502, 345, 18, 203, 1624, 225, 88, 76, 73, 1305, 1981, 325, 16755, 2183, 5300, 286, 4179, 290, 26461, 352, 87, 7434, 16, 359, 34045, 1548, 431, 38878, 8496, 296, 290, 1761, 12410, 3988, 8558, 272, 423, 9919, 18, 8928, 660, 225, 69, 2780, 1154, 225, 88, 76, 73, 1305, 650, 313, 2004, 616, 27355, 1978, 424, 352, 88, 623, 754, 531, 14448, 16, 408, 352, 264, 1191, 286, 1419, 442, 550, 696, 388, 502, 313, 1209, 1059, 4697, 1535, 225, 88, 76, 73, 8841, 325, 2593, 225, 88, 76, 73, 1172, 5088, 35, 203, 3864, 30, 1238, 371, 479, 10052, 292, 13689, 345, 499, 754, 398, 1357, 1154, 225, 88, 76, 73, 1305, 290, 543, 541, 346, 2239, 286, 499, 18, 1218, 650, 313, 352, 264, 325, 225, 88, 76, 73, 1962, 290, 34572, 527, 760, 28826, 292, 11706, 524, 292, 225, 88, 76, 73, 6783, 1102, 88, 76, 73, 1763, 1541, 3177, 8346, 5, 203, 22698, 660, 225, 69, 2925, 16, 650, 313, 1981, 658, 286, 3954, 291, 225, 88, 76, 73, 5058, 16, 345, 357, 385, 1191, 286, 339, 531, 1876, 35, 8968, 313, 2649, 5656, 286, 12714, 225, 88, 76, 73, 10181, 35, 203, 47545, 30, 314, 502, 2842, 9919, 225, 88, 76, 73, 1934, 290, 3347, 408, 352, 72, 36335, 357, 18, 5656, 93, 385, 1230, 225, 69, 1388, 5560, 2946, 541, 314, 3583, 458, 352, 72, 6134, 225, 88, 76, 73, 384, 2697, 18, 203, 1624, 225, 88, 76, 73, 770, 1934, 31198, 291, 16755, 724, 4622, 10023, 6912, 16, 708, 1071, 357, 1156, 5892, 313, 459, 7753, 339, 37014, 290, 12097, 431, 16755, 4329, 326, 398, 9216, 35, 203, 47545, 30, 314, 1919, 352, 88, 874, 5824, 345, 385, 225, 88, 76, 73, 770, 1934, 291, 225, 88, 76, 73, 1305, 290, 16755, 724, 4803, 3556, 13529, 10023, 1419, 35, 1838, 279, 13665, 286, 339, 641, 292, 357, 5, 203, 1647, 371, 313, 527, 286, 803, 1477, 35, 8892, 2912, 291, 225, 88, 76, 73, 1305, 35, 203, 3864, 30, 314, 427, 652, 2354, 291, 12859, 326, 225, 88, 76, 73, 1843, 1136, 806, 819, 4721, 16755, 18, 314, 5141, 225, 88, 76, 73, 4104, 13243, 19212, 291, 225, 88, 76, 73, 3442, 290, 314, 714, 568, 225, 88, 76, 73, 864, 2358, 3962, 326, 20215, 13243, 18, 1666, 352, 87, 13243, 7970, 32146, 5, 203, 47545, 30, 314, 352, 81, 279, 12252, 326, 225, 88, 76, 73, 9416, 18 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 18, 557, 225, 69, 34790, 286, 28958, 16, 458, 34609, 345, 616, 69, 891, 2101, 292, 225, 88, 76, 73, 7284, 550, 291, 225, 88, 76, 73, 2532, 1504, 385, 1142, 225, 69, 30908, 292, 5096, 17, 13417, 17118, 30, 616, 44, 267, 790, 1641, 264, 1065, 497, 1641, 24253, 334, 23119, 318, 915, 279, 13293, 15703, 326, 1870, 670, 1380, 427, 652, 1772, 8432, 1076, 4669, 522, 1948, 70, 3560, 596, 352, 72, 7038, 1159, 25379, 16, 34755, 2166, 593, 8021, 345, 2528, 644, 1772, 1308, 286, 34933, 2088, 225, 88, 76, 73, 25238, 18, 616, 1266, 703, 339, 2298, 286, 658, 386, 3117, 225, 88, 76, 73, 3658, 286, 573, 1840, 761, 11007, 25379, 1152, 386, 2660, 3146, 1076, 203, 50174, 6875, 16, 11139, 431, 34755, 2166, 593, 16, 644, 9911, 345, 616, 13417, 3146, 1381, 4133, 5810, 550, 326, 225, 88, 76, 73, 2579, 292, 225, 88, 76, 73, 2532, 1504, 16, 34755, 2166, 593, 3972, 28958, 345, 616, 88, 76, 73, 34795, 3151, 1284, 703, 1994, 286, 339, 29710, 2271, 17, 10048, 2444, 1076, 731, 3838, 30, 203, 521, 34795, 4436, 1597, 1620, 543, 18743, 12962, 1641, 16641, 291, 225, 88, 76, 73, 1139, 292, 225, 88, 76, 73, 16360, 9849, 292, 225, 88, 76, 73, 3283, 7423, 352, 87, 1641, 542, 427, 2123, 225, 88, 76, 73, 2532, 3960, 1284, 279, 49997, 10910, 346, 573, 286, 26818, 2660, 3146, 18, 738, 504, 652, 326, 798, 279, 15961, 29172, 20428, 1185, 18, 616, 4193, 442, 388, 225, 88, 76, 73, 5394, 459, 9423, 1076, 3264, 1838, 1848, 9804, 290, 4060, 48057, 643, 286, 225, 88, 76, 73, 591, 88, 76, 17, 4577, 6717, 6982, 16, 225, 88, 76, 73, 13859, 4932, 16, 5900, 6335, 16, 290, 3260, 7625, 3064, 459, 339, 286, 225, 88, 76, 73, 2563, 5260, 292, 34795, 272, 18, 1108, 371, 292, 1619, 823, 11450, 291, 442, 3622, 18, 203, 829, 442, 1150, 34790, 17508, 10949, 2422, 13261, 442, 8348, 18472, 34790, 291, 522, 1184, 409, 10083, 1548, 6065, 30, 409, 3677, 33566, 290, 1287, 601, 50068, 3146, 2562, 34755, 2166, 593, 41706, 3773, 15506, 225, 69, 616, 41284, 20921, 22152, 1641, 77, 82, 25828, 1596, 28963, 14462, 1641, 1586, 225, 88, 76, 73, 22187, 345, 660, 318, 225, 69, 3770, 291, 12508, 2778, 550, 1133, 225, 88, 76, 73, 797, 8712, 18, 34755, 2166, 593, 8021, 345, 458, 979, 449, 2466, 291, 225, 69, 12508, 3770, 291, 8126, 16, 517, 928, 458, 3285, 225, 88, 76, 73, 2669, 616, 261, 1227, 2537, 1076, 203, 48979, 1142, 979, 1922, 286, 5880, 1154, 225, 88, 76, 73, 1846, 6799, 87, 18, 1218, 431, 442, 1570, 16, 34755, 2166, 593, 644, 3716, 18, 5502, 286, 225, 88, 76, 73, 34755, 2166, 593, 292, 225, 88, 76, 73, 28958, 7099, 16, 3960, 17, 6553, 25379, 643, 449, 36730, 7218, 11933, 286, 623, 4208, 1641, 542, 643, 7911, 7882, 12709, 4399, 1621, 291, 5697, 326, 225, 88, 76, 73, 3097, 292, 3146, 352, 87, 5394, 18, 1009, 225, 88, 76, 73, 616, 367, 22266, 2271, 17, 10048, 2444, 550, 2532, 4436, 643, 40483, 1363, 2991, 16, 225, 88, 76, 73, 11976, 383, 225, 88, 76, 73, 15038, 292, 854, 321, 3310, 2660, 3146, 18, 557, 15687, 4958, 7218, 359, 3785, 225, 88, 76, 73, 2360, 1196, 292, 22524, 290, 4967, 1159, 4292, 16, 291, 14475, 286, 624, 359, 225, 69, 3593, 292, 21128, 16, 34755, 2166, 593, 3989, 225, 88, 76, 73, 941, 2322, 292, 2532, 7038, 1574, 18, 557, 541, 1870, 16, 458, 30646, 799, 522, 884, 5586, 8319, 291, 2484, 616, 521, 34795, 5595, 550, 291, 225, 88, 76, 73, 724, 1128, 18, 2060, 1071, 449, 1127, 225, 69, 3097, 1975, 326, 225, 69, 3593, 292, 26548, 18, 2060, 12503, 225, 69, 19874, 18, 203, 21486, 225, 88, 76, 73, 1412, 805, 290, 26723, 34755, 2166, 593, 8792, 291, 225, 88, 76, 73, 7423, 87, 16, 522, 4370, 41380, 14548, 3506, 23253, 1660, 18, 2060, 30188, 34755, 2166, 593, 291, 27174, 10638, 352, 87, 5068, 25237, 292, 2532, 23914, 290, 2532, 3366, 18, 3012, 1438, 292, 34755, 2166, 593, 352, 87, 3347, 5583, 754, 5042, 14013, 352, 87, 25269, 18, 616, 988, 2968, 3264, 4659, 225, 88, 76, 73, 1644, 1504, 290, 10523, 225, 88, 76, 73, 1644, 1201, 1535, 408, 1369, 225, 88, 76, 73, 3834, 16, 225, 88, 76, 73, 4654, 16, 225, 88, 76, 73, 12109, 16, 290, 225, 88, 76, 73, 6533, 345, 548, 3158, 1395, 3296, 14013, 2705, 225, 69, 1275, 292, 2532, 3042, 2828, 291, 20201, 291, 8169, 18, 731, 13941, 326, 225, 69, 3488, 8574, 325, 1220, 30208, 1641, 78, 8756, 16, 1201, 16, 290, 7284, 1641, 5856, 225, 88, 76, 73, 1868, 352, 87, 5791, 286, 1040, 292, 803, 5410, 3227, 9377, 30006, 274, 18, 3726, 284, 1313, 342, 49310, 1154, 14013, 352, 87, 797, 3245, 18, 1238, 352, 87, 823, 1308, 4840, 345, 357, 3459, 968, 7284, 1641, 387, 18121, 4840, 345, 357, 15888, 2584, 7492, 326, 2532, 1673, 16, 290, 23354, 225, 88, 76, 73, 1671, 292, 1201, 16569, 345, 14013, 290, 34755, 2166, 593, 1119, 31143, 282, 18, 557, 519, 4320, 286, 7181, 225, 88, 76, 73, 2532, 1201, 16, 14013, 290, 34755, 2166, 593, 1641, 387, 10638, 16, 1248, 1641, 6779, 1282, 286, 8992, 2151, 1670, 3064, 346, 5068, 42080, 292, 312, 38996, 35382, 396, 88, 76, 73, 616, 17705, 19, 387, 550, 14403, 16, 359, 10638, 504, 28553, 357, 873, 290, 544, 6951, 345, 7218, 643, 6824, 292, 2158, 291, 42080, 292, 2532, 3354, 290, 2660, 17118, 383, 1912, 18, 1218, 442, 42463, 225, 88, 76, 73, 3137, 292, 225, 88, 76, 73, 1868, 352, 87, 2084, 18, 203, 1109, 1266, 703, 339, 2298, 286, 658, 386, 3117, 225, 88, 76, 73, 3658, 286, 573, 1840, 761, 11007, 25379, 1152, 386, 2660, 3146, 1076, 1608, 8732, 10329, 34755, 2166, 593, 286, 6476, 28958, 16, 6799, 203, 1905, 4958, 7218, 16, 6789, 264, 4982, 318, 225, 88, 76, 73, 5939, 2919, 18, 13309, 80, 35608, 15795, 326, 4093, 10397, 806, 18, 409, 8536, 806, 345, 3938, 427, 14333, 282, 7222, 656, 263, 505, 16, 4103, 1190, 12473 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 88, 688, 691, 290, 19, 281, 650, 345, 459, 3910, 18, 1078, 915, 16, 408, 371, 2354, 346, 34986, 15476, 16, 225, 69, 2181, 292, 15476, 345, 318, 15147, 431, 864, 3265, 292, 14159, 290, 7067, 18, 601, 318, 225, 88, 76, 73, 2181, 292, 15476, 345, 4687, 650, 225, 69, 3719, 554, 3177, 5071, 290, 357, 318, 449, 1712, 2442, 544, 371, 3830, 388, 8207, 18, 203, 1833, 502, 408, 15363, 346, 34986, 15476, 35, 409, 7067, 292, 442, 2181, 292, 15476, 318, 823, 12621, 286, 1766, 346, 290, 531, 15903, 318, 286, 1934, 286, 3881, 357, 18, 2060, 836, 286, 502, 442, 318, 286, 499, 286, 36326, 18, 996, 225, 69, 3719, 554, 318, 5071, 16, 408, 424, 3881, 7067, 431, 18342, 225, 88, 76, 73, 982, 318, 8207, 16, 388, 874, 345, 225, 88, 76, 73, 982, 318, 3830, 18, 557, 531, 4311, 17, 916, 4418, 408, 424, 3881, 7067, 431, 18342, 345, 225, 88, 76, 73, 4337, 318, 449, 1229, 16, 449, 891, 16, 388, 345, 357, 1825, 352, 88, 2073, 286, 443, 18, 996, 408, 2466, 770, 442, 16, 408, 991, 527, 325, 225, 69, 17264, 4240, 291, 4941, 290, 225, 88, 76, 73, 2078, 877, 318, 449, 3220, 18, 707, 424, 499, 286, 225, 88, 76, 73, 609, 8017, 290, 2466, 345, 408, 371, 1411, 1191, 286, 6596, 16, 290, 531, 10316, 371, 7428, 18, 1867, 14159, 318, 21537, 16, 290, 691, 408, 424, 1033, 292, 2170, 286, 13138, 16, 531, 7067, 318, 21537, 359, 761, 18, 707, 857, 1620, 29221, 290, 531, 4613, 1489, 318, 383, 2972, 18, 17142, 836, 16, 1191, 286, 36326, 318, 449, 225, 69, 5097, 3874, 18, 1542, 339, 4246, 6316, 290, 949, 1028, 292, 531, 4613, 1489, 408, 659, 286, 942, 2230, 292, 2354, 291, 225, 88, 76, 73, 3960, 2625, 16, 827, 531, 7067, 318, 864, 18, 1456, 225, 88, 76, 73, 2780, 16, 225, 69, 1398, 292, 7067, 318, 877, 1608, 357, 6386, 443, 35721, 290, 2703, 18, 203, 1833, 286, 331, 1534, 35, 203, 4664, 2230, 291, 573, 408, 424, 15363, 346, 225, 88, 76, 73, 15476, 292, 4311, 17, 916, 1706, 30, 203, 31783, 7067, 1249, 761, 17, 4873, 4603, 955, 359, 10826, 388, 10955, 18, 4752, 23588, 3754, 664, 5179, 16, 22736, 16, 4067, 16, 41996, 2977, 388, 394, 858, 4878, 459, 568, 723, 18, 203, 11361, 2949, 286, 670, 5950, 531, 7067, 31487, 18, 738, 459, 1075, 443, 292, 2425, 408, 424, 502, 286, 3307, 225, 88, 76, 73, 31487, 16, 955, 359, 449, 1191, 286, 225, 88, 76, 73, 12362, 2803, 290, 13329, 25288, 1344, 18, 1456, 225, 88, 76, 73, 823, 2070, 431, 6317, 2949, 408, 459, 1973, 650, 225, 88, 76, 73, 31487, 459, 1011, 1677, 18, 203, 4331, 352, 88, 1033, 1248, 1856, 4208, 18, 409, 5160, 318, 408, 943, 352, 88, 688, 225, 88, 76, 73, 1924, 383, 442, 595, 18, 8461, 286, 1424, 357, 22362, 359, 357, 1071, 18, 2060, 1788, 383, 225, 69, 595, 18, 203, 12017, 4571, 670, 318, 1434, 531, 1945, 290, 1635, 325, 345, 18, 707, 424, 352, 88, 1945, 708, 442, 7156, 318, 1191, 286, 748, 524, 16, 517, 408, 427, 629, 1945, 658, 940, 292, 531, 2654, 1434, 531, 4354, 290, 658, 708, 408, 11497, 286, 479, 345, 318, 1191, 325, 18, 203, 44011, 345, 408, 371, 35985, 1608, 573, 1817, 408, 459, 427, 2618, 1477, 650, 408, 943, 352, 88, 1156, 11530, 286, 502, 2425, 16, 290, 877, 1477, 650, 408, 1033, 408, 371, 22738, 761, 18, 1867, 7859, 459, 2843, 443, 20023, 1596, 290, 408, 783, 1156, 15495, 290, 524, 292, 1945, 383, 1631, 18, 1783, 10041, 459, 2348, 291, 290, 524, 18, 557, 225, 69, 1406, 927, 16, 688, 225, 69, 1317, 927, 318, 2563, 18, 557, 225, 69, 877, 927, 16, 11522, 357, 3399, 16, 5892, 531, 6787, 371, 3765, 443, 14612, 326, 225, 88, 76, 73, 1358, 8293, 18, 203, 42721, 225, 88, 76, 73, 1477, 1608, 290, 502, 357, 225, 88, 76, 73, 1876, 981, 18, 707, 371, 543, 11530, 286, 623, 524, 292, 3081, 691, 408, 427, 279, 2251, 292, 670, 408, 371, 1191, 286, 502, 345, 927, 18, 203, 8276, 25063, 423, 225, 88, 76, 73, 6781, 292, 15476, 286, 3307, 961, 15495, 18, 3408, 1721, 3678, 524, 1228, 286, 6058, 383, 16, 2773, 225, 69, 1279, 16, 14536, 10077, 346, 1201, 16, 2810, 225, 69, 3329, 6114, 16, 987, 225, 69, 877, 1184, 16, 2029, 279, 47579, 277, 12253, 1167, 31, 4817, 2016, 326, 1040, 292, 443, 18, 203, 17831, 3668, 2163, 13156, 286, 2037, 4737, 1608, 359, 408, 502, 650, 408, 427, 225, 88, 76, 73, 1201, 12181, 5368, 658, 11971, 16, 748, 6640, 1344, 16, 1177, 1344, 23292, 326, 531, 1907, 388, 11217, 5323, 713, 44340, 39407, 18, 203, 7957, 927, 7062, 1220, 1228, 345, 1981, 761, 16, 345, 408, 371, 8134, 326, 18, 203, 24290, 803, 5374, 16, 408, 424, 1934, 286, 942, 3769, 291, 670, 408, 371, 1191, 754, 18, 707, 424, 6592, 325, 531, 3901, 290, 325, 670, 408, 821, 1191, 325, 291, 225, 88, 76, 73, 1004, 18, 707, 424, 1386, 2949, 286, 31529, 408, 821, 6638, 291, 5094, 1608, 2684, 291, 11365, 16, 18285, 290, 13335, 18, 707, 427, 225, 88, 76, 73, 595, 286, 1033, 581, 670, 408, 813, 531, 2654, 286, 339, 664, 16, 670, 531, 13335, 459, 339, 16, 290, 670, 408, 2278, 291, 531, 4100, 290, 1868, 18, 996, 408, 502, 345, 16, 3017, 459, 2073, 18, 707, 459, 16254, 423, 442, 16, 449, 286, 827, 408, 643, 981, 16, 517, 286, 7630, 345, 318, 29806, 16, 34945, 16, 290, 16, 10541, 16, 543, 20086, 290, 3542, 18, 707, 459, 339, 45073, 359, 3197, 16, 359, 4100, 290, 359, 16744, 18, 409, 47433, 326, 5673, 346, 15476, 290, 864, 3265, 292, 7067, 383, 225, 88, 76, 73, 2780, 318, 225, 88, 76, 73, 7091, 292, 225, 69, 1317, 1924, 18, 2861, 318, 531, 595, 286, 4200, 18, 1605, 442, 318, 658, 357, 459, 339, 595, 286, 548, 1511, 286, 942, 2230, 286, 744, 1059, 7343, 22420, 18, 203, 1641, 13285, 22317, 318, 225, 69 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 88, 76, 73, 12504, 16893, 3556, 18, 203, 203, 14777, 2269, 203, 829, 261, 2483, 522, 1968, 2269, 346, 225, 88, 76, 73, 5367, 1069, 26088, 291, 5452, 290, 1981, 325, 286, 748, 797, 6806, 326, 225, 88, 76, 73, 2595, 981, 3427, 286, 9778, 827, 458, 4862, 346, 393, 933, 43368, 8999, 73, 326, 225, 88, 76, 73, 4589, 1180, 6731, 1569, 18, 203, 203, 829, 4109, 16, 557, 261, 4862, 346, 41312, 5284, 827, 458, 1981, 325, 286, 748, 797, 6806, 326, 225, 88, 76, 73, 2595, 18, 1979, 5192, 225, 88, 76, 73, 3486, 1180, 6755, 1569, 346, 45956, 9325, 3614, 16036, 10217, 77, 16, 557, 261, 3989, 3388, 274, 4568, 11398, 291, 2382, 3384, 827, 458, 3413, 225, 88, 76, 73, 3384, 1180, 1537, 1569, 18, 203, 203, 2091, 377, 2698, 2987, 16, 557, 261, 4862, 346, 26997, 480, 36145, 326, 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 2987, 1180, 2288, 1569, 18, 203, 203, 829, 3008, 16, 557, 261, 4415, 286, 10612, 290, 4862, 346, 225, 88, 76, 73, 5367, 1069, 26088, 326, 3008, 1180, 1996, 1569, 16, 7171, 225, 88, 76, 73, 2595, 326, 225, 69, 1361, 26098, 18, 557, 2494, 2862, 16, 458, 1736, 5367, 1069, 819, 13570, 291, 2116, 1823, 290, 1981, 785, 286, 9778, 827, 458, 4862, 346, 378, 301, 5593, 47887, 4761, 255, 82, 992, 2526, 77, 326, 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 1569, 18, 203, 203, 10776, 225, 88, 76, 73, 2371, 292, 522, 3223, 291, 2355, 2862, 16, 557, 261, 4415, 286, 10612, 1912, 1001, 290, 4862, 346, 225, 88, 76, 73, 21792, 16595, 326, 225, 88, 76, 73, 2862, 1180, 2721, 1569, 18, 203, 203, 2091, 2429, 1946, 16, 2855, 16, 557, 261, 4862, 346, 225, 88, 76, 73, 5367, 1069, 26088, 326, 225, 88, 76, 73, 2855, 1180, 2566, 1569, 16, 7838, 286, 225, 88, 76, 73, 2595, 326, 225, 69, 2630, 26098, 18, 1790, 16, 458, 4642, 715, 6196, 1823, 291, 2855, 1180, 2566, 819, 279, 5516, 15178, 1220, 1823, 698, 225, 88, 76, 73, 1569, 4325, 950, 524, 292, 2797, 326, 1560, 2039, 18, 8035, 522, 4436, 5203, 16, 458, 307, 17, 44236, 346, 225, 88, 76, 73, 2595, 291, 2429, 2730, 326, 225, 88, 76, 73, 2730, 1180, 2173, 1569, 18, 203, 203, 829, 261, 307, 17, 44236, 346, 8389, 47, 292, 225, 88, 76, 73, 11057, 384, 348, 7053, 2217, 319, 315, 36959, 325, 2427, 685, 16, 1920, 18, 203, 203, 11705, 2269, 203, 2856, 2561, 326, 225, 88, 76, 73, 11057, 2763, 10345, 3201, 16, 557, 261, 959, 522, 5012, 962, 4796, 291, 4109, 290, 504, 1364, 959, 3080, 5132, 326, 10612, 18, 203, 203, 10220, 203, 829, 261, 526, 3223, 16, 28356, 6068, 16, 3904, 291, 2355, 2862, 819, 225, 69, 941, 5269, 346, 5026, 18, 1728, 3845, 16, 6860, 21283, 16, 318, 568, 225, 69, 1968, 6882, 2946, 31, 225, 88, 76, 73, 797, 2533, 6300, 1040, 609, 346, 225, 88, 76, 73, 5367, 1069, 26088, 291, 2855, 1180, 2566, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 56, 12844, 20732, 18, 1724, 5437, 203, 15243, 4934, 14952, 18, 1633, 5437, 203, 36559, 70, 10680, 18, 1633, 15666, 203, 28851, 1069, 58, 1365, 805, 18, 583, 5437, 203, 203, 19554, 4686, 203, 6004, 717, 203, 2282, 84, 5284, 6882, 1865, 203, 11121, 274, 4568, 361, 5011, 93, 5011, 79, 19718, 73, 15222, 3614, 16036, 10217, 77, 1865, 203, 42, 933, 43368, 8999, 73, 1673, 526, 6882, 1865, 203, 44, 301, 5593, 47887, 4761, 255, 82, 992, 2526, 77, 361, 18, 47, 18, 1865, 203, 47, 455, 9325, 3614, 16036, 10217, 77, 319, 18, 47, 18, 1865, 203, 51, 93, 480, 36145, 6882, 1865, 203, 5013, 423, 3574, 1553, 4628, 21622, 203, 30680, 717, 292, 12504, 12107, 203, 30680, 1673, 526, 6882, 1865, 203, 28851, 1069, 26088, 1865, 203, 26577, 16758, 16595, 1865, 203, 16669, 21557, 203, 17869, 423, 21792, 2307, 2, 0, 24382, 734, 567, 318, 225, 69, 12923, 292, 23602, 4406, 291, 225, 88, 76, 73, 1201, 4152, 90, 20373, 18, 203, 203, 33613, 1706, 30, 203, 24382, 734, 567, 647, 579, 1325, 38659, 203, 24382, 734, 567, 4008, 300, 1181, 203, 24382, 734, 567, 5035, 39687, 7550, 202, 203, 24382, 734, 567, 1163, 81, 675, 35934, 202, 203, 24382, 734, 567, 1101, 48099, 1181, 202, 203, 24382, 734, 567, 4740, 1330, 6380, 202, 203, 24382, 734, 567, 294, 295, 702, 3184, 7550, 203, 24382, 734, 567, 310, 529, 11475, 2018, 77, 203, 24382, 734, 567, 1513, 1181, 202, 203, 24382, 734, 567, 45428, 3271, 203, 24382, 734, 567, 1145, 284, 1458, 1181, 203, 24382, 734, 567, 44350, 736, 16651, 202, 203, 24382, 734, 567, 1086, 5572, 16253, 203, 24382, 734, 567, 1580, 349, 86, 1181, 202, 203, 24382, 734, 567, 3891, 472, 546, 45089, 202, 203, 24382, 734, 567, 289, 16665, 387, 9564, 202, 203, 24382, 734, 567, 668, 539, 6380, 203, 24382, 734, 567, 490, 14996, 18771, 628, 989, 38659, 202, 203, 24382, 734, 567, 8764, 35248, 18465, 202, 203, 24382, 734, 567, 25704, 293, 203, 24382, 734, 567, 4843, 457, 9606, 202, 203, 24382, 734, 567, 4843, 1289, 293, 202, 203, 24382, 734, 567, 283, 2236, 1181, 203, 24382, 734, 567, 23829, 6044, 679, 77, 202, 203, 24382, 734, 567, 13956, 10966, 202, 203, 24382, 734, 567, 6008, 1428, 203, 24382, 734, 567, 32216, 560, 4751, 293, 202, 203, 24382, 734, 567, 32216, 27939, 710, 202, 203, 24382, 734, 567, 20439, 45089, 202, 203, 24382, 734, 567, 7269, 870, 293, 202, 203, 24382, 734, 567, 225, 1039, 69, 202, 203, 24382, 734, 567, 12323, 327, 2192, 203, 203, 1987, 17951, 203, 15316, 90, 20373, 23575, 203, 35855, 5488, 2267, 431, 2345, 11047, 2, 0, 44, 576, 41028, 82, 306, 1773, 2562, 8423, 18, 20581, 7747, 318, 225, 69, 2027, 9126, 27449, 3258, 16, 23235, 290, 2010, 4943, 1250, 16, 5141, 291, 18010, 18, 601, 318, 225, 88, 76, 73, 1004, 526, 3173, 7203, 292, 541, 11460, 16, 9965, 326, 543, 720, 2333, 292, 345, 17080, 526, 7231, 3019, 18, 601, 568, 29309, 225, 69, 2692, 292, 609, 25178, 18353, 1315 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 1790, 16, 14766, 606, 16, 1509, 346, 7073, 6208, 11905, 395, 3403, 12299, 1776, 818, 262, 290, 25550, 87, 804, 606, 4138, 25350, 12299, 14076, 330, 16, 2421, 286, 2096, 225, 69, 34375, 42572, 1342, 22694, 18, 203, 203, 2091, 1188, 2636, 18672, 16, 22694, 290, 225, 88, 76, 73, 12741, 48505, 225, 69, 1502, 2945, 292, 685, 16, 1318, 717, 12814, 431, 14766, 606, 291, 225, 88, 76, 73, 361, 13584, 1323, 966, 6713, 3070, 7481, 16, 225, 69, 6921, 6582, 291, 17743, 18, 3624, 3351, 669, 14766, 606, 526, 6579, 16, 458, 3823, 345, 225, 88, 76, 73, 2763, 8302, 644, 10963, 290, 9911, 225, 88, 76, 73, 9221, 292, 225, 69, 631, 2151, 346, 17920, 37360, 632, 18, 5533, 3124, 286, 225, 69, 785, 1628, 16, 22694, 16, 346, 39726, 8096, 16, 18017, 290, 1427, 225, 88, 76, 73, 1118, 292, 14766, 606, 16, 1776, 818, 262, 16, 290, 14076, 330, 18, 22694, 526, 5508, 7157, 13663, 291, 33280, 225, 88, 76, 73, 1491, 25550, 87, 804, 606, 290, 4060, 11703, 16, 517, 14766, 606, 290, 522, 795, 38543, 2678, 25555, 519, 1118, 18, 23990, 225, 88, 76, 73, 7733, 16, 6202, 225, 88, 76, 73, 1627, 4060, 16, 3989, 5508, 346, 22694, 18, 409, 1358, 927, 16, 22694, 290, 522, 9855, 30292, 423, 225, 88, 76, 73, 6921, 6582, 286, 225, 88, 76, 73, 41392, 2446, 7738, 286, 41215, 225, 88, 76, 73, 41392, 2151, 16, 517, 4060, 33852, 624, 18, 11554, 6797, 18573, 4771, 1592, 290, 1560, 4060, 7106, 643, 5588, 291, 225, 88, 76, 73, 6449, 2496, 18, 203, 203, 37794, 2268, 16753, 286, 225, 88, 76, 73, 965, 292, 32104, 9034, 74, 31607, 1423, 80, 290, 431, 629, 5983, 49223, 13013, 18, 731, 385, 21927, 517, 7934, 650, 9859, 325, 1814, 2636, 18672, 326, 864, 47349, 18, 1728, 4972, 981, 225, 88, 76, 73, 1403, 4433, 526, 4368, 291, 17743, 2483, 291, 2827, 18010, 16, 290, 16866, 47413, 2154, 8958, 4467, 292, 225, 88, 76, 73, 18573, 4771, 18, 1507, 377, 2355, 16, 22694, 385, 19061, 286, 2176, 806, 11, 27133, 383, 13869, 4628, 22565, 18, 1238, 16, 458, 2524, 4710, 2898, 423, 225, 88, 76, 73, 15913, 16, 290, 385, 3842, 5434, 423, 11666, 290, 2497, 8662, 431, 2839, 41265, 18, 363, 454, 16643, 431, 225, 88, 76, 73, 41392, 9447, 4368, 16, 458, 385, 2740, 423, 13500, 325, 452, 2698, 18010, 16, 1584, 225, 88, 76, 73, 1627, 30521, 526, 32056, 18, 29125, 595, 325, 867, 387, 16, 22694, 3220, 715, 658, 554, 602, 291, 6442, 18, 203, 203, 4000, 383, 13869, 4628, 16, 22694, 39299, 745, 292, 225, 88, 76, 73, 724, 5887, 292, 35171, 82, 32044, 74, 396, 2943, 3012, 23614, 31, 5758, 9430, 7701, 290, 225, 69, 15622, 11068, 292, 3012, 23614, 1584, 39610, 16, 640, 11090, 413, 16, 290, 11427, 454, 525, 13, 383, 724, 286, 522, 41583, 17680, 16, 29289, 26139, 16, 290, 857, 286, 522, 16487, 16, 40509, 37105, 18, 409, 1184, 16, 4069, 286, 364, 2031, 4668, 2260, 11992, 6082, 34371, 407, 16, 385, 279, 33854, 290, 41729, 292, 522, 25190, 18, 409, 1184, 8154, 524, 22694, 526, 3407, 326, 18691, 3911, 4292, 698, 554, 1653, 325, 3593, 18, 15972, 225, 88, 76, 73, 1184, 16, 11457, 371, 1510, 532, 346, 689, 1323, 903, 6, 290, 4650, 359, 225, 88, 76, 73, 689, 36927, 824, 13670, 366, 6, 292, 4292, 18, 5502, 286, 22694, 526, 25190, 16, 225, 88, 76, 73, 770, 3125, 385, 519, 30561, 14110, 18, 2776, 22694, 979, 449, 7651, 3578, 708, 442, 385, 286, 339, 10839, 16, 522, 689, 77, 82, 341, 300, 2767, 432, 12351, 24615, 318, 33413, 2995, 3060, 286, 13477, 556, 366, 12498, 18, 203, 203, 12241, 291, 797, 12907, 291, 18255, 290, 18369, 16, 225, 3168, 3143, 28, 16, 1318, 9626, 1133, 18255, 290, 17704, 18, 2060, 2372, 9626, 643, 3168, 291, 17138, 16, 22694, 526, 724, 602, 291, 2347, 18, 203, 203, 35268, 981, 22694, 385, 8861, 326, 40049, 16, 225, 88, 76, 73, 41392, 2151, 11107, 286, 427, 950, 44419, 286, 12843, 18, 409, 17348, 5620, 44405, 13079, 225, 88, 76, 73, 3472, 325, 225, 88, 76, 73, 875, 747, 9603, 345, 522, 1310, 291, 225, 88, 76, 73, 3911, 5349, 959, 522, 17348, 20025, 19092, 18, 557, 3918, 16, 22694, 16364, 32643, 13478, 522, 17348, 20025, 325, 1148, 2355, 18255, 18, 203, 203, 1356, 13388, 225, 88, 76, 73, 18573, 4771, 1563, 203, 2598, 225, 88, 76, 73, 595, 292, 22694, 526, 3216, 423, 6442, 16, 7676, 291, 4681, 644, 1620, 1490, 4800, 983, 290, 225, 88, 76, 73, 5303, 644, 6095, 16, 17517, 22694, 526, 3379, 326, 3506, 49777, 18, 1099, 225, 69, 1873, 292, 225, 88, 76, 73, 6449, 19178, 3757, 363, 5559, 354, 16, 225, 88, 76, 73, 18573, 4771, 290, 709, 16878, 9465, 643, 15538, 291, 34367, 18, 557, 225, 69, 2945, 346, 225, 88, 76, 73, 8517, 5604, 292, 34367, 36413, 40345, 325, 832, 2494, 18255, 16, 22694, 6672, 286, 3622, 225, 88, 76, 73, 1627, 526, 7704, 290, 12119, 345, 458, 703, 3678, 3506, 1420, 770, 754, 225, 88, 76, 73, 17319, 1149, 18, 409, 2945, 23077, 225, 88, 76, 73, 836, 326, 225, 88, 76, 73, 4869, 325, 225, 88, 76, 73, 18573, 4771, 286, 339, 15265, 325, 1958, 2827, 18, 1790, 16, 819, 279, 28518, 6579, 458, 3269, 325, 3498, 2827, 16, 22694, 385, 39296, 423, 1502, 6373, 431, 225, 88, 76, 73, 41392, 7655, 16, 225, 69, 4869, 345, 6497, 291, 1128, 1535, 18020, 18, 1542, 5461, 522, 3506, 24081, 291, 16396, 292, 225, 88, 76, 73, 4869, 16, 22694, 6568, 36777, 3012, 37023, 16, 25350, 3012, 37023, 290, 7804, 2144, 73, 8908, 1067, 286, 22850, 290, 30484, 225, 88, 76, 73, 18573, 4771, 291, 7716, 4681, 18, 36777, 3012, 37023, 4833, 2584, 225, 69, 543, 4885, 3506, 1619, 16, 6282, 1694, 225, 88, 76, 73, 28177, 4131, 292, 225, 88, 76, 73, 2839, 526, 6831, 18, 203, 203, 521, 4146, 1297, 291, 225, 88, 76, 73, 1851, 2198, 21104, 325, 2357, 2485, 17003, 18, 409, 2707, 291, 4681, 385, 1203, 30, 8233, 643, 12069, 524, 292, 548 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1957, 19844, 24929, 313, 424, 764, 383, 442, 2983, 573, 314, 3972, 14049, 779, 332, 11600, 3685, 22532, 203, 45, 3067, 2787, 345, 313, 2206, 524, 290, 3997, 8645, 4603, 981, 313, 1934, 286, 502, 1248, 940, 291, 225, 88, 76, 73, 1389, 292, 16123, 290, 22840, 18, 4536, 314, 3629, 6118, 225, 88, 76, 73, 5435, 286, 1582, 345, 724, 891, 3648, 18, 14049, 779, 318, 1142, 1189, 517, 874, 346, 2597, 5275, 660, 318, 225, 69, 2543, 286, 1386, 291, 3245, 292, 225, 69, 4323, 1788, 431, 1788, 2388, 1149, 18, 1238, 352, 87, 46061, 383, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 3603, 517, 357, 352, 87, 449, 45008, 18, 774, 46, 47, 203, 34325, 555, 40585, 324, 48439, 2209, 384, 16, 3008, 16, 1519, 30, 6788, 3288, 1970, 27, 203, 6385, 1001, 326, 225, 69, 10070, 3918, 18, 203, 1200, 318, 670, 314, 3867, 1870, 517, 819, 8434, 225, 88, 76, 73, 1319, 292, 16123, 314, 813, 286, 2688, 290, 10107, 1392, 477, 352, 551, 15494, 20269, 352, 88, 2688, 527, 8834, 345, 5832, 290, 9590, 979, 551, 4655, 262, 8181, 18, 225, 22501, 2, 0, 5959, 18, 88, 397, 203, 4665, 29, 5959, 18, 25738, 203, 1371, 279, 3363, 5272, 16, 357, 905, 339, 225, 88, 76, 73, 3363, 292, 225, 88, 76, 73, 4607, 3131, 3235, 10847, 225, 88, 76, 73, 3235, 1319, 6291, 423, 225, 88, 76, 73, 9052, 2601, 18, 409, 3552, 33983, 783, 449, 2200, 225, 88, 76, 73, 9052, 2601, 345, 10004, 286, 225, 88, 76, 73, 1150, 3552, 1319, 18, 1238, 882, 2, 0, 49788, 4195, 203, 1543, 2968, 1651, 442, 2111, 286, 1378, 1803, 952, 313, 502, 449, 427, 9443, 286, 4844, 357, 423, 442, 1803, 18, 203, 19436, 203, 26763, 203, 95, 23, 97, 10633, 25, 97, 203, 5089, 343, 1190, 10450, 292, 442, 2111, 31102, 1190, 9086, 292, 442, 2111, 203, 2428, 30, 203, 16499, 1143, 3348, 1143, 203, 5089, 343, 1190, 203, 3595, 1629, 8753, 371, 7112, 326, 442, 2111, 203, 3595, 1084, 80, 3270, 658, 3080, 9397, 16, 290, 41521, 6927, 7442, 290, 500, 43658, 427, 652, 1316, 286, 1290, 803, 2358, 7380, 325, 286, 225, 69, 2874, 2080, 292, 3812, 18, 1790, 16, 442, 318, 786, 2736, 225, 88, 76, 73, 1715, 1966, 286, 1474, 7433, 7491, 290, 1420, 6357, 8264, 18, 6466, 292, 1848, 25381, 346, 5751, 9092, 13820, 16, 479, 9421, 22637, 14542, 16, 13026, 16, 290, 864, 17, 445, 31958, 371, 961, 2387, 1249, 10603, 346, 279, 3923, 1319, 292, 14432, 31800, 16, 346, 1308, 388, 786, 2688, 291, 9092, 3554, 619, 4674, 18, 738, 4225, 18625, 225, 69, 12234, 4037, 326, 2597, 6109, 433, 325, 1924, 8017, 5259, 2557, 359, 225, 88, 76, 73, 1319, 292, 31800, 619, 26324, 4774, 286, 1405, 16, 290, 225, 88, 76, 73, 31800, 1620, 543, 21236, 31244, 18, 203, 521, 15512, 261, 4195, 1512, 383, 16738, 1495, 385, 15807, 291, 8503, 3868, 286, 2500, 225, 88, 76, 73, 49612, 399, 2597, 4037, 431, 4450, 631, 6927, 5882, 31958, 7442, 16, 500, 43658, 16, 33560, 2557, 16, 290, 2991, 31958, 345, 1118, 12444, 11569, 21791, 3755, 326, 1924, 7433, 346, 864, 9486, 290, 864, 2358, 18, 1867, 2717, 318, 286, 2359, 345, 1924, 2597, 307, 43145, 371, 1772, 325, 2597, 5866, 345, 6109, 2783, 7557, 286, 24472, 519, 3983, 1808, 3080, 9397, 292, 49200, 290, 21236, 31244, 8017, 5259, 7433, 18, 707, 568, 18439, 14287, 2707, 292, 442, 1734, 1315, 30, 15937, 225, 88, 76, 73, 15818, 292, 11569, 2597, 291, 25221, 11806, 4860, 5003, 16, 1848, 279, 1227, 3481, 1735, 2121, 286, 1405, 225, 88, 76, 73, 10290, 292, 7901, 291, 225, 88, 76, 73, 11569, 2597, 1389, 16, 290, 1249, 531, 1734, 6302, 359, 225, 88, 76, 73, 4177, 326, 1848, 6287, 33732, 292, 1924, 1950, 4728, 18, 2, 0, 21062, 787, 8977, 483, 1261, 35, 314, 715, 14493, 225, 88, 76, 73, 2597, 16, 517, 314, 424, 352, 88, 2471, 286, 4429, 524, 708, 286, 764, 326, 290, 942, 3794, 1102, 203, 40, 700, 749, 2429, 3275, 16, 2489, 16, 1136, 30, 6731, 321, 1970, 22, 203, 89, 18711, 1261, 318, 554, 292, 225, 88, 76, 73, 1317, 3064, 286, 787, 18, 1838, 371, 313, 1536, 326, 827, 225, 88, 76, 73, 32372, 318, 14493, 35, 203, 4845, 348, 1286, 380, 2429, 3275, 16, 2489, 16, 1136, 30, 6731, 321, 1970, 23, 203, 46278, 314, 1411, 1142, 882, 4429, 524, 708, 286, 787, 357, 2459, 517, 225, 69, 1279, 292, 6505, 1209, 7909, 530, 4520, 345, 458, 7251, 706, 292, 357, 18, 225, 69, 604, 13622, 16, 314, 4148, 286, 339, 28589, 8034, 650, 458, 2632, 530, 2477, 952, 1102, 761, 1102, 3037, 3447, 30, 3037, 1485, 1070, 30, 3264, 13874, 265, 943, 352, 88, 2920, 325, 522, 2477, 8581, 1102, 48593, 203, 40, 700, 749, 2429, 3275, 16, 2489, 16, 1136, 30, 6731, 321, 1970, 24, 203, 1647, 502, 313, 1940, 431, 1536, 326, 3794, 1102, 314, 787, 442, 1167, 479, 225, 88, 76, 73, 595, 18, 3725, 530, 290, 314, 459, 984, 313, 225, 88, 76, 73, 25360, 18, 203, 40, 700, 749, 2429, 3275, 16, 2489, 16, 1136, 30, 6731, 321, 1970, 25, 203, 1647, 502, 313, 1940, 431, 1536, 326, 3794, 1102, 314, 787, 442, 1167, 479, 225, 88, 76, 73, 595, 18, 203, 5818, 313, 291, 2247, 292, 225, 69, 1637, 388, 225, 69, 3552, 46766, 2894, 318, 225, 69, 1889, 292, 3794, 2130, 16, 378, 7211, 18, 1790, 691, 313, 352, 264, 1146, 1086, 5456, 3323, 282, 715, 3725, 530, 346, 225, 88, 76, 73, 2257, 290, 314, 352, 635, 339, 2675, 286, 984, 313, 225, 88, 76, 73, 25360, 18, 203, 15841, 318, 3025, 313, 459, 623, 650, 313, 1227, 225, 88, 76, 73, 3552, 290, 771, 286, 225, 88, 76, 73, 21852, 1241, 326, 18292, 18, 203, 1624, 313, 821, 2130, 16, 650, 313, 1227, 225, 88, 76, 73, 32372, 290, 894, 357, 527, 313, 424, 2395, 225, 88, 76, 73, 3053, 313, 703, 664, 286, 3450, 357, 286, 16, 290, 313, 371, 1316, 286, 4188, 573, 4656, 313, 1937, 18, 203, 14780, 330 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 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 ]
[ 658, 1136, 806, 292, 1185, 291, 1383, 15613, 954, 6560, 1950, 16, 314, 385, 652, 7367, 326, 1317, 2516, 423, 2365, 941, 954, 915, 225, 69, 1477, 313, 623, 1171, 292, 1616, 3379, 517, 449, 670, 313, 1536, 326, 664, 1317, 1376, 3354, 16, 1317, 1386, 954, 225, 88, 76, 73, 1317, 2269, 3379, 16, 313, 4973, 629, 388, 609, 1228, 517, 346, 225, 88, 76, 73, 723, 292, 18675, 4676, 45, 314, 385, 1316, 286, 623, 670, 314, 3855, 954, 1902, 357, 526, 543, 720, 670, 314, 3855, 314, 1381, 4084, 286, 18675, 4676, 45, 326, 961, 541, 5097, 286, 623, 225, 88, 76, 73, 910, 1616, 670, 314, 3855, 18, 203, 6385, 286, 10403, 18, 2160, 3192, 428, 10233, 3166, 596, 644, 1353, 1171, 292, 4320, 1054, 423, 9467, 346, 530, 658, 724, 1015, 326, 3570, 16, 23507, 3570, 346, 15376, 4723, 954, 857, 2243, 2614, 225, 88, 76, 73, 1182, 16, 313, 427, 652, 225, 69, 6640, 292, 1118, 1133, 225, 88, 76, 73, 1250, 596, 318, 8698, 954, 225, 88, 76, 73, 6944, 596, 318, 1536, 326, 225, 69, 1616, 2516, 18, 203, 45, 1381, 1335, 225, 88, 76, 73, 3758, 1185, 504, 652, 5447, 346, 18675, 4676, 45, 16, 5101, 1294, 299, 8066, 560, 1780, 550, 203, 15046, 19037, 498, 3828, 16, 21350, 511, 39049, 203, 1109, 2943, 1185, 346, 31785, 1069, 13793, 69, 290, 633, 962, 383, 18675, 4676, 45, 1154, 551, 13707, 326, 21350, 347, 39049, 16, 4409, 504, 3758, 652, 2910, 18, 314, 703, 664, 5843, 225, 88, 76, 73, 1185, 383, 1046, 7767, 292, 551, 13707, 1149, 18, 2, 0, 829, 3024, 12269, 16, 660, 318, 3496, 9132, 658, 225, 88, 76, 73, 8642, 10493, 366, 11, 3693, 526, 1095, 286, 1127, 225, 69, 8970, 22945, 279, 16546, 8320, 23508, 292, 2171, 18, 26776, 526, 2212, 42928, 4593, 18, 203, 21449, 5725, 26776, 2, 0, 20934, 318, 225, 88, 76, 73, 797, 17, 8393, 46759, 326, 8850, 18, 14406, 568, 339, 1013, 359, 616, 37, 286, 1343, 550, 4522, 16, 388, 225, 69, 2211, 3249, 616, 20934, 3291, 2, 0, 47, 1286, 10532, 16, 596, 504, 14634, 225, 88, 76, 73, 11688, 8480, 16097, 16, 459, 1877, 225, 88, 76, 73, 2089, 30450, 4406, 345, 1405, 660, 290, 708, 458, 12265, 803, 3345, 827, 1162, 609, 32784, 2022, 322, 1131, 427, 652, 18, 731, 318, 325, 225, 69, 962, 383, 7662, 87, 1571, 35411, 8150, 396, 15907, 3803, 13, 4246, 326, 3082, 225, 88, 76, 73, 4104, 45657, 525, 4531, 291, 225, 88, 76, 73, 1004, 18, 203, 5270, 556, 1286, 10532, 30, 203, 7736, 1255, 30450, 4406, 326, 658, 1872, 806, 16, 10532, 423, 3620, 13795, 16, 504, 31864, 282, 225, 88, 76, 73, 8480, 292, 5963, 16, 11313, 290, 12843, 16, 827, 458, 5476, 631, 3860, 290, 14232, 3860, 345, 643, 6951, 286, 786, 2736, 2431, 18, 7710, 7792, 291, 2340, 479, 225, 88, 76, 73, 3690, 3317, 16, 10532, 504, 568, 652, 225, 69, 3796, 286, 803, 1403, 8480, 326, 664, 17, 14708, 32784, 2022, 322, 1131, 596, 371, 3357, 291, 4243, 45056, 2308, 291, 519, 2401, 13764, 18, 203, 49886, 504, 652, 12956, 346, 797, 4406, 3249, 819, 950, 16, 18955, 397, 86, 9316, 616, 47, 1286, 41106, 550, 290, 18955, 397, 86, 9316, 616, 58, 5573, 1076, 5794, 371, 41330, 423, 556, 14529, 13404, 16, 596, 15130, 2126, 286, 5242, 877, 50232, 754, 522, 932, 291, 225, 88, 76, 73, 11102, 4321, 18, 5383, 16, 522, 884, 1240, 30450, 18969, 3667, 770, 3982, 17, 3089, 2847, 8656, 44433, 282, 423, 479, 13162, 292, 225, 88, 76, 73, 1004, 345, 458, 16871, 2789, 775, 290, 11166, 18, 203, 56, 6968, 2, 0, 521, 35082, 598, 8797, 19070, 318, 2404, 325, 279, 35630, 7410, 18, 26, 7802, 3512, 292, 225, 88, 76, 73, 2217, 3445, 17, 3482, 42579, 4692, 754, 225, 88, 76, 73, 2699, 3522, 15692, 31231, 7649, 423, 31549, 24401, 286, 35082, 598, 8797, 18, 1238, 371, 786, 3254, 8268, 18, 1238, 318, 786, 4902, 18, 3747, 225, 88, 76, 73, 3647, 1695, 16, 225, 69, 1946, 7802, 3054, 423, 225, 88, 76, 73, 14262, 2364, 325, 225, 69, 4794, 17, 72, 1326, 2441, 16, 318, 2838, 6323, 431, 1063, 2229, 4728, 18, 43191, 1369, 326, 479, 519, 1551, 18, 738, 2513, 1817, 8227, 398, 1518, 346, 313, 290, 2158, 2030, 12422, 1257, 423, 13632, 18, 203, 10776, 371, 3635, 314, 4126, 346, 551, 4543, 18, 314, 1919, 985, 949, 1248, 798, 16, 541, 314, 2765, 225, 69, 8417, 2498, 431, 551, 19555, 49533, 16, 596, 314, 1033, 1142, 979, 225, 69, 877, 1616, 15891, 670, 225, 88, 76, 73, 4692, 385, 1142, 664, 18, 1108, 2164, 291, 786, 1935, 1374, 18, 203, 45, 2755, 1244, 225, 69, 2497, 19361, 17, 645, 1891, 17020, 291, 225, 88, 76, 73, 1358, 1302, 18, 203, 2943, 3635, 30, 203, 49, 712, 1136, 16, 225, 88, 76, 73, 724, 595, 314, 6204, 326, 1257, 203, 3111, 2509, 2521, 5736, 785, 225, 88, 76, 73, 7797, 291, 225, 88, 76, 73, 3529, 1500, 16, 2130, 573, 225, 88, 76, 73, 46642, 314, 1837, 1257, 423, 18, 203, 18565, 1703, 36741, 1060, 225, 88, 76, 73, 3300, 1695, 18, 203, 39, 15342, 3703, 2521, 383, 7802, 3275, 18, 20941, 291, 21797, 431, 225, 69, 18286, 1250, 16, 357, 504, 652, 11138, 290, 3218, 286, 551, 571, 24228, 3326, 2629, 286, 2969, 18, 203, 521, 2521, 318, 326, 4600, 4638, 225, 88, 76, 73, 770, 563, 17, 6939, 909, 408, 821, 345, 2747, 985, 225, 69, 36626, 6640, 16, 11358, 17, 273, 16, 524, 3409, 388, 4692, 19993, 18, 203, 521, 6640, 658, 225, 88, 76, 73, 2521, 3737, 715, 225, 69, 1308, 24925, 18, 396, 3804, 641, 292, 225, 88, 76, 73, 1619, 3155, 203, 6050, 13623, 2897, 530, 2158, 4322, 292, 442, 3527, 290, 3884, 286, 3991, 554, 346, 530, 291, 357, 18, 409, 1358, 1220, 4322, 643, 2498, 423, 442, 1150, 3053, 18, 203, 2628, 1966, 286, 225, 88, 76, 73, 5754, 4716, 408, 644, 291, 17810, 16, 225, 69, 6640, 345, 385, 1036, 385, 16222, 1576, 18, 1783, 25360, 6096, 624, 18 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 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, 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 ]
[ 557, 1920, 16, 10148, 50060, 2154, 279, 430, 2847, 16076, 292, 225, 88, 76, 73, 1644, 4339, 326, 6424, 290, 35571, 7436, 18, 203, 203, 9035, 969, 290, 2528, 225, 203, 18377, 50060, 20658, 633, 13364, 4206, 383, 225, 88, 76, 73, 9318, 4339, 292, 5852, 291, 7601, 18, 1236, 13896, 2126, 291, 5769, 5813, 290, 7640, 291, 6485, 346, 633, 47896, 292, 4860, 18, 9931, 633, 13364, 3658, 16, 10148, 50060, 20658, 633, 5432, 526, 290, 633, 10294, 291, 5769, 5813, 383, 22765, 1495, 18, 1236, 7051, 811, 225, 88, 76, 73, 29270, 292, 5358, 556, 18, 1890, 457, 352, 76, 34314, 16, 827, 780, 2389, 290, 7548, 4738, 49954, 450, 6495, 326, 2778, 787, 291, 4002, 4359, 5866, 18, 1236, 2406, 325, 3082, 31205, 76, 768, 1300, 17, 11125, 1632, 6631, 41496, 20101, 3089, 396, 45355, 13, 44225, 345, 424, 48064, 9853, 15928, 16, 279, 11069, 29280, 345, 13847, 33709, 326, 11069, 1056, 19318, 290, 12938, 18, 1979, 9592, 633, 5432, 526, 291, 4988, 16, 10148, 50060, 2314, 18357, 225, 88, 76, 73, 946, 292, 4002, 4359, 49954, 2367, 346, 19059, 43, 12917, 9230, 541, 345, 544, 882, 339, 10815, 286, 4973, 519, 12917, 6940, 1912, 2593, 225, 88, 76, 73, 3035, 286, 32081, 346, 225, 88, 76, 73, 991, 380, 450, 290, 3216, 11500, 698, 225, 88, 76, 73, 3035, 18, 1236, 385, 1316, 286, 946, 49954, 2367, 345, 10665, 736, 405, 19059, 43, 290, 2734, 624, 383, 21815, 3265, 2608, 286, 3695, 16, 290, 857, 5617, 1587, 405, 624, 1912, 544, 7553, 383, 21815, 3265, 2130, 1148, 18, 24, 18, 10148, 50060, 3500, 633, 10294, 291, 4589, 18, 203, 203, 10776, 633, 10294, 2003, 16, 10148, 50060, 2483, 633, 41315, 17562, 383, 225, 88, 76, 73, 9318, 4339, 292, 5852, 16, 1376, 811, 225, 88, 76, 73, 29270, 292, 5358, 411, 7308, 18, 1236, 2406, 291, 225, 88, 76, 73, 3625, 292, 22105, 7436, 26681, 49954, 21853, 4002, 4359, 4049, 286, 2611, 1700, 43153, 28885, 396, 16813, 31530, 13, 286, 1048, 10011, 12423, 8841, 4151, 18, 1236, 2387, 225, 88, 76, 73, 49954, 2367, 1653, 325, 633, 3529, 548, 1249, 21815, 17, 29521, 49954, 2367, 346, 225, 88, 76, 73, 19059, 43, 12200, 286, 3349, 11069, 655, 2822, 1574, 16, 517, 346, 225, 88, 76, 73, 2657, 2955, 286, 2611, 1005, 31530, 286, 225, 88, 76, 73, 991, 380, 450, 292, 225, 88, 76, 73, 3035, 18, 10148, 50060, 568, 3682, 286, 795, 17, 14659, 225, 88, 76, 73, 12239, 11504, 292, 225, 88, 76, 73, 12705, 886, 292, 316, 24275, 7436, 13975, 2009, 18, 10148, 50060, 3500, 633, 41315, 2003, 291, 4109, 18, 203, 203, 10449, 290, 1734, 225, 203, 18377, 50060, 385, 6568, 286, 225, 88, 76, 73, 6752, 383, 12733, 1495, 291, 4109, 16, 4242, 279, 10529, 7458, 292, 14016, 42770, 291, 225, 88, 76, 73, 12733, 1925, 292, 7436, 21367, 9448, 18, 1099, 225, 88, 76, 73, 9784, 30264, 292, 225, 88, 76, 73, 10148, 50060, 5914, 16, 10148, 50060, 526, 1734, 1167, 4632, 325, 4450, 4738, 22179, 1738, 87, 326, 4002, 4359, 2557, 754, 7960, 13992, 292, 3035, 1750, 290, 8464, 708, 803, 13992, 371, 619, 896, 2121, 431, 5443, 12110, 18, 557, 3008, 16, 10148, 50060, 385, 6568, 286, 40476, 291, 225, 88, 76, 73, 3625, 292, 18580, 383, 12733, 6424, 1925, 359, 761, 359, 7964, 7682, 291, 225, 88, 76, 73, 3625, 292, 603, 13718, 20295, 383, 6938, 6978, 526, 6984, 18, 1456, 442, 595, 780, 5476, 225, 69, 30256, 32233, 345, 3716, 225, 88, 76, 73, 1619, 292, 633, 1734, 1167, 18, 1979, 4396, 345, 4958, 1644, 1778, 427, 225, 88, 76, 73, 4021, 8641, 5026, 21544, 3270, 16, 780, 2483, 8398, 325, 3542, 573, 4017, 14959, 1380, 914, 325, 225, 88, 76, 73, 41457, 1944, 8641, 5026, 5988, 292, 4958, 1644, 1778, 10913, 609, 12980, 3074, 346, 225, 88, 76, 73, 2717, 292, 4002, 946, 15179, 345, 7541, 291, 225, 88, 76, 73, 1924, 18, 203, 203, 829, 2862, 16, 10148, 50060, 2154, 279, 14414, 7458, 292, 45835, 7436, 383, 225, 88, 76, 73, 2086, 1495, 292, 1063, 2229, 1027, 1146, 5736, 633, 10529, 4534, 9892, 383, 12733, 6424, 1925, 18, 1236, 2406, 291, 225, 88, 76, 73, 16705, 1925, 292, 7436, 827, 633, 3061, 3838, 286, 1635, 325, 225, 88, 76, 73, 10206, 17717, 10268, 326, 15208, 5546, 8641, 5026, 359, 761, 359, 4738, 20133, 286, 39794, 8641, 5026, 41457, 13233, 18, 203, 203, 829, 2489, 16, 10148, 50060, 2154, 225, 69, 7458, 383, 42292, 1495, 291, 225, 88, 76, 73, 3049, 292, 7436, 3625, 292, 22105, 7436, 18, 2325, 3061, 4774, 286, 1635, 325, 4450, 4738, 2998, 36882, 26960, 4002, 4359, 5866, 16, 346, 279, 10614, 325, 7254, 326, 2898, 292, 15208, 5546, 8641, 5026, 18, 203, 203, 829, 1408, 286, 633, 6752, 2067, 290, 2450, 359, 225, 88, 76, 73, 9784, 30264, 292, 225, 88, 76, 73, 10148, 50060, 5914, 383, 42292, 16, 10148, 50060, 318, 568, 225, 69, 2260, 292, 225, 88, 76, 73, 1644, 22105, 4668, 16, 1644, 4339, 292, 22105, 19276, 16, 45835, 7436, 4668, 16, 18697, 4666, 4668, 16, 290, 318, 279, 14414, 13304, 326, 225, 88, 76, 73, 1294, 41221, 292, 45835, 7436, 423, 225, 88, 76, 73, 45835, 7436, 4668, 18, 203, 203, 14715, 1186, 5546, 8641, 5026, 4002, 1750, 225, 203, 18377, 50060, 526, 3061, 8130, 325, 2449, 2614, 4738, 14924, 10268, 326, 15208, 5546, 8641, 5026, 290, 9508, 2998, 36882, 26960, 4002, 4359, 2557, 326, 2898, 18, 20899, 5546, 8641, 5026, 318, 225, 88, 76, 73, 745, 2078, 5026, 13914, 4958, 1644, 1778, 290, 357, 568, 4819, 225, 88, 76, 73, 745, 2298, 286, 1735, 290, 1770, 1966, 286, 225, 88, 76, 73, 3900, 22179, 620, 366, 18, 557, 2730, 16, 10148, 50060, 290, 633, 3061, 1100, 345, 13234, 3375, 17, 21, 7705, 225, 69, 19993, 326, 15208, 5546, 8641, 5026, 359, 761, 359, 225, 69, 2778, 17717, 3161, 326, 5681, 18, 4631, 548, 385, 3179, 291, 225, 88, 76, 73, 39471, 292, 225, 88, 76, 73, 2090, 5029, 292, 9448, 291, 2730, 18, 203, 203, 10776, 442, 4396, 16, 10148, 50060, 290, 633, 962, 9039, 286, 4773, 279, 6095 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 73, 1914, 527, 385, 18, 3273, 543, 4818, 1027, 551, 44647, 15186, 291, 225, 88, 76, 73, 6218, 1171, 18, 6814, 417, 963, 1185, 16, 18026, 19, 2005, 298, 4814, 300, 2246, 16, 290, 786, 20551, 277, 10957, 18, 203, 15329, 5886, 1958, 16, 1910, 203, 25, 203, 988, 499, 286, 345, 1935, 23984, 325, 5277, 44, 952, 292, 531, 1310, 14083, 10902, 44589, 10245, 27959, 18, 731, 318, 541, 7279, 39981, 16, 5097, 290, 11690, 18, 996, 1334, 318, 3660, 16, 458, 1071, 1995, 291, 522, 1420, 286, 744, 357, 1054, 18, 707, 3277, 522, 8026, 290, 1156, 12981, 359, 225, 69, 2605, 18, 5101, 10902, 44589, 16, 326, 1230, 2158, 1028, 292, 443, 5, 203, 45955, 411, 15776, 4724, 31290, 13152, 1872, 16, 1910, 203, 25, 203, 45, 5287, 225, 69, 936, 383, 9125, 45837, 290, 544, 427, 652, 891, 5, 1025, 2039, 819, 551, 3340, 544, 3269, 530, 225, 69, 16691, 7874, 2145, 1745, 1570, 1891, 18, 1832, 936, 385, 291, 891, 4482, 290, 544, 874, 16222, 225, 88, 76, 73, 936, 5, 314, 3067, 2787, 624, 5, 203, 5444, 12100, 378, 12351, 2336, 13152, 2116, 16, 1910, 203, 21, 203, 45, 943, 352, 88, 2787, 225, 88, 76, 73, 1310, 4932, 16, 225, 88, 76, 73, 1310, 8886, 1411, 2377, 330, 527, 325, 551, 936, 8857, 16, 2994, 949, 543, 345, 554, 1285, 290, 1146, 4818, 18, 1832, 936, 385, 383, 225, 88, 76, 73, 12289, 326, 2340, 225, 69, 1285, 16, 715, 286, 1100, 225, 88, 76, 73, 2163, 18, 314, 1875, 551, 936, 785, 326, 225, 69, 786, 525, 325, 225, 88, 76, 73, 1022, 81, 33487, 290, 819, 544, 928, 385, 4659, 16, 1146, 744, 225, 88, 76, 73, 1150, 7743, 18, 314, 1825, 352, 88, 2787, 442, 12289, 326, 1310, 18, 203, 2997, 46074, 2407, 2439, 13152, 1148, 16, 1910, 203, 21, 203, 4139, 318, 551, 2163, 30, 314, 5287, 225, 69, 2211, 631, 8771, 23504, 8646, 423, 9125, 45837, 8771, 291, 4808, 34650, 18, 24014, 819, 314, 5287, 357, 16, 314, 6674, 660, 318, 225, 69, 394, 2999, 16, 388, 22463, 1986, 291, 225, 88, 76, 73, 10509, 291, 225, 88, 76, 73, 11708, 526, 1752, 396, 441, 318, 6911, 650, 225, 88, 76, 73, 4881, 318, 325, 384, 859, 314, 714, 3119, 286, 2466, 442, 318, 279, 1709, 2163, 286, 3473, 18, 1605, 314, 1837, 357, 286, 225, 69, 8771, 12289, 396, 2063, 9125, 45837, 359, 660, 371, 7049, 1689, 551, 3053, 13, 314, 385, 2705, 225, 88, 76, 73, 1986, 2459, 882, 449, 339, 3606, 16, 388, 691, 357, 882, 339, 3606, 16, 225, 88, 76, 73, 1986, 318, 689, 21861, 2656, 15299, 35, 3728, 16, 225, 88, 76, 73, 836, 286, 5021, 225, 88, 76, 73, 7034, 7080, 291, 225, 88, 76, 73, 2290, 318, 823, 400, 391, 6209, 30, 225, 69, 9980, 33535, 1054, 698, 225, 88, 76, 73, 10959, 388, 5415, 28746, 18, 314, 5120, 985, 339, 7542, 691, 357, 715, 28004, 749, 706, 25527, 18, 314, 568, 714, 449, 698, 8325, 7034, 7080, 11920, 345, 1335, 689, 27055, 8325, 2656, 1838, 35, 203, 18846, 13152, 1025, 16, 1910, 203, 25, 203, 5753, 5287, 531, 1361, 631, 5111, 423, 803, 6989, 18, 707, 2463, 1230, 2524, 891, 1028, 290, 16336, 18, 8525, 16, 531, 8912, 2000, 385, 3895, 5097, 7247, 346, 8722, 6477, 15744, 16, 4446, 443, 7348, 18, 1728, 1185, 3682, 443, 2395, 225, 88, 76, 73, 910, 3897, 290, 2530, 326, 531, 2321, 1551, 16, 290, 225, 88, 76, 73, 936, 385, 1819, 16, 30123, 290, 2629, 326, 531, 2441, 3240, 18, 8525, 959, 1336, 408, 882, 787, 225, 88, 76, 73, 798, 631, 2134, 290, 9195, 346, 5612, 18, 332, 891, 2605, 1185, 5, 203, 4331, 4808, 2473, 353, 373, 10148, 4600, 16, 1910, 203, 25, 203, 24318, 8198, 3757, 8642, 16, 5069, 290, 823, 5097, 18, 3677, 2605, 1310, 18, 314, 459, 339, 14475, 18, 203, 15698, 5110, 10148, 1519, 16, 1910, 203, 21, 203, 16054, 8771, 4808, 34650, 314, 1015, 2152, 286, 12289, 290, 11081, 3986, 551, 1015, 286, 4556, 4932, 290, 3045, 18, 266, 23341, 2320, 3126, 270, 266, 471, 16036, 623, 551, 1015, 18, 3440, 314, 1468, 581, 1381, 700, 23001, 310, 7772, 6759, 1319, 30, 30073, 24, 4219, 7988, 952, 314, 2897, 291, 398, 1622, 1913, 3045, 18, 22952, 282, 2320, 3126, 270, 266, 471, 16036, 1075, 530, 581, 442, 936, 1913, 1108, 1392, 264, 291, 3896, 1913, 1366, 458, 1182, 530, 1378, 554, 1381, 700, 23001, 310, 12671, 554, 2836, 458, 3433, 2840, 431, 2368, 1910, 8771, 31923, 23001, 17, 41, 12671, 8920, 11863, 30, 1175, 6036, 16, 24, 4665, 9125, 45837, 9115, 30, 1175, 5777, 16, 28, 6188, 24697, 30, 685, 15054, 56, 47, 21, 32867, 22, 49, 6486, 4665, 40756, 9371, 10922, 30, 30073, 4665, 40756, 48584, 30, 4790, 4367, 3582, 17043, 3710, 17, 7291, 267, 17078, 30, 3260, 1507, 39526, 21391, 505, 30, 384, 314, 1468, 950, 581, 2543, 290, 1297, 16328, 2836, 952, 314, 943, 352, 88, 813, 286, 5264, 551, 595, 286, 499, 823, 1856, 1576, 423, 551, 1577, 290, 225, 88, 76, 73, 2543, 318, 658, 720, 408, 1842, 1708, 1913, 731, 928, 225, 88, 76, 73, 2543, 345, 984, 291, 2368, 1913, 396, 3591, 18977, 13, 1913, 1979, 314, 744, 3196, 2836, 458, 1015, 530, 384, 17, 23, 1631, 1913, 731, 2705, 530, 2836, 314, 1381, 286, 984, 527, 383, 12289, 1913, 1728, 4651, 4042, 286, 821, 443, 18, 731, 1411, 4718, 581, 1297, 16328, 22846, 8, 1913, 1366, 458, 5455, 5994, 377, 18, 564, 3242, 18, 1605, 408, 5459, 2836, 408, 2897, 225, 88, 76, 73, 936, 25592, 318, 12905, 4638, 314, 1468, 950, 442, 936, 318, 12747, 388, 290, 717, 1735, 3054, 2836, 458, 928, 442, 936, 318, 14862, 3054, 286, 1036, 18, 396, 14991, 24942, 952, 314, 2897, 823, 12409, 2593, 664, 12747, 936, 708, 314, 688, 952, 314, 2403, 798, 12289, 290, 1735, 3054, 832, 17, 25, 11341, 1850, 7747, 290, 24260, 984, 22846, 8, 326, 1297, 16328, 18, 707, 1468, 950, 581, 442, 458, 928, 408, 424, 1842, 18, 731, 459, 723, 29291, 291, 551, 1763, 458, 4434 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 352, 87, 9405, 325, 225, 88, 76, 73, 1297, 345, 22969, 225, 88, 76, 73, 3223, 19, 17166, 7680, 18, 738, 16, 318, 225, 69, 12851, 1408, 18, 2, 0, 48, 21352, 225, 88, 76, 73, 910, 11079, 3559, 1689, 28193, 20576, 23325, 25626, 286, 398, 965, 318, 786, 5926, 449, 225, 88, 76, 73, 745, 5800, 836, 286, 4785, 325, 225, 69, 11079, 1167, 18, 1238, 371, 225, 69, 1319, 292, 1263, 2917, 4769, 286, 4167, 981, 313, 4785, 827, 286, 8064, 291, 4120, 18, 1218, 981, 408, 32263, 698, 345, 20531, 16, 1424, 352, 87, 724, 2072, 670, 225, 88, 76, 73, 2450, 292, 225, 69, 6581, 12359, 318, 291, 531, 1489, 1056, 16, 1511, 346, 225, 88, 76, 73, 11079, 3658, 5804, 345, 371, 1349, 18, 203, 41617, 24040, 13349, 42486, 203, 41617, 15089, 371, 225, 88, 76, 73, 4218, 15234, 291, 225, 88, 76, 73, 3009, 1028, 4359, 1056, 18, 29272, 87, 2651, 291, 798, 1046, 3009, 6259, 16, 955, 359, 28193, 20576, 23325, 11154, 16, 1201, 4847, 16, 31525, 17454, 16, 11079, 4354, 290, 1465, 76, 73, 1883, 10373, 292, 225, 69, 6581, 12359, 459, 339, 11680, 325, 519, 1616, 388, 1389, 292, 5108, 1509, 346, 827, 544, 13618, 92, 22290, 203, 27661, 1028, 203, 27661, 411, 10000, 87, 16, 39861, 50, 87, 290, 12359, 48863, 203, 829, 12366, 3533, 290, 519, 3366, 203, 44840, 1489, 5187, 290, 11352, 203, 42162, 272, 346, 225, 69, 543, 5015, 3658, 783, 427, 288, 1382, 16, 34030, 12287, 16, 290, 23883, 290, 1770, 7003, 19887, 388, 7474, 18, 203, 42162, 277, 48536, 13672, 203, 1926, 371, 3080, 6919, 1349, 286, 1620, 225, 69, 6581, 12359, 18, 1009, 286, 1620, 279, 29272, 16, 225, 69, 2863, 1381, 3818, 279, 225, 69, 575, 286, 225, 69, 7205, 388, 9168, 2067, 16, 388, 339, 543, 6057, 291, 225, 88, 76, 73, 1616, 1297, 18, 203, 16049, 352, 87, 18, 409, 5432, 292, 4860, 291, 18885, 396, 5102, 50, 13, 318, 6969, 225, 69, 797, 602, 1167, 819, 39197, 225, 88, 76, 73, 19213, 50, 18, 409, 8920, 50, 1167, 2221, 33162, 2003, 16, 326, 1953, 286, 1620, 225, 69, 12359, 18362, 388, 14398, 325, 6236, 16, 2255, 388, 3958, 18, 203, 5663, 225, 69, 13633, 2863, 504, 6228, 554, 292, 225, 88, 76, 73, 2304, 6919, 16, 780, 388, 458, 1381, 1290, 225, 88, 76, 73, 2090, 3721, 11767, 43465, 34934, 326, 24349, 38540, 396, 10875, 36530, 17, 33764, 13, 541, 359, 286, 1620, 8939, 18, 21505, 609, 3572, 326, 17502, 1626, 423, 1627, 286, 1627, 16, 541, 943, 352, 88, 4926, 286, 1976, 225, 88, 76, 73, 8850, 2928, 292, 11079, 326, 654, 1627, 3572, 18, 203, 42723, 50, 290, 411, 10000, 6953, 203, 1926, 371, 7463, 797, 22513, 2491, 841, 7489, 587, 3884, 345, 1369, 2003, 286, 1620, 2459, 279, 411, 10000, 388, 279, 39861, 50, 18, 409, 554, 345, 783, 339, 3846, 291, 225, 88, 76, 73, 28536, 595, 5832, 16, 6969, 581, 377, 602, 16, 318, 225, 88, 76, 73, 9767, 388, 22188, 1619, 18, 409, 384, 348, 2724, 318, 286, 1327, 343, 352, 87, 16877, 291, 11079, 18, 1911, 2669, 225, 88, 76, 73, 1671, 292, 36674, 313, 3678, 16, 357, 905, 339, 8850, 6339, 290, 17254, 431, 225, 88, 76, 73, 2090, 3556, 326, 18885, 3215, 790, 1614, 5357, 396, 27189, 50, 2710, 13, 388, 629, 609, 2763, 841, 790, 1614, 3084, 18, 409, 27978, 50, 2710, 38572, 345, 225, 88, 76, 73, 4674, 9764, 23285, 23026, 1463, 286, 1620, 32055, 38540, 16, 290, 345, 745, 2457, 1509, 346, 2442, 286, 3818, 398, 4120, 325, 5671, 1689, 28193, 20576, 23325, 388, 325, 225, 88, 76, 73, 3298, 16, 313, 424, 787, 225, 88, 76, 73, 1737, 7451, 286, 894, 44770, 968, 398, 2530, 18, 1099, 313, 14639, 371, 3293, 16, 660, 371, 4129, 11079, 3621, 290, 12049, 2453, 8850, 290, 225, 88, 76, 73, 1851, 2198, 18, 1366, 357, 318, 3437, 286, 3881, 225, 88, 76, 73, 1319, 292, 3621, 286, 4188, 423, 541, 345, 313, 459, 427, 225, 69, 46453, 1241, 18, 1099, 408, 4977, 7544, 16, 225, 88, 76, 73, 3053, 292, 225, 88, 76, 73, 1204, 290, 225, 88, 76, 73, 1432, 292, 16450, 371, 745, 2648, 1191, 286, 339, 225, 88, 76, 73, 724, 797, 1228, 345, 313, 459, 764, 383, 18, 1218, 359, 408, 568, 14329, 16, 544, 905, 449, 339, 398, 7002, 45130, 18, 1366, 981, 1482, 398, 2243, 4555, 16, 787, 225, 88, 76, 73, 1737, 2257, 286, 10447, 708, 398, 2206, 27935, 286, 225, 88, 76, 73, 1962, 18, 203, 4849, 20068, 18, 601, 352, 87, 225, 69, 877, 2251, 286, 744, 1336, 345, 225, 88, 76, 73, 3658, 388, 9767, 1167, 359, 761, 359, 225, 88, 76, 73, 1204, 318, 17254, 431, 225, 69, 528, 18, 55, 18, 3625, 292, 4582, 16374, 841, 790, 1614, 3084, 18, 20957, 423, 3765, 744, 1336, 345, 313, 3681, 225, 69, 7772, 2528, 16, 357, 783, 723, 291, 13593, 2772, 4902, 388, 2863, 7388, 16, 573, 371, 5980, 449, 2758, 291, 28193, 20576, 23325, 326, 1928, 17, 12801, 11818, 3621, 18, 203, 29341, 11875, 33419, 18, 41648, 43458, 326, 6581, 15089, 914, 423, 1627, 286, 1627, 18, 557, 479, 3984, 16, 225, 69, 7076, 3954, 318, 2505, 325, 42768, 3984, 1937, 225, 69, 1845, 1319, 292, 7205, 2021, 339, 4604, 16, 359, 761, 359, 225, 88, 76, 73, 7076, 292, 2917, 6211, 18, 601, 352, 87, 3437, 345, 225, 88, 76, 73, 1204, 313, 371, 14663, 291, 702, 16, 517, 345, 357, 568, 504, 225, 88, 76, 73, 2774, 292, 4507, 286, 2235, 1463, 3681, 7492, 18, 203, 829, 6075, 807, 14977, 18, 409, 910, 836, 286, 3681, 1185, 359, 225, 69, 6581, 12359, 318, 286, 548, 291, 225, 69, 7205, 2948, 18, 31965, 479, 11079, 3658, 3064, 1937, 225, 69, 1883, 1319, 292, 7205, 2021, 339, 3500, 18, 3791, 3984, 427, 5711, 7205, 3597, 3572, 326, 17502, 359, 761, 18, 6629, 524, 691, 225, 88, 76, 73, 3621, 427, 225, 69, 1376, 2168, 346, 28193, 20576, 23325, 11154, 16, 17454, 388, 22242, 290, 723, 346, 225, 88, 76, 73, 17461, 292, 1463, 291 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 286, 427, 745, 292, 624, 16050, 698, 398, 1693, 290, 932, 2609, 286, 427, 654, 2374, 292, 1482, 2025, 353, 1795, 548, 18, 203, 1624, 314, 821, 357, 16, 1036, 371, 225, 88, 76, 73, 9374, 286, 2505, 286, 744, 2025, 353, 1795, 548, 326, 932, 396, 694, 16, 1928, 17, 49792, 13, 6954, 1693, 30, 203, 1543, 659, 286, 427, 225, 69, 2171, 290, 3919, 6368, 2609, 18, 738, 1817, 313, 787, 2025, 353, 1795, 359, 225, 88, 76, 73, 7590, 991, 292, 225, 88, 76, 73, 33705, 290, 787, 225, 88, 76, 73, 1846, 4393, 350, 359, 398, 3019, 962, 16, 21755, 1694, 357, 286, 8387, 286, 4619, 623, 225, 88, 76, 73, 932, 286, 2207, 291, 15315, 326, 2134, 664, 2848, 16, 9168, 1945, 18, 8146, 1071, 442, 823, 761, 16, 359, 1071, 16702, 615, 18, 9054, 1155, 345, 803, 797, 932, 1353, 225, 69, 1171, 292, 1621, 698, 519, 8552, 3019, 3201, 1870, 3222, 8552, 3019, 1228, 696, 1240, 290, 5427, 5041, 371, 41077, 31851, 423, 670, 314, 1545, 18, 203, 1543, 659, 225, 88, 76, 73, 2955, 286, 2611, 3734, 13966, 292, 4674, 932, 4821, 18, 996, 313, 424, 7261, 225, 69, 2163, 345, 2087, 352, 88, 1937, 654, 4267, 286, 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 932, 696, 35952, 16, 786, 659, 286, 1496, 654, 2605, 16, 9965, 16, 10648, 16, 2551, 388, 609, 1415, 696, 857, 442, 424, 548, 225, 69, 1770, 18, 738, 318, 1656, 2991, 664, 361, 886, 2119, 85, 388, 2732, 36725, 326, 3197, 345, 371, 1013, 7021, 291, 225, 69, 9178, 6063, 548, 359, 225, 69, 2025, 353, 1795, 1693, 691, 313, 427, 225, 88, 76, 73, 609, 13620, 18, 1790, 16, 961, 279, 1747, 9358, 491, 1013, 1932, 345, 2747, 352, 88, 9828, 698, 225, 88, 76, 73, 4674, 932, 4821, 1822, 346, 709, 884, 7393, 1060, 4436, 6705, 290, 864, 46206, 18, 16173, 17880, 4176, 1937, 225, 69, 8249, 4267, 291, 225, 88, 76, 73, 4674, 932, 4821, 396, 931, 3477, 313, 2972, 4242, 225, 69, 2443, 290, 821, 864, 46206, 873, 573, 318, 2298, 286, 623, 691, 313, 352, 264, 8721, 3002, 286, 225, 88, 76, 73, 1682, 1342, 15609, 225, 88, 76, 73, 932, 18, 203, 19882, 4179, 787, 2609, 345, 23400, 2798, 35029, 25429, 1596, 286, 3955, 18, 45974, 1795, 318, 225, 69, 2715, 3874, 16, 541, 313, 813, 286, 744, 1336, 4817, 398, 1693, 1071, 16, 313, 427, 225, 69, 10181, 13840, 345, 616, 3443, 4687, 550, 359, 2798, 787, 225, 88, 76, 73, 1693, 6969, 18, 39026, 427, 442, 36335, 696, 313, 787, 357, 16, 313, 1209, 1249, 357, 16, 290, 554, 927, 544, 1335, 616, 6687, 659, 286, 1386, 915, 550, 696, 357, 318, 225, 69, 31268, 787, 13840, 18, 9676, 225, 88, 76, 73, 22293, 427, 225, 69, 1046, 13840, 4632, 1060, 25984, 16, 573, 3020, 318, 9828, 286, 225, 88, 76, 73, 10741, 313, 623, 423, 225, 88, 76, 73, 1693, 696, 519, 3494, 5667, 770, 15117, 1912, 225, 69, 927, 6468, 313, 1386, 16, 383, 573, 1570, 357, 459, 15117, 291, 1229, 595, 696, 573, 1817, 650, 313, 1028, 581, 225, 88, 76, 73, 592, 16, 313, 352, 635, 1386, 326, 357, 18, 6629, 398, 5380, 16, 517, 744, 1336, 345, 2798, 596, 1902, 787, 225, 88, 76, 73, 592, 459, 339, 25450, 286, 1386, 18, 203, 36658, 318, 543, 1263, 720, 6705, 18, 738, 770, 2016, 326, 629, 932, 4632, 2076, 396, 5816, 20998, 21548, 290, 1195, 295, 18821, 561, 797, 6027, 292, 8545, 7005, 760, 669, 325, 442, 2609, 873, 290, 1817, 313, 352, 264, 1482, 1621, 291, 279, 17310, 836, 16, 2459, 754, 5982, 388, 43048, 6705, 18, 7602, 323, 8806, 357, 1248, 16, 517, 770, 286, 3054, 519, 11061, 2543, 286, 8912, 31613, 2930, 650, 544, 1850, 3583, 544, 703, 2459, 623, 7808, 388, 5891, 225, 69, 1388, 2806, 396, 516, 3196, 3461, 352, 88, 1653, 325, 6705, 859, 2776, 10032, 12680, 2076, 427, 225, 88, 76, 73, 7281, 292, 449, 13295, 6705, 286, 9320, 1660, 16, 544, 659, 286, 339, 1316, 286, 984, 708, 544, 352, 264, 1191, 286, 821, 1388, 6705, 1708, 286, 20167, 225, 88, 76, 73, 3983, 2972, 16, 290, 14048, 442, 3874, 286, 744, 2252, 12684, 286, 7648, 318, 2838, 16969, 20826, 18, 409, 1957, 318, 286, 744, 1336, 313, 352, 264, 1336, 1586, 398, 6705, 2609, 31, 225, 88, 76, 73, 1319, 292, 3069, 314, 352, 315, 2194, 827, 6989, 1335, 616, 387, 408, 352, 635, 427, 479, 442, 1415, 290, 345, 504, 286, 339, 5716, 286, 2170, 550, 318, 581, 359, 940, 292, 225, 69, 3874, 359, 225, 88, 76, 73, 4837, 42171, 38691, 2367, 18, 203, 1926, 352, 87, 225, 69, 1171, 292, 2949, 290, 10241, 1060, 2025, 353, 1795, 1660, 16, 874, 359, 225, 88, 76, 73, 27033, 292, 2025, 353, 1795, 427, 9058, 3230, 1576, 423, 357, 18, 2882, 352, 88, 339, 1378, 9281, 388, 10821, 596, 715, 4042, 286, 339, 2220, 696, 691, 313, 352, 264, 5254, 286, 3251, 16, 3307, 2025, 353, 1795, 6468, 313, 352, 264, 345, 1240, 8933, 292, 1646, 827, 357, 1902, 2016, 18, 203, 3113, 291, 4138, 999, 377, 10313, 203, 36816, 1385, 286, 339, 225, 88, 76, 73, 43936, 25436, 203, 3113, 325, 2494, 1260, 16, 2862, 431, 21942, 203, 22, 203, 1989, 314, 385, 2116, 16, 314, 3989, 225, 88, 76, 73, 10456, 3062, 7044, 291, 3610, 16, 1712, 359, 225, 88, 76, 73, 3062, 15681, 1138, 18, 409, 724, 1876, 314, 1981, 1509, 16, 314, 2897, 624, 29750, 1060, 290, 6185, 6133, 290, 1597, 519, 23620, 25940, 18, 1099, 359, 17416, 16, 314, 2004, 357, 385, 225, 88, 76, 73, 13070, 386, 909, 1801, 18, 203, 45, 38423, 449, 286, 499, 785, 18, 203, 27779, 16, 650, 314, 3461, 352, 88, 1536, 16, 551, 2974, 3955, 225, 88, 76, 73, 1175, 3456, 4230, 6677, 5388, 16, 290, 286, 1422, 313, 225, 69, 2925, 292, 708, 5735, 14723, 643, 383, 965, 16, 314, 3583, 345, 21196, 1175, 3456, 385, 225, 69, 9393, 29984, 18, 1366, 16, 314, 1981, 785, 286, 3062, 15681, 1138, 290, 819, 1482 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 2736, 18, 314, 943, 352, 88, 1033, 345, 654, 554, 292, 443, 644, 5984, 325, 32873, 225, 69, 936, 658, 345, 927, 1395, 361, 2481, 2931, 928, 18, 616, 988, 688, 660, 385, 629, 609, 723, 660, 16, 1792, 443, 827, 408, 2318, 286, 339, 1076, 203, 2856, 657, 1255, 1227, 225, 69, 3210, 16, 7830, 89, 366, 10684, 26835, 22133, 423, 633, 936, 5457, 290, 6674, 633, 3326, 643, 1146, 1086, 30944, 18, 1108, 2483, 7076, 633, 527, 225, 88, 76, 73, 9951, 286, 3097, 18, 203, 1109, 11168, 82, 352, 88, 1142, 1033, 581, 2425, 6337, 2586, 286, 623, 633, 524, 1395, 45486, 3833, 316, 2583, 856, 317, 29014, 2705, 225, 88, 76, 73, 3888, 18, 616, 5663, 314, 1427, 4059, 765, 292, 633, 16, 314, 882, 1880, 345, 780, 1146, 644, 629, 969, 1076, 203, 50, 4827, 30, 3223, 292, 22133, 12722, 272, 24841, 1723, 357, 352, 87, 225, 69, 20553, 522, 4035, 11181, 7785, 345, 5588, 633, 2974, 16, 522, 44647, 4549, 47, 12620, 25, 6977, 203, 1641, 25920, 20754, 10075, 47, 12620, 67, 47741, 61, 77, 13, 2209, 1814, 16, 2616, 203, 2091, 4061, 16, 22133, 352, 87, 1201, 6267, 633, 2144, 20100, 6179, 2111, 286, 1335, 345, 225, 88, 76, 73, 22051, 504, 652, 2740, 423, 225, 88, 76, 73, 4959, 290, 318, 785, 965, 346, 1201, 18, 409, 2111, 2765, 225, 88, 76, 73, 1737, 3798, 30, 203, 1109, 988, 371, 15495, 431, 225, 88, 76, 73, 1246, 290, 16135, 345, 504, 652, 4350, 423, 479, 658, 225, 88, 76, 73, 1004, 18, 707, 371, 715, 915, 3352, 286, 5390, 9192, 326, 21351, 290, 345, 459, 339, 225, 69, 941, 290, 2298, 3603, 326, 2165, 596, 3583, 633, 18, 5282, 313, 326, 479, 292, 398, 1671, 290, 27311, 2824, 18, 601, 318, 10479, 543, 720, 313, 882, 1801, 688, 1076, 2, 0, 521, 17752, 48217, 912, 1571, 748, 318, 5984, 286, 1582, 225, 69, 6008, 1133, 225, 88, 76, 73, 797, 5159, 27909, 291, 1374, 286, 2182, 1324, 423, 519, 21395, 18, 203, 1200, 748, 459, 548, 910, 1584, 225, 69, 563, 17, 273, 17, 1010, 7128, 16, 952, 357, 318, 1709, 286, 4973, 225, 88, 76, 73, 21395, 650, 225, 88, 76, 73, 19262, 992, 3254, 290, 857, 2182, 1324, 1191, 527, 3676, 18, 2, 0, 8197, 3695, 3946, 2196, 7218, 318, 3923, 383, 279, 32364, 3270, 290, 5283, 624, 698, 225, 88, 76, 73, 864, 17, 20453, 6298, 326, 2328, 7509, 290, 23103, 18, 12570, 16, 13708, 431, 225, 88, 76, 73, 1644, 8840, 3693, 396, 37, 9060, 13, 9458, 345, 543, 720, 26821, 2372, 7218, 5975, 427, 864, 3695, 3946, 18, 738, 318, 4093, 2333, 292, 479, 5679, 7218, 18, 203, 521, 332, 9060, 13708, 345, 346, 225, 88, 76, 73, 3496, 12856, 3650, 290, 4179, 969, 35620, 16, 543, 7218, 459, 970, 864, 3695, 3946, 18, 203, 4403, 3893, 323, 1353, 16, 803, 9256, 371, 292, 22531, 25304, 18, 5750, 225, 88, 76, 73, 1644, 8840, 3693, 9295, 2130, 30, 203, 8197, 13057, 26616, 30, 1997, 40850, 203, 521, 2371, 3270, 4179, 1814, 3159, 291, 225, 88, 76, 73, 1851, 2198, 1133, 4589, 290, 2616, 18, 1009, 225, 88, 76, 73, 1319, 292, 5850, 8818, 431, 2340, 8821, 3159, 18, 27677, 16, 4093, 225, 69, 2630, 292, 225, 88, 76, 73, 5679, 3650, 504, 32022, 290, 442, 318, 225, 88, 76, 73, 745, 2078, 3028, 292, 21321, 4447, 17, 6769, 5850, 18, 203, 829, 2636, 2451, 16, 225, 88, 76, 73, 332, 9060, 17592, 519, 7451, 291, 279, 3605, 286, 20448, 7218, 286, 3613, 519, 1489, 18, 16443, 658, 4920, 318, 915, 225, 88, 76, 73, 631, 2150, 706, 16, 10698, 4977, 16, 357, 385, 18330, 658, 5000, 18, 203, 29317, 16, 346, 225, 88, 76, 73, 631, 3695, 3946, 7451, 16, 543, 717, 371, 1376, 286, 3881, 519, 2972, 18, 203, 8197, 13057, 26616, 30, 10713, 1542, 1397, 17969, 203, 1926, 371, 1579, 1228, 313, 424, 502, 286, 2734, 225, 69, 3485, 3695, 3946, 18, 2591, 371, 1709, 16, 1761, 3890, 459, 1420, 18, 1790, 16, 225, 88, 76, 73, 17901, 3912, 292, 864, 3695, 3946, 943, 352, 88, 2843, 313, 479, 292, 225, 69, 5978, 16, 544, 16228, 527, 325, 313, 16, 6837, 18, 1366, 16, 339, 18813, 16, 943, 352, 88, 2377, 15539, 18, 203, 4139, 371, 629, 12694, 30, 203, 18957, 11946, 203, 36834, 383, 2070, 1220, 1631, 225, 69, 1302, 326, 1872, 2239, 1040, 4064, 18, 828, 943, 352, 88, 659, 286, 502, 2425, 35221, 31, 5179, 388, 8037, 16, 691, 313, 427, 1709, 1496, 286, 225, 69, 4273, 16, 318, 891, 18, 6038, 989, 4836, 318, 891, 326, 398, 2218, 1657, 16, 290, 459, 568, 22689, 398, 7788, 290, 40893, 398, 4923, 18, 203, 40671, 225, 69, 10401, 4542, 346, 10197, 16, 13371, 16, 11358, 23087, 16, 290, 1928, 8081, 11436, 11479, 15557, 1646, 203, 21242, 968, 325, 5481, 16, 22296, 16, 290, 25880, 20307, 18, 203, 9165, 398, 6628, 2094, 968, 286, 377, 3258, 225, 69, 927, 18, 203, 48, 1567, 225, 69, 1171, 18, 411, 3386, 10394, 775, 3695, 12259, 431, 3143, 3159, 16, 3060, 286, 225, 69, 2621, 423, 225, 88, 76, 73, 1495, 292, 10495, 18, 13057, 2348, 7380, 290, 13876, 11396, 3695, 3946, 18, 203, 36628, 8577, 3695, 14600, 18885, 290, 30890, 20425, 3592, 6316, 1489, 26355, 203, 15204, 1021, 2, 0, 8060, 551, 8463, 16, 703, 313, 2466, 345, 408, 1919, 352, 88, 6574, 442, 602, 35, 314, 688, 345, 16, 17030, 16, 798, 717, 979, 6574, 442, 602, 16, 517, 313, 2576, 442, 290, 530, 2484, 442, 1608, 408, 979, 449, 6574, 18, 601, 352, 87, 279, 11791, 18, 828, 1142, 979, 398, 910, 291, 225, 88, 76, 73, 10043, 10375, 292, 2451, 18, 8875, 2252, 5, 4217, 225, 69, 1388, 9695, 18, 203, 45, 3413, 745, 292, 225, 88, 76, 73, 602, 325, 225, 69, 1184, 2226, 4244, 581, 551, 884, 13070, 4697, 290, 6781, 290, 13677, 11323, 16, 20365, 225, 88, 76, 73, 823, 1229, 1228, 345, 643, 6638, 291, 551, 969, 18, 409, 1873, 385, 345, 314, 979, 225, 69, 1171, 292, 2576, 16, 8052, 286, 3517 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 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 ]
[ 13339, 290, 1962, 291, 4278, 203, 11244, 292, 2217, 4278, 2, 0, 20018, 16406, 318, 554, 292, 331, 15751, 526, 1179, 3882, 291, 17349, 1597, 225, 69, 2914, 4980, 292, 581, 1913, 409, 1179, 1695, 16, 9467, 38295, 346, 225, 88, 76, 73, 7984, 1830, 292, 316, 3132, 24067, 83, 2895, 16, 9609, 754, 225, 88, 76, 73, 1263, 5394, 292, 2525, 382, 9385, 16, 38564, 11252, 69, 17, 21837, 89, 24859, 77, 82, 290, 42990, 19520, 18, 203, 203, 1926, 371, 2176, 13528, 292, 2152, 11481, 345, 1177, 3225, 325, 225, 88, 76, 73, 38295, 2217, 1180, 56, 3132, 24067, 83, 2895, 5557, 31, 1560, 292, 1059, 11481, 5463, 286, 225, 88, 76, 73, 1627, 9412, 11081, 331, 15751, 331, 18581, 80, 18581, 2572, 290, 554, 286, 225, 88, 76, 73, 2879, 11081, 1913, 409, 3603, 2569, 1133, 1260, 2021, 290, 10908, 2239, 290, 1136, 2021, 290, 1260, 2239, 18, 203, 203, 45058, 3882, 203, 203, 1987, 203, 203, 23224, 3882, 291, 17349, 203, 23824, 15518, 32758, 291, 17349, 2, 0, 521, 6116, 23364, 396, 33225, 1782, 13, 203, 409, 6116, 23364, 396, 30275, 1782, 13, 2, 0, 12588, 83, 11420, 8672, 13195, 15267, 396, 55, 36073, 1286, 82, 301, 16, 3538, 2382, 25323, 696, 28894, 16, 1260, 2209, 13918, 13, 385, 225, 69, 23383, 9696, 16, 18830, 16, 9281, 16, 31947, 290, 10821, 596, 385, 554, 292, 225, 88, 76, 73, 31470, 29352, 292, 522, 595, 18, 8672, 13195, 15267, 3220, 359, 5604, 292, 10646, 16, 11582, 292, 28894, 16, 14083, 16, 290, 4651, 292, 4129, 4087, 4797, 291, 225, 88, 76, 73, 6248, 292, 19819, 290, 225, 88, 76, 73, 6248, 292, 29716, 18, 731, 318, 3285, 286, 339, 554, 292, 225, 88, 76, 73, 745, 14224, 3129, 967, 292, 522, 595, 18, 203, 203, 9035, 969, 290, 2528, 203, 2177, 385, 3157, 291, 319, 36073, 1286, 82, 301, 16, 291, 1892, 5784, 16, 325, 3538, 2382, 25323, 396, 14807, 14152, 13, 286, 2228, 21479, 290, 478, 303, 4944, 8672, 13195, 15267, 18, 1728, 3223, 385, 225, 69, 761, 17, 273, 17, 2751, 16635, 18, 203, 203, 829, 522, 17275, 16, 458, 3846, 1119, 14401, 1204, 290, 864, 1204, 16, 290, 291, 28894, 16, 291, 25549, 458, 7640, 346, 225, 69, 361, 18, 4564, 18, 423, 4622, 272, 30723, 3089, 272, 18, 1078, 522, 1244, 17, 9650, 4206, 16, 458, 1981, 286, 4681, 290, 14663, 383, 225, 88, 76, 73, 12898, 1495, 292, 17743, 18, 557, 24860, 458, 7640, 423, 225, 88, 76, 73, 3997, 526, 1167, 291, 8087, 7436, 18, 1728, 7682, 385, 7929, 12299, 8235, 73, 18, 203, 203, 21667, 262, 291, 17743, 203, 2856, 9592, 522, 4206, 16, 383, 225, 88, 76, 73, 14038, 292, 554, 292, 522, 19328, 16, 596, 5633, 8268, 290, 32758, 383, 225, 88, 76, 73, 6631, 37872, 18225, 16, 458, 6497, 291, 4681, 326, 797, 543, 806, 16, 1376, 325, 225, 88, 76, 73, 3344, 292, 225, 88, 76, 73, 5138, 41392, 2361, 11583, 18, 1099, 225, 69, 1840, 23383, 9281, 16, 955, 225, 69, 1616, 385, 225, 69, 4706, 2516, 286, 4715, 225, 69, 4567, 2651, 18, 1790, 16, 359, 225, 69, 5193, 13543, 16, 458, 882, 449, 1620, 225, 69, 4967, 21119, 16, 458, 882, 770, 548, 359, 225, 69, 33595, 6064, 18, 203, 203, 2177, 724, 2406, 325, 225, 88, 76, 73, 8164, 292, 225, 88, 76, 73, 3637, 3505, 291, 17743, 18, 557, 225, 88, 76, 73, 3352, 16, 458, 385, 7220, 291, 35978, 225, 88, 76, 73, 14878, 16, 1653, 325, 522, 11974, 16, 609, 9888, 959, 225, 69, 2621, 16, 857, 17750, 479, 225, 88, 76, 73, 4700, 290, 20260, 16, 290, 650, 225, 88, 76, 73, 3344, 292, 4797, 2483, 30, 8232, 366, 16, 36316, 346, 439, 1811, 16, 7781, 4406, 290, 225, 69, 1872, 6346, 941, 9412, 16, 458, 2406, 359, 41586, 9281, 325, 225, 88, 76, 73, 3344, 292, 554, 292, 225, 88, 76, 73, 14795, 16, 325, 573, 21011, 7016, 32020, 643, 959, 326, 225, 88, 76, 73, 724, 595, 18, 13100, 9130, 292, 225, 88, 76, 73, 548, 16, 522, 4506, 385, 286, 2072, 225, 88, 76, 73, 2218, 2621, 16, 573, 644, 4977, 652, 4734, 431, 522, 8387, 18, 203, 203, 2856, 345, 16, 544, 9899, 950, 286, 744, 279, 5613, 290, 5936, 2621, 16, 952, 292, 573, 458, 16777, 479, 658, 34367, 16, 290, 458, 644, 23144, 291, 225, 88, 76, 73, 932, 16, 286, 5334, 458, 5471, 225, 88, 76, 73, 6039, 290, 28736, 292, 225, 88, 76, 73, 14878, 18, 738, 1616, 3459, 950, 225, 69, 1171, 292, 1476, 290, 7670, 18, 4536, 458, 385, 225, 69, 1840, 9281, 16, 458, 2406, 359, 225, 69, 5012, 9281, 16, 346, 6273, 225, 88, 76, 73, 11834, 16, 573, 385, 225, 88, 76, 73, 2157, 1656, 629, 292, 522, 6552, 5012, 9888, 3737, 968, 325, 950, 346, 31528, 18, 203, 203, 1905, 225, 69, 1027, 16, 458, 2406, 291, 225, 88, 76, 73, 4932, 326, 19157, 16, 325, 225, 88, 76, 73, 2149, 292, 4574, 2614, 19157, 16, 3060, 286, 225, 88, 76, 73, 689, 17749, 1056, 2656, 203, 203, 25083, 286, 19819, 203, 829, 25272, 16, 24807, 286, 522, 2974, 526, 2371, 16, 458, 2891, 286, 2819, 522, 1616, 383, 225, 88, 76, 73, 5138, 41392, 2361, 11583, 290, 499, 785, 286, 19819, 18, 1456, 345, 595, 16, 458, 385, 6536, 286, 1651, 286, 5438, 290, 548, 326, 22863, 401, 430, 46741, 16, 596, 7345, 1004, 15123, 819, 225, 88, 76, 73, 3344, 292, 225, 88, 76, 73, 4383, 430, 46741, 12538, 18, 4143, 225, 88, 76, 73, 1616, 385, 6536, 286, 894, 291, 1589, 1358, 602, 16, 291, 1374, 286, 787, 522, 1324, 595, 16, 458, 1981, 286, 3665, 522, 4223, 1310, 16, 573, 431, 1690, 905, 427, 15795, 2176, 2039, 388, 1490, 16, 291, 1715, 458, 4361, 225, 88, 76, 73, 6666, 526, 3836, 4164, 18, 1790, 16, 458, 6449, 225, 88, 76, 73, 5703, 641, 292, 225, 88, 76, 73, 3836, 16, 827, 458, 385, 2123, 225, 88, 76, 73, 4506, 292, 17750, 225, 69, 22423, 325, 225, 88, 76, 73, 1962, 16, 290, 1364, 458 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 69, 10294, 291, 3287, 13690, 423, 225, 88, 76, 73, 1495, 292, 21817, 18, 10625, 1541, 928, 689, 45, 2154, 225, 69, 14958, 952, 314, 979, 449, 821, 654, 2532, 9053, 18, 314, 3737, 1060, 290, 314, 2897, 2532, 8667, 16, 2532, 11132, 16, 517, 786, 2532, 9053, 18, 314, 7208, 345, 359, 225, 69, 4037, 1556, 203, 203, 10449, 203, 7291, 3885, 385, 9899, 431, 3551, 1010, 49666, 359, 225, 69, 1734, 14958, 291, 13698, 18, 16637, 524, 359, 225, 69, 1734, 38848, 16, 458, 385, 10224, 1476, 1721, 286, 5012, 1734, 38848, 16, 1734, 10935, 290, 4443, 10935, 18, 557, 9644, 16, 458, 385, 3249, 4651, 292, 225, 88, 76, 73, 2347, 292, 4443, 8310, 16, 27771, 225, 88, 76, 73, 10395, 290, 4443, 4593, 292, 384, 16, 9367, 6398, 290, 1734, 7765, 18, 557, 1408, 16, 458, 4642, 225, 88, 76, 73, 4778, 292, 4666, 13375, 18, 225, 4150, 522, 2269, 16, 10625, 3179, 225, 69, 2874, 8837, 292, 25461, 7696, 291, 225, 88, 76, 73, 5690, 292, 13690, 290, 3287, 13690, 290, 2154, 225, 88, 76, 73, 15175, 292, 1220, 25121, 18, 731, 8187, 423, 3551, 1010, 49666, 291, 9463, 18, 203, 203, 829, 8973, 16, 458, 385, 6568, 286, 225, 88, 76, 73, 4119, 292, 2534, 590, 292, 225, 88, 76, 73, 1063, 2229, 2361, 18, 557, 5452, 16, 458, 1736, 225, 88, 76, 73, 2928, 290, 2154, 225, 69, 41567, 40370, 18, 203, 203, 29719, 3993, 2580, 203, 203, 8012, 6720, 16, 1063, 2229, 203, 37, 563, 292, 225, 88, 76, 73, 1631, 16, 10625, 385, 8945, 2912, 291, 1504, 1750, 290, 4967, 3993, 2148, 16, 2276, 5650, 3379, 290, 11087, 18, 1238, 385, 225, 69, 891, 2101, 292, 1670, 31059, 1552, 291, 21817, 16, 359, 4350, 431, 225, 88, 76, 73, 11777, 21817, 13018, 13555, 1665, 18, 10625, 3220, 225, 88, 76, 73, 2090, 3693, 326, 225, 88, 76, 73, 39827, 292, 1351, 2126, 4433, 396, 5872, 38008, 13, 359, 519, 21817, 8030, 4115, 18, 731, 795, 17, 21608, 225, 88, 76, 73, 21817, 8030, 292, 225, 88, 76, 73, 12592, 3556, 291, 11995, 16, 7997, 286, 3665, 325, 225, 88, 76, 73, 4119, 292, 13344, 698, 225, 88, 76, 73, 6799, 87, 18, 731, 385, 568, 225, 69, 2928, 2260, 292, 225, 88, 76, 73, 37298, 3568, 30912, 16, 225, 69, 1928, 17, 7014, 3084, 1376, 346, 17928, 21817, 4848, 286, 2147, 519, 1604, 292, 969, 18, 203, 203, 1989, 225, 88, 76, 73, 12117, 27292, 3408, 292, 11777, 385, 4361, 16, 10625, 1837, 225, 69, 2819, 292, 11062, 423, 3551, 1010, 49666, 286, 723, 1139, 279, 5096, 17, 84, 9996, 225, 5439, 291, 21817, 1740, 9947, 326, 225, 69, 11709, 4804, 16, 3726, 388, 13895, 18, 731, 3220, 359, 225, 88, 76, 73, 14414, 4136, 326, 797, 806, 16, 857, 359, 6678, 3962, 18, 409, 3084, 3178, 225, 69, 1491, 2693, 292, 225, 88, 76, 73, 2763, 5900, 6335, 3850, 16, 1509, 346, 609, 4902, 3064, 18, 203, 203, 49, 5909, 203, 7291, 3885, 3178, 21817, 526, 19935, 2086, 1167, 346, 30726, 24295, 16, 30740, 291, 10858, 18, 1099, 641, 292, 225, 88, 76, 73, 1167, 458, 2406, 346, 21817, 4339, 292, 5852, 286, 3847, 17388, 326, 1463, 423, 30726, 24295, 18, 9528, 286, 522, 548, 16, 458, 385, 3249, 225, 69, 13969, 292, 225, 88, 76, 73, 2090, 6759, 292, 30740, 291, 10584, 18, 203, 203, 32405, 584, 203, 829, 10858, 16, 10625, 385, 6413, 286, 225, 88, 76, 73, 2928, 292, 29408, 292, 4365, 954, 17829, 3049, 18, 203, 203, 829, 4589, 16, 34532, 61, 6818, 627, 83, 8740, 10625, 279, 24938, 10611, 292, 43965, 23645, 18, 203, 203, 829, 3486, 16, 10625, 2524, 225, 88, 76, 73, 17131, 6250, 20634, 13423, 423, 225, 88, 76, 73, 1495, 292, 21817, 291, 7670, 292, 522, 8526, 10515, 291, 4967, 3993, 18, 203, 203, 4075, 7696, 371, 36985, 383, 225, 88, 76, 73, 1495, 292, 21817, 18, 203, 203, 829, 2987, 16, 21817, 2086, 1925, 1319, 1136, 385, 3249, 225, 88, 76, 73, 1900, 18, 13475, 10625, 5029, 1925, 1970, 1537, 291, 522, 6338, 18, 409, 1204, 26258, 1734, 290, 8760, 2388, 16, 225, 88, 76, 73, 15998, 10625, 10224, 1154, 522, 595, 359, 225, 69, 41567, 292, 225, 88, 76, 73, 2361, 292, 1063, 2229, 290, 359, 225, 88, 76, 73, 2528, 7057, 5309, 292, 225, 88, 76, 73, 12592, 3556, 292, 21817, 18, 203, 203, 829, 1920, 16, 4365, 954, 17829, 3049, 14070, 724, 17, 2996, 41148, 862, 30305, 3757, 286, 10625, 3757, 291, 10625, 526, 6338, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 4945, 18, 13475, 10625, 25728, 203, 8012, 6720, 11654, 325, 1900, 18, 13475, 10625, 5029, 203, 4945, 18, 13475, 10625, 30, 689, 29, 5720, 1328, 4019, 308, 377, 6, 203, 6050, 8519, 45, 16076, 203, 203, 6004, 717, 203, 31962, 4686, 203, 4387, 3287, 4347, 1131, 203, 4387, 4967, 3993, 15373, 203, 47, 391, 480, 717, 203, 5013, 423, 38276, 1077, 16, 8170, 203, 23543, 954, 17829, 3049, 7692, 203, 23543, 954, 17829, 3049, 29408, 203, 11244, 292, 21817, 7692, 203, 10080, 440, 1131, 423, 21817, 16, 1063, 2229, 203, 41154, 423, 1063, 2229, 396, 5337, 13, 2, 0, 521, 2107, 25194, 6263, 2730, 385, 225, 69, 2200, 1133, 225, 88, 76, 73, 1004, 8924, 40924, 1697, 33119, 290, 43084, 5186, 7983, 7585, 41526, 16, 286, 4773, 225, 88, 76, 73, 2107, 25194, 13376, 18, 601, 385, 2404, 423, 1148, 286, 2399, 2636, 2730, 16, 811, 225, 88, 76, 73, 48242, 292, 225, 88, 76, 73, 2107, 25194, 11228, 396, 42, 19393, 13, 291, 1366, 10372, 16, 6072, 18, 203, 203, 521, 2200, 385, 2891, 819, 16479, 292, 11472, 6931, 1823, 18, 1507, 3275, 2636, 2730, 1697, 33119, 15838, 522, 3525, 16, 4499, 1220, 1823, 16, 6627, 554, 290, 7144, 4266, 18, 203, 203, 38080, 14838, 203, 203, 521, 43084, 385, 6601, 291, 225, 88, 76, 73, 2730, 33338, 14838, 16, 279, 3815, 17, 25256, 4452, 2806, 17, 306, 7162, 6721, 345, 1837, 1128, 291, 9697, 40798, 17, 49, 555, 77, 1330, 79, 16, 6072, 16, 423, 2272, 2209, 286, 4600, 2209, 2730, 18, 409, 5579, 16 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 2091, 3990, 16, 2827, 2357, 88, 76, 531, 49953, 11984, 318, 819, 8715, 408, 371, 479, 225, 69, 641, 18, 2, 0, 4280, 1477, 1890, 2439, 2747, 352, 88, 715, 225, 69, 1565, 291, 4371, 18, 409, 35622, 545, 5224, 4371, 1577, 504, 709, 9631, 10044, 291, 1579, 609, 31031, 1315, 3494, 9122, 290, 23343, 16210, 812, 2141, 18, 203, 6260, 2439, 4795, 7098, 696, 30177, 203, 7148, 1285, 225, 88, 76, 73, 5694, 7462, 554, 292, 225, 88, 76, 73, 5046, 292, 225, 88, 76, 73, 602, 291, 225, 88, 76, 73, 1830, 292, 29379, 291, 7139, 286, 6608, 225, 88, 76, 73, 3146, 352, 87, 4236, 18, 1099, 9784, 14278, 292, 554, 292, 225, 88, 76, 73, 9248, 34523, 16, 28805, 9913, 69, 16, 1890, 2439, 37253, 786, 11082, 383, 709, 29517, 16527, 502, 2404, 383, 225, 88, 76, 73, 4795, 7098, 573, 318, 6969, 965, 286, 225, 69, 34341, 3896, 1297, 18, 203, 521, 1465, 12402, 225, 69, 34712, 292, 1491, 290, 2818, 17200, 596, 304, 4793, 527, 225, 88, 76, 73, 2190, 33956, 696, 20886, 1736, 225, 69, 1171, 292, 225, 88, 76, 73, 27058, 18405, 1315, 5714, 27058, 290, 1226, 293, 16, 290, 4694, 643, 6800, 286, 7588, 225, 88, 76, 73, 3896, 325, 1182, 18, 2060, 3767, 18267, 225, 88, 76, 73, 1465, 352, 87, 9099, 16, 596, 6478, 17527, 13808, 225, 88, 76, 73, 363, 10961, 8922, 290, 10645, 30937, 46890, 16, 1027, 609, 27058, 827, 11033, 698, 7448, 22448, 292, 1890, 2439, 8468, 31, 346, 23652, 290, 7678, 9393, 423, 22697, 359, 691, 544, 643, 3927, 292, 5714, 18, 557, 554, 3767, 20082, 1890, 2439, 874, 8954, 709, 15199, 1307, 3507, 2080, 18, 203, 10074, 316, 5429, 203, 6260, 2439, 1104, 18507, 203, 829, 4589, 16, 1689, 225, 88, 76, 73, 2699, 4278, 9003, 292, 15774, 290, 1104, 18507, 16, 225, 69, 4927, 292, 31728, 3852, 16, 4584, 3006, 13298, 1354, 290, 11877, 284, 1900, 2985, 311, 16, 20349, 1890, 2439, 1104, 18507, 16, 225, 69, 13942, 9404, 12231, 4495, 359, 225, 69, 1890, 2439, 7448, 17, 70, 447, 1600, 18, 18556, 1509, 279, 13513, 7199, 292, 528, 18, 55, 18, 11012, 5000, 16, 225, 88, 76, 73, 1583, 431, 2399, 17, 9381, 513, 11273, 290, 44754, 1848, 385, 14317, 11643, 431, 225, 88, 76, 73, 1890, 2439, 5031, 18, 203, 11693, 4278, 504, 225, 69, 2084, 292, 26872, 17, 12045, 1448, 18, 24215, 291, 225, 88, 76, 73, 2723, 87, 16, 5299, 43533, 5459, 423, 3470, 8227, 616, 36181, 1181, 1076, 738, 3295, 5466, 2154, 225, 88, 76, 73, 31504, 17, 45138, 22572, 292, 9141, 8379, 290, 4739, 15770, 291, 23701, 18, 409, 30253, 454, 17, 36873, 282, 5466, 38858, 598, 46695, 225, 88, 76, 73, 2699, 4278, 5306, 326, 806, 18, 601, 352, 87, 1172, 5132, 385, 225, 69, 37201, 5132, 291, 393, 387, 15075, 18, 203, 7683, 660, 385, 225, 88, 76, 73, 37900, 13021, 8236, 326, 225, 88, 76, 73, 3648, 48282, 16, 4278, 16, 1346, 18, 19557, 290, 3579, 8781, 349, 13431, 696, 225, 69, 2315, 26872, 17, 40361, 505, 2387, 715, 3620, 292, 225, 88, 76, 73, 14187, 20576, 325, 11813, 23869, 345, 504, 4938, 291, 1119, 1727, 290, 10212, 6014, 696, 383, 2070, 554, 292, 624, 3249, 8781, 349, 13431, 18, 203, 3018, 1890, 2439, 1104, 18507, 2569, 225, 88, 76, 73, 46133, 7760, 18, 15638, 5455, 371, 4544, 286, 339, 953, 517, 26265, 371, 544, 268, 732, 10635, 18, 1890, 2439, 1104, 18507, 318, 396, 10690, 13, 1119, 18, 203, 1266, 352, 87, 616, 18800, 17, 29081, 550, 2030, 5203, 8448, 325, 2485, 377, 334, 16, 4589, 18, 396, 2943, 14038, 385, 2613, 2970, 291, 225, 88, 76, 73, 10241, 292, 22331, 28929, 3155, 1605, 314, 724, 2897, 225, 88, 76, 73, 3635, 292, 225, 88, 76, 73, 13942, 696, 314, 3583, 345, 225, 88, 76, 73, 3706, 5854, 290, 30536, 2613, 1919, 352, 88, 821, 225, 88, 76, 73, 26153, 292, 2485, 384, 348, 18, 396, 28381, 16, 225, 88, 76, 73, 414, 37303, 1837, 1220, 1477, 286, 7553, 3155, 203, 6260, 317, 19131, 26563, 30052, 203, 521, 3852, 290, 11666, 292, 442, 1512, 3583, 442, 1248, 18, 10706, 292, 5301, 17, 7328, 5301, 16, 442, 36620, 513, 11273, 1848, 459, 6837, 17526, 785, 698, 225, 88, 76, 73, 6234, 1912, 225, 88, 76, 73, 26032, 366, 427, 5674, 225, 88, 76, 73, 14791, 18, 409, 3174, 20739, 286, 35351, 297, 459, 1369, 10850, 2021, 292, 5519, 326, 37907, 4586, 754, 2699, 4278, 18, 16637, 346, 2204, 2257, 664, 616, 1647, 225, 88, 76, 73, 10043, 385, 345, 3740, 357, 352, 87, 1336, 286, 10186, 543, 16327, 10692, 696, 664, 616, 1989, 318, 5982, 953, 3740, 388, 616, 1989, 318, 953, 5982, 3740, 1515, 396, 561, 1142, 941, 8275, 13, 616, 1647, 318, 953, 16, 8432, 3740, 203, 36451, 13439, 25040, 383, 4278, 10992, 5137, 203, 5099, 1890, 2439, 1104, 18507, 18977, 423, 418, 301, 274, 2215, 11364, 814, 203, 1066, 18581, 8682, 396, 86, 2035, 666, 17, 1423, 1035, 25408, 13, 203, 21, 18, 286, 29592, 16, 286, 26032, 203, 22, 18, 396, 901, 271, 622, 6516, 13, 286, 4777, 16, 286, 9425, 203, 23, 18, 286, 451, 7332, 16, 286, 4777, 203, 24, 18, 1998, 18, 286, 7477, 505, 203, 25, 18, 396, 69, 12726, 69, 13, 286, 26107, 505, 203, 1066, 317, 2030, 1066, 20229, 72, 19, 1890, 263, 25955, 6662, 696, 5549, 1195, 5933, 1890, 263, 25955, 63, 1066, 317, 65, 203, 1180, 82, 773, 5070, 18, 203, 829, 47066, 18, 6226, 18, 203, 63, 41087, 30, 44155, 1180, 37868, 31, 1112, 19190, 1126, 18, 292, 389, 24012, 454, 6226, 396, 71, 18, 421, 363, 539, 72, 13, 41033, 108, 28836, 1447, 2509, 25047, 308, 1244, 6226, 326, 16622, 25162, 18, 5750, 283, 1854, 3996, 20767, 203, 3627, 349, 7180, 1857, 396, 90, 377, 18, 21, 13, 203, 12904, 325, 225, 88, 76, 73, 27812, 3010, 834, 349, 7180, 1857, 26134, 16, 14945, 27812, 3010, 16, 3726, 18, 4109, 18, 203, 18567, 286, 225, 69, 1279, 203, 15426, 4371, 16, 1638, 18507, 16, 657, 2439, 203, 18515, 1136, 3868, 203, 9746, 225, 69 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 17983, 21556, 4964, 286, 409, 9550, 18, 225, 409, 4964, 987, 16, 291, 641, 16, 689, 2428, 1015, 225, 69, 30437, 8431, 18, 318, 770, 225, 69, 11116, 6908, 720, 286, 23780, 225, 69, 3418, 2113, 346, 225, 88, 76, 73, 25077, 3525, 4538, 18, 8621, 357, 318, 449, 1230, 1709, 286, 688, 225, 88, 76, 73, 8089, 1143, 409, 46759, 1866, 15224, 10317, 318, 2204, 16, 357, 318, 1709, 286, 3279, 16, 290, 225, 88, 76, 73, 982, 6765, 424, 16457, 357, 5307, 3060, 286, 225, 88, 76, 73, 6926, 1556, 203, 203, 521, 1361, 2333, 292, 225, 88, 76, 73, 452, 88, 76, 3503, 2897, 225, 88, 76, 73, 27006, 292, 22889, 526, 13910, 18, 225, 409, 9550, 2154, 641, 292, 797, 609, 1491, 7696, 18, 225, 409, 22889, 10061, 3888, 290, 225, 88, 76, 73, 14650, 4970, 16675, 291, 225, 88, 76, 73, 6799, 87, 16, 12556, 5237, 359, 5008, 7696, 16, 874, 14189, 277, 1046, 6941, 326, 225, 88, 76, 73, 1150, 7459, 18, 225, 16481, 225, 88, 76, 73, 797, 18497, 643, 5570, 698, 409, 4970, 17, 8826, 396, 69, 2980, 2794, 13, 291, 8973, 16, 346, 409, 3990, 9550, 961, 3179, 325, 21670, 18, 225, 1294, 3084, 1740, 225, 88, 76, 73, 22889, 30141, 4996, 2154, 225, 88, 76, 73, 1491, 7053, 292, 225, 88, 76, 73, 1063, 3409, 1201, 19364, 18, 225, 409, 8450, 385, 12989, 1712, 359, 409, 22889, 4970, 3888, 954, 3990, 9550, 18, 203, 203, 521, 9550, 5292, 225, 88, 76, 73, 11559, 292, 1579, 8833, 14077, 290, 34057, 18, 225, 314, 18, 430, 18, 689, 12392, 6, 3024, 3640, 16, 20819, 5402, 3304, 9516, 290, 554, 292, 225, 88, 76, 73, 2536, 20886, 292, 225, 88, 76, 73, 13751, 20652, 11, 3693, 292, 3146, 291, 19611, 16, 2483, 522, 2269, 383, 409, 9550, 18, 7741, 526, 689, 6151, 311, 32609, 405, 6, 16381, 2811, 5240, 385, 225, 69, 16103, 326, 409, 9550, 291, 225, 88, 76, 73, 10480, 87, 18, 225, 28544, 472, 4838, 36131, 385, 225, 69, 16103, 326, 409, 22889, 4970, 291, 225, 88, 76, 73, 2775, 8587, 87, 18, 203, 203, 521, 8450, 48807, 286, 709, 5939, 16, 673, 17, 32082, 17, 8826, 1565, 292, 409, 9550, 1060, 5755, 18, 4426, 957, 91, 4091, 2154, 14387, 292, 409, 9550, 325, 2698, 4600, 16, 3384, 31, 225, 458, 385, 4977, 14387, 292, 409, 30529, 4790, 17, 42444, 1323, 18, 203, 203, 829, 2153, 16, 225, 88, 76, 73, 1063, 3994, 38574, 3693, 6081, 409, 9550, 16, 225, 88, 76, 73, 689, 3532, 1755, 1879, 292, 225, 88, 76, 73, 4575, 6, 3525, 359, 225, 69, 3225, 16, 290, 2196, 3990, 13910, 16, 326, 709, 31418, 7937, 325, 225, 88, 76, 73, 22889, 7073, 3625, 40694, 4164, 345, 602, 18, 203, 203, 16240, 28045, 421, 18, 3469, 2284, 385, 3249, 225, 88, 76, 73, 8450, 526, 724, 4750, 6678, 7042, 291, 1920, 18, 203, 203, 33325, 203, 203, 3591, 568, 203, 9550, 11873, 16, 225, 88, 76, 73, 8450, 526, 965, 423, 32790, 286, 29009, 203, 5695, 292, 1644, 13910, 203, 203, 9824, 203, 203, 1987, 4327, 21336, 292, 442, 2983, 1303, 423, 1563, 203, 43532, 5695, 292, 2764, 290, 1644, 8977, 46701, 396, 33079, 13, 291, 225, 88, 76, 73, 1502, 7827, 10317, 11, 203, 203, 3257, 2477, 4327, 409, 9550, 16, 1344, 6175, 203, 4168, 10395, 431, 409, 9550, 203, 4426, 319, 18, 5079, 417, 321, 16, 4277, 290, 6320, 292, 14828, 6649, 749, 603, 18, 377, 396, 45777, 13, 203, 6476, 19679, 262, 16, 409, 8029, 292, 279, 13159, 38574, 396, 33061, 13, 203, 2212, 478, 18, 23693, 10737, 16, 409, 7103, 277, 292, 225, 88, 76, 73, 22889, 9550, 396, 21009, 13, 203, 203, 1758, 3732, 9011, 291, 9318, 203, 14746, 575, 24590, 203, 17844, 2155, 291, 22889, 16, 9318, 203, 3532, 1755, 4996, 3179, 291, 9318, 203, 26923, 3178, 291, 45184, 2, 0, 18190, 1997, 8816, 373, 396, 8209, 3275, 16, 28379, 696, 2485, 1519, 16, 11262, 13, 385, 279, 1644, 11430, 16, 9696, 16, 1244, 11950, 16, 290, 14387, 18, 731, 385, 6081, 346, 225, 88, 76, 73, 4383, 41629, 10304, 326, 28407, 291, 12902, 18, 225, 8816, 373, 568, 3220, 359, 279, 20918, 1851, 2198, 14867, 16, 6568, 286, 3665, 1133, 225, 88, 76, 73, 23404, 292, 5169, 36509, 2553, 2527, 3447, 291, 2636, 15894, 290, 225, 88, 76, 73, 2494, 14123, 1643, 7790, 17, 77, 82, 292, 36013, 16749, 1630, 16, 596, 644, 652, 6413, 286, 6675, 2553, 2527, 3447, 18, 203, 203, 9035, 969, 290, 17059, 2269, 225, 203, 13788, 291, 7365, 13285, 16, 8816, 373, 385, 279, 770, 1103, 596, 5789, 527, 30626, 291, 5706, 290, 2764, 290, 385, 3157, 286, 35283, 1491, 13543, 290, 9696, 6130, 332, 18, 8816, 373, 290, 20642, 8816, 373, 18, 6034, 522, 2974, 458, 385, 28412, 423, 225, 88, 76, 73, 1515, 45959, 290, 15714, 69, 3366, 18, 1099, 225, 69, 1103, 458, 5801, 1502, 3621, 290, 3230, 325, 286, 17671, 1495, 554, 602, 1846, 346, 225, 69, 3658, 291, 15753, 18, 8816, 373, 7640, 291, 23142, 383, 2184, 3143, 18, 203, 203, 829, 14569, 16, 8816, 373, 22140, 1175, 22, 16, 1318, 290, 1981, 325, 286, 2207, 225, 88, 76, 73, 7365, 13285, 10061, 13159, 16, 225, 88, 76, 73, 2070, 24115, 8450, 291, 2364, 18, 557, 20953, 458, 3168, 225, 88, 76, 73, 14547, 286, 623, 698, 225, 88, 76, 73, 2508, 932, 290, 1708, 5996, 225, 88, 76, 73, 7365, 13285, 10061, 3888, 291, 19101, 18, 409, 4618, 2922, 16, 458, 385, 6568, 359, 225, 88, 76, 73, 7365, 13285, 1244, 11950, 18, 8816, 373, 987, 404, 728, 225, 88, 76, 73, 10061, 13159, 290, 5570, 345, 346, 225, 88, 76, 73, 10061, 3888, 286, 2420, 225, 88, 76, 73, 7365, 13285, 10061, 3888, 954, 13159, 18, 11068, 1708, 16, 8816, 373, 5287, 409, 14650, 5362, 16, 7365, 13285, 526, 2630, 2794, 18, 731, 1708, 5570, 225, 88, 76, 73, 797, 1482, 409, 3888, 17, 7600, 18, 1979, 3275, 806, 16, 357, 385, 3168, 326, 1689, 1136, 2372, 6514, 286, 225, 88, 76, 73, 14387, 292, 409, 9573, 32670, 18, 203, 203, 17466 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 24892, 26434, 37097, 18, 1666, 1569, 16, 225, 88, 76, 73, 7126, 4746, 10006, 4932, 1736, 286, 1139, 225, 88, 76, 73, 430, 16968, 16122, 523, 277, 18, 409, 2595, 3579, 4415, 286, 670, 385, 915, 225, 88, 76, 73, 28581, 24892, 26434, 37097, 291, 10201, 16, 2158, 524, 225, 88, 76, 73, 5717, 3525, 291, 225, 88, 76, 73, 6065, 272, 26434, 18, 26288, 58, 3846, 14157, 291, 442, 5717, 291, 10201, 1180, 13269, 16, 325, 6964, 2697, 346, 7495, 27925, 26288, 58, 22461, 17743, 16, 517, 882, 770, 3647, 1124, 88, 76, 225, 88, 76, 73, 602, 819, 290, 385, 27925, 785, 286, 225, 88, 76, 73, 6065, 272, 26434, 18, 203, 203, 19712, 286, 1552, 203, 7023, 291, 225, 88, 76, 73, 6065, 272, 26434, 16, 16122, 523, 277, 385, 3856, 27925, 1001, 16, 286, 225, 88, 76, 73, 40319, 347, 729, 26434, 18, 601, 4642, 286, 6596, 517, 1882, 1172, 291, 225, 88, 76, 73, 6065, 272, 26434, 291, 9463, 1180, 12776, 290, 979, 449, 4076, 286, 2877, 286, 442, 1398, 326, 1378, 6196, 6806, 18, 409, 2595, 2154, 641, 292, 225, 88, 76, 73, 631, 40319, 9207, 538, 529, 26434, 428, 47544, 23254, 1655, 291, 8973, 18, 203, 203, 829, 7196, 16, 225, 88, 76, 73, 2595, 1837, 524, 225, 88, 76, 73, 40319, 9207, 538, 529, 26434, 428, 47544, 23254, 1655, 396, 11032, 13, 3525, 290, 4415, 286, 225, 88, 76, 73, 6065, 272, 26434, 326, 2176, 6806, 18, 21346, 16, 3300, 346, 225, 69, 8511, 1128, 16, 225, 88, 76, 73, 2595, 4604, 761, 517, 857, 15087, 1569, 431, 1569, 290, 385, 1912, 1001, 27925, 291, 5755, 16, 819, 279, 1124, 88, 76, 17, 4294, 3647, 18, 203, 203, 829, 3384, 16122, 523, 277, 385, 27925, 423, 225, 88, 76, 73, 40319, 347, 729, 26434, 290, 225, 88, 76, 73, 2595, 7434, 754, 225, 88, 76, 73, 13260, 423, 660, 16, 286, 225, 88, 76, 73, 24933, 7796, 21825, 583, 291, 3008, 290, 225, 88, 76, 73, 332, 17, 47, 21825, 583, 291, 2855, 18, 409, 2595, 2154, 935, 335, 2373, 291, 2355, 2855, 290, 385, 6164, 27925, 423, 225, 88, 76, 73, 24933, 7796, 21825, 583, 286, 225, 88, 76, 73, 332, 17, 47, 21825, 583, 18, 409, 2595, 2375, 979, 449, 1962, 225, 69, 962, 291, 2855, 1180, 2566, 18, 1456, 629, 3232, 819, 442, 225, 88, 76, 73, 2595, 385, 32445, 18, 203, 203, 2691, 225, 69, 1968, 16794, 17, 582, 4746, 10006, 962, 291, 16122, 523, 277, 16, 225, 88, 76, 73, 16122, 523, 277, 17334, 16, 2561, 291, 225, 88, 76, 73, 34313, 430, 562, 7000, 24223, 16, 225, 88, 76, 73, 2595, 8136, 15283, 4174, 326, 2155, 2949, 290, 19243, 18, 203, 203, 27582, 203, 521, 2595, 526, 27107, 30, 203, 203, 22618, 203, 28581, 26434, 319, 5011, 72, 23254, 1655, 396, 15155, 13, 203, 4004, 30, 12812, 203, 428, 47544, 23254, 1655, 9287, 396, 15155, 13, 203, 4004, 30, 14164, 203, 6065, 272, 26434, 37097, 17, 49, 46123, 396, 5123, 13, 203, 4004, 30, 10201, 203, 43191, 17, 406, 30, 396, 23, 13, 11262, 16, 11086, 16, 10584, 203, 40319, 9207, 538, 529, 26434, 428, 47544, 23254, 1655, 396, 11032, 13, 203, 4004, 30, 7196, 203, 43191, 17, 406, 30, 8694, 203, 40319, 347, 729, 26434, 428, 47544, 23254, 1655, 17, 11693, 396, 58, 5826, 13, 203, 4004, 30, 4589, 203, 203, 28645, 203, 41392, 811, 591, 9287, 203, 43191, 17, 406, 30, 396, 22, 13, 14732, 16, 10945, 203, 203, 13624, 6806, 203, 521, 2243, 1569, 17, 1553, 17, 10358, 2358, 292, 225, 88, 76, 73, 2595, 30, 203, 203, 2691, 225, 88, 76, 73, 7840, 292, 225, 88, 76, 73, 40319, 9207, 538, 529, 6543, 287, 291, 8973, 359, 225, 88, 76, 73, 631, 8511, 16794, 16, 2130, 225, 88, 76, 73, 6065, 272, 6543, 287, 16, 479, 18564, 2130, 7434, 554, 16794, 18, 1591, 225, 88, 76, 73, 7840, 292, 225, 88, 76, 73, 10236, 446, 337, 287, 291, 7752, 290, 225, 88, 76, 73, 685, 18, 24223, 291, 3486, 359, 225, 88, 76, 73, 631, 2630, 16794, 16, 2130, 225, 88, 76, 73, 384, 18, 37179, 16, 479, 18564, 2130, 7434, 554, 16794, 18, 1591, 225, 88, 76, 73, 9163, 292, 225, 88, 76, 73, 10236, 446, 11074, 37097, 359, 225, 88, 76, 73, 631, 5837, 16794, 291, 34367, 291, 2862, 225, 88, 76, 73, 37097, 26434, 385, 6971, 698, 225, 69, 7716, 290, 225, 69, 7445, 7053, 16, 225, 88, 76, 73, 1319, 292, 6065, 272, 6543, 287, 8412, 423, 1220, 286, 2176, 290, 225, 88, 76, 73, 40319, 9207, 538, 529, 6543, 287, 30621, 18, 1558, 18564, 423, 225, 88, 76, 73, 40319, 347, 729, 6543, 287, 35635, 643, 14932, 554, 16794, 18, 203, 203, 1987, 203, 203, 16741, 203, 55, 5011, 72, 3150, 5559, 354, 3524, 393, 1262, 1459, 2186, 354, 48378, 291, 16841, 35593, 645, 24238, 1180, 18988, 225, 5695, 292, 6758, 3911, 2746, 291, 6558, 16, 2411, 30, 17920, 3429, 5126, 635, 203, 203, 3257, 2477, 203, 40, 287, 486, 5559, 6060, 13084, 21120, 1459, 17, 12847, 440, 5939, 3911, 7231, 5717, 6558, 1563, 203, 29525, 2746, 7126, 291, 4681, 203, 29525, 2746, 7126, 291, 34367, 203, 15684, 2746, 7126, 3178, 291, 18317, 203, 10274, 7126, 3178, 291, 25892, 203, 41915, 523, 277, 203, 41915, 523, 277, 17334, 203, 18406, 291, 14165, 34367, 203, 1758, 12872, 9011, 291, 34367, 203, 18406, 7126, 291, 4681, 203, 15684, 2746, 7126, 3178, 291, 25892, 2, 0, 521, 3384, 5201, 6422, 6128, 321, 3480, 962, 7167, 5201, 6422, 1495, 359, 225, 69, 2260, 292, 225, 88, 76, 73, 6758, 6654, 396, 2628, 3302, 13, 1154, 225, 88, 76, 73, 3384, 14817, 5669, 314, 393, 9354, 2746, 1569, 18, 20871, 431, 1361, 17, 2996, 1357, 3561, 16561, 23919, 16, 225, 88, 76, 73, 6128, 321, 3480, 15189, 279, 3758, 1514, 292, 384, 1180, 29, 346, 225, 69, 1031, 292, 377, 1180, 27, 291, 4975, 748, 16, 10419, 1172, 524, 292, 6196, 3201, 291, 225, 88, 76, 73, 1366, 3302, 18, 5201, 6422, 2533, 519, 965, 1823, 383, 6092, 20289, 7591, 383, 430, 18, 478, 18, 10065 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 10486, 3785, 624, 2656, 203, 2058, 14182, 326, 3514, 408, 4734, 286, 3373, 5971, 290, 4311, 17, 916, 442, 4357, 35, 203, 9937, 2976, 292, 8493, 1793, 30, 22738, 346, 15476, 819, 6627, 225, 69, 3719, 554, 286, 4311, 17, 916, 203, 5678, 225, 88, 76, 73, 4707, 2483, 16, 225, 88, 76, 73, 1319, 292, 717, 291, 225, 88, 76, 73, 3261, 596, 427, 3904, 346, 4311, 17, 916, 4842, 359, 225, 88, 1143, 203, 27, 2789, 203, 9937, 2976, 292, 8493, 1793, 30, 22738, 346, 15476, 819, 6627, 225, 69, 3719, 554, 286, 4311, 17, 916, 203, 27, 2789, 203, 20959, 17822, 30, 708, 286, 10136, 225, 88, 76, 73, 1866, 19112, 46596, 11, 203, 27, 2789, 203, 19112, 17, 916, 30, 1838, 318, 23923, 22451, 290, 459, 408, 1801, 2124, 357, 35, 203, 26, 2789, 203, 4193, 313, 623, 1317, 4311, 17, 916, 22451, 423, 17410, 388, 9607, 35, 203, 26, 2789, 203, 4378, 225, 88, 76, 73, 47717, 326, 5971, 290, 4311, 17, 916, 203, 16766, 16, 225, 88, 76, 73, 910, 4399, 1584, 225, 88, 76, 73, 5971, 290, 4311, 17, 916, 318, 225, 88, 76, 73, 17410, 6831, 18, 203, 521, 4311, 17, 916, 17410, 6831, 504, 652, 22260, 3141, 16, 290, 225, 88, 76, 73, 2151, 504, 3077, 8412, 709, 1324, 5971, 17410, 6831, 286, 543, 717, 16, 1315, 1059, 658, 2723, 18, 203, 27744, 1969, 975, 1182, 225, 88, 76, 73, 910, 4399, 423, 18864, 290, 4477, 723, 2145, 519, 3952, 18, 203, 6, 43540, 18198, 459, 339, 2758, 326, 1324, 286, 1204, 12188, 290, 2165, 658, 225, 88, 76, 73, 2184, 292, 2723, 18, 9741, 16, 4311, 17, 916, 24328, 489, 10634, 459, 339, 12517, 524, 286, 798, 10081, 3074, 16, 290, 225, 88, 76, 73, 1519, 17, 286, 1583, 17, 2996, 17, 10762, 459, 339, 3884, 4311, 17, 916, 18198, 2670, 3567, 4584, 293, 8248, 18, 203, 6, 1200, 905, 3881, 225, 88, 76, 73, 2707, 292, 225, 88, 76, 73, 5971, 290, 4311, 17, 916, 517, 459, 449, 1702, 609, 33709, 955, 359, 2078, 4065, 18864, 16, 17659, 58, 290, 6202, 628, 4460, 345, 371, 568, 1712, 286, 3028, 2645, 6726, 291, 225, 88, 76, 73, 4357, 18, 203, 6, 521, 1398, 292, 4399, 803, 18198, 459, 1369, 286, 225, 88, 76, 73, 1489, 1310, 459, 18791, 5073, 325, 225, 88, 76, 73, 40539, 1556, 203, 521, 2707, 5971, 18198, 318, 2648, 286, 427, 568, 17667, 8945, 325, 1216, 581, 3529, 5971, 18864, 345, 39684, 18, 3439, 602, 225, 88, 76, 73, 2107, 3308, 12228, 38417, 225, 88, 76, 73, 745, 2078, 12029, 292, 5971, 1653, 325, 1172, 4357, 526, 745, 2078, 22261, 16, 517, 1966, 286, 1172, 4357, 526, 13987, 16, 449, 225, 69, 2013, 1715, 292, 5971, 385, 4997, 431, 4791, 3308, 3994, 18, 203, 6, 521, 24246, 292, 5971, 18198, 459, 568, 5073, 325, 573, 39314, 18864, 459, 39684, 290, 708, 6936, 225, 88, 76, 73, 20690, 427, 652, 18, 996, 225, 88, 76, 73, 18198, 502, 449, 2200, 225, 88, 76, 73, 41490, 39314, 18864, 16, 225, 88, 76, 73, 4399, 459, 339, 3600, 2670, 3567, 4584, 293, 7735, 18, 203, 7683, 660, 526, 225, 88, 76, 73, 2809, 292, 631, 4311, 17474, 18, 1099, 631, 17474, 16254, 16, 225, 88, 76, 73, 2707, 292, 225, 88, 76, 73, 18198, 504, 225, 88, 76, 73, 2778, 286, 1626, 16, 3567, 4584, 293, 8248, 18, 203, 6, 2628, 1856, 16, 225, 88, 76, 73, 1474, 4311, 17, 916, 18198, 2471, 286, 1369, 877, 4399, 1584, 479, 31815, 17474, 18, 1790, 16, 691, 225, 69, 631, 15229, 28273, 345, 424, 396, 6061, 1293, 13, 19184, 22451, 2758, 431, 4311, 17, 916, 18198, 388, 3529, 4311, 17, 916, 13323, 16, 225, 88, 76, 73, 3343, 783, 2678, 1620, 4293, 2670, 458, 1723, 18, 203, 14058, 361, 326, 4311, 17, 916, 203, 4256, 479, 877, 3407, 16, 660, 1551, 286, 339, 225, 69, 11160, 291, 1715, 318, 14052, 18, 557, 442, 1715, 16, 345, 459, 1940, 2709, 5844, 1353, 291, 1128, 286, 3613, 443, 423, 225, 88, 76, 73, 3952, 292, 4311, 17, 916, 18, 203, 6, 16766, 16, 225, 88, 76, 73, 1179, 3874, 318, 286, 15006, 405, 1584, 4311, 17, 916, 290, 225, 88, 76, 73, 5971, 18, 9741, 16, 225, 88, 76, 73, 1866, 14738, 16, 38785, 290, 1498, 5599, 1056, 11, 459, 4458, 291, 1128, 18, 996, 442, 318, 449, 1796, 290, 225, 88, 76, 73, 18639, 318, 291, 17159, 10051, 292, 4242, 15495, 16, 225, 88, 76, 73, 541, 17, 11314, 1866, 14058, 361, 11, 459, 1303, 698, 2797, 2670, 3567, 4584, 293, 8248, 18, 203, 6, 1200, 459, 1706, 5844, 955, 359, 10240, 292, 2930, 4179, 2972, 16, 14381, 2245, 11757, 291, 3152, 383, 864, 2972, 292, 7156, 10578, 16, 1376, 423, 965, 16, 10707, 398, 2988, 5514, 16, 290, 14381, 11538, 16956, 326, 864, 17, 20453, 10551, 955, 359, 49971, 18, 1790, 16, 691, 442, 318, 449, 1796, 543, 29134, 8753, 371, 2648, 1556, 203, 2628, 670, 1071, 442, 1940, 326, 13085, 1388, 10041, 292, 7558, 35, 203, 16766, 16, 23558, 423, 225, 88, 76, 73, 18924, 15875, 3348, 326, 9335, 21268, 396, 5995, 10053, 13, 8407, 345, 408, 783, 821, 384, 16, 1318, 286, 1148, 16, 1318, 4311, 17, 916, 4959, 26873, 619, 927, 423, 2485, 18, 203, 7148, 4357, 16, 225, 88, 76, 73, 1319, 292, 3225, 4311, 17, 916, 4959, 26873, 23079, 383, 581, 832, 16, 5297, 18, 203, 1371, 345, 22111, 318, 1054, 16, 225, 88, 76, 73, 18639, 459, 2613, 339, 1316, 286, 15363, 691, 225, 88, 76, 73, 1319, 292, 4311, 17, 916, 3104, 4819, 383, 225, 88, 76, 73, 3151, 991, 292, 803, 26976, 18, 1218, 691, 3225, 4959, 26873, 2124, 225, 88, 76, 73, 6440, 991, 292, 225, 88, 76, 73, 2609, 20690, 16, 1148, 16, 1318, 4959, 26873, 225, 69, 927, 16, 225, 88, 76, 73, 18639, 703, 339, 15495, 18, 203, 8935, 4584, 293, 8407, 442, 703, 2613, 1873, 291, 225, 69, 8958, 15918, 292, 531, 6899, 1056, 18, 203, 1266, 526, 568, 1263, 286, 3639, 345, 803, 20690, 770, 1706, 4311, 17, 916, 3104, 18 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 449, 1248, 940, 517, 715, 225, 88, 76, 73, 1054, 2487, 18, 4900, 291, 225, 69, 1162, 2320, 555, 290, 6630, 555, 16, 313, 459, 1290, 754, 46773, 488, 545, 1076, 203, 521, 1244, 2765, 225, 69, 1547, 286, 225, 69, 1250, 4009, 357, 16, 517, 16, 19580, 16, 225, 88, 76, 73, 1547, 786, 2736, 2016, 18, 203, 20263, 345, 357, 318, 959, 291, 3671, 4525, 225, 69, 1128, 449, 1712, 326, 709, 25521, 292, 6142, 4728, 4525, 357, 703, 339, 225, 69, 2838, 16464, 3259, 596, 3110, 780, 644, 286, 1934, 286, 11458, 633, 22246, 413, 1249, 357, 18, 3783, 3976, 654, 4874, 581, 225, 88, 76, 73, 2371, 12338, 326, 31915, 357, 18, 203, 3018, 857, 961, 225, 69, 3259, 291, 225, 69, 4292, 4525, 654, 4292, 4525, 345, 12212, 709, 1778, 664, 1361, 17, 6553, 6316, 318, 1541, 225, 69, 16464, 932, 18, 203, 1926, 18, 332, 22537, 504, 11353, 18, 203, 22509, 487, 1812, 1447, 278, 1655, 9951, 22764, 377, 30, 5592, 30, 564, 3242, 848, 3465, 24453, 203, 38450, 468, 12121, 3037, 318, 5746, 35138, 16, 24006, 346, 22246, 413, 16, 1054, 13442, 22416, 203, 43, 14926, 11, 82, 1911, 31614, 203, 10371, 6422, 318, 225, 69, 22177, 1403, 1727, 1627, 18, 601, 6019, 225, 69, 1403, 1128, 291, 225, 88, 76, 73, 2328, 292, 798, 23849, 952, 292, 225, 88, 76, 73, 4580, 292, 225, 88, 76, 73, 473, 1082, 399, 290, 709, 11406, 16, 517, 4492, 5, 357, 318, 554, 2892, 347, 264, 323, 1128, 650, 11131, 388, 2762, 371, 6478, 291, 346, 709, 7676, 18, 203, 1905, 798, 6941, 225, 88, 76, 73, 2441, 286, 1502, 2347, 1817, 39177, 16, 21726, 2988, 16, 31696, 10951, 16, 290, 17645, 3687, 11131, 35, 3865, 16, 17645, 3687, 11131, 783, 449, 339, 345, 2078, 325, 225, 88, 76, 73, 3224, 4692, 517, 225, 69, 563, 2681, 326, 2027, 6422, 352, 87, 34019, 327, 438, 4138, 2891, 286, 787, 3687, 4960, 2883, 286, 623, 10362, 18, 203, 1109, 1543, 688, 745, 3506, 6941, 16, 48658, 1752, 291, 1935, 16, 544, 813, 286, 623, 524, 286, 225, 88, 76, 73, 1868, 2595, 290, 1449, 1060, 346, 225, 69, 3706, 292, 4522, 291, 519, 1032, 16, 1109, 928, 6944, 11312, 10498, 18, 731, 2404, 225, 69, 616, 41947, 4960, 1670, 550, 383, 10498, 24456, 25979, 15309, 291, 34786, 18, 203, 1905, 2399, 6514, 16, 19198, 286, 522, 3224, 1427, 25543, 290, 225, 69, 3122, 286, 2883, 225, 69, 3687, 4960, 292, 519, 2947, 18, 616, 6580, 314, 2421, 225, 69, 1128, 827, 408, 882, 427, 629, 1189, 16, 1109, 928, 10498, 18, 203, 38243, 7208, 225, 88, 76, 73, 7706, 952, 357, 307, 10324, 522, 10614, 325, 6116, 21272, 3993, 18, 409, 34019, 327, 438, 4138, 318, 4246, 326, 27771, 2027, 6422, 352, 87, 7128, 5508, 18, 10498, 1723, 345, 16, 691, 6413, 16, 458, 703, 1934, 286, 2688, 5538, 326, 225, 88, 76, 73, 2090, 8630, 18, 731, 568, 30480, 5486, 225, 88, 76, 73, 2090, 8630, 965, 423, 14035, 286, 723, 1945, 10118, 13465, 18, 203, 1109, 521, 1095, 325, 2794, 1723, 225, 88, 76, 73, 2763, 6965, 459, 22969, 1690, 10761, 16, 1109, 928, 10498, 18, 616, 6580, 691, 225, 88, 76, 73, 2090, 8630, 318, 291, 14035, 357, 424, 352, 88, 502, 345, 28955, 10498, 318, 3711, 77, 82, 396, 40827, 13, 325, 522, 372, 4960, 17, 762, 7050, 19969, 286, 723, 950, 1419, 10362, 18, 203, 11168, 408, 3182, 345, 10498, 400, 695, 337, 568, 2765, 225, 69, 32959, 286, 1419, 225, 69, 11192, 287, 809, 48123, 35, 409, 11318, 10910, 385, 291, 225, 88, 76, 73, 2587, 3077, 952, 225, 88, 76, 73, 5316, 8975, 6142, 1250, 318, 6954, 16842, 31, 225, 88, 76, 73, 6705, 17, 16275, 21863, 7733, 504, 6204, 10419, 6133, 290, 6433, 23811, 17, 6036, 8841, 17, 10852, 11412, 291, 3671, 290, 7942, 2214, 371, 17612, 225, 88, 76, 73, 6728, 1297, 18, 203, 988, 2795, 691, 225, 88, 76, 73, 11192, 287, 809, 48123, 345, 10498, 394, 1387, 1047, 706, 318, 225, 88, 76, 73, 1229, 909, 18, 203, 22509, 487, 1812, 1447, 486, 3111, 10166, 20589, 22764, 1814, 30, 6011, 30, 564, 714, 384, 3465, 24453, 203, 38450, 468, 12121, 3037, 14035, 16, 490, 50111, 809, 48123, 16, 2027, 6422, 16, 1727, 7676, 203, 15092, 16, 3436, 2427, 3384, 203, 43, 1350, 11, 36107, 35, 203, 13133, 905, 449, 339, 11411, 346, 689, 5147, 421, 844, 2656, 203, 3134, 318, 225, 88, 76, 73, 41463, 3525, 292, 9492, 40987, 82, 526, 1866, 40372, 8890, 8904, 409, 609, 318, 225, 69, 4337, 431, 646, 349, 356, 5325, 16, 15074, 333, 503, 432, 743, 16, 1054, 13442, 6556, 8645, 1131, 290, 16255, 38888, 15489, 286, 499, 524, 286, 519, 785, 16817, 286, 3835, 28204, 16, 691, 314, 4484, 519, 24951, 18, 203, 6, 22784, 38706, 6, 318, 670, 36639, 935, 7936, 1740, 40987, 82, 526, 9945, 291, 225, 88, 76, 73, 1172, 2754, 292, 225, 88, 76, 73, 3486, 12561, 3224, 18, 557, 225, 88, 76, 73, 3982, 16, 28964, 371, 928, 286, 499, 38706, 650, 544, 5008, 423, 225, 88, 76, 73, 23923, 290, 499, 706, 325, 519, 884, 16, 2681, 714, 477, 290, 3082, 31956, 18, 5502, 286, 442, 16, 357, 526, 225, 88, 76, 73, 31468, 11746, 596, 371, 16363, 286, 1191, 38706, 31, 4324, 225, 88, 76, 73, 15489, 643, 3347, 292, 8431, 478, 29265, 16, 25416, 1571, 526, 2974, 35, 203, 829, 654, 1465, 16, 1792, 785, 286, 40987, 82, 526, 1184, 30, 203, 39098, 318, 961, 3230, 527, 423, 4618, 286, 5886, 18, 1946, 291, 1374, 286, 4484, 225, 88, 76, 73, 5176, 1184, 17, 4391, 1255, 1569, 18, 409, 2677, 12816, 11970, 504, 652, 291, 3295, 3890, 359, 225, 69, 8863, 16, 290, 4774, 286, 9845, 225, 69, 33753, 292, 2155, 2949, 18, 203, 37, 16210, 812, 724, 8093, 292, 377, 18, 25, 2372, 9626, 504, 652, 7392, 1608, 225, 88, 76, 73, 1150, 724, 1177, 359, 616, 26260, 40698, 1395, 225, 88, 76, 73, 19733, 292, 225, 88, 76, 73, 2775, 5122, 18, 9317, 351, 18, 13972, 18, 203, 52, 21473, 644, 225 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 88, 76, 73, 36593, 43223, 4116, 270, 7510, 22334, 291, 8169, 18, 203, 203, 13403, 203, 521, 6128, 321, 758, 19751, 5595, 2916, 318, 2558, 291, 225, 69, 7613, 1389, 292, 32623, 2474, 19658, 16, 325, 2459, 1752, 292, 9049, 43223, 4116, 270, 4085, 5898, 292, 2217, 2474, 19658, 4085, 18, 225, 409, 2646, 318, 225, 69, 5159, 292, 1227, 5690, 290, 45815, 16, 346, 225, 88, 76, 73, 1227, 5690, 4176, 6313, 286, 225, 88, 76, 73, 2441, 18, 225, 332, 1240, 14491, 292, 4700, 318, 2558, 325, 225, 88, 76, 73, 3686, 1752, 292, 225, 88, 76, 73, 2441, 16, 423, 573, 225, 69, 2774, 292, 10948, 2802, 10011, 1808, 225, 88, 76, 73, 6234, 18, 203, 203, 6355, 203, 521, 6128, 321, 758, 19751, 5595, 2916, 385, 3909, 291, 10708, 431, 5857, 290, 18363, 7383, 993, 496, 16, 596, 5890, 290, 5583, 225, 88, 76, 73, 3084, 1535, 225, 69, 1648, 7125, 292, 519, 2171, 385, 49869, 291, 2153, 16, 3082, 225, 88, 76, 73, 6128, 321, 758, 4804, 8221, 18, 409, 11263, 5843, 292, 225, 88, 76, 73, 1389, 318, 225, 88, 76, 73, 36593, 43223, 4116, 270, 3010, 16, 225, 69, 7986, 2296, 797, 17, 16764, 10767, 1577, 18, 225, 601, 385, 2387, 581, 1946, 10266, 431, 5442, 43223, 4116, 270, 225, 88, 76, 73, 724, 9049, 292, 16904, 290, 225, 88, 76, 73, 724, 6619, 2268, 292, 2474, 19658, 18, 225, 43223, 4116, 270, 2387, 225, 69, 1577, 326, 3544, 396, 1325, 2736, 5954, 13, 581, 1946, 12776, 16, 290, 1708, 2387, 5631, 326, 1040, 292, 522, 1560, 10851, 18, 225, 1728, 3198, 36593, 385, 6069, 225, 69, 15701, 16, 517, 385, 906, 32852, 291, 1201, 2772, 2148, 345, 5981, 950, 286, 3289, 706, 17242, 292, 522, 2171, 16, 290, 1736, 522, 4463, 935, 335, 2373, 2971, 522, 2371, 291, 48652, 18, 225, 557, 1408, 286, 225, 88, 76, 73, 1577, 16, 225, 88, 76, 73, 2646, 568, 2626, 225, 69, 591, 88, 76, 17, 4577, 16981, 16, 2613, 2387, 291, 3283, 17, 4577, 431, 6130, 9660, 18, 203, 203, 3591, 568, 203, 9937, 8506, 292, 9715, 11585, 15547, 291, 43223, 4116, 270, 2307, 16, 16904, 203, 203, 1987, 203, 203, 3257, 2477, 203, 21823, 321, 758, 19751, 5595, 2916, 2343, 1637, 203, 203, 42, 13044, 325, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 291, 16904, 203, 34193, 11067, 325, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 291, 16904, 203, 9937, 8506, 292, 9715, 11585, 291, 43223, 4116, 270, 2307, 16, 16904, 203, 29898, 6564, 291, 16904, 203, 5953, 6682, 25773, 6564, 291, 16904, 203, 21912, 290, 6495, 3500, 291, 1946, 10266, 203, 21912, 290, 6495, 291, 2474, 19658, 16, 16904, 203, 2419, 10266, 9011, 291, 16904, 203, 30065, 290, 46958, 291, 16904, 2, 0, 1759, 1021, 333, 13692, 322, 12893, 319, 1655, 77, 349, 267, 47931, 7436, 3049, 16, 568, 1712, 359, 5839, 334, 320, 16, 318, 225, 69, 20118, 5813, 3559, 2558, 383, 2349, 24210, 16, 16016, 18, 601, 318, 225, 69, 39968, 3559, 292, 16016, 1495, 292, 13975, 3790, 18, 203, 203, 6355, 1563, 203, 521, 9080, 385, 724, 5292, 359, 225, 69, 20118, 18225, 346, 225, 88, 76, 73, 1565, 689, 8019, 3390, 292, 13975, 3790, 16, 2349, 24210, 6, 291, 6336, 18, 557, 2987, 16, 357, 1981, 754, 225, 69, 5671, 2874, 13363, 290, 385, 14070, 359, 225, 69, 3559, 18, 203, 203, 30895, 14618, 1563, 203, 16207, 334, 320, 2221, 1737, 11566, 292, 4860, 291, 5813, 3064, 16, 3055, 291, 279, 358, 1813, 26602, 1374, 30, 203, 47424, 291, 47931, 7436, 396, 39381, 291, 47214, 7436, 13, 203, 47424, 291, 47931, 7436, 396, 39381, 291, 25263, 7436, 13, 203, 47424, 291, 47931, 7436, 396, 39381, 291, 23902, 9601, 7436, 13, 203, 47424, 291, 47931, 7436, 396, 39381, 291, 577, 8107, 7436, 13, 203, 47424, 291, 12834, 290, 14085, 7436, 203, 203, 19948, 3754, 1563, 203, 12408, 87, 225, 69, 1241, 292, 2863, 3084, 3577, 291, 225, 88, 76, 73, 5671, 16, 3055, 291, 279, 358, 1813, 26602, 1374, 30, 203, 14794, 3586, 203, 14407, 779, 4668, 203, 25263, 3586, 203, 11910, 3586, 203, 5739, 290, 12297, 3586, 203, 980, 93, 1082, 203, 7741, 13950, 18, 6643, 203, 6610, 3586, 203, 528, 71, 354, 76, 1082, 203, 203, 19948, 5209, 203, 203, 32106, 5209, 1563, 203, 16207, 334, 320, 504, 5896, 5209, 326, 709, 2497, 1463, 18, 29103, 405, 41148, 6844, 326, 4062, 290, 4750, 1463, 371, 1349, 291, 11734, 4767, 18, 409, 6646, 11, 6582, 43931, 326, 1060, 8428, 1463, 290, 225, 88, 76, 73, 4469, 11, 6582, 5631, 1060, 8536, 1463, 18, 203, 203, 26697, 1563, 203, 521, 3559, 504, 11609, 286, 2500, 3897, 15218, 291, 1631, 292, 5662, 9571, 290, 2621, 8275, 326, 709, 1463, 290, 6752, 18, 203, 203, 1987, 1563, 203, 21629, 712, 3621, 291, 16016, 203, 11953, 3034, 27596, 292, 16016, 203, 5953, 296, 2186, 291, 16016, 203, 8766, 9011, 291, 16016, 203, 27379, 6297, 3178, 291, 2987, 203, 5953, 296, 2186, 16878, 286, 16016, 1495, 292, 13975, 3790, 2, 0, 18190, 46841, 468, 396, 4644, 1188, 16, 20567, 696, 2494, 832, 16, 9403, 13, 385, 279, 1644, 3559, 2746, 2946, 290, 3561, 18, 731, 3220, 359, 225, 88, 76, 73, 1357, 2746, 3561, 383, 11697, 1495, 291, 4365, 16, 389, 18, 39, 18, 423, 17003, 286, 17138, 16, 36174, 225, 69, 1514, 292, 2272, 1180, 3732, 1180, 23, 18, 203, 203, 15857, 72, 468, 385, 3157, 291, 11224, 290, 5789, 527, 291, 5402, 18, 731, 5801, 27187, 1495, 16, 827, 458, 2533, 2746, 359, 279, 991, 423, 18369, 286, 17339, 18, 9931, 522, 13633, 291, 17003, 16, 458, 385, 6568, 1357, 3561, 291, 2746, 290, 2414, 383, 11697, 18, 1979, 2176, 806, 383, 11697, 16, 46841, 468, 3230, 325, 286, 6093, 2361, 1495, 291, 17555, 286, 548, 359, 7964, 2746, 3561, 811, 9560, 395, 18, 17829, 290, 1708, 13331, 18578, 36081, 3757, 18, 46841, 468, 3413, 10502, 806, 383, 6093, 2361, 16, 1154, 573, 595, 385, 568, 1357, 3561, 291, 18902, 16, 2414, 16, 290, 16629, 290, 279, 10935, 7682, 292, 1489, 16, 3287, 2528, 16, 290, 14841, 18, 557, 12812, 16 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 991, 527, 29264, 290, 225, 88, 76, 73, 15435, 459, 2454, 427, 279, 874, 8249, 1715, 1584, 313, 18, 203, 2628, 16, 357, 3177, 286, 554, 292, 225, 88, 76, 73, 6715, 6566, 314, 427, 45895, 17, 264, 901, 532, 286, 313, 18, 1605, 17375, 7106, 1303, 286, 1015, 16, 14458, 18, 996, 357, 318, 1334, 664, 313, 961, 19538, 388, 2745, 691, 544, 424, 2454, 1943, 398, 965, 388, 3897, 1342, 225, 69, 8579, 16, 313, 424, 39815, 9458, 345, 313, 3229, 286, 427, 225, 69, 8128, 1552, 724, 286, 11170, 313, 18, 1218, 16, 905, 544, 4260, 519, 836, 291, 16, 313, 905, 1788, 8020, 290, 2037, 524, 292, 519, 836, 290, 449, 3466, 26777, 587, 18, 203, 4280, 1477, 16, 871, 7313, 398, 3993, 318, 6887, 1796, 18, 5634, 13508, 2971, 624, 650, 357, 318, 715, 313, 290, 1690, 10761, 318, 2454, 12662, 17, 11475, 93, 18, 203, 1905, 225, 88, 76, 73, 2536, 1806, 2971, 573, 442, 2535, 318, 1653, 16, 2330, 499, 286, 203, 1553, 14828, 37742, 203, 3113, 291, 30, 39925, 290, 22269, 203, 8209, 2272, 16, 2730, 203, 26763, 30, 2636, 2272, 16, 2730, 1025, 30, 7988, 714, 203, 11663, 371, 4595, 18, 203, 16910, 20465, 999, 4023, 999, 7219, 6023, 203, 5637, 2812, 203, 5548, 10066, 6766, 10066, 11474, 14595, 12463, 10512, 21507, 203, 5637, 2812, 2861, 203, 39047, 203, 47736, 3569, 396, 4425, 27, 13, 203, 7097, 4318, 290, 22269, 396, 26332, 13, 203, 41303, 9577, 290, 5630, 24314, 44534, 396, 1878, 22, 13, 203, 21290, 1007, 396, 41440, 13, 203, 47573, 44534, 396, 4299, 21, 13, 203, 47929, 2619, 4829, 396, 3859, 26, 13, 203, 17358, 2722, 870, 44534, 396, 2, 0, 9694, 524, 225, 88, 76, 73, 602, 3008, 16, 408, 427, 652, 1376, 541, 1406, 286, 3140, 6912, 291, 531, 25435, 3528, 17, 1792, 225, 88, 76, 73, 1054, 1216, 290, 1482, 225, 88, 76, 73, 910, 5133, 326, 531, 2076, 16, 13860, 531, 9686, 16, 39606, 15849, 326, 1216, 1036, 290, 660, 16, 3923, 531, 2076, 1297, 1877, 16, 14199, 961, 23334, 2136, 290, 7247, 346, 12709, 28351, 290, 8387, 18, 203, 5632, 16, 1154, 442, 2675, 8965, 16, 314, 1033, 408, 427, 225, 88, 76, 73, 2516, 286, 6563, 531, 12147, 346, 1907, 290, 2276, 346, 531, 6583, 2960, 290, 3366, 18, 314, 2837, 326, 3000, 16, 952, 314, 714, 23921, 968, 225, 69, 1889, 1054, 915, 286, 6592, 670, 318, 1142, 1263, 291, 551, 969, 18, 314, 714, 1336, 313, 427, 345, 3122, 286, 502, 357, 1154, 442, 5176, 1569, 18, 2, 0, 2598, 554, 1570, 388, 1378, 408, 352, 315, 479, 652, 7349, 282, 431, 18759, 49961, 272, 18, 601, 882, 339, 10008, 4840, 292, 3492, 426, 16, 26631, 25026, 16, 388, 3915, 874, 4780, 9381, 18, 1218, 4817, 357, 318, 1102, 544, 371, 479, 4613, 18, 2894, 371, 225, 88, 76, 73, 1136, 910, 39349, 49961, 272, 1801, 18, 203, 39, 329, 669, 1473, 6852, 426, 203, 829, 16566, 16, 797, 8805, 12560, 13570, 286, 984, 36048, 12580, 18, 409, 724, 11730, 385, 292, 225, 69, 1840, 2448, 42574, 225, 69, 1275, 292, 9868, 3492, 426, 18, 601, 385, 225, 88, 76, 73, 724, 292, 2176, 3635, 16, 18973, 1712, 359, 225, 88, 76, 73, 27872, 669, 1473, 3492, 426, 18, 1108, 7345, 3295, 1418, 326, 1579, 806, 16, 346, 798, 13447, 624, 359, 4840, 326, 225, 88, 76, 73, 8016, 292, 3492, 426, 18, 409, 1361, 1500, 5471, 225, 69, 49144, 28332, 450, 346, 225, 69, 2448, 3249, 31517, 694, 13775, 18, 409, 3635, 643, 16080, 431, 1579, 20828, 1198, 3227, 16, 596, 928, 544, 984, 786, 5649, 292, 961, 11458, 18, 409, 46142, 669, 1473, 3492, 426, 2524, 225, 69, 1171, 292, 22378, 291, 225, 88, 76, 73, 3261, 18, 1218, 544, 26240, 423, 4923, 819, 225, 88, 76, 73, 10754, 87, 18, 601, 385, 770, 291, 225, 88, 76, 73, 6336, 87, 345, 357, 385, 6807, 359, 225, 69, 49961, 18, 8984, 806, 819, 357, 1698, 16, 225, 88, 76, 73, 797, 4469, 2912, 10582, 544, 643, 715, 20248, 2150, 17, 5129, 292, 3492, 426, 18, 4536, 544, 643, 40001, 438, 345, 225, 88, 76, 73, 8511, 290, 2243, 1500, 3461, 352, 88, 11458, 18, 1108, 1230, 928, 357, 2719, 1229, 3492, 426, 18, 203, 521, 3865, 1542, 12713, 203, 521, 761, 286, 10043, 318, 279, 6717, 8373, 290, 225, 69, 26691, 15102, 696, 517, 357, 1698, 706, 359, 715, 554, 292, 225, 88, 76, 73, 798, 8061, 39349, 49961, 272, 18, 409, 8373, 318, 345, 225, 88, 76, 73, 8670, 4970, 1912, 33535, 225, 69, 8120, 541, 2413, 698, 225, 88, 76, 73, 5803, 345, 357, 8267, 754, 698, 10043, 18, 409, 8120, 385, 928, 286, 339, 291, 42874, 18, 332, 6039, 3692, 385, 21537, 2413, 698, 225, 88, 76, 73, 8120, 16, 827, 357, 6701, 527, 225, 88, 76, 73, 5113, 292, 8233, 292, 17854, 961, 35242, 18, 738, 6039, 3952, 2678, 754, 3298, 3798, 9278, 291, 225, 88, 76, 73, 3283, 5000, 87, 16, 346, 798, 18342, 357, 286, 339, 4840, 292, 225, 69, 20514, 286, 10043, 18, 1218, 225, 88, 76, 73, 6039, 385, 4619, 1100, 286, 339, 12240, 1986, 3912, 423, 225, 69, 10547, 10586, 3648, 18, 601, 385, 225, 69, 2315, 49961, 18, 1238, 371, 798, 1046, 6963, 292, 225, 88, 76, 73, 8373, 18, 557, 7884, 16, 279, 1644, 8450, 7619, 225, 69, 1891, 345, 29391, 3544, 644, 5588, 225, 69, 1275, 292, 26637, 1434, 225, 88, 76, 73, 8120, 18, 203, 521, 25249, 23701, 203, 521, 25249, 8789, 385, 554, 292, 225, 88, 76, 73, 745, 3141, 39349, 49961, 272, 291, 2084, 18, 557, 225, 88, 76, 73, 22461, 87, 16, 225, 69, 563, 3249, 4426, 25668, 2267, 225, 69, 11458, 35313, 696, 543, 5655, 225, 69, 11458, 35313, 292, 225, 69, 8789, 18, 731, 857, 11002, 225, 88, 76, 73, 8789, 325, 522, 23999, 3558, 291, 25249, 16, 1063, 2229, 18, 557, 30379, 16, 225, 88, 76, 73, 8789, 385, 5476, 431, 4540, 19062, 225, 69, 761, 325, 225, 88, 76, 73, 3558, 18, 6143, 292, 225, 88, 76, 73, 8789, 2678, 3952, 16, 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, 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, 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 ]
[ 1545, 691, 313, 813, 286, 1419, 1344, 18, 203, 521, 724, 318, 16, 1656, 318, 6867, 541, 1263, 35, 7583, 16, 6867, 352, 87, 225, 69, 1149, 292, 26681, 654, 2123, 2247, 1816, 16, 388, 3463, 16, 326, 225, 69, 2247, 2396, 325, 398, 1637, 18, 1366, 786, 2669, 670, 595, 292, 225, 88, 76, 73, 927, 388, 670, 1868, 717, 371, 291, 16, 650, 544, 352, 264, 7367, 16, 313, 424, 339, 1100, 16, 313, 352, 264, 1792, 345, 4539, 16, 290, 629, 292, 357, 459, 991, 527, 20827, 698, 3019, 18, 203, 521, 1358, 1957, 286, 4499, 1344, 318, 6524, 398, 5269, 2503, 18, 1108, 22264, 225, 88, 76, 73, 2247, 326, 479, 15025, 18, 1366, 650, 313, 764, 383, 225, 88, 76, 73, 11065, 16, 544, 352, 264, 279, 8192, 832, 18, 25, 5256, 3577, 3298, 2798, 16, 290, 3549, 352, 87, 2247, 1877, 326, 45313, 318, 19376, 8159, 1666, 352, 87, 10593, 1188, 18, 27, 524, 292, 1136, 5, 1666, 352, 87, 279, 2910, 1873, 18, 203, 2702, 715, 961, 325, 660, 2747, 352, 88, 1796, 18, 2097, 2067, 318, 1995, 5, 4020, 4600, 18, 27, 9, 292, 717, 2920, 325, 2067, 554, 16, 3060, 286, 12669, 5067, 38012, 18, 203, 521, 2630, 1957, 318, 39464, 225, 88, 76, 73, 6867, 4769, 286, 1419, 1344, 18, 203, 3134, 292, 624, 318, 8820, 12550, 18, 3439, 1361, 7574, 1817, 10593, 225, 69, 1148, 9, 8680, 291, 22975, 16, 3060, 286, 11083, 23121, 18, 1366, 313, 813, 286, 744, 1336, 398, 1637, 11986, 2823, 18, 203, 521, 1358, 909, 314, 813, 313, 286, 764, 383, 318, 9663, 13864, 10192, 18, 7583, 16, 225, 88, 76, 73, 1319, 292, 717, 345, 371, 1249, 3494, 4089, 318, 13246, 1191, 527, 18, 1366, 940, 541, 345, 3549, 504, 225, 69, 3494, 17, 14081, 9052, 18, 203, 521, 1358, 6139, 345, 314, 813, 313, 286, 764, 383, 318, 5051, 607, 11979, 18, 409, 543, 3301, 345, 313, 499, 698, 325, 1040, 2111, 1060, 225, 88, 76, 73, 1150, 5361, 16, 225, 88, 76, 73, 1317, 313, 352, 264, 1191, 286, 991, 527, 11652, 18, 11464, 308, 691, 313, 499, 1142, 3416, 290, 1702, 225, 69, 1171, 292, 7152, 5974, 16, 517, 313, 943, 352, 88, 499, 291, 17, 13405, 325, 479, 292, 624, 18, 203, 6050, 6139, 318, 423, 357, 352, 87, 479, 581, 12024, 35064, 18, 409, 2736, 398, 12024, 4980, 16, 225, 88, 76, 73, 3151, 398, 16342, 371, 18, 1366, 313, 813, 286, 1209, 398, 12024, 1700, 290, 286, 225, 88, 76, 73, 1570, 18, 203, 6050, 909, 286, 764, 383, 318, 11979, 17, 39539, 18, 18250, 6373, 16, 225, 88, 76, 73, 2736, 398, 2094, 16, 225, 88, 76, 73, 543, 1670, 7644, 313, 352, 264, 1191, 286, 991, 527, 1792, 16, 290, 225, 88, 76, 73, 1317, 313, 352, 264, 1191, 286, 991, 527, 1870, 18, 203, 7023, 20032, 371, 1378, 1388, 6139, 18, 1009, 359, 313, 424, 821, 423, 442, 7690, 431, 36470, 427, 543, 292, 279, 2707, 325, 398, 16342, 720, 1507, 17, 7910, 6867, 31, 345, 352, 87, 1792, 3345, 286, 1547, 286, 313, 16, 357, 352, 87, 2739, 1263, 18, 203, 2702, 554, 909, 345, 823, 1162, 6867, 87, 764, 383, 318, 225, 88, 76, 73, 1420, 292, 2211, 290, 3041, 12110, 18, 409, 403, 17, 27387, 292, 3549, 1912, 928, 16, 616, 4877, 1352, 371, 225, 88, 76, 73, 3125, 16, 449, 225, 88, 76, 73, 2163, 1076, 616, 4877, 1352, 371, 708, 313, 3879, 524, 225, 88, 76, 73, 42262, 9231, 1076, 203, 4280, 1477, 2848, 318, 225, 69, 1388, 2809, 359, 761, 16, 541, 313, 813, 286, 744, 1336, 313, 352, 264, 1249, 279, 25498, 16229, 16, 541, 345, 836, 313, 623, 345, 50007, 18, 4626, 650, 717, 499, 286, 398, 1622, 290, 313, 352, 264, 449, 1249, 25498, 16, 313, 352, 264, 543, 2648, 286, 623, 225, 69, 10240, 18, 203, 10616, 9273, 4859, 26022, 10713, 290, 39046, 15900, 1294, 21228, 286, 6867, 16, 1838, 318, 6867, 16, 1838, 318, 6867, 35, 1294, 21228, 286, 6867, 9829, 225, 69, 3465, 203, 1833, 286, 27472, 279, 6867, 17143, 291, 2079, 203, 7800, 3843, 16, 2079, 2427, 1124, 16, 2079, 431, 10814, 203, 829, 442, 2983, 16, 314, 352, 81, 1191, 286, 4866, 313, 708, 313, 424, 1620, 279, 6867, 3106, 18, 203, 7236, 314, 352, 635, 1877, 346, 313, 551, 3925, 286, 4242, 279, 6867, 3106, 291, 2079, 18, 314, 352, 81, 1191, 286, 1877, 346, 313, 670, 2181, 292, 13354, 16, 3707, 16, 290, 1246, 313, 659, 286, 427, 286, 1142, 1973, 479, 581, 2247, 2396, 13316, 18, 2952, 1848, 398, 1622, 16, 2484, 2094, 16, 290, 1792, 398, 2477, 524, 660, 286, 4608, 325, 3549, 18, 203, 521, 724, 909, 203, 6687, 659, 286, 502, 318, 744, 1336, 313, 3736, 1246, 6867, 16, 313, 22782, 502, 357, 16, 290, 313, 22782, 623, 877, 383, 357, 18, 203, 521, 1361, 909, 16, 203, 6687, 659, 286, 502, 318, 917, 527, 225, 69, 1622, 18, 2144, 286, 49889, 18, 3735, 388, 290, 917, 527, 398, 884, 1622, 18, 601, 882, 339, 225, 69, 2535, 16, 882, 339, 225, 69, 15245, 2517, 16, 357, 2087, 352, 88, 2669, 18, 1666, 352, 87, 715, 225, 88, 76, 73, 724, 909, 313, 659, 286, 502, 18, 8864, 398, 884, 1622, 16, 313, 1825, 352, 88, 688, 708, 286, 3250, 803, 14131, 16, 2651, 16, 388, 623, 877, 383, 357, 18, 203, 521, 2630, 909, 203, 6687, 659, 286, 502, 318, 3279, 2094, 18, 1605, 313, 427, 398, 1622, 16, 691, 313, 943, 352, 88, 427, 2094, 16, 313, 352, 264, 449, 11416, 4608, 18, 1099, 225, 88, 76, 73, 3902, 3177, 16, 2094, 318, 6199, 18, 8155, 1035, 2094, 325, 4817, 313, 352, 264, 7807, 581, 18, 203, 521, 5837, 909, 203, 340, 313, 659, 286, 1127, 2477, 18, 1605, 357, 1822, 286, 1848, 2477, 16, 691, 786, 554, 352, 87, 18674, 286, 398, 1622, 16, 313, 1825, 352, 88, 4608, 18, 203, 7683, 16, 650, 313, 949, 1059, 5488, 16, 313, 424, 1353, 9348, 353, 698, 601, 352, 635, 984, 313, 479, 225, 88, 76, 73 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 325, 12152, 4488, 20413, 16, 2341, 1004, 17, 36994, 14878, 388, 11178, 31967, 28617, 16, 19335, 431, 409, 7876, 16616, 3850, 383, 6852, 9481, 49804, 4488, 20413, 18, 44381, 5582, 466, 438, 16, 5012, 3019, 6678, 16, 28739, 46126, 36903, 4343, 16, 8407, 279, 49958, 32395, 19505, 28184, 754, 3040, 16, 2413, 8296, 16, 365, 38901, 225, 88, 76, 73, 13962, 326, 225, 69, 42424, 5489, 3220, 6035, 17, 2552, 431, 6852, 9481, 49804, 4488, 20413, 21234, 18, 1515, 225, 69, 35600, 32395, 19505, 17636, 1808, 4488, 20413, 1641, 87, 352, 3599, 87, 16, 225, 69, 40604, 4090, 292, 2069, 7370, 290, 41511, 2883, 27773, 325, 225, 88, 76, 73, 609, 1752, 18, 203, 36339, 20948, 398, 962, 286, 3140, 519, 3203, 346, 225, 88, 76, 73, 3736, 2190, 290, 21573, 374, 355, 33117, 9897, 1185, 383, 6852, 9481, 49804, 4488, 20413, 18, 46249, 532, 431, 225, 69, 7215, 11527, 16, 544, 352, 635, 1973, 286, 8588, 11706, 290, 4065, 7861, 5681, 326, 11025, 1489, 16, 6277, 3380, 290, 29107, 1635, 290, 13906, 18, 203, 36978, 12466, 286, 1973, 543, 581, 225, 88, 76, 73, 374, 355, 33117, 9897, 203, 6948, 30, 28729, 45319, 1039, 8423, 18, 203, 36235, 290, 225, 88, 76, 73, 28729, 10236, 16, 8808, 203, 2091, 225, 88, 76, 73, 24889, 292, 4488, 8808, 16, 225, 88, 76, 73, 2183, 290, 9415, 16, 6301, 15655, 292, 8041, 16, 16176, 346, 225, 88, 76, 73, 280, 434, 4442, 15025, 292, 225, 88, 76, 73, 28729, 10236, 290, 30643, 2401, 2795, 345, 318, 28729, 11856, 16, 917, 225, 88, 76, 73, 3232, 326, 10105, 3901, 345, 459, 20448, 398, 1174, 14970, 286, 6319, 519, 3240, 18, 22234, 1140, 519, 12985, 346, 1004, 17, 6553, 7366, 383, 10696, 10551, 290, 12775, 18421, 383, 10640, 5068, 12546, 18, 203, 36235, 318, 225, 69, 11204, 326, 18049, 16, 7432, 3901, 326, 17617, 3074, 16, 4009, 10389, 2530, 326, 36465, 6717, 11511, 290, 225, 69, 9858, 17382, 4573, 345, 22448, 709, 32512, 1486, 18, 1542, 4336, 398, 962, 524, 292, 519, 2565, 14206, 16, 4037, 624, 346, 279, 30403, 17, 7633, 16, 2988, 17, 5023, 15526, 17469, 1509, 225, 88, 76, 73, 13332, 12538, 352, 87, 2874, 11596, 45851, 16, 33360, 2803, 1330, 527, 18, 30243, 16, 1357, 2593, 326, 8071, 6400, 13299, 290, 23564, 4858, 292, 225, 88, 76, 73, 1830, 383, 12630, 16, 225, 88, 76, 73, 7460, 38933, 5009, 18, 203, 2598, 4725, 1398, 16, 279, 13967, 2614, 5828, 2226, 1060, 225, 88, 76, 73, 1830, 346, 8041, 41144, 19416, 954, 9752, 459, 949, 398, 962, 286, 225, 88, 76, 73, 1830, 352, 87, 1174, 5068, 290, 5939, 28151, 16, 423, 225, 88, 76, 73, 640, 18, 13166, 7098, 290, 225, 88, 76, 73, 2398, 7940, 292, 8808, 16, 286, 41126, 290, 225, 88, 76, 73, 10988, 4010, 18, 6575, 225, 88, 76, 73, 927, 346, 225, 69, 31148, 17, 12745, 291, 225, 88, 76, 73, 13385, 12754, 4010, 16, 225, 69, 2090, 9715, 10361, 16, 827, 3074, 424, 3534, 658, 3617, 20700, 290, 7666, 18201, 290, 14344, 16, 290, 4167, 225, 88, 76, 73, 39754, 16, 16838, 290, 953, 14735, 345, 1695, 225, 88, 76, 73, 23431, 4524, 10800, 7399, 18, 203, 12, 32116, 13, 15526, 17469, 16, 8041, 999, 4623, 30, 13332, 12538, 396, 14902, 13, 28729, 2086, 47352, 999, 4623, 30, 28729, 11856, 17843, 203, 37, 1700, 3054, 423, 225, 88, 76, 73, 1830, 4917, 398, 1275, 286, 225, 88, 76, 73, 28729, 10236, 352, 87, 11860, 6405, 33494, 16, 10831, 7366, 290, 225, 88, 76, 73, 20789, 17, 10986, 28729, 11856, 18, 5051, 2281, 699, 459, 339, 2405, 1796, 286, 1156, 225, 88, 76, 73, 4826, 423, 225, 88, 76, 73, 41511, 9026, 325, 279, 36465, 28729, 2086, 47352, 352, 45509, 286, 225, 88, 76, 73, 11856, 2226, 18, 203, 34240, 15368, 318, 14932, 286, 631, 18230, 650, 398, 16527, 87, 371, 15570, 4673, 286, 225, 88, 76, 73, 3442, 352, 87, 1174, 33494, 16, 48932, 291, 18722, 4858, 292, 225, 88, 76, 73, 225, 88, 76, 28866, 9026, 290, 225, 88, 76, 73, 21870, 3442, 1509, 225, 88, 76, 73, 836, 16, 290, 10063, 2196, 225, 88, 76, 73, 25398, 291, 28729, 17, 263, 17, 88, 76, 73, 17, 25881, 326, 6805, 36543, 292, 3325, 17, 10466, 11264, 290, 3558, 17, 273, 17, 2490, 15520, 18, 203, 14459, 87, 424, 23040, 346, 225, 69, 7775, 4064, 8889, 225, 88, 76, 73, 26590, 383, 363, 7481, 36105, 16, 3938, 431, 225, 69, 2226, 16, 18502, 9606, 291, 1032, 16, 8407, 31866, 37734, 296, 16, 6961, 3372, 16, 11467, 37734, 296, 16366, 954, 46131, 36903, 4343, 18, 557, 225, 88, 76, 73, 12052, 29277, 16, 5891, 225, 69, 3706, 286, 398, 9081, 14970, 346, 225, 69, 2879, 3558, 17, 273, 17, 2490, 5368, 14988, 346, 363, 7481, 352, 87, 9800, 9831, 1079, 16, 3938, 431, 225, 69, 19340, 292, 519, 3325, 17, 10466, 4746, 40720, 291, 519, 7460, 39104, 23448, 17, 3381, 1136, 15841, 12168, 40720, 24165, 18, 203, 36978, 12466, 286, 821, 225, 88, 76, 73, 15526, 17469, 1185, 291, 2797, 203, 8611, 225, 88, 76, 73, 3603, 346, 443, 203, 35380, 4303, 3522, 352, 87, 3729, 9752, 962, 318, 398, 6408, 326, 8071, 3901, 1808, 3522, 18, 203, 19977, 2815, 590, 6426, 2439, 18, 5991, 999, 1970, 13812, 829, 21103, 203, 26544, 1456, 1039, 446, 16, 4136, 16, 42980, 437, 8734, 203, 96, 3303, 23, 17, 29, 3859, 17, 7068, 9946, 203, 7717, 543, 6782, 291, 36903, 3522, 352, 87, 5251, 30605, 42980, 437, 10192, 10256, 310, 17, 2009, 18, 409, 1358, 14696, 16, 1392, 56, 12141, 352, 290, 1392, 6580, 637, 11919, 371, 915, 6807, 383, 39104, 1992, 353, 356, 18, 5991, 19, 6426, 2439, 2, 0, 2428, 4844, 225, 69, 6073, 1598, 22820, 16, 724, 2410, 706, 225, 88, 76, 73, 1420, 286, 357, 18, 996, 225, 88, 76, 73, 6073, 1598, 22820, 318, 291, 225, 69, 15615, 2454, 571, 36859, 225, 88, 76, 73, 15615, 18, 996, 225, 88, 76, 73, 6073, 1598, 22820, 318, 291, 225, 69, 10946, 388, 2832, 1598, 21649, 857, 2410, 1420, 706, 383, 225, 88, 76, 73, 20198, 18399, 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, 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 ]
[ 458, 644, 797, 2314, 10851, 31, 6130, 17131, 2850, 298, 4628, 16, 596, 2154, 225, 69, 9936, 47843, 16, 290, 4426, 38179, 2850, 298, 4628, 596, 2154, 279, 6666, 291, 225, 88, 76, 73, 5138, 11212, 26766, 18, 203, 203, 1987, 203, 203, 2419, 10559, 4686, 203, 49859, 5850, 203, 12808, 717, 292, 3911, 17, 24629, 12107, 203, 21094, 8220, 7765, 292, 225, 88, 76, 73, 3395, 26740, 9515, 203, 21094, 8220, 7765, 292, 225, 88, 76, 73, 23215, 3646, 9515, 203, 21094, 8220, 30218, 886, 2, 0, 36618, 34301, 3585, 396, 3640, 2698, 3843, 16, 14732, 873, 568, 1712, 359, 13653, 332, 16, 318, 279, 1644, 10711, 596, 5789, 527, 291, 11366, 16, 16511, 290, 318, 2750, 2354, 291, 15294, 16, 10647, 18, 203, 203, 829, 9644, 16, 34301, 3585, 385, 225, 69, 11303, 2260, 292, 225, 88, 76, 73, 11988, 3539, 2804, 47790, 423, 21182, 16, 3470, 16, 573, 2765, 7280, 26676, 16, 12567, 43241, 16, 14948, 5110, 396, 49444, 9644, 13, 290, 12369, 18965, 396, 49444, 9644, 1180, 11233, 859, 557, 225, 88, 76, 73, 5969, 87, 16, 458, 2533, 359, 225, 69, 7182, 10711, 16, 857, 3989, 4117, 14253, 9383, 11, 332, 22926, 321, 46806, 8018, 290, 385, 568, 225, 69, 2260, 292, 12567, 43241, 526, 46740, 32125, 18, 731, 504, 2267, 225, 69, 2692, 292, 2353, 9459, 326, 3852, 955, 359, 3432, 7040, 44082, 16, 4584, 374, 18, 5110, 16, 290, 5075, 8379, 2196, 1761, 18, 34301, 3585, 504, 3055, 388, 795, 17, 14507, 3943, 326, 13585, 37948, 290, 12164, 6529, 18, 731, 3500, 225, 69, 1909, 326, 38094, 6978, 526, 6984, 18, 34301, 3585, 568, 19072, 346, 9640, 6429, 325, 225, 69, 3208, 292, 16130, 13313, 9430, 1456, 225, 88, 76, 73, 16419, 292, 15915, 291, 7601, 18, 203, 203, 37, 1270, 3585, 24154, 423, 8764, 870, 46005, 16, 517, 4774, 286, 5417, 18, 203, 203, 15303, 203, 203, 28159, 203, 203, 2691, 47790, 4327, 10156, 1524, 425, 23505, 28959, 574, 203, 9644, 3628, 6555, 2519, 203, 8694, 14904, 10192, 203, 7601, 6223, 994, 342, 203, 203, 46489, 4327, 8338, 6110, 13471, 19010, 203, 7752, 30343, 203, 203, 2691, 12567, 43241, 4327, 9483, 12182, 5785, 291, 225, 88, 76, 73, 22462, 203, 9403, 2699, 6532, 4504, 3428, 30, 4855, 18, 377, 203, 8973, 2699, 6532, 4504, 3428, 30, 4855, 18, 384, 203, 8694, 2699, 6532, 4504, 3428, 30, 4855, 18, 685, 203, 5969, 6326, 292, 4903, 203, 8338, 5004, 4277, 203, 203, 1624, 641, 292, 4117, 14253, 9383, 954, 332, 22926, 321, 46806, 8018, 4327, 8169, 332, 4627, 30220, 16, 225, 69, 20891, 954, 225, 69, 22926, 321, 46806, 8018, 203, 7601, 9228, 526, 47053, 203, 7196, 18638, 203, 6890, 409, 5194, 12430, 203, 4597, 30892, 366, 292, 225, 69, 22926, 321, 46806, 332, 22926, 321, 46806, 8018, 770, 203, 203, 28582, 983, 2016, 4327, 6890, 38348, 587, 292, 5004, 203, 6485, 1605, 29692, 11978, 514, 30, 332, 39382, 286, 8732, 42035, 225, 69, 13882, 286, 8732, 42035, 203, 5725, 12897, 2203, 30439, 30, 1294, 16950, 11, 39382, 286, 225, 88, 76, 73, 18638, 292, 5660, 6215, 8969, 9173, 225, 69, 13882, 286, 8969, 9173, 203, 203, 1624, 641, 292, 7280, 8379, 954, 409, 12512, 17018, 299, 4327, 2730, 421, 7025, 902, 203, 2489, 24209, 286, 225, 88, 76, 73, 10189, 637, 396, 7795, 31, 359, 7280, 8379, 954, 225, 88, 76, 73, 6929, 10597, 17018, 299, 13, 203, 203, 1987, 203, 203, 3257, 2477, 9664, 203, 28298, 4686, 203, 6004, 717, 203, 4387, 4062, 7956, 203, 4387, 15405, 203, 36471, 423, 15294, 16, 10647, 203, 5013, 423, 8146, 46214, 2307, 16, 16511, 203, 37, 22926, 321, 46806, 8018, 1592, 203, 58, 6869, 396, 3376, 13, 1592, 203, 17676, 8379, 954, 409, 12512, 17018, 299, 1592, 2, 0, 56, 4981, 783, 3188, 286, 30, 203, 203, 5013, 203, 203, 8830, 31098, 203, 18448, 546, 2306, 94, 316, 4981, 396, 44634, 1180, 15929, 873, 7169, 1712, 1158, 5989, 3773, 359, 316, 4981, 16, 22797, 26773, 16361, 290, 3984, 1010, 203, 8012, 23678, 6876, 287, 396, 29747, 1180, 18313, 873, 19966, 316, 4981, 16, 5280, 12207, 666, 2818, 8128, 16, 31578, 16, 290, 11430, 203, 56, 4981, 396, 37611, 262, 16, 3157, 14063, 873, 1444, 1565, 428, 5065, 80, 1077, 22978, 16, 13613, 2746, 2540, 203, 38406, 4652, 4102, 396, 3640, 13811, 873, 32524, 316, 4981, 819, 522, 3223, 16, 8286, 4651, 346, 13043, 37137, 203, 56, 4981, 396, 37611, 262, 16, 3157, 14164, 873, 1444, 1565, 316, 4981, 19692, 14437, 14115, 27268, 16, 14271, 12796, 203, 56, 4981, 396, 37611, 262, 16, 3157, 6336, 873, 1444, 1565, 26659, 22821, 3514, 10999, 486, 319, 484, 69, 16, 14271, 12796, 203, 56, 4981, 396, 37611, 262, 16, 3157, 1589, 9644, 873, 1444, 1565, 33907, 41984, 40958, 16, 5706, 12796, 203, 56, 4981, 396, 37611, 262, 16, 3157, 2382, 9644, 873, 1444, 1565, 30171, 8697, 13225, 1129, 337, 89, 4195, 16, 5706, 12796, 203, 203, 12937, 1565, 203, 40861, 316, 4981, 396, 3640, 10679, 873, 1644, 18830, 290, 28281, 203, 33000, 2336, 2570, 293, 901, 316, 4981, 396, 2455, 2288, 1180, 2455, 13604, 873, 34274, 13005, 203, 23447, 6407, 316, 4981, 396, 1758, 7068, 1180, 29340, 873, 5224, 13005, 203, 11276, 316, 4981, 396, 3640, 10708, 873, 1063, 5911, 13243, 2946, 203, 23176, 13308, 80, 316, 4981, 396, 3640, 7248, 873, 34274, 12796, 203, 55, 10098, 1623, 316, 4981, 396, 2173, 5805, 1180, 2455, 6834, 873, 5224, 1524, 866, 472, 13005, 203, 6539, 2951, 17673, 316, 4981, 396, 3640, 14541, 873, 15399, 570, 3451, 4115, 203, 203, 20263, 1565, 203, 203, 37, 1180, 48, 203, 56, 4981, 45002, 396, 32795, 1180, 21029, 873, 24191, 1782, 7063, 203, 56, 4981, 957, 1812, 2713, 83, 396, 35547, 1180, 9578, 873, 23202, 7063, 290, 10711, 203, 56, 4981, 10148, 262, 396, 3640, 10842, 873, 14196, 29548, 10711, 203, 56, 4981, 3006, 30726, 43143, 396, 3640, 10584, 873, 849, 4759, 16517, 10711, 203, 56, 4981, 3614, 343, 13225, 396, 3640, 11995, 873, 31968, 29696, 203, 56, 4981, 4022, 768, 666, 1720, 396, 32240, 1180, 8454, 873, 24191, 3232, 290, 13319, 3962, 203, 56, 4981, 45912, 367, 6435, 16, 3109, 20958, 6826, 38380, 27485, 5193, 13324, 203 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 225, 88, 76, 73, 3010, 292, 8572, 18, 1900, 29981, 6773, 4545, 18, 290, 225, 88, 76, 73, 1403, 4694, 30, 48695, 5775, 319, 8978, 85, 11372, 2562, 225, 88, 76, 73, 18893, 8312, 292, 2361, 326, 8381, 290, 225, 88, 76, 73, 48695, 5775, 316, 16114, 478, 32875, 2562, 225, 88, 76, 73, 18893, 8312, 292, 2361, 326, 225, 88, 76, 73, 20217, 4778, 10703, 225, 88, 76, 73, 1504, 8886, 290, 225, 88, 76, 73, 4694, 18, 409, 8895, 13456, 345, 1465, 385, 279, 2516, 326, 717, 286, 1303, 1511, 291, 8572, 346, 955, 1403, 4694, 290, 11245, 225, 88, 76, 73, 9216, 292, 1491, 4848, 423, 2532, 290, 12980, 15345, 13592, 286, 374, 1130, 1811, 18349, 352, 87, 1924, 18, 38610, 225, 69, 2358, 423, 1491, 8204, 42843, 32938, 4907, 16, 660, 643, 1598, 32276, 290, 4766, 292, 3379, 286, 2774, 346, 609, 1491, 4848, 290, 1504, 10392, 18, 409, 1465, 385, 2404, 291, 225, 88, 76, 73, 30796, 8867, 423, 1148, 286, 1188, 18, 1878, 3288, 18, 389, 3723, 291, 522, 3222, 15015, 16, 42340, 425, 76, 7544, 332, 3471, 3683, 352, 87, 4320, 346, 798, 717, 1154, 225, 88, 76, 73, 10349, 4064, 18, 203, 9152, 74, 425, 76, 32465, 225, 69, 1773, 298, 10183, 31921, 383, 225, 88, 76, 73, 16859, 203, 15459, 1676, 281, 1548, 203, 5956, 8226, 203, 10796, 3797, 203, 37, 3471, 3683, 19526, 19938, 203, 7007, 3797, 203, 45222, 10860, 26182, 203, 10954, 326, 30, 203, 10954, 203, 16672, 5032, 203, 48274, 203, 48274, 12671, 10772, 2427, 2079, 396, 22, 13, 2494, 2079, 396, 21, 13, 2636, 1910, 396, 21, 13, 2209, 1910, 396, 21, 13, 2827, 1910, 396, 21, 13, 2427, 1920, 396, 21, 13, 2262, 1920, 396, 26, 13, 1589, 1920, 396, 21, 13, 2698, 2153, 396, 21, 13, 2636, 2153, 396, 21, 13, 2485, 2153, 396, 24, 13, 2355, 2153, 396, 21, 13, 2494, 2153, 396, 21, 13, 2262, 2286, 396, 21, 13, 1589, 2286, 396, 22, 13, 2494, 2286, 396, 21, 13, 2382, 2451, 396, 21, 13, 1589, 2451, 396, 21, 13, 2262, 2489, 396, 21, 13, 1589, 2616, 396, 21, 13, 2355, 2616, 396, 21, 13, 2698, 2730, 396, 22, 13, 2429, 2730, 396, 23, 13, 2382, 2730, 396, 22, 13, 2262, 2730, 396, 21, 13, 2429, 2855, 396, 21, 13, 2427, 2862, 396, 21, 13, 2698, 3008, 396, 21, 13, 2382, 3008, 396, 21, 13, 2262, 3008, 396, 22, 13, 2827, 3008, 396, 21, 13, 2494, 3008, 396, 21, 13, 2485, 2987, 396, 21, 13, 2427, 2987, 396, 22, 13, 2355, 2987, 396, 22, 13, 2485, 3384, 396, 21, 13, 2209, 3384, 396, 21, 13, 2485, 3486, 396, 22, 13, 2209, 3486, 396, 21, 13, 2698, 3868, 396, 21, 13, 2636, 3868, 396, 21, 13, 2427, 3868, 396, 21, 13, 2382, 3868, 396, 25, 13, 1589, 3868, 396, 21, 13, 2494, 3868, 396, 21, 13, 2698, 4109, 396, 21, 13, 2636, 4109, 396, 22, 13, 2485, 4109, 396, 26, 13, 2427, 4109, 396, 28, 13, 203, 10616, 203, 37, 4513, 203, 29593, 203, 13480, 203, 18740, 203, 31959, 203, 33450, 203, 8826, 203, 15459, 1676, 281, 1548, 203, 10436, 69, 203, 10213, 291, 203, 6685, 2901, 3294, 203, 11663, 3294, 203, 40848, 18, 3735, 203, 12823, 849, 77, 2, 0, 6453, 566, 1227, 524, 31333, 325, 225, 88, 76, 73, 1063, 2229, 9371, 12865, 6987, 3602, 16, 346, 225, 69, 12917, 8055, 15018, 291, 1128, 292, 1619, 18, 203, 521, 10696, 6987, 7706, 29436, 325, 5855, 1608, 346, 225, 88, 76, 73, 4140, 12977, 394, 1828, 431, 1063, 2229, 1627, 9049, 7300, 46223, 1608, 326, 2219, 17055, 819, 225, 69, 4093, 797, 17, 10309, 28807, 383, 225, 88, 76, 73, 2988, 292, 225, 88, 76, 73, 17579, 4311, 17, 916, 4707, 18, 203, 3018, 943, 352, 88, 2649, 225, 88, 76, 73, 3602, 286, 339, 5162, 346, 709, 6456, 27979, 290, 36468, 292, 17008, 292, 17055, 30903, 698, 225, 88, 76, 73, 8899, 12977, 388, 1648, 509, 15145, 1079, 292, 14604, 5179, 225, 88, 76, 73, 3602, 325, 37651, 1477, 18, 1078, 915, 16, 225, 88, 76, 73, 6303, 7084, 2747, 352, 88, 5048, 291, 2573, 5177, 16, 1315, 2155, 17763, 345, 427, 941, 16496, 225, 88, 76, 73, 1952, 1388, 4590, 423, 225, 88, 76, 73, 3602, 18, 203, 1624, 326, 225, 88, 76, 73, 17055, 345, 502, 1303, 785, 7157, 16, 544, 1381, 3934, 11757, 16, 3307, 2158, 1502, 7478, 16, 2651, 1670, 16408, 290, 371, 8553, 431, 283, 2143, 337, 10276, 18, 20627, 76, 1073, 4284, 352, 88, 12875, 18, 203, 521, 12375, 292, 225, 88, 76, 73, 29990, 325, 225, 69, 1868, 1146, 24308, 4311, 17, 916, 13323, 290, 5850, 2747, 352, 88, 2970, 325, 6303, 7084, 3296, 38980, 31954, 18, 31954, 1698, 359, 279, 24341, 325, 225, 88, 76, 73, 3602, 785, 291, 7752, 290, 504, 23247, 225, 88, 76, 73, 13260, 1608, 633, 3223, 385, 568, 225, 69, 4146, 7891, 6724, 18, 409, 941, 17, 2378, 6303, 7084, 6678, 4953, 670, 225, 88, 76, 73, 29990, 292, 225, 88, 76, 73, 5697, 3602, 819, 4375, 2141, 955, 359, 225, 88, 76, 73, 2427, 1814, 7509, 290, 47199, 16538, 20009, 1817, 286, 225, 88, 76, 73, 1502, 383, 1648, 18, 203, 1109, 1266, 352, 87, 595, 326, 443, 286, 894, 286, 27295, 531, 5303, 16, 286, 894, 286, 27295, 3146, 16, 517, 286, 502, 357, 41894, 290, 286, 502, 357, 346, 1995, 408, 352, 315, 4148, 581, 442, 7156, 290, 708, 286, 3613, 5094, 431, 10962, 1761, 1060, 443, 1395, 31954, 2705, 21981, 10637, 352, 87, 409, 3440, 10964, 16, 1027, 6159, 225, 69, 12917, 8055, 18, 616, 2628, 1027, 408, 371, 29990, 16, 357, 318, 449, 785, 286, 932, 359, 6456, 1076, 203, 4888, 20092, 9933, 2640, 8352, 43634, 2964, 9197, 4986, 15252, 50079, 5130, 23985, 11828, 5429, 36871, 696, 1063, 2229, 2361, 9049, 7300, 46223, 27881, 409, 22520, 8746, 286, 1031, 225, 88, 76, 73, 6947, 29990, 292, 6303, 7084, 6987, 3602, 325, 5855, 16, 1589, 3538, 16, 1920, 16, 291, 1063, 2229, 18, 1063, 2229, 2361, 9049, 7300, 46223, 12027, 409, 22520, 8746, 346, 1063, 2229, 9371, 12865, 3296, 38980 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 345, 1302, 203, 6, 1641, 6, 11130, 225, 88, 76, 73, 2735, 12, 87, 13, 345, 979, 449, 18086, 345, 1302, 203, 203, 34897, 7690, 203, 1200, 2760, 770, 14175, 326, 21867, 6925, 325, 225, 69, 3222, 3303, 17, 6262, 5259, 18, 409, 10422, 423, 1302, 1025, 371, 30139, 286, 548, 325, 225, 88, 76, 73, 1150, 5259, 16, 290, 225, 88, 76, 73, 2709, 2697, 423, 225, 88, 76, 73, 38760, 8976, 371, 449, 2765, 18, 203, 203, 14584, 984, 2840, 203, 203, 15150, 377, 396, 2455, 2494, 13, 203, 3348, 2358, 30, 689, 54, 25777, 1498, 225, 69, 48282, 6, 1641, 12921, 48325, 954, 409, 8769, 13107, 5955, 18, 27631, 2570, 392, 3447, 396, 520, 12947, 431, 1968, 37061, 13, 203, 6, 14564, 14097, 6, 1641, 22365, 25719, 396, 520, 12947, 431, 1968, 37061, 13, 203, 203, 15150, 384, 396, 3859, 2494, 13, 203, 5900, 8259, 30, 4808, 40361, 203, 3348, 2358, 30, 689, 38579, 5263, 6, 1641, 30704, 2539, 396, 520, 12947, 431, 1968, 37061, 13, 203, 4808, 40361, 954, 11312, 2358, 30, 689, 43363, 291, 225, 88, 76, 73, 7525, 346, 37974, 6, 1641, 9152, 1077, 2212, 203, 203, 13125, 286, 14816, 17432, 31665, 225, 69, 15899, 30502, 16, 14816, 954, 19811, 3905, 1919, 985, 1312, 442, 1302, 18, 203, 203, 16843, 2339, 46830, 203, 54, 567, 954, 41220, 3070, 287, 94, 30, 689, 6179, 7137, 1641, 30928, 20361, 5955, 18, 19811, 263, 528, 5876, 292, 46147, 5, 383, 225, 88, 76, 73, 42173, 203, 8878, 954, 14701, 30, 689, 46600, 26202, 6, 1641, 21635, 42317, 1077, 203, 21495, 2186, 11, 10362, 286, 3450, 203, 26962, 9064, 30, 395, 567, 954, 41220, 3070, 287, 94, 203, 49, 349, 3187, 30, 395, 567, 954, 41220, 3070, 287, 94, 203, 35869, 30, 395, 567, 954, 41220, 3070, 287, 94, 203, 18711, 40361, 30, 8968, 449, 659, 286, 6158, 517, 703, 427, 8151, 395, 567, 954, 41220, 3070, 287, 94, 203, 203, 15150, 685, 396, 1878, 2494, 13, 203, 23148, 30, 23010, 203, 5900, 8259, 30, 11312, 203, 203, 13125, 286, 556, 5928, 5034, 476, 31665, 225, 69, 11214, 7919, 392, 16, 556, 5928, 954, 316, 39685, 1919, 985, 1312, 442, 1302, 18, 203, 203, 16843, 2339, 46830, 203, 29743, 954, 19811, 3905, 30, 689, 16291, 828, 2861, 6, 1641, 31506, 332, 203, 54, 567, 954, 41220, 3070, 287, 94, 30, 689, 6179, 7137, 1641, 30928, 20361, 5955, 18, 19811, 263, 528, 5876, 292, 46147, 5, 383, 225, 88, 76, 73, 42173, 203, 21495, 2186, 11, 10362, 286, 3450, 203, 26962, 9064, 30, 14816, 954, 19811, 3905, 203, 49, 349, 3187, 30, 14816, 954, 19811, 3905, 203, 18711, 40361, 30, 14816, 954, 19811, 3905, 203, 35869, 30, 8968, 449, 659, 286, 6158, 517, 703, 427, 8151, 14816, 954, 19811, 3905, 203, 203, 15150, 832, 396, 26, 2827, 13, 203, 23148, 30, 9963, 203, 5900, 8259, 30, 4808, 40361, 203, 3348, 2358, 30, 689, 2282, 582, 6, 1641, 19761, 694, 21888, 396, 520, 12947, 431, 41220, 3070, 287, 94, 395, 4954, 40828, 93, 1572, 77, 290, 28489, 44460, 4929, 16, 291, 13882, 286, 14693, 16738, 3155, 203, 1099, 27377, 2850, 1586, 2201, 7548, 3314, 326, 4311, 17, 916, 442, 1302, 16, 9580, 14253, 4192, 6096, 950, 359, 2737, 7709, 4621, 7777, 477, 6096, 4532, 20979, 2742, 359, 34393, 18, 203, 29376, 954, 28489, 643, 1966, 286, 1312, 724, 442, 1302, 16, 2375, 1966, 286, 29376, 8754, 290, 6112, 522, 21802, 291, 2651, 981, 225, 88, 76, 73, 1766, 984, 16, 14816, 954, 19811, 3905, 4604, 724, 3043, 18, 409, 2677, 1708, 4604, 16577, 517, 4325, 225, 88, 76, 73, 1150, 11586, 1319, 644, 458, 4561, 724, 18, 203, 203, 16843, 2339, 46830, 203, 14816, 954, 19811, 3905, 30, 689, 16291, 828, 2861, 6, 1641, 31506, 332, 203, 556, 5928, 954, 316, 39685, 30, 689, 55, 752, 88, 2088, 6, 1641, 30949, 954, 11068, 203, 21495, 2186, 11, 10362, 286, 3450, 203, 26962, 9064, 30, 556, 5928, 954, 316, 39685, 203, 49, 349, 3187, 30, 556, 5928, 954, 316, 39685, 203, 35869, 30, 556, 5928, 954, 316, 39685, 203, 18711, 40361, 30, 8968, 449, 659, 286, 6158, 517, 703, 427, 8151, 556, 5928, 954, 316, 39685, 203, 203, 15150, 848, 396, 2721, 2827, 13, 203, 23148, 30, 393, 40748, 1228, 203, 5900, 8259, 30, 11312, 203, 4808, 40361, 954, 11312, 2358, 30, 689, 14609, 9963, 346, 2339, 6, 1641, 17095, 43851, 203, 203, 16843, 2339, 46830, 203, 556, 5928, 954, 316, 39685, 30, 689, 55, 752, 88, 2088, 6, 1641, 30949, 954, 11068, 203, 17164, 954, 6632, 30, 689, 26940, 262, 6, 1641, 11039, 1630, 42212, 203, 21495, 2186, 11, 10362, 286, 3450, 203, 26962, 9064, 30, 556, 5928, 954, 316, 39685, 203, 49, 349, 3187, 30, 17164, 954, 6632, 203, 18711, 40361, 30, 556, 5928, 954, 316, 39685, 203, 35869, 30, 556, 5928, 954, 316, 39685, 203, 203, 15150, 1025, 396, 825, 2827, 13, 203, 23148, 30, 2051, 17806, 203, 18185, 8259, 30, 957, 21656, 17993, 203, 5900, 8259, 30, 4808, 40361, 203, 3348, 2358, 30, 2060, 6763, 6487, 1641, 8494, 10421, 38332, 396, 446, 13, 203, 5510, 5281, 5985, 30, 689, 22999, 6, 1641, 8494, 11554, 203, 203, 13125, 286, 30550, 38803, 4653, 3314, 326, 4311, 17, 916, 16, 32527, 12723, 4604, 346, 19811, 3905, 15576, 3676, 326, 442, 1302, 18, 203, 203, 16843, 2339, 46830, 203, 40319, 954, 21069, 30, 689, 6056, 1507, 6, 1641, 14402, 32238, 203, 22081, 954, 5712, 30, 689, 988, 2463, 6487, 2864, 1397, 7422, 6, 1641, 521, 20846, 38125, 203, 21495, 2186, 11, 10362, 286, 3450, 203, 26962, 9064, 30, 22081, 954, 5712, 203, 49, 349, 3187, 30, 22081, 954, 5712, 203, 42279, 1901, 30, 22081, 954, 5712, 203, 35869, 30, 8968, 449, 659, 286, 6158, 517, 703, 427, 8151, 22081, 954, 5712, 203, 18711, 40361, 30, 8968, 449, 659, 286, 6158, 517, 703, 427, 8151, 22081, 954, 5712, 203, 203, 15150, 1148, 396, 4219, 2827, 13, 203, 23148, 30, 22399, 6168, 203, 5900, 8259, 30, 11312, 203, 3348, 2358, 30, 689, 33870, 6, 1641, 17577, 11070, 19, 6, 26725, 2097, 10744, 6, 1641, 55, 567, 396, 520, 12947, 431, 1968, 37061, 290, 453, 2018, 44262, 3187 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 731, 3500, 2272, 7691, 40662, 1104, 39260, 346, 522, 745, 3051, 291, 2987, 18, 409, 724, 7691, 40662, 20305, 2897, 543, 720, 2313, 21758, 290, 915, 13147, 5699, 377, 16, 1318, 5579, 1040, 602, 18, 203, 521, 724, 7691, 40662, 20305, 291, 12812, 18, 396, 21521, 30, 7691, 40662, 20305, 21508, 20164, 40662, 20305, 13, 203, 5753, 225, 69, 602, 2922, 286, 225, 88, 76, 73, 724, 7691, 40662, 20305, 16, 573, 13983, 1906, 346, 225, 88, 76, 73, 2377, 1510, 40662, 16, 660, 643, 715, 2272, 1638, 39260, 2404, 1808, 225, 88, 76, 73, 1868, 290, 449, 479, 292, 624, 3842, 1778, 286, 1177, 16, 3060, 286, 528, 8239, 18, 24695, 3998, 568, 1825, 225, 88, 76, 73, 18124, 7691, 40662, 291, 12812, 18, 24695, 3998, 3904, 291, 2616, 1027, 8121, 1387, 471, 2750, 2654, 291, 41921, 18, 203, 8404, 76, 574, 352, 87, 4370, 290, 10180, 2654, 325, 16, 359, 225, 88, 76, 73, 15292, 88, 76, 7691, 40662, 20305, 318, 6931, 326, 2427, 1124, 16, 1910, 18, 2, 0, 1833, 42696, 39828, 5908, 7379, 488, 225, 88, 76, 73, 10744, 291, 225, 69, 26831, 6187, 4378, 1832, 18134, 1287, 42696, 39828, 5908, 7379, 488, 225, 88, 76, 73, 10744, 291, 225, 69, 26831, 6187, 24487, 21766, 696, 22658, 290, 9290, 203, 12997, 9526, 5634, 6757, 326, 26433, 4851, 326, 10779, 35548, 7331, 203, 1833, 42696, 39828, 5908, 7379, 488, 225, 88, 76, 73, 10744, 203, 3113, 325, 2427, 384, 16, 2489, 431, 13491, 203, 829, 442, 1244, 314, 352, 81, 1191, 286, 1842, 581, 708, 14949, 31013, 3491, 225, 88, 76, 73, 1657, 18, 4433, 623, 823, 4572, 650, 313, 1842, 581, 1249, 32626, 286, 723, 398, 1657, 18, 2591, 717, 40001, 3448, 9476, 286, 624, 16, 1015, 624, 225, 69, 18241, 290, 5653, 225, 88, 76, 73, 616, 4294, 1571, 550, 1816, 1060, 225, 69, 1171, 18, 13926, 459, 1842, 313, 1132, 706, 581, 479, 292, 225, 88, 76, 73, 3772, 1228, 345, 32626, 427, 1772, 326, 624, 658, 225, 88, 76, 73, 806, 18, 2519, 225, 88, 76, 73, 836, 16, 314, 5942, 1656, 225, 69, 42046, 318, 225, 69, 877, 909, 291, 290, 1367, 1244, 18, 203, 45, 4148, 581, 32626, 16, 1315, 14949, 31013, 715, 658, 1136, 806, 2376, 290, 427, 652, 1249, 624, 11438, 1801, 1364, 18, 314, 5151, 1246, 624, 18, 3783, 352, 87, 821, 691, 313, 459, 5536, 346, 530, 431, 225, 88, 76, 73, 991, 292, 442, 1244, 18, 203, 1833, 2335, 42696, 39828, 5908, 8961, 35, 203, 1926, 371, 225, 69, 1162, 3872, 1656, 313, 1380, 813, 286, 3934, 225, 69, 14949, 23537, 388, 225, 69, 14949, 3304, 2804, 18, 409, 745, 6911, 2157, 318, 691, 313, 427, 1334, 1191, 325, 291, 398, 15899, 345, 313, 813, 286, 949, 1028, 292, 18, 203, 1989, 551, 2845, 643, 10951, 16, 715, 981, 408, 1698, 1249, 32626, 16, 314, 36116, 551, 716, 2032, 281, 317, 11422, 7652, 291, 1119, 6728, 8227, 624, 16, 2586, 286, 623, 624, 286, 2377, 15539, 291, 225, 88, 76, 73, 4579, 18, 409, 716, 2032, 281, 317, 11422, 318, 225, 88, 76, 73, 4218, 7652, 313, 787, 286, 2206, 1334, 527, 16, 664, 225, 69, 3706, 286, 3258, 18, 1832, 8447, 1204, 11527, 1740, 357, 225, 88, 76, 73, 6921, 7981, 7652, 18, 203, 45, 5996, 551, 724, 14949, 31013, 286, 17012, 345, 10568, 541, 345, 314, 882, 787, 551, 36997, 1342, 15282, 18, 1108, 2406, 10892, 18, 1366, 225, 88, 76, 73, 724, 3466, 286, 616, 5408, 14949, 31013, 3491, 225, 88, 76, 73, 1657, 550, 318, 345, 544, 723, 286, 4046, 225, 88, 76, 73, 8700, 291, 398, 15899, 541, 345, 544, 424, 11143, 18, 203, 7339, 4348, 7819, 290, 640, 1691, 203, 45, 943, 352, 88, 427, 724, 17, 5920, 1185, 346, 442, 16, 517, 357, 1822, 423, 225, 69, 823, 5800, 3481, 18, 2591, 717, 427, 225, 69, 2163, 827, 519, 2988, 15223, 225, 69, 1171, 18, 1108, 424, 3934, 225, 69, 14949, 23537, 388, 14949, 3304, 2804, 325, 519, 15899, 290, 225, 69, 14949, 20163, 1060, 519, 6032, 286, 3881, 225, 88, 76, 73, 21726, 18, 314, 385, 2705, 345, 357, 2016, 2838, 28441, 18, 203, 45, 427, 652, 2705, 345, 442, 770, 2016, 691, 313, 427, 1119, 225, 69, 14949, 20163, 290, 225, 69, 14949, 23537, 18, 601, 352, 87, 3543, 449, 225, 69, 7428, 3125, 517, 874, 225, 69, 1308, 1889, 292, 723, 318, 1334, 18, 314, 943, 352, 88, 2731, 286, 427, 479, 225, 88, 76, 73, 6966, 326, 708, 442, 2016, 16, 517, 314, 502, 427, 225, 69, 1162, 5221, 272, 18, 203, 3134, 7091, 318, 345, 225, 88, 76, 73, 14949, 1962, 383, 225, 88, 76, 73, 716, 2032, 274, 283, 2143, 308, 396, 77, 82, 398, 6032, 827, 225, 88, 76, 73, 19759, 326, 398, 5167, 1303, 524, 292, 398, 20571, 12640, 13, 290, 383, 225, 88, 76, 73, 15899, 33276, 14971, 3431, 444, 1133, 624, 754, 398, 5167, 18, 203, 19487, 575, 2097, 7330, 203, 45, 1033, 225, 88, 76, 73, 910, 3466, 286, 708, 14949, 31013, 3491, 225, 88, 76, 73, 1657, 318, 291, 19290, 398, 1657, 352, 87, 2183, 18, 996, 313, 427, 3737, 383, 7942, 6853, 383, 479, 857, 313, 371, 3293, 292, 225, 88, 76, 73, 2183, 3434, 333, 1947, 2681, 754, 398, 1657, 18, 15622, 292, 624, 2459, 1922, 388, 991, 291, 398, 2988, 16, 541, 2333, 292, 398, 1657, 352, 87, 2183, 7515, 1290, 754, 398, 15899, 18, 203, 37, 877, 14949, 23537, 388, 14949, 3304, 2804, 459, 427, 543, 720, 554, 20807, 325, 357, 541, 345, 544, 1582, 225, 69, 14949, 1962, 345, 13652, 775, 754, 398, 15899, 18, 3273, 225, 88, 76, 73, 2183, 7076, 754, 225, 88, 76, 73, 3434, 333, 1947, 291, 398, 5167, 459, 339, 6438, 431, 345, 14949, 1962, 18, 203, 37, 14949, 1962, 12697, 225, 88, 76, 73, 2183, 345, 9609, 754, 357, 18, 1666, 318, 1709, 286, 7912, 18, 996, 357, 1919, 352, 88, 548, 345, 836, 857, 313, 5120, 352, 88, 339, 2576, 442, 952, 345, 318, 708, 398, 1420, 1250, 18754, 8573, 18, 203, 1833, 286, 5577, 42696, 39828, 5908, 203 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 76, 73, 21824, 459, 339, 14048, 225, 88, 76, 73, 2669, 291, 8572, 18, 203, 521, 42305, 427, 1772, 2896, 1229, 286, 3613, 24804, 11136, 2798, 18, 409, 1627, 292, 1931, 1571, 544, 2463, 2267, 318, 4721, 7714, 1300, 388, 10750, 491, 2923, 21420, 1947, 290, 519, 3366, 1227, 286, 7038, 7176, 18, 203, 10608, 225, 88, 76, 73, 42305, 11, 541, 17, 11314, 1118, 326, 24804, 11136, 16, 2896, 504, 3716, 18, 707, 459, 339, 9299, 225, 88, 76, 73, 2669, 1001, 291, 2361, 8572, 650, 357, 32563, 18, 203, 8678, 11979, 203, 28171, 886, 11, 12171, 1404, 24789, 8844, 203, 521, 3838, 13187, 290, 11665, 292, 21420, 1947, 1060, 1496, 286, 24804, 11136, 318, 961, 42984, 431, 6478, 6566, 2563, 423, 225, 88, 76, 73, 5425, 18, 203, 36666, 18731, 6021, 999, 5739, 16879, 999, 2357, 2011, 2451, 203, 43962, 1404, 24789, 203, 5698, 225, 88, 76, 73, 1843, 797, 806, 16, 225, 88, 76, 73, 10135, 290, 7073, 8953, 427, 959, 225, 69, 1319, 292, 10635, 6322, 286, 43937, 21420, 1947, 596, 8413, 325, 24804, 11136, 18, 203, 36666, 18731, 6021, 999, 31837, 22658, 999, 1519, 9588, 2489, 203, 2793, 3688, 42587, 326, 12171, 1404, 46183, 4158, 1143, 203, 1926, 371, 2750, 3533, 596, 2245, 7176, 290, 33272, 658, 519, 3009, 11136, 12860, 290, 787, 291, 28834, 292, 225, 88, 76, 73, 2151, 8522, 1496, 8386, 18, 203, 36666, 18731, 6021, 999, 5739, 16879, 999, 1519, 9588, 2489, 2, 0, 37, 8493, 1793, 325, 14625, 16319, 290, 1892, 41584, 346, 37386, 16891, 21804, 5838, 32527, 331, 560, 1473, 774, 11634, 4837, 5606, 203, 24400, 286, 2094, 203, 8, 20, 18, 564, 13626, 203, 31763, 203, 6604, 203, 5270, 203, 14613, 203, 16218, 203, 44396, 203, 18740, 203, 5637, 203, 6520, 3586, 203, 9807, 203, 23756, 203, 6604, 203, 5270, 203, 14613, 203, 16218, 203, 44396, 203, 18740, 203, 5637, 203, 6520, 3586, 203, 9807, 203, 10954, 203, 21173, 203, 37, 8493, 1793, 325, 14625, 16319, 290, 1892, 41584, 346, 37386, 16891, 21804, 5838, 32527, 331, 560, 1473, 203, 3462, 43566, 15725, 203, 7675, 3498, 16, 2079, 203, 44396, 203, 29705, 16891, 45486, 32527, 331, 560, 1473, 318, 225, 69, 26592, 292, 225, 88, 76, 73, 30581, 3260, 3990, 5606, 573, 8448, 291, 225, 88, 76, 73, 27869, 325, 225, 88, 76, 73, 2980, 292, 2494, 3275, 16, 4589, 18, 32527, 318, 554, 292, 2701, 1592, 596, 14468, 423, 225, 88, 76, 73, 1174, 3602, 292, 225, 69, 832, 17, 16764, 7431, 1848, 325, 430, 18, 1946, 28, 88, 76, 640, 18, 34117, 17, 18838, 2039, 1708, 16, 458, 4415, 286, 1444, 8414, 4709, 819, 225, 69, 38599, 290, 648, 31918, 6381, 423, 225, 88, 76, 73, 3287, 290, 4613, 7474, 458, 15178, 359, 225, 69, 1873, 292, 522, 941, 2377, 18, 409, 2883, 439, 41436, 8021, 225, 88, 76, 73, 2654, 292, 1220, 1592, 292, 225, 88, 76, 73, 37386, 16891, 696, 7612, 18878, 30592, 9497, 16, 33349, 2212, 23521, 91, 290, 7612, 7804, 4504, 31212, 12271, 18, 203, 521, 3570, 313, 459, 1696, 291, 442, 5268, 292, 225, 88, 76, 73, 11634, 4837, 5606, 14808, 2614, 6751, 10833, 18325, 6650, 32527, 385, 4997, 291, 2153, 383, 225, 69, 45285, 42, 6751, 10833, 14805, 291, 45237, 16, 10495, 18, 409, 1465, 385, 11797, 286, 225, 88, 76, 73, 4175, 292, 16868, 16, 15564, 5587, 225, 88, 76, 73, 2537, 16, 616, 10475, 4687, 650, 408, 748, 286, 1419, 290, 4973, 3740, 1542, 723, 18436, 4715, 6063, 326, 1040, 15250, 5519, 16, 45285, 42, 17967, 10505, 4806, 94, 2268, 290, 9263, 2737, 43566, 15725, 7544, 519, 24257, 9805, 819, 225, 88, 76, 73, 1465, 16, 573, 313, 459, 1696, 2922, 286, 225, 88, 76, 73, 3570, 18, 203, 8723, 30, 409, 9263, 5268, 568, 2626, 22059, 2883, 2503, 42784, 423, 225, 88, 76, 73, 3260, 3990, 2883, 291, 225, 88, 76, 73, 27869, 18, 332, 1816, 292, 18133, 286, 531, 18436, 16, 225, 88, 76, 73, 42784, 371, 7873, 290, 9295, 18, 203, 32806, 2, 0, 8749, 30, 14169, 47810, 326, 18134, 203, 7158, 5458, 16, 14169, 47810, 326, 18134, 203, 5733, 551, 38320, 806, 16, 5982, 953, 290, 2695, 385, 279, 4853, 3142, 292, 225, 88, 76, 73, 4196, 1004, 5846, 286, 551, 1240, 17, 3675, 969, 18, 5504, 32743, 17, 34857, 8437, 16, 631, 2353, 6258, 16, 874, 225, 69, 28746, 24260, 326, 13376, 7979, 28897, 1641, 45, 27344, 225, 88, 76, 73, 3882, 16, 4763, 16, 3762, 16, 290, 2824, 18, 314, 5789, 527, 8755, 5982, 3762, 18, 314, 1230, 16469, 225, 88, 76, 73, 14151, 11, 50, 8558, 489, 12391, 359, 314, 20542, 225, 69, 22229, 698, 551, 5934, 396, 10217, 16, 524, 8862, 3659, 6, 7408, 336, 313, 499, 1143, 18223, 314, 5287, 670, 544, 643, 5254, 6900, 16, 1695, 16, 290, 9602, 262, 18, 203, 988, 16, 3839, 7218, 16, 541, 12950, 13230, 1995, 1353, 325, 225, 88, 76, 73, 20473, 607, 7080, 981, 443, 18, 1867, 7125, 6827, 371, 1648, 16, 290, 531, 13962, 326, 15414, 318, 25412, 1846, 290, 1541, 18, 707, 371, 14526, 20896, 286, 1702, 527, 22829, 18, 557, 225, 88, 76, 73, 3982, 16, 32593, 22829, 318, 225, 69, 11415, 1932, 18, 601, 5950, 3373, 388, 6062, 18, 1099, 940, 292, 225, 69, 2163, 359, 3080, 17, 22497, 13677, 11323, 396, 9031, 55, 13, 1582, 291, 551, 3225, 969, 16, 314, 502, 1033, 544, 12417, 530, 286, 1489, 18563, 18, 314, 1380, 449, 427, 286, 4874, 581, 225, 69, 38979, 5369, 530, 16, 517, 803, 17421, 11741, 286, 2219, 10458, 1582, 225, 69, 2343, 292, 19887, 10579, 531, 6787, 698, 225, 69, 6073, 1627, 18, 409, 6911, 2241, 423, 225, 69, 13351, 1177, 17, 77, 82, 371, 19060, 290, 23082, 16, 617, 11923, 342, 16, 14840, 19384, 16, 27815, 16, 517, 13351, 603, 6809, 87, 1700, 10328, 225, 88, 76, 73, 4807, 290, 568, 1582, 10216, 1056, 16005, 18, 12522, 2744, 17, 3381, 13236, 1641, 344, 352, 87, 1378, 18, 601, 352, 87, 3373, 388, 6062, 18, 1366, 314, 4844, 3000, 423, 6375, 359, 2415, 359, 314, 5824, 10240, 5649, 18, 1009, 2374, 383, 910, 314, 352, 635, 770, 427, 225 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 69, 9951, 49212, 4283, 19625, 69, 34, 9441, 69, 294, 17800, 22849, 73, 4957, 16483, 4740, 336, 28668, 17081, 12281, 2739, 7923, 3636, 80, 4594, 9564, 2441, 2660, 309, 7389, 19625, 69, 34, 27412, 510, 203, 32, 69, 278, 328, 8977, 16677, 19625, 69, 34, 9441, 69, 15327, 2079, 7257, 19625, 69, 34, 9441, 69, 6258, 4008, 380, 19625, 69, 34, 9441, 69, 2521, 270, 648, 10503, 19625, 69, 34, 9441, 69, 2681, 12334, 309, 1416, 11497, 1998, 262, 19625, 69, 34, 9441, 69, 1593, 3712, 633, 960, 1853, 13472, 73, 19625, 69, 34, 2, 0, 9872, 669, 325, 2746, 15889, 1228, 339, 9343, 291, 225, 88, 76, 73, 3942, 16, 313, 459, 1411, 1316, 286, 3399, 12763, 398, 2778, 291, 11728, 388, 3923, 398, 23586, 18, 10717, 346, 691, 442, 16, 660, 4176, 4203, 7393, 346, 225, 88, 76, 73, 19958, 1916, 290, 12868, 5655, 1305, 2747, 352, 88, 225, 69, 2200, 388, 650, 554, 962, 318, 3543, 225, 69, 49639, 18, 203, 28381, 16, 4499, 291, 39238, 250, 35690, 7596, 234, 49996, 229, 19142, 236, 35690, 1717, 7224, 7005, 318, 449, 9422, 479, 581, 4703, 18, 828, 568, 659, 12977, 631, 1865, 388, 691, 1801, 225, 88, 76, 73, 2592, 2946, 292, 225, 69, 2017, 962, 1825, 352, 88, 748, 479, 292, 225, 88, 76, 73, 1569, 783, 723, 313, 3965, 1040, 962, 352, 87, 7621, 292, 4499, 18, 2519, 16100, 325, 798, 5124, 326, 225, 88, 76, 73, 5717, 16, 3201, 290, 1865, 16, 313, 459, 339, 3293, 292, 573, 962, 318, 8249, 720, 1378, 290, 14672, 543, 1913, 1317, 22111, 292, 225, 88, 76, 73, 1823, 290, 5717, 18, 203, 23789, 1577, 595, 286, 1842, 318, 2838, 1263, 18, 2864, 981, 16, 388, 1154, 225, 69, 2200, 703, 8421, 371, 225, 88, 76, 73, 3660, 595, 16, 290, 357, 949, 279, 1263, 2487, 292, 12528, 9502, 225, 88, 76, 73, 2780, 18, 20984, 225, 3605, 18, 1790, 225, 88, 76, 73, 7393, 2912, 371, 568, 864, 18, 601, 783, 5449, 761, 2073, 345, 359, 279, 5190, 286, 7202, 2241, 11728, 313, 4973, 225, 69, 1171, 18, 738, 1380, 6452, 2772, 10316, 18, 203, 1266, 905, 339, 928, 345, 8336, 15296, 282, 1344, 7005, 770, 11396, 46367, 2890, 313, 2649, 423, 225, 69, 1935, 2200, 5244, 18, 9146, 1216, 325, 7202, 2587, 371, 35287, 423, 225, 88, 76, 73, 3304, 2587, 7515, 16, 225, 88, 76, 73, 1344, 1004, 1029, 300, 18, 738, 1817, 345, 313, 4973, 2896, 6185, 357, 757, 290, 568, 313, 770, 659, 286, 10804, 4320, 290, 1128, 225, 88, 76, 73, 757, 18, 203, 25487, 10849, 2586, 286, 3696, 631, 2277, 544, 459, 35361, 1182, 225, 69, 1621, 785, 6591, 291, 225, 88, 76, 73, 3352, 18, 4150, 442, 2223, 544, 371, 2586, 286, 10165, 519, 2548, 286, 225, 69, 982, 596, 961, 325, 225, 88, 76, 73, 12220, 18, 203, 1266, 3218, 664, 31350, 385, 1142, 291, 225, 88, 76, 73, 1004, 359, 513, 272, 313, 398, 1621, 352, 87, 3100, 18, 203, 7872, 225, 69, 1171, 543, 9090, 371, 4604, 291, 398, 4634, 17204, 383, 2070, 6273, 377, 1302, 18, 1078, 1792, 5751, 326, 2746, 16, 1870, 48121, 380, 981, 745, 1263, 1388, 4836, 2016, 8292, 18, 2, 0, 16991, 48976, 203, 1926, 371, 717, 479, 1060, 225, 88, 76, 73, 1004, 596, 884, 9584, 18, 2591, 1528, 1246, 1597, 9584, 291, 225, 88, 76, 73, 1577, 286, 748, 346, 18, 3791, 5975, 1508, 1597, 9584, 286, 1422, 2939, 2170, 286, 1303, 965, 286, 388, 286, 1209, 624, 1250, 18, 1238, 371, 798, 3872, 1656, 5012, 6316, 783, 813, 225, 69, 3924, 16, 359, 761, 18, 6366, 2576, 1036, 1660, 286, 942, 524, 691, 357, 783, 339, 8292, 326, 398, 13318, 3719, 554, 286, 427, 225, 69, 3924, 18, 203, 31474, 277, 13057, 26616, 203, 5997, 5012, 6316, 427, 864, 3695, 3946, 18, 996, 442, 318, 225, 88, 76, 73, 1715, 326, 398, 13318, 3719, 554, 16, 357, 318, 6513, 544, 502, 1228, 345, 723, 286, 1209, 519, 3695, 3946, 968, 388, 286, 3151, 357, 18, 2097, 13318, 3719, 554, 352, 87, 4956, 1380, 427, 624, 325, 10337, 326, 442, 18, 1790, 16, 357, 703, 568, 339, 8292, 286, 942, 2401, 2230, 286, 1209, 519, 3695, 3946, 21537, 16, 359, 761, 18, 332, 3924, 1380, 339, 225, 88, 76, 73, 3466, 18, 7625, 942, 345, 717, 596, 884, 225, 69, 3924, 1541, 427, 3151, 3695, 3946, 18, 409, 1179, 2157, 326, 442, 318, 952, 9584, 16, 955, 359, 5220, 16, 1422, 34892, 1246, 18, 996, 398, 13318, 3719, 554, 318, 325, 2928, 326, 1792, 225, 69, 3924, 16, 357, 882, 723, 27608, 346, 519, 3695, 3946, 2255, 18, 203, 3804, 30916, 42888, 203, 11656, 398, 13318, 3719, 554, 1156, 18851, 745, 292, 225, 88, 76, 73, 595, 35, 3514, 544, 5071, 2170, 596, 4361, 1576, 388, 18386, 544, 644, 2170, 1060, 543, 1541, 35, 996, 442, 318, 225, 88, 76, 73, 1715, 16, 398, 13318, 3719, 554, 1380, 1246, 286, 427, 225, 69, 3924, 18, 7710, 225, 69, 2460, 388, 225, 69, 3632, 345, 544, 424, 46145, 346, 882, 723, 286, 3881, 519, 27009, 18, 1108, 703, 339, 5192, 595, 346, 225, 88, 76, 73, 3924, 696, 2561, 346, 290, 10318, 326, 357, 18, 3747, 691, 313, 290, 965, 1028, 5275, 6382, 499, 286, 398, 13318, 3719, 554, 352, 87, 1577, 16, 1597, 225, 69, 3924, 882, 771, 286, 519, 6781, 292, 13875, 290, 1118, 6290, 18, 203, 11801, 14167, 203, 5997, 13318, 717, 4512, 286, 339, 706, 291, 519, 884, 1308, 1004, 18, 8537, 16, 442, 424, 1083, 286, 798, 4613, 16, 5875, 16, 290, 3287, 1489, 2148, 18, 996, 313, 942, 345, 398, 13318, 3719, 554, 1551, 286, 339, 225, 69, 1308, 543, 291, 225, 88, 76, 73, 1552, 16, 1597, 225, 69, 3924, 882, 3734, 624, 18, 31823, 371, 1541, 34645, 290, 35210, 93, 18, 1790, 16, 544, 424, 568, 339, 1189, 18, 996, 398, 13318, 3719, 554, 504, 225, 69, 3924, 16, 544, 703, 659, 286, 339, 660, 286, 1028, 326, 225, 88, 76, 73, 3924, 18, 203, 13721, 203, 11656, 398, 13318, 3719, 554, 659, 388, 813, 225, 69, 3924 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 3603, 325, 2441, 18, 332, 840, 5111, 388, 4586, 225, 69, 936, 388, 5828, 423, 12023, 286, 43586, 2569, 1519, 286, 2116, 2021, 325, 279, 3661, 18, 14658, 13254, 424, 1085, 20999, 10919, 423, 12023, 286, 2124, 44214, 18551, 18, 203, 1833, 424, 314, 1095, 225, 69, 3240, 286, 25887, 35, 203, 829, 1374, 286, 6784, 225, 88, 76, 73, 2792, 4580, 292, 25887, 16, 313, 659, 286, 1095, 225, 69, 832, 17, 25, 927, 3240, 18, 3728, 16, 691, 313, 1085, 225, 88, 76, 73, 910, 26084, 16, 313, 424, 4167, 225, 88, 76, 73, 910, 292, 442, 7149, 18, 2894, 352, 87, 554, 345, 313, 424, 3711, 325, 18, 1507, 927, 377, 16, 2124, 44214, 18551, 8956, 16, 1745, 17, 77, 82, 383, 225, 88, 76, 73, 4559, 16, 290, 1708, 1357, 326, 629, 33572, 1189, 18, 828, 424, 2403, 629, 1864, 12546, 1315, 43055, 274, 14823, 1315, 19784, 6565, 14636, 448, 16, 781, 274, 33004, 16, 290, 50071, 324, 18, 828, 424, 568, 1386, 225, 69, 2403, 286, 46810, 579, 31322, 10918, 18, 9365, 16, 1508, 225, 69, 9007, 79, 2895, 5111, 325, 14180, 4488, 18, 5900, 2986, 363, 1021, 12071, 321, 827, 313, 424, 2403, 4255, 387, 10918, 16, 14251, 438, 546, 6343, 19616, 16, 290, 609, 10909, 3345, 18, 4217, 785, 286, 44214, 18551, 431, 1876, 18, 2976, 685, 882, 339, 11797, 286, 24870, 5326, 75, 827, 313, 424, 2403, 225, 69, 4383, 10493, 11403, 18, 828, 783, 568, 25480, 291, 629, 4993, 2580, 691, 313, 2073, 286, 2403, 1154, 27460, 18, 7219, 927, 16, 2124, 8066, 5326, 75, 290, 36738, 291, 629, 33397, 1027, 7511, 225, 88, 76, 73, 7518, 4858, 292, 364, 21016, 10690, 31752, 18, 32734, 2986, 965, 325, 927, 848, 18, 203, 13133, 2890, 905, 11664, 2207, 291, 25887, 35, 203, 43546, 10222, 292, 25887, 16, 37460, 418, 382, 16, 1403, 20292, 81, 11989, 40365, 8325, 5934, 16, 20292, 81, 11989, 1032, 20784, 22392, 16, 18098, 12492, 10177, 664, 6805, 628, 1239, 290, 28635, 16, 290, 20292, 81, 11989, 17331, 29085, 371, 629, 292, 225, 88, 76, 73, 1381, 17, 31527, 2890, 423, 25887, 18, 203, 829, 573, 1285, 554, 424, 1508, 4993, 2580, 291, 25887, 35, 203, 2598, 225, 88, 76, 73, 991, 292, 2494, 1285, 650, 225, 88, 76, 73, 2218, 11667, 318, 4434, 346, 4993, 225, 88, 76, 73, 10909, 424, 1508, 4993, 3304, 955, 359, 4993, 16685, 16, 4993, 6428, 16, 4993, 28808, 16, 266, 2133, 2674, 18, 203, 13133, 371, 225, 88, 76, 73, 910, 3152, 286, 2403, 291, 25887, 35, 203, 4664, 292, 225, 88, 76, 73, 910, 1712, 3152, 286, 2403, 291, 25887, 371, 44214, 18551, 16, 24870, 5326, 75, 16, 8066, 5326, 75, 290, 363, 1021, 12071, 321, 18, 203, 43173, 1997, 203, 31753, 15, 15857, 1632, 28661, 203, 17826, 343, 8692, 296, 15857, 1632, 203, 44901, 300, 18511, 7819, 203, 1833, 601, 7237, 203, 21, 203, 10220, 814, 738, 21287, 203, 7872, 2684, 359, 619, 398, 2321, 1095, 954, 6341, 225, 88, 76, 73, 3472, 18, 203, 22, 203, 4378, 21719, 35338, 203, 16578, 346, 1174, 685, 8007, 16, 9538, 13261, 954, 13819, 2314, 18, 203, 23, 203, 6520, 409, 3829, 15468, 203, 11361, 291, 1709, 39555, 954, 623, 2629, 286, 1508, 398, 5176, 18, 203, 49797, 5333, 431, 531, 8734, 5822, 6346, 423, 2086, 2916, 203, 163, 229, 122, 21, 16, 11233, 21, 163, 229, 122, 22, 16, 27, 7272, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 30825, 20512, 203, 14991, 877, 203, 28, 18, 20, 203, 28707, 409, 4622, 24687, 4395, 44214, 18551, 203, 26189, 431, 8734, 14715, 16183, 203, 55, 7833, 18551, 203, 22, 6346, 423, 2086, 2916, 203, 163, 229, 122, 22, 16, 4309, 24, 163, 229, 122, 23, 16, 41777, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 30825, 20512, 203, 14991, 877, 203, 28, 18, 20, 203, 20678, 6817, 3348, 2924, 3010, 28761, 44214, 18551, 203, 26189, 431, 8734, 14715, 16183, 203, 55, 7833, 18551, 203, 23, 6346, 423, 2086, 2916, 203, 163, 229, 122, 22, 16, 33224, 163, 229, 122, 23, 16, 26, 10266, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 30825, 20512, 203, 14991, 877, 203, 28, 18, 20, 203, 28707, 1273, 9646, 12737, 44214, 18551, 203, 26189, 431, 8734, 14715, 16183, 203, 55, 7833, 18551, 203, 22, 6346, 423, 2086, 2916, 203, 163, 229, 122, 24, 16, 23116, 163, 229, 122, 26, 16, 23, 916, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 30825, 20512, 203, 22571, 203, 29, 18, 20, 203, 28707, 19828, 47910, 8066, 5326, 75, 203, 26633, 5326, 75, 203, 163, 229, 122, 25, 16, 5297, 163, 229, 122, 27, 16, 29, 4946, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 8460, 42953, 17428, 12759, 203, 30825, 20512, 203, 22571, 203, 29, 18, 20, 203, 28707, 5500, 10947, 14410, 24870, 5326, 75, 203, 43, 362, 5326, 75, 203, 3475, 6346, 423, 2086, 2916, 203, 163, 229, 122, 23, 16, 20, 6181, 163, 229, 122, 24, 16, 5858, 26, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 30825, 20512, 203, 14991, 877, 203, 28, 18, 28, 203, 28707, 14366, 43447, 203, 55, 7833, 18551, 203, 23, 6346, 423, 2086, 2916, 203, 163, 229, 122, 22, 16, 15956, 163, 229, 122, 23, 16, 29, 2173, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6036, 203, 9, 43277, 203, 30825, 20512, 203, 14991, 877, 203, 28, 18, 20, 203, 28707, 5138, 7470, 3447, 44214, 18551, 203, 55, 7833, 18551, 203, 2455, 27, 6346, 423, 2086, 2916, 203, 163, 229, 122, 21, 16, 10731, 163, 229, 122, 23, 16, 41383, 203, 520, 1876, 203, 5592, 44251, 49159, 11397, 203, 2546, 325, 286, 942, 524, 1656, 531, 2024, 1246, 443, 5, 203, 6070, 1558, 203, 36555, 526, 848, 1477, 3240, 286, 25887, 203, 23, 2039, 2376, 203, 1200, 318, 225, 88, 76, 73, 2630, 595, 314, 1837, 225, 69, 5342, 423, 8734, 32069, 18, 409, 1085, 527 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 73, 1787, 423, 3129, 44630, 37236, 335, 628, 581, 708, 286, 2395, 225, 88, 76, 73, 1819, 2200, 18, 20957, 423, 47117, 389, 4193, 55, 7509, 16, 225, 88, 76, 73, 8023, 5819, 371, 7924, 16, 290, 3665, 359, 225, 69, 14870, 345, 326, 479, 519, 4320, 16, 12555, 459, 427, 225, 69, 1406, 595, 286, 502, 543, 720, 2, 0, 6685, 868, 73, 396, 7389, 368, 45460, 346, 363, 378, 13, 10703, 286, 3045, 290, 8431, 374, 81, 1287, 272, 31, 14038, 346, 384, 6185, 4249, 292, 5169, 363, 15874, 2435, 290, 36563, 1287, 272, 203, 5704, 45, 203, 6709, 397, 3358, 203, 15434, 282, 18697, 774, 1287, 272, 5595, 25323, 774, 10754, 203, 8678, 2890, 203, 13971, 277, 2890, 3305, 431, 3525, 16, 2411, 16, 13686, 290, 3508, 18, 203, 3532, 1755, 1879, 25227, 1713, 292, 279, 21169, 11535, 42996, 30, 689, 17480, 3032, 290, 12717, 14615, 25728, 774, 1911, 18, 1148, 6, 38853, 203, 18448, 13953, 363, 4125, 396, 13656, 7545, 13159, 16, 18841, 532, 13, 203, 3532, 1755, 1879, 47719, 292, 279, 6053, 16, 2613, 423, 225, 88, 76, 73, 2927, 7545, 13159, 16, 9430, 30, 689, 17480, 3032, 290, 12717, 14615, 25728, 774, 1911, 18, 1148, 2670, 3055, 431, 4606, 13953, 363, 4125, 18, 409, 6053, 5524, 225, 88, 76, 73, 2654, 290, 9462, 10373, 292, 5442, 363, 4125, 16, 4466, 203, 41, 203, 11469, 21017, 1287, 272, 31, 5169, 363, 15874, 2435, 396, 40861, 14615, 4668, 3726, 16, 29878, 17, 2288, 17, 4309, 13, 203, 6685, 868, 73, 290, 12712, 3362, 286, 225, 88, 76, 73, 12932, 292, 34338, 1287, 272, 290, 5169, 363, 15874, 2435, 16, 4900, 3723, 286, 3045, 18, 290, 8431, 18, 5169, 1287, 272, 203, 40781, 423, 9499, 46418, 19468, 468, 286, 633, 14757, 16, 9559, 10966, 76, 203, 16359, 14507, 980, 583, 325, 26292, 282, 3612, 799, 36993, 12386, 636, 13429, 326, 225, 88, 76, 73, 17428, 38853, 203, 24979, 396, 33281, 532, 13, 203, 2793, 583, 16, 9129, 5974, 292, 5747, 290, 631, 3069, 326, 1863, 326, 225, 88, 76, 73, 17428, 31, 3055, 325, 20241, 290, 14522, 11544, 292, 2794, 18, 601, 5795, 32307, 16, 16805, 345, 4164, 4503, 371, 5071, 203, 8749, 38574, 25227, 22015, 423, 16, 225, 88, 76, 73, 2927, 7545, 13159, 16, 12386, 636, 225, 88, 76, 73, 19607, 292, 3045, 18, 290, 8431, 18, 5169, 378, 18, 45005, 38853, 203, 24979, 396, 40861, 14615, 4668, 3726, 2562, 23836, 17, 6688, 17, 3859, 13, 203, 8749, 8450, 47719, 423, 225, 88, 76, 73, 2927, 7545, 13159, 16, 5524, 225, 88, 76, 73, 9018, 292, 3045, 18, 290, 8431, 18, 5169, 378, 18, 45005, 203, 51, 4490, 1360, 292, 5169, 1558, 1896, 38853, 203, 24979, 396, 40861, 14615, 4668, 3726, 18, 61, 1170, 1242, 8506, 16, 19611, 17, 6688, 17, 825, 13, 203, 51, 4490, 1360, 292, 5169, 1558, 1896, 774, 225, 88, 76, 73, 47719, 318, 2613, 423, 225, 88, 76, 73, 577, 1170, 1242, 8506, 203, 40861, 3807, 22624, 8768, 20871, 1323, 38853, 203, 23206, 2951, 35575, 13936, 396, 33281, 532, 13, 203, 521, 41382, 318, 1188, 6, 374, 3636, 1260, 848, 19, 28, 6, 378, 3636, 19933, 6, 316, 16, 1406, 1702, 16, 346, 14522, 290, 2399, 22, 673, 17, 39520, 4503, 31, 357, 318, 291, 2365, 877, 1991, 16, 517, 629, 292, 225, 88, 76, 73, 4503, 427, 652, 13973, 524, 290, 2970, 16, 2289, 69, 8997, 1815, 203, 2943, 8768, 203, 31763, 203, 40861, 14615, 4668, 203, 17359, 203, 40861, 14615, 4668, 203, 7412, 203, 21896, 203, 14954, 2770, 4099, 27, 1366, 18, 203, 40861, 16, 9257, 16, 1669, 4299, 3456, 203, 6140, 203, 1791, 28, 17, 5831, 25, 17, 2905, 6011, 203, 45150, 318, 11643, 2519, 6350, 292, 16561, 4804, 30426, 30038, 203, 5637, 2812, 999, 17430, 29864, 203, 13822, 203, 13822, 203, 21449, 20529, 203, 1200, 19053, 290, 709, 2094, 318, 46778, 431, 225, 88, 76, 73, 16561, 14615, 4668, 16, 3726, 2562, 388, 431, 3197, 290, 609, 22077, 388, 783, 339, 1011, 78, 2, 0, 26837, 732, 6168, 1910, 318, 2636, 1188, 286, 2116, 16, 290, 408, 352, 264, 7171, 291, 325, 225, 88, 76, 73, 1189, 5, 996, 16, 286, 313, 16, 22627, 732, 318, 715, 1334, 313, 2842, 398, 31442, 7511, 16, 660, 352, 87, 541, 940, 543, 286, 1973, 290, 6118, 581, 442, 3778, 17080, 16, 290, 786, 1317, 595, 286, 623, 698, 357, 720, 915, 18, 203, 1647, 318, 22627, 732, 35, 203, 26837, 732, 318, 225, 69, 3652, 16, 35335, 4522, 423, 225, 88, 76, 73, 1856, 5058, 292, 32990, 7139, 291, 1009, 274, 434, 14544, 18, 601, 352, 87, 1036, 291, 225, 88, 76, 73, 22870, 486, 478, 510, 94, 3442, 345, 22627, 732, 318, 20784, 698, 6455, 969, 16, 359, 1263, 359, 11008, 39716, 290, 46779, 38334, 18, 203, 29168, 22627, 732, 318, 959, 423, 225, 88, 76, 73, 4843, 298, 1985, 1392, 74, 1985, 352, 21803, 16, 290, 442, 5706, 3442, 318, 225, 88, 76, 73, 770, 1128, 291, 225, 88, 76, 73, 1004, 345, 424, 37575, 6361, 2449, 16047, 524, 292, 225, 88, 76, 73, 21803, 18, 203, 1833, 22627, 732, 318, 959, 203, 48, 7530, 292, 21232, 291, 225, 69, 22627, 732, 1544, 79, 203, 15642, 2634, 203, 7347, 12856, 16, 225, 69, 1240, 2487, 292, 21803, 3720, 318, 2657, 286, 5891, 225, 88, 76, 73, 6628, 1398, 292, 225, 88, 76, 73, 4522, 18, 738, 18934, 670, 2296, 292, 22627, 732, 459, 339, 3689, 30, 393, 1985, 388, 453, 4529, 25694, 18, 453, 4529, 25694, 318, 225, 69, 3255, 14798, 290, 11706, 10650, 4522, 16, 35335, 286, 225, 69, 5711, 292, 1946, 3159, 6628, 18, 393, 1985, 504, 225, 69, 3151, 1398, 292, 4033, 2634, 16, 286, 225, 69, 5711, 292, 1583, 3159, 16, 290, 4722, 318, 1316, 286, 1118, 225, 69, 13286, 8224, 1740, 1392, 74, 4529, 6364, 4445, 9135, 225, 88, 76, 73, 12856, 22627, 732, 318, 6488, 423, 11706, 290, 288, 1769, 698, 225, 69, 12291, 16, 3255, 290, 13888, 4522, 18, 203, 28851, 7354, 1056, 203, 28851, 7354, 203, 521, 1852, 7354, 318, 225, 69, 1056, 292, 16664, 274, 23838, 290, 12856, 345, 2418 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 1823, 2533, 16, 225, 88, 76, 73, 874, 93, 459, 339, 9285, 5, 10390, 290, 5975, 459, 4770, 225, 88, 76, 73, 1876, 1576, 5, 203, 59, 11575, 203, 4379, 225, 88, 76, 73, 7742, 1452, 286, 15274, 3597, 286, 225, 88, 76, 73, 9232, 16, 9099, 428, 9000, 62, 61, 10988, 424, 1369, 313, 346, 225, 88, 76, 73, 3046, 1398, 292, 14697, 10890, 313, 5435, 18, 1558, 398, 4694, 459, 1508, 225, 88, 76, 73, 1876, 290, 2842, 708, 1403, 290, 3281, 225, 88, 76, 73, 1876, 385, 18, 203, 24928, 9752, 203, 11195, 326, 225, 88, 76, 73, 1819, 6560, 326, 398, 1358, 5550, 1465, 35, 7583, 786, 2314, 720, 9099, 428, 9000, 62, 61, 10988, 18, 4107, 318, 33087, 286, 225, 88, 76, 73, 26335, 290, 1551, 18, 2952, 10349, 1452, 286, 4396, 345, 1054, 2940, 292, 1452, 286, 623, 398, 4694, 1597, 1189, 16, 313, 459, 1508, 225, 88, 76, 73, 1185, 5, 203, 13288, 9752, 203, 40, 1722, 16, 12378, 16, 39177, 16, 18804, 31706, 16, 290, 5598, 12670, 5046, 459, 1411, 339, 225, 88, 76, 73, 1150, 819, 6560, 318, 2758, 431, 9099, 428, 9000, 62, 61, 10988, 18, 7773, 459, 34854, 581, 225, 88, 76, 73, 1465, 290, 764, 2540, 286, 225, 88, 76, 73, 1358, 1465, 5, 3747, 2832, 29357, 4770, 650, 803, 2141, 623, 1191, 5, 203, 2338, 203, 18646, 29494, 203, 18646, 5046, 1706, 6560, 2758, 326, 29583, 16, 13139, 677, 16, 41239, 16, 5176, 5046, 16, 388, 715, 326, 1189, 18, 996, 313, 371, 1536, 326, 225, 69, 836, 286, 17316, 527, 225, 88, 76, 73, 1465, 313, 371, 3247, 16, 764, 786, 2314, 720, 9099, 428, 9000, 62, 61, 6560, 5, 2882, 352, 88, 5792, 326, 225, 88, 76, 73, 47324, 1818, 292, 2322, 650, 313, 424, 917, 225, 69, 631, 3163, 292, 10890, 18, 2, 0, 21, 203, 4644, 3436, 16, 2153, 291, 3635, 16, 14841, 999, 15900, 30, 957, 33197, 16, 12361, 1720, 19540, 2590, 1818, 16, 9141, 16, 478, 20276, 40927, 16, 40199, 2345, 277, 16, 4210, 316, 420, 18199, 83, 16, 11382, 14781, 83, 16, 33424, 2667, 16, 33841, 848, 3021, 999, 9829, 225, 69, 3465, 203, 521, 332, 3048, 3363, 2498, 1846, 6213, 225, 88, 76, 73, 3990, 981, 9292, 2976, 2719, 715, 708, 17264, 225, 88, 76, 73, 8713, 1133, 29190, 356, 555, 5593, 4254, 290, 225, 88, 76, 73, 2217, 27214, 28740, 8246, 424, 339, 31, 8325, 318, 15371, 10837, 290, 225, 88, 76, 73, 17727, 16, 40268, 16, 290, 14695, 371, 3513, 12259, 18, 18612, 16, 2123, 225, 88, 76, 73, 5259, 290, 225, 88, 76, 73, 2066, 345, 225, 88, 76, 73, 17414, 371, 581, 2313, 1631, 4196, 720, 225, 88, 76, 73, 8325, 12259, 544, 2432, 16, 225, 88, 76, 73, 1257, 318, 449, 33708, 16, 3851, 357, 318, 21904, 282, 1796, 345, 3044, 2029, 5954, 318, 3437, 18, 203, 829, 225, 88, 76, 73, 11382, 14781, 83, 357, 424, 764, 664, 225, 88, 76, 73, 3635, 291, 442, 1244, 18, 16747, 5237, 225, 69, 1240, 5499, 1180, 387, 9703, 286, 225, 69, 24917, 19228, 9843, 2913, 664, 12361, 1720, 19540, 2590, 1818, 16, 225, 69, 5742, 19228, 6626, 5499, 318, 3736, 6896, 93, 18, 203, 56, 736, 28761, 16, 654, 292, 624, 16, 371, 3295, 4809, 286, 1240, 6626, 10837, 18, 4210, 316, 420, 18199, 83, 2130, 318, 27738, 19228, 1613, 69, 290, 11492, 431, 13015, 8707, 37549, 832, 9367, 33218, 18, 203, 23938, 423, 29456, 5014, 660, 1380, 339, 225, 69, 3174, 3427, 7083, 16970, 18, 203, 16718, 4539, 325, 225, 88, 76, 73, 11382, 14781, 83, 318, 449, 670, 357, 318, 291, 225, 88, 76, 73, 26494, 2039, 18, 203, 12445, 18607, 371, 1740, 326, 18, 203, 3111, 2703, 1913, 1913, 1913, 203, 3001, 3635, 431, 2474, 6872, 10448, 84, 18, 203, 42176, 316, 5833, 2399, 22, 203, 6974, 3436, 16, 2153, 291, 6938, 11212, 15502, 999, 15900, 30, 12140, 16, 9141, 16, 22708, 389, 16, 41999, 316, 16, 15700, 434, 16265, 16, 2570, 270, 1114, 16, 1892, 25243, 16, 11382, 14781, 83, 16, 33424, 2667, 999, 377, 3465, 203, 5089, 25243, 37334, 698, 225, 88, 76, 73, 11382, 14781, 83, 915, 290, 1001, 31, 633, 3736, 910, 290, 840, 30421, 278, 445, 1675, 744, 633, 225, 69, 4516, 7498, 7321, 18, 314, 2466, 442, 318, 225, 88, 76, 73, 1172, 595, 314, 2897, 633, 1036, 2340, 797, 806, 2376, 18, 203, 47585, 389, 724, 4938, 325, 442, 2535, 1036, 16, 1220, 806, 2376, 18, 1009, 1036, 352, 87, 1334, 314, 1411, 6854, 396, 281, 691, 314, 979, 16, 314, 352, 315, 11770, 13, 1913, 1913, 1913, 780, 1822, 524, 292, 225, 88, 76, 73, 1150, 8313, 225, 88, 76, 73, 1150, 27795, 595, 359, 3988, 430, 18, 5635, 16, 225, 69, 4349, 4196, 21753, 517, 346, 1490, 29901, 18, 203, 10209, 31518, 7304, 12140, 318, 225, 69, 15004, 16, 34070, 17, 15606, 33424, 345, 314, 352, 315, 2194, 6159, 1560, 1046, 13861, 426, 290, 7157, 644, 786, 6440, 6512, 3409, 18, 203, 49, 1896, 316, 385, 2387, 383, 225, 88, 76, 73, 1150, 8313, 383, 10593, 225, 88, 76, 73, 1150, 595, 359, 12140, 2304, 18, 41999, 316, 318, 4438, 431, 225, 69, 602, 290, 1490, 3416, 431, 225, 69, 1834, 18, 5794, 2357, 564, 26213, 16, 225, 69, 3770, 318, 345, 12140, 504, 18810, 18, 203, 5616, 270, 1114, 504, 2406, 1036, 326, 658, 225, 69, 7134, 1102, 203, 387, 385, 543, 3077, 3989, 431, 15700, 434, 16265, 18, 203, 18453, 12140, 2304, 16, 9141, 5272, 286, 427, 5642, 33841, 9632, 290, 49931, 326, 581, 5742, 806, 915, 2363, 2894, 352, 87, 670, 633, 4587, 3218, 664, 524, 292, 225, 88, 76, 73, 1257, 18, 203, 3001, 3635, 290, 609, 15448, 431, 2474, 6872, 10448, 84, 16, 596, 504, 286, 2819, 225, 88, 76, 73, 1411, 17, 1609, 1806, 1036, 1660, 290, 3818, 286, 609, 10373, 325, 33424, 2667, 10157, 18, 203, 42176, 316, 5833, 3275, 23, 203, 7751, 2272, 16, 2286, 291, 361, 8279, 454, 16, 38214, 11212, 16, 421, 468, 267, 323, 954, 2525, 2753, 7223, 16, 19904, 225, 88, 5833, 16, 2217, 8593 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 16, 290, 658, 803, 806, 19580, 408, 427, 2194, 28036, 2715, 1620, 543, 290, 543, 292, 225, 69, 6139, 291, 225, 69, 1250, 352, 87, 1476, 18, 2, 0, 1905, 629, 3366, 16, 279, 2098, 4927, 318, 225, 69, 891, 5190, 286, 225, 69, 42258, 388, 927, 1028, 18, 5707, 13528, 371, 7231, 23144, 423, 5193, 3317, 596, 548, 326, 290, 1766, 346, 225, 69, 2737, 1201, 16, 3047, 1444, 17, 388, 641, 17, 2378, 1103, 290, 5529, 1028, 18, 203, 37, 4467, 291, 225, 88, 76, 73, 1962, 346, 2399, 806, 352, 1185, 16, 14141, 4547, 504, 225, 88, 76, 73, 4104, 4555, 292, 6498, 24233, 6941, 18, 203, 1624, 225, 69, 11647, 15445, 6064, 16, 313, 459, 2834, 225, 69, 1175, 25, 4946, 8119, 325, 1103, 1028, 11945, 1382, 754, 14141, 4547, 18, 203, 36344, 44954, 25369, 9137, 29026, 9705, 6393, 43993, 33980, 331, 24147, 5704, 2700, 34678, 35, 203, 23225, 2187, 696, 1591, 14141, 4547, 16, 2098, 13528, 1369, 527, 286, 6049, 2021, 619, 1302, 292, 1103, 1028, 325, 225, 69, 4390, 2267, 431, 313, 18, 203, 2631, 1978, 1691, 696, 409, 3661, 1432, 292, 279, 2098, 4927, 318, 1175, 28, 619, 3597, 18, 203, 18511, 696, 5707, 13528, 4792, 431, 14141, 4547, 427, 4361, 3942, 10567, 290, 1446, 1845, 9374, 16, 955, 359, 33016, 290, 724, 4902, 22867, 18, 203, 40, 2493, 6528, 33092, 35, 203, 1543, 783, 339, 1316, 286, 3450, 325, 8861, 2098, 4927, 7994, 431, 1249, 2666, 17, 5023, 1621, 423, 398, 39746, 300, 2976, 4547, 41173, 38915, 8768, 35, 8831, 543, 203, 1200, 509, 2, 0, 23156, 8961, 22319, 42544, 4443, 2148, 16, 1369, 761, 31069, 10934, 5693, 16, 290, 1118, 225, 88, 76, 73, 3478, 17, 447, 292, 3297, 3812, 16, 2196, 1046, 10373, 18, 203, 37872, 1118, 513, 274, 1021, 203, 2091, 442, 3233, 469, 454, 326, 1310, 6382, 286, 1209, 2414, 292, 17241, 18, 996, 3282, 45, 11106, 281, 607, 979, 3629, 894, 1376, 291, 2494, 3384, 359, 544, 5586, 544, 979, 16, 290, 544, 352, 264, 7419, 3282, 45, 33447, 16, 857, 544, 8001, 326, 384, 2039, 346, 524, 225, 69, 7034, 18, 1979, 1872, 1477, 423, 225, 88, 76, 73, 2777, 292, 654, 29975, 4360, 16, 398, 5388, 17, 2959, 4794, 3849, 459, 2648, 339, 15396, 43371, 300, 290, 408, 783, 32475, 388, 25771, 404, 398, 2047, 290, 3914, 17, 33853, 3788, 1653, 3849, 326, 1928, 31622, 18, 203, 16405, 43738, 11650, 25354, 2860, 49626, 16, 7816, 4211, 3048, 2180, 10712, 43391, 54, 13557, 14691, 29986, 4986, 37818, 6094, 351, 26846, 14367, 35397, 19393, 4986, 30182, 10712, 37818, 6094, 411, 22802, 2964, 24490, 4986, 23073, 2301, 14691, 16, 4986, 32089, 10564, 14143, 21709, 1652, 9197, 4986, 23073, 2301, 14691, 16, 4986, 27239, 39, 22233, 20341, 49503, 6242, 4986, 10780, 3824, 8186, 16, 4986, 19167, 5704, 12092, 6242, 4986, 23073, 2301, 14691, 10712, 4986, 23073, 2301, 14691, 352, 31812, 5859, 38, 34446, 16, 21647, 42437, 16, 19109, 5704, 2710, 61, 16, 41184, 4181, 7845, 34446, 10712, 14112, 20546, 6030, 393, 8036, 42, 12496, 12612, 30329, 55, 16, 10780, 3824, 41, 9027, 1974, 20758, 40153, 4846, 10712, 28268, 46828, 9027, 1974, 19068, 48238, 18, 203, 43, 5995, 2016, 346, 5620, 3251, 286, 723, 39411, 225, 88, 76, 73, 910, 864, 1604, 1382, 291, 225, 69, 761, 31069, 290, 1432, 3044, 2149, 18, 409, 1319, 292, 3265, 225, 69, 932, 1767, 787, 292, 286, 5173, 519, 4443, 1118, 1275, 7507, 325, 225, 88, 76, 73, 8552, 352, 4042, 4160, 519, 2955, 286, 22478, 3665, 519, 2024, 388, 2024, 18, 332, 932, 388, 8429, 424, 352, 88, 1177, 346, 524, 709, 12813, 18, 203, 37, 6301, 1953, 318, 225, 88, 76, 73, 5880, 292, 4215, 2216, 16, 573, 504, 1490, 3863, 12250, 286, 2219, 935, 18, 996, 786, 31791, 5739, 13502, 318, 12104, 286, 339, 225, 88, 76, 73, 11736, 291, 3622, 292, 225, 69, 1883, 3849, 16, 225, 88, 76, 73, 8685, 23685, 31791, 5739, 11535, 413, 318, 453, 902, 3726, 18, 10139, 16, 631, 1646, 290, 1382, 371, 568, 961, 3118, 431, 225, 88, 76, 73, 5550, 290, 2657, 286, 225, 88, 76, 73, 4273, 292, 5804, 431, 225, 88, 76, 73, 2211, 18, 203, 3462, 1249, 442, 2343, 1637, 16, 313, 14458, 346, 225, 88, 76, 73, 18299, 292, 5577, 290, 15763, 31045, 19567, 11965, 6310, 318, 225, 69, 6581, 17805, 292, 225, 88, 76, 73, 47841, 5031, 16, 3726, 18, 22774, 3849, 9148, 318, 1349, 359, 2597, 1167, 359, 225, 69, 1310, 396, 55, 38302, 13, 431, 279, 4230, 10440, 16, 1653, 13842, 45273, 277, 1432, 6382, 326, 316, 81, 446, 290, 14644, 768, 5967, 6300, 609, 48659, 16, 1318, 1344, 2076, 745, 292, 345, 371, 1653, 4794, 291, 3671, 18, 203, 32052, 3849, 18032, 10833, 3037, 11965, 12686, 3003, 760, 1935, 982, 723, 6554, 359, 761, 359, 225, 88, 76, 73, 2246, 359, 225, 69, 2315, 10698, 1792, 1496, 286, 1310, 15169, 2453, 479, 80, 290, 13905, 398, 21981, 2047, 431, 10107, 1036, 1078, 543, 1415, 16, 2330, 2403, 225, 88, 76, 73, 5107, 8961, 5563, 18, 203, 37, 3839, 14224, 29929, 292, 548, 504, 652, 345, 292, 5442, 363, 18, 18751, 16, 4214, 5939, 1843, 292, 7781, 1420, 5260, 290, 6368, 26258, 345, 225, 88, 76, 73, 1750, 292, 442, 4674, 2216, 292, 225, 88, 76, 73, 616, 17132, 5662, 8302, 550, 1381, 339, 8982, 431, 836, 292, 616, 41068, 16, 8568, 431, 4049, 17757, 1076, 1728, 548, 23706, 225, 88, 76, 73, 2258, 2634, 292, 225, 88, 76, 73, 1851, 2198, 2836, 7996, 16, 290, 4681, 1133, 225, 88, 76, 73, 17278, 5246, 17278, 426, 290, 39126, 5246, 364, 1326, 426, 18, 203, 48189, 3942, 1324, 203, 3462, 1376, 38030, 286, 3287, 2216, 16, 6927, 4049, 744, 357, 38509, 286, 2072, 543, 20325, 225, 88, 76, 73, 1959, 1133, 225, 88, 76, 73, 1152, 69, 282, 325, 624, 18, 28326, 7021, 1653, 3849, 9148, 325, 709, 8912, 9148, 1693, 16, 225, 69, 2220, 18320, 2597, 1167, 326, 13101, 3019, 4602, 18, 8648, 313, 787, 279, 25164, 3294, 2758, 431, 443, 396, 20162, 16, 225, 69, 31791, 5739, 25164, 17769, 6404, 29043, 873, 313, 1380, 339, 11542, 12875, 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, 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, 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 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 73, 20286, 8267, 16, 225, 69, 1275, 292, 15621, 16, 1318, 41901, 3558, 21425, 423, 1808, 225, 88, 76, 73, 1868, 3972, 279, 1227, 4964, 292, 1118, 286, 225, 88, 76, 73, 36378, 4806, 4508, 291, 9424, 345, 1882, 2540, 1584, 18150, 17661, 21193, 18, 1783, 1778, 4034, 2608, 3901, 290, 4862, 519, 3798, 346, 30, 616, 988, 2466, 290, 1449, 346, 313, 1076, 1783, 1778, 643, 479, 1592, 292, 225, 69, 17782, 292, 1778, 3558, 21425, 1740, 8607, 26991, 33899, 486, 4250, 272, 26364, 396, 88, 76, 73, 2090, 7510, 30204, 5134, 352, 87, 11366, 859, 203, 8749, 1477, 819, 225, 88, 76, 73, 4964, 385, 2740, 16, 6177, 292, 1778, 291, 5511, 5894, 1447, 6423, 286, 10868, 5490, 20985, 18, 409, 2339, 13813, 31984, 816, 2209, 1837, 1128, 325, 2636, 1519, 88, 76, 16, 2451, 291, 8758, 5511, 5894, 286, 1582, 225, 69, 2703, 1803, 326, 17111, 290, 17837, 286, 15005, 1584, 5490, 33902, 18, 1507, 345, 1150, 927, 16, 225, 88, 76, 73, 616, 8514, 5877, 225, 88, 76, 73, 32839, 550, 17810, 568, 1112, 291, 8758, 5511, 5894, 286, 949, 225, 69, 1449, 1584, 5490, 20985, 291, 225, 88, 76, 73, 9178, 18, 409, 797, 47637, 1112, 383, 225, 88, 76, 73, 1150, 1128, 290, 1511, 30480, 326, 1670, 8266, 290, 9043, 345, 703, 1118, 17111, 292, 803, 13182, 18, 203, 5733, 442, 595, 16, 1378, 3224, 385, 961, 4734, 286, 339, 5292, 291, 9424, 286, 7210, 286, 225, 88, 76, 73, 13434, 10138, 292, 1778, 352, 87, 25616, 18, 557, 3918, 286, 225, 88, 76, 73, 4964, 292, 1118, 423, 15621, 16, 1318, 1778, 3558, 21425, 16, 26054, 352, 55, 15867, 13067, 5292, 325, 2494, 377, 334, 16, 2286, 346, 519, 884, 1227, 4964, 4862, 431, 658, 7070, 1778, 291, 225, 88, 76, 73, 6560, 1950, 18, 22360, 291, 225, 88, 76, 73, 1063, 2229, 6320, 16, 442, 4964, 26465, 225, 88, 76, 73, 3558, 21425, 290, 3823, 345, 544, 703, 339, 1249, 519, 2774, 290, 5866, 286, 12252, 326, 17111, 292, 20985, 290, 27571, 18, 26054, 352, 55, 3392, 1778, 928, 16, 616, 270, 496, 318, 1796, 1395, 290, 2267, 225, 69, 3968, 345, 616, 1448, 1131, 2971, 225, 69, 1004, 827, 548, 318, 2703, 16, 3492, 16, 290, 49050, 326, 1778, 292, 479, 5836, 1076, 203, 56, 18094, 352, 55, 15867, 568, 5292, 225, 69, 1319, 292, 9532, 286, 2359, 7681, 16320, 290, 9178, 3097, 291, 1952, 7452, 18, 409, 26054, 352, 55, 15867, 13168, 12936, 6327, 385, 3178, 286, 723, 17111, 16, 2276, 1778, 292, 5321, 290, 2110, 17, 19493, 1778, 16, 623, 4737, 286, 11132, 290, 3169, 18, 738, 2774, 504, 658, 11911, 11132, 27749, 326, 1778, 352, 87, 5950, 18, 203, 21741, 16, 26054, 352, 55, 15867, 385, 3178, 286, 3349, 1924, 7856, 292, 20985, 290, 15567, 18, 557, 225, 69, 10666, 286, 5891, 6031, 326, 225, 88, 76, 73, 3028, 16, 798, 13560, 292, 225, 88, 76, 73, 8451, 88, 76, 8541, 21402, 6894, 13618, 2532, 346, 1970, 6179, 24255, 290, 26054, 352, 55, 15867, 18810, 286, 1118, 225, 88, 76, 73, 3968, 18, 332, 1162, 15373, 1315, 8717, 2571, 24903, 290, 351, 9012, 3271, 7902, 5065, 20225, 396, 23493, 3296, 292, 8607, 26991, 33899, 486, 4250, 272, 26364, 13, 643, 6800, 359, 4694, 292, 1952, 19121, 18, 332, 1319, 292, 9895, 3325, 2719, 3938, 16, 1315, 225, 88, 76, 73, 2286, 39935, 1330, 290, 225, 88, 76, 73, 2286, 361, 47201, 6741, 6894, 291, 3023, 18, 203, 20477, 16, 408, 352, 635, 2145, 1036, 326, 225, 88, 76, 73, 915, 18, 996, 313, 371, 1536, 286, 623, 279, 3281, 2343, 946, 1250, 16, 502, 2920, 325, 1036, 5, 203, 1905, 543, 13485, 16, 2920, 325, 1036, 18, 203, 15601, 1202, 3022, 75, 1202, 962, 680, 75, 1202, 34016, 2535, 15245, 932, 946, 946, 23081, 946, 47455, 2825, 356, 1505, 16320, 35767, 2767, 82, 27207, 380, 1778, 3968, 2, 0, 829, 2616, 314, 2483, 286, 7352, 346, 7681, 29612, 290, 2442, 2203, 352, 87, 6143, 703, 1234, 530, 286, 1766, 359, 225, 69, 3259, 18, 2203, 352, 87, 3466, 286, 530, 385, 225, 69, 47973, 616, 15850, 5128, 738, 318, 551, 1806, 18, 203, 521, 2537, 292, 551, 7681, 5966, 2483, 225, 88, 15884, 383, 530, 1154, 1846, 8100, 650, 314, 1100, 225, 69, 4684, 292, 2448, 352, 87, 14498, 291, 531, 8171, 18, 314, 23429, 3867, 325, 760, 4283, 18, 12831, 2540, 225, 69, 1162, 806, 16, 551, 9895, 7352, 346, 37140, 2483, 359, 225, 69, 673, 17, 6797, 650, 225, 69, 6147, 1279, 290, 314, 5476, 225, 69, 2770, 292, 1367, 18144, 8022, 12032, 291, 554, 292, 225, 88, 76, 73, 1491, 15701, 352, 87, 11138, 4834, 18, 601, 385, 225, 69, 7352, 345, 703, 1172, 326, 225, 88, 76, 73, 1358, 5742, 806, 18, 203, 2943, 41646, 3223, 3119, 530, 286, 225, 88, 76, 73, 5528, 383, 225, 88, 76, 73, 2184, 292, 4266, 819, 8327, 225, 69, 1491, 3042, 1771, 18, 24130, 290, 314, 1112, 383, 345, 823, 1150, 1771, 2769, 806, 1708, 18, 4150, 225, 88, 76, 73, 797, 806, 345, 408, 14217, 16, 314, 4034, 346, 633, 551, 7352, 346, 37140, 18, 557, 16396, 292, 442, 16, 551, 12731, 6672, 286, 13450, 530, 290, 2065, 6300, 530, 18, 828, 821, 16, 1119, 292, 443, 6951, 291, 225, 88, 76, 73, 2078, 2377, 1941, 345, 5993, 703, 339, 225, 88, 76, 73, 3466, 286, 551, 7352, 346, 29369, 18, 707, 643, 3660, 5, 6466, 16, 531, 5993, 703, 28664, 17, 7497, 326, 225, 88, 76, 73, 1358, 2399, 806, 18, 1456, 1631, 16, 650, 531, 2065, 346, 1895, 385, 3418, 815, 16, 531, 5993, 385, 2910, 18, 557, 1133, 16, 650, 314, 13924, 346, 18144, 16, 531, 2168, 3557, 14627, 290, 26053, 746, 31, 1040, 595, 16, 1308, 431, 1308, 16, 551, 11017, 703, 6837, 47269, 18, 5938, 16, 11017, 1071, 345, 18, 828, 943, 352, 88, 13008, 423, 332, 286, 351, 286, 1343, 31, 3043, 16, 313, 3360, 6837, 423, 332, 286, 361, 286, 331, 18, 1009, 650, 313, 2124, 351, 388, 1343, 16, 313, 2795, 16, 616, 1833, 979, 314, 623, 1036, 3740, 203, 2856 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 18, 203, 1624, 522, 4697, 41813, 286, 26342, 16, 458, 2704, 290, 24521, 524, 383, 225, 88, 76, 73, 3830, 1004, 629, 6306, 15372, 644, 1736, 339, 6990, 1143, 2, 0, 2691, 658, 797, 5256, 1592, 290, 15543, 16, 3814, 504, 652, 8586, 3496, 709, 3041, 2774, 1364, 709, 11303, 291, 4988, 18, 1507, 1174, 292, 225, 69, 6452, 3041, 3039, 16, 225, 88, 76, 73, 1670, 2155, 1250, 14587, 2220, 5667, 5505, 290, 46246, 16, 290, 3077, 2483, 9567, 1766, 1787, 18, 1542, 1446, 225, 88, 76, 73, 1801, 17, 20662, 8465, 292, 5050, 10072, 8422, 292, 4539, 16, 1913, 1979, 8063, 277, 291, 325, 225, 88, 76, 73, 3551, 6532, 16, 3814, 917, 524, 286, 942, 225, 88, 76, 73, 3053, 292, 709, 16577, 528, 18, 55, 18, 1415, 3313, 18, 203, 521, 6093, 18412, 203, 521, 15435, 49133, 3439, 6467, 2916, 8146, 203, 6604, 286, 4093, 15621, 1415, 8626, 16, 6093, 15645, 554, 292, 225, 88, 76, 73, 4104, 1415, 3313, 5819, 291, 225, 88, 76, 73, 1004, 16, 4454, 286, 225, 88, 76, 73, 15435, 352, 87, 1496, 286, 225, 69, 10283, 11120, 290, 1420, 2774, 345, 6537, 388, 24474, 9488, 760, 7231, 1297, 290, 745, 1864, 2772, 8626, 1060, 225, 88, 76, 73, 1580, 88, 2741, 4530, 6302, 318, 1361, 286, 7049, 18, 203, 18391, 39415, 2307, 318, 326, 6467, 20425, 203, 18391, 39415, 2307, 16, 2558, 715, 2573, 292, 15055, 16, 882, 1369, 3814, 346, 225, 69, 39787, 17, 1784, 1637, 290, 2823, 17, 9345, 24891, 18, 4367, 9542, 5852, 2409, 16, 225, 69, 3997, 17, 29902, 864, 17, 13637, 6142, 3313, 19305, 2558, 383, 225, 88, 76, 73, 14704, 292, 314, 17, 48943, 290, 314, 17, 9940, 16, 318, 41269, 2389, 286, 1446, 225, 88, 76, 73, 5259, 290, 2825, 3554, 3572, 326, 1415, 8626, 18, 409, 1637, 318, 3220, 431, 38145, 7330, 2726, 797, 28003, 556, 12202, 10578, 3882, 16, 504, 2645, 1257, 290, 21586, 4767, 16, 290, 2221, 15577, 754, 3080, 11120, 6382, 16, 346, 2917, 7249, 286, 225, 88, 76, 73, 631, 1022, 34686, 4611, 1011, 11715, 16270, 10063, 325, 6093, 352, 87, 33091, 2313, 4638, 1576, 18, 203, 37, 2474, 277, 14438, 203, 4000, 803, 643, 479, 4293, 4131, 292, 3814, 352, 87, 2247, 16, 225, 88, 76, 73, 16546, 8203, 1670, 2155, 1250, 568, 44579, 961, 1316, 286, 3481, 1965, 290, 14549, 2183, 290, 1100, 225, 69, 7019, 3372, 291, 6093, 18, 38145, 7330, 6093, 290, 3814, 2406, 1511, 286, 1582, 225, 69, 631, 16, 14549, 2183, 38480, 1740, 17199, 19772, 18, 409, 38480, 459, 1234, 3814, 290, 609, 1648, 2183, 2798, 286, 1446, 519, 1551, 754, 225, 88, 76, 73, 1408, 292, 14549, 2183, 5178, 18, 1099, 225, 69, 8635, 4087, 3734, 16, 225, 88, 76, 73, 14549, 2183, 2547, 3220, 811, 442, 38480, 1381, 339, 3500, 291, 6093, 18, 21719, 6901, 4797, 459, 339, 8568, 286, 1310, 3814, 352, 87, 5355, 39415, 6467, 2916, 346, 2313, 3159, 14549, 2183, 18, 203, 34343, 504, 652, 225, 69, 965, 286, 225, 88, 76, 73, 3298, 1364, 225, 88, 76, 73, 7305, 1950, 352, 87, 12944, 1477, 18, 1009, 4454, 286, 5355, 39415, 2307, 352, 87, 10283, 6302, 290, 7769, 932, 5306, 326, 1415, 3313, 1750, 16, 408, 882, 449, 339, 543, 13232, 286, 11401, 531, 1358, 1415, 3313, 1036, 18, 1605, 6182, 631, 1415, 3313, 5216, 16, 408, 449, 770, 764, 326, 1965, 290, 14549, 2183, 3153, 16, 517, 891, 12610, 1434, 225, 88, 76, 73, 1491, 1504, 16, 225, 69, 1977, 4273, 292, 1491, 4514, 16, 3281, 1496, 286, 11120, 16, 290, 225, 69, 10283, 4180, 11491, 18, 5355, 39415, 2307, 290, 225, 88, 76, 73, 15435, 292, 6093, 504, 357, 479, 18, 203, 29743, 25094, 4136, 292, 6467, 2916, 13578, 16, 3814, 203, 34343, 2452, 7397, 14237, 19390, 203, 829, 2485, 2451, 16, 3814, 3823, 3407, 286, 3847, 225, 69, 1260, 4472, 16, 1318, 17, 26484, 17, 9381, 1415, 3313, 291, 225, 88, 76, 73, 4367, 9542, 5852, 2409, 291, 5355, 39415, 2307, 18, 409, 1250, 5311, 286, 9638, 1175, 22984, 2372, 291, 225, 88, 76, 73, 1512, 16, 359, 761, 359, 6177, 292, 8233, 292, 2917, 6514, 291, 225, 88, 76, 73, 3344, 292, 225, 88, 76, 73, 6901, 4797, 286, 1310, 3814, 352, 87, 5355, 39415, 6467, 2916, 18, 409, 3758, 3983, 385, 8192, 383, 1175, 21, 5256, 290, 225, 88, 76, 73, 27795, 1616, 5675, 383, 2313, 631, 16, 1444, 17, 2378, 9622, 3419, 18, 203, 22759, 548, 2483, 291, 2827, 2286, 16, 715, 2176, 2039, 819, 225, 88, 76, 73, 1512, 385, 3823, 16, 4454, 286, 5355, 39415, 2307, 352, 87, 2823, 24891, 8569, 1167, 290, 225, 88, 76, 73, 1750, 17, 1784, 1637, 383, 4367, 9542, 5852, 2409, 18, 557, 2427, 2286, 16, 3814, 5311, 286, 279, 2917, 3983, 292, 1175, 22984, 2372, 286, 13660, 1220, 631, 6052, 16, 1318, 17, 26484, 17, 9381, 4700, 16, 5486, 225, 88, 76, 73, 5812, 2914, 5238, 12544, 286, 658, 384, 18, 24, 2372, 5238, 3779, 18, 203, 35637, 8981, 16, 26109, 2307, 203, 34343, 12117, 4691, 19170, 203, 13664, 2079, 1558, 3993, 12307, 18, 12973, 1013, 346, 9443, 18, 203, 988, 787, 9984, 286, 1182, 313, 225, 69, 1317, 18028, 1185, 16, 12094, 1637, 4539, 16, 32592, 2094, 16, 290, 3665, 10155, 19295, 18, 2, 0, 45, 714, 225, 69, 24309, 4881, 292, 554, 17, 10573, 2795, 9117, 16, 290, 1509, 225, 69, 2608, 15655, 16, 554, 17, 5181, 388, 18477, 7522, 18, 1366, 3077, 16, 650, 2586, 286, 4785, 325, 225, 69, 631, 6845, 286, 1735, 524, 346, 225, 88, 76, 73, 1201, 326, 5368, 16, 314, 2891, 286, 11522, 225, 69, 17467, 70, 512, 5675, 5, 738, 7307, 17467, 70, 512, 3667, 629, 292, 551, 9074, 6967, 17464, 696, 19501, 16, 42951, 16, 42763, 16, 17546, 16, 11673, 5, 16433, 794, 16, 357, 385, 225, 69, 1864, 2843, 346, 551, 1201, 696, 225, 69, 2328, 16, 3485, 4712, 1444, 292, 5321, 16, 225, 69, 891, 4610, 292, 1518, 3074, 286, 723, 313, 1446, 225, 69, 4567, 12393, 292, 398, 3225, 18651, 17, 290, 5188, 17, 12112, 417, 300, 1551, 5, 4903, 286, 623, 6270, 5 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 1286, 22313, 15267, 396, 3640, 7423, 873, 23383, 3502, 3962, 203, 49520, 18802, 603, 3070, 1286, 22313, 15267, 396, 3640, 10156, 873, 23383, 12796, 203, 203, 45680, 35838, 203, 10474, 86, 5989, 295, 35838, 203, 55, 6634, 1114, 423, 2123, 4590, 2, 0, 24787, 7833, 8746, 396, 3640, 2494, 3498, 16, 10858, 13, 318, 225, 69, 41629, 10304, 17, 10466, 1644, 16118, 47981, 290, 10565, 9425, 13686, 1712, 326, 225, 88, 76, 73, 44465, 10565, 17216, 12552, 281, 3445, 290, 40352, 2409, 18, 731, 318, 225, 69, 44465, 16118, 47981, 346, 2938, 13490, 18, 396, 4075, 16118, 28363, 643, 16364, 44465, 431, 409, 4365, 3797, 20652, 3348, 3155, 203, 203, 34877, 318, 225, 88, 76, 73, 724, 4958, 17, 4387, 286, 427, 797, 10565, 17216, 44465, 15865, 18, 731, 318, 568, 225, 69, 1806, 3136, 3702, 18, 8746, 26764, 291, 2148, 955, 359, 4967, 3993, 16, 1346, 3354, 16, 1201, 16, 4038, 7188, 16, 5772, 32274, 10437, 16, 290, 9156, 30500, 472, 8596, 16, 1027, 1541, 15687, 522, 4190, 291, 6460, 345, 371, 15457, 13010, 624, 18, 203, 203, 15731, 225, 203, 34877, 16, 596, 318, 2532, 290, 7184, 16, 385, 3157, 291, 5511, 5894, 16, 3470, 18, 731, 1698, 7144, 650, 458, 385, 1220, 18, 731, 5801, 225, 88, 76, 73, 1495, 292, 3470, 16, 17651, 16, 13633, 346, 225, 69, 16626, 291, 15950, 4860, 291, 6485, 18, 2776, 383, 2259, 16, 8746, 2154, 225, 88, 76, 73, 16118, 47981, 326, 409, 10061, 39493, 666, 18, 8746, 526, 17580, 16118, 12450, 11668, 2269, 2483, 291, 7601, 383, 2184, 452, 18, 1728, 724, 4556, 385, 286, 225, 88, 76, 73, 5511, 5894, 6320, 16, 573, 10102, 8356, 950, 225, 69, 17000, 760, 609, 1302, 18, 8746, 568, 3168, 522, 28363, 286, 225, 88, 76, 73, 3024, 7175, 27547, 290, 225, 88, 76, 73, 2677, 361, 21700, 396, 15982, 7649, 3888, 3348, 13, 7696, 16, 573, 2765, 225, 88, 76, 73, 18974, 26361, 18, 203, 203, 34877, 526, 9425, 12552, 281, 3445, 16, 5292, 291, 2427, 5452, 431, 409, 4365, 3797, 20652, 3348, 16, 2134, 1840, 2532, 290, 21868, 4190, 2354, 291, 225, 88, 76, 73, 7309, 1830, 18, 7447, 225, 88, 76, 73, 3897, 292, 12700, 16, 12552, 281, 3445, 8382, 1670, 290, 3506, 16895, 359, 761, 359, 225, 88, 76, 73, 3457, 292, 709, 36064, 18, 12552, 281, 3445, 5789, 524, 292, 225, 69, 10565, 9425, 1740, 10949, 701, 5635, 16, 573, 4938, 291, 225, 88, 76, 73, 2863, 8450, 292, 11762, 17651, 16, 409, 10061, 39493, 666, 16, 423, 8169, 286, 5452, 18, 601, 385, 345, 8450, 526, 13128, 17, 25103, 10565, 9425, 18, 12552, 281, 3445, 5272, 291, 658, 2313, 292, 3146, 526, 13910, 18, 203, 203, 34877, 568, 12653, 40352, 2409, 16, 225, 69, 44465, 10565, 9425, 2267, 431, 6997, 263, 378, 511, 290, 8746, 345, 385, 9471, 431, 1851, 13490, 21199, 3455, 290, 857, 409, 4365, 3797, 20652, 3348, 18, 378, 511, 16, 225, 69, 18, 79, 18, 69, 18, 5712, 4117, 11993, 16, 3972, 225, 88, 76, 73, 9425, 423, 5755, 286, 2862, 16, 650, 458, 3823, 458, 385, 2158, 225, 69, 602, 17, 7124, 266, 8374, 12377, 286, 1635, 325, 609, 2547, 18, 8746, 383, 345, 1570, 1837, 658, 225, 88, 76, 73, 2484, 10373, 359, 761, 359, 40183, 225, 88, 76, 73, 9425, 16, 573, 4810, 291, 2262, 2286, 18, 203, 203, 10220, 969, 225, 203, 34877, 2750, 21654, 291, 5511, 5894, 16, 3470, 18, 203, 203, 15603, 225, 203, 34877, 385, 2123, 225, 88, 76, 73, 2153, 41629, 10304, 326, 35910, 1697, 273, 11668, 18, 557, 1408, 286, 225, 88, 76, 73, 6924, 4842, 2130, 16, 8746, 526, 548, 1825, 1579, 3470, 3624, 49064, 19433, 5362, 3693, 6924, 290, 279, 8077, 46, 2694, 292, 17272, 4385, 16, 290, 458, 385, 225, 69, 797, 17, 2378, 13623, 17, 406, 326, 225, 88, 76, 73, 6130, 351, 18, 36184, 94, 4385, 16, 359, 761, 359, 225, 69, 13623, 17, 406, 326, 225, 88, 76, 73, 14572, 341, 4385, 18, 4327, 2616, 5358, 393, 18, 13972, 28407, 4385, 326, 35910, 1697, 273, 11668, 203, 2489, 37283, 556, 18, 954, 3988, 316, 18, 21596, 1010, 4385, 326, 35910, 1697, 273, 743, 203, 2153, 41629, 10304, 326, 35910, 1697, 273, 11668, 203, 203, 26923, 203, 203, 25986, 87, 203, 25986, 346, 9506, 389, 477, 888, 299, 16, 3888, 11028, 396, 7675, 591, 16, 3486, 13, 203, 25986, 346, 18184, 6532, 286, 6532, 396, 7065, 3436, 16, 3486, 13, 203, 25986, 346, 4584, 332, 18, 13097, 16639, 396, 7552, 3008, 13, 203, 25986, 346, 4584, 21687, 1069, 16, 409, 4365, 3797, 396, 7552, 452, 16, 2730, 13, 203, 25986, 346, 4584, 21687, 1069, 16, 409, 4365, 3797, 396, 8324, 832, 16, 2730, 13, 203, 203, 1987, 203, 203, 3257, 2477, 203, 35910, 1697, 273, 743, 11301, 10361, 203, 12552, 281, 3445, 11301, 10361, 203, 203, 22157, 4686, 203, 6004, 717, 203, 23260, 17, 4387, 15118, 15869, 203, 4387, 15118, 15869, 203, 4387, 10565, 9425, 17000, 1131, 203, 4387, 15118, 3852, 203, 11385, 17651, 3049, 292, 23645, 290, 4860, 7692, 203, 23260, 17, 4387, 3852, 203, 23260, 17, 4387, 11457, 203, 33499, 423, 5511, 5894, 203, 24629, 1644, 3852, 203, 521, 1063, 35356, 717, 203, 2866, 334, 17, 4577, 4958, 17, 4387, 717, 203, 2866, 334, 17, 4577, 1644, 11457, 203, 825, 88, 76, 17, 4577, 4958, 17, 4387, 717, 2, 0, 58, 3070, 3166, 10179, 9069, 318, 225, 69, 23383, 1565, 16, 11826, 423, 225, 88, 76, 73, 4062, 2123, 1565, 603, 3070, 261, 18, 601, 783, 3188, 286, 30, 4327, 428, 270, 317, 603, 3070, 3166, 10179, 396, 3640, 10945, 873, 23383, 17, 20678, 20356, 7833, 1257, 28392, 2946, 203, 1900, 9987, 603, 3070, 3166, 10179, 16, 203, 428, 8909, 6775, 603, 3070, 3166, 10179, 16, 203, 603, 3070, 261, 603, 3070, 3166, 10179, 16, 23383, 13005, 203, 203, 3591, 568, 203, 58, 3070, 261, 24948, 203, 203, 45680, 35838, 2, 0, 47, 18, 395, 18, 556, 718, 26759, 396, 3640, 3843, 2427, 13499, 13, 318, 225, 88, 76, 73, 4136, 4138, 292, 7073, 396, 27556, 17, 10176, 9136, 34428, 13, 292, 225, 88, 76, 73, 1627, 292, 32708, 291 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 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 ]
[ 431, 1452, 12958, 290, 225, 88, 76, 73, 2274, 18, 557, 2855, 16, 30463, 2788, 35235, 633, 359, 689, 88, 76, 73, 1358, 891, 1346, 2592, 2995, 981, 780, 644, 2740, 225, 69, 1444, 17, 17455, 2353, 18, 9931, 633, 3141, 4796, 16, 291, 2730, 9317, 6792, 3599, 292, 409, 17404, 35235, 5721, 359, 689, 88, 76, 73, 3297, 4998, 1840, 909, 286, 1369, 225, 69, 8701, 291, 708, 286, 13660, 225, 69, 2269, 346, 1162, 292, 225, 88, 76, 73, 10094, 5556, 2995, 15041, 633, 359, 689, 69, 6693, 4214, 4514, 290, 1737, 504, 1303, 7555, 16, 2655, 720, 811, 225, 88, 76, 73, 4519, 292, 225, 69, 1346, 319, 1065, 75, 5909, 388, 2255, 962, 345, 28011, 760, 16024, 388, 5505, 3921, 2656, 13381, 16, 1452, 11342, 11855, 45411, 7806, 19352, 633, 689, 261, 26748, 1346, 2592, 6, 1966, 286, 633, 14447, 20547, 290, 836, 291, 573, 780, 7157, 3178, 225, 69, 1977, 1737, 290, 4881, 14346, 346, 1308, 10515, 423, 225, 69, 1514, 1250, 18, 2193, 1955, 633, 1502, 5437, 290, 2778, 286, 345, 292, 4770, 17, 13777, 6301, 37734, 35297, 478, 455, 9407, 16, 18789, 72, 471, 9174, 345, 596, 4774, 286, 2377, 1700, 292, 13026, 1476, 5200, 3314, 4911, 290, 5802, 5254, 524, 4762, 10551, 16, 15041, 633, 359, 689, 69, 11959, 1346, 4939, 345, 770, 225, 69, 4188, 1162, 3583, 581, 2656, 203, 203, 7315, 38172, 7944, 30932, 22913, 359, 554, 292, 633, 1179, 4371, 38703, 16, 2469, 1614, 633, 2637, 346, 3765, 633, 6118, 633, 884, 1657, 595, 18, 203, 203, 10220, 969, 203, 7315, 9616, 6200, 359, 225, 69, 689, 3673, 262, 16, 38799, 3259, 2656, 557, 2730, 16, 5721, 2483, 4502, 9036, 35449, 13362, 284, 16, 3198, 292, 3962, 290, 7203, 7145, 13362, 284, 18, 409, 2735, 3823, 519, 6595, 325, 2967, 2636, 2451, 18, 1108, 643, 4308, 291, 1920, 18, 5721, 318, 225, 69, 10906, 13543, 292, 3610, 290, 225, 88, 76, 73, 1851, 2198, 18, 203, 203, 28159, 203, 203, 26996, 6847, 203, 203, 46696, 5066, 203, 203, 28016, 203, 203, 1624, 1083, 3702, 203, 203, 1624, 5346, 3702, 203, 203, 22195, 10402, 203, 203, 7969, 2436, 272, 203, 203, 11780, 4520, 203, 203, 9824, 203, 203, 15603, 203, 203, 3591, 568, 203, 5174, 292, 1319, 17, 582, 4770, 8395, 396, 11871, 2198, 13, 203, 5174, 292, 3852, 596, 4872, 1319, 554, 325, 225, 88, 76, 73, 1727, 9963, 7690, 203, 203, 1987, 203, 203, 17802, 4686, 203, 2866, 334, 17, 4577, 5070, 14314, 203, 16745, 4770, 7956, 203, 16745, 29857, 286, 225, 88, 76, 73, 1851, 2198, 203, 16745, 1778, 1346, 14314, 203, 4387, 4770, 7956, 203, 4387, 1778, 1346, 14314, 203, 38, 11051, 12879, 3049, 292, 4107, 7692, 203, 5013, 11007, 383, 5526, 725, 3032, 1925, 203, 16745, 1778, 6693, 17, 16513, 18009, 203, 16745, 1778, 291, 6730, 1452, 203, 4387, 1778, 6693, 17, 16513, 18009, 203, 4387, 1778, 291, 6730, 1452, 203, 31819, 17, 13777, 7956, 203, 6004, 717, 203, 55, 8263, 423, 8258, 203, 2866, 334, 17, 4577, 5070, 1778, 14314, 203, 52, 7140, 263, 15869, 203, 38, 33492, 1778, 203, 38, 33492, 7956, 203, 34237, 14314, 423, 3610, 203, 4387, 6693, 17, 16513, 18009, 203, 2866, 334, 17, 4577, 12826, 717, 203, 2866, 334, 17, 4577, 1644, 1778, 203, 16745, 1421, 274, 7334, 203, 4387, 1421, 274, 7334, 2, 0, 54, 457, 6589, 318, 279, 32506, 1504, 2558, 1689, 528, 18, 55, 18, 12433, 17237, 291, 1773, 1021, 4448, 2307, 16, 12830, 16, 1851, 2198, 18, 15775, 6589, 318, 1136, 4638, 3620, 292, 1273, 9646, 10594, 290, 797, 4638, 3686, 292, 1773, 1021, 4448, 1509, 5504, 11012, 17237, 290, 318, 2558, 325, 225, 88, 76, 73, 2677, 577, 40983, 290, 12830, 5158, 18535, 18, 332, 1244, 2347, 8001, 811, 225, 88, 76, 73, 1565, 5180, 3409, 423, 23688, 286, 13698, 18, 203, 203, 19818, 982, 203, 24420, 378, 18, 7472, 16, 225, 69, 16653, 290, 225, 88, 76, 73, 13128, 5050, 4115, 292, 225, 88, 76, 73, 2090, 13886, 13713, 16, 385, 3157, 291, 15775, 6589, 18, 203, 203, 1987, 203, 203, 34467, 4100, 291, 1773, 1021, 4448, 2307, 16, 12830, 203, 34467, 4100, 291, 12830, 2, 0, 46, 18, 395, 18, 374, 816, 1473, 396, 2566, 2427, 18672, 696, 384, 2262, 5452, 13, 385, 225, 69, 3194, 456, 406, 15833, 896, 472, 596, 318, 16769, 346, 3690, 2176, 5539, 456, 406, 3893, 420, 568, 1712, 359, 1866, 6553, 607, 26833, 8904, 409, 1753, 743, 292, 4497, 374, 2982, 277, 17682, 427, 225, 69, 29169, 472, 16, 4497, 9906, 6556, 3942, 17825, 357, 423, 225, 88, 76, 73, 543, 7303, 1712, 48590, 666, 2296, 292, 48079, 282, 3222, 4497, 6853, 18, 203, 203, 1905, 798, 806, 478, 18, 54, 18, 59, 816, 598, 33961, 291, 225, 88, 76, 73, 3261, 16, 827, 458, 3909, 225, 88, 76, 73, 3049, 292, 19350, 4497, 43633, 16, 573, 6025, 798, 292, 225, 88, 76, 73, 3173, 2176, 5539, 14675, 38891, 1660, 16, 1315, 389, 36755, 1429, 40534, 290, 6092, 39429, 880, 16, 596, 5141, 225, 88, 76, 73, 8930, 28843, 4339, 396, 21380, 225, 88, 76, 73, 19350, 43633, 4339, 13, 291, 32047, 16, 10495, 16, 1851, 2198, 18, 225, 8930, 28843, 504, 7345, 5400, 4709, 290, 318, 915, 3249, 225, 88, 76, 73, 10495, 1495, 292, 11172, 983, 3308, 18, 203, 203, 59, 816, 1473, 385, 568, 4246, 326, 3300, 225, 88, 76, 73, 5029, 326, 11248, 12451, 43633, 396, 8239, 8774, 873, 2750, 291, 49759, 16, 4941, 18, 225, 738, 3559, 385, 5141, 359, 225, 88, 76, 73, 374, 816, 1473, 4339, 290, 385, 2558, 291, 9533, 15692, 16, 4941, 326, 798, 806, 16, 827, 374, 816, 1473, 290, 522, 3564, 5044, 18, 738, 3559, 385, 1928, 17, 7014, 290, 385, 3119, 431, 10448, 285, 1043, 94, 16136, 326, 1579, 806, 18, 557, 1708, 806, 16, 225, 88, 76, 73, 7682, 644, 12547, 286, 225, 88, 76, 73, 26833, 2003, 1204, 291, 27457, 16, 7715, 18, 5383, 16, 522, 3564, 16, 23763, 36094, 374, 816, 1473, 16, 11631, 325, 225, 88, 76, 73, 2176, 5539, 26833, 2322, 16, 2003, 290, 3576, 4326, 14675, 291, 3621, 780, 14189, 272, 18 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 2794, 17, 27967, 28449, 7805, 318, 4887, 1013, 286, 1702, 2929, 955, 359, 43775, 290, 361, 17532, 16, 290, 1952, 2884, 292, 5931, 8468, 18, 1783, 28449, 7805, 87, 1380, 4051, 225, 69, 4762, 14854, 292, 7805, 720, 1059, 1013, 291, 225, 88, 76, 73, 5999, 1950, 16, 290, 427, 629, 7805, 8436, 291, 225, 88, 76, 73, 1693, 526, 4017, 16, 7368, 225, 88, 76, 73, 14934, 22829, 4203, 346, 7805, 18, 203, 203, 4280, 1150, 3812, 424, 3598, 1375, 787, 10506, 7805, 8568, 291, 225, 69, 2608, 5132, 286, 28449, 7805, 18, 203, 203, 32424, 290, 23890, 203, 52, 6274, 7862, 292, 28449, 7805, 1706, 30, 203, 8088, 491, 4710, 696, 307, 8426, 27655, 7805, 1342, 659, 326, 2709, 12042, 290, 787, 292, 3169, 1563, 10443, 13516, 696, 786, 2401, 20280, 290, 7916, 12324, 286, 12324, 14019, 203, 2720, 6112, 9097, 696, 1432, 4199, 290, 7990, 5264, 203, 203, 52, 6274, 31858, 1706, 30, 203, 40426, 388, 6979, 286, 4659, 388, 661, 14523, 819, 3934, 388, 3878, 1563, 3685, 75, 40233, 290, 689, 87, 804, 779, 6, 292, 5415, 14624, 290, 609, 10653, 423, 16349, 23180, 1646, 203, 18927, 449, 359, 9661, 359, 9147, 7805, 203, 203, 10209, 6173, 203, 521, 4607, 7805, 2094, 292, 28449, 7805, 14800, 5386, 325, 225, 88, 76, 73, 8660, 290, 225, 88, 76, 73, 1604, 1398, 18, 28815, 203, 1926, 318, 629, 9132, 290, 16908, 658, 225, 88, 76, 73, 16375, 292, 1249, 225, 88, 76, 73, 3463, 689, 41688, 282, 7805, 6, 286, 7651, 279, 28812, 1693, 16, 573, 318, 1902, 225, 69, 10700, 334, 21259, 7805, 16, 5655, 291, 225, 88, 76, 73, 965, 23694, 1950, 18, 332, 24406, 4666, 18215, 14451, 6185, 225, 69, 1693, 689, 41688, 282, 7805, 6, 318, 689, 18219, 34150, 952, 357, 1071, 449, 2432, 709, 2792, 3263, 18, 601, 526, 225, 69, 12518, 16, 388, 225, 69, 43898, 34538, 388, 225, 69, 19956, 16, 517, 357, 526, 449, 7805, 2656, 203, 203, 829, 3008, 225, 88, 76, 73, 3690, 5143, 1078, 11137, 1574, 3179, 12855, 1583, 9527, 27, 30, 9786, 1866, 3805, 1016, 774, 38644, 1253, 774, 6662, 22022, 326, 225, 88, 76, 73, 7805, 4194, 11, 286, 2145, 13187, 581, 28449, 7805, 16, 3060, 286, 573, 225, 88, 76, 73, 5711, 2487, 292, 2723, 9, 291, 3137, 292, 3652, 7805, 318, 2318, 286, 787, 225, 88, 76, 73, 3463, 689, 41688, 282, 7805, 2656, 203, 203, 521, 1727, 7986, 10964, 5357, 18271, 3267, 225, 69, 8933, 292, 7805, 2765, 18, 409, 7986, 10964, 5357, 504, 928, 345, 689, 521, 7451, 18133, 1584, 4384, 20264, 587, 581, 225, 88, 76, 73, 7805, 2094, 291, 1646, 9204, 2625, 16, 10700, 334, 21259, 16, 388, 28449, 7805, 16, 290, 1627, 345, 955, 1646, 16, 650, 544, 1994, 286, 339, 959, 292, 7805, 16, 905, 339, 10261, 431, 225, 69, 23581, 359, 286, 225, 88, 76, 73, 8933, 292, 7805, 388, 609, 11120, 2094, 18, 409, 7451, 568, 1627, 345, 803, 11573, 25097, 905, 339, 2765, 291, 654, 1693, 5982, 345, 1380, 5523, 4384, 29248, 6387, 359, 286, 225, 88, 76, 73, 9203, 292, 225, 88, 76, 73, 1693, 1556, 203, 203, 1987, 203, 203, 3257, 2477, 1563, 14456, 282, 7805, 1482, 1357, 1530, 16, 22723, 19, 7236, 16, 2827, 3486, 203, 203, 3805, 1016, 7360, 203, 3805, 1016, 203, 6520, 37716, 203, 37325, 5451, 17, 7360, 2, 0, 56, 410, 79, 322, 16, 8172, 14070, 359, 39112, 480, 12022, 16, 318, 225, 69, 1830, 2558, 291, 225, 88, 76, 73, 7445, 641, 292, 3550, 1627, 292, 31919, 18, 39112, 79, 322, 318, 10002, 383, 225, 69, 5061, 292, 225, 18081, 292, 25383, 16, 225, 88, 76, 73, 1627, 4029, 1509, 20999, 8048, 290, 20999, 18337, 18, 601, 318, 225, 88, 76, 73, 11703, 292, 225, 88, 76, 73, 39112, 79, 322, 4521, 18, 601, 318, 2558, 383, 279, 19724, 292, 1188, 4665, 3059, 81, 396, 4219, 5858, 18, 25, 3059, 1211, 859, 203, 203, 56, 410, 79, 322, 10055, 3350, 526, 724, 24996, 1518, 2711, 16, 225, 69, 1512, 292, 225, 88, 76, 73, 9462, 292, 1518, 6309, 18, 409, 3350, 5680, 2409, 385, 31406, 431, 8517, 5604, 44053, 42512, 34147, 291, 2427, 2730, 18, 39112, 79, 322, 318, 568, 2765, 291, 225, 88, 76, 73, 9187, 19746, 9866, 1241, 290, 318, 2196, 225, 88, 76, 73, 2313, 3948, 5394, 286, 339, 3118, 291, 3350, 18, 4143, 3436, 2429, 2987, 16, 39112, 79, 322, 504, 652, 10016, 282, 225, 88, 76, 73, 4709, 292, 225, 69, 1830, 15369, 18, 203, 203, 49034, 203, 41, 702, 81, 15990, 16, 225, 88, 76, 73, 1565, 292, 225, 88, 76, 73, 1830, 318, 6951, 286, 427, 652, 6616, 532, 5449, 423, 689, 56, 410, 1270, 269, 281, 89, 6, 952, 292, 225, 88, 76, 73, 14793, 292, 31907, 1270, 10618, 628, 89, 16, 225, 69, 1671, 292, 8845, 16, 388, 225, 88, 3032, 405, 269, 281, 89, 952, 292, 225, 88, 76, 73, 9906, 5281, 18352, 8388, 225, 88, 3032, 405, 16, 345, 1380, 427, 652, 1013, 745, 1036, 18, 601, 318, 568, 1740, 11192, 20326, 20944, 29307, 396, 944, 292, 13548, 4811, 873, 1966, 286, 225, 88, 76, 73, 14793, 292, 13548, 4811, 291, 225, 88, 76, 73, 1389, 18, 203, 203, 6050, 1806, 1723, 345, 1154, 225, 88, 76, 73, 5686, 292, 418, 11200, 24870, 322, 385, 519, 4029, 18, 4143, 39112, 79, 322, 318, 383, 864, 17067, 225, 88, 76, 73, 15913, 1013, 286, 339, 660, 325, 654, 9951, 346, 10380, 7427, 396, 69, 1671, 292, 11897, 13, 290, 1013, 286, 744, 1986, 291, 1715, 292, 654, 19469, 16, 11175, 225, 88, 76, 73, 1565, 18, 409, 3550, 4574, 2151, 6339, 225, 88, 76, 73, 3472, 286, 8172, 44283, 225, 88, 76, 73, 39112, 79, 322, 290, 1519, 609, 5394, 291, 2485, 2730, 18, 409, 1830, 8172, 2154, 689, 56, 410, 480, 12022, 6, 325, 377, 2636, 2730, 18, 203, 203, 18438, 203, 56, 410, 79, 322, 318, 2558, 383, 1913, 601, 504, 279, 3661, 17067, 292, 1188, 2905, 3059, 6068, 465, 396, 4299, 10266, 3059, 36743, 859, 203, 521, 1830, 504, 225, 69, 9412, 3505, 325, 225, 88, 76 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 14840, 203, 4331, 18150, 396, 5584, 16, 3157, 7423, 873, 1644, 1782, 290, 3282, 17203, 290, 3857, 7063, 2, 0, 521, 6758, 7290, 7713, 318, 554, 292, 1220, 2347, 4700, 22085, 2060, 7098, 18728, 1509, 225, 88, 76, 73, 3446, 7283, 38693, 4195, 291, 3024, 7175, 16, 3470, 18, 409, 6947, 1814, 17, 16764, 16, 225, 1848, 16, 568, 1712, 359, 689, 521, 40903, 2995, 385, 1698, 291, 18168, 290, 3500, 291, 16566, 18, 203, 203, 6355, 203, 521, 1848, 3220, 359, 225, 88, 76, 73, 11703, 326, 225, 88, 76, 73, 6758, 7290, 18535, 819, 709, 1651, 423, 225, 88, 76, 73, 27396, 7713, 291, 16566, 16, 2769, 806, 819, 8077, 644, 3230, 698, 225, 88, 76, 73, 27396, 7713, 291, 20968, 18, 1456, 709, 9130, 16, 225, 88, 76, 73, 1848, 526, 724, 3602, 385, 11797, 286, 4783, 6337, 326, 225, 88, 76, 73, 7125, 6954, 225, 88, 76, 73, 7611, 22348, 396, 29081, 286, 9866, 3568, 873, 573, 385, 12307, 326, 6758, 7290, 18, 8077, 20281, 225, 88, 76, 73, 1361, 3602, 286, 225, 69, 17914, 16, 517, 12038, 10114, 1220, 754, 2769, 346, 1952, 7459, 18, 1078, 798, 806, 16, 225, 88, 76, 73, 1848, 385, 16782, 346, 225, 69, 1648, 1151, 1145, 4524, 5059, 282, 346, 225, 69, 43548, 689, 55, 9540, 52, 2656, 203, 203, 1266, 385, 1708, 11395, 698, 225, 88, 76, 73, 10687, 2060, 7098, 18728, 1750, 573, 2626, 46927, 12538, 290, 3011, 16262, 12538, 18, 2519, 7601, 16, 4532, 1343, 468, 5890, 2060, 7098, 18728, 18, 1790, 16, 4970, 7290, 18535, 385, 1146, 225, 88, 76, 73, 4372, 292, 2060, 7098, 3568, 1535, 225, 88, 76, 73, 1848, 385, 3168, 326, 225, 286, 409, 6330, 3348, 396, 7599, 43, 13, 291, 6890, 18, 24433, 43, 12285, 1378, 1175, 1791, 3059, 15846, 286, 37845, 225, 88, 76, 73, 2646, 16, 1315, 225, 69, 37693, 44618, 16, 9592, 548, 291, 6485, 18, 22660, 4778, 22706, 7779, 3168, 2060, 7098, 3568, 286, 409, 3260, 6609, 3348, 291, 2827, 3868, 16, 290, 3260, 6609, 16, 291, 2410, 16, 3168, 2060, 7098, 286, 11647, 15445, 291, 2262, 3868, 359, 641, 292, 225, 69, 1648, 1229, 4463, 11061, 18, 11647, 15445, 3168, 5699, 2333, 292, 2060, 7098, 18728, 286, 409, 33640, 3348, 291, 2382, 3868, 18, 2060, 7098, 18728, 385, 5890, 21787, 431, 11647, 15445, 396, 5932, 9, 1877, 13, 290, 409, 33640, 3348, 396, 7933, 9, 1877, 13, 1535, 11647, 15445, 3168, 709, 1877, 286, 3260, 6609, 5710, 9779, 9446, 291, 2730, 326, 1913, 203, 203, 11189, 203, 1989, 3500, 16, 2060, 7098, 3568, 385, 35235, 359, 225, 88, 76, 73, 30061, 5479, 17, 4724, 2531, 3834, 5696, 292, 225, 88, 76, 73, 12830, 18, 409, 1848, 318, 5812, 291, 225, 88, 76, 73, 1139, 292, 225, 88, 76, 73, 4029, 4964, 689, 41, 2995, 346, 225, 88, 76, 73, 13128, 1752, 16, 225, 941, 16, 1509, 7098, 3568, 18, 409, 11713, 325, 46927, 290, 3011, 16262, 26184, 371, 1040, 225, 941, 16, 290, 225, 88, 76, 73, 4574, 5167, 318, 12038, 431, 39932, 18, 601, 318, 2389, 291, 225, 88, 76, 73, 5224, 19571, 2296, 346, 2840, 12328, 291, 5250, 10767, 290, 1311, 1428, 271, 17979, 18, 409, 15882, 385, 12020, 346, 7715, 305, 2031, 16880, 5786, 290, 279, 34302, 22160, 10946, 18, 203, 203, 5733, 225, 88, 76, 73, 6890, 1180, 4271, 35958, 16, 797, 292, 225, 88, 76, 73, 3815, 2536, 11708, 39932, 643, 15410, 290, 1402, 17, 10045, 2875, 20596, 271, 10634, 643, 5515, 291, 225, 88, 76, 73, 609, 2701, 41650, 16, 2681, 325, 225, 88, 76, 73, 2536, 3796, 24522, 18, 409, 39932, 644, 2524, 225, 69, 1864, 19608, 291, 13698, 16, 650, 20596, 11023, 643, 15410, 431, 9735, 5185, 18, 203, 203, 19315, 203, 203, 15720, 5841, 1251, 203, 28968, 7290, 203, 14987, 17283, 19122, 203, 23174, 6351, 18, 1633, 203, 203, 16583, 5841, 1251, 203, 21974, 29138, 203, 13165, 203, 203, 3591, 568, 4327, 3024, 7175, 526, 30061, 4700, 203, 203, 1987, 24405, 203, 20898, 4700, 3500, 291, 16566, 203, 18456, 13539, 291, 3024, 7175, 203, 26357, 3568, 396, 13917, 7175, 13, 203, 12658, 30080, 31591, 2347, 4700, 291, 3024, 7175, 203, 4403, 818, 290, 39387, 2659, 4700, 203, 28968, 7290, 18535, 2, 0, 14211, 25120, 528, 17, 26, 6181, 385, 225, 69, 10512, 17218, 2846, 528, 17, 16970, 2387, 326, 18573, 4681, 526, 556, 5876, 8405, 19148, 326, 1310, 1154, 2107, 2446, 3299, 18, 203, 4290, 385, 8154, 968, 325, 3275, 2427, 13918, 431, 10848, 6565, 954, 603, 1441, 16, 22347, 359, 8313, 1319, 1025, 1537, 16, 5292, 325, 1136, 2262, 13525, 290, 12681, 325, 1025, 2429, 13525, 811, 24892, 296, 327, 48957, 2303, 322, 5750, 11905, 17, 43, 5011, 82, 436, 2306, 38063, 18, 203, 203, 11189, 203, 14211, 10512, 17218, 2846, 36101, 643, 21458, 431, 225, 88, 76, 73, 11564, 10512, 26913, 38, 36101, 18, 528, 17, 26, 6181, 644, 225, 69, 28600, 292, 225, 650, 383, 225, 88, 76, 73, 4017, 290, 225, 1027, 33646, 18, 1236, 644, 225, 69, 2914, 4980, 292, 2836, 225, 69, 3946, 21753, 4980, 292, 2836, 225, 69, 16541, 292, 2836, 225, 69, 6481, 292, 2836, 290, 225, 69, 1061, 3359, 292, 1913, 409, 25120, 385, 11492, 431, 797, 3911, 77, 560, 262, 1211, 393, 6427, 1560, 17, 26355, 16, 2701, 17, 33900, 2739, 17790, 16203, 8707, 7368, 225, 69, 2914, 292, 225, 326, 787, 1027, 34924, 16, 797, 9817, 421, 43, 528, 38, 34659, 19, 28, 4452, 17, 14361, 4180, 18171, 7368, 225, 69, 2914, 292, 225, 326, 787, 1027, 33646, 18, 1236, 644, 797, 41650, 290, 797, 225, 5466, 13254, 18, 409, 5499, 385, 6824, 292, 5237, 383, 21706, 292, 527, 286, 1913, 203, 203, 521, 25120, 644, 225, 69, 5530, 4017, 3554, 292, 225, 290, 225, 69, 5530, 33646, 3554, 292, 1913, 1605, 33646, 16, 225, 88, 76, 73, 5499, 882, 6691, 326, 225, 383, 8604, 650, 34924, 16, 780, 882, 2321, 225, 383, 1913, 528, 17, 26, 6181, 385, 12020, 346, 2176, 225, 34974, 17697, 396, 18838, 12020, 383, 225, 88, 76, 73, 4587, 290, 554, 383, 225, 88, 76, 73, 27246, 873, 22677, 28926, 2931, 16, 554, 225 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 203, 12, 29, 916, 13, 1188, 7836, 17, 1758, 1758, 203, 7412, 203, 26658, 3932, 775, 290, 7390, 5494, 203, 3541, 429, 17, 21, 203, 829, 4823, 6771, 17, 21, 203, 28237, 17, 21, 203, 23, 1759, 1662, 7501, 203, 10875, 23457, 203, 6604, 203, 16218, 203, 13812, 1867, 2, 0, 1371, 313, 352, 264, 225, 69, 1240, 932, 1536, 286, 14044, 2216, 286, 2147, 4471, 16, 225, 69, 1056, 1191, 968, 424, 339, 225, 69, 18076, 18, 2864, 664, 6546, 380, 696, 691, 554, 1056, 14052, 16, 398, 2178, 5185, 424, 499, 968, 18, 203, 4139, 383, 23043, 343, 8729, 16, 408, 1545, 442, 18, 707, 688, 345, 1240, 290, 5188, 3251, 424, 352, 88, 4039, 1248, 940, 23372, 18, 828, 659, 479, 25217, 292, 398, 2216, 13160, 5307, 286, 2410, 225, 88, 76, 73, 2181, 292, 11285, 313, 1937, 290, 5435, 18, 707, 352, 264, 225, 69, 1240, 932, 16, 1248, 18, 707, 688, 760, 1308, 909, 6403, 18, 1366, 408, 1182, 4659, 1382, 326, 4093, 760, 6747, 292, 225, 88, 76, 73, 11788, 1752, 292, 398, 932, 18, 707, 10159, 286, 548, 9935, 290, 5860, 1440, 286, 427, 398, 932, 527, 290, 2681, 8636, 290, 2678, 18, 203, 2598, 23043, 343, 8729, 16, 408, 1182, 4659, 1382, 16, 1315, 30, 203, 27331, 14260, 203, 48693, 366, 371, 16363, 286, 8614, 968, 18, 601, 352, 87, 715, 708, 1228, 548, 18, 996, 313, 352, 264, 225, 69, 1648, 932, 16, 313, 352, 635, 2613, 427, 279, 4530, 4932, 286, 723, 313, 3473, 654, 290, 479, 292, 803, 2148, 18, 996, 313, 352, 264, 225, 69, 5188, 932, 16, 857, 313, 659, 286, 942, 225, 69, 3361, 4659, 7908, 345, 424, 723, 313, 623, 527, 290, 2681, 2678, 18, 1666, 352, 87, 670, 408, 502, 383, 23043, 343, 8729, 18, 203, 988, 1182, 4129, 3361, 4659, 1382, 16, 1315, 30, 203, 58, 4460, 8354, 203, 32049, 277, 20976, 9366, 203, 49806, 2148, 203, 14626, 3025, 292, 2371, 203, 19064, 3873, 2579, 203, 11129, 5243, 2148, 203, 1102, 2702, 543, 5, 203, 47025, 350, 290, 5606, 11282, 203, 47025, 1039, 290, 14056, 4760, 4284, 352, 88, 541, 2204, 286, 917, 527, 18, 1108, 352, 264, 874, 543, 2298, 286, 3473, 1912, 544, 894, 31448, 277, 18, 1456, 23043, 343, 8729, 16, 408, 15485, 291, 17031, 654, 290, 479, 19195, 290, 30368, 2148, 291, 279, 4199, 5713, 18, 707, 352, 635, 42544, 654, 30368, 290, 19195, 2148, 981, 4396, 225, 88, 76, 73, 1497, 3125, 326, 398, 1240, 932, 18, 203, 27331, 19, 38798, 21766, 203, 4000, 408, 1182, 1682, 3361, 4659, 1382, 16, 798, 1240, 3251, 1185, 5743, 2148, 16, 1248, 18, 996, 398, 5743, 318, 31448, 277, 388, 3177, 968, 16, 398, 932, 1825, 352, 88, 339, 1316, 286, 6691, 423, 225, 69, 11788, 28816, 18, 828, 352, 635, 659, 286, 3473, 225, 88, 76, 73, 5743, 981, 2425, 2935, 424, 339, 2498, 1028, 292, 18, 707, 1545, 225, 88, 76, 73, 25984, 292, 1792, 225, 69, 5743, 6503, 2678, 18, 996, 313, 352, 264, 1597, 2148, 346, 398, 5743, 16, 623, 291, 2718, 16, 290, 408, 352, 635, 8658, 554, 292, 531, 5743, 10056, 658, 286, 623, 1228, 527, 290, 2681, 2678, 18, 203, 34434, 9434, 203, 25578, 16, 408, 352, 635, 659, 286, 8588, 6323, 6236, 286, 3473, 398, 3361, 388, 5743, 2148, 18, 4121, 8740, 1496, 16, 408, 499, 698, 398, 1056, 290, 942, 225, 88, 76, 73, 11751, 2148, 18, 3273, 408, 3473, 624, 326, 313, 1342, 1801, 1597, 286, 499, 325, 17, 7952, 18, 203, 13134, 16801, 203, 29360, 1415, 318, 2365, 225, 88, 76, 73, 12690, 650, 225, 69, 3361, 388, 1056, 3177, 968, 18, 1238, 352, 87, 568, 225, 69, 4337, 292, 12429, 2848, 286, 1425, 18, 1911, 554, 4042, 286, 2101, 346, 14095, 1415, 290, 23937, 18, 1456, 23043, 343, 8729, 16, 408, 1545, 442, 290, 548, 31586, 286, 6596, 654, 290, 479, 2970, 1415, 225, 69, 1240, 932, 783, 32042, 18, 203, 2860, 4803, 34876, 203, 5270, 2812, 203, 21062, 596, 318, 1536, 326, 225, 69, 616, 13854, 17, 77, 82, 17, 582, 4443, 1968, 4314, 25329, 23043, 4478, 318, 398, 27971, 18, 203, 988, 5923, 225, 88, 76, 73, 10869, 524, 292, 4530, 5, 203, 16218, 203, 27331, 14260, 203, 19064, 3873, 290, 10117, 13307, 203, 13732, 5871, 3392, 203, 2860, 6953, 203, 22049, 694, 7532, 396, 4221, 13, 203, 5637, 2812, 203, 45455, 3115, 1077, 16, 21855, 203, 6140, 30, 1025, 1996, 17, 4946, 28, 17, 6755, 5932, 203, 37932, 30, 1260, 7764, 18, 28, 6011, 18, 6731, 7298, 203, 13466, 30, 203, 13664, 22346, 2616, 774, 999, 31403, 431, 5413, 335, 6718, 999, 1558, 9712, 26181, 999, 35587, 431, 9883, 203, 7995, 24094, 203, 21235, 3858, 1547, 203, 31371, 1773, 2, 0, 3804, 312, 11501, 1185, 517, 2910, 291, 3081, 18, 2689, 3219, 290, 19425, 18, 18236, 2448, 16, 949, 225, 88, 76, 73, 3597, 290, 499, 7594, 313, 26944, 13544, 357, 18, 19413, 30, 3329, 6670, 16, 877, 9001, 16, 891, 2762, 18, 3246, 30, 786, 312, 11501, 16, 2618, 27491, 16, 2110, 326, 2539, 18, 203, 17826, 10836, 40200, 422, 3888, 14584, 11075, 203, 14584, 331, 1811, 203, 13812, 42067, 203, 7977, 546, 18504, 203, 32554, 13150, 411, 6343, 603, 546, 18, 409, 910, 3955, 2762, 4502, 346, 6840, 13150, 411, 6343, 603, 546, 325, 1174, 3330, 422, 18, 4351, 18, 2090, 413, 13883, 18, 18556, 291, 411, 8107, 17187, 16, 411, 8107, 17187, 18, 411, 6343, 603, 546, 318, 225, 69, 864, 1284, 4750, 13150, 290, 318, 591, 806, 1840, 18, 1832, 7942, 3690, 3218, 459, 28634, 1140, 313, 18, 411, 6343, 603, 546, 318, 225, 69, 13150, 2448, 4818, 326, 398, 1015, 18, 738, 13150, 318, 48911, 18, 13278, 30, 5635, 22201, 30, 4995, 316, 907, 30, 28831, 18, 411, 6343, 603, 546, 318, 225, 69, 2069, 18118, 13150, 326, 2839, 290, 10241, 290, 459, 1875, 1189, 698, 398, 969, 18, 5051, 13150, 411, 6343, 603, 546, 1428, 603, 546, 291, 411, 8107, 17187, 18, 828, 424, 1976, 13150, 411, 6343, 603, 546, 431, 46246, 16, 2478, 529, 16, 6874, 1014, 18, 411, 6343, 603, 546, 2221 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 69, 1240, 290, 12444, 24730, 3752, 326, 2625, 1863, 3264, 2, 0, 1266, 6955, 87, 595, 286, 41574, 5, 557, 6955, 54, 766, 2208, 33072, 5, 6955, 33377, 459, 787, 3162, 28750, 290, 1816, 7670, 286, 2200, 17871, 286, 6462, 325, 519, 9278, 18, 5794, 225, 88, 76, 73, 17871, 290, 23722, 9278, 2443, 225, 69, 12306, 3921, 290, 1816, 16, 5048, 6746, 290, 1928, 17, 1160, 366, 10811, 286, 3527, 46117, 290, 1508, 225, 88, 76, 73, 1189, 18, 557, 6955, 50, 13449, 33072, 5, 6955, 33377, 459, 3711, 28749, 16, 4834, 16, 8085, 70, 5833, 16, 290, 543, 16, 857, 1128, 225, 88, 76, 73, 3825, 1319, 15033, 325, 519, 2928, 16, 1848, 1119, 15543, 290, 1319, 7670, 2548, 18, 557, 1040, 1305, 16, 225, 88, 76, 73, 724, 2946, 286, 2200, 1560, 2890, 325, 519, 2928, 8335, 5, 3844, 803, 5650, 23722, 1823, 346, 527, 286, 1025, 717, 18, 10390, 832, 290, 527, 459, 1246, 24673, 2208, 290, 15543, 519, 836, 286, 19780, 4172, 83, 6955, 5, 203, 15767, 13507, 203, 15603, 30, 203, 45388, 2721, 30, 15360, 1878, 22, 2419, 24, 6011, 203, 44181, 30, 9551, 3873, 203, 39098, 12245, 30, 203, 37890, 30, 203, 42304, 712, 9765, 30, 203, 37, 2186, 30, 774, 203, 10630, 203, 38483, 29513, 225, 88, 774, 1175, 17, 2455, 18, 4271, 203, 8611, 19523, 7673, 10712, 36877, 47457, 389, 45333, 203, 10630, 203, 17040, 6648, 203, 4867, 1943, 398, 3949, 40133, 34507, 18, 203, 19223, 4986, 10712, 36877, 47457, 203, 10630, 203, 17040, 225, 2, 0, 32389, 3722, 30, 225, 203, 12873, 11979, 30, 557, 1374, 286, 1449, 524, 8889, 9686, 291, 398, 1950, 16, 313, 659, 286, 1369, 2094, 325, 398, 1622, 345, 318, 9703, 286, 398, 1297, 16, 290, 1075, 29911, 715, 6883, 624, 18, 203, 15944, 2332, 47641, 30, 4851, 5177, 813, 286, 6567, 346, 398, 932, 754, 14649, 4914, 286, 2797, 18, 2193, 303, 624, 286, 623, 2912, 431, 21871, 10199, 754, 398, 1622, 18, 203, 11296, 2386, 30, 332, 2535, 318, 225, 69, 9072, 69, 1950, 18, 203, 11274, 5739, 23331, 30, 5049, 2155, 504, 3842, 10199, 286, 6567, 346, 5343, 543, 720, 1801, 981, 18, 29125, 1496, 286, 1059, 7515, 318, 225, 69, 891, 1408, 286, 654, 1622, 946, 18, 203, 19959, 4343, 8583, 203, 47661, 3058, 10535, 225, 88, 76, 73, 5675, 16, 9730, 16, 6368, 16, 3084, 290, 563, 69, 4650, 18, 203, 7346, 16, 544, 1369, 313, 346, 479, 225, 88, 76, 73, 2991, 3046, 286, 45499, 345, 23075, 2094, 18, 1605, 14531, 670, 21571, 313, 905, 787, 16, 531, 962, 292, 2825, 4672, 723, 313, 942, 225, 88, 76, 73, 1054, 3125, 1653, 325, 225, 88, 76, 73, 2190, 1551, 292, 398, 1250, 18, 4313, 21571, 424, 339, 1402, 2389, 290, 11331, 286, 398, 3201, 1551, 290, 8647, 18, 203, 14777, 203, 41, 11052, 9599, 3722, 203, 36134, 8761, 15553, 30, 10905, 2798, 225, 88, 76, 73, 8441, 286, 2247, 326, 225, 88, 76, 73, 1646, 345, 544, 371, 3357, 291, 18, 996, 225, 88, 76, 73, 2247, 2237, 8407, 2241, 16, 345, 459, 723, 313, 3289, 543, 431, 7909, 4539, 286, 1059, 1883, 1646, 388, 8069, 18, 203, 8678, 10709, 30, 5549, 277, 2798, 3305, 1646, 345, 10885, 388, 371, 2608, 286, 225, 88, 76, 73, 1693, 2111, 544, 371, 10450, 318, 225, 69, 891, 836, 286, 2688, 398, 4183, 1695, 18, 7447, 442, 2181, 292, 2443, 424, 5397, 2798, 286, 3449, 543, 595, 290, 1621, 325, 398, 1622, 18, 203, 15767, 4408, 13526, 30, 1558, 16174, 398, 2798, 286, 13819, 519, 27428, 1185, 325, 398, 1622, 431, 3267, 624, 225, 88, 76, 73, 2955, 286, 7245, 754, 398, 6298, 4503, 1653, 269, 30076, 5613, 2840, 581, 1040, 292, 398, 1646, 291, 225, 69, 1965, 16, 25061, 16, 5713, 18, 996, 225, 69, 2605, 2968, 942, 479, 225, 88, 76, 73, 1693, 1216, 544, 371, 1536, 326, 18, 203, 30899, 16141, 30, 601, 318, 3437, 326, 654, 3141, 27428, 1637, 286, 3307, 1249, 225, 69, 2013, 388, 5299, 3270, 326, 6477, 18, 15866, 2024, 459, 813, 1046, 6477, 34684, 16, 629, 813, 519, 1646, 286, 7553, 3856, 290, 1761, 371, 3778, 346, 6317, 1490, 326, 16313, 6477, 18, 203, 28038, 47731, 30, 6753, 277, 225, 88, 76, 73, 2243, 6341, 4401, 4756, 326, 798, 2024, 424, 339, 225, 69, 823, 13976, 2780, 18, 46419, 519, 19759, 431, 449, 770, 18936, 225, 69, 4401, 13712, 2111, 16, 517, 568, 431, 7909, 624, 279, 2368, 26655, 16456, 292, 519, 4401, 18, 203, 14777, 203, 27796, 437, 9599, 3722, 203, 54, 14972, 2720, 557, 9273, 30, 38012, 2720, 557, 9273, 15114, 437, 946, 318, 225, 88, 76, 73, 8188, 2724, 650, 357, 1822, 286, 1482, 398, 1622, 1119, 3494, 4710, 290, 2247, 2396, 4710, 18, 1605, 357, 1822, 286, 6867, 16, 225, 69, 13671, 1622, 424, 8269, 723, 398, 9532, 290, 744, 357, 3717, 286, 3734, 423, 3549, 526, 1866, 29409, 724, 9052, 11, 2295, 18, 2519, 3047, 225, 69, 1622, 18357, 326, 479, 3025, 6827, 16, 313, 744, 357, 3717, 326, 2247, 8707, 286, 1545, 290, 3665, 398, 2094, 18, 203, 45684, 323, 23097, 43256, 30, 9663, 2343, 8306, 318, 3496, 383, 279, 3895, 5670, 3270, 345, 8382, 11109, 2516, 18, 332, 1622, 345, 318, 449, 13671, 326, 3494, 4089, 882, 8595, 2362, 524, 325, 225, 69, 1171, 292, 932, 3379, 18, 1867, 1968, 13671, 5115, 2611, 7177, 2241, 326, 11065, 16, 12191, 16, 290, 3494, 2798, 18, 15114, 437, 2343, 946, 9135, 345, 760, 3041, 1185, 318, 279, 3281, 554, 18, 203, 17784, 2808, 557, 4903, 1009, 6959, 30, 15114, 437, 1622, 946, 424, 1582, 940, 543, 6357, 291, 1750, 595, 290, 1432, 18, 409, 13671, 1622, 1750, 2295, 7963, 313, 286, 14504, 398, 1344, 932, 326, 479, 4089, 346, 225, 69, 2013, 946, 18, 8864, 442, 2295, 16, 313, 2164, 5981, 286, 3449, 595, 290, 3169, 1848, 225, 69, 5008, 3494, 1637, 18, 203, 17572, 2964, 332, 7816, 2846, 3535, 6668, 8774, 35, 203, 59, 3191, 203, 26105, 3722, 203, 26105, 13490, 203, 26105, 27858, 203, 22, 5788, 1298, 203, 5637, 2812, 203, 23824, 203, 8, 3456, 19, 8820, 203, 12224, 3722, 7447 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 42115, 4314, 573, 408, 502, 449, 427, 291, 2764, 16, 1303, 819, 225, 88, 76, 73, 35538, 11219, 31, 616, 317, 11599, 550, 318, 225, 69, 3463, 8224, 1119, 616, 3252, 17, 1109, 290, 616, 13263, 17, 1109, 6269, 18, 203, 2628, 279, 513, 11599, 318, 225, 69, 1816, 573, 6180, 443, 225, 88, 76, 73, 19246, 388, 30774, 388, 7107, 11701, 2168, 1133, 1228, 18, 557, 2764, 408, 427, 291, 16, 325, 16, 754, 16, 431, 16, 290, 541, 325, 18, 1078, 616, 3252, 11599, 4314, 8091, 504, 414, 5468, 94, 1138, 303, 1392, 826, 3241, 669, 352, 573, 1767, 225, 69, 1171, 292, 2925, 359, 225, 88, 76, 73, 1816, 318, 449, 770, 616, 826, 17, 3241, 4314, 517, 568, 18521, 286, 827, 2824, 371, 1353, 291, 519, 19246, 16, 38624, 16, 388, 7107, 11701, 1959, 18, 14785, 504, 326, 16902, 356, 1392, 826, 16902, 368, 7336, 573, 314, 352, 81, 449, 541, 10536, 325, 18, 314, 352, 81, 449, 2313, 9, 2675, 16, 517, 314, 1156, 9041, 5431, 318, 225, 69, 877, 5190, 286, 616, 317, 11599, 4314, 541, 616, 3252, 11599, 550, 290, 616, 13263, 11599, 550, 9450, 1620, 4801, 3241, 5431, 290, 1979, 3241, 5431, 18, 314, 568, 2365, 664, 4801, 3241, 669, 290, 1979, 3241, 669, 18, 203, 47600, 3130, 1570, 524, 3578, 573, 909, 554, 318, 4244, 581, 18, 557, 1474, 2764, 408, 427, 616, 441, 4314, 616, 801, 4314, 616, 344, 4314, 290, 616, 1057, 3291, 1366, 16, 544, 1570, 524, 1228, 18, 616, 15192, 524, 550, 318, 225, 69, 7926, 287, 274, 24779, 31, 225, 88, 76, 73, 499, 17, 23475, 35538, 16, 345, 318, 225, 69, 909, 573, 2697, 1334, 524, 16, 703, 2459, 339, 1570, 17, 447, 388, 524, 43806, 350, 18, 1366, 2459, 363, 1350, 29160, 5431, 388, 3685, 43806, 350, 18, 203, 52, 606, 2224, 371, 8068, 22837, 292, 2824, 291, 225, 69, 42539, 10496, 18, 6143, 1756, 8003, 35, 3911, 504, 3537, 415, 445, 1828, 1392, 9301, 2615, 19036, 16, 2410, 292, 6579, 352, 290, 5871, 94, 1392, 3700, 6364, 23946, 19036, 35, 23946, 3700, 35, 203, 45, 4865, 352, 88, 1303, 527, 346, 11456, 326, 798, 1816, 43092, 16, 359, 313, 424, 821, 18, 1218, 345, 2747, 352, 88, 715, 952, 314, 3900, 225, 88, 76, 73, 11346, 286, 1303, 527, 346, 5648, 2824, 18, 1238, 318, 225, 69, 1361, 16, 543, 5972, 2157, 18, 1666, 318, 16, 798, 292, 225, 88, 76, 73, 2824, 371, 2655, 4443, 396, 81, 12216, 604, 73, 35, 12591, 433, 10014, 12063, 290, 4477, 371, 3785, 225, 88, 76, 73, 8991, 292, 442, 1244, 31, 314, 352, 635, 29510, 624, 1708, 18, 203, 43865, 2407, 732, 203, 63, 25139, 377, 65, 314, 2466, 616, 3150, 282, 5431, 550, 385, 5758, 7262, 431, 225, 88, 76, 73, 982, 596, 14587, 442, 2535, 30, 203, 4696, 442, 30, 203, 6885, 286, 1877, 325, 5491, 396, 7131, 675, 291, 631, 4566, 13, 203, 6885, 286, 1877, 325, 3814, 396, 7131, 675, 291, 631, 4566, 13, 203, 6885, 286, 1877, 325, 26820, 396, 7131, 675, 291, 631, 4566, 13, 203, 6885, 286, 1877, 325, 20246, 396, 7131, 675, 291, 631, 4566, 13, 203, 6885, 286, 1145, 284, 1910, 203, 7552, 1910, 203, 7675, 1910, 203, 8324, 1920, 203, 8209, 1920, 203, 7751, 1920, 203, 7800, 1920, 203, 7077, 1920, 203, 4644, 1920, 203, 7065, 1920, 203, 6974, 1920, 203, 8079, 1920, 203, 7675, 1920, 203, 8324, 2153, 203, 7552, 2286, 203, 4644, 2286, 203, 7065, 2286, 203, 6974, 2286, 203, 8079, 2286, 203, 7322, 2451, 203, 7077, 2451, 203, 4644, 2451, 203, 7065, 2451, 203, 6974, 2451, 203, 8079, 2451, 203, 7675, 2451, 203, 8324, 2489, 203, 8209, 2489, 203, 7751, 2489, 203, 7800, 2489, 203, 7552, 2489, 203, 7322, 2489, 203, 7077, 2489, 203, 4644, 2489, 203, 7065, 2489, 203, 6974, 2489, 203, 8079, 2489, 203, 7675, 2489, 203, 8324, 2616, 203, 8209, 2616, 203, 7751, 2616, 203, 7552, 2616, 203, 7322, 2616, 203, 7077, 2616, 2, 0, 6580, 16, 2636, 318, 325, 709, 836, 774, 290, 357, 3093, 449, 1248, 1856, 1576, 326, 4040, 26918, 18, 1666, 318, 1656, 314, 2463, 959, 527, 551, 1763, 286, 4283, 527, 551, 2535, 326, 225, 88, 76, 73, 5560, 774, 1902, 314, 1850, 1427, 8585, 292, 551, 1367, 2535, 2680, 10400, 203, 2628, 357, 526, 13980, 291, 225, 69, 631, 18980, 836, 1249, 225, 88, 76, 73, 4131, 290, 7696, 292, 551, 631, 415, 334, 2111, 7257, 774, 357, 526, 1740, 16131, 17, 37, 17, 60, 3484, 16, 2389, 291, 41798, 1047, 2296, 396, 2256, 3297, 3707, 13, 290, 459, 2843, 225, 88, 76, 73, 2803, 291, 2636, 18, 2, 0, 45, 427, 3055, 291, 225, 88, 76, 73, 1843, 345, 554, 905, 3637, 346, 654, 10910, 780, 24206, 286, 787, 326, 2271, 17, 36239, 18, 557, 18342, 442, 16, 225, 88, 76, 73, 770, 11131, 314, 427, 1801, 4977, 5890, 326, 2271, 17, 36239, 388, 5523, 504, 652, 30620, 87, 16, 1597, 644, 629, 2003, 16, 4794, 16055, 16, 291, 1249, 624, 18, 314, 427, 4126, 29654, 16, 517, 449, 1364, 551, 4957, 18, 314, 644, 1411, 4126, 225, 69, 26344, 981, 1172, 4178, 609, 720, 279, 3062, 17085, 18, 6766, 602, 314, 2891, 345, 3384, 703, 339, 225, 88, 76, 73, 602, 314, 3736, 6025, 291, 11131, 16, 1427, 1317, 346, 30620, 87, 517, 568, 1427, 6025, 291, 1761, 18, 7268, 7422, 87, 643, 724, 16, 449, 770, 952, 544, 643, 225, 88, 76, 73, 2070, 5375, 517, 952, 314, 813, 286, 3637, 383, 332, 13177, 1974, 290, 442, 602, 345, 318, 479, 544, 371, 4009, 18, 203, 45, 7208, 16, 2375, 16, 286, 949, 279, 428, 5258, 17315, 363, 11414, 1284, 291, 20999, 724, 16, 2655, 720, 332, 13177, 1974, 352, 87, 17315, 363, 11414, 16, 2454, 952, 314, 2421, 286, 502, 541, 346, 551, 17039, 18, 314, 502, 449, 813, 286, 427, 225, 69, 4960, 291, 225, 88, 76, 73, 1577, 345, 458, 1071, 449, 688, 16, 458, 783, 761, 659, 357, 286, 9410, 3544, 326, 1027, 442, 2535, 1380, 1635, 325, 1778, 352, 87, 2271, 17, 36239, 16, 1673, 371, 7284, 17, 18937 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 76, 73, 319, 885, 533, 18, 203, 2091, 225, 88, 76, 73, 2592, 3136, 1752, 629, 292, 225, 88, 76, 73, 9775, 345, 643, 959, 286, 1496, 225, 88, 76, 73, 754, 21753, 25118, 643, 8575, 282, 527, 18, 1009, 442, 595, 797, 20115, 28839, 643, 43076, 383, 2592, 3136, 290, 2603, 1752, 383, 225, 88, 76, 73, 785, 292, 225, 88, 76, 73, 2913, 286, 1234, 6494, 40840, 286, 2348, 524, 292, 345, 6582, 330, 1803, 291, 225, 88, 76, 73, 1174, 292, 225, 88, 76, 73, 21753, 18, 8549, 371, 4737, 1054, 698, 225, 88, 76, 73, 17714, 14254, 13325, 225, 88, 76, 73, 1257, 945, 18, 3728, 479, 39733, 17554, 225, 88, 76, 73, 2218, 2913, 427, 915, 427, 652, 6096, 431, 631, 39733, 346, 12771, 5479, 20115, 45952, 18, 7015, 16, 225, 88, 76, 73, 4476, 48144, 383, 225, 88, 76, 73, 785, 292, 225, 88, 76, 73, 2913, 3579, 1427, 660, 940, 17, 24392, 27303, 359, 761, 18, 203, 521, 1848, 292, 225, 88, 76, 73, 1402, 15080, 2030, 19767, 504, 449, 34728, 16, 517, 770, 644, 629, 5475, 3360, 291, 5227, 292, 225, 88, 76, 73, 2304, 5692, 18, 1558, 225, 88, 76, 73, 2318, 7113, 371, 915, 17554, 16, 541, 10541, 543, 325, 442, 3508, 291, 225, 88, 76, 73, 1358, 1244, 18, 203, 3113, 325, 2636, 3843, 16, 2451, 2209, 832, 16, 2079, 203, 16720, 225, 69, 1402, 15080, 2770, 2593, 225, 69, 7083, 16970, 30, 5146, 377, 696, 46960, 587, 203, 1200, 1843, 1302, 20867, 643, 959, 326, 1848, 225, 69, 631, 15080, 2770, 2593, 225, 88, 76, 73, 5499, 18, 1238, 504, 1230, 652, 225, 69, 1388, 7756, 1803, 12046, 225, 88, 76, 73, 4123, 5033, 345, 504, 652, 1406, 286, 2124, 1801, 1364, 225, 88, 76, 73, 14622, 643, 3230, 660, 18, 409, 15080, 2770, 459, 339, 4265, 291, 345, 7756, 1803, 290, 459, 339, 6178, 423, 225, 88, 76, 73, 1174, 18, 4536, 291, 442, 1715, 660, 1142, 385, 786, 609, 2724, 16, 357, 1902, 1230, 225, 69, 877, 2251, 286, 427, 225, 88, 76, 73, 15080, 4140, 383, 225, 88, 76, 73, 1174, 18, 738, 836, 225, 88, 76, 73, 3063, 1593, 2593, 225, 88, 76, 73, 2770, 459, 449, 2377, 524, 650, 313, 1227, 225, 88, 76, 73, 3210, 18, 409, 1095, 318, 286, 935, 4356, 225, 88, 76, 73, 15080, 346, 225, 69, 5711, 292, 1136, 11766, 15415, 286, 2314, 2688, 225, 88, 76, 73, 6357, 292, 225, 88, 76, 73, 15080, 2770, 18, 557, 629, 3152, 874, 543, 15415, 459, 339, 1013, 16, 2276, 291, 225, 88, 76, 73, 1240, 1803, 827, 225, 88, 76, 73, 18682, 3512, 459, 339, 18, 203, 2428, 24411, 326, 225, 88, 76, 73, 16848, 16179, 292, 15415, 660, 459, 659, 286, 339, 225, 69, 1171, 292, 7756, 1803, 1349, 13325, 225, 88, 76, 73, 4123, 5033, 18, 1238, 561, 479, 571, 24392, 42687, 290, 23675, 643, 5674, 290, 629, 940, 17, 24392, 4677, 290, 4067, 385, 1772, 286, 5173, 442, 1803, 326, 225, 88, 76, 73, 11945, 292, 225, 88, 76, 73, 631, 15080, 2770, 18, 203, 521, 9775, 345, 643, 959, 286, 1496, 629, 292, 225, 88, 76, 73, 25118, 345, 499, 754, 225, 88, 76, 73, 21753, 292, 225, 88, 76, 73, 5499, 643, 568, 4595, 706, 1001, 18, 7015, 629, 292, 225, 88, 76, 73, 28003, 36943, 21317, 385, 1731, 582, 915, 345, 1059, 2994, 643, 1709, 286, 1496, 18, 203, 521, 11399, 4411, 1013, 286, 3063, 225, 88, 76, 73, 15080, 2770, 459, 339, 225, 88, 76, 73, 1498, 931, 81, 40665, 21, 8519, 57, 10426, 17, 52, 26624, 4894, 17, 26102, 282, 49762, 4229, 573, 318, 554, 292, 225, 88, 76, 73, 745, 4199, 2557, 524, 660, 16, 1027, 568, 961, 1689, 11865, 396, 1325, 18065, 4881, 859, 1591, 442, 1056, 225, 88, 76, 73, 4831, 1257, 17, 24943, 282, 2680, 10323, 19, 5544, 10588, 7308, 29086, 225, 88, 76, 73, 1593, 17, 24943, 282, 7475, 29969, 290, 11399, 4881, 345, 3944, 2557, 787, 18, 409, 754, 17, 76, 993, 10323, 292, 225, 88, 76, 73, 4123, 9602, 385, 6096, 346, 442, 1403, 10323, 1172, 1285, 650, 225, 88, 76, 73, 5499, 385, 325, 225, 88, 76, 73, 1406, 396, 447, 292, 225, 88, 76, 73, 1257, 859, 203, 3987, 931, 81, 40665, 21, 8519, 57, 10426, 17, 52, 26624, 4894, 17, 26102, 282, 49762, 4229, 203, 521, 1848, 292, 225, 88, 76, 73, 4607, 15080, 2770, 459, 1085, 291, 279, 6612, 1244, 18, 26945, 857, 16, 3492, 10846, 290, 1737, 18057, 1102, 203, 21292, 8226, 203, 21235, 377, 8820, 384, 8820, 685, 7219, 2111, 203, 4867, 2819, 442, 1962, 7756, 203, 27786, 1810, 4986, 11104, 17715, 203, 20466, 16, 12447, 290, 3457, 581, 2354, 17554, 290, 14445, 1060, 225, 88, 76, 73, 1004, 203, 11525, 3014, 203, 7995, 203, 10954, 203, 10954, 203, 12588, 10800, 377, 696, 24304, 319, 885, 533, 203, 12588, 10800, 384, 696, 1043, 13388, 225, 88, 76, 73, 1179, 9134, 203, 12588, 10800, 685, 696, 409, 288, 4054, 203, 12588, 10800, 832, 696, 409, 2396, 203, 12588, 10800, 848, 696, 19823, 277, 225, 88, 76, 73, 646, 480, 7711, 203, 12588, 10800, 1025, 696, 4168, 1240, 8053, 587, 203, 12588, 10800, 1148, 696, 8133, 19, 2710, 7781, 2557, 203, 55, 10484, 8275, 17554, 319, 885, 533, 203, 33934, 17554, 319, 885, 533, 203, 5962, 1189, 3794, 203, 16672, 12337, 203, 55, 10484, 41503, 291, 1920, 203, 2428, 603, 487, 11465, 290, 785, 203, 4664, 3329, 17823, 8378, 423, 1172, 602, 203, 19421, 628, 779, 225, 88, 76, 73, 7190, 203, 46489, 14445, 8275, 2779, 2286, 203, 48274, 203, 8209, 1920, 203, 7800, 2153, 203, 7552, 2153, 203, 8324, 2286, 203, 7751, 2286, 203, 7800, 2286, 203, 7552, 2286, 203, 7077, 2286, 203, 4644, 2286, 203, 7065, 2286, 203, 6974, 2286, 203, 8079, 2286, 203, 7675, 2286, 203, 8324, 626, 9786, 203, 7552, 3008, 203, 7322, 3008, 203, 3462, 19128, 388, 1249, 654, 2111, 325, 409, 55, 885, 533, 18, 9794, 16, 313, 5536, 345, 313, 427, 987, 16, 8982, 16, 290, 459, 31216, 431, 225, 88, 76, 73, 30, 12825, 23581, 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 ]
[ 17438, 2347, 203, 15796, 30158, 13101, 282, 1175, 29964, 18, 23, 2372, 291, 225, 88, 76, 73, 1851, 2198, 290, 3522, 16, 290, 1175, 45192, 18, 29, 2372, 291, 609, 17707, 16, 326, 225, 69, 6622, 2914, 292, 1175, 4665, 21, 18, 22, 2372, 16, 1584, 225, 69, 2551, 3738, 292, 1175, 1791, 2372, 18, 203, 203, 829, 225, 88, 76, 73, 1851, 2198, 290, 3522, 16, 225, 88, 76, 73, 1782, 385, 2740, 6300, 40802, 44860, 45619, 290, 409, 1583, 30, 2419, 286, 5438, 16, 290, 385, 17606, 286, 13101, 1060, 1175, 2455, 2372, 423, 685, 16, 27, 3021, 21875, 291, 709, 4140, 4178, 16, 346, 629, 13708, 359, 864, 359, 1175, 3021, 2372, 18, 601, 4810, 527, 1482, 1175, 3021, 2372, 658, 225, 88, 76, 73, 4178, 16, 8743, 1361, 383, 225, 88, 76, 73, 2770, 2347, 2578, 40802, 44860, 11480, 5831, 18, 28, 2372, 859, 409, 1782, 7434, 1872, 9, 291, 709, 1361, 4178, 286, 1175, 2419, 18, 25, 2372, 11480, 3859, 18, 24, 2372, 658, 225, 88, 76, 73, 1560, 17, 887, 6330, 14310, 2938, 8402, 18, 4178, 873, 8743, 1361, 2578, 36377, 3260, 19169, 18, 203, 203, 829, 225, 88, 76, 73, 3261, 16, 5409, 30158, 2154, 225, 88, 76, 73, 4609, 1201, 1782, 292, 2286, 16, 658, 1999, 17702, 284, 526, 38115, 346, 1175, 7055, 18, 23, 2372, 18, 18571, 886, 423, 609, 5819, 1706, 3671, 11480, 4299, 18, 25, 2372, 873, 3610, 11480, 825, 18, 22, 2372, 873, 4409, 11480, 1996, 18, 23, 2372, 13, 290, 4681, 11480, 1996, 18, 21, 2372, 859, 203, 203, 6604, 2155, 203, 521, 1782, 385, 2740, 431, 14347, 16152, 4023, 10988, 325, 2825, 5866, 325, 2355, 452, 16, 2286, 18, 332, 18329, 17, 4470, 16, 10406, 290, 832, 47, 19070, 9223, 3938, 325, 1589, 377, 16, 2286, 18, 409, 18329, 17, 4470, 2709, 2134, 1706, 689, 1759, 512, 2097, 21359, 17, 45090, 9963, 11003, 6, 396, 69, 4770, 17, 23475, 286, 225, 88, 76, 73, 1963, 689, 45, 33172, 828, 18696, 689, 15796, 30158, 30, 351, 18067, 4961, 291, 225, 88, 76, 73, 12897, 6, 396, 69, 4266, 17, 10291, 2578, 17, 88, 76, 73, 17, 33189, 1787, 873, 290, 689, 11368, 404, 2749, 3546, 8278, 6, 396, 69, 7448, 17, 49364, 8398, 325, 5409, 526, 3240, 1517, 11902, 859, 557, 225, 88, 76, 73, 1851, 2198, 16, 225, 69, 5510, 8150, 11504, 18329, 17, 4470, 954, 10406, 385, 2740, 359, 225, 69, 17178, 7460, 346, 225, 69, 4935, 1041, 6650, 225, 69, 31177, 17, 10291, 2443, 88, 476, 9706, 689, 7872, 2097, 9852, 8150, 2656, 203, 203, 20689, 203, 203, 26400, 3918, 203, 2091, 43250, 38603, 16, 225, 88, 76, 73, 1782, 504, 279, 8569, 6825, 292, 225, 1653, 325, 225, 4911, 290, 279, 3661, 6825, 292, 1913, 409, 1622, 526, 4293, 18242, 13485, 16, 689, 15796, 30158, 6255, 1397, 33876, 18768, 526, 4908, 4190, 346, 5321, 2202, 225, 45041, 2241, 345, 905, 4262, 6711, 11349, 1027, 41517, 38528, 225, 88, 76, 73, 42725, 292, 2360, 1131, 1556, 1507, 48896, 39105, 16, 225, 88, 76, 73, 1782, 504, 225, 69, 3954, 292, 13683, 524, 292, 2313, 1653, 325, 3538, 12958, 16, 16805, 689, 44787, 388, 3661, 4911, 2656, 6506, 4942, 1115, 1047, 431, 20416, 39589, 3269, 225, 88, 76, 73, 1782, 279, 3661, 6445, 292, 689, 37, 25909, 6, 325, 279, 332, 15, 286, 393, 5259, 18, 203, 203, 20765, 323, 15584, 383, 8918, 3269, 225, 88, 76, 73, 1782, 685, 524, 292, 848, 6222, 16, 37866, 225, 88, 76, 73, 689, 87, 638, 445, 333, 6, 11982, 290, 33115, 32199, 526, 2358, 16, 1155, 458, 3110, 345, 19879, 270, 644, 652, 21732, 506, 18, 5075, 12114, 560, 30501, 383, 10988, 18301, 3269, 225, 88, 76, 73, 1782, 225, 69, 1866, 38, 11, 6445, 16, 3902, 357, 385, 689, 4348, 336, 16, 290, 7931, 16, 290, 7505, 359, 2823, 359, 225, 69, 1197, 373, 325, 225, 69, 5481, 280, 2918, 2995, 16550, 709, 7639, 346, 225, 88, 76, 73, 3481, 1863, 18, 32655, 1351, 2417, 383, 409, 10061, 30447, 3269, 357, 384, 524, 292, 848, 6222, 16, 37866, 225, 88, 76, 73, 689, 495, 25270, 4452, 838, 6, 292, 33115, 32199, 290, 35807, 517, 17230, 225, 88, 76, 73, 1782, 6789, 23805, 1596, 286, 38647, 8415, 290, 6474, 1694, 225, 88, 76, 73, 2449, 4432, 292, 5409, 30158, 18, 13585, 374, 34196, 94, 42601, 1069, 325, 13769, 41, 2867, 18, 1633, 3269, 357, 384, 524, 292, 832, 6222, 16, 29264, 345, 5409, 689, 2336, 272, 423, 1862, 1596, 45595, 8842, 286, 10254, 1675, 6673, 472, 2656, 203, 203, 8323, 556, 1739, 1639, 385, 4293, 292, 225, 88, 76, 73, 1782, 2653, 779, 3020, 346, 225, 88, 76, 73, 2929, 16, 3902, 16, 689, 1371, 313, 2463, 987, 225, 88, 76, 73, 2929, 313, 459, 339, 592, 6510, 2670, 290, 4856, 16, 689, 45, 1033, 691, 313, 424, 987, 313, 2164, 2648, 286, 339, 592, 6510, 1556, 3988, 19879, 270, 526, 3223, 16, 24906, 16, 23728, 581, 225, 88, 76, 73, 2072, 290, 225, 88, 76, 73, 7535, 292, 522, 3198, 359, 689, 495, 446, 6518, 34090, 2656, 203, 203, 3286, 49801, 203, 829, 225, 88, 76, 73, 724, 1302, 819, 225, 88, 76, 73, 1782, 526, 3216, 16, 3074, 291, 3080, 3317, 18951, 357, 326, 689, 446, 13816, 24429, 6, 290, 1740, 326, 279, 30611, 423, 14347, 18, 409, 29547, 4632, 325, 225, 69, 4573, 827, 5442, 43620, 16, 596, 318, 1712, 286, 339, 23439, 286, 2532, 13338, 16, 318, 15661, 728, 346, 624, 1535, 554, 3931, 291, 522, 5465, 16, 7485, 950, 286, 3979, 279, 23439, 8401, 12569, 225, 88, 76, 73, 787, 292, 522, 7263, 546, 270, 18, 557, 3918, 16, 14347, 3179, 225, 69, 5212, 3902, 16, 689, 988, 28242, 13544, 449, 961, 543, 3293, 290, 8320, 286, 442, 2809, 16, 290, 408, 3736, 24407, 2656, 557, 522, 2072, 16, 32655, 1351, 2417, 928, 16, 37616, 285, 318, 225, 69, 16957, 4573, 696, 449, 952, 19060, 371, 13763, 1300, 30720, 545, 16, 517, 952, 357, 1767, 5409, 279, 4578, 790, 9598, 1596, 20601, 3142, 292, 548, 1556, 203, 203, 4849, 28723, 203, 203, 4899, 38484, 203, 203 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 73, 2, 0, 521, 1104, 7402, 15622, 33885, 286, 443, 5204, 664, 225, 69, 489, 570, 529, 724, 517, 357, 1071, 225, 69, 1171, 292, 1228, 1317, 720, 313, 703, 1033, 1361, 18, 601, 352, 87, 1427, 225, 69, 1171, 1191, 325, 346, 225, 88, 76, 73, 271, 6970, 5437, 18, 601, 352, 87, 5299, 286, 41749, 664, 745, 9278, 517, 857, 504, 15265, 11056, 2453, 225, 88, 76, 73, 2928, 18, 601, 352, 87, 225, 69, 10599, 8708, 517, 357, 352, 87, 823, 18767, 325, 4993, 18, 601, 2743, 225, 88, 76, 73, 2928, 286, 427, 543, 292, 225, 69, 761, 17, 26349, 2711, 4439, 290, 1146, 339, 225, 69, 29628, 650, 357, 1822, 286, 489, 570, 4172, 18, 203, 23447, 5239, 677, 30, 48007, 877, 286, 1819, 4993, 346, 770, 225, 69, 1162, 1406, 18188, 18, 203, 54, 7936, 30, 3988, 396, 22922, 1260, 16, 848, 352, 1537, 550, 39734, 17, 42847, 27754, 873, 5857, 1571, 396, 22922, 1814, 16, 848, 352, 2288, 550, 18574, 27754, 13, 203, 38, 15574, 30, 23918, 47833, 16, 41441, 38124, 40785, 16, 203, 38, 695, 805, 30, 4970, 4803, 2510, 346, 962, 18744, 20106, 396, 40309, 286, 225, 88, 76, 73, 1976, 517, 346, 27323, 20106, 873, 23918, 23617, 2, 0, 40, 20570, 915, 7465, 286, 225, 88, 76, 73, 4573, 1490, 720, 225, 69, 1285, 1708, 346, 225, 88, 76, 73, 3216, 292, 522, 616, 34561, 3685, 31656, 550, 2353, 18, 409, 724, 797, 8396, 1143, 2, 0, 428, 880, 395, 18, 30030, 1010, 1507, 2011, 3498, 16, 2079, 203, 4696, 203, 521, 33728, 2483, 346, 225, 88, 76, 73, 724, 22445, 292, 409, 25220, 20034, 285, 18, 601, 987, 30, 616, 4647, 44530, 10053, 42111, 20038, 3535, 32597, 4647, 696, 9687, 8793, 10362, 286, 8989, 709, 1136, 12176, 326, 6632, 15079, 291, 1920, 5028, 696, 37411, 1076, 203, 521, 22445, 385, 8548, 325, 5491, 50055, 4488, 16, 225, 69, 9550, 6944, 326, 9049, 292, 8850, 18, 4488, 1608, 596, 385, 24815, 431, 2677, 3296, 11196, 6819, 16, 504, 543, 720, 2313, 16, 1318, 5491, 9855, 16, 290, 504, 14526, 35566, 581, 225, 88, 76, 73, 1920, 5028, 1608, 3972, 291, 633, 16024, 16, 616, 39085, 905, 339, 1358, 5128, 203, 39085, 9550, 4771, 7238, 16943, 556, 11733, 13211, 16, 596, 504, 543, 720, 1946, 28, 16, 1318, 5491, 9855, 16, 857, 39630, 4488, 352, 87, 16024, 290, 2657, 423, 8850, 30, 616, 988, 905, 427, 652, 225, 88, 76, 73, 724, 5128, 203, 1989, 409, 25220, 20034, 285, 6267, 709, 2983, 325, 5855, 16, 357, 3716, 225, 88, 76, 73, 22445, 286, 744, 225, 69, 41723, 2731, 18, 409, 17592, 22445, 928, 225, 88, 76, 73, 616, 44530, 10053, 42111, 20038, 3535, 32597, 550, 385, 345, 225, 88, 76, 73, 9687, 13713, 644, 11307, 286, 616, 37211, 2540, 550, 225, 69, 18709, 24760, 286, 8989, 225, 88, 76, 73, 1627, 1443, 1110, 18, 203, 3018, 225, 88, 76, 73, 41723, 35806, 385, 568, 3660, 18, 203, 74, 3358, 724, 30, 409, 25220, 17143, 352, 87, 6000, 643, 3190, 32411, 18, 409, 9687, 2361, 8793, 979, 449, 6158, 286, 8989, 709, 1920, 1443, 1110, 290, 979, 449, 6158, 286, 1290, 225, 69, 8014, 286, 8989, 1059, 1443, 1110, 18, 557, 2066, 16, 225, 88, 76, 73, 10336, 979, 449, 6158, 325, 442, 8014, 383, 479, 18, 13839, 16, 225, 88, 76, 73, 8014, 504, 652, 7035, 286, 279, 10336, 7057, 16, 827, 660, 318, 279, 10513, 17206, 345, 357, 459, 6574, 18, 409, 9550, 12143, 292, 225, 88, 76, 73, 7057, 16, 596, 318, 568, 225, 88, 76, 73, 4889, 4467, 292, 225, 88, 76, 73, 13729, 16, 8636, 1723, 357, 318, 45679, 18, 1238, 318, 786, 3497, 836, 326, 9687, 388, 654, 609, 1627, 286, 8989, 709, 1920, 19348, 3559, 291, 2079, 18, 203, 4139, 352, 87, 670, 1902, 4527, 5855, 383, 225, 88, 76, 73, 9687, 17487, 18, 203, 37, 9550, 2260, 292, 225, 88, 76, 73, 10336, 16, 2361, 2000, 18, 25042, 7902, 88, 24050, 16, 4650, 225, 69, 616, 47651, 550, 8014, 291, 2507, 292, 616, 9145, 3746, 815, 550, 225, 88, 76, 73, 1627, 352, 87, 1136, 15079, 19348, 10362, 16, 573, 225, 88, 76, 73, 8014, 45034, 6000, 371, 616, 74, 44337, 18191, 1076, 409, 857, 17, 1373, 6288, 12143, 16, 980, 35130, 399, 9550, 18479, 16559, 2429, 16, 385, 1779, 286, 3188, 225, 88, 76, 73, 8014, 286, 225, 88, 76, 73, 13729, 352, 87, 16347, 5143, 696, 952, 18061, 286, 225, 88, 76, 73, 7057, 318, 225, 69, 2505, 1788, 16, 3060, 286, 225, 88, 76, 73, 10336, 4105, 561, 616, 47651, 550, 21510, 345, 225, 88, 76, 73, 10336, 1071, 449, 949, 527, 3856, 18, 203, 4011, 352, 87, 357, 18, 203, 19825, 578, 286, 225, 88, 76, 73, 2695, 292, 225, 88, 76, 73, 17592, 25220, 20034, 285, 2983, 16, 357, 318, 449, 2792, 345, 225, 88, 76, 73, 8793, 11307, 616, 367, 15424, 3773, 431, 10205, 6158, 550, 286, 616, 2510, 3338, 550, 7902, 88, 24050, 352, 87, 8014, 18, 557, 2066, 16, 225, 88, 76, 73, 823, 1787, 9581, 345, 25220, 20034, 285, 14542, 291, 225, 88, 76, 73, 2983, 290, 10224, 291, 225, 88, 76, 73, 22445, 18849, 442, 2731, 286, 339, 10008, 18, 203, 521, 1787, 2719, 345, 7902, 88, 24050, 4974, 225, 88, 76, 73, 5028, 8014, 9805, 981, 225, 69, 6158, 325, 225, 69, 3190, 4885, 1690, 18, 1979, 2429, 7035, 225, 88, 76, 73, 8014, 286, 225, 88, 76, 73, 16347, 5143, 16, 225, 88, 76, 73, 8793, 20446, 346, 225, 88, 76, 73, 4885, 6158, 18, 738, 4885, 6158, 318, 225, 88, 76, 73, 6158, 4350, 291, 225, 88, 76, 73, 1787, 5381, 431, 409, 25220, 20034, 285, 18, 409, 5028, 8014, 3020, 385, 449, 11307, 325, 18, 203, 521, 11458, 25220, 20034, 285, 1806, 35437, 1344, 225, 88, 76, 73, 1150, 927, 1727, 10529, 13080, 4138, 12964, 30409, 2705, 22525, 345, 5620, 33044, 643, 16438, 23278, 308, 19348, 3559, 16956, 291, 573, 6819, 17837, 3285, 6819, 225, 69, 6651, 423, 3984, 458, 644, 1902, 2970, 18, 9687, 385, 554, 292, 4266, 3984, 326, 573, 225 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 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 ]
[ 5558, 291, 5697, 326, 225, 69, 18755, 26151, 18, 203, 203, 23317, 203, 29979, 21360, 526, 4060, 504, 652, 11601, 292, 15525, 18, 557, 3486, 16, 819, 225, 88, 76, 73, 528, 18, 55, 18, 25710, 291, 2570, 4981, 11929, 345, 857, 14864, 292, 225, 88, 76, 73, 2090, 7073, 16, 42206, 12596, 299, 1985, 42481, 4392, 16, 644, 616, 3759, 522, 1420, 1143, 273, 403, 483, 88, 16, 41758, 1621, 290, 2646, 16, 10535, 2219, 22793, 16, 290, 1327, 21496, 17498, 1584, 24200, 12850, 1395, 225, 88, 76, 73, 528, 18, 55, 18, 2361, 3625, 45387, 528, 18, 55, 18, 225, 88, 76, 73, 4854, 34576, 292, 42481, 4392, 290, 522, 1201, 18, 1783, 10037, 24200, 2580, 2483, 981, 42481, 4392, 385, 3249, 14864, 16, 290, 528, 18, 55, 18, 7655, 6951, 345, 2811, 20154, 385, 3293, 292, 624, 650, 458, 6568, 42481, 4392, 286, 345, 2067, 18, 409, 723, 42481, 4392, 3269, 286, 2219, 19319, 36248, 385, 6951, 286, 427, 10815, 21128, 290, 27544, 286, 1943, 225, 88, 76, 73, 528, 18, 55, 18, 10067, 42481, 4392, 526, 5163, 810, 385, 225, 69, 4060, 6715, 16, 8759, 43631, 7010, 4599, 16, 5334, 458, 9899, 286, 970, 225, 69, 8970, 458, 5890, 18, 7010, 4599, 385, 9859, 291, 3868, 326, 403, 40341, 517, 42481, 4392, 4642, 286, 1209, 950, 291, 2347, 18, 5458, 609, 4060, 7106, 16, 23730, 395, 2583, 20811, 719, 290, 22722, 25789, 5762, 30214, 16, 643, 1100, 286, 339, 2912, 291, 46657, 15582, 16, 4794, 4497, 16, 698, 225, 88, 76, 73, 528, 18, 55, 18, 42481, 4392, 16, 596, 385, 568, 225, 69, 641, 292, 442, 49652, 16, 6488, 1059, 7106, 16, 1248, 18, 203, 203, 8893, 5153, 203, 29979, 21360, 526, 16086, 1056, 504, 652, 18951, 431, 225, 88, 76, 73, 3729, 15416, 2811, 9136, 19685, 359, 3067, 24200, 16, 2276, 650, 31915, 2655, 720, 34832, 16, 290, 19126, 7243, 371, 2078, 18, 203, 203, 11348, 1382, 203, 6005, 286, 225, 88, 76, 73, 3729, 15416, 2811, 9136, 19685, 16, 225, 88, 76, 73, 1502, 1382, 5072, 24154, 423, 1864, 15525, 16, 7473, 431, 21134, 18022, 290, 41983, 7243, 18, 3917, 72, 675, 450, 7384, 290, 33769, 38926, 37662, 18, 203, 203, 11348, 20880, 203, 29979, 21360, 526, 1502, 20880, 5072, 318, 568, 11601, 292, 15525, 16, 346, 225, 69, 864, 1398, 292, 2507, 31189, 290, 5591, 10399, 16, 290, 346, 5006, 1541, 961, 41023, 19126, 323, 286, 4737, 2076, 290, 3197, 16, 3060, 286, 225, 69, 1891, 431, 225, 88, 76, 73, 3729, 15416, 2811, 9136, 19685, 18, 203, 203, 521, 1864, 3051, 1502, 17, 2510, 17320, 1715, 1154, 225, 88, 76, 73, 2811, 20154, 806, 2912, 225, 88, 76, 73, 39568, 292, 2151, 9804, 3100, 1175, 2455, 27, 2372, 286, 2811, 20154, 526, 3845, 25263, 989, 18, 203, 203, 9937, 3169, 5072, 203, 521, 2401, 3169, 5072, 22113, 7560, 225, 69, 2655, 864, 2972, 292, 10118, 3754, 18, 409, 5082, 3611, 7452, 16, 573, 744, 527, 543, 720, 2333, 292, 22973, 526, 20147, 16, 427, 652, 15147, 431, 225, 69, 3900, 292, 13900, 291, 2672, 286, 1621, 290, 5443, 2707, 1415, 18, 203, 203, 37, 2262, 2489, 1891, 10974, 345, 22973, 526, 2151, 17, 11868, 2508, 3709, 16, 35489, 320, 21360, 16, 385, 225, 88, 76, 73, 3313, 292, 616, 69, 17678, 3354, 292, 15525, 550, 8505, 616, 20752, 14604, 16, 3960, 4063, 16, 290, 2151, 6861, 1395, 596, 643, 35225, 2939, 754, 10118, 616, 10391, 5376, 550, 325, 2508, 961, 13226, 286, 35489, 18713, 291, 5697, 326, 7388, 290, 3410, 18, 616, 521, 3671, 17, 29979, 21360, 4630, 7665, 1395, 6246, 225, 88, 76, 73, 1891, 16, 616, 15735, 2267, 225, 69, 5306, 292, 15525, 325, 479, 5941, 1076, 203, 203, 14323, 342, 203, 29979, 21360, 526, 2666, 1056, 424, 14847, 744, 357, 2298, 286, 502, 932, 291, 225, 88, 76, 73, 1868, 18, 409, 1056, 504, 652, 3285, 571, 33036, 13944, 16, 225, 88, 76, 73, 2666, 5249, 1626, 5980, 16, 798, 2076, 48064, 8916, 16, 290, 15081, 8916, 318, 29710, 595, 17, 22151, 18, 203, 203, 28908, 3993, 203, 6910, 22973, 261, 1690, 16367, 2646, 3993, 16, 291, 2651, 544, 371, 1541, 571, 32799, 16, 290, 225, 88, 76, 73, 2151, 318, 10037, 286, 26818, 4620, 46636, 388, 2763, 1574, 286, 3946, 2076, 18, 203, 203, 50, 10260, 87, 203, 10468, 20154, 504, 652, 11601, 292, 6322, 286, 2688, 522, 1420, 658, 7231, 290, 2818, 30663, 18, 731, 8412, 225, 88, 76, 73, 6678, 526, 7704, 658, 624, 291, 225, 69, 3008, 12561, 3658, 16, 290, 9805, 12534, 1013, 522, 631, 7704, 286, 889, 303, 1958, 5193, 30663, 423, 225, 88, 76, 73, 1868, 18, 203, 203, 18384, 203, 829, 2730, 16, 225, 88, 76, 73, 4803, 10682, 1505, 292, 6131, 290, 14001, 396, 12189, 15451, 16032, 13, 7392, 2684, 291, 225, 69, 17000, 291, 3006, 834, 1237, 538, 45692, 2151, 15525, 16, 290, 35115, 225, 88, 76, 73, 8450, 359, 761, 18, 203, 203, 40182, 371, 4001, 286, 3307, 7798, 346, 9867, 2155, 326, 4969, 292, 2151, 1026, 6446, 886, 18, 203, 203, 10106, 203, 10468, 9136, 504, 652, 4001, 359, 225, 69, 1864, 2163, 326, 3251, 9638, 291, 22973, 18, 409, 1502, 1382, 290, 20880, 10153, 371, 15147, 431, 23394, 15525, 16, 346, 21134, 18022, 290, 616, 25211, 11660, 7243, 550, 961, 13434, 16, 3060, 286, 225, 88, 76, 73, 3729, 15416, 2811, 9136, 19685, 18, 203, 203, 5270, 225, 69, 2630, 292, 22973, 261, 2076, 371, 449, 6581, 16, 290, 4722, 6691, 2573, 12011, 7823, 16, 573, 27789, 775, 15525, 18, 203, 203, 16991, 702, 15525, 203, 829, 2489, 16, 30781, 363, 2481, 295, 682, 3972, 291, 528, 18, 55, 18, 3888, 345, 1240, 17, 10413, 15525, 318, 13434, 291, 22973, 18, 616, 45, 2463, 652, 1700, 17, 354, 10123, 291, 22973, 12746, 292, 1631, 658, 225, 88, 76, 73, 806, 1395, 780, 3972, 18, 616, 7957, 595, 16, 225, 88, 76, 73, 3660, 1626, 385, 39815, 6846, 359, 279, 5069, 9665, 16, 517, 225, 88, 76, 73, 9665, 504, 1411, 652, 291, 551, 2507, 18, 1507, 225, 88, 76, 73, 609, 1032, 16, 291, 32516, 16, 13733, 290, 17557 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 291, 225, 69, 2065, 17, 77, 82, 15749, 16, 517, 359, 225, 88, 76, 73, 3208, 11166, 16, 4476, 26004, 783, 339, 3046, 18, 203, 22, 18, 48276, 21776, 203, 7565, 346, 1491, 10322, 2076, 16, 673, 17, 13250, 3064, 16, 388, 1204, 7440, 290, 4770, 10901, 18, 3728, 16, 691, 398, 4822, 2221, 4770, 12954, 2453, 225, 88, 76, 73, 2779, 16, 544, 783, 339, 3357, 291, 1249, 624, 359, 761, 18, 203, 23, 18, 27200, 21776, 203, 1543, 424, 1934, 22355, 292, 1619, 388, 313, 424, 1934, 554, 292, 1579, 15015, 549, 13254, 18, 5750, 531, 1241, 292, 15015, 549, 13254, 1036, 18, 42644, 549, 13254, 371, 664, 654, 782, 19665, 2803, 291, 345, 544, 949, 225, 69, 8933, 292, 225, 88, 76, 73, 3289, 2543, 18, 18927, 16, 544, 3289, 2930, 991, 388, 1402, 17839, 18, 3791, 3366, 7405, 286, 3289, 225, 88, 76, 73, 17839, 290, 1353, 225, 88, 76, 73, 1621, 2986, 17839, 326, 225, 88, 76, 73, 6612, 602, 18, 2, 0, 3113, 2519, 30, 6814, 86, 51, 1669, 9028, 10586, 16, 3570, 16, 16534, 2519, 454, 16, 5242, 10586, 16, 28398, 225, 88, 76, 73, 28957, 16, 3332, 34455, 16, 3332, 34455, 60, 16, 5134, 291, 28957, 16, 5134, 291, 28957, 10772, 16, 5134, 291, 28957, 10772, 16544, 346, 20227, 16534, 2519, 454, 543, 18, 2060, 292, 1059, 1778, 16, 596, 385, 1671, 1796, 286, 3466, 531, 2257, 16, 385, 5103, 16534, 2519, 454, 18, 38257, 821, 670, 780, 928, 581, 961, 225, 69, 616, 46051, 291, 28957, 44894, 203, 17, 18071, 30, 1605, 979, 313, 724, 1620, 225, 69, 10586, 4881, 35, 203, 17, 30743, 30, 314, 352, 315, 652, 225, 69, 4881, 292, 10586, 290, 479, 1228, 10586, 12665, 1364, 314, 385, 225, 69, 5467, 18, 314, 427, 294, 42831, 6465, 16, 225, 69, 3891, 4889, 292, 3282, 8457, 664, 39992, 225, 88, 76, 73, 11427, 454, 323, 9289, 16, 4739, 83, 352, 87, 10060, 4277, 16, 290, 543, 7141, 225, 69, 7590, 1695, 1133, 21829, 472, 12700, 326, 2845, 290, 629, 28332, 5001, 8819, 290, 3762, 18, 203, 17, 18071, 30, 8928, 660, 225, 69, 1883, 2780, 650, 313, 6854, 345, 313, 2421, 286, 499, 423, 961, 225, 69, 4881, 292, 10586, 286, 225, 69, 3259, 596, 17373, 286, 225, 88, 76, 73, 10286, 16, 388, 979, 357, 715, 1671, 292, 2073, 7555, 35, 203, 17, 30743, 30, 314, 1033, 314, 1230, 2421, 286, 339, 2912, 291, 225, 88, 76, 73, 10286, 16, 314, 3972, 290, 12653, 225, 69, 1171, 359, 225, 69, 5467, 18, 11540, 3938, 530, 698, 27388, 716, 225, 69, 1162, 806, 290, 1427, 286, 1446, 225, 69, 1171, 292, 5447, 717, 291, 225, 88, 76, 73, 10586, 1504, 359, 761, 359, 3570, 225, 69, 1162, 292, 551, 13020, 664, 9123, 389, 467, 397, 290, 18681, 12622, 18, 203, 17, 18071, 30, 1838, 1071, 1597, 225, 69, 616, 11854, 291, 28957, 550, 1285, 1940, 286, 313, 35, 203, 17, 30743, 30, 23097, 527, 291, 7045, 16, 314, 1919, 352, 88, 427, 225, 69, 1171, 292, 1907, 616, 1888, 550, 596, 3719, 225, 88, 76, 73, 10286, 664, 314, 979, 290, 225, 88, 76, 73, 2960, 596, 643, 32088, 3357, 643, 1411, 609, 1778, 18, 2861, 16, 314, 688, 225, 69, 4781, 292, 10586, 17, 31464, 9116, 1119, 291, 551, 1229, 969, 290, 1344, 18, 314, 703, 427, 652, 13232, 286, 1446, 479, 803, 1778, 650, 314, 385, 225, 69, 6840, 18, 7710, 225, 69, 5134, 557, 28957, 1285, 6625, 225, 69, 6640, 423, 279, 13513, 4881, 286, 225, 69, 1504, 292, 4329, 664, 313, 18, 203, 17, 18071, 30, 1498, 660, 225, 69, 3259, 291, 10586, 596, 313, 1425, 225, 69, 2450, 2609, 35, 203, 17, 30743, 30, 12570, 35, 314, 352, 72, 1335, 1043, 19289, 1021, 11681, 445, 732, 292, 225, 88, 76, 73, 28823, 40220, 9263, 318, 225, 69, 17442, 10831, 3259, 18, 1236, 795, 17, 7069, 87, 225, 88, 76, 73, 745, 3141, 10586, 9263, 1060, 16, 318, 225, 69, 8463, 39776, 10611, 292, 10586, 4206, 16, 1767, 14510, 290, 2134, 290, 504, 225, 88, 76, 73, 43615, 10586, 1201, 1060, 18, 28034, 16, 780, 352, 87, 225, 69, 2592, 290, 314, 813, 286, 688, 670, 21148, 780, 3168, 633, 5615, 286, 16, 286, 4076, 1995, 541, 42516, 18, 203, 17, 18071, 30, 1838, 502, 313, 1033, 225, 88, 76, 73, 1924, 6019, 326, 1778, 291, 10586, 35, 203, 17, 30743, 30, 601, 6019, 2896, 517, 10389, 7091, 18, 1591, 6777, 2216, 961, 670, 357, 318, 290, 770, 1792, 1317, 16, 1778, 371, 9952, 527, 290, 1482, 519, 884, 7343, 2073, 18, 601, 352, 87, 225, 69, 5447, 595, 286, 339, 225, 69, 4881, 290, 225, 69, 13686, 952, 408, 427, 1496, 286, 541, 940, 543, 1216, 290, 541, 798, 543, 717, 720, 408, 1801, 979, 18, 3439, 602, 314, 2410, 286, 18544, 290, 5193, 10586, 952, 357, 352, 87, 827, 225, 88, 76, 73, 745, 6107, 290, 3367, 11105, 371, 2354, 18, 203, 17, 18071, 30, 996, 313, 882, 3665, 225, 69, 2450, 291, 10586, 345, 313, 352, 315, 1411, 1772, 16, 670, 703, 357, 339, 35, 203, 17, 30743, 30, 314, 352, 72, 664, 286, 1934, 551, 1032, 383, 19067, 17020, 16, 314, 427, 1579, 2547, 314, 352, 81, 31459, 1060, 2750, 345, 314, 1380, 949, 325, 19067, 326, 18, 203, 17, 18071, 30, 5721, 318, 398, 3183, 2243, 2448, 16, 290, 3183, 4750, 22456, 35, 203, 17, 30743, 30, 16134, 13045, 318, 2801, 551, 3183, 2243, 2448, 18, 46661, 325, 28971, 3568, 385, 225, 88, 76, 73, 724, 1051, 1313, 491, 23336, 3648, 314, 2897, 290, 357, 35988, 530, 527, 291, 225, 88, 76, 73, 910, 836, 396, 13624, 2448, 14216, 527, 696, 20285, 20892, 1473, 16, 556, 19528, 21359, 16, 6872, 5354, 616, 13588, 88, 354, 550, 24458, 292, 21434, 49, 22, 13, 203, 17, 18071, 30, 8442, 345, 442, 318, 2330, 1156, 1324, 286, 7022, 398, 1474, 19, 31603, 10586, 1512, 18, 203, 30743, 30, 5049, 2155, 2477, 30, 203, 988, 703, 664, 286, 4084, 16534, 2519, 454, 326, 2158, 225, 88, 76, 73, 595, 286, 3466, 531, 2257, 16, 517, 543, 9082 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 318, 1541, 4184, 359, 225, 69, 7019, 4467, 596, 1670, 1159, 225, 88, 76, 73, 32767, 7352, 292, 225, 88, 76, 73, 478, 12115, 698, 40121, 754, 225, 88, 76, 73, 34375, 7352, 286, 3450, 225, 88, 76, 73, 1868, 423, 16885, 3237, 267, 472, 21992, 18, 203, 203, 2177, 385, 225, 88, 76, 73, 4467, 292, 4433, 526, 2232, 1251, 4771, 16, 3178, 291, 2262, 2616, 16, 1535, 522, 2371, 18, 203, 203, 10220, 969, 203, 2177, 385, 3157, 325, 377, 2494, 14063, 291, 3109, 700, 9932, 4227, 16, 5460, 356, 4753, 16, 11237, 15812, 359, 225, 88, 76, 73, 14423, 292, 225, 88, 76, 73, 1201, 18, 731, 644, 832, 9979, 9127, 290, 685, 9979, 11902, 18, 1728, 3223, 385, 3988, 30718, 2248, 76, 73, 16, 596, 724, 3220, 291, 225, 88, 76, 73, 4060, 290, 1708, 3989, 225, 88, 76, 73, 3625, 292, 45369, 3370, 16, 290, 522, 2974, 385, 225, 69, 35244, 784, 18, 731, 3500, 522, 4218, 2528, 383, 30718, 611, 79, 2895, 3049, 16, 11192, 327, 2895, 290, 11192, 327, 2895, 5198, 10128, 27626, 9291, 8377, 18, 3273, 458, 5801, 11192, 327, 2895, 27626, 9291, 8377, 326, 8635, 2528, 18, 1979, 7076, 225, 88, 76, 73, 12669, 9765, 16, 458, 6025, 383, 225, 88, 76, 73, 6535, 42922, 89, 9108, 45369, 3370, 12898, 6953, 3049, 291, 12812, 290, 2406, 359, 225, 69, 12898, 8576, 291, 225, 88, 76, 73, 45369, 3370, 3625, 291, 6535, 296, 16, 11192, 20854, 382, 16, 39825, 7550, 16, 9968, 43990, 8377, 290, 39102, 18, 203, 203, 2177, 4308, 2325, 902, 29037, 17841, 555, 33053, 18518, 2895, 15863, 2829, 2325, 902, 568, 1712, 359, 3649, 700, 3166, 4152, 3166, 20412, 2248, 76, 73, 291, 2698, 10708, 18, 1236, 385, 225, 69, 15758, 4726, 383, 8121, 20344, 2512, 18499, 11, 3049, 16, 3109, 700, 9932, 16, 11192, 327, 2895, 18, 1728, 3198, 318, 1498, 12022, 30718, 2248, 76, 73, 16, 596, 2750, 2654, 291, 3994, 18, 203, 203, 45394, 560, 555, 69, 526, 2630, 9979, 5597, 33141, 7373, 16, 385, 4308, 286, 428, 387, 293, 4944, 1773, 281, 328, 16, 225, 88, 76, 73, 2677, 16487, 12143, 292, 225, 88, 76, 73, 39102, 19888, 3721, 16, 596, 385, 225, 88, 76, 73, 9979, 3845, 292, 5604, 7661, 293, 4944, 1773, 281, 328, 18, 203, 203, 37, 5326, 2248, 76, 73, 3904, 325, 1583, 2262, 2489, 383, 225, 88, 76, 73, 2184, 292, 18337, 383, 522, 9127, 5373, 93, 287, 4944, 526, 8957, 16, 827, 458, 385, 2354, 819, 4721, 478, 12115, 16, 291, 9968, 356, 11989, 4568, 18, 409, 3028, 385, 225, 69, 13346, 31, 458, 4164, 644, 225, 69, 2328, 3727, 18, 203, 203, 21572, 2269, 203, 2691, 225, 88, 76, 73, 478, 12115, 4120, 6653, 431, 5897, 49326, 24220, 4568, 291, 11153, 16, 458, 385, 10650, 286, 1620, 554, 292, 225, 88, 76, 73, 3173, 3506, 7227, 291, 11237, 15812, 18, 731, 3989, 478, 12115, 291, 11153, 754, 378, 17915, 284, 579, 354, 9569, 8551, 33872, 425, 8018, 2895, 16, 827, 458, 385, 823, 2220, 359, 40406, 33963, 4568, 38048, 21604, 46818, 38048, 1043, 47356, 10329, 2196, 1592, 18, 12898, 8576, 47475, 466, 338, 2571, 7348, 8551, 33872, 425, 361, 5165, 581, 11211, 560, 555, 69, 290, 819, 225, 88, 76, 73, 724, 5747, 383, 1466, 4910, 321, 5373, 93, 267, 11518, 41230, 19778, 291, 1104, 317, 2571, 16, 458, 8985, 522, 5435, 286, 3630, 225, 88, 76, 73, 932, 16, 5801, 478, 12115, 4120, 383, 5897, 49326, 24220, 4568, 526, 4194, 7970, 2347, 383, 225, 88, 76, 73, 6065, 4691, 3625, 325, 10022, 3568, 18, 557, 6799, 458, 2154, 279, 3577, 2260, 292, 478, 12115, 819, 15815, 277, 423, 225, 88, 76, 73, 1616, 18, 731, 385, 568, 1712, 291, 1579, 4590, 30, 1043, 47356, 10329, 16, 46818, 40521, 22278, 16, 4584, 16, 14652, 2417, 5897, 989, 290, 428, 4905, 8018, 2895, 389, 22315, 328, 512, 18, 203, 203, 5733, 798, 3506, 5940, 16, 458, 13618, 941, 17, 87, 12879, 1194, 16251, 290, 385, 30716, 291, 2764, 18, 731, 6653, 798, 37415, 290, 8791, 2497, 11064, 346, 2219, 3993, 16, 5068, 290, 2155, 14462, 479, 1060, 39102, 16, 4242, 12813, 292, 1924, 478, 12115, 2988, 18, 557, 478, 12115, 5634, 322, 16402, 292, 11262, 16, 11211, 560, 555, 69, 385, 8356, 286, 1083, 225, 88, 76, 73, 30910, 444, 292, 225, 88, 76, 73, 857, 8517, 5604, 7661, 355, 20339, 8018, 16414, 382, 373, 423, 6340, 81, 885, 7947, 290, 3054, 225, 88, 76, 73, 30910, 444, 3897, 18, 731, 385, 8227, 225, 69, 4684, 292, 21457, 286, 3630, 225, 88, 76, 73, 6340, 81, 885, 3727, 1535, 1136, 18, 1878, 3288, 325, 2355, 832, 16, 11262, 16, 1689, 225, 88, 76, 73, 45993, 20416, 291, 42189, 18465, 16, 517, 786, 609, 1592, 5459, 18, 11211, 560, 555, 69, 1509, 346, 430, 1007, 321, 30794, 5839, 902, 16, 34130, 16, 428, 4905, 290, 1579, 1761, 643, 9859, 325, 225, 88, 76, 73, 1876, 292, 2355, 848, 16, 11262, 819, 961, 11959, 292, 8227, 225, 88, 76, 73, 4684, 292, 21457, 18, 203, 203, 5733, 442, 927, 16, 458, 1112, 1710, 12100, 3332, 78, 46103, 7354, 326, 225, 88, 76, 73, 724, 595, 827, 458, 724, 7792, 286, 3332, 78, 46103, 7354, 291, 6442, 291, 10858, 18, 30718, 2248, 76, 73, 385, 568, 225, 88, 76, 73, 910, 1279, 292, 3332, 78, 46103, 7354, 291, 522, 1172, 1477, 18, 30350, 16, 346, 225, 88, 76, 73, 14557, 292, 225, 88, 76, 73, 1627, 292, 5864, 291, 2698, 10687, 16, 10483, 5122, 261, 328, 512, 16, 3392, 267, 11518, 421, 12207, 328, 512, 16, 11211, 560, 555, 69, 16, 35047, 495, 362, 9569, 11211, 287, 11989, 38048, 22926, 2512, 2591, 290, 1579, 1761, 643, 2740, 325, 2698, 2399, 16, 10687, 18, 1783, 2740, 962, 1592, 643, 568, 3577, 291, 12709, 225, 88, 76, 73, 3216, 292, 609, 3506, 16060, 290, 22805, 2614, 225, 88, 76, 73, 2839, 18, 7661, 546, 4753, 24220, 4568, 526, 1577, 325, 1466, 4910, 321, 5373, 93, 267, 11518, 41230, 19778, 291, 1104, 317, 2571, 385, 519, 11703, 383, 345, 595, 18, 557, 225, 88, 76, 73, 15248, 16, 8303 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 73, 24018, 3537, 5349, 290, 5981, 624, 286, 10691, 286, 3469, 42008, 10519, 290, 4532, 2895, 16, 6072, 18, 203, 409, 13883, 8670, 25051, 4321, 385, 3178, 16, 3500, 346, 709, 884, 8891, 16, 517, 4367, 5316, 5508, 14099, 286, 41215, 357, 2340, 3856, 18, 203, 5134, 643, 2123, 225, 88, 76, 73, 1054, 286, 6158, 291, 225, 88, 76, 73, 9243, 18, 203, 5070, 8517, 5604, 14080, 18751, 3823, 225, 69, 4576, 1537, 16, 1318, 6533, 286, 225, 88, 76, 73, 724, 1029, 32703, 596, 882, 6104, 423, 225, 88, 76, 73, 1851, 6248, 286, 3610, 291, 1490, 720, 1872, 1477, 18, 203, 409, 9447, 4368, 292, 225, 88, 76, 73, 1851, 2198, 36387, 225, 88, 76, 73, 19314, 292, 5418, 4467, 23542, 603, 18, 1466, 967, 811, 225, 88, 76, 73, 9948, 43785, 3408, 326, 1482, 279, 5096, 7467, 6579, 291, 26166, 16, 7045, 291, 16566, 18, 203, 15908, 8909, 292, 1063, 12717, 696, 1979, 2039, 292, 291, 28599, 16, 225, 69, 631, 8452, 292, 965, 2182, 17, 1448, 290, 7509, 325, 14382, 346, 279, 9898, 21767, 291, 1063, 12717, 16, 3300, 346, 5224, 22062, 6130, 20261, 355, 337, 15406, 290, 522, 3564, 1027, 544, 643, 9922, 346, 519, 797, 17, 2996, 17, 765, 4159, 18, 409, 2735, 11181, 225, 88, 76, 73, 3727, 5200, 961, 14709, 9311, 16, 517, 519, 4159, 385, 5588, 18, 203, 31769, 643, 2404, 286, 4461, 554, 292, 225, 88, 76, 73, 8083, 325, 225, 88, 76, 73, 8199, 7828, 3024, 3170, 4119, 16, 346, 24169, 393, 18, 351, 18, 421, 18, 17306, 281, 989, 19016, 522, 5457, 18, 203, 409, 43529, 88, 76, 39134, 17329, 225, 88, 76, 73, 1851, 2198, 5349, 3062, 3849, 385, 32445, 383, 14869, 7591, 16, 1063, 2229, 18, 203, 7202, 3586, 685, 486, 1860, 966, 4195, 385, 3178, 291, 1099, 367, 1969, 9012, 16, 41032, 18, 203, 17372, 30, 23842, 378, 19471, 16, 1644, 6693, 16, 1083, 4750, 22240, 326, 225, 88, 76, 73, 21179, 9660, 13107, 16, 5597, 286, 21742, 378, 19471, 16, 291, 5218, 5110, 16, 14133, 396, 72, 18, 9403, 5507, 2212, 1341, 356, 293, 16, 22886, 666, 1593, 4260, 6666, 16, 14864, 292, 225, 88, 76, 73, 1911, 18, 10528, 290, 1911, 18, 37029, 13268, 12999, 1154, 2107, 2446, 3299, 16, 12702, 292, 225, 88, 76, 73, 25795, 3849, 6759, 16, 25795, 20400, 6525, 16, 290, 3062, 1010, 526, 6525, 16, 291, 30174, 34162, 16, 6758, 22886, 567, 396, 614, 22158, 13, 396, 72, 18, 10945, 5507, 48561, 16188, 16, 1644, 2746, 2946, 16, 3313, 326, 225, 88, 76, 73, 5402, 19197, 423, 10679, 286, 14541, 16, 291, 26780, 16, 4278, 396, 72, 18, 6890, 13, 203, 389, 920, 30, 16944, 478, 533, 32710, 16, 5316, 17, 14211, 16361, 4467, 16, 7754, 292, 225, 88, 76, 73, 5049, 26836, 292, 225, 88, 76, 73, 6248, 292, 9732, 290, 26296, 290, 2260, 292, 225, 88, 76, 73, 24077, 43886, 3556, 291, 4681, 396, 588, 21889, 532, 13, 396, 70, 18, 29009, 13, 203, 203, 6974, 1814, 16, 16667, 396, 17077, 13, 1563, 47083, 1921, 291, 35606, 380, 4751, 31347, 16, 6072, 2483, 6475, 2332, 1584, 225, 88, 76, 73, 42198, 7362, 729, 819, 225, 88, 76, 73, 10843, 292, 7070, 47083, 482, 8931, 596, 10973, 286, 21097, 519, 6728, 286, 225, 88, 76, 73, 3537, 5349, 18, 409, 26144, 3682, 225, 88, 76, 73, 5316, 4367, 5349, 6767, 940, 292, 225, 88, 76, 73, 3442, 1509, 225, 88, 76, 73, 2882, 3703, 18, 203, 409, 319, 16057, 11583, 3909, 225, 88, 76, 73, 43723, 1038, 7479, 291, 577, 12207, 11651, 23363, 16, 2961, 16, 346, 6463, 43723, 1038, 16, 1524, 356, 11651, 16, 17449, 382, 9108, 16, 319, 16057, 923, 94, 4802, 16, 290, 19824, 2467, 5050, 225, 88, 76, 73, 1695, 18, 203, 203, 6974, 1519, 16, 16667, 396, 17261, 13, 1563, 409, 33327, 5349, 5401, 279, 16870, 4411, 16, 225, 88, 76, 73, 37313, 286, 225, 88, 76, 73, 33327, 3062, 7044, 18, 203, 409, 1946, 23, 4263, 17832, 18157, 292, 225, 88, 76, 73, 3194, 5349, 385, 32445, 18, 203, 409, 6759, 292, 640, 18, 28498, 3178, 225, 88, 76, 73, 3523, 3246, 335, 40310, 3049, 291, 21415, 335, 391, 16, 11045, 18, 203, 1644, 11394, 7804, 7929, 4806, 299, 18454, 522, 19096, 13319, 409, 18641, 383, 225, 88, 76, 73, 16516, 13748, 291, 1063, 2229, 2086, 16, 2375, 41940, 507, 4911, 5981, 357, 286, 2405, 819, 1220, 7568, 18, 203, 203, 6974, 2272, 16, 16667, 396, 16585, 13, 1563, 15908, 8909, 292, 1063, 12717, 696, 7870, 1477, 819, 225, 88, 76, 73, 3727, 325, 6130, 20261, 355, 337, 15406, 290, 522, 1201, 16, 225, 69, 4964, 385, 9471, 286, 13910, 754, 1063, 12717, 41463, 323, 431, 225, 88, 76, 73, 982, 4246, 326, 225, 88, 76, 73, 965, 871, 40832, 3300, 291, 15556, 18, 409, 4964, 3909, 346, 30, 689, 4274, 427, 1411, 6089, 530, 290, 544, 1411, 459, 4466, 314, 714, 670, 313, 1515, 23947, 1947, 290, 398, 28654, 4060, 1015, 225, 88, 76, 73, 15908, 8909, 1556, 1979, 1579, 543, 15645, 16, 225, 88, 76, 73, 4964, 11929, 345, 691, 9520, 1452, 385, 2533, 291, 4354, 819, 17479, 325, 225, 88, 76, 73, 1737, 5855, 16, 458, 703, 10804, 225, 88, 76, 73, 14382, 18, 203, 5224, 3290, 13362, 69, 395, 322, 1081, 1623, 2602, 380, 7989, 310, 38570, 7989, 1623, 44039, 5738, 385, 5141, 291, 44039, 5738, 16, 5963, 18, 601, 16675, 346, 609, 8038, 658, 225, 88, 76, 73, 1358, 3503, 286, 1620, 225, 88, 76, 73, 361, 27213, 1226, 14116, 2572, 83, 27730, 12271, 21068, 18, 203, 17372, 30, 314, 22131, 15419, 9385, 16, 5316, 20004, 18220, 16, 554, 292, 225, 88, 76, 73, 6246, 10242, 8288, 18327, 11551, 326, 225, 88, 76, 73, 16612, 21152, 21671, 583, 16, 291, 35489, 6922, 396, 72, 18, 3486, 13, 203, 203, 6974, 2116, 16, 16667, 396, 14155, 13, 1563, 409, 9953, 3582, 1173, 6117, 555, 9561, 225, 88, 76, 73, 11592, 19450, 24453, 291, 225, 69, 797, 17, 11752, 19125, 286, 1419, 225, 88, 76, 73, 5277, 9060, 3525, 16, 19499, 624, 286, 748, 1584, 225, 88, 76, 73, 14145, 1594 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 291, 654, 2368, 408, 3433, 313, 18, 2, 0, 70, 447, 2812, 203, 521, 10498, 3675, 8150, 3586, 385, 307, 17, 16974, 291, 2209, 292, 4597, 16, 290, 318, 1227, 286, 479, 1389, 4848, 18, 707, 2750, 427, 581, 10225, 1592, 16, 1119, 4062, 290, 4750, 18, 707, 427, 1592, 292, 479, 6843, 346, 11417, 16539, 5912, 290, 1046, 3265, 292, 1185, 18, 203, 1926, 371, 798, 3772, 689, 23646, 6, 5124, 292, 531, 2595, 16, 359, 761, 359, 531, 2575, 359, 225, 69, 1310, 3084, 291, 531, 1504, 18, 8150, 2595, 1592, 371, 2505, 286, 4133, 7057, 14060, 290, 9058, 5770, 291, 2595, 290, 1504, 2547, 18, 203, 829, 1374, 286, 1118, 531, 20432, 3064, 16, 408, 427, 3118, 1046, 1938, 17, 24806, 2141, 573, 1706, 531, 2998, 17, 46868, 27554, 14823, 4928, 18, 203, 988, 371, 1592, 292, 409, 2090, 3721, 292, 2361, 8150, 25749, 16, 3726, 18, 203, 387, 409, 8150, 3586, 292, 1063, 7185, 16, 4010, 1148, 774, 17797, 5158, 203, 29962, 203, 29962, 318, 1227, 286, 479, 1389, 4848, 18, 389, 1045, 371, 1175, 3021, 326, 3197, 1175, 4665, 326, 3366, 18, 203, 1543, 424, 2920, 1036, 326, 1216, 325, 708, 286, 1976, 443, 18, 203, 13812, 805, 203, 13812, 805, 371, 2404, 225, 88, 76, 73, 1361, 5691, 292, 1040, 1285, 2427, 754, 1589, 290, 371, 2404, 383, 225, 88, 76, 73, 10498, 3675, 1851, 19506, 3536, 383, 3275, 3536, 3568, 16, 10498, 3675, 16, 16066, 12381, 49143, 6468, 5523, 6246, 18, 7673, 225, 69, 1241, 292, 527, 10391, 277, 5940, 290, 609, 2141, 693, 2, 0, 52, 1534, 5485, 9072, 1138, 8312, 292, 2361, 36494, 8717, 71, 293, 989, 22610, 582, 396, 86, 13, 359, 458, 19311, 522, 18124, 5142, 346, 2601, 8334, 16, 2593, 225, 88, 76, 73, 319, 22389, 16581, 16, 383, 225, 88, 76, 73, 29077, 16, 2209, 2116, 16, 2855, 18, 2, 0, 33361, 292, 225, 69, 12156, 3670, 1249, 291, 17, 945, 39333, 3026, 4997, 346, 225, 69, 2825, 4543, 18, 203, 41401, 44575, 94, 9012, 16, 10124, 17, 48, 5878, 69, 17034, 203, 7552, 3008, 16, 8077, 14642, 203, 46690, 30, 1136, 18, 2288, 2419, 19, 1996, 18, 4979, 6181, 916, 203, 1647, 318, 357, 581, 35, 203, 521, 39333, 1681, 766, 2743, 14267, 47258, 12156, 3670, 346, 554, 4126, 290, 1342, 225, 88, 76, 73, 787, 292, 2647, 1251, 16, 2375, 16, 357, 4328, 864, 9886, 290, 3255, 8342, 18, 557, 17, 945, 39333, 1681, 766, 318, 543, 10283, 290, 4328, 1490, 3255, 8342, 16, 517, 225, 88, 76, 73, 14232, 3670, 318, 6478, 346, 225, 69, 1171, 292, 7743, 18, 707, 1552, 279, 12644, 326, 28753, 279, 4720, 43970, 292, 225, 88, 76, 73, 3670, 345, 357, 318, 6095, 346, 279, 16656, 983, 12644, 291, 1162, 3925, 19561, 225, 88, 76, 73, 3670, 346, 864, 1604, 18, 203, 23774, 13596, 203, 4505, 318, 357, 1263, 35, 203, 521, 16656, 983, 12644, 318, 1013, 326, 7743, 22479, 16, 517, 691, 660, 318, 225, 69, 1171, 292, 7743, 225, 88, 76, 73, 12644, 2569, 798, 38375, 286, 623, 225, 69, 877, 1873, 18, 996, 225, 88, 76, 73, 4720, 3125, 318, 2405, 286, 225, 88, 76, 73, 11025, 3125, 16, 225, 88, 76, 73, 1319, 292, 29239, 318, 6277, 290, 225, 88, 76, 73, 1604, 292, 225, 88, 76, 73, 1873, 7380, 14672, 18, 707, 18033, 1249, 225, 69, 25577, 286, 723, 286, 16091, 225, 69, 1317, 4720, 3125, 18, 738, 2149, 32098, 345, 225, 88, 76, 73, 12644, 5161, 291, 225, 69, 1491, 5711, 290, 225, 88, 76, 73, 7743, 318, 5674, 423, 225, 88, 76, 73, 2243, 1873, 2678, 18, 203, 27201, 84, 12040, 203, 1109, 203, 521, 2149, 318, 2204, 290, 882, 339, 2801, 8806, 16, 357, 318, 225, 69, 877, 2724, 326, 19561, 225, 88, 76, 73, 6652, 292, 12156, 6462, 346, 1162, 16560, 4131, 18, 203, 550, 203, 4945, 10124, 17734, 69, 17034, 24576, 203, 21491, 18742, 5280, 2728, 44021, 14831, 33571, 1286, 2895, 203, 2546, 225, 88, 76, 73, 16612, 203, 1200, 2111, 318, 225, 69, 11190, 292, 30, 36767, 2241, 292, 6652, 38429, 346, 6277, 7743, 1249, 37434, 2825, 39333, 1681, 766, 290, 279, 16656, 983, 2149, 2836, 2429, 3008, 16, 8077, 14642, 16, 10306, 45, 30, 1136, 18, 2288, 2419, 19, 1996, 18, 4979, 6181, 916, 18, 2, 0, 6005, 286, 225, 69, 2621, 431, 27187, 35406, 16, 581, 17141, 9, 292, 7218, 371, 449, 4734, 286, 7041, 16863, 18, 409, 2621, 568, 8407, 345, 2967, 9, 292, 7218, 502, 449, 427, 654, 8592, 8720, 18, 996, 398, 3029, 371, 581, 286, 7041, 16, 544, 783, 339, 641, 292, 225, 88, 76, 73, 47490, 5214, 18, 2894, 371, 225, 69, 1162, 4186, 286, 723, 624, 18, 203, 21, 18, 15039, 4631, 9157, 30909, 203, 32060, 783, 449, 339, 225, 88, 76, 73, 724, 909, 325, 398, 1763, 650, 313, 1033, 292, 398, 3029, 352, 8592, 18, 1790, 16, 357, 424, 3613, 624, 1584, 1845, 7393, 18, 24560, 345, 479, 519, 3502, 6106, 371, 527, 286, 2777, 18, 14195, 325, 519, 1489, 16, 969, 16, 16071, 16, 290, 941, 17, 4690, 13266, 3502, 18, 996, 313, 949, 1028, 292, 519, 2772, 1551, 16, 313, 783, 813, 286, 1425, 2158, 225, 69, 12058, 388, 2178, 969, 3502, 3488, 326, 624, 18, 203, 22, 18, 10232, 47342, 9286, 203, 1624, 398, 3029, 623, 4438, 16, 544, 882, 3734, 423, 13331, 2354, 18, 29328, 225, 88, 76, 73, 3770, 1133, 13331, 2354, 290, 5012, 13616, 290, 1182, 225, 88, 76, 73, 745, 5107, 3125, 326, 398, 3029, 18, 14868, 16, 13331, 2354, 3064, 1706, 30, 203, 13060, 10401, 290, 23893, 7522, 203, 14383, 286, 225, 69, 8939, 12359, 203, 25259, 43384, 203, 521, 9596, 12359, 783, 723, 346, 2148, 664, 14325, 1028, 290, 225, 88, 76, 73, 6236, 292, 21859, 286, 33892, 3533, 18, 996, 398, 3029, 1766, 1511, 16, 3009, 12417, 2557, 783, 339, 1796, 286, 1209, 624, 2703, 18, 996, 544, 1766, 3976, 16, 313, 905, 3543, 1425, 13331, 2354, 18, 2776, 225, 88, 76, 73, 33750, 292, 519, 965, 783, 339, 33413, 16, 1367, 2184, 882, 3890, 345, 544, 744, 225, 69, 1162, 28542 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 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, 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 ]
[ 203, 11276, 7379, 35019, 16, 15941, 1968, 32164, 225, 203, 33411, 7379, 35019, 396, 2419, 4299, 1180, 2419, 4271, 873, 3194, 47843, 16, 6711, 3845, 292, 7661, 26717, 7379, 35019, 203, 19635, 7009, 7379, 35019, 396, 31861, 1180, 18313, 873, 5251, 4166, 203, 27409, 7379, 35019, 396, 2455, 3456, 1180, 2419, 3021, 873, 11057, 2666, 3131, 203, 18190, 7379, 35019, 396, 2419, 4425, 1180, 2419, 6188, 873, 4554, 725, 7464, 666, 10968, 11180, 203, 18190, 7379, 35019, 396, 13470, 350, 13, 396, 1758, 1996, 1180, 1758, 9820, 873, 225, 69, 9742, 17, 4387, 29241, 4372, 18, 203, 16177, 7379, 35019, 396, 1758, 5805, 1180, 33225, 873, 5070, 9696, 6171, 3988, 1967, 42891, 7379, 35019, 225, 396, 35239, 17, 18313, 13, 9742, 11816, 290, 36912, 18, 4327, 8607, 7379, 35019, 774, 9742, 2030, 1644, 10711, 18, 4327, 7379, 35019, 2237, 263, 1138, 16, 225, 69, 2237, 41492, 505, 292, 3677, 7996, 203, 203, 1987, 1563, 203, 55, 6634, 1114, 292, 9742, 6489, 203, 8460, 5989, 295, 35838, 2, 0, 829, 18587, 16, 225, 88, 76, 73, 3463, 1011, 80, 983, 1715, 396, 349, 4845, 4594, 532, 7747, 318, 1013, 286, 3188, 286, 42539, 3104, 18993, 1046, 6375, 30, 557, 17493, 290, 18097, 396, 86, 340, 323, 1013, 873, 357, 26747, 225, 88, 76, 73, 7149, 292, 225, 88, 76, 73, 3968, 16, 5758, 286, 225, 88, 76, 73, 4017, 292, 1334, 396, 73, 18, 75, 18, 1331, 968, 325, 225, 88, 76, 73, 2625, 16, 11178, 225, 88, 76, 73, 4435, 873, 517, 291, 609, 44425, 24197, 359, 761, 396, 73, 18, 75, 18, 286, 5400, 16, 326, 797, 8655, 873, 388, 698, 225, 69, 3162, 16, 1027, 291, 316, 583, 94, 290, 609, 22599, 24259, 32065, 7442, 357, 40348, 225, 69, 3968, 2986, 225, 88, 76, 73, 36682, 1906, 388, 225, 88, 76, 73, 1389, 811, 279, 3670, 18, 409, 1011, 80, 983, 1715, 318, 1013, 291, 225, 88, 76, 73, 18097, 16, 316, 583, 94, 290, 17493, 7442, 18, 203, 203, 35577, 225, 203, 829, 17493, 225, 88, 76, 73, 40292, 689, 17, 264, 6, 388, 689, 17, 1428, 6, 40348, 225, 88, 76, 73, 1011, 80, 983, 18, 601, 424, 339, 1013, 664, 689, 6527, 6, 517, 568, 291, 543, 13253, 3104, 326, 5299, 2172, 396, 71, 788, 16, 20737, 859, 1078, 1953, 30, 203, 289, 1286, 4954, 1428, 396, 6527, 225, 88, 76, 73, 5499, 13, 203, 25054, 264, 530, 1256, 1000, 396, 45, 714, 1191, 286, 25054, 13, 203, 1026, 5011, 80, 41564, 88, 17565, 264, 396, 273, 225, 88, 76, 73, 7762, 13, 203, 203, 49305, 225, 203, 28020, 291, 18097, 30, 203, 1072, 425, 774, 827, 286, 35, 203, 489, 24505, 774, 827, 396, 3813, 983, 44105, 13, 203, 1158, 567, 6641, 774, 286, 798, 3152, 203, 490, 13443, 79, 463, 296, 774, 286, 8230, 203, 203, 1987, 203, 203, 39521, 81, 12377, 3104, 2, 0, 48, 555, 277, 1351, 1077, 37229, 16087, 18, 396, 6974, 384, 16, 32790, 696, 1589, 1583, 16, 10480, 13, 385, 279, 1644, 4166, 292, 225, 88, 76, 73, 2775, 591, 88, 76, 954, 1846, 452, 88, 76, 10227, 346, 1579, 2016, 291, 15825, 14790, 16, 8170, 18, 731, 385, 568, 2912, 291, 6564, 326, 39273, 18, 203, 203, 15731, 203, 31097, 270, 385, 3157, 291, 32790, 291, 9269, 16, 1063, 2229, 18, 1728, 3223, 5890, 225, 69, 16880, 8313, 291, 8214, 3271, 16, 1063, 2229, 16, 827, 458, 5801, 1502, 3621, 18, 731, 1708, 5801, 3049, 292, 26926, 6848, 16, 383, 573, 522, 3845, 16, 5348, 430, 18, 37229, 16, 3220, 359, 4115, 18, 203, 2177, 2406, 811, 4166, 11426, 301, 421, 18, 16072, 16, 596, 2389, 225, 88, 76, 73, 3440, 24661, 3536, 291, 40535, 9252, 16, 1063, 2229, 18, 731, 568, 2406, 346, 18503, 954, 3866, 27938, 18, 203, 203, 4379, 19611, 1535, 522, 2371, 458, 385, 4115, 292, 225, 88, 76, 73, 27869, 41371, 779, 4108, 290, 292, 225, 88, 76, 73, 3710, 17, 38, 17673, 41371, 779, 4108, 18, 203, 203, 31097, 270, 385, 6413, 225, 69, 6552, 292, 225, 88, 76, 73, 1644, 4339, 292, 23084, 291, 17888, 18, 731, 3220, 325, 798, 18839, 290, 385, 8052, 4246, 326, 225, 88, 76, 73, 709, 3414, 292, 16375, 291, 709, 1552, 1139, 16, 290, 3220, 359, 18, 31892, 292, 225, 88, 76, 73, 1063, 2229, 11571, 18, 731, 385, 225, 69, 2260, 292, 225, 88, 76, 73, 4119, 292, 35994, 1703, 292, 225, 88, 76, 73, 2086, 292, 1063, 2229, 291, 18168, 16, 225, 69, 2260, 292, 225, 88, 76, 73, 4119, 292, 18132, 290, 27579, 291, 18168, 302, 237, 1180, 302, 237, 1758, 16, 290, 225, 69, 3962, 292, 225, 88, 76, 73, 19276, 3586, 18, 203, 203, 2177, 644, 3220, 359, 225, 88, 76, 73, 4166, 292, 225, 88, 76, 73, 17797, 17, 41372, 560, 9865, 18535, 18, 203, 203, 4075, 3198, 16, 42771, 1351, 1077, 37229, 8402, 18, 385, 279, 1029, 32703, 18, 1728, 22032, 16, 42771, 331, 18, 37229, 8571, 16, 2406, 359, 225, 69, 5103, 18, 203, 203, 31097, 270, 3904, 383, 522, 2779, 965, 383, 7457, 1273, 12335, 291, 32300, 16, 1063, 2229, 325, 1589, 1583, 16, 10480, 18, 203, 203, 13796, 203, 31097, 270, 2389, 225, 69, 2692, 292, 1848, 629, 292, 573, 427, 652, 4842, 325, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 396, 24849, 11388, 859, 601, 318, 6951, 345, 458, 568, 2389, 1579, 20118, 5262, 4700, 291, 1063, 3994, 517, 786, 1514, 292, 803, 504, 652, 1100, 18, 203, 396, 24849, 11388, 13, 203, 203, 47846, 17, 44634, 30, 25933, 8427, 13886, 3536, 16, 915, 225, 88, 76, 73, 44178, 13886, 3536, 396, 47846, 17, 44634, 873, 25389, 1180, 1744, 13392, 1276, 438, 16, 12140, 225, 203, 25533, 291, 7798, 346, 3833, 393, 18, 23580, 8405, 291, 225, 69, 6478, 5250, 25297, 25773, 19, 23976, 10664, 2296, 203, 40518, 16, 6350, 3409, 16, 25389, 1180, 1744, 13392, 1276, 438, 16, 12140, 18, 203, 46036, 17, 44137, 30, 10673, 468, 7713, 16, 15825, 14790, 16, 8170, 203, 42595, 30, 37057, 17, 14247, 471, 3010, 16, 1708, 225, 88, 76, 73, 17695, 2976, 1925, 16, 15825, 14790, 16 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 14072, 22584, 955, 359, 6778, 286, 20597, 1452, 16, 279, 42251, 298, 33825, 4302, 388, 48017, 18, 29682, 326, 1188, 2021, 292, 35630, 3400, 18, 203, 9152, 36419, 5178, 292, 3380, 827, 313, 3400, 18, 24560, 313, 1209, 398, 8339, 290, 673, 17, 45772, 2223, 2017, 292, 548, 16, 7743, 16, 13549, 16, 24492, 290, 609, 25063, 18, 1099, 761, 16, 1425, 6774, 706, 5178, 292, 14936, 42, 11249, 16, 955, 359, 3035, 9122, 16, 9421, 290, 1952, 11223, 290, 19698, 4089, 18, 203, 31783, 225, 88, 76, 73, 7621, 292, 21270, 527, 291, 225, 88, 76, 73, 3960, 292, 225, 88, 76, 73, 1876, 18, 17287, 24299, 326, 279, 3597, 388, 797, 981, 29895, 18, 996, 2318, 427, 225, 69, 1240, 3142, 292, 5714, 16, 2655, 720, 36038, 388, 11479, 5481, 16, 359, 225, 69, 673, 17, 2121, 2378, 14443, 18, 203, 24663, 30660, 225, 88, 76, 73, 2551, 292, 6103, 47061, 18, 14091, 291, 225, 69, 1628, 345, 318, 359, 3411, 3863, 359, 1634, 16, 290, 691, 2318, 3934, 225, 69, 3400, 8055, 286, 3573, 524, 5178, 292, 1598, 18, 203, 40671, 3485, 6365, 9388, 18, 18732, 4836, 16, 225, 69, 3485, 4542, 16, 290, 17657, 271, 1387, 7078, 532, 4170, 290, 6628, 459, 5242, 3400, 18, 203, 6685, 5482, 225, 88, 76, 73, 723, 292, 398, 1489, 18362, 18, 34287, 290, 5095, 3400, 290, 11751, 1489, 5524, 346, 398, 18362, 30, 442, 783, 1706, 12303, 4653, 326, 32365, 42494, 290, 23480, 16005, 18, 9574, 11815, 955, 359, 6103, 47061, 16, 848, 17, 29488, 7260, 30075, 2552, 593, 396, 25, 17, 44, 10933, 873, 26476, 16, 2915, 262, 666, 388, 609, 13758, 783, 568, 339, 5333, 18, 203, 521, 962, 383, 428, 9469, 18134, 1489, 5399, 290, 10621, 10693, 318, 1349, 286, 723, 313, 4076, 3400, 2579, 16, 32365, 42494, 290, 609, 1778, 352, 87, 1489, 2148, 1249, 41633, 14363, 37683, 8315, 31, 16613, 5050, 31234, 16, 11581, 290, 25161, 17596, 18, 203, 9746, 225, 69, 10031, 7331, 203, 3113, 291, 203, 38782, 954, 1283, 20629, 13249, 9496, 31234, 203, 3113, 431, 203, 50, 1339, 4736, 637, 203, 10616, 203, 301, 19984, 203, 438, 570, 27840, 10621, 5681, 203, 2346, 22831, 203, 10469, 82, 17596, 203, 11296, 203, 49168, 41868, 3645, 203, 2951, 13995, 203, 18679, 9909, 15478, 203, 354, 8530, 18492, 1028, 203, 48490, 49559, 203, 10771, 3127, 203, 5496, 10752, 31234, 203, 72, 1003, 578, 15286, 203, 42360, 274, 31895, 203, 14386, 1558, 13816, 203, 14386, 17092, 35339, 203, 14386, 87, 345, 8961, 731, 274, 9920, 290, 49075, 3869, 342, 203, 9813, 203, 15456, 327, 902, 7223, 31234, 203, 75, 327, 1489, 203, 12884, 8201, 203, 12170, 203, 8714, 2195, 8804, 203, 44, 1672, 582, 3308, 203, 5123, 11952, 203, 17844, 505, 25161, 17596, 203, 10202, 29678, 203, 10202, 29678, 31234, 203, 35483, 3308, 203, 22955, 7857, 203, 21861, 7758, 203, 39475, 14363, 902, 203, 17153, 14363, 902, 2520, 13995, 203, 17153, 14363, 8390, 203, 41161, 203, 6976, 15953, 29678, 31234, 203, 84, 960, 9175, 1118, 203, 30520, 3308, 4547, 203, 10358, 274, 19060, 203, 32562, 203, 38782, 954, 1283, 20629, 13249, 9496, 31234, 203, 22941, 81, 3645, 35470, 203, 485, 93, 4947, 203, 485, 93, 4947, 31234, 203, 20584, 203, 39400, 13501, 203, 91, 36037, 1489, 203, 48274, 203, 7751, 1910, 396, 25, 13, 203, 7800, 1910, 396, 25, 13, 203, 7552, 1910, 396, 25, 13, 203, 7322, 1910, 396, 25, 13, 203, 7077, 1910, 396, 25, 13, 203, 4644, 1910, 396, 25, 13, 203, 7322, 1920, 396, 22, 13, 203, 7077, 1920, 396, 24, 13, 203, 4644, 1920, 396, 21, 13, 203, 7065, 1920, 396, 22, 13, 203, 6974, 1920, 396, 21, 13, 203, 8079, 1920, 396, 21, 13, 203, 7800, 2153, 396, 21, 13, 203, 7077, 2153, 396, 23, 13, 203, 4644, 2153, 396, 25, 13, 203, 7552, 2286, 396, 23, 13, 203, 7322, 2451, 396, 23, 13, 203, 7077, 2451, 396, 27, 13, 203, 8209, 2489, 396, 21, 13, 203, 7751, 2489, 396, 21, 13, 203, 7322, 2489, 396, 27, 13, 203, 7077, 2489, 396, 24, 13, 203, 4644, 2489, 396, 23, 13, 203, 7065, 2489, 396, 23, 13, 203, 8209, 2616, 396, 24, 13, 203, 7751, 2616, 396, 22, 13, 203, 7800, 2616, 396, 21, 13, 203, 7322, 2616, 396, 21, 13, 203, 7077, 2616, 396, 21, 13, 203, 6974, 2730, 396, 22, 13, 203, 6074, 19640, 203, 23566, 14943, 10709, 696, 22105, 5951, 18, 9574, 11293, 366, 7033, 12691, 2616, 17, 2288, 17, 6755, 56, 1537, 30, 4299, 30, 7055, 15, 564, 30, 564, 203, 4193, 828, 6451, 225, 69, 33308, 4947, 4298, 22141, 35, 1260, 47128, 2616, 17, 6688, 17, 1878, 56, 2905, 30, 4665, 30, 5592, 15, 564, 30, 564, 203, 1833, 5680, 1558, 6212, 426, 290, 17092, 285, 11323, 1589, 1397, 4704, 14361, 2097, 3308, 696, 1009, 1287, 286, 6328, 1078, 21776, 2723, 12125, 2489, 17, 6788, 17, 6257, 56, 825, 30, 7055, 30, 5805, 15, 564, 30, 564, 203, 50, 9469, 18134, 2221, 225, 88, 76, 73, 3297, 7758, 291, 31234, 2723, 6036, 2730, 17, 6834, 17, 6834, 56, 6643, 30, 3021, 30, 5777, 15, 564, 30, 564, 203, 28, 13945, 292, 3396, 327, 902, 7223, 326, 17969, 36189, 696, 290, 1287, 286, 24560, 828, 6451, 30674, 8048, 8950, 2616, 17, 6755, 17, 3859, 56, 916, 30, 5592, 30, 5932, 15, 564, 30, 564, 203, 11854, 352, 87, 41917, 582, 3308, 383, 398, 31234, 15304, 14363, 902, 15478, 37194, 27, 2489, 17, 6688, 17, 825, 56, 825, 30, 5234, 30, 1537, 15, 564, 30, 564, 203, 1833, 286, 3881, 13351, 30852, 290, 22939, 398, 1489, 12969, 6188, 2616, 17, 6731, 17, 4299, 56, 2905, 30, 1878, 30, 1996, 15, 564, 30, 564, 203, 1537, 10713, 286, 30842, 23137, 290, 1283, 20629, 13249, 9496, 832, 7928, 24, 2616, 17, 1537, 17, 6643, 56, 2866, 30, 2721, 30, 6078, 15, 564, 30, 564, 203, 1833, 286, 8961, 6366, 2097, 1195, 622, 17969, 383, 3953, 11795, 1996, 2616, 17, 2288, 17, 6755, 56, 1537, 30, 6427, 30, 5858, 15, 564, 30, 564, 203, 1833, 286, 14718, 691, 828, 6451, 225, 69, 41917, 582, 4298, 22141, 696, 1009, 1838, 286, 2335, 6420, 601, 6049 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 521, 2494, 2079, 6175, 292, 19915, 7436, 2626, 2443, 5488, 16, 2233, 3153, 16, 290, 609, 3457, 423, 1952, 10901, 16, 346, 225, 69, 1635, 325, 1283, 353, 16, 1315, 24254, 352, 87, 3806, 4804, 2828, 290, 20872, 18, 203, 6314, 1997, 203, 30506, 555, 292, 19915, 203, 55, 9685, 352, 87, 36068, 292, 19915, 8319, 286, 6767, 225, 88, 76, 73, 3457, 292, 955, 2625, 4845, 4508, 291, 225, 69, 2190, 1598, 18, 409, 1909, 22448, 3197, 423, 479, 9819, 292, 225, 88, 76, 73, 6142, 1950, 596, 352, 315, 959, 225, 69, 10246, 2707, 18, 5771, 544, 371, 1249, 685, 40, 8093, 286, 1582, 1532, 35924, 326, 16156, 6667, 7246, 326, 8931, 290, 1528, 16, 9299, 1621, 326, 279, 44899, 4227, 388, 3765, 1463, 946, 290, 13660, 18452, 16, 803, 1950, 2828, 371, 3190, 4875, 225, 88, 76, 73, 1305, 18, 203, 6314, 1997, 203, 41256, 18301, 310, 40880, 203, 20128, 286, 531, 7100, 310, 40880, 326, 225, 88, 76, 73, 3297, 6142, 2587, 290, 4443, 1216, 16, 1315, 2587, 581, 631, 5882, 16, 5650, 27679, 16, 20613, 290, 543, 18, 19915, 18301, 318, 5846, 760, 5903, 2980, 286, 398, 2368, 18, 2, 0, 13075, 13471, 225, 69, 331, 4221, 4641, 1319, 388, 5473, 1810, 13999, 10672, 3414, 326, 13759, 35915, 1485, 6362, 32621, 388, 609, 1510, 788, 318, 1541, 31463, 326, 1502, 2076, 290, 326, 798, 2879, 203, 44535, 426, 18, 203, 1647, 318, 22660, 388, 7691, 788, 35, 203, 20164, 788, 424, 339, 7112, 291, 1579, 2230, 18, 557, 9965, 290, 8046, 16, 10543, 318, 225, 88, 76, 73, 2731, 388, 1418, 292, 225, 88, 76, 73, 745, 10345, 1284, 292, 7648, 291, 6562, 16, 819, 479, 33821, 371, 3955, 18, 996, 12690, 24474, 6562, 16, 5546, 10543, 9339, 18, 557, 279, 9965, 6063, 16, 11711, 7945, 352, 10543, 396, 281, 4146, 7945, 352, 10543, 16, 21340, 352, 5006, 16, 21340, 352, 4029, 388, 2608, 3245, 13, 7705, 225, 88, 76, 73, 6097, 1418, 291, 6562, 292, 225, 69, 1250, 16, 3952, 2196, 1682, 21340, 292, 2078, 388, 8188, 4146, 18, 203, 20164, 413, 33532, 203, 2346, 10543, 3983, 4176, 10004, 286, 225, 88, 76, 73, 5077, 290, 5736, 292, 7644, 292, 4146, 325, 225, 69, 4146, 1297, 431, 3197, 290, 8545, 291, 21583, 292, 4526, 423, 31874, 290, 4029, 13734, 16, 359, 225, 88, 76, 73, 2278, 292, 225, 88, 76, 73, 4146, 18426, 18, 601, 783, 568, 3188, 286, 225, 88, 76, 73, 11061, 292, 10543, 396, 762, 7050, 13, 8458, 291, 225, 69, 2879, 396, 367, 14378, 13, 1250, 388, 225, 69, 12780, 1250, 18, 1605, 225, 88, 76, 73, 3983, 318, 291, 17859, 2076, 16, 357, 318, 7035, 286, 359, 10032, 4029, 9638, 290, 318, 4176, 11848, 359, 225, 69, 2930, 2972, 720, 3983, 291, 4842, 1191, 17, 1373, 1313, 82, 6375, 18, 203, 3048, 1810, 290, 331, 4221, 4641, 27530, 326, 7691, 788, 203, 829, 1374, 286, 623, 279, 5473, 1810, 1319, 388, 331, 4221, 4641, 1319, 326, 1510, 788, 225, 69, 1250, 352, 87, 23935, 1381, 11521, 18, 707, 424, 2359, 345, 554, 352, 87, 23935, 11521, 326, 955, 1319, 2061, 15986, 290, 9502, 225, 88, 76, 73, 1497, 5473, 1810, 290, 331, 4221, 4641, 10039, 18, 203, 5637, 2812, 326, 225, 69, 5052, 7691, 788, 5473, 1810, 290, 331, 4221, 4641, 27180, 203, 1893, 1732, 913, 3849, 203, 1371, 313, 371, 2629, 286, 3228, 326, 225, 69, 2534, 319, 19, 43659, 37, 5473, 1810, 388, 609, 271, 290, 2605, 1310, 318, 670, 531, 962, 34544, 3020, 18, 7344, 443, 1660, 286, 894, 398, 1149, 18, 203, 6588, 319, 290, 34241, 37, 20044, 203, 4139, 383, 5473, 1810, 408, 427, 13331, 16339, 292, 3963, 87, 761, 359, 25875, 319, 396, 6588, 319, 13, 290, 34241, 37, 11936, 18, 996, 398, 1250, 318, 26384, 34241, 37, 19, 6588, 319, 7222, 388, 10543, 203, 9771, 13834, 290, 4328, 225, 69, 331, 4221, 4641, 2, 0, 15192, 292, 1028, 3153, 1369, 225, 88, 76, 73, 4708, 962, 346, 6936, 6966, 581, 3091, 650, 2318, 18, 738, 318, 2276, 1263, 650, 3201, 371, 1376, 291, 2357, 19, 27, 4471, 18, 35112, 326, 1415, 286, 1303, 785, 291, 1477, 388, 2754, 286, 744, 1263, 5133, 318, 449, 15943, 18, 203, 32488, 4163, 318, 3437, 286, 5095, 2579, 541, 544, 424, 339, 24643, 981, 544, 3028, 3091, 286, 499, 968, 326, 1864, 8857, 18, 332, 27449, 10376, 3709, 385, 1249, 279, 2573, 3061, 326, 2508, 4163, 16, 517, 660, 643, 629, 1229, 12250, 346, 442, 2295, 30, 203, 521, 1432, 292, 442, 2295, 3600, 225, 88, 76, 73, 1319, 292, 9699, 345, 882, 339, 19659, 18, 203, 829, 1408, 16, 225, 88, 76, 73, 1560, 17, 887, 1083, 595, 286, 2834, 225, 88, 76, 73, 2241, 2267, 225, 88, 76, 73, 2972, 345, 3878, 882, 3910, 981, 2241, 643, 7484, 18, 203, 9758, 16, 22156, 15744, 388, 41212, 291, 6477, 286, 225, 88, 76, 73, 706, 17, 7952, 3061, 424, 427, 3295, 10755, 286, 4446, 4293, 15171, 2681, 18, 203, 4274, 43046, 442, 2163, 431, 3082, 279, 291, 17, 3409, 3061, 1653, 325, 225, 88, 76, 73, 4161, 343, 32488, 2313, 21191, 14480, 48545, 396, 54, 14629, 13, 27508, 25232, 45767, 15566, 290, 225, 88, 76, 73, 28091, 306, 32354, 6393, 2508, 4155, 6873, 18, 409, 6505, 424, 915, 3681, 2508, 4163, 2241, 291, 770, 1519, 2239, 16, 290, 225, 88, 76, 73, 6277, 1432, 619, 7588, 504, 959, 357, 1634, 286, 2688, 225, 88, 76, 73, 1319, 292, 9699, 19659, 431, 4093, 225, 69, 6139, 292, 2769, 18, 557, 709, 724, 602, 292, 5185, 16, 225, 88, 76, 73, 291, 1577, 3061, 504, 6884, 8720, 292, 658, 225, 69, 2372, 6514, 291, 23372, 290, 658, 225, 69, 2372, 6514, 291, 8857, 346, 1579, 292, 225, 88, 76, 73, 4196, 14214, 13697, 8720, 345, 3190, 3955, 326, 225, 88, 76, 73, 3340, 2543, 292, 225, 88, 76, 73, 8853, 18, 203, 2546, 1997, 203, 20, 5032, 6753, 1036, 286, 987, 19, 20520, 3981, 203, 39047, 30, 12463, 11044, 16, 9992, 1138, 16, 26652, 203, 42270, 7178, 4806, 2658, 40579, 30, 1507, 17, 7952, 7121, 12908, 318, 25520, 1385, 720, 9302 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 15047, 292, 384, 16, 5234, 29, 18, 409, 1519, 88, 76, 18157, 1837, 384, 16, 1318, 698, 5269, 290, 2970, 1260, 1791, 18, 2555, 292, 803, 25657, 2765, 3436, 7106, 290, 377, 16, 2566, 22, 1673, 8779, 16, 431, 1856, 225, 88, 76, 73, 745, 16060, 2498, 291, 225, 69, 2013, 5269, 1154, 225, 88, 76, 73, 2178, 2391, 18, 409, 2157, 326, 442, 385, 225, 88, 76, 73, 2066, 345, 225, 88, 76, 73, 3727, 431, 225, 88, 76, 73, 5070, 832, 88, 76, 5669, 644, 1902, 47026, 225, 88, 76, 73, 10172, 24113, 7479, 517, 652, 1736, 13513, 290, 43236, 18484, 431, 23568, 21895, 2883, 16, 3060, 286, 203, 521, 1358, 927, 9198, 29508, 454, 31128, 296, 526, 849, 8455, 2084, 292, 225, 88, 76, 73, 374, 49837, 30091, 34990, 407, 4943, 694, 14700, 428, 86, 18, 10908, 4997, 660, 385, 225, 69, 17367, 291, 21895, 17645, 396, 11314, 689, 11501, 9057, 84, 789, 6, 77, 82, 3911, 5349, 5187, 13, 345, 2483, 819, 225, 88, 76, 73, 5269, 5148, 290, 225, 88, 76, 73, 15909, 292, 225, 88, 76, 73, 17575, 5070, 5508, 18, 409, 10908, 88, 76, 393, 2254, 526, 4960, 6269, 643, 2573, 292, 47825, 12294, 13050, 2558, 359, 2405, 359, 685, 15249, 33940, 423, 7386, 686, 13050, 290, 377, 15249, 15566, 423, 13555, 704, 13050, 18, 203, 37069, 463, 1500, 2304, 2719, 225, 88, 76, 73, 2364, 292, 47825, 12294, 13050, 819, 225, 88, 76, 73, 5269, 1146, 2578, 225, 88, 76, 73, 3911, 2290, 3882, 18, 43059, 17, 94, 356, 1695, 5098, 4183, 290, 325, 1736, 318, 225, 69, 1695, 292, 3911, 38824, 18, 203, 2346, 4854, 291, 225, 88, 76, 73, 2764, 5138, 20400, 16395, 10317, 87, 2446, 33798, 774, 14263, 25067, 292, 5148, 1689, 47825, 12294, 13050, 431, 45414, 1653, 383, 640, 18, 11409, 16, 4409, 325, 2355, 1519, 4001, 30, 26766, 346, 9229, 16847, 1780, 14606, 6189, 7220, 1220, 23697, 11739, 1556, 203, 2091, 225, 88, 76, 73, 2625, 225, 88, 76, 73, 678, 9057, 84, 789, 4810, 8075, 18, 9198, 31128, 296, 6246, 345, 689, 23078, 16, 2110, 8122, 2764, 37223, 644, 9174, 225, 88, 76, 73, 4960, 6269, 292, 225, 88, 76, 73, 10908, 88, 76, 393, 2254, 526, 40586, 694, 832, 2573, 292, 47825, 12294, 13050, 1556, 409, 5187, 292, 225, 88, 76, 73, 34990, 407, 4943, 694, 14700, 428, 86, 18, 10908, 5586, 30, 689, 34757, 2764, 10514, 2883, 6925, 2152, 8395, 325, 40586, 694, 832, 345, 9489, 1220, 11131, 290, 519, 6269, 18, 374, 12065, 2019, 1896, 36889, 277, 16, 834, 350, 3149, 553, 1385, 1524, 866, 16, 14714, 263, 1385, 3571, 17213, 290, 3024, 285, 1538, 765, 267, 396, 1573, 295, 13, 9499, 2667, 643, 5588, 3856, 18, 834, 350, 3149, 553, 1385, 707, 293, 3904, 1708, 423, 522, 18694, 18, 14714, 263, 1385, 4806, 18067, 385, 17868, 16145, 18, 14714, 263, 1385, 332, 498, 1718, 290, 1378, 14714, 263, 1385, 643, 16145, 346, 1357, 7474, 431, 400, 1681, 3642, 423, 225, 88, 76, 73, 41273, 21895, 20599, 18, 203, 3134, 15783, 526, 1797, 2084, 383, 33554, 7465, 286, 5201, 10553, 819, 2723, 806, 18, 203, 56, 2273, 50068, 409, 10553, 203, 521, 2764, 4974, 316, 2273, 286, 225, 88, 76, 73, 5201, 10553, 18, 4150, 225, 88, 76, 73, 2391, 526, 1172, 797, 806, 16, 2764, 290, 3395, 13615, 2533, 279, 3923, 2450, 291, 706, 675, 1052, 18, 3911, 13615, 643, 1490, 4129, 290, 644, 225, 69, 4762, 2450, 18, 409, 1500, 325, 225, 88, 76, 73, 1736, 2719, 3395, 13615, 1191, 286, 225, 88, 76, 73, 2290, 18, 409, 1500, 325, 225, 88, 76, 73, 1054, 2719, 279, 2764, 7273, 9489, 431, 225, 69, 2152, 2843, 423, 3911, 5096, 17, 6996, 21895, 18, 203, 12476, 5263, 50068, 409, 2446, 203, 829, 225, 88, 76, 73, 724, 2039, 292, 225, 88, 76, 73, 2391, 291, 16382, 16, 2580, 291, 225, 88, 76, 73, 1593, 658, 225, 88, 76, 73, 5269, 5690, 385, 3600, 286, 28366, 27721, 290, 823, 3600, 6503, 10210, 37223, 787, 326, 325, 87, 4428, 18, 409, 3395, 16, 3911, 290, 3194, 22787, 17876, 644, 955, 225, 69, 2190, 35596, 2450, 544, 1541, 23473, 4710, 10041, 286, 1040, 609, 18, 1078, 624, 16, 660, 385, 225, 69, 1845, 5539, 292, 418, 2188, 732, 2196, 2939, 359, 6889, 27033, 18, 409, 2219, 3263, 961, 670, 357, 318, 16, 2678, 4810, 345, 2223, 650, 554, 9093, 1837, 225, 69, 4960, 527, 346, 950, 290, 11843, 383, 225, 69, 9093, 292, 225, 88, 76, 73, 609, 1752, 18, 28321, 2678, 2154, 543, 17030, 5015, 16, 19116, 6436, 326, 661, 7839, 293, 566, 2154, 225, 69, 7411, 1932, 290, 6889, 643, 45221, 346, 3687, 11131, 326, 19116, 8817, 18, 2519, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 2391, 291, 15556, 16, 225, 88, 76, 73, 6503, 10210, 37223, 3842, 10828, 359, 21413, 359, 1059, 325, 225, 88, 76, 73, 2625, 290, 643, 7809, 1013, 326, 19116, 730, 501, 277, 290, 24335, 292, 9893, 291, 2290, 1695, 38824, 18, 332, 1873, 385, 225, 88, 76, 73, 2678, 3118, 5096, 17, 50230, 21895, 290, 4281, 3687, 4960, 6269, 18, 203, 16252, 16, 418, 2188, 732, 2196, 290, 2986, 6889, 19489, 385, 383, 1631, 549, 3932, 438, 18, 1507, 1589, 3498, 16, 16566, 16, 9198, 29508, 454, 31128, 296, 16, 19325, 2049, 88, 43682, 30091, 10908, 88, 76, 34990, 2398, 4943, 694, 14700, 4997, 689, 829, 225, 88, 76, 73, 1389, 292, 225, 88, 76, 73, 12237, 3797, 2217, 16, 225, 69, 16145, 2764, 278, 3164, 959, 225, 69, 5981, 10063, 18, 409, 3911, 278, 3164, 596, 4126, 950, 968, 16, 12949, 1358, 286, 950, 290, 2758, 225, 88, 76, 73, 14709, 16145, 50228, 724, 4902, 5275, 1556, 601, 385, 449, 9106, 2276, 1133, 3194, 290, 3911, 5508, 345, 17876, 596, 3904, 819, 3459, 968, 2578, 9531, 3882, 2524, 7635, 2520, 9809, 3938, 527, 431, 6566, 7434, 325, 225, 88, 76, 73, 3830, 9093, 526, 39615, 286, 3639, 225, 88, 76, 73, 8108, 526, 2840, 290, 3248, 225, 88, 76, 73, 9093, 526, 1797, 3912, 18, 203, 6974, 2967, 16, 16566, 225, 69, 3911, 6889, 959, 225, 69, 5981 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4406, 318, 225, 88, 76, 73, 4174, 326, 20490, 40539, 3345, 696, 449, 6559, 3212, 29956, 1574, 18, 203, 2852, 203, 11879, 89, 1723, 30, 203, 8324, 2399, 16, 2153, 383, 1136, 30, 6688, 714, 203, 13027, 318, 823, 877, 203, 2852, 203, 14136, 21030, 1214, 1723, 30, 203, 7552, 1260, 16, 2079, 383, 1260, 30, 7933, 714, 203, 7346, 16, 359, 314, 813, 286, 1209, 1174, 14721, 346, 6396, 2669, 658, 595, 16, 424, 314, 787, 500, 2324, 23227, 38932, 19, 2121, 16896, 8812, 18, 1515, 16, 291, 609, 2824, 16, 1071, 41224, 4458, 291, 654, 500, 2324, 38932, 290, 314, 905, 2037, 1576, 423, 345, 35, 5282, 313, 18, 203, 2852, 203, 31533, 45792, 262, 17, 15402, 1723, 30, 203, 7552, 1260, 16, 2079, 383, 1025, 30, 2866, 3242, 203, 32143, 313, 427, 225, 69, 6559, 1735, 345, 2719, 313, 427, 396, 21, 13, 225, 69, 24585, 291, 1864, 12477, 290, 396, 22, 13, 225, 69, 2110, 3159, 6396, 2669, 16, 313, 905, 449, 787, 17998, 18, 601, 352, 87, 616, 5543, 1518, 550, 290, 6296, 16, 225, 88, 76, 73, 41224, 318, 660, 290, 12950, 1349, 18, 28947, 472, 2977, 10603, 371, 225, 69, 940, 1317, 2947, 359, 544, 371, 225, 69, 2110, 290, 3174, 3481, 292, 12477, 18, 2, 0, 37, 631, 34277, 1323, 7792, 5209, 291, 22568, 16, 11846, 2562, 459, 3665, 359, 225, 69, 1172, 17, 17887, 3254, 17, 41548, 3053, 326, 225, 88, 76, 73, 10160, 526, 21211, 11204, 291, 22913, 16, 7045, 18, 203, 37, 631, 7792, 5209, 291, 22568, 16, 11846, 2562, 318, 3765, 225, 88, 76, 73, 34277, 1323, 1773, 18, 3919, 709, 4359, 1310, 291, 225, 88, 76, 73, 4995, 20191, 2361, 18, 409, 2723, 16, 1318, 17, 26484, 17, 9381, 5209, 459, 14179, 346, 34277, 1323, 352, 87, 2605, 21211, 3313, 291, 22913, 16, 7045, 16, 290, 459, 339, 225, 69, 1172, 17, 17887, 3254, 17, 41548, 3053, 286, 723, 3665, 543, 19671, 2453, 225, 88, 76, 73, 4316, 22568, 1389, 18, 203, 521, 631, 3053, 459, 1760, 527, 286, 49454, 3419, 290, 459, 787, 33256, 7678, 359, 641, 292, 34277, 1323, 352, 87, 5791, 286, 10059, 5264, 18, 409, 17982, 459, 568, 548, 346, 1491, 1518, 8038, 286, 2314, 709, 16903, 34145, 999, 16903, 23095, 1670, 5443, 2707, 1095, 18, 203, 6, 47, 387, 1357, 292, 310, 17, 11052, 18, 689, 988, 371, 13232, 286, 3919, 34277, 1323, 526, 11936, 286, 543, 22568, 2024, 346, 225, 69, 3736, 38101, 2605, 1185, 18, 203, 1109, 14100, 10976, 4848, 424, 787, 388, 225, 88, 1007, 1395, 19699, 3838, 18, 616, 31036, 459, 1508, 6496, 519, 6133, 3274, 423, 531, 43553, 11486, 290, 5846, 431, 6025, 34277, 1323, 21118, 281, 1573, 359, 1014, 326, 2459, 1175, 7068, 388, 1175, 4271, 619, 602, 18, 409, 1167, 2418, 13694, 1324, 4359, 325, 6133, 292, 1175, 4665, 388, 543, 290, 5708, 2697, 326, 1621, 3413, 325, 25288, 290, 2639, 14791, 18, 203, 7148, 1302, 16, 34277, 1323, 20349, 225, 69, 631, 29570, 317, 1350, 29261, 25619, 16, 21002, 2562, 4856, 286, 709, 2605, 21211, 8626, 291, 22913, 16, 7045, 31, 12722, 12793, 16, 37316, 19689, 290, 8221, 2409, 16, 16768, 18, 6480, 1637, 318, 291, 225, 88, 76, 73, 2016, 291, 225, 88, 76, 73, 12382, 1389, 16, 290, 34277, 1323, 3077, 3909, 7792, 4797, 291, 1589, 3341, 16, 11478, 2562, 290, 15294, 16, 35900, 18, 203, 37944, 4099, 2372, 11689, 11717, 14342, 754, 225, 69, 2825, 5135, 1185, 16, 290, 2340, 384, 16, 10731, 4783, 1518, 5636, 811, 225, 69, 2692, 292, 16978, 4590, 16, 17235, 17, 2959, 34277, 1323, 318, 1911, 18, 832, 325, 409, 24899, 2313, 16, 26410, 12722, 1313, 352, 87, 2079, 1241, 292, 225, 88, 76, 73, 1174, 1518, 290, 3333, 2564, 12390, 291, 2217, 3146, 18, 2, 0, 53, 12524, 13021, 9753, 4108, 290, 14168, 6477, 932, 378, 4636, 469, 43958, 427, 25894, 325, 225, 69, 6231, 1512, 286, 1227, 631, 5819, 326, 23361, 286, 3289, 709, 6145, 897, 920, 2401, 4007, 396, 48, 16096, 13, 2726, 13825, 1123, 27241, 18, 203, 44, 4636, 469, 43958, 16, 225, 69, 9298, 292, 13825, 43958, 1123, 27241, 16, 19753, 286, 894, 548, 325, 225, 88, 76, 73, 1123, 11080, 1512, 291, 225, 69, 2669, 292, 2039, 16, 6176, 319, 315, 77, 82, 1828, 3715, 76, 296, 2705, 28937, 18, 203, 33143, 76, 296, 928, 378, 4636, 469, 43958, 290, 23361, 13021, 9753, 4108, 16, 573, 10727, 225, 69, 1648, 10668, 292, 43958, 7273, 366, 16, 371, 19435, 3317, 291, 573, 544, 882, 3847, 225, 69, 13825, 11080, 16, 20279, 2027, 3146, 290, 3686, 17, 5752, 6266, 359, 7769, 12813, 18, 203, 8460, 43958, 7203, 23361, 16, 573, 318, 291, 225, 88, 76, 73, 16494, 292, 225, 69, 21587, 6384, 345, 36864, 650, 15221, 17681, 290, 609, 6509, 3984, 2150, 21587, 290, 3766, 2477, 346, 48939, 291, 1846, 2262, 16, 8300, 5799, 4174, 326, 3617, 1297, 1877, 359, 631, 10191, 423, 3610, 290, 225, 88, 76, 73, 1851, 2198, 14225, 527, 20147, 18, 203, 521, 7192, 13038, 1627, 15265, 225, 69, 2271, 17, 44131, 2397, 30828, 325, 631, 2551, 291, 2355, 290, 442, 1285, 6089, 19081, 706, 6965, 431, 38634, 325, 3407, 286, 5657, 43958, 6905, 431, 1872, 3159, 286, 2313, 2372, 24722, 225, 69, 602, 18, 203, 2691, 1648, 3760, 7665, 346, 2961, 889, 3124, 1846, 291, 225, 88, 76, 73, 1358, 7134, 16, 23361, 459, 659, 286, 19080, 3040, 3890, 326, 709, 43958, 18, 203, 6, 521, 2178, 3874, 2578, 442, 6010, 318, 286, 942, 631, 5819, 326, 1383, 267, 2829, 43958, 2670, 3715, 76, 296, 928, 18, 203, 521, 1868, 526, 43958, 9991, 23361, 6261, 290, 28846, 6261, 371, 449, 3274, 2912, 291, 225, 88, 76, 73, 2101, 18, 203, 521, 27241, 16, 573, 371, 568, 1712, 359, 13825, 4476, 290, 849, 287, 2634, 5014, 16, 371, 4189, 326, 4450, 3317, 6322, 1496, 286, 6433, 4007, 325, 5735, 18046, 18, 203, 29271, 779, 43958, 27241, 427, 40161, 806, 706, 225, 88, 76, 73, 595, 2318, 326, 631, 2024, 286, 1496, 3760, 290, 371, 568, 11284, 720, 3222, 2171, 17, 2959, 4797, 18, 203, 37, 1689, 5392, 3159, 2859, 291, 3527 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 54, 396, 46013, 1712, 359, 225, 88, 76, 73, 12848, 6393, 13, 396, 1057, 689, 9145, 21652, 587, 6, 573, 427, 225, 69, 14381, 3263, 16, 359, 225, 69, 1873, 292, 961, 15506, 291, 225, 88, 76, 73, 7741, 22885, 859, 203, 203, 521, 689, 41, 1588, 292, 1920, 2995, 8367, 290, 11754, 431, 225, 88, 76, 73, 374, 8523, 17, 916, 16, 318, 6931, 326, 8491, 291, 2485, 1920, 18, 203, 203, 1987, 203, 203, 3257, 2477, 1563, 7741, 22885, 1622, 203, 2107, 40166, 432, 33070, 43081, 1622, 9664, 2313, 11068, 292, 4530, 57, 7741, 22885, 396, 39274, 17, 11283, 13, 203, 2313, 806, 292, 3211, 7741, 22885, 203, 22349, 292, 225, 88, 76, 73, 7741, 22885, 396, 9288, 4792, 8250, 13, 203, 27294, 25875, 45342, 431, 6401, 19294, 291, 9708, 346, 225, 88, 76, 73, 3211, 23248, 33070, 4970, 203, 203, 11705, 23248, 33070, 4970, 2, 0, 56, 32869, 318, 225, 69, 24501, 291, 225, 88, 76, 73, 6065, 272, 4932, 291, 29161, 692, 296, 17, 39991, 285, 4125, 291, 32990, 4409, 18, 203, 203, 16177, 3299, 49696, 292, 13021, 1373, 93, 14036, 14223, 225, 69, 1864, 10136, 292, 225, 88, 76, 73, 26088, 383, 18598, 262, 291, 1260, 12934, 290, 544, 35755, 359, 225, 69, 4375, 4337, 20175, 18, 203, 203, 35370, 203, 203, 49034, 225, 203, 521, 15785, 292, 225, 88, 76, 73, 1565, 689, 56, 32869, 6, 371, 1146, 9181, 517, 1380, 1303, 423, 225, 88, 76, 73, 2764, 1816, 689, 6898, 2995, 573, 882, 339, 3305, 286, 225, 88, 76, 73, 19724, 292, 225, 88, 76, 73, 4227, 423, 573, 1981, 423, 5392, 286, 5000, 81, 291, 1260, 12934, 18, 18598, 262, 1013, 286, 339, 1740, 8453, 1473, 3971, 18, 203, 203, 6355, 1563, 203, 16713, 2285, 1335, 345, 291, 1260, 12934, 2167, 5064, 2560, 3024, 6060, 26286, 294, 11, 39991, 285, 4125, 396, 43, 4863, 38942, 13, 11145, 290, 1825, 1584, 225, 88, 76, 73, 14811, 555, 396, 58, 1365, 805, 859, 203, 203, 5733, 2107, 2446, 3299, 16, 18598, 262, 1013, 286, 339, 225, 69, 3911, 24893, 30961, 18, 203, 203, 18438, 225, 203, 56, 32869, 318, 2558, 291, 4409, 16, 291, 29161, 692, 296, 17, 39991, 285, 4125, 291, 225, 88, 76, 73, 6065, 272, 4932, 16, 1689, 389, 1018, 225, 34836, 11784, 2065, 754, 225, 88, 76, 73, 4227, 952, 357, 318, 641, 292, 225, 88, 76, 73, 689, 27511, 77, 82, 486, 2193, 460, 5477, 6, 396, 2854, 13263, 5477, 6187, 859, 203, 203, 13480, 225, 203, 1926, 318, 225, 69, 4218, 1204, 291, 18598, 262, 31, 2375, 1528, 658, 1148, 806, 1367, 427, 286, 3818, 1378, 1204, 2558, 291, 9655, 7166, 18, 1238, 318, 568, 225, 69, 4107, 1204, 1358, 286, 225, 88, 76, 73, 4218, 1204, 18, 203, 203, 46011, 4700, 1563, 203, 1926, 318, 279, 1367, 6681, 1577, 290, 225, 69, 1958, 88, 76, 17, 4577, 689, 24710, 33495, 1812, 296, 2256, 6, 3042, 18, 203, 203, 21430, 225, 203, 829, 18598, 262, 660, 318, 225, 69, 2746, 2595, 225, 69, 22072, 396, 84, 1812, 7889, 3673, 13, 8575, 16, 9915, 10857, 16, 290, 225, 69, 504, 225, 18902, 2595, 16, 225, 69, 8930, 17, 8705, 2595, 290, 225, 69, 7775, 2595, 18, 203, 203, 3591, 568, 203, 3244, 272, 292, 225, 88, 76, 73, 6065, 272, 4932, 203, 203, 1987, 203, 203, 3257, 2477, 203, 56, 32869, 16, 449, 264, 4227, 203, 203, 33649, 292, 6065, 272, 396, 16275, 2075, 13, 2, 0, 5616, 15257, 244, 71, 364, 3889, 77, 225, 318, 225, 69, 7613, 24501, 396, 92, 12765, 13, 290, 4227, 292, 225, 88, 76, 73, 1294, 2015, 13308, 4010, 292, 1294, 421, 8692, 9879, 16, 8438, 18, 601, 318, 2558, 3620, 431, 2441, 423, 755, 6404, 89, 40043, 15257, 244, 71, 18, 409, 1179, 4227, 292, 2570, 15257, 244, 71, 364, 3889, 77, 7689, 1509, 225, 88, 76, 73, 5428, 3290, 18, 203, 203, 33649, 292, 1294, 421, 8692, 9555, 203, 18844, 3152, 291, 1294, 421, 8692, 9555, 2, 0, 521, 6336, 1233, 5043, 2361, 17334, 2746, 962, 7167, 1233, 5043, 2361, 1495, 359, 225, 69, 2260, 292, 225, 88, 76, 73, 40948, 17011, 6654, 396, 11209, 2710, 13, 1154, 225, 88, 76, 73, 6336, 14817, 5669, 314, 17, 8654, 2746, 1569, 18, 20871, 431, 8821, 88, 76, 17, 2996, 1357, 3561, 18247, 14067, 16, 225, 88, 76, 73, 17334, 36174, 279, 3758, 1514, 292, 1136, 1180, 22, 290, 225, 69, 1031, 292, 848, 1180, 21, 291, 4975, 748, 16, 290, 4615, 225, 88, 76, 73, 14521, 2710, 3525, 346, 7472, 2361, 18, 1233, 5043, 2361, 385, 6800, 286, 225, 88, 76, 73, 14817, 5669, 314, 17, 8654, 7202, 6263, 17767, 16, 827, 544, 2970, 286, 22029, 2763, 8924, 34069, 2361, 18, 409, 17334, 1825, 225, 69, 2532, 3559, 2746, 2763, 9287, 18, 203, 203, 18082, 203, 203, 54, 6848, 203, 203, 1987, 203, 203, 4742, 5043, 2361, 203, 4742, 5043, 2361, 17334, 2746, 6806, 203, 10363, 3559, 2746, 2763, 6122, 203, 10371, 11612, 17011, 6654, 2746, 8924, 6806, 203, 4742, 5043, 2361, 17334, 2746, 2, 0, 38808, 4142, 666, 783, 3188, 286, 30, 203, 14397, 292, 16, 423, 16, 388, 3305, 286, 225, 88, 76, 73, 1868, 292, 32330, 203, 10669, 292, 32330, 203, 4169, 15712, 292, 32330, 203, 37262, 292, 32330, 1947, 203, 32330, 666, 363, 333, 1458, 2764, 203, 31117, 292, 32330, 203, 32330, 666, 13299, 203, 203, 3591, 568, 6286, 9964, 19144, 388, 3194, 32330, 16, 225, 69, 2677, 3194, 11275, 405, 9133, 291, 3194, 2699, 4523, 203, 17112, 666, 16, 225, 69, 12833, 28365, 292, 9742, 32654, 261, 1039, 291, 225, 88, 76, 73, 1946, 88, 76, 290, 1124, 88, 76, 10227, 203, 17112, 1947, 396, 20404, 13, 203, 203, 27961, 290, 29839, 617, 19749, 4503, 2, 0, 6, 49, 743, 694, 322, 24491, 701, 6, 318, 225, 88, 76, 73, 7191, 17, 14081, 2013, 431, 3194, 6693, 6135, 694, 16818, 18, 19633, 14420, 431, 225, 88, 76, 73, 3911, 225, 6693, 22722, 69, 291, 11488, 16, 16818, 526, 2693, 16, 3055, 431, 225, 290, 5409, 5915, 3828, 2154, 633, 1172, 1388, 2843, 292, 225, 88, 76, 73, 7423, 87, 18, 203 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 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, 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, 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 ]
[ 1128, 34711, 203, 203, 24953, 397, 8334, 203, 203, 2173, 88, 76, 1128, 1305, 203, 203, 2721, 88, 76, 1128, 1305, 203, 203, 33690, 20770, 1128, 1305, 203, 203, 50, 13871, 1128, 1305, 203, 203, 4899, 20770, 1128, 1305, 203, 203, 42, 7234, 1128, 1305, 203, 203, 20418, 1128, 1305, 203, 203, 13624, 203, 203, 13624, 11652, 203, 203, 17182, 5229, 6924, 225, 203, 521, 479, 17, 8593, 962, 290, 6924, 643, 3823, 325, 2967, 2382, 2153, 18, 203, 203, 3001, 17, 8593, 962, 203, 203, 15603, 203, 203, 35808, 203, 203, 8460, 3203, 10176, 366, 203, 203, 1987, 203, 203, 3257, 2477, 6286, 203, 18606, 5134, 526, 528, 17, 916, 7268, 1459, 6263, 203, 18606, 5134, 526, 528, 17, 916, 7268, 1459, 6263, 203, 11705, 38620, 11031, 7462, 431, 16453, 203, 18606, 528, 17, 916, 203, 18606, 5134, 526, 528, 17, 916, 7268, 1459, 6263, 203, 21430, 291, 18321, 41564, 86, 2, 0, 5616, 2944, 16114, 49480, 468, 318, 279, 1644, 7063, 16, 910, 1712, 326, 225, 88, 76, 73, 2450, 292, 16841, 36087, 18608, 291, 225, 88, 76, 73, 12253, 6840, 7440, 3710, 663, 1138, 16, 290, 326, 519, 5090, 5132, 359, 11594, 291, 225, 88, 76, 73, 25146, 1909, 430, 30583, 567, 18, 203, 203, 10449, 203, 9024, 695, 468, 959, 519, 7398, 4796, 291, 2153, 16, 2561, 11594, 291, 225, 88, 76, 73, 25146, 4239, 1909, 430, 30583, 567, 291, 225, 88, 76, 73, 5268, 689, 521, 35373, 290, 15778, 3810, 292, 30260, 1542, 43988, 2776, 2602, 3723, 2656, 409, 1150, 602, 16, 458, 2533, 225, 69, 1179, 2450, 291, 225, 88, 76, 73, 12253, 6840, 7440, 3710, 663, 1138, 359, 16841, 36087, 18608, 18, 49480, 468, 504, 225, 69, 2450, 291, 225, 88, 76, 73, 1782, 26981, 8780, 13483, 19678, 40755, 290, 4518, 73, 36013, 18, 557, 2698, 1920, 16, 544, 643, 4078, 291, 225, 88, 76, 73, 2450, 292, 27040, 582, 291, 225, 88, 76, 73, 389, 6633, 57, 1782, 3260, 9312, 16, 13483, 389, 44563, 6875, 291, 225, 88, 76, 73, 3525, 2450, 18, 1108, 568, 4938, 359, 411, 552, 69, 291, 1569, 1560, 292, 225, 88, 76, 73, 25146, 1909, 557, 15020, 16, 573, 15905, 291, 1910, 18, 203, 203, 9024, 695, 468, 504, 652, 4078, 291, 5432, 9378, 933, 13483, 19771, 2426, 1323, 1077, 290, 25274, 467, 1630, 34119, 18, 203, 203, 10220, 969, 203, 9024, 695, 468, 318, 225, 69, 1928, 48570, 982, 292, 23012, 36123, 32076, 596, 5789, 527, 291, 6093, 18, 1238, 544, 643, 4895, 431, 225, 69, 2013, 3223, 16, 290, 644, 9556, 10323, 698, 798, 3074, 359, 225, 69, 1873, 292, 519, 7681, 290, 3593, 18, 4631, 910, 1279, 318, 225, 69, 3260, 1022, 3259, 18, 49480, 468, 504, 928, 345, 1966, 286, 449, 10323, 28110, 581, 479, 1928, 48570, 717, 961, 290, 306, 1256, 39582, 16, 357, 504, 652, 2298, 286, 942, 6460, 7398, 519, 884, 7681, 18, 1790, 16, 544, 643, 568, 2675, 286, 748, 225, 69, 46534, 19891, 2448, 291, 3710, 663, 1138, 16, 2123, 345, 225, 88, 76, 73, 984, 15010, 3260, 5966, 16, 573, 7792, 286, 624, 18, 1563, 203, 2091, 2262, 3275, 16, 1910, 16, 25726, 16114, 6807, 345, 544, 352, 264, 3974, 961, 7035, 286, 346, 458, 19, 34325, 6300, 544, 19, 621, 18, 203, 203, 30366, 203, 203, 15963, 203, 203, 19162, 203, 203, 1987, 203, 203, 3257, 2477, 9664, 203, 2866, 334, 17, 4577, 1644, 7907, 203, 4387, 4239, 7907, 203, 11244, 292, 3470, 16, 7365, 13285, 7692, 203, 6657, 1110, 423, 1063, 2229, 396, 5337, 13, 203, 34237, 7956, 423, 225, 88, 76, 73, 1851, 2198, 203, 15786, 4686, 203, 4387, 1782, 7907, 203, 6004, 717, 203, 61, 1081, 1925, 292, 20868, 7692, 203, 4387, 1928, 17, 48570, 7907, 203, 16960, 262, 7907, 203, 16960, 262, 3852, 203, 23260, 17, 4387, 7907, 203, 34237, 4958, 7218, 203, 2866, 334, 17, 4577, 4958, 17, 4387, 717, 203, 34237, 717, 423, 6093, 2, 0, 6685, 615, 14920, 290, 225, 88, 76, 73, 5528, 292, 957, 17835, 318, 225, 69, 12647, 4026, 262, 666, 2047, 16, 15227, 291, 1846, 1244, 17, 55, 10229, 666, 9626, 16, 8772, 291, 225, 88, 76, 73, 27635, 17, 55, 10229, 666, 2223, 396, 5991, 18, 2967, 334, 3503, 8625, 859, 203, 1266, 318, 554, 292, 225, 69, 1909, 292, 5983, 15041, 225, 88, 76, 73, 15510, 1133, 2433, 615, 14920, 16, 6199, 292, 834, 736, 17, 47, 362, 15646, 16, 290, 225, 88, 76, 73, 36077, 6199, 292, 957, 17835, 18, 203, 203, 8848, 357, 3158, 225, 69, 4026, 262, 666, 2047, 292, 225, 88, 76, 73, 689, 13103, 3204, 292, 47723, 2995, 290, 568, 7560, 2433, 615, 14920, 23453, 20015, 383, 6860, 333, 89, 290, 7093, 3070, 16, 357, 504, 16, 1364, 225, 88, 76, 73, 595, 292, 14828, 41193, 16, 652, 4809, 346, 225, 88, 76, 73, 12538, 292, 11838, 303, 10007, 291, 225, 88, 76, 73, 3949, 292, 23617, 18, 203, 203, 40617, 203, 23226, 225, 88, 76, 73, 3352, 292, 225, 88, 76, 73, 2047, 16, 225, 88, 76, 73, 1737, 3942, 318, 2758, 30, 689, 829, 1059, 1477, 292, 305, 399, 16, 650, 225, 88, 76, 73, 3221, 77, 29399, 643, 6601, 16, 225, 88, 76, 73, 891, 46238, 3842, 834, 736, 31887, 15646, 526, 430, 17, 2571, 286, 8708, 709, 1357, 864, 18, 33344, 16, 290, 12204, 25571, 290, 225, 88, 76, 73, 4716, 573, 4917, 7948, 294, 495, 1047, 34421, 643, 857, 4179, 291, 834, 736, 31887, 15646, 18, 6344, 225, 88, 76, 73, 2171, 292, 27526, 20854, 2162, 13659, 16, 225, 88, 76, 73, 430, 17, 2571, 292, 834, 736, 31887, 15646, 385, 761, 5141, 1556, 203, 203, 41, 17, 2571, 385, 225, 69, 10950, 291, 7093, 3070, 2387, 291, 13665, 292, 225, 88, 76, 73, 22665, 557, 9865, 16, 225, 88, 76, 73, 689, 80, 4091, 292, 479, 225, 88, 76, 73, 3931, 6, 1180, 12, 41, 17, 2571, 318, 1866, 3409, 292, 1294, 9098, 388, 1866, 25158, 1186, 292, 1294, 49513, 225, 17772, 16, 225, 88, 76, 73, 23786, 292, 957, 17835, 504, 3544, 27493, 291, 557, 9865, 526, 1565, 16, 517, 780, 1071, 449, 942, 442 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 623, 18464, 291, 225, 88, 76, 73, 5974, 290, 1185, 225, 88, 76, 73, 13236, 290, 7859, 345, 459, 744, 624, 1033, 290, 1156, 10832, 18, 203, 4945, 2512, 32295, 3020, 286, 225, 69, 1319, 292, 1046, 5361, 2172, 290, 2130, 318, 225, 69, 1241, 292, 29073, 2003, 754, 7440, 5003, 345, 408, 427, 2389, 290, 5846, 3077, 326, 2277, 203, 28053, 505, 484, 9118, 203, 4381, 262, 4911, 203, 38782, 2255, 203, 34911, 277, 2605, 10890, 203, 40, 569, 413, 383, 548, 203, 27661, 7818, 203, 20182, 277, 203, 5089, 1221, 40032, 203, 10220, 2707, 203, 4685, 18163, 3704, 203, 15568, 2473, 5320, 2548, 203, 4280, 29073, 7440, 2003, 5003, 479, 427, 383, 519, 5399, 225, 88, 76, 73, 2219, 961, 290, 225, 88, 76, 73, 745, 3044, 836, 292, 14492, 13186, 803, 5974, 318, 754, 225, 88, 76, 73, 787, 292, 7440, 18, 738, 836, 16, 1619, 13560, 424, 785, 527, 225, 88, 76, 73, 1986, 4603, 544, 427, 4148, 346, 1902, 38891, 325, 225, 69, 2692, 292, 4190, 18, 2519, 42538, 225, 88, 76, 73, 1619, 664, 442, 16, 408, 424, 3736, 4092, 286, 1229, 969, 2148, 290, 4047, 225, 88, 76, 73, 5579, 2245, 291, 519, 6455, 6460, 359, 225, 88, 76, 73, 1619, 27435, 18, 203, 7957, 3415, 352, 87, 3354, 318, 2190, 345, 352, 87, 1656, 479, 292, 531, 7440, 1653, 13689, 371, 6498, 21976, 290, 2389, 5655, 326, 531, 2277, 541, 359, 225, 88, 76, 73, 2388, 318, 1230, 11517, 545, 290, 5107, 18, 2, 0, 1744, 12801, 5195, 396, 29451, 292, 225, 88, 76, 73, 1816, 689, 1744, 12801, 5195, 6, 318, 225, 69, 1452, 27624, 11704, 423, 225, 88, 76, 73, 1761, 13, 318, 959, 291, 8185, 290, 357, 318, 554, 292, 225, 88, 76, 73, 2190, 5930, 291, 225, 88, 76, 73, 1297, 18, 640, 12801, 5195, 318, 225, 69, 1968, 20319, 41310, 337, 15093, 16, 14050, 16, 7428, 744, 17, 406, 396, 12380, 359, 27760, 388, 12523, 13, 290, 568, 225, 69, 7925, 29407, 282, 1214, 3687, 291, 554, 5, 30406, 290, 15724, 7523, 292, 16900, 16, 1709, 286, 1973, 290, 3881, 319, 7108, 2898, 396, 1325, 388, 823, 1308, 1053, 4172, 5640, 318, 2505, 13, 595, 290, 2611, 7207, 2241, 760, 595, 18, 26884, 2396, 946, 3267, 2955, 286, 1770, 797, 2277, 383, 225, 88, 76, 73, 1150, 595, 431, 797, 13651, 18, 2060, 292, 225, 88, 76, 73, 11820, 16, 7207, 290, 24540, 1646, 291, 225, 88, 76, 73, 1297, 1660, 573, 14374, 595, 290, 7380, 6705, 326, 1040, 1512, 388, 7758, 18, 5052, 1787, 2003, 31941, 16, 3955, 1344, 2003, 388, 3955, 291, 17, 8651, 2003, 5003, 371, 568, 1349, 18, 5329, 524, 225, 88, 76, 73, 1324, 1344, 3907, 2003, 4520, 326, 640, 12801, 5195, 526, 20319, 41310, 337, 15093, 326, 225, 88, 76, 73, 3687, 4471, 16, 36397, 16, 1032, 10325, 290, 16900, 9090, 290, 225, 88, 76, 73, 2450, 292, 640, 12801, 5195, 526, 2145, 520, 1660, 5, 2, 0, 31472, 10976, 414, 18, 10976, 2243, 3954, 30, 34553, 278, 445, 706, 225, 88, 76, 73, 40475, 1067, 352, 4037, 774, 19167, 7202, 9300, 30, 6168, 384, 203, 32694, 7469, 34553, 203, 31472, 10976, 414, 18, 10976, 2451, 2243, 3954, 30, 34553, 278, 445, 706, 225, 88, 76, 73, 40475, 1067, 352, 4037, 203, 9692, 1557, 3335, 728, 326, 3715, 3184, 352, 87, 9161, 18, 203, 3462, 5790, 67, 3532, 1077, 36, 23783, 12137, 71, 27684, 13152, 1260, 16, 2451, 16, 685, 30, 6011, 3288, 33533, 203, 4696, 442, 1806, 203, 4696, 442, 325, 3814, 203, 4696, 442, 325, 5491, 203, 4696, 1558, 4615, 2530, 203, 4696, 1558, 4615, 2530, 326, 30, 7942, 10976, 414, 18, 10976, 2451, 2243, 3954, 30, 34553, 278, 445, 706, 225, 88, 76, 73, 40475, 1067, 352, 4037, 203, 38405, 203, 46428, 203, 42906, 3136, 203, 7412, 203, 8323, 48779, 1586, 17, 17185, 30624, 6610, 203, 10608, 225, 88, 76, 73, 3498, 17, 2455, 1419, 658, 225, 88, 76, 73, 40475, 1067, 16, 1660, 352, 87, 1305, 385, 279, 18472, 16, 5375, 7498, 326, 10976, 4329, 18, 601, 385, 279, 24940, 345, 289, 620, 3863, 624, 785, 286, 225, 88, 76, 73, 28572, 17, 17048, 1477, 292, 305, 399, 1641, 5518, 16, 2616, 16, 314, 1940, 1641, 15461, 10976, 385, 5322, 9029, 286, 942, 225, 69, 1419, 1584, 225, 88, 76, 73, 430, 47, 57, 40475, 1067, 18, 203, 1200, 1305, 905, 449, 427, 652, 2405, 18, 203, 32694, 7469, 905, 449, 427, 3737, 359, 279, 3619, 359, 544, 979, 18, 8194, 18509, 34510, 519, 502, 225, 88, 76, 73, 7385, 2246, 715, 3190, 27407, 670, 9580, 6875, 318, 6824, 292, 18, 203, 24512, 16, 1660, 352, 87, 1305, 385, 225, 69, 2315, 21220, 286, 2029, 16, 290, 357, 3461, 352, 88, 715, 952, 292, 1228, 10976, 385, 1870, 3660, 18, 36924, 7915, 468, 8402, 2562, 17082, 32968, 16, 9981, 6906, 16, 290, 8496, 46119, 479, 8792, 7474, 1154, 225, 88, 76, 73, 1305, 16, 346, 7915, 468, 1902, 9046, 286, 225, 88, 76, 73, 26635, 1628, 326, 225, 69, 877, 25032, 292, 225, 88, 76, 73, 6213, 290, 6906, 7881, 522, 5516, 346, 554, 1361, 1736, 291, 225, 88, 76, 73, 1305, 18, 203, 5632, 16, 1912, 7915, 468, 1882, 785, 16, 357, 5300, 359, 691, 458, 385, 785, 286, 522, 1367, 2271, 18, 557, 225, 88, 76, 73, 1361, 2333, 16, 458, 385, 1912, 1001, 22072, 658, 21395, 16, 16501, 624, 286, 1353, 1220, 388, 543, 6787, 325, 950, 715, 286, 949, 950, 968, 18, 7915, 468, 3846, 346, 658, 2313, 19019, 8132, 290, 225, 69, 18703, 16, 225, 69, 543, 720, 4516, 7498, 18, 203, 5962, 4998, 7905, 326, 225, 88, 76, 73, 10976, 13154, 1706, 9580, 6875, 290, 1143, 4403, 512, 29151, 16, 346, 225, 88, 76, 73, 7641, 46569, 527, 18979, 8132, 325, 225, 69, 1162, 1142, 15048, 20840, 345, 3682, 10190, 225, 88, 76, 73, 14598, 291, 225, 88, 76, 73, 34553, 352, 87, 2507, 3080, 1631, 18, 29151, 1380, 339, 2110, 325, 225, 88, 76, 73, 7523, 7690, 16, 517, 458, 959, 225, 88, 76, 73, 745, 292, 225, 88, 76, 73, 2561, 595, 458 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 12886, 16, 225, 88, 76, 73, 1840, 6199, 4619, 4148, 292, 670, 644, 4527, 286, 522, 13286, 2974, 290, 11107, 286, 44628, 10523, 633, 7240, 290, 2067, 18, 1563, 203, 829, 2116, 12388, 16, 1154, 15541, 380, 700, 367, 352, 87, 2630, 602, 292, 13306, 16, 780, 2524, 225, 88, 76, 73, 6338, 292, 23972, 367, 396, 167, 232, 235, 41329, 259, 233, 13, 290, 378, 9108, 766, 73, 396, 166, 245, 239, 30096, 230, 259, 13, 291, 1583, 6788, 326, 633, 35087, 484, 3525, 18, 557, 1583, 6731, 16, 1154, 225, 69, 35956, 16, 225, 88, 76, 73, 3173, 5508, 292, 225, 88, 76, 73, 5096, 17, 21999, 30480, 225, 88, 76, 73, 9163, 292, 4622, 8706, 12164, 18647, 518, 396, 23682, 2938, 25078, 47659, 13, 325, 225, 88, 76, 73, 20443, 290, 782, 6770, 18, 203, 203, 521, 7296, 49089, 3904, 325, 2272, 2698, 1583, 1878, 383, 225, 88, 76, 73, 2184, 292, 16524, 1434, 421, 47905, 70, 477, 12436, 352, 87, 25638, 12436, 18, 203, 203, 4290, 318, 11002, 291, 1776, 263, 264, 1828, 396, 43, 700, 1918, 16, 23369, 16, 2027, 8185, 13, 346, 633, 4252, 290, 522, 724, 3564, 16, 7296, 15355, 469, 5928, 18, 203, 203, 12937, 203, 28224, 4327, 21604, 774, 25608, 8906, 396, 173, 255, 102, 173, 251, 102, 16, 24978, 113, 122, 166, 99, 100, 13, 203, 21604, 774, 25608, 28982, 396, 173, 255, 102, 172, 238, 122, 16, 24978, 113, 122, 166, 99, 251, 13, 203, 9589, 33018, 25608, 9331, 396, 2566, 3732, 696, 1260, 2355, 2116, 10266, 13, 396, 173, 255, 102, 174, 251, 121, 16, 24978, 113, 122, 166, 101, 248, 13, 203, 21604, 774, 25608, 378, 3014, 396, 173, 255, 102, 174, 248, 117, 16, 24978, 113, 122, 166, 257, 246, 13, 203, 21604, 774, 25608, 9402, 396, 173, 255, 102, 174, 230, 231, 16, 24978, 113, 122, 166, 256, 104, 13, 203, 21604, 774, 25608, 11576, 396, 173, 255, 102, 174, 239, 239, 16, 24978, 113, 122, 166, 256, 99, 13, 203, 377, 13, 4622, 10178, 33018, 25608, 4532, 17, 13917, 396, 2566, 6731, 696, 2116, 7264, 13, 396, 173, 255, 102, 173, 229, 125, 173, 229, 113, 16, 24978, 113, 122, 22013, 236, 166, 114, 114, 13, 1563, 384, 13, 3677, 17, 18800, 10178, 33018, 25608, 2408, 367, 396, 173, 255, 102, 171, 116, 102, 16, 24978, 113, 122, 166, 28884, 13, 396, 35, 774, 1814, 2209, 2116, 2905, 13, 203, 685, 13, 3677, 17, 9083, 17, 18800, 10178, 33018, 25608, 1776, 1828, 17, 40577, 396, 173, 255, 102, 173, 237, 122, 173, 235, 255, 16, 24978, 113, 122, 167, 236, 128, 170, 259, 233, 13, 396, 35, 774, 2272, 12721, 13, 203, 832, 13, 3677, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 25608, 8118, 477, 396, 173, 255, 102, 173, 115, 252, 16, 24978, 113, 122, 170, 252, 258, 13, 396, 35, 774, 2272, 13041, 13, 203, 848, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 25608, 332, 809, 17, 87, 3070, 396, 173, 255, 102, 173, 248, 235, 173, 235, 252, 16, 24978, 113, 122, 38162, 236, 167, 120, 244, 13, 203, 1025, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 25608, 2127, 396, 173, 255, 102, 172, 116, 117, 16, 24978, 113, 122, 168, 242, 102, 13, 396, 35, 774, 2272, 4457, 13, 203, 1148, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 61, 367, 4857, 396, 173, 255, 102, 173, 235, 255, 16, 24978, 113, 122, 168, 117, 247, 13, 203, 1188, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 25608, 48974, 17, 27939, 396, 173, 255, 102, 172, 116, 118, 173, 254, 243, 16, 24978, 113, 122, 166, 127, 107, 35601, 230, 13, 203, 1260, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 25608, 23784, 17, 1256, 73, 396, 173, 255, 102, 173, 230, 228, 171, 116, 231, 16, 24978, 113, 122, 166, 248, 233, 48654, 101, 13, 396, 35, 774, 10508, 21, 13, 203, 1148, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10898, 33018, 8925, 20754, 203, 1025, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10898, 33018, 8925, 2409, 203, 832, 13, 3677, 17, 9083, 17, 9083, 17, 18800, 10898, 33018, 8925, 20754, 203, 685, 13, 3677, 17, 9083, 17, 18800, 10898, 33018, 8925, 20754, 292, 225, 88, 76, 73, 389, 847, 700, 20754, 20472, 396, 172, 238, 106, 173, 249, 244, 25800, 256, 117, 173, 247, 106, 13, 203, 384, 13, 3677, 17, 18800, 10898, 33018, 8925, 9034, 292, 225, 88, 76, 73, 8118, 518, 11460, 9034, 20472, 396, 173, 115, 260, 173, 101, 125, 225, 174, 248, 255, 173, 247, 106, 5507, 25608, 2408, 367, 352, 87, 1361, 3564, 203, 377, 13, 4622, 10898, 33018, 8925, 6472, 292, 225, 88, 76, 73, 421, 618, 518, 6472, 20472, 396, 171, 116, 259, 173, 231, 114, 25800, 256, 117, 173, 247, 106, 13, 203, 8919, 33018, 20741, 14086, 3246, 422, 577, 12195, 261, 292, 225, 88, 76, 73, 8797, 32283, 478, 12195, 20472, 396, 173, 250, 113, 173, 248, 235, 172, 119, 227, 172, 119, 227, 30357, 121, 30593, 238, 117, 173, 249, 244, 25800, 259, 231, 173, 247, 106, 16, 24978, 124, 119, 38162, 236, 166, 123, 255, 32704, 109, 31441, 123, 30096, 126, 260, 170, 252, 126, 38434, 247, 113, 167, 113, 242, 13, 396, 2566, 2866, 774, 19192, 13, 203, 377, 13, 4622, 10178, 33018, 478, 12195, 478, 9108, 17, 2943, 73, 518, 396, 2566, 3732, 696, 1583, 2866, 13, 396, 173, 259, 231, 173, 100, 239, 172, 108, 232, 16, 38434, 247, 113, 45592, 243, 166, 244, 126, 13, 203, 377, 13, 4622, 10898, 33018, 8925, 20754, 292, 225, 88, 76, 73, 478, 12195, 11460, 20754, 20472, 396, 173, 259, 231, 173, 101, 125, 25800, 256, 117, 173, 247, 106, 13, 203, 203, 55, 26613, 4327, 28368, 3845, 33018, 25608, 45067, 17, 306, 396, 173, 255 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 7713, 2387, 291, 27636, 616, 10690, 225, 69, 3295, 16981, 16, 786, 8573, 16, 11013, 654, 13382, 18, 707, 715, 928, 16, 1392, 1200, 318, 357, 7318, 828, 943, 985, 1541, 942, 44955, 664, 345, 16, 874, 291, 225, 88, 76, 73, 11596, 23179, 87, 1076, 332, 797, 602, 13363, 857, 3938, 16, 42328, 225, 69, 11617, 17, 16230, 4245, 2595, 346, 225, 69, 1958, 17, 22751, 22072, 25801, 290, 1518, 2758, 431, 4995, 37883, 18, 203, 203, 829, 1408, 286, 709, 864, 17, 445, 1986, 290, 864, 17, 11035, 1787, 9366, 16, 12140, 11661, 318, 44111, 1858, 31082, 291, 7330, 290, 11827, 3722, 65, 7215, 3387, 18, 1099, 48471, 504, 6846, 16, 616, 4879, 2964, 5455, 2838, 1883, 7451, 18, 601, 526, 554, 909, 286, 18717, 286, 624, 346, 225, 69, 2211, 17, 4414, 1848, 16, 517, 357, 526, 2298, 650, 313, 2164, 15937, 479, 225, 88, 76, 73, 8573, 16, 13382, 16, 11850, 16, 6551, 16, 290, 1593, 13144, 18, 1558, 225, 88, 76, 73, 13549, 3091, 504, 286, 339, 7330, 4790, 12708, 18, 707, 2164, 2313, 9, 2109, 17, 16780, 18, 707, 352, 315, 1353, 291, 225, 69, 1171, 292, 2401, 1598, 16, 13691, 2410, 225, 88, 76, 73, 6249, 706, 650, 660, 526, 23265, 291, 225, 88, 76, 73, 1128, 18, 409, 28867, 290, 23597, 371, 479, 2110, 17, 5820, 18, 409, 3232, 318, 959, 292, 14983, 13736, 18, 707, 2164, 449, 5254, 654, 29876, 18201, 18, 707, 352, 315, 5515, 5828, 8042, 18, 707, 787, 1491, 5418, 18, 707, 787, 14983, 3156, 291, 531, 5999, 18, 601, 526, 823, 2645, 3794, 1076, 203, 203, 2091, 2429, 3143, 16, 2855, 16, 409, 1063, 2229, 6320, 4001, 345, 225, 88, 76, 73, 12140, 11661, 703, 339, 10383, 286, 9194, 9635, 290, 3023, 18, 1507, 2209, 1188, 16, 2730, 12140, 11661, 9194, 9635, 18443, 325, 225, 88, 76, 73, 27822, 346, 225, 88, 76, 73, 2595, 526, 9690, 11661, 437, 1465, 16, 6650, 12352, 437, 290, 1403, 4694, 16, 3938, 225, 69, 1162, 1477, 1708, 431, 225, 69, 1403, 984, 423, 26201, 47596, 290, 409, 30617, 18, 12140, 11661, 9194, 9635, 318, 225, 69, 384, 16, 1318, 17, 16230, 4245, 16, 797, 17, 16764, 16, 7410, 16121, 5209, 291, 279, 4920, 16, 1318, 5238, 1834, 3053, 1434, 45522, 53, 16, 43339, 1239, 10988, 526, 4783, 16, 7366, 290, 6560, 1803, 18, 557, 2730, 12140, 11661, 9194, 9635, 1825, 225, 88, 76, 73, 9194, 9635, 18301, 526, 6746, 11, 2947, 3325, 326, 3829, 7088, 36950, 18, 557, 2616, 12140, 11661, 9194, 9635, 385, 3249, 3829, 35208, 33181, 290, 3829, 8938, 20252, 36950, 291, 225, 88, 76, 73, 9194, 9635, 4931, 17, 25547, 616, 7146, 2924, 550, 6894, 18, 601, 568, 385, 3249, 3829, 7088, 4107, 36950, 291, 9194, 9635, 431, 8734, 3763, 34536, 18, 27946, 366, 427, 2765, 36510, 2699, 16, 5541, 4367, 16, 2212, 18641, 16, 10100, 526, 36936, 16, 3432, 411, 8400, 954, 10185, 16, 5358, 12034, 16, 45093, 39437, 287, 989, 16, 5413, 22166, 2143, 16, 34500, 428, 11, 31614, 16, 409, 4984, 5593, 13457, 16, 430, 732, 79, 1021, 8194, 89, 16, 7280, 7075, 3341, 16, 374, 3771, 74, 8639, 16, 409, 26784, 22743, 41245, 16, 16594, 272, 10372, 41951, 8018, 16, 38905, 16, 21567, 19621, 16, 1832, 14650, 35474, 16, 5358, 36394, 954, 409, 5595, 8018, 16, 12782, 18768, 954, 409, 428, 35267, 41221, 16, 49370, 335, 40272, 5737, 290, 15791, 83, 18, 203, 203, 37777, 8981, 11661, 3023, 318, 12665, 286, 225, 88, 76, 73, 14023, 15614, 18, 409, 7706, 2221, 1519, 20475, 292, 22072, 291, 225, 69, 5209, 345, 6019, 10030, 20390, 18, 409, 1063, 2229, 6320, 26348, 345, 48471, 644, 4862, 225, 69, 1583, 17, 2996, 12473, 346, 332, 24812, 16, 573, 14587, 225, 88, 76, 73, 14023, 18, 225, 12140, 11661, 3023, 2221, 819, 17, 1485, 2014, 1509, 346, 609, 2536, 1452, 16, 1027, 7810, 225, 88, 76, 73, 9690, 11936, 4203, 346, 225, 88, 76, 73, 2536, 12140, 11661, 16, 573, 22544, 9857, 504, 3249, 554, 292, 225, 88, 76, 73, 3829, 25749, 291, 3146, 290, 22071, 357, 225, 689, 582, 292, 225, 88, 76, 73, 745, 5754, 3152, 325, 5301, 18, 12140, 11661, 3023, 504, 652, 1316, 286, 2737, 14897, 17, 7285, 14970, 664, 48220, 8561, 6642, 16, 8925, 3388, 73, 8316, 410, 290, 6736, 4780, 6350, 1434, 709, 6502, 11058, 7849, 1803, 18, 601, 3909, 325, 2494, 1958, 16, 2730, 346, 225, 69, 1403, 984, 6650, 225, 88, 76, 73, 12140, 11661, 1558, 17, 25133, 16, 6650, 1592, 292, 12352, 437, 290, 3388, 27864, 287, 16, 3040, 423, 519, 1177, 325, 14299, 291, 393, 7060, 31547, 4168, 3852, 596, 427, 4938, 383, 225, 88, 76, 73, 7706, 1706, 3523, 1384, 82, 5180, 16, 3432, 411, 8400, 16, 8453, 570, 21743, 3776, 16, 6832, 15848, 6642, 16, 378, 812, 1034, 22508, 16, 40434, 2156, 8402, 2562, 14992, 27257, 885, 16, 19006, 985, 351, 2031, 16, 11156, 18070, 17437, 16, 351, 565, 83, 14264, 16, 528, 14375, 3996, 526, 48155, 16, 5358, 36394, 954, 409, 5595, 8018, 16, 32398, 2335, 5874, 27647, 8018, 290, 25075, 42160, 18, 12140, 11661, 526, 3023, 524, 13263, 385, 6040, 4673, 819, 1220, 806, 291, 2451, 18, 203, 203, 521, 19453, 7603, 203, 203, 1759, 368, 8530, 526, 1358, 1512, 1882, 286, 35715, 325, 2427, 832, 16, 2862, 650, 6092, 20504, 1837, 225, 88, 76, 73, 3232, 286, 1031, 225, 88, 76, 73, 307, 17, 29081, 292, 225, 88, 76, 73, 19453, 7603, 291, 3807, 18706, 16, 6303, 18, 409, 5209, 385, 2387, 291, 18369, 290, 2389, 431, 554, 292, 225, 88, 76, 73, 7099, 526, 3173, 10322, 15955, 16, 5442, 374, 18, 17269, 18, 601, 724, 2897, 787, 359, 225, 69, 7849, 1803, 291, 6799, 16, 7216, 7568, 431, 409, 1233, 7356, 10189, 16, 14589, 21735, 16, 2011, 293, 478, 404, 2417, 290, 798, 1761, 18, 9931, 225, 69, 19815, 887, 292, 225, 69, 1162, 806, 16, 225, 88, 76, 73, 5209, 3731, 225, 69, 5090, 41046, 291, 225, 88, 76, 73, 5969, 87, 346, 2719, 423, 363, 30159, 16, 14539, 49159, 16, 22285, 26306, 16, 26560, 16268, 290, 7568, 431, 409, 22544, 26224, 290, 3906, 30157 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 18, 2591, 292, 225, 88, 76, 73, 3872, 2212, 36639, 2970, 291, 3486, 643, 522, 3900, 4068, 350, 3224, 16, 522, 28904, 286, 11245, 10638, 526, 8017, 14548, 1486, 290, 16, 4722, 16, 522, 6981, 286, 10165, 1656, 458, 703, 744, 225, 69, 1317, 4115, 720, 10638, 18, 774, 7037, 30, 3906, 6529, 48038, 203, 42, 23376, 15530, 29171, 203, 7, 2566, 18, 1911, 2669, 708, 3900, 4068, 350, 709, 13281, 16, 1434, 6042, 16, 479, 385, 631, 1001, 326, 225, 69, 3565, 10068, 952, 357, 644, 12448, 524, 708, 286, 4659, 709, 2925, 292, 31408, 18, 1238, 774, 7037, 30, 9719, 4759, 45006, 17, 38, 618, 203, 7, 2173, 18, 601, 385, 26427, 1060, 633, 16, 1334, 6673, 203, 12957, 4357, 290, 709, 16095, 24693, 16, 780, 2004, 16, 709, 2647, 1363, 49004, 16, 225, 88, 76, 73, 34727, 292, 709, 3900, 4068, 350, 43978, 18, 774, 7037, 30, 28128, 10100, 8653, 203, 7, 2455, 18, 3791, 717, 1934, 286, 3307, 3946, 16, 2162, 225, 88, 76, 73, 11062, 292, 654, 10568, 388, 3946, 2513, 6625, 225, 69, 2925, 292, 34727, 290, 225, 88, 76, 73, 3900, 4068, 350, 1185, 292, 969, 345, 541, 798, 717, 17830, 581, 18, 774, 7037, 30, 9506, 37081, 203, 38, 2126, 298, 4433, 30260, 203, 7, 2419, 18, 996, 313, 4973, 398, 11111, 8204, 15210, 16, 857, 357, 526, 3900, 4068, 350, 290, 786, 1189, 286, 2029, 18, 774, 7037, 30, 3432, 9302, 323, 203, 16909, 40264, 31352, 203, 7, 1758, 18, 707, 479, 688, 225, 88, 76, 73, 1185, 292, 5673, 291, 3081, 3371, 30708, 532, 554, 927, 290, 3900, 4068, 350, 225, 88, 76, 73, 823, 1358, 18, 409, 2809, 318, 449, 2442, 408, 659, 286, 942, 225, 69, 543, 16833, 3081, 18, 774, 7037, 30, 28489, 13273, 76, 29014, 203, 4332, 8390, 10461, 393, 7677, 370, 433, 34989, 4068, 350, 25840, 203, 7, 916, 18, 996, 313, 371, 1870, 1334, 7021, 326, 1621, 290, 1342, 225, 69, 1229, 5875, 5791, 16, 357, 459, 16457, 698, 1334, 345, 20672, 225, 69, 5615, 290, 345, 504, 786, 4267, 286, 313, 18, 828, 783, 449, 821, 442, 16, 517, 313, 424, 339, 1336, 345, 225, 88, 76, 73, 1502, 459, 1156, 357, 290, 345, 544, 459, 2834, 398, 548, 291, 225, 88, 76, 73, 1150, 3900, 4068, 350, 225, 2, 0, 272, 904, 2452, 38689, 15740, 203, 3113, 325, 2429, 1148, 16, 2730, 431, 5314, 10426, 17, 55, 42810, 291, 4582, 16, 8508, 17, 43761, 20519, 16, 5362, 38411, 15761, 1669, 5032, 203, 28540, 596, 371, 3347, 581, 225, 88, 76, 73, 785, 17, 273, 17, 13250, 1569, 371, 8074, 286, 949, 225, 69, 764, 383, 225, 88, 76, 73, 30884, 290, 225, 88, 76, 73, 2980, 290, 6213, 673, 17, 13250, 3064, 3884, 383, 225, 88, 76, 73, 6736, 4558, 5129, 10492, 8242, 2916, 18, 21192, 346, 1528, 423, 38894, 754, 225, 88, 76, 73, 2184, 292, 2701, 371, 6800, 286, 2226, 225, 88, 76, 73, 30884, 290, 21163, 5209, 16, 573, 318, 2558, 325, 225, 88, 76, 73, 5314, 10426, 17, 55, 42810, 5671, 383, 34860, 8333, 3568, 291, 18786, 18, 203, 521, 6736, 4558, 5129, 10492, 8242, 2916, 2134, 5008, 17801, 326, 1040, 2184, 1275, 16, 423, 23724, 754, 1059, 8434, 673, 17, 13250, 18, 34777, 17, 26080, 5105, 371, 1349, 291, 1040, 8355, 290, 225, 88, 76, 73, 1103, 17, 33643, 10412, 48472, 286, 388, 24474, 1627, 4728, 18, 557, 1408, 286, 225, 88, 76, 73, 21820, 17801, 16, 660, 318, 279, 479, 17, 22771, 1628, 326, 3577, 9554, 748, 290, 5441, 12162, 16, 359, 761, 359, 225, 69, 7258, 1628, 326, 1059, 1528, 596, 783, 2377, 2923, 1154, 225, 88, 76, 73, 927, 18, 409, 3313, 318, 7482, 346, 797, 5008, 43284, 16, 554, 326, 6711, 286, 375, 290, 554, 326, 4438, 1528, 18, 4313, 1628, 504, 631, 3091, 16, 359, 761, 359, 2388, 8626, 326, 10657, 748, 16, 9421, 16, 4038, 16, 43384, 16, 4732, 290, 1257, 748, 16, 2576, 16, 290, 1452, 18, 203, 521, 6736, 4558, 5129, 10492, 8242, 2916, 16, 573, 504, 652, 3249, 819, 361, 18, 13518, 12622, 290, 9141, 10632, 14111, 12622, 16, 3667, 616, 26507, 28007, 550, 291, 479, 292, 709, 3064, 18, 616, 26507, 28007, 3058, 16310, 286, 946, 225, 69, 21163, 1167, 345, 12344, 1528, 1263, 5267, 2548, 290, 3058, 624, 286, 970, 16946, 1395, 5189, 19179, 5276, 1517, 375, 16, 3850, 17029, 383, 5314, 10426, 17, 55, 42810, 18, 616, 521, 17801, 371, 917, 527, 286, 1422, 3834, 286, 1040, 1103, 352, 87, 927, 16, 290, 286, 1369, 4646, 3901, 326, 1528, 16, 291, 12155, 346, 519, 1398, 292, 1750, 18, 409, 9764, 568, 7560, 3366, 291, 225, 88, 76, 73, 1167, 16, 290, 10576, 2388, 291, 16773, 16, 10533, 16, 4038, 16, 1670, 4206, 16, 225, 88, 76, 73, 6079, 16, 290, 2216, 1027, 5602, 1528, 352, 87, 1670, 290, 5875, 1750, 1076, 203, 829, 1408, 286, 225, 88, 76, 73, 13776, 9764, 16, 1504, 7647, 423, 225, 88, 76, 73, 1063, 7185, 5432, 8150, 366, 1167, 1182, 9772, 5650, 12162, 16, 2988, 17, 263, 2388, 2580, 290, 4027, 581, 7930, 286, 225, 88, 76, 73, 1528, 18, 409, 1063, 7185, 5432, 8150, 366, 371, 6025, 7647, 596, 2235, 225, 88, 76, 73, 38493, 1063, 7185, 23009, 34802, 8236, 32813, 24572, 291, 709, 3929, 286, 2611, 50232, 3064, 290, 1216, 286, 225, 88, 76, 73, 2639, 1502, 18, 7961, 16, 279, 5650, 1452, 1167, 326, 225, 88, 76, 73, 21163, 318, 2750, 291, 1750, 18, 203, 1109, 988, 371, 11434, 286, 339, 1316, 286, 1182, 1604, 26988, 1382, 290, 225, 69, 19389, 21163, 1167, 286, 225, 88, 76, 73, 1504, 291, 225, 69, 1627, 17, 1586, 17, 88, 76, 73, 17, 407, 1848, 1395, 6246, 29772, 21596, 17, 2428, 263, 16, 7563, 4136, 292, 5314, 10426, 17, 55, 42810, 18, 616, 2058, 2246, 318, 3281, 16, 531, 1637, 318, 2089, 16, 290, 225, 88, 76, 73, 9764, 408, 1182, 459, 2359, 345, 479, 292, 225, 88, 76, 73, 1528, 4265, 291, 531, 1028, 1973, 225, 88, 76, 73, 1670, 290, 5267, 2548, 544, 659, 286, 6675, 1076, 203, 521, 6736, 4558 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 383, 9619, 287, 318, 689, 69, 748, 581, 3197, 16, 359, 225, 69, 2084, 292, 14285, 905, 339, 1556, 15527, 1128, 291, 225, 88, 76, 73, 1240, 16, 4831, 17, 10610, 1504, 292, 9619, 287, 16, 11962, 16, 225, 88, 76, 73, 748, 526, 2797, 8626, 1060, 724, 19286, 6595, 292, 225, 88, 76, 73, 26740, 2446, 16, 225, 88, 76, 73, 15891, 292, 225, 88, 76, 73, 3194, 2913, 225, 88, 76, 73, 1104, 1323, 16739, 291, 42271, 16, 1712, 359, 225, 88, 76, 73, 8976, 292, 9619, 287, 18, 203, 203, 3591, 568, 203, 5174, 292, 5066, 290, 36935, 581, 225, 88, 76, 73, 1644, 10724, 203, 203, 1987, 203, 203, 22324, 5066, 2, 0, 521, 9784, 43214, 33580, 318, 225, 88, 76, 73, 1283, 77, 10566, 76, 396, 5548, 28876, 873, 543, 7169, 1740, 225, 88, 76, 73, 25566, 10566, 76, 8946, 2748, 18, 409, 1361, 745, 1263, 33580, 292, 225, 88, 76, 73, 27014, 3126, 318, 225, 88, 76, 73, 25169, 321, 10566, 76, 18, 5794, 292, 803, 3226, 292, 2695, 573, 385, 3055, 388, 34630, 431, 225, 88, 76, 73, 43214, 19789, 308, 18, 203, 203, 19021, 27014, 18027, 225, 88, 76, 73, 25566, 10566, 76, 8946, 2748, 388, 1283, 77, 11237, 10566, 76, 8946, 2748, 318, 543, 720, 715, 225, 69, 33580, 18, 27014, 3126, 1425, 442, 10566, 76, 396, 49243, 1184, 13, 286, 339, 225, 69, 2354, 25566, 18, 409, 15994, 2695, 22824, 2116, 1878, 4503, 290, 4730, 225, 88, 76, 73, 4607, 2824, 11353, 431, 225, 88, 76, 73, 16198, 292, 225, 88, 76, 73, 43214, 9214, 396, 88, 76, 73, 5841, 19789, 308, 292, 27014, 18027, 13, 290, 225, 88, 76, 73, 2824, 292, 1952, 609, 16755, 423, 609, 23528, 1315, 48355, 290, 7886, 18, 203, 203, 1759, 69, 438, 28846, 396, 19919, 566, 292, 11232, 13, 203, 203, 43, 12022, 10566, 76, 8946, 2748, 225, 203, 521, 9784, 43214, 33580, 318, 225, 88, 76, 73, 1283, 77, 10566, 76, 396, 5548, 28876, 873, 543, 7169, 1740, 225, 88, 76, 73, 25566, 10566, 76, 8946, 2748, 18, 409, 27014, 3126, 502, 449, 2672, 442, 359, 519, 689, 49243, 1184, 6, 517, 359, 519, 33619, 290, 1474, 689, 75, 12022, 2995, 3796, 388, 3997, 18, 601, 385, 1740, 1283, 77, 10566, 76, 1535, 25566, 32489, 695, 13852, 16, 225, 88, 76, 73, 23165, 290, 2243, 32145, 291, 2219, 1139, 16, 42542, 325, 357, 225, 88, 76, 73, 3525, 292, 225, 88, 76, 73, 32145, 291, 1946, 6643, 16, 819, 573, 357, 385, 1740, 11237, 25566, 10566, 76, 8946, 2748, 16, 388, 25566, 10566, 76, 8946, 2748, 326, 1700, 18, 409, 10566, 76, 504, 2116, 1878, 3109, 8946, 2748, 396, 700, 3769, 28102, 1364, 225, 88, 76, 73, 25566, 10566, 76, 8946, 2748, 318, 449, 225, 69, 1184, 517, 357, 318, 225, 88, 76, 73, 19655, 25566, 326, 27014, 3126, 13, 8553, 698, 10502, 14696, 18, 1558, 9626, 371, 3578, 10811, 18, 409, 27014, 3126, 371, 25646, 423, 1482, 654, 2684, 286, 225, 88, 76, 73, 2695, 1434, 442, 33580, 18, 203, 203, 521, 25566, 10566, 76, 8946, 2748, 385, 15189, 431, 25566, 957, 11879, 6315, 16, 225, 88, 76, 73, 8511, 32145, 292, 225, 88, 76, 73, 27014, 3126, 18, 409, 548, 292, 16987, 385, 1698, 291, 1958, 6163, 290, 3846, 291, 1958, 6788, 18, 409, 10566, 76, 16, 1740, 689, 24100, 448, 8946, 2748, 6, 431, 25566, 957, 11879, 16, 385, 5515, 383, 17930, 387, 347, 8946, 2748, 396, 17386, 292, 2203, 13, 346, 940, 8499, 18, 409, 29442, 7391, 25566, 10566, 76, 8946, 2748, 504, 225, 88, 76, 73, 2016, 292, 1025, 19789, 308, 1027, 225, 88, 76, 73, 8303, 14246, 2693, 504, 225, 88, 76, 73, 2016, 292, 1148, 49719, 1315, 554, 2496, 1517, 431, 25566, 2927, 32118, 18, 203, 203, 46, 368, 6435, 8946, 2748, 225, 203, 46, 368, 6435, 8946, 2748, 318, 225, 69, 43214, 9401, 16, 345, 5272, 383, 225, 88, 76, 73, 3352, 292, 225, 88, 76, 73, 25566, 10566, 76, 8946, 2748, 696, 225, 88, 76, 73, 33580, 290, 225, 88, 76, 73, 19655, 32145, 292, 225, 88, 76, 73, 27014, 3126, 18, 601, 385, 8772, 431, 25566, 16093, 480, 16, 225, 88, 76, 73, 7754, 292, 27014, 18027, 18, 601, 5795, 346, 351, 741, 1524, 1659, 290, 857, 1085, 8821, 283, 1618, 293, 396, 11792, 94, 287, 13, 290, 3500, 346, 225, 69, 2243, 4342, 477, 431, 25566, 3109, 317, 383, 225, 88, 76, 73, 991, 292, 442, 9203, 18, 409, 8821, 369, 12710, 287, 371, 291, 1046, 24994, 9478, 18, 203, 203, 46, 368, 6435, 8946, 2748, 318, 225, 88, 76, 73, 724, 9203, 292, 25566, 16093, 480, 16, 290, 318, 3285, 225, 88, 76, 73, 6312, 12347, 292, 27014, 18027, 18, 40808, 290, 14114, 342, 292, 478, 368, 6435, 8946, 2748, 318, 225, 88, 76, 73, 2218, 25566, 10566, 76, 8946, 2748, 18, 601, 318, 724, 361, 3166, 291, 30109, 5827, 18, 28991, 318, 25566, 16093, 480, 526, 23253, 325, 1866, 10475, 318, 2792, 8715, 11, 290, 670, 318, 225, 88, 76, 73, 3263, 292, 2203, 8904, 5502, 286, 13805, 36655, 296, 16, 357, 318, 2389, 326, 689, 49813, 42083, 661, 3362, 6, 290, 359, 225, 88, 76, 73, 724, 5182, 292, 3225, 48040, 9401, 326, 225, 88, 76, 73, 50233, 18, 601, 318, 225, 69, 39965, 1100, 291, 225, 88, 76, 73, 2980, 290, 4579, 15295, 291, 43214, 312, 12078, 7467, 287, 18, 601, 318, 568, 418, 8547, 291, 225, 88, 76, 73, 43214, 2322, 383, 225, 88, 76, 73, 9697, 22538, 34298, 7742, 290, 1154, 225, 88, 76, 73, 45540, 7742, 18, 203, 203, 38, 23583, 421, 12078, 287, 10255, 261, 203, 203, 58, 16414, 11384, 382, 421, 12078, 287, 318, 225, 88, 76, 73, 1565, 2123, 286, 225, 88, 76, 73, 3303, 1126, 261, 396, 354, 368, 1039, 13, 292, 2484, 431, 11384, 382, 421, 12078, 287, 30063, 18, 1108, 427, 652, 7035, 286, 359, 225, 88, 76, 73, 689, 10431, 286, 225, 88, 76, 73, 11237, 25566, 10566, 76, 8946, 2748, 6, 431, 25566, 957, 11879, 6315, 16, 225, 88, 76, 73, 8511, 43214, 32145, 18, 731, 385, 225, 88, 76 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 345, 225, 88, 76, 73, 23785, 1626, 291, 1635, 318, 34470, 18, 389, 9105, 277, 19645, 9017, 696, 9538, 225, 88, 76, 73, 384, 23720, 383, 1260, 269, 352, 17942, 290, 1148, 269, 352, 17942, 7968, 551, 45746, 18, 16124, 1246, 225, 88, 76, 73, 8728, 290, 6492, 18, 203, 7077, 685, 16, 2489, 383, 1136, 30, 3475, 714, 203, 18143, 39, 1858, 80, 8198, 65, 203, 15805, 16, 442, 504, 479, 292, 18291, 3183, 4131, 696, 225, 88, 76, 73, 4073, 6783, 16, 225, 88, 76, 73, 23266, 45738, 30, 292, 475, 17877, 3229, 225, 88, 76, 73, 7523, 17, 1586, 17, 3676, 909, 3461, 352, 88, 359, 20921, 16, 359, 357, 5156, 551, 3511, 286, 813, 286, 5792, 325, 225, 88, 76, 73, 616, 46877, 2714, 16439, 550, 1629, 292, 225, 88, 76, 73, 909, 18, 203, 7077, 685, 16, 2489, 383, 1136, 30, 2566, 714, 203, 1543, 1381, 339, 225, 69, 6317, 1452, 17, 9802, 290, 408, 371, 225, 88, 76, 73, 4200, 366, 292, 7343, 6, 4525, 453, 11, 1759, 1567, 637, 93, 203, 13997, 24024, 203, 13997, 10512, 203, 6047, 286, 19523, 13626, 203, 6047, 286, 19523, 13626, 203, 6047, 286, 19523, 13626, 203, 48722, 13626, 203, 6070, 31403, 1343, 1901, 203, 7624, 405, 32072, 203, 12749, 702, 32072, 13626, 203, 6047, 286, 32072, 13626, 203, 6047, 286, 32072, 13626, 203, 13997, 24024, 203, 13997, 10512, 1591, 4894, 3803, 8864, 4894, 3803, 203, 6047, 286, 32072, 13626, 203, 48283, 291, 32072, 203, 13997, 24024, 203, 13997, 10512, 1591, 4894, 3803, 8864, 4894, 3803, 203, 9558, 15779, 203, 68, 859, 1784, 12, 10944, 9069, 10633, 2575, 16315, 10633, 20500, 13, 20500, 13, 20500, 20500, 20500, 16, 2313, 5507, 2, 0, 1905, 4040, 16, 14693, 5287, 530, 225, 69, 21322, 5392, 40, 290, 1358, 1285, 16, 314, 714, 2158, 225, 69, 6436, 6994, 346, 225, 88, 76, 73, 9162, 21891, 4648, 18, 1236, 385, 658, 225, 69, 1162, 2754, 2376, 16, 408, 2704, 1060, 4244, 581, 6436, 696, 290, 1027, 314, 20310, 346, 3635, 16, 7049, 371, 527, 286, 2777, 18, 314, 3991, 346, 551, 7776, 3225, 290, 1244, 286, 5505, 5980, 18, 5682, 1980, 318, 1444, 292, 479, 5836, 292, 3635, 345, 715, 1331, 519, 325, 551, 3361, 16, 715, 4818, 326, 530, 286, 3031, 624, 18, 6420, 345, 1102, 203, 2628, 650, 428, 2436, 1113, 1114, 24132, 290, 2745, 691, 314, 703, 664, 286, 2072, 519, 5832, 16, 314, 385, 5766, 4572, 952, 519, 11920, 371, 543, 720, 225, 88, 76, 73, 3163, 2825, 1500, 5832, 16, 519, 2825, 11920, 371, 11158, 47434, 2964, 5, 35963, 35, 13669, 670, 35, 3783, 530, 5942, 1102, 203, 1200, 5832, 318, 4737, 286, 551, 1265, 17, 6172, 290, 424, 3517, 291, 4817, 3635, 314, 813, 18, 314, 424, 12645, 286, 551, 428, 2436, 2047, 290, 2395, 573, 5505, 3635, 314, 813, 357, 286, 3517, 18, 314, 424, 568, 1422, 551, 1201, 279, 2368, 2500, 286, 3433, 530, 3635, 345, 459, 984, 527, 325, 225, 88, 76, 73, 5832, 16, 2838, 12968, 36572, 35, 1009, 670, 318, 1317, 318, 660, 318, 786, 1310, 5388, 2573, 292, 225, 88, 76, 73, 5832, 3340, 18, 203, 10782, 406, 1837, 1060, 1136, 2239, 16, 442, 2765, 530, 1792, 225, 88, 76, 73, 428, 2436, 5832, 524, 292, 225, 88, 76, 73, 2770, 16, 9980, 277, 291, 225, 88, 76, 73, 1449, 696, 3082, 225, 69, 428, 2436, 2047, 16, 48816, 291, 225, 88, 76, 73, 5832, 16, 9770, 225, 88, 76, 73, 5832, 5157, 16, 290, 6524, 225, 88, 76, 73, 3635, 423, 1952, 1670, 2155, 5983, 345, 314, 2421, 286, 3385, 18, 409, 2647, 318, 891, 290, 225, 88, 76, 73, 2825, 1500, 5832, 318, 225, 88, 76, 73, 1819, 1408, 286, 531, 2354, 1628, 18, 203, 4000, 314, 385, 4572, 581, 4243, 15252, 3635, 396, 87, 317, 323, 16, 314, 770, 427, 225, 69, 1162, 3635, 292, 531, 5837, 1103, 7619, 6383, 696, 551, 29866, 643, 543, 4572, 720, 530, 18, 409, 724, 595, 544, 6674, 357, 16, 551, 832, 17, 2996, 17, 765, 34194, 616, 2860, 352, 55, 14112, 351, 4211, 27524, 5, 4530, 352, 55, 14112, 5128, 290, 857, 346, 760, 15771, 16, 616, 2860, 352, 55, 389, 29124, 61, 5128, 388, 616, 2860, 352, 55, 314, 46, 28167, 5128, 290, 442, 504, 4527, 6455, 326, 225, 88, 76, 73, 1172, 1302, 345, 408, 352, 315, 644, 225, 88, 76, 73, 5832, 29455, 291, 18, 203, 988, 959, 225, 88, 76, 73, 36881, 225, 88, 76, 73, 7428, 3053, 326, 225, 88, 76, 73, 2825, 5832, 16, 1364, 225, 88, 76, 73, 29866, 664, 357, 541, 940, 18, 738, 836, 2165, 424, 821, 225, 88, 76, 73, 3635, 16, 290, 225, 88, 76, 73, 286, 375, 424, 352, 88, 623, 286, 359, 2801, 18, 203, 4139, 352, 87, 225, 88, 76, 73, 1444, 26504, 325, 225, 88, 76, 73, 428, 2436, 7061, 4623, 29459, 30, 203, 9073, 398, 3635, 423, 225, 88, 76, 73, 9148, 203, 3001, 292, 398, 3635, 8702, 325, 225, 88, 76, 73, 9148, 30, 3814, 16, 13746, 14368, 16, 5505, 388, 654, 292, 398, 7433, 4089, 16, 371, 18577, 8954, 325, 554, 1709, 286, 787, 1167, 18, 828, 424, 874, 1496, 1907, 352, 3814, 290, 5505, 3635, 18, 1366, 313, 424, 915, 4076, 479, 803, 3635, 291, 554, 1128, 290, 18577, 1582, 2089, 14980, 76, 2014, 423, 654, 292, 398, 9618, 18, 203, 12663, 49182, 5408, 203, 521, 4580, 292, 225, 88, 76, 73, 18221, 9148, 29459, 318, 345, 357, 8718, 313, 1496, 290, 4188, 479, 398, 3635, 16, 786, 2669, 827, 544, 352, 264, 8702, 18, 2864, 9750, 624, 698, 225, 69, 38176, 696, 290, 691, 313, 813, 286, 744, 654, 2684, 313, 424, 13905, 16, 771, 388, 307, 4072, 225, 88, 76, 73, 3635, 2375, 313, 664, 696, 313, 427, 2315, 1945, 5, 203, 4696, 346, 1907, 290, 1201, 203, 37754, 346, 1907, 290, 3719, 2960, 318, 1709, 18, 4121, 313, 352, 315, 2267, 225, 69, 49182, 5408, 313, 715, 3433, 357, 286, 398, 29459, 16, 388, 654, 29459, 6581, 325, 398, 2047, 18, 203, 15782, 405, 4374, 329, 598, 203, 521, 29459, 424, 2801, 339 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 292, 13, 3670, 17, 13648, 6927, 18, 20941, 17, 77, 82, 5683, 955, 359, 5125, 16315, 290, 7245, 16315, 1234, 225, 69, 3907, 1139, 292, 7924, 6927, 16, 290, 603, 355, 7851, 504, 20909, 8682, 1364, 2693, 1188, 18, 20, 18, 603, 355, 7851, 318, 4794, 3055, 291, 279, 18794, 6927, 2296, 18, 203, 203, 58, 355, 49659, 424, 4051, 225, 69, 10305, 292, 3944, 17, 40382, 15272, 16, 517, 424, 568, 42654, 403, 15272, 388, 5683, 3055, 291, 603, 355, 7851, 326, 543, 3255, 5692, 18, 17091, 479, 15902, 396, 11314, 19641, 388, 543, 7169, 17936, 13, 292, 225, 88, 76, 73, 4674, 603, 355, 9112, 371, 3055, 291, 603, 355, 7851, 16, 517, 19641, 424, 568, 8588, 609, 7442, 664, 39281, 16, 16400, 16, 411, 5961, 16, 19858, 16, 316, 1756, 16, 225, 388, 33826, 311, 18, 1783, 19641, 424, 339, 5515, 13326, 16, 388, 754, 225, 69, 13635, 4651, 955, 359, 603, 594, 296, 16, 12792, 10158, 16, 388, 603, 355, 17, 3482, 736, 18, 203, 203, 58, 355, 7851, 4656, 371, 8702, 359, 9647, 2695, 16, 16260, 286, 609, 3414, 16, 290, 225, 88, 76, 73, 1105, 40814, 7898, 318, 2513, 1913, 90, 355, 18, 2060, 10218, 5053, 286, 345, 318, 603, 355, 526, 5979, 3552, 16, 1913, 90, 355, 38732, 18, 203, 203, 28020, 225, 203, 6, 738, 318, 225, 88, 76, 73, 23432, 2107, 1167, 291, 603, 355, 7851, 18, 203, 320, 923, 689, 11167, 16, 1004, 7137, 203, 203, 6, 738, 318, 225, 69, 2204, 1027, 9830, 291, 603, 355, 7851, 18, 203, 1517, 265, 3969, 377, 203, 6363, 265, 9441, 848, 6171, 17999, 689, 33557, 318, 6, 265, 6171, 1424, 265, 3763, 33, 377, 203, 445, 6363, 203, 367, 1517, 265, 203, 203, 47590, 225, 203, 50174, 2478, 385, 5758, 1349, 770, 325, 44290, 5237, 2557, 16, 603, 355, 504, 652, 2603, 282, 286, 798, 5237, 2557, 1315, 1898, 11074, 3724, 396, 88, 76, 73, 4720, 3161, 2517, 873, 42246, 1680, 16112, 16, 1397, 3724, 16, 46447, 16, 5722, 3300, 423, 5722, 26971, 685, 18, 21, 16, 9501, 19, 22, 16, 9501, 19, 49741, 16, 3584, 1813, 3724, 16, 5255, 58, 5102, 16, 1383, 50, 60, 16, 395, 25407, 9501, 16, 12495, 16, 361, 15318, 16, 290, 11841, 4095, 9501, 18, 225, 3728, 16, 603, 355, 318, 13226, 346, 760, 4500, 292, 5500, 34868, 18, 203, 203, 32554, 14089, 292, 603, 355, 371, 1349, 326, 6828, 290, 10735, 18, 203, 203, 4685, 628, 355, 1563, 203, 4685, 628, 355, 318, 225, 69, 15828, 292, 603, 355, 345, 21072, 286, 2147, 225, 88, 76, 73, 1904, 675, 2187, 290, 2734, 1691, 292, 603, 355, 18, 2591, 2134, 292, 225, 88, 76, 73, 15828, 1706, 2387, 17, 77, 82, 11910, 14685, 23233, 1118, 16, 290, 1118, 326, 40871, 1249, 411, 5961, 18, 2160, 628, 355, 504, 225, 88, 76, 73, 1150, 10496, 26881, 359, 603, 355, 396, 29856, 414, 355, 29, 87, 6067, 318, 1013, 5507, 4722, 225, 88, 76, 73, 1150, 10496, 3552, 424, 339, 1013, 346, 1119, 16249, 16, 3851, 660, 371, 5475, 7639, 291, 2840, 292, 2530, 18, 996, 225, 88, 76, 73, 2657, 2134, 292, 2160, 628, 355, 371, 449, 1013, 16, 2160, 628, 355, 318, 11683, 346, 2340, 479, 292, 603, 355, 526, 2134, 18, 203, 203, 521, 2160, 628, 355, 1512, 385, 1698, 291, 2730, 16, 346, 629, 603, 355, 1504, 1592, 4009, 1846, 1118, 292, 225, 88, 76, 73, 864, 17, 7285, 1478, 5584, 277, 3605, 286, 1369, 1317, 40871, 16, 19641, 16, 290, 8290, 346, 2875, 23810, 3987, 18, 225, 409, 1512, 318, 1324, 2597, 290, 709, 3481, 3414, 318, 1349, 325, 26949, 18, 203, 203, 4685, 628, 355, 644, 225, 69, 3141, 13614, 291, 2209, 2730, 16, 5602, 383, 2070, 554, 1444, 17, 2378, 9298, 18, 11605, 2290, 2285, 371, 811, 1750, 16, 1482, 787, 292, 2160, 628, 355, 526, 7975, 18, 203, 203, 521, 2160, 628, 355, 7042, 318, 1349, 291, 279, 30303, 10285, 21287, 19053, 16, 7462, 431, 21322, 607, 290, 629, 543, 10094, 5342, 7403, 16, 1482, 357, 1634, 286, 2096, 357, 325, 225, 69, 2692, 292, 5237, 2557, 18, 203, 203, 3591, 568, 12088, 8242, 225, 88, 76, 73, 2478, 290, 603, 355, 42921, 16, 225, 69, 14422, 1184, 326, 2478, 290, 414, 355, 16, 3179, 431, 453, 11, 41652, 5739, 203, 13304, 2391, 696, 225, 88, 76, 73, 26896, 1133, 2798, 292, 225, 88, 76, 73, 3446, 29935, 290, 2478, 396, 58, 355, 13, 2695, 16249, 203, 5174, 292, 2695, 16249, 203, 40154, 292, 2695, 16249, 203, 603, 355, 520, 1258, 203, 203, 1987, 203, 203, 3257, 2477, 12088, 6286, 203, 17802, 2597, 203, 6123, 11074, 2597, 203, 3111, 3724, 2695, 16249, 203, 32760, 4095, 9501, 2695, 16249, 203, 27331, 4038, 291, 225, 88, 76, 73, 9711, 203, 21799, 17, 32341, 1324, 2597, 203, 40, 3724, 2695, 16249, 203, 9073, 3552, 9179, 2991, 203, 9073, 2597, 25412, 291, 331, 203, 9073, 2695, 16249, 203, 18523, 2216, 291, 225, 88, 76, 73, 9711, 203, 41307, 2695, 16249, 203, 15809, 3724, 2695, 16249, 203, 49, 17223, 3724, 2597, 203, 11405, 58, 5102, 2695, 16249, 203, 3724, 19, 22, 2695, 16249, 203, 30249, 16230, 203, 57, 38130, 2695, 16249, 203, 21161, 203, 22828, 2695, 16249, 203, 21629, 16249, 345, 787, 15209, 47, 203, 9073, 14436, 16249, 203, 41307, 7209, 1750, 9050, 203, 44, 1339, 16249, 203, 9073, 7209, 1750, 9050, 203, 9073, 7209, 1750, 9050, 326, 16400, 203, 9073, 290, 1227, 17, 17613, 2597, 203, 6453, 387, 17, 945, 2597, 203, 3302, 10570, 3812, 2, 0, 61, 518, 6610, 5029, 396, 61, 3724, 37, 13, 318, 225, 69, 2746, 2595, 291, 30726, 9549, 16, 32330, 18, 601, 5066, 291, 225, 88, 76, 73, 1868, 526, 1174, 7053, 18700, 2060, 18, 203, 203, 6355, 225, 203, 61, 518, 6610, 5029, 385, 5141, 291, 4988, 431, 38548, 5485, 16, 225, 69, 2677, 2746, 25842, 18, 1456, 345, 595, 16, 357, 385, 225, 88, 76, 73, 770, 724, 7053, 962, 291, 225, 88, 76, 73, 15832, 10236, 292, 32330, 18, 577, 3724, 37, 7157, 13924, 286, 11521, 326, 3624, 17, 84, 31126, 16, 225, 88, 76, 73, 19125, 326, 17309 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 5843, 292, 225, 88, 76, 73, 3024, 7175, 17952, 6168, 318, 225, 88, 76, 73, 3062, 5549, 325, 3024, 7175, 4254, 346, 225, 88, 76, 73, 4995, 19010, 359, 225, 88, 76, 73, 3313, 292, 2949, 18, 409, 3062, 5549, 568, 2134, 31736, 18699, 290, 45165, 962, 290, 5403, 6965, 21474, 18, 6480, 5843, 292, 225, 88, 76, 73, 17952, 6168, 18014, 318, 225, 69, 17653, 292, 8521, 811, 225, 88, 76, 73, 8541, 12821, 9104, 18, 203, 203, 521, 29247, 1565, 292, 17952, 6168, 385, 5395, 286, 279, 8412, 290, 543, 8945, 1502, 1159, 10668, 2403, 291, 10584, 16, 291, 14640, 346, 16772, 2976, 21218, 16306, 1154, 225, 88, 76, 73, 1361, 1302, 292, 2485, 18, 4143, 857, 16, 225, 88, 76, 73, 1465, 504, 652, 2404, 1040, 602, 1154, 225, 88, 76, 73, 16772, 2976, 21218, 1342, 225, 69, 2182, 290, 9858, 709, 2399, 88, 76, 9018, 291, 4589, 18, 409, 1465, 318, 8192, 286, 5603, 658, 554, 2372, 717, 596, 2029, 225, 88, 76, 73, 1593, 984, 1509, 225, 88, 76, 73, 3024, 7175, 4254, 26922, 17949, 423, 225, 88, 76, 73, 26796, 7713, 286, 225, 88, 76, 73, 8541, 12821, 9104, 18, 409, 1465, 385, 21212, 326, 2855, 16, 1966, 286, 5620, 49155, 2148, 2562, 517, 385, 29247, 291, 2730, 16, 290, 4774, 286, 339, 279, 4230, 1465, 18, 203, 203, 13917, 7175, 17952, 6168, 2286, 203, 203, 38245, 2765, 30, 203, 203, 13917, 7175, 17952, 6168, 2153, 203, 203, 38245, 2765, 30, 203, 203, 13917, 7175, 17952, 6168, 1910, 203, 203, 13917, 7175, 17952, 6168, 4415, 819, 1920, 385, 14226, 1966, 286, 225, 88, 76, 73, 4311, 17, 916, 4707, 18, 203, 203, 38245, 2765, 30, 203, 203, 13270, 9302, 6044, 2664, 203, 1905, 543, 720, 452, 806, 16, 17952, 6168, 3807, 9302, 6044, 2664, 504, 652, 3689, 359, 225, 69, 9690, 1465, 326, 2027, 4941, 1040, 4618, 431, 25423, 454, 8220, 11515, 16, 225, 69, 1928, 17, 7014, 22911, 12, 71, 21508, 23, 859, 393, 59, 19059, 58, 2418, 279, 4230, 2516, 326, 4848, 286, 6338, 290, 6608, 26071, 816, 16, 28825, 290, 6532, 28039, 4063, 326, 519, 1310, 286, 519, 1868, 359, 761, 359, 6784, 724, 17, 5920, 225, 88, 76, 73, 3297, 7975, 292, 1660, 526, 2875, 22184, 18, 1591, 225, 88, 76, 73, 1118, 292, 14278, 290, 5275, 292, 6177, 292, 7647, 9854, 14466, 16, 20432, 290, 1310, 4057, 16, 393, 59, 19059, 58, 2221, 3379, 286, 1508, 11723, 2819, 290, 5770, 291, 225, 69, 2874, 2692, 292, 15371, 16, 28023, 290, 1504, 1310, 2580, 18, 19640, 2141, 1706, 30, 203, 203, 3001, 20627, 325, 21881, 20971, 4101, 4771, 16, 27867, 7819, 7835, 16, 4804, 11072, 15019, 16, 11041, 19416, 16, 34272, 15768, 20803, 12195, 16, 11041, 31354, 30209, 1703, 16, 5081, 81, 2829, 1703, 31921, 16, 5923, 225, 69, 17431, 22624, 14838, 16, 10493, 14838, 16, 43373, 11019, 3227, 16, 49286, 292, 225, 88, 76, 73, 4575, 32481, 290, 389, 569, 3170, 31921, 18, 203, 203, 521, 3062, 954, 7304, 5549, 385, 279, 4230, 1593, 984, 291, 37172, 18, 34698, 16, 4941, 291, 573, 4223, 290, 18890, 7568, 1837, 1128, 325, 225, 88, 76, 73, 1560, 7802, 7199, 292, 4240, 423, 18974, 2409, 286, 9194, 7102, 287, 22280, 18, 409, 984, 13659, 423, 7601, 1535, 3868, 18, 203, 203, 13270, 9302, 6044, 2664, 17952, 6168, 2286, 203, 203, 46396, 8521, 2765, 30, 203, 203, 13270, 9302, 6044, 2664, 17952, 6168, 2153, 203, 203, 46396, 8521, 2765, 30, 203, 203, 13270, 9302, 6044, 2664, 17952, 6168, 1920, 203, 2091, 2209, 1958, 16, 1920, 16, 17952, 6168, 385, 14226, 1966, 286, 225, 88, 76, 73, 4311, 17, 916, 4707, 18, 203, 203, 13270, 9302, 6044, 2664, 17952, 6168, 1910, 203, 42, 32172, 6168, 385, 14226, 1966, 286, 225, 88, 76, 73, 4311, 17, 916, 4707, 18, 203, 203, 13270, 9302, 6044, 2664, 17952, 6168, 2079, 203, 2091, 225, 2355, 2967, 2079, 16, 225, 88, 76, 73, 8220, 3823, 6324, 8521, 703, 339, 30, 203, 203, 3532, 2229, 2086, 203, 203, 4221, 16694, 12259, 644, 7089, 1063, 2229, 2086, 291, 225, 69, 45076, 5713, 4502, 785, 286, 225, 88, 76, 73, 22412, 292, 225, 88, 76, 73, 5706, 1180, 4387, 2446, 291, 23142, 16, 650, 39439, 4426, 47306, 385, 9858, 359, 225, 88, 76, 73, 8846, 292, 225, 88, 76, 73, 5269, 292, 23533, 4254, 18, 1790, 16, 225, 88, 76, 73, 724, 3131, 17952, 6168, 2483, 291, 1063, 2229, 2086, 291, 10201, 18, 17952, 6168, 291, 1063, 2229, 2086, 318, 4176, 31069, 286, 35431, 346, 225, 88, 76, 73, 9292, 2976, 5176, 4178, 18, 203, 203, 5733, 225, 88, 76, 73, 1063, 2229, 2086, 17952, 6168, 16, 8521, 371, 14419, 282, 383, 1063, 2229, 46797, 11041, 23606, 325, 225, 88, 76, 73, 15770, 3703, 325, 225, 88, 76, 73, 2699, 12341, 292, 225, 88, 76, 73, 23179, 292, 14537, 290, 568, 383, 29462, 13858, 291, 225, 88, 76, 73, 23179, 292, 46945, 4404, 18, 557, 2862, 16, 8521, 7089, 12140, 326, 225, 88, 76, 73, 724, 595, 16, 46998, 383, 225, 88, 76, 73, 23120, 11041, 23606, 18, 203, 203, 521, 2651, 292, 1727, 8220, 8521, 6324, 225, 88, 76, 73, 1830, 290, 961, 1227, 326, 9571, 2483, 291, 8973, 18, 13832, 17952, 6168, 8973, 2765, 225, 88, 76, 73, 6889, 12403, 225, 290, 14012, 807, 1913, 4168, 12259, 2765, 225, 88, 76, 73, 11139, 22891, 34346, 225, 290, 225, 88, 76, 73, 11139, 22891, 45424, 225, 290, 15717, 203, 47852, 17952, 6168, 8694, 9858, 225, 88, 76, 73, 10874, 300, 12683, 292, 225, 88, 76, 73, 37554, 292, 3296, 4426, 4365, 18, 32622, 12259, 2765, 225, 88, 76, 73, 6889, 12403, 225, 290, 225, 88, 76, 73, 332, 24812, 3048, 34346, 1913, 203, 203, 47852, 17952, 6168, 5969, 2765, 225, 88, 76, 73, 6889, 12403, 1913, 393, 40764, 8220, 290, 6532, 8630, 8521, 643, 641, 292, 225, 88, 76, 73, 8499, 573, 2765, 48711, 292, 225, 88, 76, 73, 10874, 300, 12683, 292, 225, 88, 76, 73, 1727, 6532, 8630, 18, 2630, 4230, 17952, 6168, 18, 603, 376, 1067, 2765, 225, 88, 76, 73, 6532, 8630, 2003, 2913, 16529, 16, 203, 203, 47852, 17952, 6168 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 409, 26193, 292, 3260, 11377, 25372, 16, 4061, 352, 87, 30989, 16, 1294, 18570, 292, 1195, 43880, 16, 290, 430, 18, 34841, 4490, 352, 87, 409, 2433, 354, 8547, 10022, 18, 430, 18, 34841, 4490, 352, 87, 13766, 10812, 19687, 643, 551, 13020, 16, 290, 314, 18017, 624, 326, 1579, 29583, 290, 1895, 81, 2224, 18, 314, 1919, 352, 88, 1015, 803, 32987, 30, 314, 7035, 286, 624, 359, 616, 81, 15002, 6737, 2929, 1076, 409, 6737, 4687, 286, 33113, 16, 4885, 16, 12267, 1528, 1584, 225, 88, 76, 73, 3942, 292, 10169, 969, 383, 225, 88, 76, 73, 2410, 292, 225, 88, 76, 73, 25096, 3503, 18, 9151, 2576, 7331, 18, 203, 10904, 30, 689, 20485, 5064, 6, 431, 14652, 1540, 3917, 1630, 203, 7322, 1124, 88, 76, 16, 2987, 431, 13391, 17197, 999, 1025, 5032, 6023, 203, 5548, 3179, 291, 1946, 10266, 16, 3917, 1630, 352, 87, 2630, 4738, 26172, 1060, 225, 88, 76, 73, 4087, 290, 33620, 11520, 5524, 292, 5790, 5064, 4518, 306, 412, 290, 633, 2405, 1201, 18, 409, 1806, 2569, 443, 754, 798, 34197, 291, 225, 88, 76, 73, 4518, 306, 412, 1201, 16, 745, 4835, 431, 48196, 16, 325, 225, 88, 76, 73, 3243, 286, 2792, 1246, 290, 1852, 90, 1505, 18, 1979, 225, 69, 3174, 894, 16, 1912, 479, 225, 88, 76, 73, 4190, 371, 4974, 290, 894, 286, 7587, 16, 3917, 1630, 44685, 225, 69, 26497, 1806, 18, 996, 313, 427, 5171, 430, 692, 2192, 290, 46955, 290, 371, 7416, 1675, 326, 543, 3917, 1630, 16, 5790, 5064, 459, 12309, 313, 18, 828, 568, 459, 339, 9452, 691, 313, 371, 225, 69, 10100, 45289, 4881, 290, 371, 10398, 581, 633, 12697, 18, 9151, 2576, 7331, 18, 203, 10904, 30, 689, 22789, 10461, 73, 6, 431, 4426, 44096, 203, 7077, 1583, 88, 76, 16, 2987, 431, 13391, 17197, 999, 384, 5032, 6023, 203, 5548, 3179, 291, 31224, 16, 9312, 10461, 73, 318, 917, 291, 225, 88, 76, 73, 7613, 12042, 1504, 292, 378, 597, 80, 1534, 291, 1946, 4271, 18, 409, 7913, 8626, 1060, 1560, 4190, 290, 225, 88, 76, 73, 906, 700, 1214, 4507, 8889, 624, 18, 409, 39823, 2449, 318, 225, 69, 761, 17, 49363, 1840, 37631, 596, 318, 291, 1246, 346, 225, 88, 76, 73, 2838, 43014, 702, 17556, 3813, 18, 43014, 702, 291, 2410, 318, 291, 1246, 346, 225, 88, 76, 73, 4449, 11835, 2882, 338, 281, 425, 596, 7465, 633, 6781, 517, 504, 786, 37427, 16467, 18, 30209, 1021, 14184, 16, 43014, 702, 352, 87, 14757, 290, 225, 69, 19506, 37468, 16, 318, 4974, 1846, 325, 290, 4515, 225, 69, 25613, 2449, 1689, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 4738, 18, 9151, 2576, 7331, 18, 203, 6, 50, 422, 593, 1323, 19432, 6, 4931, 431, 24359, 203, 7077, 1148, 88, 76, 16, 2987, 431, 24359, 17197, 999, 848, 5032, 6023, 203, 37, 30694, 593, 1323, 19432, 27718, 352, 87, 16654, 2693, 1380, 427, 3682, 530, 1545, 225, 88, 76, 73, 46284, 292, 225, 88, 76, 73, 8341, 16, 573, 1882, 225, 49932, 383, 530, 541, 2823, 314, 43229, 3583, 670, 2843, 530, 18, 1911, 8341, 504, 2498, 530, 359, 940, 431, 6683, 1364, 314, 987, 22493, 881, 476, 378, 15813, 352, 87, 409, 3260, 351, 812, 18, 738, 318, 449, 286, 1335, 345, 314, 1919, 352, 88, 1508, 551, 724, 10032, 698, 10100, 45289, 18, 1790, 16, 357, 1427, 530, 9140, 708, 225, 69, 13856, 5313, 882, 1620, 955, 225, 69, 25613, 5835, 291, 225, 88, 76, 73, 3360, 292, 225, 88, 76, 73, 1806, 290, 18386, 314, 644, 3955, 543, 2949, 383, 709, 10206, 18, 1832, 1229, 2809, 346, 225, 88, 76, 73, 8341, 385, 345, 314, 8982, 325, 629, 1398, 670, 4527, 16, 517, 225, 88, 76, 73, 18200, 82, 275, 892, 385, 449, 31299, 524, 326, 530, 359, 314, 3855, 357, 286, 339, 18, 738, 318, 449, 541, 940, 225, 69, 11574, 292, 10100, 45289, 359, 357, 318, 292, 551, 291, 41062, 291, 2576, 10100, 45289, 18, 9151, 2576, 7331, 18, 203, 10904, 30, 689, 23177, 8890, 87, 292, 225, 88, 76, 73, 4368, 292, 13359, 29545, 77, 19374, 6, 431, 37053, 4250, 261, 203, 4644, 1124, 88, 76, 16, 2987, 431, 18781, 999, 685, 5032, 6023, 203, 5548, 3179, 291, 49279, 16, 803, 42337, 643, 3055, 431, 225, 88, 76, 73, 724, 8085, 17, 77, 82, 17, 9108, 1614, 286, 7296, 13359, 29545, 77, 19374, 292, 4409, 18, 37053, 4250, 261, 2154, 2405, 286, 225, 88, 76, 73, 7296, 1154, 633, 1124, 806, 291, 1310, 18, 2325, 42337, 3402, 45966, 2840, 292, 225, 88, 76, 73, 3225, 969, 383, 225, 88, 76, 73, 10701, 3696, 359, 761, 359, 29349, 225, 88, 76, 73, 2141, 292, 225, 88, 76, 73, 10724, 423, 225, 88, 76, 73, 10701, 1201, 352, 87, 5976, 18, 458, 43437, 87, 371, 3055, 541, 345, 313, 424, 1156, 633, 22703, 290, 821, 633, 2792, 17415, 286, 225, 88, 76, 73, 10701, 2735, 18, 2325, 2296, 318, 41673, 16, 29667, 290, 823, 16732, 31, 780, 4917, 225, 88, 76, 73, 3696, 286, 969, 18, 9151, 2576, 7331, 18, 203, 10904, 30, 689, 521, 38673, 6, 431, 17862, 42893, 2822, 3917, 1724, 203, 4644, 832, 88, 76, 16, 2987, 431, 7079, 4825, 18816, 999, 1188, 5032, 6023, 203, 5548, 3179, 291, 20968, 16, 409, 38673, 5795, 346, 225, 88, 76, 73, 5993, 292, 6340, 93, 16, 225, 69, 42903, 665, 423, 1063, 2229, 16, 286, 7661, 32932, 596, 4562, 2542, 7218, 517, 504, 6221, 4793, 633, 326, 633, 1621, 18, 5877, 291, 3994, 16, 458, 36664, 633, 44180, 290, 9877, 1535, 780, 6138, 658, 745, 292, 633, 1621, 286, 950, 18, 731, 568, 9975, 706, 6340, 93, 352, 87, 8310, 346, 633, 1201, 18, 34880, 806, 1708, 16, 6340, 93, 352, 87, 5597, 21742, 23530, 6340, 93, 783, 339, 7661, 32932, 352, 87, 6048, 290, 5455, 524, 286, 10613, 633, 18, 9151, 2576, 7331, 18, 203, 10904, 30, 689, 8897, 4071, 16654, 6, 431, 26252, 8125, 1720, 203, 4644, 377, 334, 16, 2987, 431, 24359, 17197, 999, 384, 5032, 6023, 203, 14594, 32423, 16, 225, 69, 2399, 17, 2996, 5993, 16, 571 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 2616, 383, 832, 30, 2866, 714, 203, 1266, 385, 2212, 5625, 700, 10008, 286, 1422, 955, 225, 69, 864, 395, 2301, 15046, 286, 1928, 11007, 717, 952, 544, 23185, 950, 18, 601, 318, 225, 69, 21220, 650, 544, 225, 2616, 383, 848, 30, 2566, 714, 203, 521, 745, 3067, 11007, 568, 427, 286, 3385, 519, 2955, 292, 36827, 11628, 291, 522, 19, 341, 18823, 291, 1374, 286, 11178, 225, 88, 76, 73, 11652, 18729, 18, 409, 13260, 1822, 423, 554, 352, 87, 12077, 291, 1281, 2332, 291, 1046, 2172, 292, 1382, 18, 828, 874, 1335, 544, 1620, 225, 69, 21220, 650, 544, 27473, 952, 544, 13996, 225, 69, 4316, 4337, 1966, 286, 519, 2955, 286, 787, 345, 4514, 1584, 18, 332, 4514, 225, 69, 30613, 86, 7356, 44344, 478, 700, 664, 313, 703, 6405, 770, 291, 225, 88, 76, 73, 5546, 1598, 359, 313, 715, 3867, 18, 314, 714, 1036, 286, 1026, 39782, 670, 313, 3867, 286, 14183, 517, 423, 225, 69, 5546, 14181, 18, 203, 15871, 203, 2852, 203, 7906, 10453, 6119, 203, 7065, 3436, 16, 2616, 383, 1148, 30, 7298, 714, 203, 18957, 12611, 1230, 16, 314, 1033, 22592, 366, 371, 14893, 519, 13182, 650, 544, 8548, 225, 88, 76, 73, 1150, 9990, 290, 389, 2437, 69, 1565, 18, 1266, 318, 1792, 823, 823, 12933, 290, 26541, 18, 203, 15871, 203, 2852, 203, 43, 267, 16860, 203, 7065, 3436, 16, 2616, 383, 377, 30, 6036, 3242, 203, 1543, 1033, 18, 761, 1209, 325, 3347, 819, 479, 709, 715, 225, 69, 13070, 2004, 38058, 18, 203, 15871, 203, 2852, 203, 43, 267, 16860, 203, 7065, 3436, 16, 2616, 383, 832, 30, 6078, 714, 203, 3804, 2365, 7483, 346, 442, 5437, 3142, 693, 4992, 225, 69, 1889, 1248, 940, 325, 225, 88, 76, 73, 5546, 18, 203, 15871, 203, 2852, 203, 56, 275, 273, 1379, 34236, 847, 203, 7065, 3436, 16, 2616, 383, 832, 30, 4665, 714, 203, 683, 954, 16360, 24295, 700, 72, 285, 31, 203, 4459, 6917, 735, 3298, 35693, 35693, 394, 21541, 715, 14918, 443, 292, 225, 88, 76, 73, 4383, 2764, 32514, 70, 345, 1723, 8353, 30, 203, 550, 3264, 996, 10605, 643, 8703, 16, 339, 3585, 1239, 703, 5111, 3264, 550, 696, 2896, 2935, 5, 203, 1371, 398, 10605, 644, 652, 27886, 314, 2466, 8077, 44492, 17, 14444, 703, 427, 652, 13409, 431, 915, 696, 517, 4084, 2203, 398, 2824, 371, 715, 5113, 292, 7756, 12134, 1482, 225, 88, 76, 73, 745, 7743, 18, 203, 1021, 1021, 3192, 12066, 69, 5, 203, 1647, 225, 69, 4927, 292, 616, 12749, 702, 5215, 12164, 1423, 19808, 3291, 45805, 4366, 13081, 286, 1119, 292, 313, 5, 203, 38, 620, 277, 927, 954, 309, 576, 581, 670, 318, 3543, 3785, 398, 9905, 4767, 18, 203, 25150, 431, 377, 982, 203, 2852, 203, 7906, 10453, 6119, 203, 7065, 3436, 16, 2616, 383, 848, 30, 4309, 714, 203, 2177, 504, 286, 1626, 522, 1565, 286, 47304, 388, 7592, 81, 2417, 18, 203, 15871, 203, 2852, 203, 43, 267, 79, 1479, 203, 7065, 3436, 16, 2616, 383, 848, 30, 7122, 714, 203, 9813, 5409, 28516, 26049, 28564, 318, 225, 69, 7972, 1258, 4669, 13155, 700, 30034, 335, 20412, 1473, 596, 3373, 4342, 6516, 290, 2051, 10705, 77, 2391, 1342, 654, 1374, 423, 2304, 18, 203, 4274, 1013, 519, 2078, 16088, 290, 744, 519, 884, 6133, 650, 531, 17356, 6316, 643, 5588, 291, 478, 15016, 664, 544, 643, 449, 2027, 21032, 627, 6316, 431, 28104, 27864, 814, 1504, 292, 17325, 700, 19, 16902, 2687, 18, 203, 43, 267, 26049, 16, 616, 43, 267, 18238, 861, 5583, 550, 427, 928, 225, 88, 76, 73, 5160, 16, 2027, 21032, 459, 1411, 339, 225, 88, 76, 73, 1150, 1001, 16, 225, 88, 76, 73, 28104, 27864, 1486, 1504, 292, 1623, 663, 69, 19, 6775, 700, 19, 16902, 401, 292, 531, 23914, 424, 1842, 290, 2207, 760, 1657, 325, 225, 88, 76, 73, 6881, 1315, 6826, 46711, 346, 531, 2508, 1621, 517, 383, 225, 88, 76, 73, 991, 408, 459, 10136, 624, 26032, 366, 19, 88, 76, 5833, 18, 203, 25150, 431, 377, 982, 203, 2852, 203, 683, 203, 7065, 3436, 16, 2616, 383, 848, 30, 1791, 714, 203, 40, 356, 847, 203, 988, 371, 2586, 286, 5419, 2925, 698, 398, 9684, 517, 313, 2471, 449, 286, 1973, 2425, 18, 1543, 371, 225, 88, 76, 73, 770, 42085, 395, 694, 79, 3667, 286, 2810, 522, 12561, 7522, 16, 6687, 9423, 596, 16558, 18, 203, 15871, 203, 2852, 203, 56, 275, 273, 1379, 34236, 847, 203, 7065, 3436, 16, 2616, 383, 1148, 30, 2419, 714, 203, 21298, 313, 6449, 941, 595, 2376, 691, 345, 318, 398, 9871, 8724, 18, 203, 1543, 25441, 323, 1934, 286, 26401, 21385, 573, 318, 6979, 18, 203, 1356, 1030, 318, 554, 290, 13646, 696, 528, 424, 3804, 744, 388, 6394, 21385, 18, 601, 715, 14834, 3020, 18, 203, 8252, 41213, 1011, 78, 736, 342, 954, 32722, 35608, 292, 3067, 12267, 12488, 318, 786, 2736, 3497, 291, 225, 88, 76, 73, 1660, 352, 87, 4967, 1159, 631, 17, 10341, 1374, 18, 203, 521, 1374, 19, 19732, 345, 3269, 2420, 286, 4885, 319, 18, 55, 457, 261, 459, 744, 1336, 345, 442, 2431, 300, 4418, 318, 6488, 431, 6900, 388, 431, 9832, 477, 18, 203, 1543, 459, 2415, 4619, 2969, 3190, 696, 408, 395, 291, 225, 88, 76, 73, 3960, 292, 225, 88, 76, 73, 47472, 26436, 16, 2223, 18, 203, 3595, 16, 691, 2030, 5856, 19, 23117, 19, 1102, 313, 1565, 624, 27320, 16, 34315, 7049, 18, 203, 15796, 28516, 72, 22798, 318, 279, 2650, 73, 30186, 423, 2304, 286, 723, 3250, 225, 88, 76, 73, 430, 18, 23260, 7904, 292, 225, 88, 76, 73, 1063, 2107, 1374, 292, 12058, 6964, 3993, 326, 479, 319, 18, 21032, 15345, 18364, 18, 203, 25150, 431, 377, 982, 203, 2852, 203, 38, 17037, 89, 7902, 16414, 203, 7065, 3436, 16, 2616, 383, 1025, 30, 7272, 714, 203, 43, 267, 16860, 16, 203, 45, 5536, 346, 313, 18, 12940, 902, 1381, 991, 442, 19987, 36379, 291, 225, 88, 76, 73, 1150, 836, 544, 4810, 21130, 754, 2271, 17, 72, 36734, 18, 428, 9057, 3695, 39279, 524, 291, 478, 15016, 290, 291, 2027 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 519, 3198, 352, 87, 1621, 18, 40259, 28044, 1723, 345, 3029, 783, 949, 4817, 544, 813, 292, 519, 3198, 352, 87, 1621, 16, 2442, 544, 371, 291, 659, 388, 449, 18, 203, 5753, 359, 1118, 326, 225, 69, 4436, 5441, 318, 41094, 286, 225, 69, 3198, 596, 504, 11734, 1817, 16, 357, 318, 24169, 325, 225, 69, 5441, 596, 504, 225, 88, 76, 73, 1817, 286, 1118, 522, 3198, 596, 318, 4436, 18, 40259, 28044, 1723, 345, 691, 225, 69, 3198, 318, 292, 2184, 290, 504, 786, 4526, 16, 458, 318, 9430, 286, 339, 5350, 431, 522, 3223, 18, 203, 13277, 326, 4436, 14292, 431, 519, 29806, 1959, 318, 225, 69, 3508, 292, 940, 16908, 1133, 6586, 18, 2591, 1335, 345, 357, 318, 770, 1966, 359, 225, 69, 2669, 292, 16135, 286, 14292, 18, 409, 358, 17, 1759, 27010, 11, 77, 1204, 292, 2813, 85, 76, 1335, 345, 955, 1118, 318, 24169, 325, 225, 69, 4449, 982, 286, 522, 3223, 290, 19250, 292, 654, 1398, 16, 290, 286, 1528, 290, 29393, 292, 654, 1398, 16, 517, 357, 318, 449, 225, 69, 8414, 3785, 803, 18, 409, 4152, 8822, 1204, 292, 2813, 85, 76, 1335, 345, 4708, 318, 1966, 286, 3223, 16, 2974, 16, 3198, 290, 4159, 770, 18, 601, 318, 449, 225, 69, 8414, 286, 1118, 19466, 388, 15545, 18, 996, 3029, 388, 1528, 371, 292, 225, 69, 1046, 9214, 16, 357, 318, 1146, 1966, 18, 409, 9034, 2195, 77, 1204, 292, 2813, 85, 76, 1425, 4708, 225, 69, 8414, 24169, 325, 225, 69, 9703, 596, 318, 291, 1817, 286, 522, 4436, 14292, 5334, 458, 703, 339, 9430, 286, 20895, 16, 691, 544, 371, 291, 1817, 18, 1108, 4722, 5021, 357, 286, 225, 88, 76, 73, 3993, 292, 27034, 18, 7082, 225, 69, 982, 783, 20895, 16, 458, 318, 568, 8414, 5483, 286, 1422, 1118, 18, 7985, 544, 744, 4715, 721, 675, 34682, 346, 12690, 18, 9146, 3993, 371, 5033, 26907, 431, 2608, 10373, 18, 203, 1266, 318, 568, 225, 69, 8414, 286, 764, 819, 554, 352, 87, 4839, 16, 3267, 624, 1796, 1518, 290, 3258, 286, 1766, 16863, 18, 996, 458, 9030, 1438, 286, 502, 541, 16, 225, 88, 76, 73, 22036, 500, 1067, 950, 286, 2459, 2734, 388, 3289, 388, 25680, 624, 18, 996, 458, 4774, 286, 16219, 286, 23219, 522, 5810, 16, 225, 88, 76, 73, 22036, 2569, 225, 88, 76, 73, 3046, 2797, 18, 409, 29880, 396, 36448, 339, 2971, 950, 13, 1723, 30, 1392, 37, 3259, 385, 30577, 325, 2047, 292, 16976, 277, 225, 69, 3632, 1535, 780, 3904, 18, 1099, 225, 69, 1873, 16, 780, 16013, 10043, 18, 7710, 12600, 225, 88, 76, 73, 3632, 16, 780, 979, 449, 1422, 633, 1518, 16, 6202, 979, 780, 1424, 633, 9761, 286, 3835, 292, 670, 225, 88, 76, 73, 5301, 2221, 7318, 731, 568, 1723, 30, 1392, 37, 563, 385, 5179, 1509, 522, 836, 650, 458, 385, 3895, 41877, 18, 731, 1882, 527, 286, 225, 69, 761, 290, 458, 1981, 968, 286, 3258, 18, 1605, 458, 1882, 527, 16, 458, 1100, 225, 69, 2460, 283, 21541, 18, 409, 2460, 4938, 823, 41877, 16, 46001, 225, 88, 76, 73, 4732, 18, 409, 563, 2004, 30, 616, 1200, 2460, 318, 359, 41877, 359, 314, 385, 225, 69, 1700, 1027, 2376, 1076, 731, 4477, 1981, 968, 225, 88, 76, 73, 761, 1001, 16, 5162, 522, 12334, 346, 1257, 16, 2404, 357, 291, 522, 5465, 16, 1981, 785, 527, 290, 3269, 225, 88, 76, 73, 1257, 286, 225, 88, 76, 73, 2460, 286, 3258, 18, 23823, 385, 7483, 346, 950, 290, 731, 6227, 401, 950, 522, 25342, 7318, 203, 521, 29880, 352, 87, 396, 36448, 339, 2971, 950, 13, 11849, 677, 928, 30, 1392, 51, 28915, 292, 23823, 16, 459, 408, 339, 20290, 326, 670, 408, 502, 286, 531, 4839, 16935, 731, 928, 30, 1392, 1543, 427, 225, 69, 6533, 326, 1995, 313, 502, 326, 225, 69, 2354, 16564, 18, 203, 264, 1667, 203, 45, 13122, 1866, 3894, 9362, 82, 16, 995, 17, 34226, 86, 358, 17, 49, 27664, 2492, 16, 2103, 18, 384, 16, 283, 18, 1188, 10526, 31, 358, 17, 47, 324, 570, 358, 17, 50108, 1636, 2166, 16, 43055, 2166, 358, 17, 49, 13472, 88, 1286, 16, 2103, 18, 685, 16, 283, 18, 46363, 18, 203, 45, 13122, 16362, 81, 16, 995, 17, 49, 13472, 25667, 16, 2103, 18, 1136, 18, 203, 55, 4158, 85, 16, 2813, 85, 76, 358, 17, 14464, 37559, 16, 2103, 18, 384, 16, 12357, 18, 48365, 1180, 3819, 18, 203, 10616, 203, 44304, 290, 36710, 203, 11663, 203, 8678, 20978, 203, 6314, 2813, 85, 76, 346, 995, 17, 44, 512, 353, 999, 4898, 16997, 203, 1553, 30, 32721, 1899, 353, 995, 17, 44, 512, 353, 203, 8678, 17766, 203, 24190, 16997, 203, 1553, 30, 8298, 3186, 7337, 2916, 203, 1989, 16997, 318, 658, 203, 1553, 30, 8298, 3186, 7337, 2916, 203, 35895, 3227, 11924, 286, 225, 88, 76, 73, 35723, 666, 203, 1553, 30, 8298, 3186, 7337, 2916, 203, 3187, 746, 1216, 203, 4459, 1709, 836, 286, 2, 0, 287, 471, 34083, 203, 6520, 377, 292, 225, 88, 76, 73, 11014, 995, 2492, 46598, 203, 14150, 264, 30, 4860, 19745, 19, 27906, 575, 203, 5270, 12168, 40692, 30, 203, 40, 1239, 471, 12168, 1411, 2004, 633, 724, 3240, 1843, 26179, 703, 2731, 225, 88, 76, 73, 2654, 292, 633, 5643, 18, 1218, 857, 780, 10104, 352, 88, 3855, 286, 1620, 225, 88, 76, 73, 724, 982, 286, 744, 1976, 346, 28055, 2459, 18, 15238, 82, 4793, 16, 41124, 290, 2970, 325, 225, 88, 76, 73, 34639, 32559, 292, 225, 69, 22177, 20920, 1598, 17, 22817, 423, 5803, 16, 225, 88, 76, 73, 770, 982, 780, 424, 2410, 286, 318, 633, 47689, 631, 4372, 18, 203, 37, 33901, 2126, 524, 3180, 16, 458, 318, 715, 359, 3976, 359, 389, 1239, 471, 18, 1461, 4757, 431, 522, 717, 290, 9029, 286, 9320, 16, 225, 88, 76, 73, 1172, 909, 458, 633, 5751, 16, 3780, 383, 225, 88, 76, 73, 45072, 23860, 18, 203, 6, 59, 277, 2670, 780, 32569, 5365, 290, 633, 10044, 1100, 633, 12502, 526, 1032, 18, 1236, 30712, 31245, 720, 780, 5984, 16, 517, 6763 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 42118, 587, 203, 203, 29898, 27498, 3849, 203, 203, 6923, 886, 203, 203, 42118, 587, 203, 203, 29898, 18195, 7819, 3849, 292, 6072, 5452, 1180, 8876, 203, 521, 7986, 18195, 7819, 3849, 292, 6072, 385, 2267, 431, 23814, 30285, 43320, 249, 1872, 26, 292, 2209, 1814, 16, 5452, 18, 225, 601, 385, 30621, 290, 7209, 698, 225, 88, 76, 73, 7738, 292, 20741, 10689, 431, 23814, 30285, 43320, 249, 44832, 292, 1589, 4600, 16, 2489, 18, 203, 203, 6923, 886, 203, 203, 42118, 587, 203, 203, 29898, 21655, 3849, 292, 6072, 8169, 1180, 12891, 203, 203, 29957, 325, 1872, 2698, 8169, 286, 6500, 225, 88, 76, 73, 21655, 8630, 3849, 292, 225, 88, 76, 73, 556, 6698, 1737, 225, 88, 76, 73, 15918, 292, 225, 88, 76, 73, 8670, 4970, 16, 225, 88, 76, 73, 7986, 21655, 3849, 292, 6072, 9069, 11013, 15795, 225, 69, 7134, 18, 225, 601, 385, 2123, 1444, 23615, 431, 3296, 26325, 49105, 375, 77, 82, 291, 279, 3605, 286, 3881, 225, 88, 76, 73, 1420, 292, 225, 88, 76, 73, 556, 6698, 16, 517, 385, 307, 18464, 698, 225, 88, 76, 73, 631, 7986, 6639, 3849, 325, 1814, 2209, 5452, 431, 3296, 23660, 23125, 290, 14070, 225, 88, 76, 73, 21655, 8630, 3849, 292, 225, 88, 76, 73, 29024, 38, 292, 225, 88, 76, 73, 5316, 11228, 31220, 225, 409, 7986, 21655, 3849, 644, 709, 884, 6924, 41849, 286, 1627, 6924, 18, 225, 1783, 6924, 16, 3851, 915, 29224, 286, 339, 291, 1695, 346, 225, 88, 76, 73, 6924, 292, 225, 88, 76, 73, 29024, 38, 16, 4458, 4842, 291, 225, 88, 76, 73, 1374, 292, 44989, 292, 225, 88, 76, 73, 29024, 38, 290, 9414, 325, 225, 88, 76, 73, 11410, 292, 673, 5452, 17941, 18, 203, 203, 6923, 886, 203, 203, 49168, 8194, 2186, 203, 203, 29898, 9375, 326, 5425, 14001, 290, 6131, 396, 42, 3864, 16659, 13, 8338, 1180, 12891, 203, 5548, 2267, 431, 38534, 17026, 16208, 2815, 291, 8338, 423, 225, 88, 76, 73, 49546, 292, 556, 6698, 1011, 17, 16275, 22090, 1737, 225, 88, 76, 73, 15918, 292, 225, 88, 76, 73, 8670, 4970, 290, 857, 8172, 9911, 279, 4885, 1310, 291, 8169, 16, 225, 88, 76, 73, 7986, 9375, 326, 5425, 14001, 290, 6131, 16, 1712, 359, 393, 3864, 16659, 16, 644, 709, 884, 6924, 41849, 286, 1627, 6924, 18, 1783, 6924, 371, 4842, 2130, 346, 519, 9163, 6133, 18, 1783, 6924, 16, 3851, 915, 29224, 286, 339, 291, 1695, 346, 225, 88, 76, 73, 6924, 292, 225, 88, 76, 73, 393, 14121, 290, 29024, 38, 1364, 393, 3864, 16659, 526, 4988, 20822, 346, 225, 88, 76, 73, 12917, 1310, 16, 4458, 4842, 291, 225, 88, 76, 73, 1374, 292, 44989, 292, 225, 88, 76, 73, 393, 14121, 290, 9414, 325, 225, 88, 76, 73, 11410, 292, 673, 20822, 17941, 18, 203, 203, 6923, 886, 203, 203, 42118, 587, 203, 203, 3591, 568, 203, 29898, 47465, 3849, 396, 30962, 13, 203, 47, 9669, 2417, 14700, 203, 29898, 6639, 3849, 396, 30962, 13, 203, 42, 3864, 16659, 203, 15603, 290, 3446, 19024, 292, 225, 88, 76, 73, 7738, 292, 12936, 292, 225, 88, 76, 73, 5316, 11228, 203, 15603, 292, 225, 88, 76, 73, 7738, 292, 20741, 10689, 292, 6072, 203, 15603, 292, 225, 88, 76, 73, 7738, 326, 14608, 16101, 5289, 292, 6072, 203, 44378, 463, 6924, 292, 225, 88, 76, 73, 5316, 11228, 203, 15603, 290, 17129, 292, 225, 88, 76, 73, 5316, 11228, 203, 38638, 578, 7240, 292, 225, 88, 76, 73, 5316, 11228, 203, 15603, 290, 17129, 292, 225, 88, 76, 73, 8670, 4970, 203, 203, 3257, 2477, 203, 16679, 1622, 292, 225, 88, 76, 73, 7986, 47465, 3849, 292, 225, 88, 76, 73, 5316, 11228, 225, 203, 16679, 1622, 292, 225, 88, 76, 73, 7986, 6639, 3849, 292, 225, 88, 76, 73, 5316, 11228, 225, 203, 16679, 1622, 292, 225, 88, 76, 73, 7986, 27498, 3849, 292, 6072, 225, 203, 16679, 1622, 292, 225, 88, 76, 73, 11432, 14263, 3849, 292, 225, 88, 76, 73, 5316, 11228, 225, 203, 16679, 1622, 292, 225, 88, 76, 73, 4138, 36297, 292, 5510, 14977, 292, 225, 88, 76, 73, 3296, 292, 225, 88, 76, 73, 5316, 11228, 225, 203, 16679, 1622, 292, 225, 88, 76, 73, 2361, 44072, 3849, 292, 6072, 203, 203, 1987, 203, 203, 31492, 366, 16, 17129, 16, 290, 18095, 292, 6072, 203, 18773, 6924, 203, 19207, 6924, 290, 17129, 292, 6072, 2, 0, 36485, 6632, 10022, 396, 3640, 2116, 2382, 7884, 291, 2209, 3341, 16, 14836, 13, 318, 279, 2764, 225, 1968, 3139, 42302, 2946, 18, 203, 203, 10449, 203, 829, 1589, 2451, 16, 10022, 1882, 754, 1383, 17, 13288, 431, 4499, 2701, 6537, 286, 6319, 225, 69, 797, 17, 2996, 2601, 325, 225, 88, 76, 73, 2107, 7915, 42302, 4928, 326, 225, 88, 76, 73, 2451, 1180, 1758, 290, 2286, 1180, 916, 6806, 18, 10923, 286, 442, 10022, 4938, 291, 225, 88, 76, 73, 2616, 2764, 28581, 6263, 2243, 16, 6627, 1025, 1180, 1537, 286, 4584, 22886, 18, 557, 2451, 458, 1825, 225, 88, 76, 73, 6721, 431, 20293, 3906, 18129, 1473, 1136, 1180, 28, 18, 203, 203, 26387, 290, 16342, 15494, 203, 203, 10449, 16120, 203, 203, 6123, 11321, 16120, 30, 685, 396, 21, 3525, 13, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 36485, 6632, 10022, 383, 13109, 82, 42302, 18, 1633, 203, 36485, 6632, 10022, 383, 47795, 13339, 262, 18, 1724, 30, 7915, 42302, 15120, 290, 7266, 2744, 21958, 203, 203, 9327, 3139, 42302, 1865, 203, 6004, 717, 203, 17308, 4686, 203, 5013, 423, 1063, 8221, 4010, 203, 17869, 423, 14836, 2, 0, 3805, 402, 4368, 318, 225, 69, 1868, 1577, 573, 318, 225, 69, 14054, 3299, 14, 4842, 1848, 291, 11800, 1665, 26876, 16, 24231, 16, 3994, 18, 409, 9603, 290, 2711, 371, 4842, 16, 14054, 3299, 16, 325, 225, 88, 76, 73, 8506, 292, 9715, 15195, 290, 14823, 292, 1403, 6947, 1418, 291, 3994, 18, 203, 203, 521, 1637, 385, 225, 69, 1577, 292, 1716, 326, 225, 88, 76, 73, 25917, 292, 640, 28498, 526, 19432, 16, 573, 2154, 16158, 15803, 18, 1979, 225, 88, 76, 73, 26271, 1777, 292, 225 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]

[ 449, 339, 3179, 18, 1043, 85, 2, 0, 9473, 286, 531, 16571, 21140, 84, 1472, 17085, 1459, 2111, 18, 1867, 16571, 8449, 318, 4842, 2130, 16, 1745, 785, 326, 2917, 33123, 290, 1216, 325, 1883, 2141, 388, 2124, 524, 286, 443, 3274, 346, 654, 2257, 18, 2, 0, 17608, 2212, 2160, 13472, 718, 3904, 325, 2494, 1188, 16, 3384, 16, 383, 225, 88, 76, 73, 2184, 292, 31253, 17, 15056, 1641, 69, 891, 2979, 286, 225, 88, 76, 73, 6444, 16, 286, 1644, 1502, 23253, 16, 290, 286, 522, 798, 1907, 18, 707, 1552, 1036, 225, 69, 1162, 292, 531, 3183, 2890, 423, 225, 88, 76, 73, 38240, 806, 292, 522, 548, 291, 409, 4791, 9357, 18, 409, 1358, 6175, 292, 3440, 9714, 1641, 88, 76, 73, 2355, 3384, 2809, 1641, 14780, 4051, 7853, 1774, 286, 522, 10105, 969, 290, 2269, 18, 203, 45, 352, 635, 42594, 286, 1015, 357, 2160, 13472, 718, 352, 87, 3569, 16, 388, 383, 2070, 554, 292, 522, 1579, 5249, 30, 7082, 41590, 93, 318, 13807, 16, 41590, 93, 459, 14160, 388, 1708, 339, 6205, 11152, 18, 2591, 5523, 4998, 717, 427, 10974, 519, 9941, 2673, 346, 345, 9898, 77, 298, 517, 357, 3093, 286, 530, 16, 761, 16, 9898, 77, 12692, 18, 17796, 93, 16, 391, 20537, 318, 13807, 16, 357, 318, 10582, 811, 225, 69, 5686, 292, 14548, 19271, 345, 2968, 723, 517, 339, 28037, 438, 292, 1842, 581, 1054, 394, 35347, 16, 13469, 16, 388, 1797, 4994, 18, 1218, 357, 318, 279, 28037, 545, 18283, 292, 225, 88, 76, 73, 35842, 431, 573, 554, 318, 38665, 691, 554, 504, 225, 88, 76, 73, 1024, 2113, 8127, 286, 18033, 345, 442, 388, 345, 318, 2919, 983, 326, 1761, 18, 203, 37, 761, 17, 1010, 866, 282, 3042, 424, 1353, 527, 346, 225, 69, 1162, 41590, 21092, 300, 7198, 16, 290, 424, 874, 949, 7976, 291, 961, 541, 823, 13063, 18, 616, 8060, 16, 4436, 6875, 10417, 408, 352, 264, 479, 633, 15628, 1395, 1723, 225, 88, 76, 73, 19338, 16, 22755, 1214, 1133, 266, 1901, 292, 522, 22627, 732, 18, 409, 19338, 318, 14834, 323, 7483, 345, 660, 318, 10459, 16, 874, 691, 357, 318, 770, 4436, 1367, 6875, 16, 596, 10417, 458, 318, 541, 11511, 450, 359, 286, 339, 225, 69, 633, 3401, 18, 1009, 458, 318, 7483, 346, 3544, 326, 4446, 6875, 1060, 286, 744, 950, 7483, 346, 3544, 18, 996, 16, 2375, 16, 6875, 352, 87, 4858, 644, 225, 88, 76, 73, 30807, 3122, 292, 29609, 290, 13876, 18470, 225, 88, 76, 73, 19338, 352, 87, 2639, 2925, 292, 2848, 290, 761, 17, 6957, 16, 761, 16, 857, 357, 703, 339, 279, 6233, 1046, 2669, 18, 203, 2628, 357, 385, 345, 629, 3042, 6787, 288, 42253, 754, 326, 225, 69, 941, 595, 346, 2828, 3207, 345, 30142, 24164, 286, 225, 88, 76, 73, 41634, 292, 5267, 4371, 290, 2220, 31064, 396, 88, 76, 73, 797, 16, 543, 1541, 720, 449, 16, 961, 225, 88, 76, 73, 1150, 13, 1027, 24891, 225, 88, 76, 73, 41590, 2724, 359, 225, 69, 16135, 286, 1059, 541, 21008, 16, 290, 359, 18210, 286, 225, 88, 76, 73, 616, 22141, 550, 541, 27344, 431, 1128, 7945, 31605, 11797, 286, 225, 88, 76, 73, 3960, 836, 18, 601, 385, 449, 1230, 279, 6233, 571, 34765, 3611, 10975, 18, 557, 9214, 16, 1248, 16, 19889, 717, 3870, 286, 339, 9590, 47827, 6202, 268, 8225, 18, 25736, 225, 88, 76, 73, 11456, 16, 290, 691, 554, 504, 225, 88, 76, 73, 2947, 16, 357, 318, 3329, 286, 1934, 286, 339, 3329, 18, 203, 14614, 17, 39373, 17796, 93, 203, 3018, 857, 670, 1013, 286, 339, 1740, 41590, 93, 1882, 527, 1584, 225, 69, 631, 41590, 93, 18, 409, 631, 14548, 41590, 93, 292, 3051, 5727, 318, 1406, 290, 20601, 31, 4809, 286, 357, 16, 225, 88, 76, 73, 1367, 41590, 93, 385, 9422, 31451, 18, 409, 1367, 41590, 93, 385, 664, 225, 69, 15561, 702, 1367, 10658, 291, 225, 88, 76, 73, 2290, 47297, 31, 225, 88, 76, 73, 631, 41590, 93, 318, 225, 69, 14225, 2444, 289, 1971, 26418, 291, 225, 88, 76, 73, 1201, 1628, 18, 409, 1367, 41590, 93, 8021, 286, 2837, 326, 225, 88, 76, 73, 1843, 16, 573, 5300, 29132, 1796, 18, 409, 631, 41590, 93, 6000, 286, 2837, 326, 225, 88, 76, 73, 1924, 290, 318, 4477, 225, 88, 76, 73, 7274, 262, 292, 8913, 3130, 345, 1401, 477, 786, 9867, 18, 409, 2947, 292, 225, 69, 1162, 286, 1766, 291, 225, 88, 76, 73, 1843, 882, 339, 15727, 1857, 650, 225, 88, 76, 73, 1924, 385, 2004, 286, 339, 1227, 290, 772, 25762, 18, 15313, 262, 779, 225, 88, 76, 73, 41590, 385, 568, 225, 69, 836, 292, 2561, 357, 2703, 18, 828, 1411, 688, 30, 6902, 225, 88, 76, 73, 2230, 292, 225, 88, 76, 73, 1843, 703, 1303, 1060, 1001, 18, 1218, 225, 88, 76, 73, 1367, 41590, 93, 345, 318, 13807, 318, 6205, 11152, 431, 225, 88, 76, 73, 631, 41590, 93, 16, 573, 318, 1411, 13807, 18, 203, 521, 1709, 5147, 14548, 19271, 345, 941, 41271, 385, 383, 965, 346, 28092, 12187, 517, 40610, 581, 225, 88, 76, 73, 2537, 292, 5160, 18, 2352, 345, 357, 13010, 345, 660, 318, 225, 69, 5160, 581, 442, 388, 345, 16, 517, 16, 857, 16, 596, 385, 286, 1335, 670, 345, 5160, 1380, 339, 35, 1605, 225, 88, 76, 73, 2537, 292, 5160, 318, 15276, 13169, 1641, 344, 318, 16, 650, 357, 318, 13010, 291, 2651, 1641, 582, 424, 2395, 286, 339, 36754, 292, 225, 69, 25888, 8837, 292, 616, 343, 22822, 1076, 1515, 554, 1380, 4785, 345, 660, 1142, 318, 786, 5160, 345, 1767, 19271, 3046, 16, 290, 2395, 1378, 1619, 18, 409, 5190, 286, 225, 88, 76, 73, 1619, 292, 19271, 318, 225, 88, 76, 73, 1619, 292, 1420, 18, 15313, 262, 575, 4066, 2285, 13511, 31, 225, 88, 76, 73, 459, 286, 1420, 32040, 786, 2157, 326, 36774, 18, 203, 829, 629, 10012, 16, 225, 88, 76, 73, 631, 41590, 93, 318, 745, 30017, 14834, 291, 22537, 290, 29244, 396, 281, 16, 359, 357, 318, 928, 16, 616, 749, 19401, 328 ]

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

[ 2592, 385, 225, 88, 76, 73, 2677, 13650, 292, 225, 69, 7911, 2667, 596, 385, 915, 279, 1075, 438, 290, 225, 69, 499, 17, 2336, 17, 72, 7414, 30936, 286, 339, 225, 69, 42693, 18, 203, 1109, 988, 424, 352, 88, 4039, 286, 427, 654, 278, 1073, 291, 531, 22833, 5128, 225, 69, 27572, 3045, 18, 14677, 9911, 18, 19935, 42878, 2659, 352, 87, 4013, 385, 13973, 527, 290, 458, 1981, 785, 286, 225, 88, 76, 73, 2215, 594, 2472, 267, 346, 522, 7513, 4543, 16, 6322, 225, 69, 631, 3508, 18, 203, 35543, 28573, 290, 7657, 7833, 33563, 703, 427, 652, 3063, 346, 442, 3343, 16, 517, 554, 424, 770, 6493, 708, 2882, 389, 31591, 388, 13769, 25446, 1380, 427, 11610, 357, 18, 203, 24208, 1694, 16, 18415, 203, 21, 3465, 581, 689, 11, 521, 20400, 35634, 11, 33357, 1507, 14677, 8427, 2656, 203, 7565, 286, 2834, 2368, 650, 3981, 371, 5381, 18, 203, 34604, 14092, 1010, 423, 603, 751, 83, 628, 3323, 16, 2355, 1124, 16, 2730, 383, 377, 30, 916, 283, 18, 81, 18, 203, 1624, 780, 1541, 979, 325, 225, 88, 76, 73, 984, 16, 19935, 42878, 2659, 3557, 286, 1491, 18830, 16490, 43572, 326, 723, 18, 731, 42894, 12039, 3045, 18, 14677, 345, 522, 631, 2592, 385, 225, 88, 76, 73, 2677, 13650, 292, 225, 69, 7911, 2667, 596, 385, 915, 279, 1075, 438, 290, 225, 69, 499, 17, 2336, 17, 72, 7414, 30936, 286, 339, 225, 69, 42693, 18, 16242, 16242, 3461, 985, 442, 6939, 698, 88, 76, 73, 3648, 319, 10564, 1652, 18745, 35, 203, 2852, 203, 16304, 203, 7007, 1806, 13849, 203, 5270, 225, 88, 76, 73, 7037, 203, 7161, 6330, 318, 225, 69, 761, 1712, 2155, 6474, 596, 504, 3055, 326, 225, 88, 76, 73, 24601, 5739, 3729, 7817, 16, 3282, 14768, 31807, 16, 521, 48143, 3797, 16, 15364, 5739, 16, 5377, 5383, 16, 21156, 9927, 16, 24577, 954, 24312, 290, 3282, 7626, 1913, 2, 0, 16718, 291, 11962, 1817, 3441, 3928, 16, 30559, 8662, 16, 1477, 383, 225, 88, 76, 73, 4240, 16, 290, 292, 1619, 16, 49746, 5, 707, 688, 708, 286, 502, 1518, 1054, 16, 1036, 291, 11962, 16, 290, 408, 6608, 225, 88, 76, 73, 910, 292, 225, 88, 76, 73, 910, 1040, 290, 760, 602, 346, 4230, 1518, 290, 3258, 12378, 18, 6629, 398, 3183, 2130, 290, 339, 1336, 286, 623, 398, 7453, 290, 1031, 398, 28132, 5, 203, 47, 16267, 6998, 3703, 11202, 17703, 16, 32521, 30, 2262, 3843, 88, 76, 203, 1200, 1465, 2134, 658, 1583, 34529, 290, 2010, 4943, 426, 286, 623, 398, 4461, 292, 49323, 290, 14344, 18, 16527, 7453, 371, 1349, 359, 761, 359, 3722, 532, 20380, 7453, 18, 203, 10371, 3841, 12000, 38191, 5288, 16, 2027, 3841, 12000, 30, 2262, 3843, 88, 76, 203, 49990, 519, 10919, 88, 76, 602, 16, 225, 88, 76, 73, 2027, 3841, 12000, 38191, 5288, 2134, 1452, 16, 953, 16, 290, 292, 1619, 16, 5130, 5258, 59, 17229, 8352, 2180, 5, 203, 49, 3323, 694, 5288, 16, 26215, 30, 2382, 1519, 88, 76, 17, 2566, 88, 76, 203, 11239, 357, 388, 8937, 357, 16, 2610, 92, 694, 318, 225, 69, 11962, 6395, 290, 786, 554, 1071, 357, 1317, 720, 225, 88, 76, 73, 965, 292, 2610, 92, 694, 16, 26215, 5, 738, 1465, 449, 770, 2134, 225, 88, 76, 73, 17729, 517, 568, 225, 69, 17653, 16, 225, 69, 848, 79, 16, 3924, 669, 24104, 16, 3573, 2839, 290, 543, 5, 203, 59, 6186, 11202, 17703, 16, 17794, 30, 2382, 2272, 88, 76, 203, 16330, 2089, 7445, 11962, 290, 225, 69, 3258, 291, 398, 1032, 346, 225, 88, 76, 73, 384, 348, 4230, 17794, 11202, 17703, 5, 1397, 1336, 286, 623, 398, 7668, 286, 1508, 225, 88, 76, 73, 685, 17, 9591, 6822, 346, 6826, 48, 4888, 35992, 19340, 290, 225, 69, 38846, 33015, 3706, 18, 3722, 532, 20380, 7453, 371, 1349, 1248, 5, 203, 49, 4125, 38531, 43330, 5288, 16, 5218, 37440, 30, 2382, 2272, 88, 76, 17, 2866, 334, 203, 20791, 16, 5218, 37440, 2747, 985, 225, 88, 76, 73, 745, 2801, 6178, 1389, 291, 225, 88, 76, 73, 1627, 517, 442, 318, 225, 69, 424, 985, 2362, 6822, 5, 601, 526, 652, 225, 88, 76, 73, 5843, 292, 225, 88, 76, 73, 2779, 326, 13073, 290, 798, 11664, 10811, 326, 13366, 806, 18, 7015, 16, 596, 2087, 985, 1246, 13407, 12740, 203, 61, 1170, 1242, 1273, 321, 5288, 16, 577, 1170, 1242, 30, 2382, 591, 88, 76, 17, 2866, 334, 203, 37, 11962, 2322, 326, 13959, 806, 18, 738, 602, 16, 821, 7049, 609, 720, 15196, 6642, 16, 19966, 9180, 22411, 292, 409, 22411, 361, 1615, 359, 23603, 34066, 5, 203, 59, 41726, 26256, 30, 9289, 17, 33861, 5680, 954, 19178, 5288, 16, 4784, 425, 70, 3655, 30, 2382, 452, 88, 76, 203, 14386, 16, 6921, 16, 290, 5220, 12740, 8693, 314, 1335, 543, 12740, 203, 6709, 12618, 25718, 6852, 16, 5413, 330, 76, 73, 880, 30, 2382, 3498, 88, 76, 203, 17574, 965, 691, 313, 2164, 8603, 286, 2150, 26948, 5, 738, 1465, 383, 225, 88, 76, 73, 5413, 330, 76, 73, 880, 6852, 26929, 2134, 449, 770, 7159, 16, 517, 35445, 16, 11099, 16, 7292, 16, 290, 543, 5, 203, 49, 4125, 39766, 11, 16865, 5652, 19178, 5288, 16, 2027, 11721, 16, 2382, 3498, 88, 76, 203, 6, 521, 4609, 8776, 20885, 291, 11962, 6, 2134, 16791, 1491, 34529, 541, 442, 318, 554, 1465, 313, 1825, 985, 813, 286, 2362, 18, 601, 526, 398, 554, 17, 15524, 2233, 286, 623, 286, 688, 670, 225, 88, 76, 73, 11962, 6921, 1950, 318, 479, 581, 18, 16527, 7453, 1706, 10237, 6218, 16, 7460, 18201, 16, 290, 225, 69, 16527, 1389, 18, 3722, 532, 20380, 7453, 371, 568, 1349, 18, 203, 21452, 767, 5288, 16, 16188, 30, 2382, 3498, 88, 76, 203, 7315, 2087, 985, 664, 11568, 12740, 738, 1465, 2134, 225, 69, 11568, 44489, 16, 1952, 46565, 16, 290, 874, 11568, 4746, 5640, 1482, 5, 4217, 398, 7453, 915, 5, 203, 49, 4125, 26454, 2667, 5288, 16, 4739, 944, 30, 2382, 4600, 334, 17, 7552, 832, 88, 76, 203, 3134, 292, 225, 88, 76, 73, 745 ]

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

[ 203, 1759, 558, 521, 19294, 299, 203, 19301, 16, 2660, 717, 424, 985, 12197, 551, 7352, 18, 601, 526, 26801, 290, 35991, 746, 286, 1059, 596, 1142, 1981, 754, 1228, 18, 203, 1759, 558, 521, 19294, 299, 203, 57, 10704, 398, 884, 2257, 18, 13622, 16, 1054, 806, 449, 940, 517, 522, 969, 318, 325, 225, 69, 1046, 2561, 1962, 857, 9285, 16, 3991, 522, 2845, 11416, 9538, 225, 88, 76, 73, 2184, 3770, 1133, 8977, 290, 225, 88, 76, 73, 2845, 18, 5841, 806, 2376, 313, 882, 2463, 652, 225, 88, 76, 73, 34495, 3403, 1027, 458, 1837, 519, 1908, 325, 225, 69, 2777, 18, 996, 8977, 2629, 326, 225, 88, 76, 73, 1788, 32420, 2450, 499, 326, 357, 18, 1218, 691, 8977, 5587, 8977, 449, 18, 203, 47030, 39313, 203, 26605, 314, 1033, 479, 408, 813, 286, 502, 318, 17830, 952, 408, 479, 688, 2660, 717, 290, 717, 292, 609, 8712, 813, 286, 339, 664, 443, 16, 517, 544, 459, 14036, 20833, 225, 69, 10257, 286, 744, 443, 1156, 664, 408, 371, 2896, 18, 517, 650, 225, 69, 2660, 3259, 2719, 2165, 345, 786, 770, 1071, 780, 813, 286, 339, 664, 443, 780, 459, 5027, 6200, 359, 940, 359, 780, 424, 286, 339, 664, 443, 16, 408, 894, 24059, 18, 408, 9451, 531, 2733, 16, 3934, 1976, 15086, 16, 3934, 26576, 286, 427, 543, 670, 318, 6884, 359, 2660, 2134, 16, 517, 408, 17830, 581, 1761, 18, 23752, 18, 314, 943, 985, 821, 2896, 3660, 346, 670, 47435, 928, 18, 203, 1624, 691, 2845, 371, 4246, 326, 519, 4590, 314, 715, 813, 633, 286, 427, 225, 69, 42981, 326, 4040, 203, 14150, 567, 421, 8279, 203, 77, 1246, 398, 1565, 411, 6486, 51, 13468, 2363, 517, 6296, 693, 15354, 502, 1143, 542, 1902, 764, 543, 11459, 915, 225, 69, 1477, 1143, 333, 79, 19367, 203, 1543, 332, 2944, 319, 8183, 17, 48, 13472, 1543, 16, 361, 18, 26067, 203, 6412, 21774, 18, 828, 424, 1015, 530, 19213, 1155, 314, 943, 985, 19213, 18, 203, 4664, 502, 764, 543, 11459, 517, 30772, 292, 6989, 659, 286, 1424, 345, 499, 357, 943, 985, 764, 877, 581, 225, 88, 76, 73, 2733, 945, 203, 14150, 567, 421, 8279, 203, 48593, 203, 22607, 93, 33512, 203, 22555, 22555, 1143, 203, 22607, 93, 33512, 203, 22555, 22555, 4904, 203, 22607, 93, 33512, 203, 22555, 22555, 22555, 203, 6060, 352, 19752, 203, 1624, 225, 69, 1840, 23458, 396, 29, 19, 9227, 13, 225, 88, 76, 73, 745, 7968, 746, 909, 314, 427, 3606, 2705, 286, 530, 318, 693, 6, 4331, 985, 4874, 313, 459, 942, 2170, 631, 16, 313, 371, 1146, 1840, 2656, 1666, 3465, 318, 541, 11898, 18, 2864, 1335, 314, 714, 541, 9905, 326, 398, 1516, 18, 314, 703, 2655, 1696, 345, 857, 689, 45, 11, 288, 541, 9905, 326, 398, 2979, 1143, 285, 5204, 9605, 286, 10031, 785, 346, 689, 6412, 313, 6, 9461, 13460, 1516, 16, 517, 449, 2162, 9450, 1545, 225, 69, 2979, 292, 225, 69, 3719, 554, 18, 1366, 551, 10031, 346, 4084, 313, 5204, 541, 940, 1317, 286, 551, 2328, 18, 203, 37, 261, 303, 679, 203, 4274, 928, 4584, 2421, 286, 339, 2660, 4904, 45, 1919, 985, 1028, 857, 290, 314, 943, 985, 1028, 915, 18, 996, 14816, 4042, 286, 339, 225, 69, 42948, 345, 526, 633, 932, 5, 203, 3026, 380, 7497, 203, 15850, 2669, 708, 11007, 780, 318, 16, 780, 318, 1146, 1226, 308, 1120, 5, 2325, 884, 3029, 524, 282, 633, 18, 314, 1940, 629, 717, 715, 21303, 5008, 4418, 423, 7188, 18, 12713, 16, 314, 3229, 314, 385, 225, 69, 3277, 1938, 4035, 1143, 5856, 314, 714, 7768, 13468, 2363, 203, 37213, 1330, 7027, 711, 75, 203, 1905, 1229, 314, 5536, 290, 314, 6674, 225, 88, 76, 73, 7034, 383, 225, 88, 76, 73, 991, 693, 12570, 7960, 290, 225, 3589, 5, 203, 46, 5815, 26468, 203, 54, 579, 3425, 24221, 985, 502, 318, 76, 16, 517, 25257, 225, 88, 76, 73, 278, 14298, 524, 292, 633, 3029, 290, 8111, 581, 633, 5068, 3593, 664, 27669, 2938, 541, 780, 424, 283, 8225, 3260, 6989, 326, 1797, 3734, 18, 7219, 5, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 1371, 442, 689, 45, 5004, 18363, 16, 35683, 5274, 38402, 18327, 82, 16, 11411, 16, 2271, 17, 324, 77, 82, 16, 4958, 1159, 1565, 289, 19992, 6, 15627, 943, 985, 623, 524, 292, 633, 884, 836, 1143, 57, 18103, 5, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 2177, 4544, 345, 1143, 203, 60, 4561, 1422, 357, 286, 21774, 5, 203, 17243, 3585, 203, 12749, 5136, 293, 325, 689, 542, 6, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 45, 2463, 644, 442, 1150, 2809, 18, 15377, 806, 314, 644, 286, 1424, 225, 88, 76, 73, 5105, 688, 18, 996, 225, 69, 5052, 41661, 1723, 544, 659, 286, 499, 16, 544, 659, 286, 499, 18, 203, 1200, 602, 314, 2524, 225, 69, 1015, 5587, 691, 10242, 5052, 41661, 3667, 225, 88, 76, 73, 7190, 383, 965, 18, 3865, 16, 292, 1619, 544, 502, 16, 517, 313, 371, 7247, 346, 1240, 717, 596, 427, 874, 4762, 854, 35961, 290, 691, 544, 1919, 985, 813, 624, 286, 499, 286, 225, 88, 76, 73, 7190, 383, 1204, 1656, 979, 544, 1127, 17902, 291, 225, 88, 76, 73, 1204, 35, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 42378, 18, 13205, 345, 286, 2073, 1248, 18, 314, 2705, 10242, 5052, 41661, 16, 689, 48549, 1427, 442, 18, 1397, 21078, 16, 517, 1880, 365, 450, 336, 16, 1866, 1543, 659, 286, 1015, 551, 24656, 2330, 10317, 689, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 16300, 10065, 702, 943, 985, 502, 357, 18, 8906, 786, 5, 10127, 325, 915, 1143, 9788, 985, 502, 357, 18, 351, 18374, 10716, 2860, 6796, 8654, 8173, 5, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 7315, 329, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 1647, 18, 1498, 18, 1666, 12740, 225, 22501, 203, 35385, 69, 6832, 15848, 616, 43363, 550, 5052, 41661, 203, 40630, 3293 ]

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

[ 1742, 28919, 352, 87, 3529, 2450, 292, 12228, 23490, 318, 10403, 18, 13606, 1069, 4504, 27587, 18, 13606, 1069, 459, 744, 279, 3281, 1408, 286, 225, 88, 76, 73, 962, 290, 4917, 346, 633, 1185, 291, 225, 88, 76, 73, 1962, 292, 2818, 1750, 290, 1512, 2255, 18, 557, 633, 2450, 16, 780, 459, 1635, 325, 2681, 2547, 16, 6961, 1376, 3074, 290, 12268, 19243, 3379, 18, 203, 37, 631, 12898, 4136, 504, 652, 3249, 286, 225, 88, 76, 73, 14208, 43, 6214, 4939, 25812, 18, 3045, 18, 11905, 5409, 361, 9207, 923, 539, 318, 279, 3731, 6551, 1968, 346, 11788, 688, 17, 5408, 359, 761, 359, 225, 69, 891, 2101, 292, 2479, 292, 3163, 1574, 290, 1604, 18382, 2148, 18, 1591, 522, 6897, 1185, 11905, 5409, 504, 652, 2912, 291, 225, 88, 76, 73, 1957, 9382, 292, 225, 88, 76, 73, 6551, 1950, 423, 3222, 1598, 5178, 286, 225, 88, 76, 73, 1750, 292, 5658, 9266, 2216, 18, 203, 521, 631, 3084, 318, 30753, 286, 1651, 225, 88, 76, 73, 3084, 2540, 346, 1185, 290, 13399, 18, 3628, 1156, 1324, 286, 1976, 654, 2260, 292, 225, 88, 76, 73, 962, 754, 225, 88, 76, 73, 1622, 383, 203, 3021, 10148, 203, 13664, 1217, 2, 0, 3732, 26235, 13, 203, 45, 2383, 1870, 629, 6717, 15146, 326, 2391, 34036, 19, 7467, 34036, 3303, 47, 16, 265, 385, 14641, 292, 1249, 1230, 225, 88, 76, 73, 1150, 1095, 15146, 541, 265, 2463, 652, 3347, 326, 225, 69, 1027, 581, 1870, 1334, 1403, 326, 551, 1474, 7733, 396, 88, 76, 73, 7495, 2740, 35434, 14175, 326, 365, 859, 203, 45, 1100, 225, 69, 836, 286, 689, 2714, 362, 994, 6, 225, 88, 76, 73, 6717, 9568, 325, 225, 88, 76, 73, 3039, 715, 431, 5561, 16, 265, 385, 2561, 346, 225, 69, 2735, 292, 34072, 265, 427, 290, 265, 1100, 225, 69, 2204, 836, 286, 3986, 225, 88, 76, 73, 9568, 286, 225, 88, 76, 73, 15146, 30, 203, 8535, 706, 225, 88, 76, 73, 6440, 641, 292, 225, 69, 2391, 34036, 5415, 3039, 16, 715, 2819, 225, 88, 76, 73, 11056, 203, 4294, 225, 88, 76, 73, 3039, 19055, 968, 325, 2, 0, 5773, 286, 10772, 203, 55, 26112, 3568, 557, 23983, 43188, 10027, 203, 15092, 16, 2485, 2399, 16, 1910, 16, 1260, 30, 1878, 3806, 774, 1136, 30, 1878, 3806, 5578, 56, 203, 17708, 30, 6953, 203, 5312, 887, 969, 318, 1444, 292, 4047, 1388, 290, 1240, 18, 1605, 1528, 427, 225, 88, 76, 73, 2991, 286, 9445, 14259, 16, 544, 424, 1973, 290, 1405, 18, 1591, 225, 88, 76, 73, 723, 292, 531, 1907, 325, 319, 26112, 3568, 16, 225, 88, 76, 73, 10252, 11366, 326, 17969, 10390, 290, 10252, 39337, 87, 12630, 371, 4572, 286, 1877, 225, 69, 1324, 6408, 345, 424, 723, 11648, 3366, 352, 16868, 290, 23307, 1528, 352, 87, 3287, 290, 4613, 1489, 291, 1189, 290, 27328, 2230, 18, 203, 2598, 442, 1324, 5323, 2003, 16, 313, 2755, 427, 225, 69, 3122, 286, 30, 203, 21, 18, 5638, 622, 225, 88, 76, 73, 1848, 8054, 326, 16868, 18, 203, 22, 18, 23132, 1324, 319, 26112, 3568, 291, 23983, 34721, 290, 2825, 3169, 345, 6382, 16, 3366, 16, 290, 1528, 424, 787, 18, 203, 23, 18, 12839, 225, 69, 1095, 326, 708, 286, 744, 803, 3169, 9395, 326, 225, 88, 76, 73, 3366, 290, 1528, 291, 398, 1028, 18, 203, 45579, 7299, 43772, 30, 203, 40477, 203, 34521, 1810, 8186, 30, 203, 20145, 39265, 774, 9492, 39265, 8130, 325, 1249, 8310, 5374, 286, 1582, 1056, 290, 1670, 1626, 811, 633, 3084, 30560, 9947, 10808, 18, 1591, 1583, 15, 806, 292, 1185, 291, 2172, 1315, 14283, 8310, 16, 17059, 16, 290, 2930, 2528, 16, 780, 4917, 2479, 292, 708, 286, 1083, 6107, 11253, 5098, 4034, 3203, 290, 5374, 16, 970, 11920, 326, 14769, 286, 4715, 14287, 1118, 16, 1582, 290, 3250, 8310, 290, 2797, 3407, 16, 290, 3279, 7987, 2094, 18, 203, 1624, 225, 69, 2774, 15420, 290, 8310, 10758, 346, 10252, 39337, 87, 12630, 16, 780, 5156, 4320, 286, 7418, 225, 88, 76, 73, 2707, 292, 18257, 8100, 3901, 396, 15788, 87, 13, 325, 314, 330, 555, 352, 1489, 290, 761, 17, 6957, 290, 225, 88, 76, 73, 5118, 292, 28923, 7294, 2557, 290, 4100, 286, 5242, 7046, 290, 1127, 12917, 4769, 346, 3366, 18, 9492, 568, 5156, 225, 88, 76, 73, 10252, 11366, 326, 17969, 10390, 16, 225, 69, 11529, 3605, 346, 319, 26112, 3568, 291, 23983, 286, 2147, 225, 88, 76, 73, 1670, 17, 45451, 761, 17, 6957, 292, 2845, 6843, 1669, 17, 28, 291, 10252, 290, 318, 225, 69, 9907, 286, 1103, 1489, 18015, 754, 225, 88, 76, 73, 3308, 16578, 18194, 3119, 431, 6739, 17, 46216, 3308, 5031, 18, 203, 20145, 2418, 2497, 26374, 325, 319, 26112, 3568, 291, 23983, 3169, 16, 10252, 39337, 87, 1415, 290, 1734, 16, 290, 14769, 3305, 286, 1103, 290, 1201, 761, 17, 6957, 18, 203, 24159, 459, 1922, 383, 1260, 30, 564, 3375, 18, 6953, 459, 1922, 17214, 383, 1260, 30, 1878, 3375, 18, 738, 2003, 318, 6931, 1535, 1136, 30, 1878, 3375, 18, 203, 4867, 3639, 30, 36103, 13129, 318, 2758, 286, 2246, 1376, 1434, 554, 292, 225, 88, 76, 73, 1474, 389, 8008, 1103, 13859, 1310, 9804, 16, 1315, 30, 5595, 1645, 2584, 3817, 396, 6761, 55, 5507, 43265, 23837, 15020, 3850, 396, 53, 54, 10933, 13, 2030, 3348, 18608, 4547, 31, 4898, 27996, 14608, 3817, 396, 39, 59, 2180, 4922, 1979, 4276, 3817, 31, 19158, 1548, 37482, 9286, 396, 55, 2700, 5507, 31516, 16, 5533, 1355, 16, 6953, 290, 6764, 3817, 396, 32443, 4846, 5507, 15969, 9446, 31, 18608, 4547, 9079, 3721, 18, 996, 313, 502, 449, 548, 1434, 554, 292, 225, 88, 76, 73, 1474, 389, 8008, 1103, 13859, 1382, 4013, 16, 313, 783, 339, 43681, 423, 225, 88, 76, 73, 1619, 290, 4265, 325, 225, 69, 3764, 1241, 18, 203, 1371, 313, 427, 2257, 4160, 13129, 326, 225, 88, 76, 73, 2003, 388, 691, 313, 371, 6708, 286, 5770, 326, 654, 2157, 16, 2330, 1976, 18808, 6949, 396, 63, 12584, 6488, 65, 859, 2, 0, 521, 20741, 21716, 3849, 504, 959, 629, 1124, 631, 17965 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 16, 290, 2629, 286, 1877, 629, 4322, 292, 14728, 346, 305, 352, 446, 18, 203, 26458, 530, 16, 650, 313, 623, 4438, 16, 313, 459, 339, 13232, 431, 2204, 29228, 955, 359, 4878, 6774, 1046, 4763, 18, 203, 38262, 3565, 424, 2037, 203, 8611, 2576, 7331, 203, 4696, 442, 30, 203, 9158, 203, 7995, 203, 7412, 203, 15434, 203, 24094, 203, 38405, 203, 56, 28150, 203, 19429, 203, 4256, 442, 30, 203, 4256, 13897, 1143, 203, 5616, 2944, 2571, 1710, 83, 20116, 203, 7800, 2357, 16, 2153, 2427, 3143, 16, 2153, 2030, 7950, 15026, 87, 2030, 9829, 225, 69, 3465, 203, 7291, 94, 410, 303, 318, 554, 292, 225, 88, 76, 73, 745, 4383, 10212, 5144, 616, 2195, 425, 12789, 550, 388, 30417, 8970, 9003, 291, 225, 88, 76, 73, 12652, 4831, 18, 18556, 715, 1808, 225, 88, 76, 73, 836, 423, 46753, 1226, 28980, 16, 357, 318, 225, 69, 823, 6689, 2145, 326, 12465, 8521, 18, 6480, 12478, 291, 225, 88, 76, 73, 1627, 292, 25726, 2571, 1710, 83, 325, 225, 88, 76, 73, 47710, 29911, 27093, 16, 357, 318, 25958, 326, 709, 40561, 19, 2714, 15016, 14128, 290, 5135, 18, 4121, 225, 69, 12777, 487, 264, 16823, 437, 16, 517, 314, 1033, 225, 88, 76, 73, 4449, 2084, 292, 442, 3442, 318, 2970, 8889, 225, 88, 76, 73, 5594, 16519, 292, 10912, 345, 318, 915, 709, 1179, 5303, 18, 1009, 314, 352, 81, 568, 225, 69, 1308, 29213, 345, 225, 88, 76, 73, 1179, 1773, 94, 410, 303, 5977, 385, 4595, 650, 314, 7089, 18, 13722, 1385, 720, 225, 88, 76, 73, 21757, 292, 225, 69, 3040, 1638, 75, 18, 203, 7291, 94, 6597, 13855, 1102, 203, 8611, 2576, 7331, 203, 4696, 442, 30, 203, 9158, 203, 7995, 203, 7412, 203, 15434, 203, 24094, 203, 38405, 203, 56, 28150, 203, 19429, 203, 4256, 442, 30, 203, 4256, 13897, 1143, 203, 887, 3240, 1713, 22041, 312, 2564, 203, 7552, 3498, 16, 2153, 2429, 832, 16, 2153, 2030, 7950, 15026, 87, 2030, 377, 9028, 203, 39, 9096, 421, 2564, 318, 225, 88, 76, 73, 36576, 21634, 292, 9533, 345, 459, 4675, 313, 292, 554, 909, 30, 8541, 10836, 18, 5938, 16, 442, 385, 225, 88, 76, 73, 2648, 16227, 292, 25440, 16, 1450, 19757, 16, 8762, 290, 28843, 352, 87, 11511, 291, 225, 88, 76, 73, 11624, 30373, 16, 3851, 519, 2853, 3053, 318, 1411, 310, 290, 20794, 4878, 8230, 18, 1218, 16, 29287, 421, 2564, 318, 543, 720, 225, 69, 823, 39792, 21634, 18, 601, 318, 827, 225, 88, 76, 73, 1495, 292, 9533, 46758, 396, 88, 76, 73, 528, 13, 371, 2558, 290, 14736, 16, 225, 69, 1171, 292, 5068, 21523, 18, 601, 352, 87, 568, 225, 88, 76, 73, 965, 292, 1226, 17283, 290, 21415, 14331, 18, 203, 34256, 282, 968, 225, 88, 76, 73, 2441, 290, 785, 1001, 1102, 203, 8611, 2576, 7331, 203, 4696, 442, 30, 203, 9158, 203, 7995, 203, 7412, 203, 15434, 203, 24094, 203, 38405, 203, 56, 28150, 203, 19429, 203, 4256, 442, 30, 203, 4256, 13897, 1143, 203, 21292, 8226, 203, 18968, 28368, 5225, 203, 10954, 326, 30, 203, 48274, 203, 4644, 1920, 203, 7065, 1920, 203, 6974, 1920, 203, 8079, 1920, 203, 7675, 1920, 203, 8324, 2153, 203, 8209, 2153, 203, 7751, 2153, 203, 7800, 2153, 203, 7552, 2153, 203, 7322, 2153, 203, 7077, 2153, 203, 4644, 2153, 203, 7065, 2153, 203, 6974, 2153, 203, 8079, 2153, 203, 7675, 2153, 203, 8324, 2286, 203, 8209, 2286, 203, 7751, 2286, 203, 7800, 2286, 203, 7552, 2286, 203, 7322, 2286, 203, 7077, 2286, 203, 4644, 2286, 203, 7065, 2286, 203, 6974, 2286, 203, 8079, 2286, 203, 7675, 2286, 203, 8324, 2451, 203, 8209, 2451, 203, 7751, 2451, 203, 7800, 2451, 203, 7552, 2451, 203, 8997, 2714, 35309, 17736, 30, 203, 20128, 203, 9707, 18330, 609, 9855, 203, 8231, 203, 48482, 7762, 7762, 3796, 20737, 37383, 4839, 6564, 953, 359, 567, 12025, 18027, 2326, 3324, 28953, 936, 570, 10795, 1830, 3796, 12976, 12465, 12465, 2321, 3354, 12955, 48141, 33737, 48534, 1518, 1518, 3796, 45310, 48120, 23755, 2084, 5176, 11066, 357, 6635, 21059, 3428, 490, 6786, 1830, 28386, 28151, 969, 18187, 16531, 272, 3283, 5448, 2362, 9283, 5977, 13894, 1452, 1452, 12378, 2401, 2795, 2401, 17134, 3263, 631, 1469, 944, 631, 36770, 309, 7327, 3620, 37383, 7716, 2326, 3324, 27325, 4858, 3539, 309, 3478, 1271, 274, 18695, 359, 567, 7445, 2326, 3324, 3304, 1627, 1277, 16351, 4725, 1518, 949, 10852, 290, 44616, 2769, 10134, 37173, 225, 88, 76, 73, 3686, 10909, 2321, 2321, 2535, 26803, 2321, 3796, 2321, 10576, 7950, 2321, 6436, 13082, 32327, 443, 2084, 414, 7962, 21143, 44324, 2, 0, 829, 2066, 16, 2578, 225, 88, 76, 73, 7825, 16, 660, 318, 225, 88, 76, 73, 1731, 10249, 1951, 35882, 5858, 31, 87, 723, 18, 332, 2914, 292, 10908, 18419, 2128, 5780, 30459, 16, 479, 291, 2290, 292, 950, 16, 225, 69, 14178, 16, 459, 1083, 286, 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 10501, 77, 601, 35882, 5858, 31, 87, 225, 88, 76, 73, 2955, 292, 225, 88, 76, 73, 910, 5904, 18, 22099, 225, 88, 76, 73, 9017, 38968, 15680, 16, 458, 36115, 282, 325, 225, 88, 76, 73, 7711, 5, 689, 9165, 1191, 18, 1911, 2669, 670, 313, 502, 16, 313, 427, 286, 942, 225, 88, 76, 73, 30635, 292, 2128, 553, 9376, 10578, 8837, 18, 996, 28664, 689, 45, 688, 345, 16, 517, 442, 595, 16, 691, 660, 318, 786, 543, 16, 357, 459, 4973, 543, 720, 225, 88, 76, 73, 1657, 16, 517, 709, 309, 275, 4063, 263, 18, 1605, 9337, 261, 2897, 10686, 3742, 35882, 5858, 31, 87, 2797, 16, 458, 4222, 35882, 5858, 31, 88, 723, 16446, 18, 1838, 35882, 5858, 31, 87, 225, 88, 76, 73, 787, 292, 22753, 289, 314, 688, 345, 2170, 318, 23758, 325, 225, 88, 76, 73, 6640, 18, 1979, 955, 25535, 290, 6138, 16, 9116, 290, 9116, 427, 449, 652, 2843, 286, 15918, 16, 573, 504, 652, 2672, 73, 689, 4459, 30420, 16, 708, 1071, 225, 88, 76, 73, 4497, 8918, 14010, 286, 1118, 40026, 6144, 3045, 18, 290, 8431, 18, 1277, 366, 1919, 35882, 5858, 31, 88, 2037, 940 ]

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

[ 554, 292, 624, 396, 274, 17696, 326, 715, 225, 69, 1285, 859, 9286, 346, 2811, 9136, 16, 522, 3297, 9518, 286, 339, 4350, 325, 22525, 16, 9616, 225, 88, 76, 73, 21676, 4418, 292, 708, 15525, 318, 3952, 1808, 4292, 1119, 291, 17742, 31653, 290, 14571, 16, 13914, 4794, 225, 88, 76, 73, 4436, 18, 203, 203, 829, 2987, 16, 4532, 7054, 18837, 18285, 286, 40067, 291, 4523, 291, 225, 88, 76, 73, 25612, 19957, 9518, 4523, 526, 6766, 16841, 3447, 16, 3689, 326, 10805, 832, 18, 4532, 7054, 318, 568, 554, 292, 225, 88, 76, 73, 10488, 292, 34116, 3888, 3282, 16, 279, 4885, 4239, 2551, 1250, 291, 225, 88, 76, 73, 3261, 4632, 325, 2818, 1474, 11785, 6927, 18, 203, 203, 13448, 7054, 5801, 225, 88, 76, 73, 19506, 13025, 2720, 1925, 291, 225, 88, 76, 73, 5898, 991, 292, 5052, 3675, 18, 2836, 458, 2016, 291, 3023, 16, 3261, 16, 290, 17137, 1119, 3023, 290, 5052, 3675, 522, 17275, 87, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 23260, 4347, 1131, 6089, 5254, 4902, 203, 20333, 5052, 3675, 203, 25083, 286, 5052, 3675, 203, 1893, 29783, 203, 8597, 474, 3888, 3282, 999, 5184, 32768, 20069, 203, 7504, 20239, 8031, 5247, 5472, 203, 10077, 2983, 325, 4532, 7054, 203, 55, 281, 747, 4532, 7054, 30, 409, 1004, 526, 745, 38604, 1782, 17, 11180, 203, 203, 25759, 4686, 203, 6004, 717, 203, 19162, 14077, 203, 55, 15546, 31653, 261, 14077, 203, 55, 15546, 31653, 261, 9518, 24604, 203, 25158, 425, 717, 203, 5013, 423, 5052, 3675, 2, 0, 31802, 49830, 86, 358, 17, 485, 321, 274, 18585, 9069, 385, 279, 38070, 333, 4223, 14864, 290, 11970, 396, 43476, 388, 714, 347, 13, 292, 316, 1239, 308, 290, 225, 88, 76, 73, 7164, 3524, 346, 225, 88, 76, 73, 28239, 8918, 291, 331, 299, 26646, 31220, 203, 203, 9794, 203, 1624, 522, 309, 293, 6358, 2719, 16, 458, 385, 225, 69, 2677, 43601, 44256, 292, 364, 321, 274, 358, 17, 40, 362, 27010, 16, 596, 385, 225, 88, 76, 73, 11970, 292, 316, 1239, 308, 290, 225, 88, 76, 73, 7164, 3524, 346, 225, 88, 76, 73, 28239, 8918, 291, 331, 299, 26646, 291, 1913, 203, 203, 3462, 1260, 7272, 16, 21506, 86, 385, 3544, 11970, 292, 316, 1239, 308, 18, 557, 4357, 292, 345, 602, 396, 8324, 1260, 7272, 19, 7675, 1260, 7122, 13, 458, 1837, 4248, 292, 225, 69, 28239, 18029, 1584, 13662, 84, 6151, 286, 14427, 28239, 9133, 3544, 16, 7838, 346, 940, 451, 7332, 290, 16060, 16, 1315, 5012, 28239, 35695, 18, 557, 2485, 1260, 6427, 458, 24268, 225, 88, 76, 73, 23966, 5697, 346, 225, 88, 76, 73, 24594, 438, 2308, 1641, 21470, 431, 2212, 225, 88, 76, 73, 44948, 1365, 380, 290, 225, 88, 76, 73, 2264, 472, 4949, 17065, 3484, 1608, 325, 225, 88, 76, 73, 3703, 12301, 380, 325, 9089, 292, 225, 88, 76, 73, 8675, 25959, 333, 1145, 347, 13669, 74, 358, 17, 40, 560, 4880, 16, 596, 644, 291, 225, 88, 76, 73, 15248, 1620, 225, 88, 76, 73, 631, 6823, 682, 292, 225, 88, 76, 73, 331, 299, 4633, 47637, 18, 384, 16, 5777, 22, 16824, 643, 23473, 326, 279, 6964, 1319, 292, 28239, 3580, 1052, 31, 359, 225, 88, 76, 73, 24594, 438, 2308, 2404, 28003, 16060, 543, 16, 544, 644, 286, 339, 394, 555, 10895, 346, 1621, 18, 203, 203, 1987, 203, 203, 16741, 21246, 203, 1537, 88, 76, 17, 4577, 5850, 203, 3894, 22507, 333, 32319, 292, 316, 1239, 308, 203, 3894, 22507, 333, 717, 292, 225, 88, 76, 73, 6509, 1180, 3462, 94, 18780, 14516, 203, 5013, 292, 225, 88, 76, 73, 8675, 25959, 333, 1145, 19442, 292, 13662, 84, 6151, 203, 3894, 22507, 333, 312, 30500, 1010, 203, 27064, 74, 358, 17, 40, 560, 4880, 2, 0, 521, 17218, 33744, 10956, 292, 225, 88, 76, 73, 20576, 9121, 11764, 385, 225, 69, 3395, 4223, 4411, 345, 644, 279, 39638, 8811, 8016, 1154, 225, 88, 76, 73, 23215, 3646, 9515, 18, 409, 23703, 385, 2267, 325, 1260, 2827, 43791, 290, 4138, 34062, 18827, 44484, 486, 28759, 47923, 385, 6568, 359, 709, 14864, 18, 409, 23703, 385, 5401, 431, 13868, 225, 69, 7495, 5459, 1061, 24767, 7053, 423, 225, 88, 76, 73, 5706, 2290, 16, 225, 69, 1361, 1061, 24767, 7053, 16, 290, 225, 69, 1598, 28207, 7053, 959, 527, 292, 289, 1262, 1239, 290, 755, 24856, 1493, 17, 15225, 17, 18333, 2713, 18, 409, 7641, 797, 15514, 2765, 5014, 423, 225, 88, 76, 73, 2677, 8571, 33744, 10956, 18, 28759, 47923, 3119, 225, 88, 76, 73, 17218, 33744, 10956, 383, 29530, 438, 16, 21187, 272, 16, 2349, 17, 15521, 17, 37, 3697, 16, 3523, 523, 665, 303, 16, 290, 7529, 17, 40, 553, 1385, 18, 1979, 14819, 27611, 8609, 368, 27959, 23396, 2741, 291, 1846, 2355, 16, 225, 88, 76, 73, 23703, 22953, 286, 2431, 18, 203, 203, 43850, 203, 2598, 225, 88, 76, 73, 8976, 292, 3523, 11376, 448, 19086, 325, 377, 2827, 43791, 16, 4920, 16, 1318, 19813, 9893, 3119, 431, 2408, 70, 11475, 1254, 529, 47753, 12299, 1450, 5011, 4388, 9561, 6049, 16, 1318, 3395, 8931, 3119, 431, 27611, 18, 409, 19813, 15178, 1025, 16, 1318, 1180, 27, 16, 1318, 25657, 1027, 225, 88, 76, 73, 3395, 2970, 848, 16, 12460, 1673, 290, 18337, 21895, 3927, 18, 1979, 225, 88, 76, 73, 5269, 16, 225, 88, 76, 73, 3395, 5349, 40087, 286, 48642, 300, 17, 15521, 17, 4899, 622, 16, 827, 27611, 49119, 522, 28207, 698, 225, 88, 76, 73, 314, 33744, 16, 3299, 33744, 16, 603, 33744, 290, 17218, 33744, 10956, 16, 279, 4885, 7053, 3119, 431, 4138, 8639, 17, 27062, 5638, 34650, 290, 1220, 15514, 292, 15575, 8630, 28207, 18, 4138, 34062, 18827, 44484, 486, 28759, 47923, 385, 6568, 14864, 292, 225, 88, 76, 73, 17218, 33744, 10956, 16, 573, 385, 286, 1706, 28207, 811, 4138, 10664, 17, 45373, 12920, 17, 19785, 316, 3813, 487, 454, 345, 9583, 423, 225, 88, 76, 73, 5706, 2290, 18, 409, 3046, 6133, 643, 7133, 325, 1260, 2827, 16, 517, 225, 88, 76, 73, 3084, 292, 28759, 47923, 526, 23703, 385, 449, 3399, 5642, 524, 1535, 452 ]

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

[ 13, 385, 715, 225, 69, 1403, 1715, 16, 541, 345, 526, 11291, 8328, 18, 203, 203, 1266, 318, 291, 3245, 292, 442, 411, 17, 10944, 345, 225, 88, 76, 73, 43493, 420, 292, 35349, 290, 2633, 77, 3892, 1077, 17, 40, 5759, 318, 21076, 18, 601, 318, 715, 554, 3839, 3367, 6747, 292, 225, 88, 76, 73, 2639, 6229, 581, 4654, 292, 411, 17, 25588, 4882, 411, 12, 87, 13, 383, 37641, 4654, 292, 266, 16, 290, 660, 318, 940, 29836, 4840, 5602, 357, 18, 203, 203, 2854, 22358, 44925, 203, 203, 5678, 225, 88, 76, 73, 595, 292, 7929, 28181, 421, 22527, 396, 10250, 3583, 292, 225, 88, 76, 73, 461, 81, 1393, 71, 405, 2575, 1715, 13, 225, 88, 76, 73, 1403, 2450, 504, 652, 1712, 292, 1059, 475, 303, 666, 11620, 225, 346, 2709, 2785, 12216, 419, 903, 16, 290, 543, 4176, 991, 298, 12216, 419, 903, 18, 557, 3245, 292, 225, 88, 76, 73, 6006, 2836, 660, 318, 225, 69, 9159, 292, 475, 303, 666, 2692, 292, 17602, 17, 9182, 345, 8396, 524, 225, 88, 76, 73, 31470, 1284, 18, 1783, 371, 1403, 291, 519, 43770, 18, 738, 318, 2194, 291, 519, 411, 17, 25588, 4882, 291, 2655, 33498, 3245, 696, 225, 88, 76, 73, 38512, 4163, 2505, 318, 479, 292, 225, 88, 76, 73, 22718, 939, 23684, 294, 6206, 2181, 16, 2655, 720, 13295, 543, 2639, 2785, 31415, 25796, 18, 1666, 12014, 225, 69, 877, 3542, 292, 519, 28573, 12926, 359, 6535, 12920, 12926, 18, 601, 568, 1767, 624, 8531, 286, 2101, 346, 291, 3245, 292, 225, 88, 76, 73, 43493, 1259, 27616, 295, 20686, 396, 44, 8314, 43493, 420, 290, 28573, 43493, 420, 859, 557, 1059, 2579, 225, 88, 76, 73, 1403, 3343, 318, 543, 12709, 720, 225, 88, 76, 73, 2639, 18, 203, 203, 829, 225, 88, 76, 73, 1715, 292, 32924, 16802, 20260, 16, 225, 88, 76, 73, 46192, 27587, 478, 736, 445, 1659, 410, 385, 225, 88, 76, 73, 6831, 38640, 46192, 27587, 6624, 16, 286, 787, 32924, 16802, 20260, 292, 17602, 17, 9182, 286, 502, 1284, 1962, 6229, 20325, 326, 28574, 39078, 1944, 5690, 696, 291, 225, 88, 76, 73, 836, 345, 8615, 292, 17939, 1234, 554, 286, 502, 442, 326, 225, 88, 76, 73, 1962, 292, 14312, 4074, 18, 738, 2639, 2542, 16, 517, 291, 629, 2925, 346, 2979, 292, 13402, 1216, 396, 287, 318, 6342, 292, 1579, 3255, 13835, 859, 203, 203, 49, 35529, 1180, 49, 410, 1978, 43493, 420, 203, 203, 521, 1524, 77, 82, 1180, 49, 410, 1978, 43493, 420, 292, 38568, 1524, 77, 82, 290, 3906, 24818, 1978, 16, 9377, 431, 21564, 7791, 1069, 457, 16, 3984, 345, 225, 69, 13105, 331, 291, 709, 12730, 666, 2692, 478, 424, 770, 4051, 225, 69, 27100, 1319, 292, 2697, 345, 371, 292, 27100, 1374, 396, 69, 5117, 87, 297, 1570, 13, 291, 478, 16, 6468, 331, 3969, 478, 18, 1238, 371, 609, 543, 2639, 6963, 16, 955, 359, 225, 88, 76, 73, 19488, 298, 335, 628, 43493, 420, 573, 2639, 3540, 225, 88, 76, 73, 5212, 286, 1928, 17, 1110, 297, 2697, 18, 203, 203, 1987, 203, 203, 3894, 303, 666, 11620, 203, 13540, 5106, 18780, 20686, 2, 0, 58, 1081, 69, 331, 18581, 24067, 18581, 417, 5484, 3703, 783, 3188, 286, 30, 4327, 28024, 69, 331, 18581, 24067, 18581, 417, 5484, 16, 225, 69, 1054, 33527, 292, 225, 88, 76, 73, 1890, 1021, 9385, 291, 13597, 23312, 16, 1890, 1021, 9385, 2307, 203, 28024, 69, 331, 18581, 24067, 18581, 417, 5484, 16, 225, 69, 1736, 33527, 292, 225, 88, 76, 73, 1890, 1021, 9385, 1689, 13597, 23312, 16, 1890, 1021, 9385, 2307, 203, 203, 3591, 568, 1563, 331, 18581, 24067, 18581, 7654, 3703, 396, 20404, 13, 2, 0, 32739, 55, 3403, 318, 225, 69, 3024, 7175, 17, 2959, 1344, 1310, 290, 3494, 592, 345, 2743, 3029, 286, 2247, 326, 16, 1184, 16, 1386, 16, 2072, 16, 290, 2787, 34495, 34176, 290, 309, 46455, 18, 12592, 55, 3403, 25629, 346, 3814, 8646, 290, 279, 5506, 7092, 16, 5048, 3029, 286, 1629, 34495, 34176, 9899, 290, 11754, 431, 519, 3814, 1907, 290, 3029, 423, 1528, 526, 3621, 16, 3304, 3201, 16, 290, 1491, 18662, 4057, 18, 409, 1250, 526, 1344, 9167, 2216, 8718, 3029, 2247, 326, 34495, 34176, 431, 1883, 595, 290, 2777, 290, 4390, 225, 69, 9167, 18, 20903, 16, 3029, 424, 1244, 225, 69, 1616, 286, 225, 69, 5323, 1616, 2928, 18, 1542, 2777, 225, 88, 76, 73, 1250, 504, 4895, 225, 69, 2914, 292, 1175, 2905, 18, 4946, 2372, 291, 10032, 5538, 18, 203, 203, 6355, 203, 32739, 55, 3403, 526, 16198, 21354, 292, 225, 88, 76, 73, 2251, 326, 225, 88, 76, 73, 1310, 291, 1374, 286, 1582, 279, 3717, 16, 5751, 16, 543, 1797, 836, 286, 1184, 26988, 18, 6176, 19239, 30659, 28485, 291, 225, 69, 421, 11074, 4211, 2983, 345, 689, 45, 715, 2004, 357, 385, 1671, 292, 17694, 345, 313, 882, 499, 286, 5255, 16926, 290, 1184, 225, 69, 5009, 16, 517, 650, 313, 1902, 499, 286, 942, 225, 69, 1331, 350, 16, 357, 703, 949, 313, 2021, 290, 1477, 1556, 30659, 290, 1220, 795, 17, 47239, 5292, 12592, 55, 3403, 291, 2987, 346, 1382, 291, 225, 88, 76, 73, 3024, 7175, 4254, 7649, 18, 409, 1250, 4895, 225, 69, 2914, 292, 1175, 27, 18, 4946, 2372, 291, 7966, 290, 6108, 332, 5538, 1133, 3008, 290, 2862, 18, 203, 203, 5678, 11303, 16, 225, 88, 76, 73, 1310, 504, 5990, 286, 1519, 5394, 2453, 225, 88, 76, 73, 1851, 2198, 16, 1315, 16, 2196, 1761, 16, 3024, 7175, 16, 1063, 2229, 2086, 16, 5511, 5894, 16, 5402, 16, 290, 9953, 18, 12592, 55, 3403, 504, 5699, 23869, 16, 1318, 34495, 10287, 4786, 290, 225, 69, 3041, 3039, 292, 5392, 16, 1318, 3029, 290, 1872, 16, 1318, 1331, 1039, 359, 292, 2827, 2730, 18, 22925, 4001, 345, 12592, 55, 3403, 2897, 279, 689, 2005, 15496, 291, 2277, 290, 21651, 292, 1133, 452, 9, 290, 1872, 9, 619, 1285, 6, 2453, 2862, 290, 2855, 18, 203, 203, 829, 2698, 2855, 225, 88, 76, 73, 1250, 3823, 345, 2677, 40557, 6678, 16534, 11899, 703, 1620, 12592, 55, 3403 ]

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

[ 522, 37967, 291, 279, 3570, 30, 203, 45, 424, 352, 88, 2466, 442, 504, 4527, 286, 530, 18, 314, 385, 1191, 286, 2315, 551, 4206, 291, 4967, 5813, 442, 602, 290, 915, 345, 2516, 504, 652, 2498, 1576, 423, 530, 18, 1979, 9592, 551, 1619, 16, 314, 644, 225, 69, 1616, 14522, 527, 346, 225, 69, 1648, 3709, 517, 225, 88, 76, 73, 8254, 1924, 314, 2897, 981, 530, 318, 915, 49680, 346, 14159, 7739, 314, 427, 1772, 2896, 286, 10284, 955, 2898, 314, 770, 8669, 17472, 286, 2203, 16, 2162, 803, 10119, 1673, 2483, 286, 339, 19593, 292, 225, 88, 76, 73, 1476, 292, 531, 1201, 290, 225, 88, 76, 73, 25238, 544, 427, 326, 531, 5149, 28117, 658, 7739, 314, 714, 39543, 290, 1162, 1778, 459, 813, 286, 13450, 530, 915, 670, 318, 1736, 292, 551, 969, 459, 915, 339, 823, 2298, 18, 203, 10481, 16, 359, 279, 17255, 292, 225, 88, 76, 73, 13434, 8241, 292, 13333, 291, 9061, 16, 225, 69, 2427, 2272, 1891, 1109, 15026, 34034, 2116, 3104, 292, 7728, 32249, 16, 2219, 1054, 19775, 16, 290, 6991, 1584, 13333, 550, 291, 715, 225, 88, 76, 73, 3529, 1285, 3976, 30, 616, 829, 1490, 720, 4600, 1477, 16, 1560, 13333, 643, 5588, 7739, 7870, 1778, 643, 36501, 1102, 290, 1220, 543, 643, 5981, 286, 10344, 286, 7886, 7739, 11535, 559, 4570, 4100, 568, 8792, 8269, 16, 359, 225, 69, 1504, 291, 19163, 322, 385, 12489, 290, 16412, 326, 6322, 286, 3613, 519, 3042, 1102, 1814, 13333, 3264, 643, 17868, 16412, 290, 35242, 2453, 9061, 27531, 26306, 291, 11372, 415, 274, 568, 644, 286, 4844, 225, 88, 76, 73, 37503, 292, 225, 69, 4570, 17416, 596, 385, 41207, 36501, 431, 1220, 1673, 1076, 203, 23208, 1921, 325, 4570, 29948, 290, 331, 37806, 203, 39167, 567, 30, 1507, 2427, 3498, 16, 7655, 6040, 968, 1220, 10012, 325, 4026, 20001, 4404, 18, 43097, 56, 65, 76, 73, 7655, 15506, 18283, 292, 1502, 1374, 290, 1848, 9015, 48114, 18, 2335, 11823, 292, 379, 26165, 880, 375, 408, 994, 359, 225, 88, 76, 73, 10012, 643, 4595, 1395, 5189, 554, 1891, 18, 616, 988, 644, 652, 8715, 1713, 1036, 1364, 4988, 290, 19786, 479, 1848, 7034, 3572, 1395, 928, 225, 88, 76, 73, 16653, 292, 554, 292, 225, 88, 76, 73, 4595, 10012, 18, 616, 988, 427, 874, 2387, 225, 69, 877, 2168, 346, 225, 88, 76, 73, 1491, 7655, 18, 8621, 225, 88, 76, 73, 9015, 385, 449, 8740, 18, 409, 5670, 3042, 3017, 291, 225, 88, 76, 73, 1389, 1154, 225, 88, 76, 73, 1172, 7134, 783, 427, 4835, 1716, 20844, 2196, 225, 88, 76, 73, 4889, 17, 38794, 6147, 1076, 6480, 1491, 3481, 928, 225, 88, 76, 73, 10012, 643, 4595, 286, 5407, 446, 225, 69, 5812, 8784, 10868, 30, 616, 521, 1858, 38794, 65, 4227, 1357, 10511, 225, 69, 14203, 346, 225, 88, 76, 73, 2930, 7655, 290, 41367, 225, 88, 76, 73, 1118, 292, 12833, 1275, 12312, 5638, 7577, 10553, 286, 1914, 15569, 1584, 225, 88, 76, 73, 10012, 18, 409, 927, 981, 225, 88, 76, 73, 3042, 29140, 16, 225, 69, 4964, 644, 652, 35437, 3902, 345, 225, 69, 8620, 8784, 4848, 703, 15005, 291, 2290, 292, 225, 88, 76, 73, 1220, 10012, 325, 4061, 16, 2427, 3436, 18, 409, 2151, 2891, 286, 10983, 225, 88, 76, 73, 10012, 286, 3349, 225, 88, 76, 73, 721, 8350, 1076, 1099, 286, 1656, 225, 88, 76, 73, 10012, 3900, 225, 88, 76, 73, 3046, 13833, 16, 43097, 88, 65, 76, 73, 1491, 2151, 1395, 6846, 32105, 421, 32347, 24870, 856, 16, 13324, 292, 225, 88, 76, 73, 37025, 292, 29948, 291, 12130, 16, 616, 6985, 87, 43700, 225, 88, 76, 73, 1149, 286, 427, 225, 88, 76, 73, 9015, 16, 388, 715, 9808, 357, 1342, 654, 3872, 18, 1238, 371, 5191, 292, 609, 1858, 38794, 65, 3152, 292, 8715, 345, 943, 352, 88, 427, 13833, 16, 517, 2554, 286, 6691, 18, 314, 715, 424, 352, 88, 1545, 1656, 544, 1825, 352, 88, 1424, 443, 427, 531, 10012, 18, 314, 424, 1545, 691, 1858, 88, 76, 73, 1491, 2151, 65, 18758, 443, 423, 1597, 225, 88, 76, 73, 13833, 691, 408, 1013, 225, 88, 76, 73, 4700, 326, 7038, 2580, 16, 517, 408, 1013, 624, 286, 13828, 2203, 1076, 5502, 286, 225, 69, 1891, 16, 442, 616, 293, 225, 88, 76, 73, 3297, 4336, 286, 2405, 10012, 291, 225, 69, 1651, 345, 3938, 543, 720, 377, 16, 1318, 29140, 291, 543, 720, 225, 69, 7134, 18, 14890, 857, 16, 12130, 644, 225, 69, 6956, 326, 279, 12818, 292, 7886, 345, 21115, 6556, 19271, 18, 1218, 8784, 3654, 1131, 427, 652, 28994, 225, 88, 76, 73, 11526, 292, 12312, 1690, 2453, 12130, 16, 3082, 6556, 36446, 1076, 203, 37390, 30, 4626, 544, 616, 768, 32724, 286, 225, 88, 76, 73, 4933, 292, 225, 69, 3042, 291, 225, 88, 76, 73, 1389, 1395, 6177, 292, 16824, 16360, 6190, 290, 12489, 4570, 4354, 290, 2402, 397, 282, 797, 13333, 16, 554, 291, 225, 88, 76, 73, 1357, 225, 88, 76, 73, 609, 291, 225, 88, 76, 73, 2245, 18, 5502, 286, 554, 1891, 16, 616, 17672, 1858, 19584, 65, 4354, 643, 394, 555, 7674, 16, 26032, 282, 290, 14317, 917, 325, 2883, 431, 225, 69, 8784, 7911, 1154, 225, 88, 76, 73, 1220, 17, 9591, 17, 7124, 3727, 16, 573, 385, 14847, 291, 10868, 292, 554, 292, 225, 88, 76, 73, 5119, 961, 1013, 359, 225, 69, 965, 3042, 18, 332, 1491, 3481, 3264, 928, 225, 88, 76, 73, 1240, 8868, 16802, 1504, 644, 652, 16021, 581, 225, 88, 76, 73, 3727, 325, 2429, 4600, 225, 69, 1162, 1477, 981, 357, 1837, 1128, 18, 8035, 7937, 225, 88, 76, 73, 4337, 286, 4060, 16, 7106, 979, 449, 4092, 1535, 225, 88, 76, 73, 3727, 644, 4093, 3846, 15062, 409, 3727, 8448, 291, 225, 88, 76, 73, 4227, 292, 17433, 1485, 893, 31662, 355, 18, 35598, 21503, 292, 709, 1872, 16, 1318, 3650, 371, 4570, 18, 616, 37, 2608, 11318, 326, 225, 88, 76, 73, 1150, 2157, 644, 2498, 1128, 291, 225, 69, 19430, 4227, 2754, 4164, 1395, 5189, 225, 69, 1891, 18, 203, 37 ]

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

[ 7306, 10473, 555, 9341, 7905, 291, 832, 286, 1025, 18, 409, 1041, 274, 21555, 292, 225, 88, 76, 73, 15888, 13442, 371, 479, 1552, 16, 2340, 2718, 554, 1378, 290, 1449, 291, 225, 69, 20588, 6020, 16, 573, 4614, 2405, 286, 225, 88, 76, 73, 37725, 292, 225, 88, 76, 73, 3035, 31, 15888, 13442, 2304, 2532, 359, 1856, 359, 225, 88, 76, 73, 1041, 274, 21555, 18, 13385, 274, 2333, 6659, 17, 790, 346, 7476, 16, 571, 28083, 728, 16, 2532, 18226, 2804, 31, 12046, 291, 225, 88, 76, 73, 42191, 641, 359, 1856, 359, 225, 88, 76, 73, 1041, 274, 21555, 4170, 17, 30688, 346, 6240, 2532, 21555, 16, 857, 36363, 2660, 290, 383, 225, 88, 76, 73, 2010, 274, 13867, 346, 11073, 17, 30688, 18226, 2804, 685, 10921, 18, 291, 26859, 290, 2532, 390, 25557, 18, 1913, 17370, 588, 36959, 16, 3911, 290, 3194, 3551, 4523, 18, 774, 475, 18, 33677, 296, 3640, 77, 30783, 18, 504, 225, 88, 76, 73, 1598, 1011, 368, 607, 7905, 292, 225, 88, 76, 73, 1948, 10210, 4196, 290, 225, 88, 76, 73, 18226, 2804, 325, 225, 88, 76, 73, 527, 6491, 514, 292, 225, 88, 76, 73, 15888, 13442, 581, 384, 10921, 18, 291, 26859, 18, 17370, 588, 36959, 18, 557, 475, 18, 4053, 416, 321, 567, 30783, 18, 225, 88, 76, 73, 11713, 371, 543, 39362, 29656, 290, 225, 88, 76, 73, 1731, 5321, 325, 225, 88, 76, 73, 527, 6491, 514, 292, 225, 88, 76, 73, 15888, 13442, 15362, 4093, 286, 225, 88, 76, 73, 3039, 292, 3035, 2712, 832, 286, 1025, 18, 2812, 2475, 2895, 18, 203, 203, 8997, 29493, 203, 6657, 1428, 10226, 280, 1018, 350, 77, 280, 1018, 350, 77, 396, 87, 4231, 24520, 16, 7716, 37217, 16, 33273, 13, 203, 6657, 1428, 10226, 280, 1018, 350, 77, 1367, 73, 3166, 9923, 468, 387, 16, 5969, 396, 82, 4307, 24520, 13, 203, 6657, 1428, 10226, 280, 1018, 350, 77, 5318, 380, 1254, 9088, 74, 16, 17138, 396, 32859, 17, 13289, 19261, 16, 14571, 13, 203, 6657, 1428, 10226, 280, 1018, 350, 77, 4053, 416, 321, 567, 30783, 893, 16, 21797, 396, 32859, 17, 13289, 24520, 13, 203, 203, 10469, 1253, 203, 521, 13764, 6725, 292, 29075, 1780, 12992, 18, 203, 203, 521, 30036, 3294, 325, 7093, 7354, 3860, 18, 203, 203, 35855, 203, 1266, 318, 225, 69, 2260, 292, 225, 88, 76, 73, 2452, 1428, 10226, 489, 391, 327, 4395, 3860, 1275, 774, 2682, 517, 821, 568, 18395, 954, 3841, 1069, 457, 16, 2730, 203, 203, 1987, 203, 203, 38395, 18209, 4184, 291, 22163, 203, 70, 1018, 350, 77, 2, 0, 521, 46147, 291, 8693, 296, 2409, 318, 225, 69, 11262, 1644, 7440, 1782, 5782, 431, 14774, 1399, 324, 94, 4628, 290, 13483, 995, 6353, 1985, 396, 77, 82, 522, 724, 1083, 2450, 13, 290, 31553, 19873, 18, 409, 28495, 385, 3055, 431, 18042, 8968, 297, 290, 2212, 21024, 8409, 425, 16, 11591, 423, 225, 88, 76, 73, 12180, 4738, 431, 3988, 18503, 18, 203, 203, 521, 1782, 34488, 969, 2196, 225, 69, 1275, 292, 33974, 42394, 596, 6862, 524, 291, 689, 16291, 296, 2409, 6, 396, 69, 21890, 383, 345, 595, 326, 27199, 9357, 325, 14537, 526, 14865, 2699, 12341, 1689, 13366, 348, 3568, 290, 14299, 859, 409, 1782, 318, 225, 69, 1246, 1806, 1133, 17427, 396, 21074, 1985, 873, 225, 69, 1840, 36124, 290, 1240, 17, 2378, 22727, 2268, 16, 290, 16090, 396, 47, 17631, 19873, 873, 225, 69, 35932, 3259, 596, 7922, 17427, 35476, 18, 1236, 4515, 279, 36124, 16, 290, 969, 3177, 27893, 326, 624, 1119, 359, 519, 43220, 41301, 16, 4619, 3173, 286, 225, 69, 1909, 292, 20440, 886, 18, 203, 203, 20078, 225, 203, 829, 1063, 2229, 2086, 16, 16090, 7465, 286, 225, 88, 76, 73, 7431, 780, 7644, 346, 633, 14939, 16, 22870, 16, 819, 23217, 279, 571, 766, 1116, 18520, 290, 291, 1704, 16876, 18, 16090, 4515, 2923, 290, 17427, 16, 279, 714, 40967, 1240, 17, 2378, 4002, 12289, 286, 5334, 22870, 38083, 1621, 16, 2719, 8948, 26312, 35791, 290, 6866, 326, 633, 18, 16090, 17137, 7838, 286, 633, 44516, 1201, 517, 7505, 291, 346, 17427, 16, 290, 650, 780, 7922, 950, 2158, 7254, 16, 458, 8248, 345, 458, 318, 449, 279, 36124, 16, 517, 770, 3667, 225, 69, 1308, 18, 1456, 27199, 9357, 225, 32524, 8693, 296, 2409, 326, 961, 225, 69, 3053, 827, 42394, 4194, 290, 787, 7254, 225, 17427, 18376, 16090, 286, 1952, 38532, 16, 1315, 522, 3845, 26501, 16, 596, 44092, 749, 326, 225, 69, 2354, 18, 16090, 19833, 225, 88, 76, 73, 19644, 12288, 292, 42394, 7471, 527, 33974, 18, 203, 203, 43315, 290, 16090, 371, 4619, 612, 5433, 423, 519, 7431, 290, 1651, 698, 225, 69, 2729, 39340, 1848, 18, 1979, 17427, 9795, 633, 286, 3954, 33974, 326, 950, 16, 16090, 290, 225, 88, 76, 73, 12289, 16, 33957, 16, 371, 9859, 431, 29648, 4662, 354, 18, 4662, 354, 9795, 16090, 16, 689, 43315, 526, 1427, 313, 9919, 326, 950, 1850, 16, 36572, 6144, 44332, 442, 318, 225, 69, 2078, 4225, 326, 17427, 290, 522, 40435, 18, 731, 857, 8248, 286, 16090, 670, 357, 526, 664, 650, 660, 318, 225, 69, 15181, 291, 8693, 296, 2409, 31, 225, 69, 15181, 318, 650, 225, 88, 76, 73, 33974, 3760, 325, 225, 88, 76, 73, 4725, 318, 2110, 290, 42394, 1922, 286, 2410, 325, 1040, 609, 16, 1541, 689, 10248, 669, 6, 388, 6774, 1761, 291, 286, 225, 88, 76, 73, 4060, 291, 2877, 326, 30749, 18, 4662, 354, 25008, 9982, 16090, 290, 780, 7465, 286, 17427, 16, 596, 5795, 286, 787, 7254, 543, 8945, 18, 16090, 4619, 5795, 286, 3991, 527, 359, 761, 18, 203, 203, 43315, 2415, 24446, 16090, 318, 1249, 290, 27277, 5993, 286, 633, 18, 26501, 9795, 670, 544, 459, 1766, 325, 290, 2221, 17427, 548, 359, 225, 69, 28133, 284, 16, 286, 573, 16090, 6462, 290, 29815, 345, 780, 459, 623, 225, 69, 1616, 18, 1790, 16, 16090, 2678, 608, 907, 633, 631, 42858, 1616, 819, 1792, 2605, 6133, 288, 42253, 18, 2864, 981, 17427, 318, 286, 2235, 26501, 291, 225, 69, 46977, 16, 458, 21427, 7693, 18, 26501, 318, 11955, 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, 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 ]

[ 225, 69, 877, 2067, 286, 8259, 2442, 544, 427, 8636, 1264, 455, 264, 728, 225, 88, 76, 73, 3529, 4206, 325, 17161, 14527, 35, 203, 14940, 15725, 383, 14219, 30, 3475, 3806, 325, 3275, 2429, 16, 3008, 203, 6, 4193, 313, 1033, 225, 69, 1670, 15193, 4272, 318, 2648, 286, 339, 1316, 286, 1422, 225, 69, 16855, 12507, 2072, 286, 225, 69, 2794, 325, 17161, 7274, 13199, 6144, 1238, 526, 345, 290, 225, 88, 76, 73, 2066, 660, 2747, 985, 225, 69, 17161, 7274, 7908, 2196, 225, 88, 76, 73, 1220, 8471, 18, 384, 371, 291, 2715, 19, 19398, 31536, 18, 409, 609, 318, 26333, 13963, 18, 203, 14940, 15725, 383, 14219, 30, 7122, 3806, 325, 3275, 2429, 16, 3008, 203, 3268, 469, 76, 16, 389, 1365, 9497, 1104, 12750, 463, 2657, 286, 225, 88, 76, 73, 1049, 3918, 290, 24641, 551, 30459, 5, 19367, 203, 48434, 30, 1858, 40, 1365, 9497, 1104, 12750, 463, 65, 453, 44864, 16, 9905, 5, 203, 18143, 17331, 267, 4944, 383, 14219, 30, 4425, 3806, 325, 3275, 2429, 16, 3008, 203, 2866, 16, 9314, 225, 88, 76, 73, 3537, 16, 828, 1244, 3981, 290, 2477, 16, 517, 313, 1919, 985, 11000, 286, 1902, 1085, 225, 88, 76, 73, 1547, 314, 1850, 3269, 313, 573, 6475, 5559, 345, 1935, 689, 36280, 6, 396, 5834, 318, 1902, 279, 14105, 325, 225, 88, 76, 73, 1604, 292, 225, 88, 76, 73, 4206, 1013, 291, 689, 4904, 30010, 2151, 4593, 643, 3055, 286, 723, 528, 18, 55, 18, 12963, 290, 16796, 3849, 7403, 4785, 2442, 388, 449, 286, 1241, 17161, 14527, 359, 225, 69, 14099, 3860, 1556, 1043, 5856, 1607, 292, 616, 52, 8770, 11269, 29706, 4801, 10270, 30, 332, 4791, 17, 43660, 4801, 19065, 27745, 550, 557, 1935, 16, 442, 2621, 431, 4607, 9053, 291, 225, 88, 76, 73, 1962, 292, 2621, 1100, 345, 225, 88, 76, 73, 2621, 313, 7847, 286, 385, 689, 44150, 2044, 388, 27317, 325, 760, 2731, 1556, 409, 689, 26080, 9053, 6, 596, 26675, 398, 2794, 371, 30, 478, 18, 5040, 21882, 16, 7458, 292, 6718, 16, 409, 1967, 31162, 1925, 16, 1495, 292, 8170, 556, 386, 270, 331, 18, 3866, 3729, 290, 12117, 4801, 19065, 26333, 13963, 16, 13885, 1173, 1824, 295, 472, 16, 12733, 17, 20910, 32920, 2916, 326, 13885, 1173, 25244, 203, 33806, 3655, 860, 383, 14055, 30, 2288, 3806, 325, 3275, 2429, 16, 3008, 203, 8060, 764, 5, 26333, 13963, 1143, 541, 442, 3177, 1054, 785, 286, 225, 88, 76, 73, 1866, 1756, 3117, 10297, 994, 869, 290, 519, 23524, 11, 7920, 18, 3037, 65, 26720, 345, 8020, 16, 225, 88, 76, 73, 5212, 345, 17161, 7274, 4074, 371, 14888, 431, 10983, 13199, 318, 28028, 1143, 6182, 345, 10983, 13199, 371, 568, 24863, 1966, 286, 3617, 16731, 31, 7337, 16731, 21750, 4831, 4746, 37536, 4164, 291, 225, 88, 76, 73, 602, 21750, 10983, 37566, 325, 225, 88, 76, 73, 4746, 17526, 1576, 21750, 10983, 33703, 40859, 21750, 10069, 23510, 21750, 10069, 17161, 14527, 18, 1366, 1001, 16, 1866, 84, 8770, 7274, 4074, 371, 449, 24863, 1966, 286, 3617, 16731, 11, 1143, 544, 2164, 24863, 1966, 286, 1228, 7359, 4221, 2964, 431, 3617, 16731, 18, 3037, 65, 203, 21, 384, 685, 7219, 203, 5956, 225, 69, 9028, 203, 21572, 16, 706, 17, 46859, 388, 513, 289, 3096, 353, 3981, 459, 339, 17492, 18, 5032, 7532, 1143, 203, 1543, 659, 286, 339, 19391, 291, 286, 1244, 225, 69, 3465, 18, 27248, 2726, 225, 88, 76, 73, 1736, 13867, 388, 691, 313, 2164, 631, 16, 3945, 1036, 18, 2, 0, 7148, 1302, 16, 408, 4434, 225, 69, 35054, 6384, 291, 225, 88, 76, 73, 14380, 1297, 345, 25664, 709, 15785, 286, 225, 88, 76, 73, 14380, 6172, 2517, 19582, 5760, 51, 16, 573, 2743, 16111, 292, 1845, 4073, 12021, 14380, 9618, 396, 12913, 1143, 203, 38, 445, 5760, 51, 14341, 431, 5634, 45175, 22449, 359, 24776, 1892, 6727, 1900, 1798, 203, 14731, 99, 10148, 3143, 2079, 31631, 99, 22360, 383, 21516, 25331, 277, 811, 13847, 4163, 18411, 72, 5967, 309, 74, 375, 203, 38, 445, 5760, 20589, 15821, 12556, 5161, 286, 1669, 18, 4946, 34253, 1846, 4886, 18, 19582, 5760, 51, 23401, 2000, 328, 411, 7577, 1099, 798, 14380, 1504, 1592, 24414, 1172, 1302, 16, 19582, 5760, 51, 318, 8751, 225, 69, 3290, 1177, 18, 409, 541, 17, 11314, 14380, 6172, 1143, 203, 8878, 80, 1609, 8790, 4614, 524, 292, 34253, 286, 1386, 17520, 203, 14731, 99, 10148, 3143, 2079, 31631, 99, 22360, 383, 43769, 16525, 282, 811, 13847, 18411, 72, 5967, 35888, 24586, 2953, 2587, 16729, 2517, 2587, 203, 38, 445, 5760, 51, 16, 225, 69, 16729, 8790, 16, 504, 18140, 225, 88, 76, 73, 16789, 4793, 16282, 396, 91, 29588, 13, 291, 709, 4013, 346, 770, 1583, 1736, 290, 279, 8192, 1583, 16, 1318, 16282, 396, 29588, 13, 383, 225, 88, 76, 73, 2780, 345, 459, 339, 1013, 286, 1386, 17520, 18, 557, 225, 69, 5491, 5747, 16, 16048, 14380, 35808, 18, 2476, 8267, 968, 225, 88, 76, 73, 2163, 290, 9962, 524, 345, 14380, 2517, 30185, 915, 644, 286, 1386, 2313, 9, 4955, 409, 1244, 1143, 203, 18377, 2967, 2079, 203, 38, 2126, 1827, 272, 12566, 3086, 5142, 27583, 342, 1507, 19582, 5760, 51, 16, 1594, 738, 35610, 11535, 559, 14380, 7098, 35, 203, 14731, 99, 10148, 2967, 2079, 31631, 99, 22360, 383, 811, 13847, 11782, 71, 11782, 71, 7528, 587, 18411, 72, 5967, 14641, 225, 1662, 309, 1211, 14641, 225, 1662, 21297, 2595, 203, 37, 1648, 1319, 292, 361, 2126, 1827, 272, 30011, 3586, 26147, 371, 14172, 48133, 325, 225, 88, 76, 73, 16729, 2517, 19582, 5760, 51, 16, 424, 442, 46642, 698, 225, 69, 7785, 292, 225, 88, 76, 73, 2218, 1928, 17, 15430, 878, 15033, 1297, 35, 361, 2126, 1827, 272, 26147, 1456, 16319, 2924, 27583, 342, 1099, 19821, 22114, 14336, 1997, 18070, 2723, 9, 4143, 1558, 17, 10077, 2720, 19582, 5760, 51, 318, 225, 69, 2517, 345, 32295, 524, 24776, 7388, 286, 2798, 1584, 14380, 2366, 683, 886, 18, 18250, 16, 2798, 424, 1143, 2, 0, 45, 2632, 449, 541, 3329, 6566, 286, 717, 16, 290, 314, 424, 11013, 2842, 1870, 357, 18, 314, 2842, 1870, 357, 16 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 18, 203, 203, 521, 8947, 18868, 3232, 2897, 225, 88, 76, 73, 3593, 1943, 225, 88, 76, 73, 13231, 298, 2526, 290, 40165, 1220, 1864, 31852, 1434, 225, 88, 76, 73, 6035, 6017, 18, 1507, 225, 88, 76, 73, 12107, 292, 225, 88, 76, 73, 17283, 9290, 16, 45483, 5401, 225, 69, 3173, 1275, 346, 797, 609, 13009, 819, 29690, 1576, 423, 225, 88, 76, 73, 3593, 4467, 526, 1275, 18, 8035, 6133, 423, 522, 962, 2255, 16, 45483, 3838, 346, 225, 88, 76, 73, 1651, 18, 409, 17747, 7354, 47326, 17, 58, 356, 349, 649, 2122, 32502, 819, 225, 88, 76, 73, 45483, 1275, 286, 3613, 225, 88, 76, 73, 4248, 292, 45483, 526, 25187, 290, 3593, 4467, 5186, 300, 6577, 18, 45483, 12551, 225, 88, 76, 73, 3647, 1695, 291, 40142, 1128, 16, 14666, 17, 24536, 6042, 819, 225, 88, 76, 73, 3232, 6651, 5809, 5290, 603, 1135, 73, 16, 573, 3842, 950, 286, 943, 1001, 225, 88, 76, 73, 8325, 16483, 431, 2176, 6042, 658, 9506, 395, 3115, 262, 18, 45483, 526, 5148, 16, 2158, 225, 88, 76, 73, 3593, 1083, 1576, 423, 5186, 300, 6577, 290, 40744, 471, 277, 962, 15272, 16, 7345, 950, 225, 88, 76, 73, 25238, 292, 225, 88, 76, 73, 5224, 12901, 4329, 18, 203, 203, 521, 44224, 1532, 292, 225, 88, 76, 73, 3593, 2765, 2176, 30629, 31852, 981, 33629, 291, 225, 88, 76, 73, 12478, 292, 1594, 890, 5484, 18, 1507, 225, 88, 76, 73, 12107, 292, 225, 88, 76, 73, 363, 682, 710, 7103, 16, 5809, 5290, 603, 1135, 73, 8267, 1576, 290, 6089, 527, 286, 225, 88, 76, 73, 4467, 325, 225, 88, 76, 73, 2441, 981, 4499, 522, 1361, 12563, 3232, 18, 13381, 16, 2578, 5809, 5290, 603, 1135, 73, 16, 5186, 300, 6577, 3867, 1579, 1631, 286, 3727, 45483, 325, 225, 88, 76, 73, 19932, 292, 225, 88, 76, 73, 8125, 538, 16286, 23312, 31, 2375, 16, 45483, 7473, 479, 292, 522, 7505, 290, 225, 88, 76, 73, 797, 26021, 286, 225, 88, 76, 73, 3647, 291, 225, 88, 76, 73, 1150, 1275, 18, 13964, 1946, 16, 225, 88, 76, 73, 3593, 526, 2243, 927, 291, 225, 88, 76, 73, 13231, 298, 2526, 16, 385, 1638, 790, 431, 4436, 3928, 18, 332, 2182, 7407, 1275, 292, 1220, 385, 2123, 225, 69, 2645, 9109, 359, 225, 88, 76, 73, 1179, 2639, 15182, 37933, 18000, 2578, 291, 225, 69, 9871, 1275, 18, 1456, 4753, 2924, 17233, 526, 5224, 16277, 22870, 34708, 77, 524, 17, 1755, 4815, 282, 522, 797, 6552, 2182, 7407, 1592, 286, 1419, 522, 724, 4622, 4928, 3232, 1419, 18, 203, 203, 1624, 225, 88, 76, 73, 38040, 3232, 2483, 16, 225, 88, 76, 73, 15661, 23039, 3110, 544, 22102, 225, 69, 1716, 927, 819, 1220, 2298, 7767, 291, 225, 88, 76, 73, 13231, 298, 2526, 290, 18973, 18000, 383, 225, 69, 1928, 17, 356, 28565, 8193, 326, 658, 1220, 17, 9482, 292, 225, 88, 76, 73, 3232, 18, 35735, 2483, 286, 3727, 290, 1139, 2182, 7407, 3074, 346, 581, 225, 286, 499, 31, 2375, 16, 225, 88, 76, 73, 470, 7833, 1039, 11, 3201, 307, 15237, 291, 479, 7509, 290, 4734, 326, 225, 69, 20513, 3647, 345, 385, 4619, 1825, 431, 40139, 18908, 683, 1428, 16, 1482, 357, 225, 88, 76, 73, 1361, 12563, 3232, 1419, 326, 1456, 4753, 17, 6661, 17233, 18, 4150, 225, 88, 76, 73, 25596, 3232, 16, 8639, 17, 45373, 12920, 16939, 5292, 279, 3727, 819, 225, 88, 76, 73, 3173, 1275, 3846, 225, 88, 76, 73, 11178, 292, 225, 88, 76, 73, 3024, 22870, 7103, 18, 7870, 13009, 3989, 16939, 981, 225, 88, 76, 73, 894, 292, 225, 88, 76, 73, 2243, 11178, 291, 351, 2664, 19479, 16, 517, 16939, 7434, 624, 1846, 325, 291, 225, 88, 76, 73, 11178, 290, 18000, 225, 88, 76, 73, 2243, 225, 3976, 286, 1419, 225, 88, 76, 73, 3232, 18, 8333, 284, 290, 1254, 17836, 1881, 69, 4642, 286, 4715, 658, 10982, 6042, 325, 45483, 819, 544, 12489, 325, 225, 88, 76, 73, 2243, 11178, 18, 8035, 225, 69, 7785, 1434, 225, 88, 76, 73, 2243, 11425, 262, 292, 3232, 7191, 16, 225, 88, 76, 73, 1179, 1962, 4642, 286, 1914, 225, 69, 8417, 20513, 345, 385, 1825, 431, 6340, 5205, 18, 203, 203, 829, 225, 88, 76, 73, 7191, 17, 14081, 1532, 16, 225, 88, 76, 73, 2639, 15182, 37933, 643, 225, 69, 641, 292, 225, 88, 76, 73, 1150, 3173, 1275, 1535, 225, 88, 76, 73, 2243, 11178, 286, 225, 88, 76, 73, 15250, 3647, 291, 363, 7550, 18, 1254, 17836, 1881, 69, 12489, 225, 423, 225, 88, 76, 73, 3647, 290, 770, 4266, 609, 13009, 643, 1316, 286, 1031, 16, 1315, 8333, 284, 290, 45483, 18, 4020, 225, 1708, 16, 225, 88, 76, 73, 33970, 454, 12489, 1001, 290, 770, 45483, 290, 8333, 284, 6497, 346, 950, 18, 8035, 2314, 7509, 431, 1254, 17836, 1881, 69, 16, 225, 88, 76, 73, 1275, 18000, 1511, 527, 286, 225, 88, 76, 73, 3647, 18, 1591, 658, 225, 286, 499, 16, 8333, 284, 43125, 225, 69, 20513, 345, 1825, 950, 225, 88, 76, 73, 3232, 18, 8333, 284, 526, 2358, 325, 225, 88, 76, 73, 2037, 3459, 950, 286, 1361, 1128, 3758, 18, 409, 2243, 3232, 292, 225, 88, 76, 73, 9403, 49604, 294, 11, 1266, 10311, 385, 225, 69, 225, 1682, 595, 4972, 18, 5186, 300, 6577, 16, 596, 644, 21104, 291, 225, 88, 76, 73, 3529, 3232, 16, 979, 449, 894, 290, 11138, 225, 88, 76, 73, 3593, 18, 45483, 5419, 524, 225, 88, 76, 73, 1361, 17, 4294, 1068, 6018, 16, 11992, 6082, 30783, 893, 16, 431, 22677, 6042, 286, 1419, 225, 88, 76, 73, 927, 290, 225, 88, 76, 73, 3758, 3593, 3020, 18, 557, 1870, 541, 16, 45483, 2154, 225, 88, 76, 73, 724, 6982, 1010, 286, 1419, 225, 88, 76, 73, 49604, 294, 11, 1266, 10311, 18, 409, 609, 23578, 6269, 643, 5162, 431, 1928, 17, 19392, 13009, 326, 225, 88, 76, 73, 1361, 595, 291, 225, 88, 76, 73, 2084, 292, 225, 88, 76, 73, 3593, 18, 203, 203, 17672, 13009, 6892, 3080, 3232, 20815, 30, 10332, 77, 82, 396 ]

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

[ 1878, 8237, 203, 4457, 203, 24, 14, 409, 24127, 18, 640, 586, 1473, 16, 395, 43, 28, 1260, 17311, 203, 825, 203, 4884, 203, 22400, 3275, 19, 28, 203, 6937, 18, 564, 3375, 203, 22400, 3275, 19, 28, 203, 3859, 18, 1878, 8237, 203, 5959, 203, 25, 409, 14343, 350, 12737, 16, 9656, 16, 453, 60, 22, 1669, 13730, 203, 1878, 203, 22562, 203, 22400, 3275, 19, 28, 203, 6688, 18, 564, 3375, 203, 14464, 2357, 19, 28, 203, 2566, 18, 1878, 8237, 203, 7764, 203, 26, 14, 409, 24127, 16, 361, 11234, 16, 453, 60, 1758, 384, 55, 60, 203, 3021, 203, 40742, 203, 22400, 3275, 19, 28, 203, 2288, 18, 564, 3375, 203, 8830, 2399, 19, 28, 203, 6834, 18, 564, 3375, 203, 9940, 18, 25, 203, 27, 14, 3537, 15643, 12737, 16, 10022, 40286, 16, 40990, 26, 1025, 46, 62, 203, 2721, 203, 37133, 203, 22400, 3275, 19, 28, 203, 2721, 18, 564, 8237, 203, 8830, 2399, 19, 28, 203, 1537, 18, 564, 3375, 203, 10575, 18, 25, 203, 42, 9857, 2694, 262, 383, 225, 88, 76, 73, 3481, 292, 3703, 26934, 396, 24348, 406, 26934, 5900, 12737, 16, 23340, 27, 1025, 34312, 13, 203, 2455, 203, 1758, 24, 203, 22400, 3275, 19, 28, 203, 2419, 18, 564, 8237, 203, 8830, 2399, 19, 28, 203, 1758, 18, 1878, 8237, 203, 3819, 203, 12904, 325, 225, 88, 76, 73, 2304, 20179, 16, 551, 2204, 1095, 4918, 286, 764, 664, 442, 18, 203, 11444, 203, 45823, 203, 52, 565, 8734, 4903, 14, 12794, 4903, 4903, 203, 55, 203, 20, 203, 1180, 696, 696, 20061, 1136, 18, 1878, 321, 203, 21, 203, 4299, 203, 24, 14375, 1025, 34853, 1872, 21419, 377, 606, 20061, 1124, 18, 564, 3288, 203, 22, 203, 4299, 203, 24, 14375, 1025, 34853, 1872, 21419, 377, 606, 9938, 12668, 18, 1878, 321, 203, 23, 203, 4309, 203, 24, 14375, 1148, 34853, 377, 606, 9938, 12165, 18, 1878, 321, 203, 24, 203, 825, 203, 24, 14375, 848, 34853, 377, 606, 9938, 1583, 18, 1878, 3288, 203, 25, 203, 1878, 203, 23, 14375, 1136, 34853, 377, 606, 4857, 14023, 18, 1878, 321, 203, 26, 203, 3021, 203, 23, 14375, 1188, 34853, 1872, 21419, 377, 606, 4857, 1519, 18, 564, 3288, 203, 27, 203, 2721, 203, 23, 14375, 832, 34853, 1872, 21419, 377, 606, 4857, 1946, 18, 1878, 3288, 203, 42, 203, 2455, 203, 23, 14375, 848, 34853, 1872, 21419, 696, 4857, 3275, 18, 564, 3288, 203, 12, 14, 395, 7848, 286, 15622, 16196, 326, 1709, 20210, 13, 203, 1200, 703, 1873, 291, 715, 658, 225, 69, 4099, 3597, 3647, 290, 2743, 1148, 34853, 326, 10263, 19, 45772, 383, 5329, 16031, 11437, 803, 783, 3910, 18, 203, 1371, 314, 15544, 13726, 429, 583, 708, 442, 3593, 459, 499, 16, 3300, 383, 225, 88, 76, 73, 26934, 42850, 383, 1136, 18, 1878, 321, 290, 857, 3427, 754, 396, 69, 5449, 5322, 13, 3023, 286, 9272, 377, 383, 21379, 1978, 18, 314, 352, 81, 2648, 286, 17367, 12556, 1036, 326, 1518, 290, 857, 4336, 325, 286, 9272, 384, 1737, 225, 88, 76, 73, 26934, 12792, 650, 357, 504, 40889, 225, 88, 76, 73, 1830, 359, 357, 3464, 17263, 290, 34327, 981, 13780, 1036, 383, 1876, 981, 5369, 290, 857, 3427, 4353, 9272, 23, 827, 314, 783, 6549, 279, 3597, 388, 797, 352, 87, 3400, 18, 1366, 16, 1856, 225, 88, 76, 73, 14878, 318, 2838, 5375, 359, 314, 352, 315, 1177, 225, 88, 76, 73, 26934, 12792, 2313, 225, 69, 2735, 292, 1631, 18, 203, 2856, 9272, 23, 383, 50149, 16, 709, 823, 5375, 9133, 359, 314, 1290, 754, 551, 17275, 292, 8376, 24438, 225, 88, 76, 73, 26399, 292, 15103, 1720, 352, 87, 2279, 15383, 311, 573, 318, 15716, 1054, 1358, 286, 225, 88, 76, 73, 5428, 3243, 290, 1085, 225, 88, 76, 73, 5557, 754, 8376, 16, 10439, 1047, 322, 3032, 1576, 423, 225, 88, 76, 73, 5428, 383, 1967, 1472, 1215, 290, 857, 4353, 640, 586, 1473, 18, 996, 357, 352, 87, 1060, 4201, 6213, 359, 5812, 16, 357, 352, 87, 225, 69, 5090, 2145, 326, 1518, 290, 1257, 290, 1651, 4353, 9272, 25, 18, 314, 352, 81, 17396, 225, 88, 76, 73, 8193, 459, 2859, 819, 2313, 4638, 290, 442, 882, 225, 69, 14840, 1532, 423, 640, 586, 1473, 286, 9656, 517, 905, 339, 5375, 286, 1059, 596, 427, 1177, 225, 88, 76, 73, 26934, 50223, 388, 26934, 12792, 18, 203, 37, 5090, 1716, 383, 9272, 25, 783, 339, 2505, 359, 408, 783, 339, 698, 225, 88, 76, 73, 1361, 1876, 981, 225, 88, 76, 73, 2243, 4336, 754, 9272, 26, 16, 1148, 290, 286, 225, 88, 76, 73, 3647, 10541, 715, 981, 225, 88, 76, 73, 2630, 1876, 18, 314, 352, 81, 449, 5375, 346, 442, 1172, 3512, 819, 9656, 541, 225, 69, 661, 360, 783, 339, 291, 1374, 359, 314, 1545, 357, 3464, 225, 69, 1308, 3982, 262, 359, 225, 88, 76, 73, 26934, 3703, 290, 43627, 31026, 18, 203, 10608, 225, 69, 6349, 1095, 16, 313, 459, 427, 286, 339, 7173, 325, 225, 88, 76, 73, 927, 359, 313, 783, 659, 279, 3597, 388, 797, 352, 87, 3400, 4164, 720, 3855, 388, 313, 783, 1156, 8207, 290, 12417, 290, 4336, 754, 18, 314, 459, 10174, 629, 4027, 314, 385, 2123, 981, 225, 88, 76, 73, 26934, 14699, 286, 6549, 383, 2070, 279, 2021, 3400, 325, 225, 88, 76, 73, 724, 1876, 16, 442, 2406, 761, 326, 530, 18, 203, 1266, 318, 2613, 3100, 2586, 286, 623, 286, 225, 69, 5329, 6262, 326, 3400, 715, 326, 225, 88, 76, 73, 2848, 292, 1597, 2170, 1060, 286, 2029, 398, 785, 18, 8240, 16, 14475, 785, 286, 551, 26934, 14699, 1185, 314, 979, 1934, 290, 3400, 291, 225, 69, 1962, 326, 279, 3597, 388, 797, 1133, 5329, 16031, 1249, 797, 1803, 22405, 396, 582, 286, 8111, 325, 290, 554, 286, 1702, 3000, 13, 517, 357, 1919, 352, 88, 1142, 548, 290, 819, 278, 1387, 277, 1060, 326, 2333, 279, 3597, 2586, 286, 623, 3974, 16, 314, 15412, 4353, 225, 88, 76, 73, 5329, 6262, 18, 203, 45472, 426, 203, 1543, 905, 479, 339, 4734, 286, 2315, 442, 1465, 7182, 517, 691, 660 ]

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

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

[ 290, 5703, 5524, 396, 5816, 16, 326, 1953, 16, 363, 18, 38036, 2836, 409, 5595, 4277, 292, 5504, 4433, 16, 14106, 203, 16, 388, 478, 18, 40564, 2836, 5595, 19900, 337, 587, 290, 5049, 10415, 16, 8694, 203, 859, 409, 2257, 6954, 1201, 21393, 9972, 292, 225, 88, 76, 73, 1924, 459, 14639, 339, 1046, 16, 359, 4875, 6926, 1875, 631, 2579, 286, 1598, 18, 1790, 16, 554, 909, 318, 2017, 30, 7896, 292, 2684, 291, 709, 2637, 16, 4482, 16, 6677, 16, 388, 1139, 16, 691, 1843, 1185, 318, 654, 3796, 857, 3366, 371, 1036, 286, 2037, 18, 5750, 568, 332, 9380, 11588, 11350, 27597, 45, 3824, 26869, 43409, 31, 34485, 7084, 44, 21585, 12076, 6809, 2053, 11350, 25171, 35307, 31, 34485, 7084, 44, 21585, 26334, 31066, 9723, 28775, 18, 203, 37, 26134, 28798, 16, 32472, 292, 225, 1556, 332, 26134, 292, 36061, 18, 1913, 848, 9588, 18, 2079, 203, 6, 16279, 16, 32472, 292, 225, 1556, 332, 26134, 292, 36061, 18, 1913, 396, 7751, 848, 16, 2079, 859, 203, 6, 16279, 16, 32472, 292, 225, 1556, 332, 26134, 292, 36061, 18, 1913, 24628, 2485, 14605, 16, 2079, 423, 203, 6314, 543, 581, 31894, 6542, 203, 39, 3362, 6542, 203, 75, 1052, 313, 225, 88, 76, 73, 2955, 286, 271, 39982, 1670, 22873, 18, 1099, 955, 544, 1102, 5595, 8583, 18016, 2836, 5595, 2557, 6229, 526, 9253, 12560, 423, 225, 88, 76, 73, 548, 292, 31700, 28154, 3841, 1607, 261, 632, 93, 526, 548, 325, 2639, 2557, 6229, 573, 3884, 225, 88, 76, 73, 1004, 292, 225, 88, 76, 73, 3283, 17, 1102, 35413, 5595, 2836, 5595, 16, 35413, 21192, 371, 6930, 491, 1263, 326, 29438, 636, 29073, 5385, 16, 6460, 16, 24530, 16, 290, 15634, 1434, 4292, 18, 1783, 3796, 1102, 26338, 5595, 2836, 409, 3463, 9812, 1201, 424, 339, 7112, 2454, 359, 225, 69, 3564, 19, 10898, 16, 225, 69, 4252, 19, 10178, 16, 290, 519, 1528, 18, 1790, 16, 442, 11516, 11390, 2114, 2166, 1102, 26884, 17, 429, 866, 21192, 2836, 26884, 17, 17252, 866, 21192, 409, 3162, 292, 10906, 17, 429, 866, 3366, 3118, 291, 1734, 325, 3366, 291, 5662, 1159, 16744, 18, 409, 3463, 385, 2318, 286, 697, 3633, 1102, 3624, 40591, 42359, 2836, 3624, 40591, 10578, 318, 554, 14201, 292, 225, 88, 76, 73, 4196, 4175, 292, 684, 40591, 1959, 18, 409, 3463, 684, 40591, 1959, 9616, 1102, 2, 0, 1266, 352, 87, 554, 909, 286, 4076, 4540, 650, 544, 352, 264, 479, 291, 225, 88, 76, 73, 1150, 1128, 383, 225, 88, 76, 73, 1150, 595, 18, 1790, 16, 650, 313, 1177, 225, 69, 3344, 932, 346, 1962, 4540, 16, 1228, 424, 623, 225, 69, 1171, 543, 5943, 18, 2352, 770, 371, 313, 4887, 449, 325, 225, 88, 76, 73, 1150, 1616, 1637, 359, 624, 16, 313, 1380, 568, 427, 4540, 17627, 658, 225, 69, 2692, 292, 3345, 290, 2547, 18, 17125, 624, 2087, 352, 88, 715, 1940, 15058, 624, 290, 1482, 1336, 544, 352, 264, 28292, 325, 225, 88, 76, 73, 1512, 16, 517, 568, 5892, 708, 286, 7404, 717, 290, 3091, 1133, 3345, 286, 5657, 9486, 18, 203, 4139, 371, 685, 1228, 313, 424, 502, 286, 5895, 4076, 1962, 4540, 291, 398, 3344, 932, 18, 203, 21, 18, 1397, 2017, 325, 398, 6663, 203, 3134, 292, 225, 88, 76, 73, 745, 5943, 2994, 292, 1597, 1962, 4540, 318, 650, 717, 943, 352, 88, 688, 670, 352, 87, 3855, 292, 624, 18, 1108, 1380, 1545, 670, 519, 1616, 318, 1641, 387, 339, 6155, 6824, 292, 8227, 524, 357, 1641, 5856, 1490, 2017, 325, 519, 1398, 292, 23615, 18, 203, 1905, 1953, 16, 811, 670, 6926, 502, 544, 659, 286, 3369, 313, 16, 10913, 650, 424, 544, 744, 6678, 5133, 325, 519, 884, 35, 1498, 660, 2170, 325, 1040, 1616, 1637, 596, 7856, 359, 962, 1083, 388, 371, 544, 479, 2123, 225, 88, 76, 73, 1150, 1398, 292, 7704, 35, 5721, 318, 225, 88, 76, 73, 32660, 16, 691, 660, 318, 554, 35, 1287, 5980, 905, 544, 7418, 346, 313, 581, 3360, 290, 670, 1216, 502, 313, 659, 35, 1838, 371, 225, 88, 76, 73, 26010, 544, 659, 286, 1446, 290, 650, 502, 544, 659, 286, 1446, 624, 35, 1838, 371, 398, 10699, 286, 225, 88, 76, 73, 4540, 325, 225, 88, 76, 73, 1616, 1637, 35, 203, 32311, 398, 1962, 4540, 225, 69, 2017, 2251, 292, 398, 6663, 1767, 357, 3717, 326, 624, 286, 11497, 286, 6375, 291, 225, 88, 76, 73, 2780, 16, 2655, 720, 9140, 691, 544, 659, 286, 1976, 313, 18, 601, 568, 2418, 624, 346, 225, 69, 7823, 326, 8227, 524, 519, 10373, 18, 9514, 16, 357, 13400, 883, 624, 345, 660, 371, 6663, 292, 313, 345, 313, 352, 635, 1446, 359, 761, 16, 955, 359, 7669, 544, 427, 225, 88, 76, 73, 1054, 2991, 326, 519, 4786, 18, 203, 22, 18, 39513, 398, 2991, 203, 5997, 3344, 2076, 1146, 787, 8139, 4821, 16, 955, 359, 10777, 4914, 16, 286, 1877, 1216, 18, 1783, 8139, 4821, 1937, 313, 286, 2072, 1648, 12907, 292, 16785, 290, 949, 527, 225, 69, 1171, 292, 398, 595, 715, 286, 1209, 527, 17, 273, 17, 7206, 325, 670, 352, 87, 1191, 325, 18, 1591, 3080, 1616, 3345, 16, 225, 88, 76, 73, 4506, 424, 1620, 571, 1010, 505, 545, 18, 203, 4280, 1477, 16, 660, 371, 1952, 5882, 290, 5866, 345, 424, 339, 1013, 286, 1877, 1216, 290, 7418, 346, 1962, 4540, 18, 828, 424, 3433, 5692, 286, 1962, 4540, 16, 1468, 624, 286, 6767, 1415, 290, 1877, 5323, 16785, 291, 1229, 595, 18, 203, 521, 1216, 318, 4034, 940, 543, 2801, 290, 9935, 16, 290, 9975, 968, 325, 225, 88, 76, 73, 2972, 292, 5071, 16785, 290, 609, 10021, 18, 601, 568, 2418, 313, 346, 225, 69, 2315, 14105, 4692, 16, 541, 313, 427, 7446, 292, 398, 1250, 352, 87, 2580, 16, 291, 1715, 660, 371, 1801, 654, 2257, 18, 203, 23, 18, 41454, 4540, 203, 3134, 292, 225, 88, 76, 73, 910, 1228, 313, 424, 502, 286, 4076, 1962, 4540, 318, 2359, 544, 479, 688, 544, 371, 641, 292, 225, 88, 76, 73, 962, 290, 1156, 10479, 431, 313, 18, 738, 1817, 961, 2017 ]

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

[ 1277, 18, 557, 745, 12150, 16, 3197, 596, 643, 18829, 1584, 225, 88, 76, 73, 1277, 291, 225, 69, 3529, 16185, 602, 371, 449, 3508, 286, 225, 88, 76, 73, 1474, 1277, 18, 738, 2626, 15902, 292, 4709, 326, 1474, 378, 17, 21, 38, 14255, 16111, 16, 2684, 291, 225, 88, 76, 73, 3245, 292, 7492, 326, 1474, 378, 17, 21, 38, 4540, 16, 290, 745, 42702, 326, 2684, 292, 378, 17, 21, 38, 10809, 290, 42702, 326, 36307, 7492, 291, 225, 69, 1361, 378, 17, 21, 38, 2067, 18, 203, 16991, 3227, 10511, 431, 1277, 28291, 4057, 18, 378, 17, 21, 38, 42702, 326, 7492, 383, 6297, 292, 2930, 2388, 388, 3305, 19, 1387, 31640, 14283, 14252, 16, 14283, 1734, 4057, 16, 290, 25707, 1734, 4057, 371, 1277, 17, 1339, 17630, 16, 290, 783, 339, 10511, 654, 595, 2453, 225, 88, 76, 73, 602, 18, 203, 4221, 39, 3048, 459, 9969, 543, 1216, 581, 225, 88, 76, 73, 1277, 6855, 1149, 291, 225, 88, 76, 73, 2754, 4208, 18, 14034, 1630, 459, 1369, 2917, 1216, 359, 357, 4515, 1349, 18, 203, 1905, 543, 1216, 16, 2330, 1976, 398, 14034, 1630, 8886, 388, 2368, 203, 2598, 13118, 203, 32197, 11134, 22145, 335, 4395, 203, 42790, 203, 12, 24, 2173, 13, 5000, 21, 17, 2905, 4472, 203, 7995, 203, 24094, 203, 9158, 203, 29207, 203, 22375, 203, 34886, 203, 27585, 292, 5577, 203, 13664, 22346, 4597, 17, 2079, 16, 14034, 1630, 10993, 954, 37316, 29900, 16, 33740, 18, 1558, 9712, 26181, 18, 13080, 21156, 18, 203, 24842, 27248, 203, 24842, 27248, 203, 988, 787, 9984, 325, 531, 1622, 286, 1422, 313, 225, 88, 76, 73, 745, 5107, 1185, 431, 21601, 398, 12187, 290, 10174, 8662, 18, 2519, 10107, 616, 44011, 4314, 313, 12258, 286, 225, 88, 76, 73, 787, 292, 12076, 225, 88, 76, 73, 9984, 18, 1790, 313, 783, 2403, 32664, 17567, 286, 1369, 225, 69, 8522, 12258, 18, 203, 22049, 694, 6259, 2710, 6633, 15390, 203, 22375, 954, 29665, 7532, 203, 21173, 203, 22375, 23875, 203, 2, 0, 56, 4930, 17488, 29914, 4119, 292, 13344, 504, 6568, 319, 3014, 282, 16954, 768, 1082, 359, 225, 88, 76, 73, 631, 3962, 2639, 292, 225, 88, 76, 73, 7704, 18, 203, 829, 1408, 286, 522, 6897, 1185, 291, 35051, 292, 7019, 16, 3983, 290, 2155, 11785, 16, 16954, 768, 1082, 2404, 1579, 5012, 6678, 6269, 290, 504, 652, 225, 69, 2260, 292, 225, 88, 76, 73, 19104, 6787, 292, 1957, 2151, 14252, 18, 203, 43, 76, 768, 1082, 385, 225, 69, 3962, 291, 225, 88, 76, 73, 2347, 292, 19406, 10689, 383, 225, 88, 76, 73, 13932, 8706, 4368, 18, 731, 568, 3220, 359, 7398, 6715, 6678, 6666, 290, 6715, 5237, 6666, 383, 17488, 29914, 5739, 4108, 18, 203, 521, 3962, 2639, 6228, 225, 69, 11566, 526, 3658, 291, 15753, 423, 225, 88, 76, 73, 1967, 31162, 1925, 383, 225, 88, 76, 73, 1495, 292, 8170, 290, 279, 7563, 16759, 423, 42703, 18, 203, 49, 8332, 2531, 25766, 30312, 995, 351, 523, 46073, 16, 12143, 292, 316, 4930, 17488, 29914, 16, 928, 30, 616, 43, 76, 768, 1082, 352, 87, 5994, 318, 225, 69, 1873, 292, 225, 88, 76, 73, 2928, 352, 87, 5612, 291, 522, 2955, 286, 2314, 3054, 2358, 291, 1695, 346, 225, 88, 76, 73, 4370, 290, 3874, 292, 225, 88, 76, 73, 7704, 16, 1027, 1376, 6733, 346, 531, 3176, 291, 1119, 2151, 290, 2879, 10153, 16, 2986, 225, 88, 76, 73, 1750, 292, 225, 88, 76, 73, 6302, 345, 6611, 225, 88, 76, 73, 5072, 359, 761, 359, 225, 88, 76, 73, 4359, 292, 1957, 10912, 2547, 18, 203, 56, 4930, 17488, 29914, 13228, 225, 88, 76, 73, 1145, 19442, 352, 87, 10912, 5072, 290, 14875, 357, 11860, 754, 225, 69, 2874, 2080, 292, 2580, 290, 1864, 2141, 16, 9870, 383, 19026, 1119, 26353, 8320, 5177, 290, 4179, 3983, 18, 409, 7704, 568, 8130, 325, 225, 88, 76, 73, 8605, 290, 16916, 292, 17488, 29914, 352, 87, 5068, 9253, 16, 6317, 1403, 2949, 286, 709, 6947, 290, 22739, 3345, 18, 774, 10964, 31764, 567, 3888, 3849, 2, 0, 13814, 1142, 1621, 291, 16425, 35, 203, 3532, 7099, 292, 34384, 3488, 2318, 286, 4344, 7930, 326, 8233, 999, 2107, 28261, 7331, 203, 15449, 3026, 277, 225, 88, 76, 73, 27112, 10007, 30, 19150, 3494, 633, 16896, 5374, 286, 744, 225, 69, 22844, 291, 225, 69, 37089, 1004, 203, 3113, 325, 1583, 19, 6257, 19, 9493, 431, 1900, 18, 34827, 284, 1727, 22676, 16, 288, 2166, 203, 4181, 8352, 25227, 22015, 203, 42, 362, 3166, 3435, 291, 8638, 43487, 522, 1201, 352, 87, 4839, 396, 19038, 3410, 30, 15886, 8352, 19, 9346, 23007, 23018, 859, 203, 49, 43077, 286, 12167, 17627, 1518, 16, 3294, 16, 1257, 290, 609, 28595, 290, 17627, 3437, 3169, 318, 225, 69, 2219, 3874, 359, 1367, 359, 46772, 3020, 1641, 387, 554, 345, 4819, 1957, 326, 27112, 20209, 633, 12838, 225, 88, 76, 73, 1004, 658, 18, 1099, 225, 88, 76, 73, 1004, 46434, 290, 709, 2401, 3169, 1620, 1801, 9716, 1313, 16, 357, 703, 5661, 479, 292, 443, 286, 949, 225, 69, 941, 1406, 764, 383, 708, 15762, 80, 43487, 3058, 624, 2037, 20823, 291, 225, 88, 76, 73, 2245, 292, 629, 292, 225, 88, 76, 73, 5301, 352, 87, 745, 16065, 10651, 16, 290, 915, 7809, 22156, 290, 8017, 16, 31366, 18, 203, 1266, 5272, 225, 88, 76, 73, 1716, 292, 443, 371, 1191, 286, 659, 286, 12197, 5374, 326, 16868, 14160, 2655, 720, 1708, 18, 6766, 5691, 16, 4593, 43904, 6860, 4191, 270, 16, 14958, 383, 225, 88, 76, 73, 3211, 18921, 7697, 4666, 4339, 396, 4181, 8352, 873, 385, 225, 69, 1731, 4964, 927, 18, 1507, 345, 927, 16, 1260, 1589, 2855, 16, 225, 88, 76, 73, 1102, 203, 6070, 2536, 1244, 377, 16, 2173, 24, 543, 2824, 203, 4696, 442, 30, 203, 16512, 203, 5099, 203, 7412, 203, 15434, 203, 4256, 442, 30, 203, 4256, 13897, 1143, 203, 8678, 203, 5270, 1900, 18, 34827, 284, 1727, 22676, 16, 288, 2166, 203, 45, 1698, 359, 225, 69, 1962, 26045, 6666, 346, 17372, 83, 2361, 7738, 292, 16425, 290, 1708, 3989, 3049, 292, 10561, 295 ]

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

[ 550, 290, 616, 23, 70, 550, 3345, 16, 691, 313, 424, 623, 3686, 292, 225, 88, 76, 73, 31757, 4353, 24805, 16, 314, 1156, 6744, 313, 459, 942, 9925, 5106, 7550, 25447, 5757, 9267, 77, 16, 225, 69, 43881, 14099, 3860, 4842, 811, 225, 88, 76, 73, 6575, 19866, 30625, 3408, 18, 203, 4591, 16, 691, 313, 499, 286, 225, 88, 76, 73, 27173, 3061, 19, 27762, 290, 424, 942, 43182, 18493, 388, 35683, 6472, 16, 544, 427, 2406, 660, 326, 5727, 290, 1142, 688, 225, 88, 76, 73, 42021, 18, 1108, 688, 827, 1995, 318, 18, 14718, 624, 314, 928, 12298, 18, 203, 5818, 313, 29276, 530, 1054, 915, 35, 1287, 24915, 5097, 2165, 504, 652, 5, 1366, 16, 8368, 16, 314, 352, 635, 1357, 658, 286, 225, 88, 76, 73, 17434, 290, 1934, 286, 942, 43182, 290, 35683, 18, 17335, 16, 544, 424, 21181, 530, 629, 40561, 6960, 541, 314, 424, 499, 1745, 524, 479, 292, 803, 3345, 18, 378, 5468, 328, 326, 1962, 1611, 5, 203, 9746, 225, 69, 3465, 203, 25843, 326, 18028, 2030, 1249, 225, 69, 49555, 26040, 292, 479, 4406, 203, 7065, 848, 16, 2730, 12034, 49555, 26040, 30226, 430, 23379, 203, 3113, 225, 69, 3472, 286, 5491, 290, 1427, 629, 4189, 10359, 18, 203, 4139, 371, 629, 203, 63, 6070, 225, 88, 76, 73, 1806, 616, 25843, 326, 1536, 383, 225, 88, 76, 73, 49555, 26040, 292, 479, 4406, 10654, 325, 8816, 2088, 65, 203, 7346, 821, 203, 9746, 225, 69, 3465, 203, 33306, 49555, 26040, 5189, 203, 7065, 685, 16, 2730, 11772, 30226, 430, 23379, 203, 7565, 277, 524, 629, 3068, 49555, 26040, 3345, 203, 9746, 225, 69, 3465, 203, 10954, 326, 30, 203, 16672, 12337, 203, 4667, 9814, 1349, 30, 1558, 1240, 1228, 3285, 30, 225, 88, 76, 73, 8424, 292, 29440, 16, 10331, 290, 42531, 2, 0, 9762, 10482, 16, 19819, 1608, 2485, 1136, 16, 2730, 1608, 409, 2528, 1275, 10780, 10730, 1974, 45148, 1660, 5292, 225, 88, 76, 73, 7769, 2764, 5519, 1167, 22071, 5927, 2195, 553, 18933, 473, 5, 396, 15857, 2195, 1140, 24548, 13494, 203, 1200, 2190, 1167, 318, 6331, 431, 225, 88, 76, 73, 5927, 2195, 1131, 3162, 2528, 1275, 16, 573, 318, 641, 292, 225, 88, 76, 73, 10780, 10730, 1974, 45148, 1250, 18, 14407, 775, 290, 1227, 9924, 371, 3281, 326, 3162, 2388, 952, 544, 6567, 1463, 291, 225, 69, 2692, 292, 14610, 290, 27951, 2230, 18, 2060, 292, 225, 88, 76, 73, 1228, 345, 744, 442, 1167, 1403, 290, 1046, 423, 609, 5003, 318, 345, 357, 3158, 1463, 225, 88, 76, 73, 2516, 286, 2129, 1474, 290, 1263, 2148, 346, 17200, 290, 3173, 932, 717, 18, 1078, 543, 1216, 581, 225, 88, 76, 73, 1167, 16, 2330, 2920, 1036, 18, 203, 3987, 333, 6343, 28604, 303, 3271, 16, 225, 69, 823, 4383, 23383, 5103, 290, 1502, 4429, 16, 459, 339, 225, 88, 76, 73, 724, 5985, 292, 225, 88, 76, 73, 5927, 2195, 553, 18933, 473, 5, 1167, 203, 1109, 521, 2955, 286, 11217, 398, 4697, 5424, 290, 286, 7418, 624, 291, 225, 69, 37009, 836, 291, 225, 69, 5193, 3162, 318, 823, 4189, 650, 313, 352, 264, 5673, 291, 225, 69, 1616, 3570, 16, 19499, 398, 2269, 388, 5736, 225, 69, 1174, 2255, 2067, 18, 1783, 371, 2548, 345, 313, 352, 635, 787, 326, 225, 88, 76, 73, 1716, 292, 398, 969, 16, 290, 5927, 2195, 1140, 24548, 5, 1167, 318, 891, 286, 2147, 1059, 2548, 18, 409, 8458, 292, 4383, 717, 290, 3141, 7403, 291, 9924, 8269, 20029, 225, 88, 76, 73, 2278, 292, 225, 88, 76, 73, 1167, 290, 1767, 357, 4853, 290, 2190, 4314, 4184, 225, 88, 76, 73, 1619, 1466, 11879, 1129, 84, 18240, 295, 16, 6961, 3962, 292, 10780, 10730, 1974, 45148, 18, 203, 521, 1167, 4918, 325, 3275, 2485, 346, 2764, 3162, 5940, 290, 4383, 23383, 5103, 290, 1502, 4429, 1498, 333, 6343, 28604, 303, 3271, 359, 709, 724, 5985, 18, 5927, 2195, 1131, 1095, 286, 1227, 39588, 7126, 326, 609, 7442, 291, 225, 88, 76, 73, 1689, 1924, 359, 761, 18, 203, 521, 5940, 371, 2404, 6273, 7100, 325, 35113, 290, 34801, 423, 591, 30, 564, 286, 3143, 30, 1878, 383, 225, 88, 76, 73, 7769, 1803, 292, 225, 88, 76, 73, 5927, 2195, 1131, 11910, 6465, 18, 409, 2595, 290, 2347, 1803, 16, 573, 385, 6081, 225, 88, 76, 73, 724, 8858, 383, 225, 88, 76, 73, 3275, 4263, 19107, 292, 32260, 20740, 820, 291, 17078, 3722, 16, 318, 2558, 383, 421, 1861, 391, 284, 478, 2815, 9669, 9385, 1260, 69, 16, 28894, 18, 203, 4696, 442, 33856, 16, 31117, 17100, 16, 31117, 15122, 17, 10106, 16, 10780, 10730, 1974, 45148, 3888, 15900, 11345, 2388, 16, 5927, 2195, 1131, 203, 9746, 225, 69, 10313, 48571, 10031, 203, 5956, 8226, 203, 10796, 3797, 10796, 3469, 9729, 484, 3624, 36640, 3817, 326, 225, 88, 76, 73, 8031, 1465, 291, 31052, 203, 7007, 3797, 7007, 10780, 10730, 1974, 45148, 383, 225, 88, 76, 73, 8769, 16190, 31, 225, 88, 76, 73, 6511, 346, 9180, 16381, 4004, 10493, 5029, 3823, 203, 12437, 11588, 16413, 1727, 203, 24094, 203, 7995, 203, 31201, 203, 21952, 203, 9158, 203, 12408, 10780, 10730, 1974, 45148, 2726, 11474, 203, 13311, 398, 2368, 2500, 286, 1085, 10780, 10730, 1974, 45148, 290, 2834, 449, 830, 37192, 2, 0, 14987, 10144, 2307, 3721, 11935, 2202, 1892, 10915, 5656, 17, 44585, 4704, 24856, 346, 361, 1980, 446, 4488, 8243, 3586, 774, 17797, 2307, 16, 8170, 203, 23756, 203, 41, 2847, 39608, 203, 28053, 375, 203, 37, 286, 1343, 203, 11348, 8318, 203, 17574, 557, 12947, 203, 14584, 16, 3953, 16, 954, 3844, 203, 6604, 2030, 38113, 2030, 4791, 11072, 38411, 2030, 36141, 30, 2429, 3843, 16, 2079, 203, 5733, 225, 88, 76, 73, 10148, 18, 1946, 1502, 2945, 16, 17797, 2307, 3721, 11307, 33234, 24275, 3305, 286, 225, 69, 14917, 1133, 225, 88, 76, 73, 2307, 16, 225, 88, 76, 73, 20458, 292, 5739, 16, 290, 225, 88, 76, 73, 361, 1980, 446, 352, 87, 4488, 2307, 3586, 658, 225, 88, 76, 73, 4646, 8306, 292, 1579, 11837, 292, 2171, 12665, 286, 225, 88, 76, 73, 8320, 15321, 26059, 2409, 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, 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, 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 ]

[ 292, 4013, 18, 409, 2804, 290, 409, 20314, 9370, 819, 1124, 2039, 292, 16627, 18, 225, 11248, 35763, 11089, 32132, 526, 11974, 371, 915, 554, 292, 38399, 2409, 526, 1172, 6097, 290, 745, 5716, 6562, 1146, 811, 4013, 1556, 203, 203, 38, 5474, 23, 13168, 19862, 225, 203, 47, 91, 3451, 1724, 94, 504, 652, 2912, 291, 798, 27914, 291, 10497, 286, 522, 24309, 23, 16893, 14838, 18, 19779, 5717, 6045, 13769, 14275, 22142, 21743, 3451, 1724, 94, 290, 225, 88, 76, 73, 24309, 23, 819, 961, 11843, 326, 10037, 15525, 18, 731, 8021, 21743, 3451, 1724, 94, 43781, 225, 69, 689, 7069, 712, 290, 23036, 6, 2038, 290, 689, 5136, 14526, 7035, 286, 2532, 8633, 359, 1866, 6082, 309, 17, 49061, 87, 10317, 21743, 3451, 1724, 94, 40122, 225, 88, 76, 73, 6000, 18, 203, 203, 521, 1715, 385, 9370, 291, 279, 2485, 9513, 18, 1979, 573, 16, 14275, 928, 616, 76, 73, 1411, 3606, 21743, 3451, 1724, 94, 744, 654, 23036, 388, 6417, 1293, 7633, 19127, 1395, 3060, 286, 225, 69, 4734, 6231, 5212, 7484, 431, 409, 3797, 18, 14275, 915, 18810, 225, 88, 76, 73, 22417, 3162, 4977, 16686, 286, 21743, 3451, 1724, 94, 325, 616, 69, 2677, 31723, 3893, 1047, 6064, 596, 3045, 18, 14275, 915, 4953, 385, 12611, 1395, 225, 88, 76, 73, 5212, 928, 18, 203, 203, 6050, 6064, 16, 556, 392, 10661, 6949, 16, 385, 11843, 423, 522, 2067, 290, 1708, 689, 74, 4757, 225, 88, 76, 73, 18918, 292, 4013, 14203, 4886, 16, 47069, 458, 385, 19012, 323, 5981, 286, 15815, 522, 6715, 3668, 6666, 1616, 291, 641, 952, 795, 17, 14806, 7150, 21743, 3451, 1724, 94, 5514, 26451, 1608, 290, 16224, 1608, 1054, 17, 13442, 2883, 13629, 7280, 361, 29147, 1027, 2681, 225, 88, 76, 73, 1220, 17, 263, 17, 1208, 38632, 5717, 6650, 8187, 12192, 6222, 1556, 203, 203, 3591, 568, 203, 5409, 49336, 293, 774, 38399, 2409, 3372, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 24662, 4686, 203, 4387, 2155, 14604, 203, 4387, 4514, 8007, 203, 12404, 23, 717, 203, 39448, 3569, 1925, 7692, 203, 6004, 717, 203, 12175, 11612, 1495, 1925, 292, 14001, 7692, 203, 5013, 423, 12140, 203, 3672, 80, 16901, 2720, 1925, 7692, 203, 5013, 423, 35922, 16901, 13087, 16, 1063, 7185, 203, 31784, 300, 7403, 2, 0, 34101, 25227, 1713, 262, 396, 3640, 2427, 2357, 16, 10547, 13, 318, 279, 1644, 9696, 290, 8128, 423, 10495, 18, 332, 20224, 16, 458, 385, 6413, 286, 225, 88, 76, 73, 10495, 3010, 292, 31618, 775, 291, 2987, 16, 9854, 225, 88, 76, 73, 1627, 526, 11795, 88, 76, 4521, 291, 13602, 18, 731, 1837, 2347, 325, 2494, 1519, 16, 3008, 18, 203, 203, 9035, 969, 290, 2269, 203, 13788, 291, 13602, 325, 2427, 2357, 16, 10547, 16, 25227, 1713, 262, 385, 4895, 291, 34358, 5180, 290, 5801, 13602, 2086, 4791, 10765, 16, 15564, 27671, 2409, 14578, 17, 29285, 1925, 290, 13602, 37378, 4339, 18, 25227, 1713, 262, 7640, 291, 7752, 423, 15152, 3032, 3049, 291, 15055, 16, 9880, 346, 225, 69, 1864, 291, 7676, 31, 383, 15152, 3032, 16, 458, 5583, 225, 88, 76, 73, 5671, 4824, 3505, 18, 731, 2912, 3544, 291, 1491, 7676, 16, 2681, 225, 88, 76, 73, 49440, 3224, 292, 37846, 6472, 378, 18, 11581, 396, 40, 1180, 44944, 13, 290, 10102, 5192, 4266, 806, 5050, 359, 4521, 3962, 326, 37846, 15419, 5180, 396, 40, 1180, 44944, 859, 203, 203, 39, 3880, 1713, 262, 1708, 5801, 225, 88, 76, 73, 1495, 292, 22568, 1925, 292, 3569, 291, 10976, 18, 1979, 1690, 1204, 16, 458, 4415, 286, 13602, 286, 548, 359, 279, 10529, 2361, 526, 13080, 291, 10664, 957, 594, 303, 2307, 18, 203, 203, 21572, 2269, 203, 203, 8766, 4218, 5028, 203, 39, 3880, 1713, 262, 12348, 225, 69, 10666, 326, 225, 88, 76, 73, 10495, 3010, 292, 31618, 775, 291, 2987, 16, 2681, 291, 225, 88, 76, 73, 1220, 17, 23190, 11795, 88, 76, 4521, 396, 25805, 290, 18695, 13602, 859, 3726, 19283, 33331, 478, 18, 29782, 16813, 480, 644, 2891, 1584, 6322, 49440, 16, 3082, 279, 1227, 5457, 291, 225, 88, 76, 73, 11795, 88, 76, 18, 203, 203, 22999, 13360, 10511, 326, 27060, 290, 25227, 1713, 262, 385, 6800, 4353, 225, 88, 76, 73, 7668, 292, 24169, 5122, 18, 4426, 389, 5284, 290, 24169, 389, 1067, 18, 5409, 332, 18, 17976, 270, 290, 8969, 556, 18, 2553, 44, 1081, 18, 557, 225, 88, 76, 73, 9170, 4218, 5028, 2404, 325, 2427, 2116, 16, 25227, 1713, 262, 4265, 2630, 16, 29752, 770, 431, 225, 88, 76, 73, 797, 589, 2394, 590, 6322, 49440, 18, 731, 3846, 1025, 7122, 10362, 4208, 292, 225, 88, 76, 73, 5837, 17, 23792, 1068, 6018, 290, 4722, 1825, 225, 88, 76, 73, 9170, 16807, 16, 25806, 286, 225, 88, 76, 73, 2639, 5028, 18, 203, 95, 96, 1284, 4259, 43746, 7614, 6, 203, 4173, 203, 5, 13870, 203, 5, 58, 7732, 203, 5, 6976, 1455, 203, 5, 8391, 2445, 203, 4173, 203, 4173, 225, 203, 96, 15796, 332, 18, 17976, 270, 396, 2005, 19283, 13, 203, 96, 25, 16, 26, 6011, 203, 96, 3059, 3059, 4299, 18, 20, 9, 203, 96, 3059, 3059, 3059, 59, 263, 203, 4173, 203, 4173, 225, 203, 96, 20178, 556, 18, 2553, 44, 1081, 396, 2005, 19283, 13, 203, 96, 24, 16, 34528, 203, 96, 3059, 3059, 916, 18, 20, 9, 203, 96, 3059, 3059, 3059, 59, 263, 203, 4173, 203, 4173, 225, 203, 96, 34101, 25227, 1713, 262, 203, 96, 24, 16, 6257, 22, 203, 96, 3059, 3059, 1758, 18, 27, 9, 203, 96, 3059, 3059, 3059, 59, 263, 203, 4173, 203, 4173, 225, 203, 96, 16684, 5250, 77, 203, 96, 23, 16, 47625, 225, 203, 96, 3059, 3059, 2173, 18, 27, 9, 203, 96, 3059, 3059, 3059, 29360, 203, 4173, 203, 4173, 225, 203, 96, 23621, 4408, 4202, 275, 203, 96, 22, 16, 1791, 23, 203, 96, 3059, 3059, 2288, 18, 25, 9, 203, 96, 3059, 3059, 3059, 29360, 203, 4173, 203, 4173, 225, 203, 96, 36926, 332, 18, 9113, 31882, 203, 96, 21, 16, 10266, 22, 225, 203, 96, 3059, 3059, 29, 18, 20, 9, 203, 96, 3059, 3059, 3059 ]

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

[ 385, 325, 225, 88, 76, 73, 5696, 18, 409, 294, 94, 518, 2387, 658, 1220, 10114, 318, 4434, 325, 225, 88, 76, 73, 10463, 383, 225, 88, 76, 73, 11078, 1398, 346, 9401, 10581, 827, 660, 318, 568, 279, 8837, 292, 7070, 46590, 959, 292, 23904, 573, 29249, 28747, 290, 32717, 18, 409, 1179, 304, 40565, 14246, 396, 354, 368, 303, 13, 504, 225, 69, 1648, 3363, 292, 225, 88, 76, 73, 319, 16165, 321, 21918, 396, 45472, 3192, 873, 346, 3762, 292, 3815, 17470, 419, 2311, 8165, 325, 1119, 5941, 18, 1238, 371, 798, 3411, 24278, 8650, 1434, 442, 304, 480, 14246, 573, 371, 928, 286, 339, 629, 292, 225, 88, 76, 73, 9379, 291, 36046, 18, 409, 19333, 286, 225, 88, 76, 73, 5696, 292, 225, 88, 76, 73, 1179, 411, 76, 6471, 593, 504, 3762, 292, 10606, 465, 337, 16, 3387, 290, 2660, 8717, 287, 396, 37139, 359, 1119, 3387, 290, 2660, 859, 1238, 318, 568, 279, 1367, 4067, 292, 1343, 5305, 3691, 1828, 22428, 560, 700, 14218, 1256, 274, 16, 225, 88, 76, 73, 7754, 292, 225, 88, 76, 73, 294, 94, 518, 573, 385, 12554, 291, 7601, 517, 1146, 2719, 5649, 292, 17684, 18, 3728, 2194, 325, 225, 88, 76, 73, 23720, 292, 225, 88, 76, 73, 10054, 499, 35450, 14246, 371, 225, 88, 76, 73, 26621, 526, 30479, 290, 11131, 18, 1238, 371, 8842, 1067, 4069, 286, 225, 88, 76, 73, 5938, 76, 73, 2144, 3479, 6151, 396, 22320, 46450, 13, 290, 363, 1135, 270, 411, 3032, 83, 16, 225, 88, 76, 73, 33951, 42182, 292, 36046, 18, 203, 203, 829, 225, 88, 76, 73, 225, 10286, 292, 225, 88, 76, 73, 10524, 8307, 261, 24278, 8650, 292, 45709, 16, 225, 88, 76, 73, 29920, 7569, 4753, 291, 225, 88, 76, 73, 294, 94, 518, 318, 3285, 2190, 18, 601, 318, 225, 69, 9333, 345, 318, 8748, 325, 225, 88, 76, 73, 10946, 291, 225, 88, 76, 73, 10336, 6582, 388, 316, 1485, 533, 19459, 16, 1434, 225, 69, 5238, 225, 291, 225, 88, 76, 73, 1139, 292, 6035, 12624, 346, 6659, 379, 21091, 21426, 18, 409, 225, 14462, 1434, 357, 371, 8748, 225, 291, 1579, 8728, 16, 1482, 357, 12229, 16, 7705, 225, 88, 76, 73, 11472, 2039, 292, 225, 88, 76, 73, 602, 18, 409, 3243, 292, 225, 88, 76, 73, 1619, 292, 2900, 526, 3968, 318, 8748, 359, 225, 69, 1695, 291, 225, 88, 76, 73, 1139, 292, 279, 32924, 583, 291, 10767, 1731, 5321, 31, 38526, 371, 568, 7167, 18, 203, 203, 1987, 203, 203, 18008, 203, 203, 40, 94, 14078, 291, 36046, 203, 45472, 7142, 40972, 291, 36046, 203, 21912, 290, 6495, 291, 364, 355, 1813, 89, 203, 21912, 290, 6495, 3500, 291, 1958, 4457, 203, 41820, 4700, 290, 6495, 3500, 291, 1958, 4457, 203, 2455, 4457, 9011, 291, 6266, 2, 0, 17095, 430, 1365, 24113, 396, 7322, 1148, 16, 12896, 696, 2262, 832, 16, 3384, 13, 385, 279, 1644, 9696, 596, 3220, 291, 225, 88, 76, 73, 4278, 3010, 292, 14776, 423, 10584, 286, 9644, 18, 203, 203, 2177, 3904, 292, 13861, 5026, 325, 2262, 832, 16, 3384, 16, 291, 10649, 16, 4278, 383, 2184, 10528, 18, 203, 203, 1987, 203, 203, 29131, 4686, 203, 10427, 5850, 203, 9807, 292, 225, 88, 76, 73, 4278, 3010, 292, 14776, 203, 25618, 15489, 203, 825, 88, 76, 17, 4577, 1644, 9834, 2, 0, 48331, 581, 357, 396, 71, 919, 84, 39782, 13, 4203, 346, 225, 88, 76, 73, 1644, 288, 27535, 203, 48331, 6420, 601, 16, 16577, 4822, 2353, 431, 27919, 5344, 22527, 203, 48331, 6420, 601, 396, 23622, 873, 4109, 1782, 203, 203, 3591, 568, 203, 42, 736, 881, 6420, 601, 16, 2862, 5679, 12849, 3282, 30373, 225, 203, 6, 5626, 526, 29825, 6420, 601, 2995, 1963, 431, 12964, 411, 4636, 70, 423, 633, 7248, 2353, 393, 2893, 86, 21484, 203, 48331, 357, 396, 20404, 13, 2, 0, 14033, 9247, 1357, 783, 3188, 286, 30, 4327, 225, 69, 34628, 345, 18265, 291, 225, 88, 76, 73, 10584, 1782, 23693, 1703, 203, 8854, 9247, 5900, 16, 279, 2353, 431, 225, 88, 76, 73, 3539, 2804, 332, 7947, 286, 45169, 3012, 9731, 203, 8854, 9247, 1357, 15096, 2, 0, 45, 15890, 21825, 318, 225, 69, 4227, 291, 363, 36095, 16954, 16752, 2228, 3126, 299, 292, 1456, 7697, 4010, 291, 23297, 9879, 292, 9061, 18, 203, 203, 1987, 203, 203, 23658, 291, 1456, 7697, 4010, 2, 0, 56, 700, 16658, 353, 5484, 20581, 3157, 18189, 13, 318, 225, 69, 4497, 25226, 292, 4497, 20085, 29215, 18, 19400, 385, 225, 69, 6324, 7682, 383, 34744, 48619, 2086, 1495, 18, 1236, 318, 745, 10218, 326, 961, 554, 292, 225, 88, 76, 73, 1179, 34167, 698, 4497, 292, 225, 88, 76, 73, 2016, 292, 225, 88, 76, 73, 4913, 34057, 27226, 989, 32976, 8676, 290, 17449, 32808, 29163, 328, 11651, 18, 203, 203, 15731, 203, 56, 700, 385, 3157, 698, 225, 69, 4497, 20085, 1201, 291, 755, 43779, 16, 3395, 33097, 17, 18713, 291, 18189, 16, 346, 633, 33099, 965, 291, 378, 392, 261, 18, 557, 13698, 16, 19400, 7640, 423, 363, 19102, 1495, 16, 827, 780, 13896, 2126, 291, 4913, 383, 225, 88, 76, 73, 3625, 292, 3551, 11910, 290, 17799, 18, 1979, 12806, 16, 19400, 385, 6568, 286, 225, 88, 76, 73, 4497, 5029, 292, 5049, 9448, 18, 557, 12180, 16, 225, 88, 76, 73, 14141, 10724, 385, 5292, 431, 35071, 1343, 282, 518, 16, 19400, 290, 633, 4252, 15541, 707, 1278, 526, 2178, 3208, 292, 2929, 385, 14597, 431, 225, 88, 76, 73, 3537, 28039, 16, 225, 88, 76, 73, 2735, 643, 2632, 286, 225, 88, 76, 73, 1589, 35469, 15681, 264, 10765, 286, 548, 291, 5355, 261, 18, 557, 10687, 16, 45329, 2167, 1586, 1423, 290, 15541, 32272, 1255, 1174, 10688, 225, 88, 76, 73, 19980, 292, 7701, 16, 225, 88, 76, 73, 2735, 643, 38815, 532, 431, 389, 1423, 22336, 15849, 16, 383, 225, 88, 76, 73, 1150, 595, 16, 544, 1698, 286, 2621, 4913, 8049, 18, 19400, 1698, 286, 9969, 2016, 291, 10708, 290, 780, 3989, 225, 88, 76, 73, 3671, 20652, 3693, 291, 10201, 18, 203, 203, 13796, 203, 409, 5695, 292 ]

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

[ 33789, 2642, 46588, 11, 55, 5019, 15850, 58, 7299, 28623, 203, 8324, 1148, 16, 2451, 203, 13130, 5240, 16, 225, 88, 76, 73, 24193, 3065, 14651, 292, 6785, 9303, 16, 12814, 709, 4230, 1465, 326, 12593, 709, 2580, 291, 2451, 290, 709, 13335, 326, 2286, 18, 707, 371, 823, 7483, 286, 2957, 345, 225, 88, 76, 73, 1361, 969, 292, 11739, 459, 339, 554, 292, 3866, 5240, 526, 7719, 8591, 326, 2286, 5, 1043, 13428, 4395, 8979, 291, 442, 3141, 1465, 290, 21998, 225, 88, 76, 73, 891, 2516, 326, 3367, 17117, 291, 6762, 326, 2286, 18, 203, 11351, 689, 42, 25662, 7299, 363, 11889, 10079, 18153, 13310, 16000, 411, 11, 44, 4211, 9685, 6, 28071, 12844, 19872, 2180, 29986, 4986, 6934, 31562, 6242, 13145, 361, 2053, 11373, 14691, 6776, 4530, 55, 395, 41218, 5019, 4986, 13884, 36425, 2846, 12113, 20546, 26155, 5019, 14602, 19427, 203, 8324, 1025, 16, 2451, 203, 2091, 225, 88, 76, 73, 1025, 88, 76, 292, 2698, 16, 225, 88, 76, 73, 689, 42, 649, 342, 11193, 2215, 3263, 1844, 304, 11, 76, 34314, 6, 28731, 279, 3367, 1891, 325, 225, 88, 76, 73, 2450, 292, 4180, 5542, 291, 225, 88, 76, 73, 5310, 24477, 6166, 291, 4409, 18, 332, 1403, 3512, 318, 4069, 286, 225, 88, 76, 73, 24472, 292, 4180, 5542, 11, 11739, 290, 709, 2778, 9216, 286, 225, 88, 76, 73, 3948, 11491, 6166, 5, 2, 0, 22365, 225, 69, 1689, 1924, 827, 225, 88, 76, 73, 1149, 292, 1597, 225, 69, 1103, 318, 449, 1736, 527, 286, 225, 88, 76, 73, 19363, 3428, 292, 17420, 303, 666, 25444, 18, 1979, 479, 16, 408, 10159, 286, 1422, 531, 1528, 225, 88, 76, 73, 910, 1634, 2528, 16, 6942, 16, 1518, 16, 290, 35819, 1102, 1656, 449, 427, 624, 894, 346, 225, 88, 76, 73, 910, 1634, 12508, 3414, 359, 761, 35, 203, 3987, 442, 633, 11177, 388, 2078, 11725, 2925, 35, 203, 5626, 352, 87, 11005, 291, 774, 660, 352, 87, 225, 69, 1171, 286, 1425, 18, 203, 2159, 7435, 8864, 11075, 203, 16642, 225, 69, 2219, 318, 2838, 11516, 774, 357, 4687, 3225, 346, 786, 2003, 18, 203, 48259, 290, 9406, 3788, 16, 2762, 504, 652, 708, 7241, 427, 33045, 326, 8233, 292, 806, 1102, 517, 442, 318, 4875, 2823, 18, 203, 7236, 16, 543, 9409, 720, 1801, 371, 6774, 286, 291, 42838, 14238, 1574, 16, 388, 42957, 16, 286, 38142, 1528, 18, 203, 5123, 42, 318, 279, 13331, 23971, 2216, 827, 14238, 1574, 4687, 431, 563, 89, 16, 543, 720, 8984, 16, 1318, 10951, 643, 21354, 346, 225, 88, 76, 73, 723, 292, 42957, 16, 9854, 377, 18, 26, 3159, 292, 225, 88, 76, 73, 832, 18, 20, 2372, 4686, 291, 225, 88, 76, 73, 528, 18, 55, 18, 203, 5698, 225, 88, 76, 73, 1843, 7134, 16, 225, 88, 76, 73, 1319, 292, 42957, 7008, 504, 34499, 13169, 4093, 2723, 10924, 423, 33828, 16, 1318, 291, 5452, 286, 658, 34201, 16, 1318, 1660, 18, 203, 1200, 4225, 504, 652, 19343, 9008, 325, 225, 88, 76, 73, 785, 292, 22995, 3356, 292, 225, 88, 76, 73, 6544, 290, 4179, 9999, 4713, 18, 203, 5698, 225, 88, 76, 73, 1843, 1136, 806, 16, 42957, 3356, 427, 12276, 423, 1175, 825, 16, 1318, 286, 9572, 8, 1537, 16, 1318, 619, 6544, 1027, 9999, 4713, 427, 4179, 423, 452, 9, 286, 6272, 1791, 8159, 203, 5123, 42, 291, 5159, 346, 279, 5302, 19198, 318, 3082, 279, 2516, 326, 225, 88, 76, 73, 1025, 18, 21, 2372, 1778, 291, 225, 88, 76, 73, 1851, 2198, 596, 3979, 423, 36643, 2148, 388, 371, 1248, 1367, 286, 427, 225, 69, 4035, 18, 203, 829, 2616, 16, 658, 1946, 16, 1318, 42957, 7008, 1013, 279, 5302, 19198, 18, 203, 5123, 42, 568, 2743, 9409, 286, 14238, 1140, 798, 8106, 383, 225, 69, 595, 396, 21165, 286, 1136, 325, 3661, 873, 1405, 624, 286, 225, 88, 76, 73, 854, 46644, 4351, 334, 3232, 16, 10305, 225, 69, 3035, 423, 1040, 854, 46644, 4351, 334, 290, 857, 4188, 225, 88, 76, 73, 43187, 326, 19953, 342, 698, 225, 88, 76, 73, 2974, 352, 87, 36111, 18, 203, 45, 2466, 345, 4619, 42957, 1380, 291, 2066, 339, 225, 88, 76, 73, 616, 23650, 550, 290, 745, 7303, 17, 301, 26360, 836, 286, 26404, 18, 203, 43680, 5052, 8500, 203, 1624, 1778, 2554, 286, 2314, 519, 2528, 290, 519, 11559, 16, 798, 1778, 2245, 2413, 7067, 650, 6182, 1597, 1528, 1708, 291, 969, 1364, 21712, 4713, 10275, 431, 797, 17, 29003, 431, 225, 88, 76, 73, 2184, 292, 3303, 18, 203, 3018, 554, 631, 11788, 3125, 1380, 723, 7261, 442, 2163, 30, 225, 88, 76, 73, 2955, 286, 17860, 554, 352, 87, 3485, 8106, 4164, 291, 969, 18, 203, 43680, 18682, 504, 1698, 286, 1620, 225, 69, 836, 326, 1778, 286, 26404, 325, 225, 69, 32213, 292, 519, 2947, 774, 449, 39299, 431, 519, 15835, 18, 203, 521, 1319, 292, 1778, 6524, 286, 17860, 519, 8106, 383, 21712, 17454, 291, 225, 88, 76, 73, 528, 18, 55, 18, 5789, 543, 720, 4266, 15296, 1133, 3384, 290, 2855, 18, 203, 23397, 20771, 262, 16535, 16, 28790, 292, 225, 88, 76, 73, 35141, 34150, 7477, 16, 14451, 325, 442, 4225, 16, 3902, 16, 616, 829, 225, 88, 76, 73, 1358, 452, 806, 16, 543, 1840, 717, 459, 17860, 519, 8106, 290, 1858, 87, 520, 81, 65, 291, 519, 452, 87, 16, 290, 3290, 624, 326, 1708, 787, 18, 1108, 459, 502, 1576, 346, 225, 88, 76, 73, 659, 326, 35141, 12914, 431, 961, 30998, 1159, 16, 290, 8989, 519, 8106, 290, 25385, 423, 225, 88, 76, 73, 3290, 650, 544, 371, 2629, 286, 427, 225, 69, 1103, 2726, 42957, 1076, 203, 11189, 262, 39661, 203, 1371, 313, 644, 225, 88, 76, 73, 2955, 286, 34693, 262, 346, 225, 88, 76, 73, 25444, 292, 398, 4035, 16, 703, 313, 35, 203, 1647, 691, 313, 882, 3349, 225, 69, 40876, 4447, 35, 19918, 357, 1620, 1392, 367, 41624, 352, 286, 7768, 3825, 12508, 10021, 35, 203, 5678, 408, 5476, 9677, 3048, 7504, 19, 18180, 29, 16, 225, 69, 1932, 1013, 286, 616, 28914, 550, 225, 88, 76, 73, 2219, 30146 ]

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

[ 16, 408, 427, 4766, 292, 1324, 6218, 290, 408, 1182, 1846, 2980, 16, 4579, 290, 4201, 12757, 18, 203, 988, 764, 2540, 286, 4243, 313, 5, 5915, 443, 1660, 286, 744, 279, 5994, 18, 203, 28038, 16141, 203, 31127, 5852, 203, 829, 1659, 9096, 9700, 203, 56, 7620, 35650, 9096, 9700, 1424, 443, 6767, 1787, 290, 3762, 423, 2593, 398, 5465, 18, 1108, 723, 443, 346, 11194, 290, 544, 568, 1424, 443, 984, 313, 2172, 292, 6866, 388, 225, 88, 76, 73, 2241, 292, 398, 2898, 18, 203, 14619, 2128, 17, 24415, 203, 17908, 17, 25632, 2825, 2128, 17, 24415, 787, 1490, 14822, 720, 3222, 2128, 17, 24415, 18, 1108, 568, 3896, 864, 17, 11035, 23424, 3762, 345, 371, 225, 69, 5716, 18628, 1932, 18, 203, 16924, 281, 10034, 2128, 17, 24415, 203, 16924, 281, 10034, 2128, 17, 24415, 949, 2874, 3762, 292, 398, 2218, 16379, 18, 1783, 2825, 3762, 371, 1013, 291, 11194, 290, 286, 723, 346, 38851, 2898, 16, 7129, 19953, 11945, 16, 290, 7610, 420, 25770, 18, 203, 39, 5353, 274, 20545, 2128, 17, 24415, 203, 39, 5353, 274, 20545, 2128, 17, 24415, 949, 225, 69, 5437, 3363, 292, 398, 16379, 290, 3151, 19534, 18, 1108, 371, 1013, 286, 723, 291, 11194, 16, 2276, 326, 38851, 2898, 18, 203, 14058, 81, 21763, 430, 24, 40, 203, 2058, 4315, 81, 21763, 430, 24, 40, 21980, 19, 45646, 1056, 8718, 443, 949, 2825, 20194, 16, 946, 8053, 587, 955, 359, 7129, 30549, 16, 290, 13438, 624, 774, 479, 291, 531, 2347, 290, 479, 291, 225, 69, 2013, 5994, 18, 409, 8053, 587, 371, 959, 423, 225, 69, 864, 1604, 16244, 13984, 345, 318, 36553, 286, 2200, 398, 2401, 5851, 18, 203, 3532, 23243, 15597, 203, 6412, 313, 326, 6182, 443, 359, 398, 7129, 2347, 5, 4217, 1263, 1216, 290, 4341, 326, 398, 724, 5994, 18, 203, 49615, 20758, 10367, 203, 37, 7654, 13824, 5563, 203, 26, 3475, 29006, 2409, 18536, 203, 19225, 16, 7539, 16, 428, 26, 44, 685, 55, 21, 203, 6140, 30, 396, 25, 916, 13, 832, 10575, 17, 5805, 13269, 203, 37932, 30, 396, 25, 916, 13, 832, 10575, 17, 1996, 1537, 203, 7412, 30, 203, 20898, 16196, 203, 15092, 29, 30, 564, 321, 774, 1188, 30, 564, 3288, 14, 203, 17077, 29, 30, 564, 321, 774, 1025, 30, 564, 3288, 203, 17261, 27, 30, 1878, 321, 774, 832, 30, 564, 3288, 203, 16585, 28, 30, 564, 321, 774, 848, 30, 564, 3288, 203, 14155, 29, 30, 564, 321, 774, 685, 30, 564, 3288, 4647, 203, 14662, 5663, 619, 1285, 774, 203, 15090, 46627, 774, 203, 14, 29, 30, 564, 321, 774, 1519, 30, 564, 3288, 23381, 6487, 203, 4647, 29, 30, 564, 321, 774, 685, 30, 564, 3288, 23381, 6487, 203, 55, 2, 0, 10020, 225, 69, 12272, 932, 2004, 318, 449, 1142, 1796, 346, 2672, 286, 654, 18830, 18, 601, 4328, 286, 339, 1316, 286, 339, 12680, 346, 3141, 2772, 290, 14764, 3347, 581, 18, 996, 313, 371, 10459, 573, 12885, 286, 427, 225, 88, 76, 73, 910, 723, 2453, 955, 4769, 16, 313, 5396, 1303, 286, 225, 88, 76, 73, 3825, 3527, 18, 203, 3462, 225, 88, 76, 73, 1817, 4454, 286, 225, 88, 76, 73, 8586, 3496, 4174, 291, 1040, 1962, 16, 225, 69, 1319, 292, 894, 17, 5217, 7352, 286, 9320, 18, 409, 1179, 2809, 318, 798, 717, 502, 449, 3678, 442, 723, 4552, 4027, 4203, 346, 2772, 36191, 596, 568, 882, 3796, 624, 423, 4720, 7767, 18, 3783, 443, 499, 754, 225, 88, 76, 73, 2230, 2772, 36191, 291, 1408, 286, 631, 10032, 4602, 424, 2235, 894, 17, 5217, 18, 203, 21, 18, 996, 279, 1682, 2649, 345, 1364, 313, 371, 4009, 225, 69, 3772, 14791, 16, 313, 459, 339, 6824, 286, 6675, 1060, 398, 1344, 932, 16, 313, 2968, 991, 527, 961, 543, 3660, 18, 828, 905, 427, 629, 3879, 292, 761, 17, 29784, 15233, 1095, 4552, 225, 69, 5703, 932, 2149, 541, 313, 424, 4715, 225, 69, 864, 1398, 292, 9622, 9486, 290, 1449, 2304, 1761, 596, 371, 5237, 291, 225, 88, 76, 73, 1962, 18, 332, 2772, 22228, 459, 3796, 291, 4450, 442, 3879, 292, 225, 69, 877, 1095, 290, 2295, 18, 203, 23, 18, 3439, 3196, 313, 744, 783, 2707, 398, 8552, 290, 874, 11175, 16, 313, 1381, 12094, 225, 88, 76, 73, 2707, 290, 744, 442, 745, 4646, 5133, 18, 42530, 22169, 459, 1369, 2978, 346, 225, 69, 6689, 4087, 2609, 326, 23263, 1317, 4555, 1482, 18, 20957, 423, 3082, 225, 88, 76, 73, 1054, 2772, 4411, 16, 279, 25559, 459, 1209, 279, 3511, 325, 357, 6733, 541, 442, 1664, 292, 398, 3802, 40812, 424, 339, 19659, 823, 2801, 18, 203, 23, 18, 2060, 292, 225, 88, 76, 73, 1864, 13835, 345, 748, 225, 69, 2450, 286, 1250, 17855, 459, 339, 894, 17, 5217, 502, 449, 744, 225, 69, 18757, 932, 1095, 18, 332, 16855, 20052, 14083, 459, 3796, 291, 14531, 225, 88, 76, 73, 4646, 1297, 7621, 290, 568, 1369, 225, 69, 27117, 326, 398, 1797, 932, 8552, 1750, 18, 4143, 225, 88, 76, 73, 25559, 459, 949, 698, 6866, 479, 225, 88, 76, 73, 4087, 291, 1408, 286, 4087, 15042, 292, 225, 88, 76, 73, 11756, 3379, 16, 313, 424, 991, 527, 961, 1845, 345, 225, 88, 76, 73, 2972, 6139, 318, 823, 5711, 1434, 624, 18, 203, 24, 18, 8864, 20365, 225, 88, 76, 73, 1957, 932, 15169, 16, 783, 823, 761, 449, 688, 827, 313, 371, 9046, 18, 332, 3084, 25559, 459, 12094, 4887, 225, 88, 76, 73, 15169, 955, 359, 4713, 16, 8526, 2278, 16, 3017, 6031, 16, 9216, 13867, 16, 2674, 18, 286, 723, 313, 286, 346, 24620, 17987, 398, 24332, 2986, 1476, 18, 203, 25, 18, 996, 14764, 4821, 371, 449, 8809, 917, 527, 16, 874, 877, 5374, 783, 5449, 499, 956, 732, 18, 2591, 3879, 292, 877, 2772, 6554, 424, 723, 313, 6166, 1342, 2579, 286, 723, 313, 11522, 225, 88, 76, 73, 14764, 5683, 2505, 326, 442, 17813, 1434, 398, 932, 18, 203, 69, 1162, 18, 1099, 225, 69, 894, 17, 406, 1240, 932, 4372, 16, 313, 1381, 427, 2340, 479, 225, 88, 76, 73, 5107, 1216, 2801, 952, 313 ]

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

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

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

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

[ 427, 644, 2148, 2087, 352, 88, 1940, 313, 459, 517, 357, 1817, 660, 318, 225, 69, 7091, 18, 203, 829, 551, 1185, 346, 9421, 16, 1420, 7113, 371, 554, 292, 225, 88, 76, 73, 1228, 345, 3177, 524, 423, 595, 286, 595, 18, 996, 313, 2207, 442, 17861, 9013, 7391, 314, 5120, 352, 88, 11781, 357, 1248, 940, 952, 691, 225, 88, 76, 73, 1420, 3760, 1071, 10357, 325, 313, 357, 318, 2838, 37914, 1709, 286, 6500, 554, 290, 1142, 17038, 18, 828, 882, 427, 225, 69, 1604, 7276, 326, 3915, 1175, 3475, 286, 1175, 1791, 388, 811, 18, 828, 424, 1745, 524, 670, 609, 717, 427, 928, 431, 10107, 225, 88, 76, 73, 1547, 2130, 18, 203, 16242, 34, 6885, 2894, 1078, 1997, 11315, 11397, 1507, 5806, 5, 41635, 32, 203, 48702, 1666, 2144, 3865, 1591, 409, 23810, 37, 28, 3819, 203, 32052, 30, 332, 1313, 421, 2905, 26, 44, 12124, 361, 5078, 2967, 18, 25, 17, 9529, 7864, 9223, 374, 1906, 38184, 16507, 1175, 11233, 18, 4271, 203, 28352, 1363, 1283, 5047, 30, 34761, 48918, 7070, 49, 28828, 40328, 23743, 1283, 5047, 19698, 1175, 1537, 18, 6280, 203, 29891, 6802, 23362, 203, 6385, 326, 2576, 551, 17861, 9013, 7391, 421, 2728, 19070, 23810, 37, 28, 3819, 396, 10363, 2030, 4995, 13, 28655, 4931, 479, 225, 88, 76, 73, 836, 527, 286, 442, 1570, 290, 314, 3736, 2374, 314, 385, 1316, 286, 723, 313, 325, 398, 3243, 286, 6439, 29374, 5, 1558, 291, 479, 314, 1033, 313, 371, 1792, 225, 69, 2838, 4492, 877, 2101, 326, 225, 88, 76, 73, 2543, 18, 1238, 318, 225, 69, 1308, 26549, 346, 225, 88, 76, 73, 1420, 3760, 517, 12549, 654, 3361, 882, 5449, 427, 225, 88, 76, 73, 1150, 2148, 968, 225, 88, 76, 73, 2441, 18, 314, 703, 715, 1209, 357, 291, 1763, 691, 313, 502, 3340, 442, 554, 18, 203, 2628, 314, 427, 286, 688, 670, 313, 2004, 581, 442, 3738, 6439, 5277, 35, 3514, 313, 1536, 286, 2207, 554, 35, 996, 313, 502, 313, 427, 286, 1424, 530, 688, 5, 996, 313, 427, 654, 2257, 388, 3981, 2330, 1156, 1324, 286, 2859, 530, 554, 12219, 383, 225, 88, 76, 73, 4183, 292, 442, 2111, 18, 17812, 16, 7644, 16, 25028, 290, 3763, 21, 352, 87, 371, 8269, 10479, 359, 761, 5, 203, 6412, 313, 16, 203, 29580, 203, 23293, 292, 9765, 3392, 2097, 20487, 203, 1200, 5056, 10417, 313, 905, 6500, 225, 88, 76, 73, 1420, 3760, 1054, 1576, 18, 314, 4512, 286, 20363, 290, 949, 225, 88, 76, 73, 616, 397, 357, 225, 3594, 8267, 16556, 3473, 357, 550, 2295, 18, 1218, 24681, 357, 882, 3450, 629, 595, 968, 225, 88, 76, 73, 2441, 18, 731, 1071, 499, 325, 286, 1335, 345, 458, 3719, 225, 88, 76, 73, 3361, 290, 357, 385, 225, 69, 877, 2207, 18, 314, 2657, 442, 1787, 291, 541, 313, 882, 821, 225, 88, 76, 73, 3687, 527, 2405, 290, 1797, 18, 731, 1071, 225, 69, 2838, 877, 1616, 18, 996, 313, 703, 2655, 1127, 398, 884, 5277, 313, 424, 1745, 269, 366, 297, 203, 26507, 332, 12416, 35771, 4931, 16, 738, 5277, 11024, 2474, 32583, 828, 20071, 203, 40246, 5277, 4837, 1175, 5297, 17428, 16964, 5277, 16, 17861, 9013, 7391, 421, 2728, 19070, 23810, 37, 28, 3819, 396, 10363, 2030, 4995, 13, 28655, 4931, 16, 17861, 9013, 7391, 421, 2728, 19070, 23810, 37, 28, 3819, 28655, 4931, 16, 16964, 5277, 4837, 1175, 5297, 203, 1537, 3981, 203, 11276, 203, 8079, 377, 16, 2489, 383, 848, 30, 1878, 3242, 203, 6385, 10993, 326, 398, 5069, 290, 5097, 2072, 292, 225, 88, 76, 73, 3260, 19, 14626, 17861, 9013, 7391, 421, 2728, 19070, 23810, 37, 28, 3819, 11065, 18, 738, 3218, 286, 339, 225, 69, 3151, 17, 445, 11065, 16, 517, 314, 424, 821, 345, 225, 88, 76, 73, 26504, 371, 1902, 2838, 8294, 18, 4669, 313, 928, 16, 313, 352, 264, 1142, 1792, 225, 69, 1171, 292, 2278, 650, 313, 1425, 225, 88, 76, 73, 2110, 2543, 18, 314, 703, 9305, 345, 357, 352, 87, 11284, 286, 2207, 225, 88, 76, 73, 5277, 18385, 720, 286, 2207, 1040, 292, 225, 88, 76, 73, 5556, 12991, 290, 21614, 2252, 35, 203, 2852, 203, 29580, 203, 8079, 377, 16, 2489, 383, 848, 30, 7764, 3242, 203, 7250, 3833, 16, 203, 1543, 371, 3825, 442, 5277, 318, 2838, 3527, 325, 691, 313, 371, 1536, 286, 2207, 225, 69, 5277, 706, 225, 88, 76, 73, 13693, 18, 4669, 6456, 314, 459, 1934, 290, 1570, 524, 345, 691, 313, 1127, 398, 884, 5277, 313, 459, 623, 225, 69, 1171, 543, 18404, 326, 398, 9128, 2276, 291, 225, 88, 76, 73, 11920, 619, 1361, 4932, 18, 5750, 551, 2983, 1036, 286, 1127, 398, 884, 6251, 6439, 7815, 326, 811, 1175, 5297, 18, 3783, 530, 688, 691, 313, 427, 654, 2257, 581, 2459, 3687, 5, 203, 6385, 1001, 16, 203, 17, 29580, 203, 2852, 203, 33521, 3745, 203, 8324, 1025, 16, 2616, 383, 384, 30, 6688, 714, 203, 26737, 8015, 10993, 5, 203, 16246, 746, 2094, 16, 4794, 326, 3361, 1823, 15864, 5, 203, 15051, 764, 1248, 940, 698, 2948, 527, 225, 69, 3361, 423, 8419, 16, 541, 691, 313, 424, 16, 314, 703, 664, 286, 821, 291, 554, 292, 398, 5225, 225, 69, 1788, 431, 1788, 723, 325, 708, 286, 1127, 225, 69, 11065, 641, 431, 641, 458, 76, 22700, 22700, 5, 203, 9165, 527, 225, 88, 76, 73, 877, 548, 5161, 69, 5, 203, 2852, 203, 29580, 203, 8324, 1025, 16, 2616, 383, 832, 30, 6643, 714, 203, 11167, 13283, 3745, 16, 203, 45, 6118, 225, 88, 76, 73, 3465, 290, 314, 459, 548, 325, 279, 2983, 2415, 326, 313, 286, 723, 905, 313, 708, 286, 1127, 225, 69, 5277, 326, 2252, 18, 3677, 2251, 5, 314, 644, 5812, 325, 1870, 554, 715, 1919, 352, 88, 688, 691, 2978, 703, 1028, 581, 357, 479, 345, 940, 18, 601, 318, 225, 69, 891, 6195, 286, 339, 1316, 286, 427, 290, 225, 69, 4781, 292, 1189, 1248, 18, 203, 6385, 1001, 16, 203, 17, 29580, 203, 2852, 203, 8323, 203, 8209, 3436, 16, 2616, 383, 685, 30, 2566, 714, 203, 2943, 3198, 318, 1958 ]

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

[ 1909, 2407, 25108, 501, 43529, 696, 29516, 11983, 254, 1038, 262, 1969, 644, 279, 5268, 325, 225, 88, 76, 73, 1715, 16, 5782, 431, 4095, 694, 78, 11983, 124, 322, 9171, 2518, 16, 573, 4650, 2209, 12000, 77, 359, 17356, 18, 409, 5268, 8382, 18210, 423, 6301, 32950, 7106, 290, 11132, 16, 290, 6000, 345, 225, 88, 76, 73, 2178, 1715, 385, 225, 69, 984, 4972, 18, 557, 2608, 23418, 16, 3962, 4095, 694, 78, 5373, 455, 86, 94, 2238, 69, 3689, 225, 88, 76, 73, 6890, 9518, 478, 386, 353, 288, 682, 2379, 35352, 1143, 16, 291, 573, 458, 29060, 345, 2209, 12000, 77, 385, 17356, 18, 203, 203, 829, 225, 88, 76, 73, 15361, 426, 16, 1216, 4938, 573, 30646, 799, 225, 88, 76, 73, 27710, 292, 225, 88, 76, 73, 3696, 18, 36990, 385, 8096, 286, 225, 88, 76, 73, 2066, 345, 1343, 72, 94, 293, 31634, 2209, 12000, 77, 644, 1411, 32386, 11959, 16, 290, 345, 458, 385, 6884, 770, 431, 717, 596, 2004, 458, 7763, 282, 286, 225, 88, 76, 73, 30569, 1258, 526, 17186, 5437, 18, 409, 7655, 643, 10987, 286, 4103, 1190, 10459, 16, 290, 1364, 5373, 39151, 453, 5351, 94, 330, 93, 16, 225, 88, 76, 73, 770, 5190, 11265, 16, 644, 5311, 13013, 431, 2271, 17, 12685, 20266, 16, 357, 703, 1875, 13181, 325, 225, 88, 76, 73, 7576, 1056, 286, 449, 1875, 225, 88, 76, 73, 41463, 14840, 286, 4972, 18, 409, 1715, 4819, 14647, 286, 442, 927, 18, 203, 203, 16992, 494, 87, 203, 203, 3591, 568, 203, 7521, 292, 13749, 35433, 431, 1868, 203, 7521, 292, 13749, 35433, 431, 1319, 292, 9494, 203, 203, 829, 225, 88, 76, 73, 2155, 290, 3354, 203, 409, 11086, 17149, 1159, 4738, 12940, 7941, 579, 2303, 349, 4954, 78, 4351, 16, 3055, 431, 316, 719, 39858, 3332, 303, 75, 335, 9171, 2518, 16, 385, 5166, 431, 225, 88, 76, 73, 1715, 203, 409, 10584, 7284, 1782, 689, 11, 25790, 11, 290, 225, 88, 76, 73, 35434, 2995, 5782, 431, 2011, 39858, 15238, 7253, 16, 385, 1653, 325, 225, 88, 76, 73, 1715, 203, 557, 225, 88, 76, 73, 7884, 7284, 19521, 363, 8490, 16, 225, 88, 76, 73, 1179, 2449, 16, 2533, 431, 331, 9325, 578, 38871, 7054, 16, 1723, 345, 357, 385, 522, 3223, 596, 8779, 2209, 12000, 77, 203, 557, 4988, 16, 2228, 47004, 8371, 91, 553, 6435, 18454, 225, 69, 748, 9430, 689, 59, 753, 347, 2995, 573, 11395, 2879, 2840, 581, 225, 88, 76, 73, 8051, 698, 225, 88, 76, 73, 35434, 18, 409, 748, 526, 2411, 16, 374, 19520, 1969, 2615, 4838, 42601, 79, 16, 504, 8985, 522, 6585, 345, 2209, 12000, 77, 385, 17356, 18, 203, 557, 4109, 16, 225, 69, 685, 17, 6061, 1909, 9706, 29782, 8941, 2166, 30, 20129, 6775, 11983, 254, 80, 35352, 39970, 16080, 225, 88, 76, 73, 1715, 203, 409, 3384, 4738, 395, 4954, 40828, 73, 271, 433, 284, 425, 16, 431, 27632, 79, 5344, 1286, 42185, 290, 1104, 4925, 94, 49623, 523, 1286, 16, 504, 10813, 286, 1343, 72, 94, 293, 31634, 2209, 12000, 77, 203, 557, 225, 88, 76, 73, 2855, 1782, 409, 29634, 17865, 16, 5782, 431, 395, 1330, 94, 454, 21275, 1286, 15711, 16, 30521, 20811, 2467, 78, 42967, 86, 94, 43224, 396, 28941, 431, 2011, 39858, 421, 1286, 380, 13, 18840, 345, 458, 2406, 325, 225, 88, 76, 73, 2209, 43746, 1969, 4972, 291, 522, 4957, 203, 12910, 286, 522, 8973, 9518, 16, 4095, 694, 78, 5373, 455, 86, 94, 2238, 69, 2740, 225, 69, 1782, 291, 2489, 16, 9706, 314, 2383, 225, 69, 31900, 203, 2489, 16, 396, 4414, 6175, 1910, 13, 689, 59, 753, 347, 2303, 27085, 12784, 28972, 16832, 2995, 225, 69, 9518, 431, 1890, 94, 353, 1330, 31634, 16907, 24510, 3070, 203, 409, 2153, 7284, 4738, 35522, 24072, 6209, 1515, 25581, 318, 14567, 5166, 431, 225, 88, 76, 73, 2209, 12000, 77, 1715, 203, 203, 1987, 203, 203, 3257, 2477, 1563, 1343, 72, 94, 293, 31634, 2209, 12000, 77, 291, 10624, 203, 203, 32449, 4686, 203, 24879, 25371, 291, 9732, 203, 17518, 25371, 291, 9732, 203, 22058, 5850, 203, 19441, 87, 25371, 291, 9732, 203, 17518, 87, 25371, 291, 9732, 203, 825, 88, 76, 17, 4577, 10624, 21128, 203, 1893, 26327, 717, 423, 47593, 666, 29322, 203, 1893, 26327, 10624, 13749, 35433, 203, 22934, 13749, 35433, 203, 50, 320, 10642, 3790, 203, 5013, 17728, 292, 6958, 431, 9732, 203, 5013, 12328, 431, 225, 88, 76, 73, 10624, 4433, 526, 4321, 203, 5013, 423, 389, 35352, 49840, 69, 46066, 86, 12294, 4197, 203, 31897, 6958, 366, 292, 1528, 203, 31897, 717, 17728, 292, 6958, 2, 0, 3894, 279, 7283, 318, 225, 69, 3222, 19606, 388, 46534, 1055, 292, 7981, 1257, 291, 14053, 7573, 291, 44809, 18, 203, 203, 3894, 279, 7283, 388, 2790, 1294, 7283, 783, 568, 3188, 286, 30, 4327, 2790, 1294, 7283, 16, 8675, 29689, 203, 2790, 1294, 7283, 17, 73, 48116, 317, 7212, 328, 11989, 16, 393, 1239, 9879, 2, 0, 521, 10673, 12065, 8213, 3586, 7202, 6263, 318, 279, 4230, 34569, 2746, 6721, 2533, 1133, 5012, 7126, 291, 10673, 12065, 16, 346, 554, 15132, 423, 1040, 292, 225, 88, 76, 73, 2176, 1682, 6820, 18469, 18, 409, 8934, 292, 225, 88, 76, 73, 10673, 12065, 2746, 9287, 11521, 326, 225, 88, 76, 73, 1558, 17, 28000, 8213, 3586, 7202, 6263, 18, 203, 203, 6355, 203, 203, 521, 10673, 12065, 8213, 3586, 7202, 6263, 318, 279, 4230, 34569, 2746, 6721, 2533, 325, 225, 69, 33800, 4177, 1133, 225, 88, 76, 73, 5012, 2595, 9287, 8934, 292, 225, 88, 76, 73, 11611, 14372, 291, 10673, 12065, 16, 346, 225, 88, 76, 73, 1408, 292, 225, 88, 76, 73, 3023, 6122, 1364, 2286, 18, 10923, 286, 442, 16, 225, 88, 76, 73, 3023, 6122, 6291, 225, 88, 76, 73, 479, 17, 28000, 1909, 383, 225, 88, 76, 73, 5127, 2243, 3232, 18, 409, 1474, 16111, 292, 225, 88, 76, 73, 3525, 371, 13817, 12260, 363, 3560, 272, 292, 6340, 33725, 18, 2776, 225, 69, 16039, 4174, 13659, 2922, 286, 6799, 16, 33742, 1752, 1113, 18, 15239, 1448, 643, 225, 88, 76, 73, 724, 8934, 292, 225 ]

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

[ 853, 4471, 819, 709, 1172, 2361, 292, 225, 88, 76, 73, 2107, 1891, 385, 3179, 18, 203, 203, 26923, 203, 10571, 17114, 4339, 10395, 427, 652, 3179, 291, 543, 720, 1220, 11691, 7442, 431, 709, 3617, 3176, 291, 3303, 3317, 18, 2107, 17114, 10395, 1706, 30, 203, 409, 2361, 292, 225, 88, 76, 73, 2107, 1891, 318, 279, 4230, 7119, 292, 15475, 3617, 5443, 2579, 290, 225, 88, 76, 73, 5658, 3069, 6624, 290, 5395, 1808, 225, 88, 76, 73, 9689, 286, 2500, 624, 18, 203, 34708, 24623, 6374, 1670, 16, 5443, 290, 4087, 7491, 290, 28731, 1415, 290, 4163, 18, 203, 203, 3591, 568, 203, 48, 3489, 395, 18, 5635, 16, 7754, 292, 2107, 17114, 4339, 203, 7161, 12183, 465, 16, 2677, 7042, 292, 2107, 17114, 16, 573, 22953, 8491, 291, 2987, 18, 203, 41702, 4691, 203, 29669, 14664, 203, 7521, 292, 5443, 4057, 203, 10571, 26338, 10264, 21063, 7817, 203, 203, 1987, 203, 203, 3257, 2477, 24405, 203, 29669, 4057, 1653, 291, 4365, 16, 389, 18, 39, 18, 203, 36538, 3178, 291, 10945, 203, 22366, 9011, 291, 4365, 16, 389, 18, 39, 18, 203, 15032, 13615, 1653, 291, 225, 88, 76, 73, 1851, 2198, 203, 20254, 658, 13777, 1990, 1033, 13615, 203, 35370, 6866, 15677, 3074, 203, 35370, 6866, 4057, 2, 0, 18287, 410, 89, 19718, 8963, 318, 225, 69, 4227, 2558, 291, 225, 88, 76, 73, 4574, 396, 6709, 8287, 13, 4521, 292, 2398, 8287, 9879, 16, 9778, 18, 1099, 292, 3008, 16, 357, 644, 225, 69, 3650, 292, 2116, 717, 18, 203, 203, 1987, 203, 203, 23658, 291, 2398, 8287, 4795, 4010, 2, 0, 17677, 19696, 308, 689, 17677, 10131, 6, 23090, 1895, 567, 261, 7592, 1065, 396, 7800, 1188, 16, 25549, 696, 2209, 1188, 16, 18010, 13, 385, 225, 69, 8091, 13291, 16, 596, 11904, 383, 225, 88, 76, 73, 19611, 5652, 7835, 291, 3023, 18, 17372, 291, 409, 33771, 16, 458, 3904, 383, 2184, 8821, 291, 1343, 404, 10573, 1689, 5897, 24963, 291, 9732, 18, 203, 203, 829, 225, 88, 76, 73, 2313, 12696, 16, 7592, 1065, 4265, 8511, 396, 24306, 13, 291, 522, 724, 2806, 3768, 286, 339, 15410, 423, 4174, 18, 225, 731, 568, 4265, 1172, 291, 522, 17249, 3768, 292, 225, 88, 76, 73, 926, 12696, 16, 2158, 2630, 291, 225, 88, 76, 73, 1220, 17, 1010, 3768, 18, 203, 203, 1987, 203, 203, 16741, 48528, 203, 45777, 4686, 203, 33061, 5850, 203, 26378, 4062, 470, 7833, 1039, 203, 17035, 8633, 292, 225, 88, 76, 73, 9711, 203, 33780, 396, 9345, 290, 1962, 13, 383, 225, 88, 76, 73, 19611, 5652, 7835, 203, 17869, 423, 409, 33771, 203, 5013, 423, 14057, 329, 2, 0, 49, 8332, 2531, 9998, 484, 16813, 9069, 396, 3640, 2382, 1519, 16, 17007, 291, 319, 28205, 290, 3904, 325, 2494, 685, 16, 10201, 13, 385, 225, 69, 24196, 666, 6693, 16, 11394, 16, 290, 6432, 18, 203, 203, 10449, 203, 46, 12211, 16813, 2154, 225, 88, 76, 73, 8668, 3962, 292, 225, 88, 76, 73, 3052, 1812, 1428, 294, 11, 2282, 1323, 423, 13499, 286, 15360, 18, 203, 203, 28159, 12088, 50012, 23823, 396, 48318, 19697, 154, 236, 36735, 19697, 38900, 13, 203, 50012, 5164, 88, 509, 82, 299, 396, 48318, 19697, 154, 236, 22250, 117, 153, 120, 36735, 26425, 26871, 19697, 13, 203, 50012, 42119, 1000, 28230, 341, 88, 27146, 299, 396, 48318, 19697, 154, 236, 22250, 110, 29560, 154, 230, 22250, 116, 38900, 25417, 39463, 36735, 19697, 26871, 19697, 13, 203, 50012, 36354, 3487, 1000, 396, 24984, 153, 260, 19697, 154, 236, 22250, 111, 38516, 154, 230, 13, 203, 23823, 23590, 15225, 2571, 396, 29560, 19697, 38900, 225, 24984, 48318, 14726, 26425, 14726, 13, 203, 31317, 480, 273, 523, 396, 14726, 24984, 14726, 225, 19697, 24984, 154, 230, 39463, 27339, 42133, 13, 203, 1099, 80, 310, 3404, 622, 396, 153, 101, 153, 118, 19697, 36735, 153, 115, 26871, 26425, 13, 203, 5198, 1000, 16339, 3166, 396, 42133, 29560, 154, 230, 22250, 108, 26425, 47681, 14726, 26425, 26871, 13, 203, 21687, 446, 4195, 396, 154, 230, 14726, 46765, 29560, 26871, 26871, 25417, 27339, 13, 203, 20181, 15225, 41840, 1736, 7550, 396, 153, 117, 48318, 19697, 27339, 14726, 225, 19697, 46765, 39463, 26871, 19697, 44605, 13, 203, 755, 275, 328, 418, 275, 328, 396, 153, 117, 27339, 26871, 44605, 22250, 117, 27339, 26871, 44605, 13, 203, 23357, 275, 6577, 396, 153, 103, 154, 230, 27339, 26871, 26425, 26871, 13, 203, 3006, 29078, 3186, 396, 29560, 48318, 153, 115, 27339, 19697, 13, 203, 3006, 278, 270, 1513, 278, 270, 396, 29560, 46765, 26425, 36735, 46765, 26425, 13, 203, 17051, 27808, 47845, 23590, 418, 501, 310, 3404, 622, 396, 29560, 19697, 26871, 225, 24984, 14726, 22250, 122, 24984, 25417, 27339, 22250, 117, 14726, 46765, 36735, 153, 115, 26871, 26425, 13, 203, 2433, 45391, 309, 588, 28881, 396, 153, 103, 26425, 225, 154, 230, 14726, 26425, 225, 26425, 153, 118, 26871, 42133, 26871, 13, 203, 2433, 637, 69, 396, 29560, 26425, 47681, 32463, 99, 13, 203, 7871, 321, 1428, 396, 29560, 47681, 24984, 25417, 32463, 99, 13, 203, 430, 3404, 284, 5175, 69, 396, 29560, 153, 115, 25417, 154, 229, 32463, 99, 13, 203, 13249, 3662, 396, 46765, 32463, 120, 24984, 44605, 13, 203, 13249, 3662, 2240, 289, 81, 2439, 396, 46765, 32463, 120, 24984, 44605, 225, 27339, 153, 260, 24984, 32463, 112, 44605, 13, 203, 2813, 269, 13392, 773, 1513, 3081, 275, 35314, 396, 46765, 26871, 22250, 122, 26871, 27339, 26425, 36735, 42133, 38516, 27339, 26871, 44605, 13, 203, 2813, 47088, 6687, 425, 79, 309, 284, 396, 46765, 26871, 22250, 122, 26871, 27339, 26425, 154, 230, 225, 26425, 14726, 25417, 13, 203, 6535, 1636, 225, 11733, 490, 24677, 76, 7989, 76, 396, 154, 229, 19697, 42133, 26871, 36735, 19697, 26871, 22250, 111, 153, 113, 26871, 39463, 26871, 38900, 13, 203, 421, 593, 2166, 418, 1530, 69, 396, 153, 123, 26425, 26871, 22250, 117, 27339, 26871, 44605, 13, 203, 421, 593, 2166, 21774, 359, 18838, 396, 153, 123, 26425, 26871, 225, 26871, 14726, 22250, 122, 153, 118, 46765, 27339, 25417, 13, 203, 35120, 2192, 268, 78, 2192, 396, 153, 260, 153, 110, 26871, 26425, 14726, 225, 27339, 153, 110, 26871, 26425, 14726, 13, 203 ]

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

[ 286, 4741, 658, 225, 88, 76, 73, 15542, 18, 203, 829, 554, 2590, 30382, 9425, 16, 18363, 318, 34025, 15542, 3902, 689, 17672, 6797, 16, 14628, 16, 22576, 19642, 1605, 780, 9609, 431, 12567, 5635, 290, 8215, 308, 780, 29136, 1723, 689, 17655, 5256, 290, 554, 16, 2769, 5256, 290, 797, 16, 2769, 5256, 290, 1220, 16, 2769, 5256, 290, 1560, 19642, 4121, 544, 2164, 524, 292, 7498, 780, 7465, 286, 689, 38524, 554, 16, 7191, 797, 16, 7191, 1220, 19642, 203, 12158, 1608, 47691, 203, 8830, 7882, 5951, 18, 8607, 675, 30, 409, 33997, 6754, 318, 14557, 18087, 650, 13585, 9819, 431, 18, 689, 30802, 16, 3815, 16, 6196, 4110, 35520, 17, 30010, 16, 554, 8620, 18, 1594, 985, 2466, 314, 979, 2769, 5455, 1556, 203, 19897, 24425, 30, 409, 15530, 8918, 30, 16365, 395, 467, 373, 30021, 286, 3991, 225, 88, 76, 73, 5450, 438, 4727, 2938, 325, 225, 88, 76, 73, 3711, 292, 2769, 691, 458, 2087, 985, 3402, 45966, 225, 88, 76, 73, 41805, 292, 225, 88, 76, 73, 8840, 292, 40709, 18, 409, 39063, 3177, 689, 582, 16, 797, 16, 6196, 16, 646, 19642, 601, 526, 770, 650, 395, 467, 373, 22684, 225, 88, 76, 73, 5835, 291, 225, 88, 76, 73, 4273, 291, 2290, 292, 225, 88, 76, 73, 20443, 345, 6138, 524, 286, 339, 225, 88, 76, 73, 11514, 286, 225, 88, 76, 73, 8840, 345, 458, 9373, 225, 88, 76, 73, 4960, 968, 18, 203, 521, 31650, 3949, 396, 24004, 4922, 458, 2087, 985, 3578, 13008, 225, 69, 1162, 4074, 16, 517, 225, 88, 76, 73, 1664, 318, 225, 88, 76, 73, 1150, 650, 319, 580, 11372, 14391, 286, 12108, 346, 47225, 75, 487, 981, 9990, 950, 431, 8899, 522, 3326, 290, 15543, 286, 2769, 18, 2586, 551, 12528, 18, 393, 1052, 2436, 31378, 21165, 16, 6196, 16, 2769, 7137, 203, 12158, 1608, 7088, 17, 27984, 203, 37, 15229, 423, 225, 88, 76, 73, 39418, 21728, 7329, 3648, 16, 1154, 225, 69, 6683, 9884, 431, 9198, 34444, 16, 225, 88, 76, 73, 3525, 2449, 504, 286, 1880, 554, 292, 522, 524, 17, 1586, 17, 49905, 1673, 286, 689, 9678, 290, 1422, 530, 7191, 2656, 2776, 225, 88, 76, 73, 9198, 318, 21527, 431, 1334, 2935, 16, 21728, 7329, 12470, 49266, 1723, 689, 2702, 452, 2995, 874, 1155, 225, 88, 76, 73, 2879, 770, 4642, 581, 554, 290, 225, 69, 2333, 4336, 5217, 18, 203, 1356, 46570, 291, 8009, 21683, 1154, 225, 88, 76, 73, 2271, 17, 41233, 1603, 39063, 18, 203, 27331, 30, 20540, 18, 17278, 18, 11554, 18, 203, 12658, 306, 768, 30, 11554, 12740, 374, 17, 10475, 4527, 286, 4266, 35, 203, 27331, 30, 2864, 29276, 5, 203, 2702, 596, 424, 4926, 2938, 11835, 423, 46904, 16400, 290, 225, 88, 76, 73, 8600, 1233, 552, 30, 203, 17243, 11835, 30, 2060, 16, 797, 16, 11248, 5, 203, 4075, 21119, 670, 526, 419, 8466, 30, 7870, 16, 24393, 5, 203, 17243, 11835, 30, 7870, 5, 203, 829, 4023, 33551, 16, 9640, 14833, 225, 69, 49067, 3648, 1740, 689, 12659, 1067, 346, 393, 1886, 766, 35772, 6, 573, 2134, 225, 69, 4573, 827, 14582, 16, 225, 88, 76, 73, 1179, 2449, 16, 8827, 706, 225, 69, 6552, 49067, 30, 203, 36868, 30, 17374, 18, 314, 1880, 21774, 670, 314, 2383, 11416, 1422, 313, 16, 7915, 1073, 18, 203, 63, 36868, 19171, 524, 522, 5420, 2256, 7422, 65, 203, 36868, 30, 314, 2383, 11416, 1422, 313, 286, 225, 88, 76, 73, 3711, 292, 2769, 286, 623, 398, 17491, 16, 305, 5284, 16, 786, 17, 13027, 851, 1896, 706, 551, 2646, 16, 981, 314, 5665, 398, 37437, 1444, 69, 1083, 5, 203, 20058, 1073, 30, 1558, 1054, 16, 14582, 16, 314, 2383, 9905, 5, 314, 2383, 1191, 5, 203, 36868, 30, 2060, 1143, 797, 1143, 2769, 5, 203, 63, 20058, 1073, 3464, 10296, 5540, 27958, 359, 14582, 23582, 563, 9909, 491, 65, 203, 36868, 30, 6366, 225, 88, 76, 73, 1626, 16, 21774, 44269, 5684, 5, 203, 11677, 30, 203, 14584, 17, 27984, 3282, 203, 37, 15229, 291, 279, 5268, 292, 3537, 389, 22454, 16, 650, 395, 13170, 318, 2586, 286, 30535, 279, 6053, 326, 225, 69, 2651, 33298, 3836, 2537, 16, 689, 1647, 1071, 225, 88, 76, 73, 1731, 11670, 1880, 443, 581, 608, 287, 1239, 6144, 774, 3851, 357, 526, 2017, 345, 458, 504, 786, 2251, 670, 225, 69, 1731, 11670, 388, 225, 69, 608, 287, 284, 318, 18, 411, 1896, 16013, 225, 88, 76, 73, 1628, 290, 395, 13170, 3856, 1062, 1901, 286, 37616, 77, 82, 10088, 16, 442, 21831, 1721, 6966, 225, 88, 76, 73, 2537, 292, 670, 225, 88, 76, 73, 1731, 11670, 6180, 443, 581, 608, 287, 1239, 1556, 203, 4331, 389, 31591, 1071, 442, 431, 225, 88, 76, 73, 1184, 291, 225, 69, 9300, 377, 5268, 292, 4682, 5525, 18, 731, 526, 1870, 4336, 17, 5217, 291, 522, 8339, 16, 15543, 811, 522, 5295, 16, 290, 650, 522, 3564, 16013, 225, 88, 76, 73, 1628, 458, 32307, 3177, 423, 2013, 27574, 286, 7630, 291, 225, 88, 76, 73, 15361, 426, 18, 203, 829, 225, 88, 76, 73, 4790, 19341, 30, 49291, 5268, 689, 485, 6124, 11515, 6, 4838, 5438, 318, 1870, 4336, 17, 5217, 291, 522, 21018, 3035, 396, 7124, 1806, 859, 731, 4918, 5069, 346, 689, 3134, 16, 797, 16, 1220, 2995, 517, 857, 2160, 303, 2436, 1822, 291, 346, 225, 69, 6114, 18, 1979, 225, 69, 4349, 17367, 458, 20696, 286, 689, 25782, 1724, 93, 17, 21165, 16, 35520, 17, 30010, 16, 554, 4110, 1556, 203, 11780, 203, 1624, 1378, 1953, 16, 225, 88, 76, 73, 1963, 23021, 431, 3990, 20380, 504, 442, 3274, 291, 225, 88, 76, 73, 10410, 30, 689, 4398, 314, 1317, 2037, 965, 16, 15543, 4807, 5988, 18, 2060, 16, 797, 16, 13008, 225, 69, 1162, 18, 9041, 624, 527, 326, 36577, 1556, 203, 41043, 4814, 26169, 203, 829, 689, 11780, 286, 1832, 430, 1239, 6, 423, 11269, 291, 225, 88, 76, 73, 4780, 4995, 3010, 16, 453, 9064, 359, 225, 88, 76, 73, 2804, 30412, 18376, 225, 88, 76, 73, 689, 11319, 16, 707, 1594, 3844, 6, 1963, 346, 689, 18205, 5, 332, 17 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1041, 7489, 225, 88, 76, 73, 12592, 4585, 352, 87, 1118, 292, 225, 88, 76, 73, 3260, 25731, 318, 32855, 431, 225, 88, 76, 73, 1851, 2198, 8563, 29361, 6653, 9430, 16, 616, 36181, 1665, 16, 8087, 290, 19583, 38931, 550, 2404, 325, 2262, 2357, 16, 11153, 18, 3024, 7175, 7073, 6208, 3571, 43397, 79, 3149, 34068, 345, 225, 88, 76, 73, 3260, 19169, 4771, 385, 1249, 225, 88, 76, 73, 1324, 7324, 1167, 359, 225, 69, 7706, 286, 777, 432, 31382, 18480, 2532, 2845, 286, 6719, 2660, 4060, 7106, 16, 345, 225, 88, 76, 73, 3260, 25731, 644, 17804, 5311, 647, 2822, 383, 225, 69, 6379, 1250, 573, 6449, 286, 1118, 225, 88, 76, 73, 1324, 7324, 1167, 16, 290, 345, 616, 9155, 1592, 1102, 695, 2741, 345, 745, 16, 691, 449, 479, 16, 292, 225, 88, 76, 73, 1518, 345, 318, 3220, 286, 225, 88, 76, 73, 1528, 383, 225, 88, 76, 73, 10012, 16, 290, 11437, 544, 427, 803, 46958, 16, 318, 1902, 14095, 388, 11289, 423, 19802, 359, 225, 69, 1873, 292, 400, 5365, 762, 4471, 1076, 63, 5777, 65, 43397, 79, 3149, 16, 14639, 1376, 291, 5960, 346, 225, 88, 76, 73, 19410, 352, 87, 5510, 18032, 291, 28382, 16, 11866, 553, 438, 290, 12033, 292, 378, 3447, 699, 352, 42964, 16, 34068, 286, 1041, 7489, 225, 88, 76, 73, 25731, 16, 290, 225, 88, 76, 73, 29948, 573, 5350, 624, 18, 32441, 16, 5143, 7238, 16, 14867, 7383, 296, 635, 261, 34068, 345, 458, 644, 2524, 225, 69, 4500, 292, 225, 88, 76, 73, 21641, 1184, 423, 9464, 3296, 3022, 4414, 346, 225, 88, 76, 73, 1474, 2777, 16, 2262, 2357, 88, 76, 18, 203, 30005, 38505, 16, 20095, 2578, 522, 5931, 291, 225, 88, 76, 73, 2511, 862, 16, 11324, 286, 225, 88, 76, 73, 19219, 290, 21901, 225, 88, 76, 73, 1324, 7324, 1167, 290, 225, 88, 76, 73, 3260, 19169, 4771, 1154, 225, 69, 2274, 4975, 325, 556, 17866, 60, 21456, 49184, 3888, 325, 2262, 2399, 16, 11153, 16, 225, 88, 76, 73, 927, 819, 225, 88, 76, 73, 8563, 29361, 18, 29005, 19632, 581, 225, 88, 76, 73, 2094, 16, 15785, 16, 290, 20547, 292, 225, 88, 76, 73, 1184, 16, 458, 928, 16, 616, 88, 76, 73, 21641, 1184, 1071, 449, 5238, 346, 531, 1185, 346, 1592, 292, 225, 88, 76, 73, 3260, 19169, 4771, 1076, 63, 5932, 65, 8781, 3788, 16, 38505, 16224, 225, 88, 76, 73, 548, 292, 225, 88, 76, 73, 1840, 3260, 19169, 4771, 1592, 596, 7553, 1846, 1040, 2980, 286, 5173, 7324, 326, 225, 88, 76, 73, 31253, 17, 15425, 286, 554, 4110, 1528, 3220, 1040, 927, 18, 38505, 21901, 225, 88, 76, 73, 4933, 292, 225, 88, 76, 73, 3260, 19169, 4771, 291, 225, 88, 76, 73, 6147, 359, 29308, 16, 359, 458, 644, 7265, 15262, 519, 486, 17, 3330, 274, 342, 292, 225, 69, 616, 10573, 4948, 394, 989, 26117, 550, 3343, 325, 37467, 3568, 14261, 1791, 65, 203, 10608, 9139, 286, 1041, 7489, 225, 88, 76, 73, 1167, 16, 357, 3838, 754, 225, 88, 76, 73, 4618, 290, 698, 225, 88, 76, 73, 2779, 18, 557, 225, 69, 2274, 5212, 2740, 291, 1118, 292, 225, 88, 76, 73, 7324, 1167, 16, 38505, 1740, 2949, 286, 797, 6986, 426, 18, 3440, 16, 1027, 2151, 6861, 643, 17375, 17245, 291, 3024, 7175, 16, 225, 88, 76, 73, 3260, 19169, 4771, 346, 1504, 1118, 16, 385, 11413, 4093, 554, 4110, 1528, 1040, 2980, 18, 1108, 644, 10839, 225, 69, 2717, 345, 1830, 6861, 643, 1146, 23759, 286, 4773, 18, 1009, 1361, 16, 2453, 225, 88, 76, 73, 25096, 3503, 16, 616, 80, 1615, 272, 290, 24460, 427, 652, 3220, 291, 345, 6582, 286, 6982, 290, 5224, 26225, 291, 225, 88, 76, 73, 1504, 550, 290, 616, 35439, 981, 644, 225, 88, 76, 73, 4791, 3308, 3625, 283, 9918, 698, 225, 88, 76, 73, 39273, 16, 9546, 225, 88, 76, 73, 17604, 16, 388, 7548, 225, 88, 76, 73, 3768, 292, 225, 88, 76, 73, 24402, 1076, 1218, 16, 952, 442, 385, 225, 69, 864, 5437, 3260, 15807, 1167, 16, 6861, 423, 225, 88, 76, 73, 4791, 3308, 3625, 1882, 286, 20327, 4797, 290, 2359, 8730, 18, 38505, 3972, 16, 616, 87, 22636, 19169, 46958, 643, 225, 69, 4337, 286, 1489, 1076, 63, 7933, 65, 557, 225, 69, 1240, 836, 16, 38505, 8982, 225, 88, 76, 73, 31064, 290, 15567, 3731, 431, 33973, 18, 203, 37, 1162, 1477, 1708, 16, 225, 69, 5212, 3055, 431, 38505, 385, 6291, 698, 225, 88, 76, 73, 29206, 12430, 431, 225, 88, 76, 73, 47575, 27377, 23918, 292, 3470, 18, 38505, 16, 616, 16014, 323, 45359, 286, 225, 88, 76, 73, 15042, 291, 225, 88, 76, 73, 5212, 959, 431, 23982, 3571, 43397, 79, 3149, 1395, 290, 11601, 43397, 79, 3149, 292, 42564, 326, 225, 88, 76, 73, 12592, 17226, 352, 10515, 346, 225, 88, 76, 73, 3260, 19169, 4771, 14261, 7764, 65, 38505, 7633, 11582, 8607, 12396, 16, 43397, 79, 3149, 290, 225, 88, 76, 73, 7073, 22319, 3693, 346, 20985, 952, 292, 12592, 4585, 352, 87, 548, 346, 225, 88, 76, 73, 3260, 1504, 18, 731, 34609, 345, 1592, 292, 225, 88, 76, 73, 7073, 22319, 3693, 14847, 33017, 1216, 286, 24488, 13146, 1306, 270, 2389, 286, 1353, 3946, 325, 950, 290, 225, 88, 76, 73, 9462, 18, 203, 38, 21435, 16, 359, 225, 88, 76, 73, 1502, 2245, 292, 225, 88, 76, 73, 12592, 4585, 16, 385, 1112, 346, 22279, 423, 225, 88, 76, 73, 1502, 16, 596, 18017, 522, 23404, 18, 13146, 1306, 270, 8136, 10849, 3946, 286, 21368, 420, 950, 517, 10973, 286, 502, 541, 18, 1099, 225, 88, 76, 73, 3224, 286, 1041, 7489, 225, 88, 76, 73, 3260, 19169, 4771, 5789, 543, 3044, 290, 1502, 18285, 3716, 16, 38505, 2524, 7566, 292, 1118, 423, 26225, 1060, 225, 88, 76, 73, 4407, 16, 616, 45, 714, 7123, 313, 7792, 524, 581, 225, 88, 76, 73, 3260, 25731, 290, 21901, 624, 18, 1366, 798, 717, 291, 442, 1004, 371, 36110, 290, 427, 286, 3979, 326, 1228, 544, 371, 449, 11959, 292, 1076, 63, 7988, 65, 38505, 568 ]

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

[ 10995, 546, 6268, 345, 522, 11665, 3464, 524, 292, 1945, 770, 1912, 16, 290, 345, 383, 225, 69, 14313, 2237, 47871, 650, 458, 10417, 225, 69, 18949, 2460, 318, 1870, 5516, 286, 554, 292, 225, 88, 76, 73, 1528, 18, 203, 3018, 522, 28312, 9382, 16, 522, 17415, 286, 6552, 8931, 16, 290, 522, 3984, 514, 36762, 4284, 352, 88, 1796, 286, 5942, 225, 88, 76, 73, 9310, 292, 442, 1782, 18, 2776, 314, 943, 352, 88, 813, 286, 499, 359, 1856, 359, 286, 1335, 345, 442, 318, 225, 69, 48587, 1054, 17, 13442, 23949, 1782, 388, 225, 69, 13707, 3897, 326, 225, 88, 76, 73, 4223, 16, 660, 318, 1334, 581, 17082, 352, 87, 4674, 11365, 290, 225, 88, 76, 73, 2230, 291, 573, 803, 11365, 371, 12988, 698, 28312, 7287, 345, 744, 950, 12684, 286, 225, 88, 76, 73, 1644, 1502, 290, 2047, 326, 225, 88, 76, 73, 12234, 4539, 225, 88, 76, 73, 1782, 504, 8828, 18, 203, 39912, 504, 42914, 423, 225, 69, 29903, 23638, 345, 3152, 5530, 5118, 325, 225, 88, 76, 73, 4399, 292, 1201, 696, 290, 431, 7898, 1868, 696, 479, 811, 225, 88, 76, 73, 2029, 746, 3511, 292, 225, 69, 26995, 277, 2203, 18, 1728, 3223, 39546, 1840, 17082, 650, 225, 88, 76, 73, 1136, 602, 1367, 1822, 286, 225, 88, 76, 73, 7128, 292, 522, 6711, 3845, 290, 589, 43534, 775, 291, 950, 225, 88, 76, 73, 2251, 345, 291, 225, 69, 1004, 827, 45961, 32377, 19251, 325, 37722, 3310, 14535, 16, 225, 88, 76, 73, 15634, 292, 225, 88, 76, 73, 14535, 19859, 371, 11109, 16, 290, 14428, 18, 1238, 352, 87, 786, 2537, 345, 17082, 2569, 325, 225, 88, 76, 73, 2450, 292, 225, 88, 76, 73, 14535, 19859, 16, 225, 69, 563, 596, 318, 11530, 286, 3630, 225, 88, 76, 73, 7733, 650, 458, 8827, 225, 88, 76, 73, 4239, 5987, 292, 225, 88, 76, 73, 1727, 25710, 291, 14571, 291, 6890, 290, 596, 7842, 675, 522, 14200, 650, 225, 88, 76, 73, 18736, 2377, 325, 1260, 19, 2288, 18, 1009, 660, 352, 87, 786, 2537, 291, 522, 1763, 345, 225, 88, 76, 73, 1727, 318, 225, 88, 76, 73, 14535, 19859, 292, 225, 88, 76, 73, 1004, 18, 203, 4075, 1846, 777, 432, 343, 4303, 698, 4960, 3354, 23026, 950, 286, 339, 225, 88, 76, 73, 35721, 16, 23323, 14840, 16634, 1201, 290, 1868, 18, 1728, 17898, 326, 225, 88, 76, 73, 10881, 292, 12319, 17756, 1379, 272, 318, 286, 3561, 624, 291, 670, 458, 4953, 910, 30, 708, 286, 13630, 3991, 225, 69, 864, 17, 38870, 18346, 18, 1979, 17645, 706, 225, 69, 1319, 292, 11341, 325, 3161, 16, 554, 292, 225, 88, 76, 73, 1673, 19849, 3448, 1723, 345, 458, 352, 87, 1427, 522, 563, 2831, 785, 18, 409, 3551, 3341, 3648, 318, 225, 88, 76, 73, 3297, 291, 225, 69, 941, 1695, 292, 531, 2763, 24083, 345, 34184, 29222, 754, 6991, 18, 203, 39912, 318, 12039, 874, 1535, 225, 88, 76, 73, 991, 345, 660, 318, 10119, 291, 225, 88, 76, 73, 1004, 290, 225, 88, 76, 73, 1727, 14535, 19859, 1381, 39355, 357, 18, 738, 47817, 25190, 5983, 326, 522, 571, 368, 900, 3401, 6585, 345, 225, 88, 76, 73, 22989, 12732, 371, 4289, 1079, 286, 339, 25236, 2741, 18, 395, 3133, 1393, 1455, 292, 591, 88, 76, 3503, 2290, 5199, 4063, 291, 519, 3347, 581, 11621, 17, 32095, 16, 17082, 3093, 286, 2466, 345, 225, 88, 76, 73, 770, 877, 22989, 318, 225, 69, 3830, 22989, 16, 874, 691, 345, 877, 9662, 318, 225, 69, 1103, 346, 225, 69, 1346, 7422, 18, 28609, 17082, 318, 449, 225, 88, 76, 73, 770, 15783, 286, 16399, 286, 442, 6585, 1056, 18, 1238, 352, 87, 786, 1628, 326, 47649, 940, 1490, 15460, 581, 388, 10878, 326, 225, 88, 76, 73, 4168, 291, 442, 563, 352, 87, 7733, 18, 203, 17480, 3341, 290, 522, 5772, 84, 674, 769, 262, 943, 352, 88, 5061, 2939, 423, 17082, 352, 87, 6585, 16, 290, 4722, 442, 16373, 691, 449, 8499, 292, 1644, 46519, 7922, 225, 69, 37301, 1128, 291, 225, 88, 76, 73, 9684, 292, 798, 7218, 596, 1246, 519, 11131, 16, 2466, 291, 1644, 8071, 1486, 16, 290, 6497, 12039, 345, 225, 69, 36872, 955, 359, 22989, 385, 1146, 225, 88, 76, 73, 1054, 909, 286, 502, 18, 601, 352, 87, 1709, 286, 18828, 286, 225, 88, 76, 73, 10088, 345, 345, 225, 88, 76, 73, 9662, 293, 371, 4289, 1079, 2123, 3551, 3341, 352, 87, 4555, 292, 22989, 7907, 291, 225, 88, 76, 73, 2391, 7440, 30, 225, 88, 76, 73, 2974, 596, 2988, 706, 225, 88, 76, 73, 48859, 286, 633, 3198, 31, 225, 88, 76, 73, 7645, 545, 1357, 292, 5529, 596, 17424, 17082, 352, 87, 4411, 286, 2037, 326, 5368, 770, 286, 427, 17082, 2957, 279, 6728, 22039, 811, 225, 88, 76, 73, 3602, 9468, 31, 616, 521, 44409, 1395, 225, 69, 4916, 29918, 1313, 326, 995, 17, 25107, 80, 7427, 4214, 8388, 292, 8730, 318, 225, 69, 16070, 290, 4214, 8957, 318, 5162, 346, 2219, 1657, 2994, 18, 203, 1624, 10245, 58, 1655, 328, 32148, 7844, 32321, 6875, 541, 345, 458, 385, 225, 69, 543, 10657, 50228, 286, 2938, 720, 2084, 5187, 16, 3551, 3341, 871, 590, 225, 69, 11886, 8959, 1010, 326, 225, 88, 76, 73, 10517, 37660, 383, 225, 88, 76, 73, 8503, 18933, 1021, 2811, 2026, 18, 17082, 352, 87, 309, 353, 9419, 318, 359, 7842, 225, 69, 21955, 359, 458, 318, 16, 517, 4223, 5464, 4953, 1308, 581, 950, 609, 720, 458, 1912, 1825, 279, 9399, 3565, 8189, 326, 15922, 291, 7471, 4174, 18, 42798, 458, 352, 87, 449, 541, 940, 47518, 359, 3063, 16, 35803, 1968, 18, 601, 352, 87, 1709, 286, 1335, 345, 874, 225, 69, 15382, 1750, 292, 522, 2449, 318, 3785, 225, 88, 76, 73, 8991, 292, 442, 3648, 18, 1009, 345, 10488, 905, 449, 339, 2404, 286, 6979, 4728, 326, 10824, 291, 5939, 6403, 18, 1218, 225, 88, 76, 73, 4933, 292, 541, 798, 554, 17, 18148, 616, 38378, 550, 2884, 318, 935, 43180, 290, 6887, 18, 39280, 952, 357, 42749, 225, 88, 76, 73, 10605, 292 ]

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

[ 3498, 806, 1367, 650, 314, 1981, 286, 2403, 225, 88, 76, 73, 563, 314, 2004, 385, 551, 3223, 290, 458, 2705, 530, 314, 3461, 352, 88, 18, 1832, 1908, 290, 950, 22992, 650, 314, 385, 384, 806, 1367, 290, 314, 427, 786, 7028, 292, 1801, 2354, 346, 950, 18, 203, 45, 2897, 950, 1912, 650, 314, 385, 291, 225, 88, 76, 73, 5837, 6445, 383, 225, 69, 13090, 290, 857, 1001, 650, 314, 385, 291, 225, 88, 76, 73, 14157, 6445, 383, 1378, 1201, 2260, 352, 87, 13090, 18, 203, 521, 1358, 595, 314, 2897, 950, 385, 650, 314, 385, 3498, 806, 1367, 16, 290, 345, 352, 87, 650, 314, 1100, 524, 458, 3461, 352, 88, 551, 3223, 18, 203, 2943, 1908, 1230, 928, 1228, 664, 313, 352, 264, 449, 5071, 2425, 346, 950, 16, 339, 7123, 458, 352, 87, 449, 291, 398, 969, 2674, 18, 1558, 1509, 780, 385, 10962, 378, 8186, 4130, 42, 18, 1979, 314, 1100, 524, 225, 88, 76, 73, 563, 314, 2004, 385, 551, 3223, 3461, 352, 88, 16, 650, 314, 2745, 551, 1908, 581, 357, 16, 780, 2454, 5120, 352, 88, 1842, 286, 530, 581, 357, 18, 203, 3804, 554, 1816, 16, 383, 479, 16, 1801, 18, 314, 352, 315, 1411, 2194, 225, 69, 3921, 292, 551, 1229, 3223, 16, 1411, 1712, 874, 522, 724, 1565, 2674, 18, 1236, 1825, 352, 88, 1880, 530, 596, 458, 318, 18, 203, 520, 24417, 203, 46634, 203, 4425, 18, 1997, 18070, 13843, 203, 45, 427, 225, 69, 369, 9186, 16, 290, 2340, 786, 554, 4953, 18, 203, 45, 714, 1316, 286, 9491, 357, 431, 377, 13, 8442, 6502, 5749, 31, 384, 13, 8442, 225, 69, 2219, 225, 88, 3951, 19880, 292, 1240, 2824, 18, 996, 314, 424, 352, 88, 1335, 225, 88, 76, 73, 1816, 314, 352, 72, 664, 286, 787, 16, 314, 787, 15464, 7926, 2248, 290, 609, 2824, 286, 623, 551, 1570, 1808, 31, 685, 13, 39647, 1228, 664, 616, 8060, 314, 424, 352, 88, 1033, 292, 225, 88, 76, 73, 1816, 15062, 388, 616, 45, 8619, 670, 314, 385, 3902, 3291, 203, 45, 714, 3895, 15516, 7321, 314, 352, 81, 291, 225, 69, 1670, 3343, 18, 203, 45, 427, 2705, 554, 982, 291, 551, 969, 16, 225, 69, 13650, 292, 798, 806, 18, 1236, 385, 12033, 383, 724, 16, 857, 1736, 530, 797, 2754, 1708, 18, 203, 15051, 1001, 18, 203, 485, 852, 37, 1530, 45632, 5932, 28, 8950, 203, 52, 1339, 1067, 203, 6427, 18, 2882, 352, 88, 14140, 332, 3949, 2519, 4992, 12990, 203, 45, 427, 541, 940, 5875, 1516, 290, 3380, 2387, 527, 345, 314, 3970, 1887, 28410, 2340, 760, 1876, 18, 314, 352, 81, 7333, 3141, 16, 26551, 16, 290, 314, 352, 81, 225, 88, 76, 73, 5056, 225, 69, 1171, 292, 717, 499, 286, 326, 4027, 388, 723, 18, 203, 3018, 650, 314, 352, 81, 431, 3000, 314, 1230, 1156, 20407, 3976, 18, 1542, 2165, 2935, 357, 3093, 664, 314, 352, 315, 1427, 357, 479, 1511, 18, 738, 504, 3119, 286, 225, 88, 76, 73, 745, 11724, 14265, 18, 314, 352, 315, 3867, 286, 1842, 286, 1907, 581, 442, 290, 544, 748, 357, 706, 664, 314, 352, 81, 40359, 18, 203, 2943, 1908, 4361, 423, 5026, 1220, 806, 2376, 16, 290, 760, 2168, 314, 427, 9026, 5423, 952, 292, 442, 1516, 18, 203, 5753, 664, 798, 609, 4939, 49239, 16, 314, 352, 81, 891, 383, 3267, 4027, 517, 16957, 383, 1737, 357, 290, 786, 554, 2935, 4953, 345, 314, 3970, 3000, 286, 3400, 18, 203, 56, 480, 311, 324, 18143, 69, 42, 5593, 203, 52, 1339, 1067, 203, 6036, 18, 378, 10287, 409, 45238, 203, 45, 352, 315, 1825, 225, 69, 14957, 16, 1175, 825, 16, 1318, 16, 1318, 18, 601, 352, 87, 652, 797, 806, 915, 16, 290, 314, 4865, 352, 88, 2705, 2978, 16, 1315, 551, 44647, 18, 409, 1621, 352, 87, 11908, 527, 291, 225, 69, 8720, 2047, 16, 290, 314, 1146, 499, 286, 548, 18, 203, 2943, 3719, 2960, 424, 352, 88, 1545, 1656, 314, 352, 81, 541, 2675, 290, 43262, 479, 292, 225, 88, 76, 73, 595, 16, 874, 650, 1631, 371, 5799, 18, 996, 770, 544, 3583, 1102, 5856, 857, 314, 1033, 544, 703, 1411, 23008, 530, 18, 203, 24434, 2336, 263, 203, 52, 1339, 1067, 203, 5777, 18, 332, 10779, 6575, 277, 1979, 1558, 203, 2943, 50156, 40846, 325, 551, 31442, 16, 1736, 551, 8456, 290, 49724, 290, 31442, 291, 225, 88, 76, 73, 1627, 408, 1766, 291, 915, 286, 3630, 225, 69, 46229, 11449, 346, 225, 88, 76, 73, 3259, 458, 40846, 346, 16, 4810, 527, 5254, 225, 69, 3858, 292, 38985, 15001, 291, 4941, 346, 633, 16, 1427, 6089, 16, 290, 2632, 286, 6442, 18, 1218, 225, 88, 76, 73, 1806, 2087, 352, 88, 991, 660, 18, 4121, 458, 1427, 524, 16, 458, 4810, 527, 1191, 785, 965, 346, 225, 88, 76, 73, 3259, 458, 40846, 346, 290, 3579, 1112, 522, 2845, 1001, 1148, 17, 28, 806, 1708, 18, 203, 45, 502, 1246, 551, 50156, 1155, 16, 290, 359, 326, 225, 88, 76, 73, 3259, 458, 40846, 346, 35, 1832, 609, 616, 8796, 550, 31442, 35, 2352, 1336, 670, 345, 3463, 703, 339, 16, 517, 314, 1246, 633, 823, 940, 359, 761, 290, 3188, 286, 633, 359, 288, 321, 560, 18, 203, 790, 16643, 83, 203, 52, 1339, 1067, 203, 5932, 18, 409, 10023, 27324, 203, 2943, 10658, 504, 279, 49720, 1103, 345, 2654, 1060, 225, 88, 76, 73, 3573, 423, 554, 292, 551, 23999, 18, 1832, 10658, 785, 291, 225, 88, 76, 73, 927, 385, 1712, 326, 1597, 11785, 290, 874, 644, 554, 346, 554, 292, 522, 1463, 290, 1981, 286, 6442, 326, 225, 69, 1889, 952, 292, 357, 16, 517, 225, 88, 76, 73, 1103, 2747, 352, 88, 423, 225, 88, 76, 73, 2863, 14760, 18, 203, 14827, 517, 551, 21602, 4953, 581, 225, 88, 76, 73, 1103, 16, 517, 874, 819, 225, 69, 1162, 12150, 292, 24799, 780, 703, 1411, 2819, 522, 1752, 952, 780, 6583, 950, 1248, 940, 18, 203, 14827, 12010, 289, 1742, 17, 76, 1742, 581, 357, 952, 544, 688, 225, 88, 76, 73, 1103, 703, 9605, 323 ]

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

[ 16, 388, 3522, 1076, 203, 1109, 21103, 3740, 203, 1109, 4011, 385, 225, 88, 76, 73, 1128, 314, 1740, 965, 1076, 1236, 12551, 633, 6728, 16, 24725, 658, 551, 3081, 18, 1236, 3737, 664, 225, 69, 48855, 391, 303, 31, 633, 3326, 643, 1772, 346, 11458, 27284, 16, 1956, 44343, 16, 1995, 286, 744, 633, 764, 5151, 42509, 18, 616, 2943, 1565, 318, 12676, 16, 517, 313, 424, 1015, 530, 2781, 487, 1076, 203, 31603, 30, 27324, 1010, 418, 28, 30, 3703, 203, 4696, 442, 30, 203, 9158, 203, 7995, 203, 4256, 442, 30, 203, 4256, 13897, 1143, 203, 12241, 431, 294, 467, 25959, 203, 15919, 35151, 385, 3157, 291, 3024, 7175, 16, 3470, 517, 318, 225, 69, 3259, 292, 225, 88, 76, 73, 1004, 18, 1236, 3989, 225, 88, 76, 73, 1851, 2198, 3062, 7044, 819, 8743, 1204, 290, 6228, 225, 69, 15730, 352, 87, 3658, 291, 20416, 423, 3024, 7175, 2361, 1495, 18, 361, 36218, 1060, 423, 3039, 286, 3039, 3909, 633, 3326, 286, 225, 88, 76, 73, 4316, 1004, 5919, 633, 290, 43825, 633, 47597, 3668, 1752, 18, 4210, 12412, 633, 1246, 326, 2190, 42842, 1653, 325, 44861, 27782, 290, 225, 88, 76, 73, 19672, 1504, 346, 633, 5435, 286, 7666, 633, 884, 8565, 292, 12874, 16, 10586, 16, 290, 10812, 11169, 18, 1605, 780, 7922, 225, 88, 76, 73, 595, 286, 4046, 225, 2, 0, 33143, 373, 2409, 12412, 225, 69, 4449, 9253, 346, 629, 292, 225, 88, 76, 73, 9800, 12136, 290, 13919, 4797, 291, 225, 88, 76, 73, 1868, 18, 203, 10274, 954, 44171, 203, 33143, 373, 363, 533, 272, 203, 37, 1889, 581, 443, 203, 33143, 373, 2409, 318, 2750, 4595, 326, 35958, 203, 829, 1408, 286, 25855, 962, 9915, 6537, 396, 19515, 291, 225, 88, 76, 73, 12157, 277, 35814, 411, 6796, 2307, 3556, 873, 1670, 6537, 16, 18564, 290, 11031, 2453, 225, 88, 76, 73, 602, 16, 225, 88, 76, 73, 3586, 526, 411, 6796, 8642, 30434, 424, 339, 13569, 326, 1682, 388, 1275, 16450, 4266, 1477, 225, 69, 1302, 18, 2691, 1220, 631, 9554, 10619, 10857, 9853, 277, 225, 88, 76, 73, 3586, 526, 1560, 3077, 17458, 28854, 10506, 13327, 10857, 290, 2701, 33608, 20329, 6816, 10857, 16, 9915, 424, 915, 339, 2533, 290, 5171, 479, 602, 2806, 696, 4817, 225, 88, 76, 73, 3928, 18, 203, 4742, 588, 10857, 1227, 383, 1814, 321, 1040, 927, 16, 1558, 17, 29796, 10857, 371, 1227, 23265, 2021, 290, 25979, 28203, 1188, 321, 1535, 2405, 18, 203, 43953, 279, 1393, 383, 37880, 2409, 35, 203, 23129, 225, 69, 2072, 203, 8678, 15547, 203, 33143, 373, 2409, 203, 49797, 203, 49608, 203, 24078, 291, 19611, 16, 37880, 2409, 318, 225, 88, 76, 73, 1819, 1128, 286, 1508, 969, 291, 225, 69, 2176, 2592, 290, 4710, 6783, 18, 203, 8494, 4576, 35147, 18, 564, 283, 11870, 18, 2, 0, 30704, 290, 5971, 1569, 424, 894, 359, 1846, 359, 2485, 290, 1172, 1535, 359, 2775, 359, 2355, 396, 1586, 1619, 442, 7507, 827, 313, 1766, 859, 4150, 442, 595, 660, 318, 7916, 23265, 290, 874, 857, 225, 88, 76, 73, 2900, 16, 424, 339, 7513, 2578, 14690, 696, 4552, 357, 352, 87, 4065, 5, 203, 3804, 770, 371, 408, 543, 21893, 286, 1792, 7258, 517, 357, 352, 87, 568, 225, 69, 595, 650, 629, 292, 225, 88, 76, 73, 3650, 1185, 319, 18, 37, 18, 40, 18, 1099, 691, 408, 659, 2425, 2935, 286, 4874, 581, 5, 557, 1408, 286, 1191, 2573, 359, 940, 359, 1634, 396, 32874, 581, 225, 88, 76, 73, 3002, 292, 11021, 1036, 13, 290, 1792, 1796, 3400, 16, 1036, 371, 629, 609, 2230, 313, 424, 5657, 398, 11069, 1056, 5, 203, 33401, 27461, 203, 7347, 313, 502, 2425, 16, 744, 1336, 345, 398, 25752, 318, 18357, 18, 1838, 1071, 442, 1940, 35, 828, 659, 398, 21019, 1056, 286, 339, 1376, 5307, 291, 1374, 286, 2182, 968, 290, 14915, 12477, 423, 398, 1518, 18, 738, 318, 708, 398, 1657, 3464, 225, 88, 76, 73, 12477, 357, 1551, 286, 2575, 5307, 290, 905, 1230, 339, 1174, 292, 1763, 18, 5822, 77, 5320, 5946, 664, 2520, 1713, 388, 7076, 4007, 819, 7522, 16, 48473, 27461, 388, 2328, 12254, 424, 479, 339, 2778, 17340, 292, 4436, 25752, 16, 359, 424, 543, 10599, 13564, 664, 16005, 16, 961, 14022, 819, 5369, 290, 2110, 7788, 18, 203, 15108, 2576, 1102, 203, 4505, 1498, 14901, 27461, 1366, 21884, 35, 203, 25, 12098, 17773, 286, 15608, 14901, 27461, 5383, 203, 4459, 14901, 27461, 755, 3262, 25038, 203, 6645, 1186, 820, 203, 829, 279, 4147, 1004, 16, 408, 703, 339, 1792, 479, 292, 531, 12477, 423, 225, 88, 76, 73, 1518, 408, 3835, 517, 3248, 408, 659, 225, 69, 1308, 5657, 18, 1238, 371, 798, 11815, 408, 424, 949, 1154, 4065, 290, 5971, 1569, 286, 723, 524, 531, 11069, 1056, 18, 203, 39020, 389, 30, 4143, 408, 623, 13151, 389, 423, 225, 88, 76, 73, 2900, 16, 8801, 277, 1154, 4357, 318, 3437, 326, 629, 717, 18, 601, 318, 29308, 286, 894, 2158, 398, 8801, 291, 225, 88, 76, 73, 2377, 981, 4357, 8395, 290, 313, 1156, 38209, 18, 203, 39020, 331, 30, 332, 4014, 30483, 16, 442, 13151, 28975, 531, 11069, 2557, 291, 1579, 2230, 18, 3440, 292, 479, 16, 357, 17595, 225, 88, 76, 73, 2551, 292, 1845, 2660, 3695, 5988, 16, 573, 371, 531, 1657, 352, 87, 2401, 7128, 1584, 13323, 18, 1099, 279, 30483, 16, 357, 1119, 3058, 1209, 531, 2680, 3485, 396, 5834, 318, 225, 69, 13367, 286, 33709, 13, 290, 15781, 531, 5988, 1584, 1324, 35599, 18, 203, 62, 2005, 30, 738, 14576, 3158, 531, 11069, 1056, 225, 69, 5591, 15176, 431, 3765, 357, 10572, 706, 42364, 33709, 290, 504, 1902, 652, 4350, 286, 32974, 225, 88, 76, 73, 4980, 292, 225, 69, 4065, 18, 203, 41, 27057, 34231, 30, 17772, 286, 13151, 331, 290, 25100, 16, 442, 16727, 3058, 346, 225, 88, 76, 73, 2551, 292, 2660, 3695, 5988, 18, 4367, 3695, 5988, 371, 14734, 650, 398, 1657, 318, 8436, 286, 2618, 10331, 388, 225, 69, 7156, 290, 857, 3284, 519, 3727, 1584, 225, 88, 76, 73, 871, 10164, 203, 15108, 2576, 1102, 203, 1647, 1542, 10232 ]

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

[ 8917, 1663, 385, 359, 3063, 359, 458, 4938, 18, 731, 979, 1422, 530, 1403, 2949, 383, 962, 5940, 691, 314, 35974, 527, 32146, 5, 314, 352, 81, 449, 1336, 691, 357, 385, 952, 458, 1919, 352, 88, 813, 225, 88, 76, 73, 962, 286, 1033, 314, 385, 11069, 423, 1792, 225, 69, 280, 2482, 33858, 396, 18919, 544, 479, 3583, 408, 643, 1902, 24886, 819, 531, 595, 1511, 383, 48493, 954, 18334, 13, 388, 691, 458, 3583, 357, 1902, 979, 2883, 530, 527, 18, 16410, 16, 357, 385, 225, 69, 5954, 14761, 291, 225, 88, 76, 73, 14721, 1628, 18, 409, 6646, 1142, 5171, 1059, 5940, 383, 551, 11082, 18, 203, 1543, 2533, 291, 225, 88, 76, 73, 7196, 6263, 4499, 1569, 290, 225, 88, 76, 73, 6485, 4622, 10023, 18, 8549, 385, 543, 14976, 359, 225, 69, 2946, 696, 4499, 225, 88, 76, 73, 6263, 326, 961, 225, 88, 76, 73, 910, 962, 658, 225, 69, 1569, 16, 388, 4499, 225, 88, 76, 73, 631, 984, 10325, 2243, 35, 203, 3864, 30, 409, 11572, 4622, 10023, 385, 823, 14976, 952, 2165, 644, 3055, 443, 706, 18, 7015, 408, 644, 955, 225, 69, 891, 6585, 291, 2165, 1060, 443, 18, 17170, 385, 2838, 3063, 1248, 16, 952, 408, 643, 225, 88, 76, 73, 724, 286, 1419, 225, 88, 76, 73, 4803, 3556, 19895, 16, 517, 357, 3110, 225, 69, 1889, 2110, 1957, 359, 9476, 286, 225, 69, 6452, 1465, 955, 359, 225, 69, 4622, 10023, 691, 313, 643, 286, 9538, 225, 88, 76, 73, 1185, 18, 203, 2856, 225, 88, 76, 73, 6502, 3051, 43836, 8335, 658, 26461, 979, 313, 1156, 408, 644, 225, 88, 76, 73, 1185, 658, 225, 88, 76, 73, 27586, 291, 10596, 286, 4499, 16120, 35, 203, 3864, 30, 5938, 16, 4499, 658, 26461, 291, 23393, 3543, 3269, 443, 225, 88, 76, 73, 5330, 1191, 698, 5504, 1129, 18304, 18, 203, 1647, 4697, 371, 1191, 754, 398, 1763, 359, 313, 949, 225, 88, 76, 73, 724, 1177, 291, 291, 225, 69, 4622, 10023, 35, 203, 3864, 30, 409, 4697, 345, 499, 754, 551, 1763, 325, 551, 724, 2843, 527, 385, 1102, 1517, 352, 87, 499, 286, 548, 13468, 203, 988, 2745, 225, 88, 76, 73, 1737, 685, 2257, 286, 9640, 314, 306, 696, 596, 3158, 225, 69, 4127, 16040, 5069, 3918, 18, 1009, 357, 352, 87, 35067, 383, 225, 88, 76, 73, 991, 292, 23793, 352, 87, 1358, 3466, 18, 203, 521, 4329, 3583, 408, 643, 2561, 291, 531, 50103, 290, 9350, 1626, 7257, 16, 517, 650, 313, 7141, 524, 291, 225, 88, 76, 73, 1731, 315, 73, 6374, 1481, 15668, 357, 2267, 225, 69, 13711, 1060, 225, 88, 76, 73, 5214, 18, 8968, 357, 427, 225, 88, 76, 73, 1150, 2707, 325, 225, 88, 76, 73, 1865, 35, 203, 988, 643, 1025, 17, 22, 968, 383, 225, 88, 76, 73, 2182, 16, 670, 979, 8917, 1663, 1335, 286, 313, 383, 2333, 595, 35, 203, 521, 3189, 325, 225, 88, 76, 73, 927, 4544, 2365, 225, 69, 1162, 8162, 10021, 696, 1315, 4584, 1591, 366, 352, 8841, 325, 18, 707, 352, 264, 452, 806, 325, 915, 696, 313, 424, 1880, 443, 696, 979, 458, 2718, 357, 35, 203, 47545, 30, 314, 352, 315, 1427, 286, 339, 5069, 696, 314, 424, 352, 88, 2842, 225, 88, 76, 73, 2840, 1060, 798, 292, 398, 2257, 18, 557, 2066, 398, 2257, 427, 6807, 543, 720, 314, 3583, 5, 314, 1919, 352, 88, 11201, 225, 88, 76, 73, 16483, 5321, 16, 670, 225, 88, 76, 73, 2333, 595, 3954, 385, 388, 345, 1591, 366, 18192, 325, 12740, 314, 943, 352, 88, 1033, 314, 1801, 8218, 225, 88, 76, 73, 1305, 18, 738, 3570, 504, 5166, 530, 286, 502, 345, 18, 203, 1624, 225, 88, 76, 73, 1305, 1981, 325, 16755, 2183, 5300, 286, 4179, 290, 26461, 352, 87, 7434, 16, 359, 34045, 1548, 431, 38878, 8496, 296, 290, 1761, 12410, 3988, 8558, 272, 423, 9919, 18, 8928, 660, 225, 69, 2780, 1154, 225, 88, 76, 73, 1305, 650, 313, 2004, 616, 27355, 1978, 424, 352, 88, 623, 754, 531, 14448, 16, 408, 352, 264, 1191, 286, 1419, 442, 550, 696, 388, 502, 313, 1209, 1059, 4697, 1535, 225, 88, 76, 73, 8841, 325, 2593, 225, 88, 76, 73, 1172, 5088, 35, 203, 3864, 30, 1238, 371, 479, 10052, 292, 13689, 345, 499, 754, 398, 1357, 1154, 225, 88, 76, 73, 1305, 290, 543, 541, 346, 2239, 286, 499, 18, 1218, 650, 313, 352, 264, 325, 225, 88, 76, 73, 1962, 290, 34572, 527, 760, 28826, 292, 11706, 524, 292, 225, 88, 76, 73, 6783, 1102, 88, 76, 73, 1763, 1541, 3177, 8346, 5, 203, 22698, 660, 225, 69, 2925, 16, 650, 313, 1981, 658, 286, 3954, 291, 225, 88, 76, 73, 5058, 16, 345, 357, 385, 1191, 286, 339, 531, 1876, 35, 8968, 313, 2649, 5656, 286, 12714, 225, 88, 76, 73, 10181, 35, 203, 47545, 30, 314, 502, 2842, 9919, 225, 88, 76, 73, 1934, 290, 3347, 408, 352, 72, 36335, 357, 18, 5656, 93, 385, 1230, 225, 69, 1388, 5560, 2946, 541, 314, 3583, 458, 352, 72, 6134, 225, 88, 76, 73, 384, 2697, 18, 203, 1624, 225, 88, 76, 73, 770, 1934, 31198, 291, 16755, 724, 4622, 10023, 6912, 16, 708, 1071, 357, 1156, 5892, 313, 459, 7753, 339, 37014, 290, 12097, 431, 16755, 4329, 326, 398, 9216, 35, 203, 47545, 30, 314, 1919, 352, 88, 874, 5824, 345, 385, 225, 88, 76, 73, 770, 1934, 291, 225, 88, 76, 73, 1305, 290, 16755, 724, 4803, 3556, 13529, 10023, 1419, 35, 1838, 279, 13665, 286, 339, 641, 292, 357, 5, 203, 1647, 371, 313, 527, 286, 803, 1477, 35, 8892, 2912, 291, 225, 88, 76, 73, 1305, 35, 203, 3864, 30, 314, 427, 652, 2354, 291, 12859, 326, 225, 88, 76, 73, 1843, 1136, 806, 819, 4721, 16755, 18, 314, 5141, 225, 88, 76, 73, 4104, 13243, 19212, 291, 225, 88, 76, 73, 3442, 290, 314, 714, 568, 225, 88, 76, 73, 864, 2358, 3962, 326, 20215, 13243, 18, 1666, 352, 87, 13243, 7970, 32146, 5, 203, 47545, 30, 314, 352, 81, 279, 12252, 326, 225, 88, 76, 73, 9416, 18 ]

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

[ 18, 557, 225, 69, 34790, 286, 28958, 16, 458, 34609, 345, 616, 69, 891, 2101, 292, 225, 88, 76, 73, 7284, 550, 291, 225, 88, 76, 73, 2532, 1504, 385, 1142, 225, 69, 30908, 292, 5096, 17, 13417, 17118, 30, 616, 44, 267, 790, 1641, 264, 1065, 497, 1641, 24253, 334, 23119, 318, 915, 279, 13293, 15703, 326, 1870, 670, 1380, 427, 652, 1772, 8432, 1076, 4669, 522, 1948, 70, 3560, 596, 352, 72, 7038, 1159, 25379, 16, 34755, 2166, 593, 8021, 345, 2528, 644, 1772, 1308, 286, 34933, 2088, 225, 88, 76, 73, 25238, 18, 616, 1266, 703, 339, 2298, 286, 658, 386, 3117, 225, 88, 76, 73, 3658, 286, 573, 1840, 761, 11007, 25379, 1152, 386, 2660, 3146, 1076, 203, 50174, 6875, 16, 11139, 431, 34755, 2166, 593, 16, 644, 9911, 345, 616, 13417, 3146, 1381, 4133, 5810, 550, 326, 225, 88, 76, 73, 2579, 292, 225, 88, 76, 73, 2532, 1504, 16, 34755, 2166, 593, 3972, 28958, 345, 616, 88, 76, 73, 34795, 3151, 1284, 703, 1994, 286, 339, 29710, 2271, 17, 10048, 2444, 1076, 731, 3838, 30, 203, 521, 34795, 4436, 1597, 1620, 543, 18743, 12962, 1641, 16641, 291, 225, 88, 76, 73, 1139, 292, 225, 88, 76, 73, 16360, 9849, 292, 225, 88, 76, 73, 3283, 7423, 352, 87, 1641, 542, 427, 2123, 225, 88, 76, 73, 2532, 3960, 1284, 279, 49997, 10910, 346, 573, 286, 26818, 2660, 3146, 18, 738, 504, 652, 326, 798, 279, 15961, 29172, 20428, 1185, 18, 616, 4193, 442, 388, 225, 88, 76, 73, 5394, 459, 9423, 1076, 3264, 1838, 1848, 9804, 290, 4060, 48057, 643, 286, 225, 88, 76, 73, 591, 88, 76, 17, 4577, 6717, 6982, 16, 225, 88, 76, 73, 13859, 4932, 16, 5900, 6335, 16, 290, 3260, 7625, 3064, 459, 339, 286, 225, 88, 76, 73, 2563, 5260, 292, 34795, 272, 18, 1108, 371, 292, 1619, 823, 11450, 291, 442, 3622, 18, 203, 829, 442, 1150, 34790, 17508, 10949, 2422, 13261, 442, 8348, 18472, 34790, 291, 522, 1184, 409, 10083, 1548, 6065, 30, 409, 3677, 33566, 290, 1287, 601, 50068, 3146, 2562, 34755, 2166, 593, 41706, 3773, 15506, 225, 69, 616, 41284, 20921, 22152, 1641, 77, 82, 25828, 1596, 28963, 14462, 1641, 1586, 225, 88, 76, 73, 22187, 345, 660, 318, 225, 69, 3770, 291, 12508, 2778, 550, 1133, 225, 88, 76, 73, 797, 8712, 18, 34755, 2166, 593, 8021, 345, 458, 979, 449, 2466, 291, 225, 69, 12508, 3770, 291, 8126, 16, 517, 928, 458, 3285, 225, 88, 76, 73, 2669, 616, 261, 1227, 2537, 1076, 203, 48979, 1142, 979, 1922, 286, 5880, 1154, 225, 88, 76, 73, 1846, 6799, 87, 18, 1218, 431, 442, 1570, 16, 34755, 2166, 593, 644, 3716, 18, 5502, 286, 225, 88, 76, 73, 34755, 2166, 593, 292, 225, 88, 76, 73, 28958, 7099, 16, 3960, 17, 6553, 25379, 643, 449, 36730, 7218, 11933, 286, 623, 4208, 1641, 542, 643, 7911, 7882, 12709, 4399, 1621, 291, 5697, 326, 225, 88, 76, 73, 3097, 292, 3146, 352, 87, 5394, 18, 1009, 225, 88, 76, 73, 616, 367, 22266, 2271, 17, 10048, 2444, 550, 2532, 4436, 643, 40483, 1363, 2991, 16, 225, 88, 76, 73, 11976, 383, 225, 88, 76, 73, 15038, 292, 854, 321, 3310, 2660, 3146, 18, 557, 15687, 4958, 7218, 359, 3785, 225, 88, 76, 73, 2360, 1196, 292, 22524, 290, 4967, 1159, 4292, 16, 291, 14475, 286, 624, 359, 225, 69, 3593, 292, 21128, 16, 34755, 2166, 593, 3989, 225, 88, 76, 73, 941, 2322, 292, 2532, 7038, 1574, 18, 557, 541, 1870, 16, 458, 30646, 799, 522, 884, 5586, 8319, 291, 2484, 616, 521, 34795, 5595, 550, 291, 225, 88, 76, 73, 724, 1128, 18, 2060, 1071, 449, 1127, 225, 69, 3097, 1975, 326, 225, 69, 3593, 292, 26548, 18, 2060, 12503, 225, 69, 19874, 18, 203, 21486, 225, 88, 76, 73, 1412, 805, 290, 26723, 34755, 2166, 593, 8792, 291, 225, 88, 76, 73, 7423, 87, 16, 522, 4370, 41380, 14548, 3506, 23253, 1660, 18, 2060, 30188, 34755, 2166, 593, 291, 27174, 10638, 352, 87, 5068, 25237, 292, 2532, 23914, 290, 2532, 3366, 18, 3012, 1438, 292, 34755, 2166, 593, 352, 87, 3347, 5583, 754, 5042, 14013, 352, 87, 25269, 18, 616, 988, 2968, 3264, 4659, 225, 88, 76, 73, 1644, 1504, 290, 10523, 225, 88, 76, 73, 1644, 1201, 1535, 408, 1369, 225, 88, 76, 73, 3834, 16, 225, 88, 76, 73, 4654, 16, 225, 88, 76, 73, 12109, 16, 290, 225, 88, 76, 73, 6533, 345, 548, 3158, 1395, 3296, 14013, 2705, 225, 69, 1275, 292, 2532, 3042, 2828, 291, 20201, 291, 8169, 18, 731, 13941, 326, 225, 69, 3488, 8574, 325, 1220, 30208, 1641, 78, 8756, 16, 1201, 16, 290, 7284, 1641, 5856, 225, 88, 76, 73, 1868, 352, 87, 5791, 286, 1040, 292, 803, 5410, 3227, 9377, 30006, 274, 18, 3726, 284, 1313, 342, 49310, 1154, 14013, 352, 87, 797, 3245, 18, 1238, 352, 87, 823, 1308, 4840, 345, 357, 3459, 968, 7284, 1641, 387, 18121, 4840, 345, 357, 15888, 2584, 7492, 326, 2532, 1673, 16, 290, 23354, 225, 88, 76, 73, 1671, 292, 1201, 16569, 345, 14013, 290, 34755, 2166, 593, 1119, 31143, 282, 18, 557, 519, 4320, 286, 7181, 225, 88, 76, 73, 2532, 1201, 16, 14013, 290, 34755, 2166, 593, 1641, 387, 10638, 16, 1248, 1641, 6779, 1282, 286, 8992, 2151, 1670, 3064, 346, 5068, 42080, 292, 312, 38996, 35382, 396, 88, 76, 73, 616, 17705, 19, 387, 550, 14403, 16, 359, 10638, 504, 28553, 357, 873, 290, 544, 6951, 345, 7218, 643, 6824, 292, 2158, 291, 42080, 292, 2532, 3354, 290, 2660, 17118, 383, 1912, 18, 1218, 442, 42463, 225, 88, 76, 73, 3137, 292, 225, 88, 76, 73, 1868, 352, 87, 2084, 18, 203, 1109, 1266, 703, 339, 2298, 286, 658, 386, 3117, 225, 88, 76, 73, 3658, 286, 573, 1840, 761, 11007, 25379, 1152, 386, 2660, 3146, 1076, 1608, 8732, 10329, 34755, 2166, 593, 286, 6476, 28958, 16, 6799, 203, 1905, 4958, 7218, 16, 6789, 264, 4982, 318, 225, 88, 76, 73, 5939, 2919, 18, 13309, 80, 35608, 15795, 326, 4093, 10397, 806, 18, 409, 8536, 806, 345, 3938, 427, 14333, 282, 7222, 656, 263, 505, 16, 4103, 1190, 12473 ]

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

[ 88, 688, 691, 290, 19, 281, 650, 345, 459, 3910, 18, 1078, 915, 16, 408, 371, 2354, 346, 34986, 15476, 16, 225, 69, 2181, 292, 15476, 345, 318, 15147, 431, 864, 3265, 292, 14159, 290, 7067, 18, 601, 318, 225, 88, 76, 73, 2181, 292, 15476, 345, 4687, 650, 225, 69, 3719, 554, 3177, 5071, 290, 357, 318, 449, 1712, 2442, 544, 371, 3830, 388, 8207, 18, 203, 1833, 502, 408, 15363, 346, 34986, 15476, 35, 409, 7067, 292, 442, 2181, 292, 15476, 318, 823, 12621, 286, 1766, 346, 290, 531, 15903, 318, 286, 1934, 286, 3881, 357, 18, 2060, 836, 286, 502, 442, 318, 286, 499, 286, 36326, 18, 996, 225, 69, 3719, 554, 318, 5071, 16, 408, 424, 3881, 7067, 431, 18342, 225, 88, 76, 73, 982, 318, 8207, 16, 388, 874, 345, 225, 88, 76, 73, 982, 318, 3830, 18, 557, 531, 4311, 17, 916, 4418, 408, 424, 3881, 7067, 431, 18342, 345, 225, 88, 76, 73, 4337, 318, 449, 1229, 16, 449, 891, 16, 388, 345, 357, 1825, 352, 88, 2073, 286, 443, 18, 996, 408, 2466, 770, 442, 16, 408, 991, 527, 325, 225, 69, 17264, 4240, 291, 4941, 290, 225, 88, 76, 73, 2078, 877, 318, 449, 3220, 18, 707, 424, 499, 286, 225, 88, 76, 73, 609, 8017, 290, 2466, 345, 408, 371, 1411, 1191, 286, 6596, 16, 290, 531, 10316, 371, 7428, 18, 1867, 14159, 318, 21537, 16, 290, 691, 408, 424, 1033, 292, 2170, 286, 13138, 16, 531, 7067, 318, 21537, 359, 761, 18, 707, 857, 1620, 29221, 290, 531, 4613, 1489, 318, 383, 2972, 18, 17142, 836, 16, 1191, 286, 36326, 318, 449, 225, 69, 5097, 3874, 18, 1542, 339, 4246, 6316, 290, 949, 1028, 292, 531, 4613, 1489, 408, 659, 286, 942, 2230, 292, 2354, 291, 225, 88, 76, 73, 3960, 2625, 16, 827, 531, 7067, 318, 864, 18, 1456, 225, 88, 76, 73, 2780, 16, 225, 69, 1398, 292, 7067, 318, 877, 1608, 357, 6386, 443, 35721, 290, 2703, 18, 203, 1833, 286, 331, 1534, 35, 203, 4664, 2230, 291, 573, 408, 424, 15363, 346, 225, 88, 76, 73, 15476, 292, 4311, 17, 916, 1706, 30, 203, 31783, 7067, 1249, 761, 17, 4873, 4603, 955, 359, 10826, 388, 10955, 18, 4752, 23588, 3754, 664, 5179, 16, 22736, 16, 4067, 16, 41996, 2977, 388, 394, 858, 4878, 459, 568, 723, 18, 203, 11361, 2949, 286, 670, 5950, 531, 7067, 31487, 18, 738, 459, 1075, 443, 292, 2425, 408, 424, 502, 286, 3307, 225, 88, 76, 73, 31487, 16, 955, 359, 449, 1191, 286, 225, 88, 76, 73, 12362, 2803, 290, 13329, 25288, 1344, 18, 1456, 225, 88, 76, 73, 823, 2070, 431, 6317, 2949, 408, 459, 1973, 650, 225, 88, 76, 73, 31487, 459, 1011, 1677, 18, 203, 4331, 352, 88, 1033, 1248, 1856, 4208, 18, 409, 5160, 318, 408, 943, 352, 88, 688, 225, 88, 76, 73, 1924, 383, 442, 595, 18, 8461, 286, 1424, 357, 22362, 359, 357, 1071, 18, 2060, 1788, 383, 225, 69, 595, 18, 203, 12017, 4571, 670, 318, 1434, 531, 1945, 290, 1635, 325, 345, 18, 707, 424, 352, 88, 1945, 708, 442, 7156, 318, 1191, 286, 748, 524, 16, 517, 408, 427, 629, 1945, 658, 940, 292, 531, 2654, 1434, 531, 4354, 290, 658, 708, 408, 11497, 286, 479, 345, 318, 1191, 325, 18, 203, 44011, 345, 408, 371, 35985, 1608, 573, 1817, 408, 459, 427, 2618, 1477, 650, 408, 943, 352, 88, 1156, 11530, 286, 502, 2425, 16, 290, 877, 1477, 650, 408, 1033, 408, 371, 22738, 761, 18, 1867, 7859, 459, 2843, 443, 20023, 1596, 290, 408, 783, 1156, 15495, 290, 524, 292, 1945, 383, 1631, 18, 1783, 10041, 459, 2348, 291, 290, 524, 18, 557, 225, 69, 1406, 927, 16, 688, 225, 69, 1317, 927, 318, 2563, 18, 557, 225, 69, 877, 927, 16, 11522, 357, 3399, 16, 5892, 531, 6787, 371, 3765, 443, 14612, 326, 225, 88, 76, 73, 1358, 8293, 18, 203, 42721, 225, 88, 76, 73, 1477, 1608, 290, 502, 357, 225, 88, 76, 73, 1876, 981, 18, 707, 371, 543, 11530, 286, 623, 524, 292, 3081, 691, 408, 427, 279, 2251, 292, 670, 408, 371, 1191, 286, 502, 345, 927, 18, 203, 8276, 25063, 423, 225, 88, 76, 73, 6781, 292, 15476, 286, 3307, 961, 15495, 18, 3408, 1721, 3678, 524, 1228, 286, 6058, 383, 16, 2773, 225, 69, 1279, 16, 14536, 10077, 346, 1201, 16, 2810, 225, 69, 3329, 6114, 16, 987, 225, 69, 877, 1184, 16, 2029, 279, 47579, 277, 12253, 1167, 31, 4817, 2016, 326, 1040, 292, 443, 18, 203, 17831, 3668, 2163, 13156, 286, 2037, 4737, 1608, 359, 408, 502, 650, 408, 427, 225, 88, 76, 73, 1201, 12181, 5368, 658, 11971, 16, 748, 6640, 1344, 16, 1177, 1344, 23292, 326, 531, 1907, 388, 11217, 5323, 713, 44340, 39407, 18, 203, 7957, 927, 7062, 1220, 1228, 345, 1981, 761, 16, 345, 408, 371, 8134, 326, 18, 203, 24290, 803, 5374, 16, 408, 424, 1934, 286, 942, 3769, 291, 670, 408, 371, 1191, 754, 18, 707, 424, 6592, 325, 531, 3901, 290, 325, 670, 408, 821, 1191, 325, 291, 225, 88, 76, 73, 1004, 18, 707, 424, 1386, 2949, 286, 31529, 408, 821, 6638, 291, 5094, 1608, 2684, 291, 11365, 16, 18285, 290, 13335, 18, 707, 427, 225, 88, 76, 73, 595, 286, 1033, 581, 670, 408, 813, 531, 2654, 286, 339, 664, 16, 670, 531, 13335, 459, 339, 16, 290, 670, 408, 2278, 291, 531, 4100, 290, 1868, 18, 996, 408, 502, 345, 16, 3017, 459, 2073, 18, 707, 459, 16254, 423, 442, 16, 449, 286, 827, 408, 643, 981, 16, 517, 286, 7630, 345, 318, 29806, 16, 34945, 16, 290, 16, 10541, 16, 543, 20086, 290, 3542, 18, 707, 459, 339, 45073, 359, 3197, 16, 359, 4100, 290, 359, 16744, 18, 409, 47433, 326, 5673, 346, 15476, 290, 864, 3265, 292, 7067, 383, 225, 88, 76, 73, 2780, 318, 225, 88, 76, 73, 7091, 292, 225, 69, 1317, 1924, 18, 2861, 318, 531, 595, 286, 4200, 18, 1605, 442, 318, 658, 357, 459, 339, 595, 286, 548, 1511, 286, 942, 2230, 286, 744, 1059, 7343, 22420, 18, 203, 1641, 13285, 22317, 318, 225, 69 ]

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

[ 88, 76, 73, 12504, 16893, 3556, 18, 203, 203, 14777, 2269, 203, 829, 261, 2483, 522, 1968, 2269, 346, 225, 88, 76, 73, 5367, 1069, 26088, 291, 5452, 290, 1981, 325, 286, 748, 797, 6806, 326, 225, 88, 76, 73, 2595, 981, 3427, 286, 9778, 827, 458, 4862, 346, 393, 933, 43368, 8999, 73, 326, 225, 88, 76, 73, 4589, 1180, 6731, 1569, 18, 203, 203, 829, 4109, 16, 557, 261, 4862, 346, 41312, 5284, 827, 458, 1981, 325, 286, 748, 797, 6806, 326, 225, 88, 76, 73, 2595, 18, 1979, 5192, 225, 88, 76, 73, 3486, 1180, 6755, 1569, 346, 45956, 9325, 3614, 16036, 10217, 77, 16, 557, 261, 3989, 3388, 274, 4568, 11398, 291, 2382, 3384, 827, 458, 3413, 225, 88, 76, 73, 3384, 1180, 1537, 1569, 18, 203, 203, 2091, 377, 2698, 2987, 16, 557, 261, 4862, 346, 26997, 480, 36145, 326, 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 2987, 1180, 2288, 1569, 18, 203, 203, 829, 3008, 16, 557, 261, 4415, 286, 10612, 290, 4862, 346, 225, 88, 76, 73, 5367, 1069, 26088, 326, 3008, 1180, 1996, 1569, 16, 7171, 225, 88, 76, 73, 2595, 326, 225, 69, 1361, 26098, 18, 557, 2494, 2862, 16, 458, 1736, 5367, 1069, 819, 13570, 291, 2116, 1823, 290, 1981, 785, 286, 9778, 827, 458, 4862, 346, 378, 301, 5593, 47887, 4761, 255, 82, 992, 2526, 77, 326, 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 1569, 18, 203, 203, 10776, 225, 88, 76, 73, 2371, 292, 522, 3223, 291, 2355, 2862, 16, 557, 261, 4415, 286, 10612, 1912, 1001, 290, 4862, 346, 225, 88, 76, 73, 21792, 16595, 326, 225, 88, 76, 73, 2862, 1180, 2721, 1569, 18, 203, 203, 2091, 2429, 1946, 16, 2855, 16, 557, 261, 4862, 346, 225, 88, 76, 73, 5367, 1069, 26088, 326, 225, 88, 76, 73, 2855, 1180, 2566, 1569, 16, 7838, 286, 225, 88, 76, 73, 2595, 326, 225, 69, 2630, 26098, 18, 1790, 16, 458, 4642, 715, 6196, 1823, 291, 2855, 1180, 2566, 819, 279, 5516, 15178, 1220, 1823, 698, 225, 88, 76, 73, 1569, 4325, 950, 524, 292, 2797, 326, 1560, 2039, 18, 8035, 522, 4436, 5203, 16, 458, 307, 17, 44236, 346, 225, 88, 76, 73, 2595, 291, 2429, 2730, 326, 225, 88, 76, 73, 2730, 1180, 2173, 1569, 18, 203, 203, 829, 261, 307, 17, 44236, 346, 8389, 47, 292, 225, 88, 76, 73, 11057, 384, 348, 7053, 2217, 319, 315, 36959, 325, 2427, 685, 16, 1920, 18, 203, 203, 11705, 2269, 203, 2856, 2561, 326, 225, 88, 76, 73, 11057, 2763, 10345, 3201, 16, 557, 261, 959, 522, 5012, 962, 4796, 291, 4109, 290, 504, 1364, 959, 3080, 5132, 326, 10612, 18, 203, 203, 10220, 203, 829, 261, 526, 3223, 16, 28356, 6068, 16, 3904, 291, 2355, 2862, 819, 225, 69, 941, 5269, 346, 5026, 18, 1728, 3845, 16, 6860, 21283, 16, 318, 568, 225, 69, 1968, 6882, 2946, 31, 225, 88, 76, 73, 797, 2533, 6300, 1040, 609, 346, 225, 88, 76, 73, 5367, 1069, 26088, 291, 2855, 1180, 2566, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 56, 12844, 20732, 18, 1724, 5437, 203, 15243, 4934, 14952, 18, 1633, 5437, 203, 36559, 70, 10680, 18, 1633, 15666, 203, 28851, 1069, 58, 1365, 805, 18, 583, 5437, 203, 203, 19554, 4686, 203, 6004, 717, 203, 2282, 84, 5284, 6882, 1865, 203, 11121, 274, 4568, 361, 5011, 93, 5011, 79, 19718, 73, 15222, 3614, 16036, 10217, 77, 1865, 203, 42, 933, 43368, 8999, 73, 1673, 526, 6882, 1865, 203, 44, 301, 5593, 47887, 4761, 255, 82, 992, 2526, 77, 361, 18, 47, 18, 1865, 203, 47, 455, 9325, 3614, 16036, 10217, 77, 319, 18, 47, 18, 1865, 203, 51, 93, 480, 36145, 6882, 1865, 203, 5013, 423, 3574, 1553, 4628, 21622, 203, 30680, 717, 292, 12504, 12107, 203, 30680, 1673, 526, 6882, 1865, 203, 28851, 1069, 26088, 1865, 203, 26577, 16758, 16595, 1865, 203, 16669, 21557, 203, 17869, 423, 21792, 2307, 2, 0, 24382, 734, 567, 318, 225, 69, 12923, 292, 23602, 4406, 291, 225, 88, 76, 73, 1201, 4152, 90, 20373, 18, 203, 203, 33613, 1706, 30, 203, 24382, 734, 567, 647, 579, 1325, 38659, 203, 24382, 734, 567, 4008, 300, 1181, 203, 24382, 734, 567, 5035, 39687, 7550, 202, 203, 24382, 734, 567, 1163, 81, 675, 35934, 202, 203, 24382, 734, 567, 1101, 48099, 1181, 202, 203, 24382, 734, 567, 4740, 1330, 6380, 202, 203, 24382, 734, 567, 294, 295, 702, 3184, 7550, 203, 24382, 734, 567, 310, 529, 11475, 2018, 77, 203, 24382, 734, 567, 1513, 1181, 202, 203, 24382, 734, 567, 45428, 3271, 203, 24382, 734, 567, 1145, 284, 1458, 1181, 203, 24382, 734, 567, 44350, 736, 16651, 202, 203, 24382, 734, 567, 1086, 5572, 16253, 203, 24382, 734, 567, 1580, 349, 86, 1181, 202, 203, 24382, 734, 567, 3891, 472, 546, 45089, 202, 203, 24382, 734, 567, 289, 16665, 387, 9564, 202, 203, 24382, 734, 567, 668, 539, 6380, 203, 24382, 734, 567, 490, 14996, 18771, 628, 989, 38659, 202, 203, 24382, 734, 567, 8764, 35248, 18465, 202, 203, 24382, 734, 567, 25704, 293, 203, 24382, 734, 567, 4843, 457, 9606, 202, 203, 24382, 734, 567, 4843, 1289, 293, 202, 203, 24382, 734, 567, 283, 2236, 1181, 203, 24382, 734, 567, 23829, 6044, 679, 77, 202, 203, 24382, 734, 567, 13956, 10966, 202, 203, 24382, 734, 567, 6008, 1428, 203, 24382, 734, 567, 32216, 560, 4751, 293, 202, 203, 24382, 734, 567, 32216, 27939, 710, 202, 203, 24382, 734, 567, 20439, 45089, 202, 203, 24382, 734, 567, 7269, 870, 293, 202, 203, 24382, 734, 567, 225, 1039, 69, 202, 203, 24382, 734, 567, 12323, 327, 2192, 203, 203, 1987, 17951, 203, 15316, 90, 20373, 23575, 203, 35855, 5488, 2267, 431, 2345, 11047, 2, 0, 44, 576, 41028, 82, 306, 1773, 2562, 8423, 18, 20581, 7747, 318, 225, 69, 2027, 9126, 27449, 3258, 16, 23235, 290, 2010, 4943, 1250, 16, 5141, 291, 18010, 18, 601, 318, 225, 88, 76, 73, 1004, 526, 3173, 7203, 292, 541, 11460, 16, 9965, 326, 543, 720, 2333, 292, 345, 17080, 526, 7231, 3019, 18, 601, 568, 29309, 225, 69, 2692, 292, 609, 25178, 18353, 1315 ]

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

[ 1790, 16, 14766, 606, 16, 1509, 346, 7073, 6208, 11905, 395, 3403, 12299, 1776, 818, 262, 290, 25550, 87, 804, 606, 4138, 25350, 12299, 14076, 330, 16, 2421, 286, 2096, 225, 69, 34375, 42572, 1342, 22694, 18, 203, 203, 2091, 1188, 2636, 18672, 16, 22694, 290, 225, 88, 76, 73, 12741, 48505, 225, 69, 1502, 2945, 292, 685, 16, 1318, 717, 12814, 431, 14766, 606, 291, 225, 88, 76, 73, 361, 13584, 1323, 966, 6713, 3070, 7481, 16, 225, 69, 6921, 6582, 291, 17743, 18, 3624, 3351, 669, 14766, 606, 526, 6579, 16, 458, 3823, 345, 225, 88, 76, 73, 2763, 8302, 644, 10963, 290, 9911, 225, 88, 76, 73, 9221, 292, 225, 69, 631, 2151, 346, 17920, 37360, 632, 18, 5533, 3124, 286, 225, 69, 785, 1628, 16, 22694, 16, 346, 39726, 8096, 16, 18017, 290, 1427, 225, 88, 76, 73, 1118, 292, 14766, 606, 16, 1776, 818, 262, 16, 290, 14076, 330, 18, 22694, 526, 5508, 7157, 13663, 291, 33280, 225, 88, 76, 73, 1491, 25550, 87, 804, 606, 290, 4060, 11703, 16, 517, 14766, 606, 290, 522, 795, 38543, 2678, 25555, 519, 1118, 18, 23990, 225, 88, 76, 73, 7733, 16, 6202, 225, 88, 76, 73, 1627, 4060, 16, 3989, 5508, 346, 22694, 18, 409, 1358, 927, 16, 22694, 290, 522, 9855, 30292, 423, 225, 88, 76, 73, 6921, 6582, 286, 225, 88, 76, 73, 41392, 2446, 7738, 286, 41215, 225, 88, 76, 73, 41392, 2151, 16, 517, 4060, 33852, 624, 18, 11554, 6797, 18573, 4771, 1592, 290, 1560, 4060, 7106, 643, 5588, 291, 225, 88, 76, 73, 6449, 2496, 18, 203, 203, 37794, 2268, 16753, 286, 225, 88, 76, 73, 965, 292, 32104, 9034, 74, 31607, 1423, 80, 290, 431, 629, 5983, 49223, 13013, 18, 731, 385, 21927, 517, 7934, 650, 9859, 325, 1814, 2636, 18672, 326, 864, 47349, 18, 1728, 4972, 981, 225, 88, 76, 73, 1403, 4433, 526, 4368, 291, 17743, 2483, 291, 2827, 18010, 16, 290, 16866, 47413, 2154, 8958, 4467, 292, 225, 88, 76, 73, 18573, 4771, 18, 1507, 377, 2355, 16, 22694, 385, 19061, 286, 2176, 806, 11, 27133, 383, 13869, 4628, 22565, 18, 1238, 16, 458, 2524, 4710, 2898, 423, 225, 88, 76, 73, 15913, 16, 290, 385, 3842, 5434, 423, 11666, 290, 2497, 8662, 431, 2839, 41265, 18, 363, 454, 16643, 431, 225, 88, 76, 73, 41392, 9447, 4368, 16, 458, 385, 2740, 423, 13500, 325, 452, 2698, 18010, 16, 1584, 225, 88, 76, 73, 1627, 30521, 526, 32056, 18, 29125, 595, 325, 867, 387, 16, 22694, 3220, 715, 658, 554, 602, 291, 6442, 18, 203, 203, 4000, 383, 13869, 4628, 16, 22694, 39299, 745, 292, 225, 88, 76, 73, 724, 5887, 292, 35171, 82, 32044, 74, 396, 2943, 3012, 23614, 31, 5758, 9430, 7701, 290, 225, 69, 15622, 11068, 292, 3012, 23614, 1584, 39610, 16, 640, 11090, 413, 16, 290, 11427, 454, 525, 13, 383, 724, 286, 522, 41583, 17680, 16, 29289, 26139, 16, 290, 857, 286, 522, 16487, 16, 40509, 37105, 18, 409, 1184, 16, 4069, 286, 364, 2031, 4668, 2260, 11992, 6082, 34371, 407, 16, 385, 279, 33854, 290, 41729, 292, 522, 25190, 18, 409, 1184, 8154, 524, 22694, 526, 3407, 326, 18691, 3911, 4292, 698, 554, 1653, 325, 3593, 18, 15972, 225, 88, 76, 73, 1184, 16, 11457, 371, 1510, 532, 346, 689, 1323, 903, 6, 290, 4650, 359, 225, 88, 76, 73, 689, 36927, 824, 13670, 366, 6, 292, 4292, 18, 5502, 286, 22694, 526, 25190, 16, 225, 88, 76, 73, 770, 3125, 385, 519, 30561, 14110, 18, 2776, 22694, 979, 449, 7651, 3578, 708, 442, 385, 286, 339, 10839, 16, 522, 689, 77, 82, 341, 300, 2767, 432, 12351, 24615, 318, 33413, 2995, 3060, 286, 13477, 556, 366, 12498, 18, 203, 203, 12241, 291, 797, 12907, 291, 18255, 290, 18369, 16, 225, 3168, 3143, 28, 16, 1318, 9626, 1133, 18255, 290, 17704, 18, 2060, 2372, 9626, 643, 3168, 291, 17138, 16, 22694, 526, 724, 602, 291, 2347, 18, 203, 203, 35268, 981, 22694, 385, 8861, 326, 40049, 16, 225, 88, 76, 73, 41392, 2151, 11107, 286, 427, 950, 44419, 286, 12843, 18, 409, 17348, 5620, 44405, 13079, 225, 88, 76, 73, 3472, 325, 225, 88, 76, 73, 875, 747, 9603, 345, 522, 1310, 291, 225, 88, 76, 73, 3911, 5349, 959, 522, 17348, 20025, 19092, 18, 557, 3918, 16, 22694, 16364, 32643, 13478, 522, 17348, 20025, 325, 1148, 2355, 18255, 18, 203, 203, 1356, 13388, 225, 88, 76, 73, 18573, 4771, 1563, 203, 2598, 225, 88, 76, 73, 595, 292, 22694, 526, 3216, 423, 6442, 16, 7676, 291, 4681, 644, 1620, 1490, 4800, 983, 290, 225, 88, 76, 73, 5303, 644, 6095, 16, 17517, 22694, 526, 3379, 326, 3506, 49777, 18, 1099, 225, 69, 1873, 292, 225, 88, 76, 73, 6449, 19178, 3757, 363, 5559, 354, 16, 225, 88, 76, 73, 18573, 4771, 290, 709, 16878, 9465, 643, 15538, 291, 34367, 18, 557, 225, 69, 2945, 346, 225, 88, 76, 73, 8517, 5604, 292, 34367, 36413, 40345, 325, 832, 2494, 18255, 16, 22694, 6672, 286, 3622, 225, 88, 76, 73, 1627, 526, 7704, 290, 12119, 345, 458, 703, 3678, 3506, 1420, 770, 754, 225, 88, 76, 73, 17319, 1149, 18, 409, 2945, 23077, 225, 88, 76, 73, 836, 326, 225, 88, 76, 73, 4869, 325, 225, 88, 76, 73, 18573, 4771, 286, 339, 15265, 325, 1958, 2827, 18, 1790, 16, 819, 279, 28518, 6579, 458, 3269, 325, 3498, 2827, 16, 22694, 385, 39296, 423, 1502, 6373, 431, 225, 88, 76, 73, 41392, 7655, 16, 225, 69, 4869, 345, 6497, 291, 1128, 1535, 18020, 18, 1542, 5461, 522, 3506, 24081, 291, 16396, 292, 225, 88, 76, 73, 4869, 16, 22694, 6568, 36777, 3012, 37023, 16, 25350, 3012, 37023, 290, 7804, 2144, 73, 8908, 1067, 286, 22850, 290, 30484, 225, 88, 76, 73, 18573, 4771, 291, 7716, 4681, 18, 36777, 3012, 37023, 4833, 2584, 225, 69, 543, 4885, 3506, 1619, 16, 6282, 1694, 225, 88, 76, 73, 28177, 4131, 292, 225, 88, 76, 73, 2839, 526, 6831, 18, 203, 203, 521, 4146, 1297, 291, 225, 88, 76, 73, 1851, 2198, 21104, 325, 2357, 2485, 17003, 18, 409, 2707, 291, 4681, 385, 1203, 30, 8233, 643, 12069, 524, 292, 548 ]

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

[ 1957, 19844, 24929, 313, 424, 764, 383, 442, 2983, 573, 314, 3972, 14049, 779, 332, 11600, 3685, 22532, 203, 45, 3067, 2787, 345, 313, 2206, 524, 290, 3997, 8645, 4603, 981, 313, 1934, 286, 502, 1248, 940, 291, 225, 88, 76, 73, 1389, 292, 16123, 290, 22840, 18, 4536, 314, 3629, 6118, 225, 88, 76, 73, 5435, 286, 1582, 345, 724, 891, 3648, 18, 14049, 779, 318, 1142, 1189, 517, 874, 346, 2597, 5275, 660, 318, 225, 69, 2543, 286, 1386, 291, 3245, 292, 225, 69, 4323, 1788, 431, 1788, 2388, 1149, 18, 1238, 352, 87, 46061, 383, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 3603, 517, 357, 352, 87, 449, 45008, 18, 774, 46, 47, 203, 34325, 555, 40585, 324, 48439, 2209, 384, 16, 3008, 16, 1519, 30, 6788, 3288, 1970, 27, 203, 6385, 1001, 326, 225, 69, 10070, 3918, 18, 203, 1200, 318, 670, 314, 3867, 1870, 517, 819, 8434, 225, 88, 76, 73, 1319, 292, 16123, 314, 813, 286, 2688, 290, 10107, 1392, 477, 352, 551, 15494, 20269, 352, 88, 2688, 527, 8834, 345, 5832, 290, 9590, 979, 551, 4655, 262, 8181, 18, 225, 22501, 2, 0, 5959, 18, 88, 397, 203, 4665, 29, 5959, 18, 25738, 203, 1371, 279, 3363, 5272, 16, 357, 905, 339, 225, 88, 76, 73, 3363, 292, 225, 88, 76, 73, 4607, 3131, 3235, 10847, 225, 88, 76, 73, 3235, 1319, 6291, 423, 225, 88, 76, 73, 9052, 2601, 18, 409, 3552, 33983, 783, 449, 2200, 225, 88, 76, 73, 9052, 2601, 345, 10004, 286, 225, 88, 76, 73, 1150, 3552, 1319, 18, 1238, 882, 2, 0, 49788, 4195, 203, 1543, 2968, 1651, 442, 2111, 286, 1378, 1803, 952, 313, 502, 449, 427, 9443, 286, 4844, 357, 423, 442, 1803, 18, 203, 19436, 203, 26763, 203, 95, 23, 97, 10633, 25, 97, 203, 5089, 343, 1190, 10450, 292, 442, 2111, 31102, 1190, 9086, 292, 442, 2111, 203, 2428, 30, 203, 16499, 1143, 3348, 1143, 203, 5089, 343, 1190, 203, 3595, 1629, 8753, 371, 7112, 326, 442, 2111, 203, 3595, 1084, 80, 3270, 658, 3080, 9397, 16, 290, 41521, 6927, 7442, 290, 500, 43658, 427, 652, 1316, 286, 1290, 803, 2358, 7380, 325, 286, 225, 69, 2874, 2080, 292, 3812, 18, 1790, 16, 442, 318, 786, 2736, 225, 88, 76, 73, 1715, 1966, 286, 1474, 7433, 7491, 290, 1420, 6357, 8264, 18, 6466, 292, 1848, 25381, 346, 5751, 9092, 13820, 16, 479, 9421, 22637, 14542, 16, 13026, 16, 290, 864, 17, 445, 31958, 371, 961, 2387, 1249, 10603, 346, 279, 3923, 1319, 292, 14432, 31800, 16, 346, 1308, 388, 786, 2688, 291, 9092, 3554, 619, 4674, 18, 738, 4225, 18625, 225, 69, 12234, 4037, 326, 2597, 6109, 433, 325, 1924, 8017, 5259, 2557, 359, 225, 88, 76, 73, 1319, 292, 31800, 619, 26324, 4774, 286, 1405, 16, 290, 225, 88, 76, 73, 31800, 1620, 543, 21236, 31244, 18, 203, 521, 15512, 261, 4195, 1512, 383, 16738, 1495, 385, 15807, 291, 8503, 3868, 286, 2500, 225, 88, 76, 73, 49612, 399, 2597, 4037, 431, 4450, 631, 6927, 5882, 31958, 7442, 16, 500, 43658, 16, 33560, 2557, 16, 290, 2991, 31958, 345, 1118, 12444, 11569, 21791, 3755, 326, 1924, 7433, 346, 864, 9486, 290, 864, 2358, 18, 1867, 2717, 318, 286, 2359, 345, 1924, 2597, 307, 43145, 371, 1772, 325, 2597, 5866, 345, 6109, 2783, 7557, 286, 24472, 519, 3983, 1808, 3080, 9397, 292, 49200, 290, 21236, 31244, 8017, 5259, 7433, 18, 707, 568, 18439, 14287, 2707, 292, 442, 1734, 1315, 30, 15937, 225, 88, 76, 73, 15818, 292, 11569, 2597, 291, 25221, 11806, 4860, 5003, 16, 1848, 279, 1227, 3481, 1735, 2121, 286, 1405, 225, 88, 76, 73, 10290, 292, 7901, 291, 225, 88, 76, 73, 11569, 2597, 1389, 16, 290, 1249, 531, 1734, 6302, 359, 225, 88, 76, 73, 4177, 326, 1848, 6287, 33732, 292, 1924, 1950, 4728, 18, 2, 0, 21062, 787, 8977, 483, 1261, 35, 314, 715, 14493, 225, 88, 76, 73, 2597, 16, 517, 314, 424, 352, 88, 2471, 286, 4429, 524, 708, 286, 764, 326, 290, 942, 3794, 1102, 203, 40, 700, 749, 2429, 3275, 16, 2489, 16, 1136, 30, 6731, 321, 1970, 22, 203, 89, 18711, 1261, 318, 554, 292, 225, 88, 76, 73, 1317, 3064, 286, 787, 18, 1838, 371, 313, 1536, 326, 827, 225, 88, 76, 73, 32372, 318, 14493, 35, 203, 4845, 348, 1286, 380, 2429, 3275, 16, 2489, 16, 1136, 30, 6731, 321, 1970, 23, 203, 46278, 314, 1411, 1142, 882, 4429, 524, 708, 286, 787, 357, 2459, 517, 225, 69, 1279, 292, 6505, 1209, 7909, 530, 4520, 345, 458, 7251, 706, 292, 357, 18, 225, 69, 604, 13622, 16, 314, 4148, 286, 339, 28589, 8034, 650, 458, 2632, 530, 2477, 952, 1102, 761, 1102, 3037, 3447, 30, 3037, 1485, 1070, 30, 3264, 13874, 265, 943, 352, 88, 2920, 325, 522, 2477, 8581, 1102, 48593, 203, 40, 700, 749, 2429, 3275, 16, 2489, 16, 1136, 30, 6731, 321, 1970, 24, 203, 1647, 502, 313, 1940, 431, 1536, 326, 3794, 1102, 314, 787, 442, 1167, 479, 225, 88, 76, 73, 595, 18, 3725, 530, 290, 314, 459, 984, 313, 225, 88, 76, 73, 25360, 18, 203, 40, 700, 749, 2429, 3275, 16, 2489, 16, 1136, 30, 6731, 321, 1970, 25, 203, 1647, 502, 313, 1940, 431, 1536, 326, 3794, 1102, 314, 787, 442, 1167, 479, 225, 88, 76, 73, 595, 18, 203, 5818, 313, 291, 2247, 292, 225, 69, 1637, 388, 225, 69, 3552, 46766, 2894, 318, 225, 69, 1889, 292, 3794, 2130, 16, 378, 7211, 18, 1790, 691, 313, 352, 264, 1146, 1086, 5456, 3323, 282, 715, 3725, 530, 346, 225, 88, 76, 73, 2257, 290, 314, 352, 635, 339, 2675, 286, 984, 313, 225, 88, 76, 73, 25360, 18, 203, 15841, 318, 3025, 313, 459, 623, 650, 313, 1227, 225, 88, 76, 73, 3552, 290, 771, 286, 225, 88, 76, 73, 21852, 1241, 326, 18292, 18, 203, 1624, 313, 821, 2130, 16, 650, 313, 1227, 225, 88, 76, 73, 32372, 290, 894, 357, 527, 313, 424, 2395, 225, 88, 76, 73, 3053, 313, 703, 664, 286, 3450, 357, 286, 16, 290, 313, 371, 1316, 286, 4188, 573, 4656, 313, 1937, 18, 203, 14780, 330 ]

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

[ 658, 1136, 806, 292, 1185, 291, 1383, 15613, 954, 6560, 1950, 16, 314, 385, 652, 7367, 326, 1317, 2516, 423, 2365, 941, 954, 915, 225, 69, 1477, 313, 623, 1171, 292, 1616, 3379, 517, 449, 670, 313, 1536, 326, 664, 1317, 1376, 3354, 16, 1317, 1386, 954, 225, 88, 76, 73, 1317, 2269, 3379, 16, 313, 4973, 629, 388, 609, 1228, 517, 346, 225, 88, 76, 73, 723, 292, 18675, 4676, 45, 314, 385, 1316, 286, 623, 670, 314, 3855, 954, 1902, 357, 526, 543, 720, 670, 314, 3855, 314, 1381, 4084, 286, 18675, 4676, 45, 326, 961, 541, 5097, 286, 623, 225, 88, 76, 73, 910, 1616, 670, 314, 3855, 18, 203, 6385, 286, 10403, 18, 2160, 3192, 428, 10233, 3166, 596, 644, 1353, 1171, 292, 4320, 1054, 423, 9467, 346, 530, 658, 724, 1015, 326, 3570, 16, 23507, 3570, 346, 15376, 4723, 954, 857, 2243, 2614, 225, 88, 76, 73, 1182, 16, 313, 427, 652, 225, 69, 6640, 292, 1118, 1133, 225, 88, 76, 73, 1250, 596, 318, 8698, 954, 225, 88, 76, 73, 6944, 596, 318, 1536, 326, 225, 69, 1616, 2516, 18, 203, 45, 1381, 1335, 225, 88, 76, 73, 3758, 1185, 504, 652, 5447, 346, 18675, 4676, 45, 16, 5101, 1294, 299, 8066, 560, 1780, 550, 203, 15046, 19037, 498, 3828, 16, 21350, 511, 39049, 203, 1109, 2943, 1185, 346, 31785, 1069, 13793, 69, 290, 633, 962, 383, 18675, 4676, 45, 1154, 551, 13707, 326, 21350, 347, 39049, 16, 4409, 504, 3758, 652, 2910, 18, 314, 703, 664, 5843, 225, 88, 76, 73, 1185, 383, 1046, 7767, 292, 551, 13707, 1149, 18, 2, 0, 829, 3024, 12269, 16, 660, 318, 3496, 9132, 658, 225, 88, 76, 73, 8642, 10493, 366, 11, 3693, 526, 1095, 286, 1127, 225, 69, 8970, 22945, 279, 16546, 8320, 23508, 292, 2171, 18, 26776, 526, 2212, 42928, 4593, 18, 203, 21449, 5725, 26776, 2, 0, 20934, 318, 225, 88, 76, 73, 797, 17, 8393, 46759, 326, 8850, 18, 14406, 568, 339, 1013, 359, 616, 37, 286, 1343, 550, 4522, 16, 388, 225, 69, 2211, 3249, 616, 20934, 3291, 2, 0, 47, 1286, 10532, 16, 596, 504, 14634, 225, 88, 76, 73, 11688, 8480, 16097, 16, 459, 1877, 225, 88, 76, 73, 2089, 30450, 4406, 345, 1405, 660, 290, 708, 458, 12265, 803, 3345, 827, 1162, 609, 32784, 2022, 322, 1131, 427, 652, 18, 731, 318, 325, 225, 69, 962, 383, 7662, 87, 1571, 35411, 8150, 396, 15907, 3803, 13, 4246, 326, 3082, 225, 88, 76, 73, 4104, 45657, 525, 4531, 291, 225, 88, 76, 73, 1004, 18, 203, 5270, 556, 1286, 10532, 30, 203, 7736, 1255, 30450, 4406, 326, 658, 1872, 806, 16, 10532, 423, 3620, 13795, 16, 504, 31864, 282, 225, 88, 76, 73, 8480, 292, 5963, 16, 11313, 290, 12843, 16, 827, 458, 5476, 631, 3860, 290, 14232, 3860, 345, 643, 6951, 286, 786, 2736, 2431, 18, 7710, 7792, 291, 2340, 479, 225, 88, 76, 73, 3690, 3317, 16, 10532, 504, 568, 652, 225, 69, 3796, 286, 803, 1403, 8480, 326, 664, 17, 14708, 32784, 2022, 322, 1131, 596, 371, 3357, 291, 4243, 45056, 2308, 291, 519, 2401, 13764, 18, 203, 49886, 504, 652, 12956, 346, 797, 4406, 3249, 819, 950, 16, 18955, 397, 86, 9316, 616, 47, 1286, 41106, 550, 290, 18955, 397, 86, 9316, 616, 58, 5573, 1076, 5794, 371, 41330, 423, 556, 14529, 13404, 16, 596, 15130, 2126, 286, 5242, 877, 50232, 754, 522, 932, 291, 225, 88, 76, 73, 11102, 4321, 18, 5383, 16, 522, 884, 1240, 30450, 18969, 3667, 770, 3982, 17, 3089, 2847, 8656, 44433, 282, 423, 479, 13162, 292, 225, 88, 76, 73, 1004, 345, 458, 16871, 2789, 775, 290, 11166, 18, 203, 56, 6968, 2, 0, 521, 35082, 598, 8797, 19070, 318, 2404, 325, 279, 35630, 7410, 18, 26, 7802, 3512, 292, 225, 88, 76, 73, 2217, 3445, 17, 3482, 42579, 4692, 754, 225, 88, 76, 73, 2699, 3522, 15692, 31231, 7649, 423, 31549, 24401, 286, 35082, 598, 8797, 18, 1238, 371, 786, 3254, 8268, 18, 1238, 318, 786, 4902, 18, 3747, 225, 88, 76, 73, 3647, 1695, 16, 225, 69, 1946, 7802, 3054, 423, 225, 88, 76, 73, 14262, 2364, 325, 225, 69, 4794, 17, 72, 1326, 2441, 16, 318, 2838, 6323, 431, 1063, 2229, 4728, 18, 43191, 1369, 326, 479, 519, 1551, 18, 738, 2513, 1817, 8227, 398, 1518, 346, 313, 290, 2158, 2030, 12422, 1257, 423, 13632, 18, 203, 10776, 371, 3635, 314, 4126, 346, 551, 4543, 18, 314, 1919, 985, 949, 1248, 798, 16, 541, 314, 2765, 225, 69, 8417, 2498, 431, 551, 19555, 49533, 16, 596, 314, 1033, 1142, 979, 225, 69, 877, 1616, 15891, 670, 225, 88, 76, 73, 4692, 385, 1142, 664, 18, 1108, 2164, 291, 786, 1935, 1374, 18, 203, 45, 2755, 1244, 225, 69, 2497, 19361, 17, 645, 1891, 17020, 291, 225, 88, 76, 73, 1358, 1302, 18, 203, 2943, 3635, 30, 203, 49, 712, 1136, 16, 225, 88, 76, 73, 724, 595, 314, 6204, 326, 1257, 203, 3111, 2509, 2521, 5736, 785, 225, 88, 76, 73, 7797, 291, 225, 88, 76, 73, 3529, 1500, 16, 2130, 573, 225, 88, 76, 73, 46642, 314, 1837, 1257, 423, 18, 203, 18565, 1703, 36741, 1060, 225, 88, 76, 73, 3300, 1695, 18, 203, 39, 15342, 3703, 2521, 383, 7802, 3275, 18, 20941, 291, 21797, 431, 225, 69, 18286, 1250, 16, 357, 504, 652, 11138, 290, 3218, 286, 551, 571, 24228, 3326, 2629, 286, 2969, 18, 203, 521, 2521, 318, 326, 4600, 4638, 225, 88, 76, 73, 770, 563, 17, 6939, 909, 408, 821, 345, 2747, 985, 225, 69, 36626, 6640, 16, 11358, 17, 273, 16, 524, 3409, 388, 4692, 19993, 18, 203, 521, 6640, 658, 225, 88, 76, 73, 2521, 3737, 715, 225, 69, 1308, 24925, 18, 396, 3804, 641, 292, 225, 88, 76, 73, 1619, 3155, 203, 6050, 13623, 2897, 530, 2158, 4322, 292, 442, 3527, 290, 3884, 286, 3991, 554, 346, 530, 291, 357, 18, 409, 1358, 1220, 4322, 643, 2498, 423, 442, 1150, 3053, 18, 203, 2628, 1966, 286, 225, 88, 76, 73, 5754, 4716, 408, 644, 291, 17810, 16, 225, 69, 6640, 345, 385, 1036, 385, 16222, 1576, 18, 1783, 25360, 6096, 624, 18 ]

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

[ 557, 1920, 16, 10148, 50060, 2154, 279, 430, 2847, 16076, 292, 225, 88, 76, 73, 1644, 4339, 326, 6424, 290, 35571, 7436, 18, 203, 203, 9035, 969, 290, 2528, 225, 203, 18377, 50060, 20658, 633, 13364, 4206, 383, 225, 88, 76, 73, 9318, 4339, 292, 5852, 291, 7601, 18, 1236, 13896, 2126, 291, 5769, 5813, 290, 7640, 291, 6485, 346, 633, 47896, 292, 4860, 18, 9931, 633, 13364, 3658, 16, 10148, 50060, 20658, 633, 5432, 526, 290, 633, 10294, 291, 5769, 5813, 383, 22765, 1495, 18, 1236, 7051, 811, 225, 88, 76, 73, 29270, 292, 5358, 556, 18, 1890, 457, 352, 76, 34314, 16, 827, 780, 2389, 290, 7548, 4738, 49954, 450, 6495, 326, 2778, 787, 291, 4002, 4359, 5866, 18, 1236, 2406, 325, 3082, 31205, 76, 768, 1300, 17, 11125, 1632, 6631, 41496, 20101, 3089, 396, 45355, 13, 44225, 345, 424, 48064, 9853, 15928, 16, 279, 11069, 29280, 345, 13847, 33709, 326, 11069, 1056, 19318, 290, 12938, 18, 1979, 9592, 633, 5432, 526, 291, 4988, 16, 10148, 50060, 2314, 18357, 225, 88, 76, 73, 946, 292, 4002, 4359, 49954, 2367, 346, 19059, 43, 12917, 9230, 541, 345, 544, 882, 339, 10815, 286, 4973, 519, 12917, 6940, 1912, 2593, 225, 88, 76, 73, 3035, 286, 32081, 346, 225, 88, 76, 73, 991, 380, 450, 290, 3216, 11500, 698, 225, 88, 76, 73, 3035, 18, 1236, 385, 1316, 286, 946, 49954, 2367, 345, 10665, 736, 405, 19059, 43, 290, 2734, 624, 383, 21815, 3265, 2608, 286, 3695, 16, 290, 857, 5617, 1587, 405, 624, 1912, 544, 7553, 383, 21815, 3265, 2130, 1148, 18, 24, 18, 10148, 50060, 3500, 633, 10294, 291, 4589, 18, 203, 203, 10776, 633, 10294, 2003, 16, 10148, 50060, 2483, 633, 41315, 17562, 383, 225, 88, 76, 73, 9318, 4339, 292, 5852, 16, 1376, 811, 225, 88, 76, 73, 29270, 292, 5358, 411, 7308, 18, 1236, 2406, 291, 225, 88, 76, 73, 3625, 292, 22105, 7436, 26681, 49954, 21853, 4002, 4359, 4049, 286, 2611, 1700, 43153, 28885, 396, 16813, 31530, 13, 286, 1048, 10011, 12423, 8841, 4151, 18, 1236, 2387, 225, 88, 76, 73, 49954, 2367, 1653, 325, 633, 3529, 548, 1249, 21815, 17, 29521, 49954, 2367, 346, 225, 88, 76, 73, 19059, 43, 12200, 286, 3349, 11069, 655, 2822, 1574, 16, 517, 346, 225, 88, 76, 73, 2657, 2955, 286, 2611, 1005, 31530, 286, 225, 88, 76, 73, 991, 380, 450, 292, 225, 88, 76, 73, 3035, 18, 10148, 50060, 568, 3682, 286, 795, 17, 14659, 225, 88, 76, 73, 12239, 11504, 292, 225, 88, 76, 73, 12705, 886, 292, 316, 24275, 7436, 13975, 2009, 18, 10148, 50060, 3500, 633, 41315, 2003, 291, 4109, 18, 203, 203, 10449, 290, 1734, 225, 203, 18377, 50060, 385, 6568, 286, 225, 88, 76, 73, 6752, 383, 12733, 1495, 291, 4109, 16, 4242, 279, 10529, 7458, 292, 14016, 42770, 291, 225, 88, 76, 73, 12733, 1925, 292, 7436, 21367, 9448, 18, 1099, 225, 88, 76, 73, 9784, 30264, 292, 225, 88, 76, 73, 10148, 50060, 5914, 16, 10148, 50060, 526, 1734, 1167, 4632, 325, 4450, 4738, 22179, 1738, 87, 326, 4002, 4359, 2557, 754, 7960, 13992, 292, 3035, 1750, 290, 8464, 708, 803, 13992, 371, 619, 896, 2121, 431, 5443, 12110, 18, 557, 3008, 16, 10148, 50060, 385, 6568, 286, 40476, 291, 225, 88, 76, 73, 3625, 292, 18580, 383, 12733, 6424, 1925, 359, 761, 359, 7964, 7682, 291, 225, 88, 76, 73, 3625, 292, 603, 13718, 20295, 383, 6938, 6978, 526, 6984, 18, 1456, 442, 595, 780, 5476, 225, 69, 30256, 32233, 345, 3716, 225, 88, 76, 73, 1619, 292, 633, 1734, 1167, 18, 1979, 4396, 345, 4958, 1644, 1778, 427, 225, 88, 76, 73, 4021, 8641, 5026, 21544, 3270, 16, 780, 2483, 8398, 325, 3542, 573, 4017, 14959, 1380, 914, 325, 225, 88, 76, 73, 41457, 1944, 8641, 5026, 5988, 292, 4958, 1644, 1778, 10913, 609, 12980, 3074, 346, 225, 88, 76, 73, 2717, 292, 4002, 946, 15179, 345, 7541, 291, 225, 88, 76, 73, 1924, 18, 203, 203, 829, 2862, 16, 10148, 50060, 2154, 279, 14414, 7458, 292, 45835, 7436, 383, 225, 88, 76, 73, 2086, 1495, 292, 1063, 2229, 1027, 1146, 5736, 633, 10529, 4534, 9892, 383, 12733, 6424, 1925, 18, 1236, 2406, 291, 225, 88, 76, 73, 16705, 1925, 292, 7436, 827, 633, 3061, 3838, 286, 1635, 325, 225, 88, 76, 73, 10206, 17717, 10268, 326, 15208, 5546, 8641, 5026, 359, 761, 359, 4738, 20133, 286, 39794, 8641, 5026, 41457, 13233, 18, 203, 203, 829, 2489, 16, 10148, 50060, 2154, 225, 69, 7458, 383, 42292, 1495, 291, 225, 88, 76, 73, 3049, 292, 7436, 3625, 292, 22105, 7436, 18, 2325, 3061, 4774, 286, 1635, 325, 4450, 4738, 2998, 36882, 26960, 4002, 4359, 5866, 16, 346, 279, 10614, 325, 7254, 326, 2898, 292, 15208, 5546, 8641, 5026, 18, 203, 203, 829, 1408, 286, 633, 6752, 2067, 290, 2450, 359, 225, 88, 76, 73, 9784, 30264, 292, 225, 88, 76, 73, 10148, 50060, 5914, 383, 42292, 16, 10148, 50060, 318, 568, 225, 69, 2260, 292, 225, 88, 76, 73, 1644, 22105, 4668, 16, 1644, 4339, 292, 22105, 19276, 16, 45835, 7436, 4668, 16, 18697, 4666, 4668, 16, 290, 318, 279, 14414, 13304, 326, 225, 88, 76, 73, 1294, 41221, 292, 45835, 7436, 423, 225, 88, 76, 73, 45835, 7436, 4668, 18, 203, 203, 14715, 1186, 5546, 8641, 5026, 4002, 1750, 225, 203, 18377, 50060, 526, 3061, 8130, 325, 2449, 2614, 4738, 14924, 10268, 326, 15208, 5546, 8641, 5026, 290, 9508, 2998, 36882, 26960, 4002, 4359, 2557, 326, 2898, 18, 20899, 5546, 8641, 5026, 318, 225, 88, 76, 73, 745, 2078, 5026, 13914, 4958, 1644, 1778, 290, 357, 568, 4819, 225, 88, 76, 73, 745, 2298, 286, 1735, 290, 1770, 1966, 286, 225, 88, 76, 73, 3900, 22179, 620, 366, 18, 557, 2730, 16, 10148, 50060, 290, 633, 3061, 1100, 345, 13234, 3375, 17, 21, 7705, 225, 69, 19993, 326, 15208, 5546, 8641, 5026, 359, 761, 359, 225, 69, 2778, 17717, 3161, 326, 5681, 18, 4631, 548, 385, 3179, 291, 225, 88, 76, 73, 39471, 292, 225, 88, 76, 73, 2090, 5029, 292, 9448, 291, 2730, 18, 203, 203, 10776, 442, 4396, 16, 10148, 50060, 290, 633, 962, 9039, 286, 4773, 279, 6095 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 73, 1914, 527, 385, 18, 3273, 543, 4818, 1027, 551, 44647, 15186, 291, 225, 88, 76, 73, 6218, 1171, 18, 6814, 417, 963, 1185, 16, 18026, 19, 2005, 298, 4814, 300, 2246, 16, 290, 786, 20551, 277, 10957, 18, 203, 15329, 5886, 1958, 16, 1910, 203, 25, 203, 988, 499, 286, 345, 1935, 23984, 325, 5277, 44, 952, 292, 531, 1310, 14083, 10902, 44589, 10245, 27959, 18, 731, 318, 541, 7279, 39981, 16, 5097, 290, 11690, 18, 996, 1334, 318, 3660, 16, 458, 1071, 1995, 291, 522, 1420, 286, 744, 357, 1054, 18, 707, 3277, 522, 8026, 290, 1156, 12981, 359, 225, 69, 2605, 18, 5101, 10902, 44589, 16, 326, 1230, 2158, 1028, 292, 443, 5, 203, 45955, 411, 15776, 4724, 31290, 13152, 1872, 16, 1910, 203, 25, 203, 45, 5287, 225, 69, 936, 383, 9125, 45837, 290, 544, 427, 652, 891, 5, 1025, 2039, 819, 551, 3340, 544, 3269, 530, 225, 69, 16691, 7874, 2145, 1745, 1570, 1891, 18, 1832, 936, 385, 291, 891, 4482, 290, 544, 874, 16222, 225, 88, 76, 73, 936, 5, 314, 3067, 2787, 624, 5, 203, 5444, 12100, 378, 12351, 2336, 13152, 2116, 16, 1910, 203, 21, 203, 45, 943, 352, 88, 2787, 225, 88, 76, 73, 1310, 4932, 16, 225, 88, 76, 73, 1310, 8886, 1411, 2377, 330, 527, 325, 551, 936, 8857, 16, 2994, 949, 543, 345, 554, 1285, 290, 1146, 4818, 18, 1832, 936, 385, 383, 225, 88, 76, 73, 12289, 326, 2340, 225, 69, 1285, 16, 715, 286, 1100, 225, 88, 76, 73, 2163, 18, 314, 1875, 551, 936, 785, 326, 225, 69, 786, 525, 325, 225, 88, 76, 73, 1022, 81, 33487, 290, 819, 544, 928, 385, 4659, 16, 1146, 744, 225, 88, 76, 73, 1150, 7743, 18, 314, 1825, 352, 88, 2787, 442, 12289, 326, 1310, 18, 203, 2997, 46074, 2407, 2439, 13152, 1148, 16, 1910, 203, 21, 203, 4139, 318, 551, 2163, 30, 314, 5287, 225, 69, 2211, 631, 8771, 23504, 8646, 423, 9125, 45837, 8771, 291, 4808, 34650, 18, 24014, 819, 314, 5287, 357, 16, 314, 6674, 660, 318, 225, 69, 394, 2999, 16, 388, 22463, 1986, 291, 225, 88, 76, 73, 10509, 291, 225, 88, 76, 73, 11708, 526, 1752, 396, 441, 318, 6911, 650, 225, 88, 76, 73, 4881, 318, 325, 384, 859, 314, 714, 3119, 286, 2466, 442, 318, 279, 1709, 2163, 286, 3473, 18, 1605, 314, 1837, 357, 286, 225, 69, 8771, 12289, 396, 2063, 9125, 45837, 359, 660, 371, 7049, 1689, 551, 3053, 13, 314, 385, 2705, 225, 88, 76, 73, 1986, 2459, 882, 449, 339, 3606, 16, 388, 691, 357, 882, 339, 3606, 16, 225, 88, 76, 73, 1986, 318, 689, 21861, 2656, 15299, 35, 3728, 16, 225, 88, 76, 73, 836, 286, 5021, 225, 88, 76, 73, 7034, 7080, 291, 225, 88, 76, 73, 2290, 318, 823, 400, 391, 6209, 30, 225, 69, 9980, 33535, 1054, 698, 225, 88, 76, 73, 10959, 388, 5415, 28746, 18, 314, 5120, 985, 339, 7542, 691, 357, 715, 28004, 749, 706, 25527, 18, 314, 568, 714, 449, 698, 8325, 7034, 7080, 11920, 345, 1335, 689, 27055, 8325, 2656, 1838, 35, 203, 18846, 13152, 1025, 16, 1910, 203, 25, 203, 5753, 5287, 531, 1361, 631, 5111, 423, 803, 6989, 18, 707, 2463, 1230, 2524, 891, 1028, 290, 16336, 18, 8525, 16, 531, 8912, 2000, 385, 3895, 5097, 7247, 346, 8722, 6477, 15744, 16, 4446, 443, 7348, 18, 1728, 1185, 3682, 443, 2395, 225, 88, 76, 73, 910, 3897, 290, 2530, 326, 531, 2321, 1551, 16, 290, 225, 88, 76, 73, 936, 385, 1819, 16, 30123, 290, 2629, 326, 531, 2441, 3240, 18, 8525, 959, 1336, 408, 882, 787, 225, 88, 76, 73, 798, 631, 2134, 290, 9195, 346, 5612, 18, 332, 891, 2605, 1185, 5, 203, 4331, 4808, 2473, 353, 373, 10148, 4600, 16, 1910, 203, 25, 203, 24318, 8198, 3757, 8642, 16, 5069, 290, 823, 5097, 18, 3677, 2605, 1310, 18, 314, 459, 339, 14475, 18, 203, 15698, 5110, 10148, 1519, 16, 1910, 203, 21, 203, 16054, 8771, 4808, 34650, 314, 1015, 2152, 286, 12289, 290, 11081, 3986, 551, 1015, 286, 4556, 4932, 290, 3045, 18, 266, 23341, 2320, 3126, 270, 266, 471, 16036, 623, 551, 1015, 18, 3440, 314, 1468, 581, 1381, 700, 23001, 310, 7772, 6759, 1319, 30, 30073, 24, 4219, 7988, 952, 314, 2897, 291, 398, 1622, 1913, 3045, 18, 22952, 282, 2320, 3126, 270, 266, 471, 16036, 1075, 530, 581, 442, 936, 1913, 1108, 1392, 264, 291, 3896, 1913, 1366, 458, 1182, 530, 1378, 554, 1381, 700, 23001, 310, 12671, 554, 2836, 458, 3433, 2840, 431, 2368, 1910, 8771, 31923, 23001, 17, 41, 12671, 8920, 11863, 30, 1175, 6036, 16, 24, 4665, 9125, 45837, 9115, 30, 1175, 5777, 16, 28, 6188, 24697, 30, 685, 15054, 56, 47, 21, 32867, 22, 49, 6486, 4665, 40756, 9371, 10922, 30, 30073, 4665, 40756, 48584, 30, 4790, 4367, 3582, 17043, 3710, 17, 7291, 267, 17078, 30, 3260, 1507, 39526, 21391, 505, 30, 384, 314, 1468, 950, 581, 2543, 290, 1297, 16328, 2836, 952, 314, 943, 352, 88, 813, 286, 5264, 551, 595, 286, 499, 823, 1856, 1576, 423, 551, 1577, 290, 225, 88, 76, 73, 2543, 318, 658, 720, 408, 1842, 1708, 1913, 731, 928, 225, 88, 76, 73, 2543, 345, 984, 291, 2368, 1913, 396, 3591, 18977, 13, 1913, 1979, 314, 744, 3196, 2836, 458, 1015, 530, 384, 17, 23, 1631, 1913, 731, 2705, 530, 2836, 314, 1381, 286, 984, 527, 383, 12289, 1913, 1728, 4651, 4042, 286, 821, 443, 18, 731, 1411, 4718, 581, 1297, 16328, 22846, 8, 1913, 1366, 458, 5455, 5994, 377, 18, 564, 3242, 18, 1605, 408, 5459, 2836, 408, 2897, 225, 88, 76, 73, 936, 25592, 318, 12905, 4638, 314, 1468, 950, 442, 936, 318, 12747, 388, 290, 717, 1735, 3054, 2836, 458, 928, 442, 936, 318, 14862, 3054, 286, 1036, 18, 396, 14991, 24942, 952, 314, 2897, 823, 12409, 2593, 664, 12747, 936, 708, 314, 688, 952, 314, 2403, 798, 12289, 290, 1735, 3054, 832, 17, 25, 11341, 1850, 7747, 290, 24260, 984, 22846, 8, 326, 1297, 16328, 18, 707, 1468, 950, 581, 442, 458, 928, 408, 424, 1842, 18, 731, 459, 723, 29291, 291, 551, 1763, 458, 4434 ]

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

[ 352, 87, 9405, 325, 225, 88, 76, 73, 1297, 345, 22969, 225, 88, 76, 73, 3223, 19, 17166, 7680, 18, 738, 16, 318, 225, 69, 12851, 1408, 18, 2, 0, 48, 21352, 225, 88, 76, 73, 910, 11079, 3559, 1689, 28193, 20576, 23325, 25626, 286, 398, 965, 318, 786, 5926, 449, 225, 88, 76, 73, 745, 5800, 836, 286, 4785, 325, 225, 69, 11079, 1167, 18, 1238, 371, 225, 69, 1319, 292, 1263, 2917, 4769, 286, 4167, 981, 313, 4785, 827, 286, 8064, 291, 4120, 18, 1218, 981, 408, 32263, 698, 345, 20531, 16, 1424, 352, 87, 724, 2072, 670, 225, 88, 76, 73, 2450, 292, 225, 69, 6581, 12359, 318, 291, 531, 1489, 1056, 16, 1511, 346, 225, 88, 76, 73, 11079, 3658, 5804, 345, 371, 1349, 18, 203, 41617, 24040, 13349, 42486, 203, 41617, 15089, 371, 225, 88, 76, 73, 4218, 15234, 291, 225, 88, 76, 73, 3009, 1028, 4359, 1056, 18, 29272, 87, 2651, 291, 798, 1046, 3009, 6259, 16, 955, 359, 28193, 20576, 23325, 11154, 16, 1201, 4847, 16, 31525, 17454, 16, 11079, 4354, 290, 1465, 76, 73, 1883, 10373, 292, 225, 69, 6581, 12359, 459, 339, 11680, 325, 519, 1616, 388, 1389, 292, 5108, 1509, 346, 827, 544, 13618, 92, 22290, 203, 27661, 1028, 203, 27661, 411, 10000, 87, 16, 39861, 50, 87, 290, 12359, 48863, 203, 829, 12366, 3533, 290, 519, 3366, 203, 44840, 1489, 5187, 290, 11352, 203, 42162, 272, 346, 225, 69, 543, 5015, 3658, 783, 427, 288, 1382, 16, 34030, 12287, 16, 290, 23883, 290, 1770, 7003, 19887, 388, 7474, 18, 203, 42162, 277, 48536, 13672, 203, 1926, 371, 3080, 6919, 1349, 286, 1620, 225, 69, 6581, 12359, 18, 1009, 286, 1620, 279, 29272, 16, 225, 69, 2863, 1381, 3818, 279, 225, 69, 575, 286, 225, 69, 7205, 388, 9168, 2067, 16, 388, 339, 543, 6057, 291, 225, 88, 76, 73, 1616, 1297, 18, 203, 16049, 352, 87, 18, 409, 5432, 292, 4860, 291, 18885, 396, 5102, 50, 13, 318, 6969, 225, 69, 797, 602, 1167, 819, 39197, 225, 88, 76, 73, 19213, 50, 18, 409, 8920, 50, 1167, 2221, 33162, 2003, 16, 326, 1953, 286, 1620, 225, 69, 12359, 18362, 388, 14398, 325, 6236, 16, 2255, 388, 3958, 18, 203, 5663, 225, 69, 13633, 2863, 504, 6228, 554, 292, 225, 88, 76, 73, 2304, 6919, 16, 780, 388, 458, 1381, 1290, 225, 88, 76, 73, 2090, 3721, 11767, 43465, 34934, 326, 24349, 38540, 396, 10875, 36530, 17, 33764, 13, 541, 359, 286, 1620, 8939, 18, 21505, 609, 3572, 326, 17502, 1626, 423, 1627, 286, 1627, 16, 541, 943, 352, 88, 4926, 286, 1976, 225, 88, 76, 73, 8850, 2928, 292, 11079, 326, 654, 1627, 3572, 18, 203, 42723, 50, 290, 411, 10000, 6953, 203, 1926, 371, 7463, 797, 22513, 2491, 841, 7489, 587, 3884, 345, 1369, 2003, 286, 1620, 2459, 279, 411, 10000, 388, 279, 39861, 50, 18, 409, 554, 345, 783, 339, 3846, 291, 225, 88, 76, 73, 28536, 595, 5832, 16, 6969, 581, 377, 602, 16, 318, 225, 88, 76, 73, 9767, 388, 22188, 1619, 18, 409, 384, 348, 2724, 318, 286, 1327, 343, 352, 87, 16877, 291, 11079, 18, 1911, 2669, 225, 88, 76, 73, 1671, 292, 36674, 313, 3678, 16, 357, 905, 339, 8850, 6339, 290, 17254, 431, 225, 88, 76, 73, 2090, 3556, 326, 18885, 3215, 790, 1614, 5357, 396, 27189, 50, 2710, 13, 388, 629, 609, 2763, 841, 790, 1614, 3084, 18, 409, 27978, 50, 2710, 38572, 345, 225, 88, 76, 73, 4674, 9764, 23285, 23026, 1463, 286, 1620, 32055, 38540, 16, 290, 345, 745, 2457, 1509, 346, 2442, 286, 3818, 398, 4120, 325, 5671, 1689, 28193, 20576, 23325, 388, 325, 225, 88, 76, 73, 3298, 16, 313, 424, 787, 225, 88, 76, 73, 1737, 7451, 286, 894, 44770, 968, 398, 2530, 18, 1099, 313, 14639, 371, 3293, 16, 660, 371, 4129, 11079, 3621, 290, 12049, 2453, 8850, 290, 225, 88, 76, 73, 1851, 2198, 18, 1366, 357, 318, 3437, 286, 3881, 225, 88, 76, 73, 1319, 292, 3621, 286, 4188, 423, 541, 345, 313, 459, 427, 225, 69, 46453, 1241, 18, 1099, 408, 4977, 7544, 16, 225, 88, 76, 73, 3053, 292, 225, 88, 76, 73, 1204, 290, 225, 88, 76, 73, 1432, 292, 16450, 371, 745, 2648, 1191, 286, 339, 225, 88, 76, 73, 724, 797, 1228, 345, 313, 459, 764, 383, 18, 1218, 359, 408, 568, 14329, 16, 544, 905, 449, 339, 398, 7002, 45130, 18, 1366, 981, 1482, 398, 2243, 4555, 16, 787, 225, 88, 76, 73, 1737, 2257, 286, 10447, 708, 398, 2206, 27935, 286, 225, 88, 76, 73, 1962, 18, 203, 4849, 20068, 18, 601, 352, 87, 225, 69, 877, 2251, 286, 744, 1336, 345, 225, 88, 76, 73, 3658, 388, 9767, 1167, 359, 761, 359, 225, 88, 76, 73, 1204, 318, 17254, 431, 225, 69, 528, 18, 55, 18, 3625, 292, 4582, 16374, 841, 790, 1614, 3084, 18, 20957, 423, 3765, 744, 1336, 345, 313, 3681, 225, 69, 7772, 2528, 16, 357, 783, 723, 291, 13593, 2772, 4902, 388, 2863, 7388, 16, 573, 371, 5980, 449, 2758, 291, 28193, 20576, 23325, 326, 1928, 17, 12801, 11818, 3621, 18, 203, 29341, 11875, 33419, 18, 41648, 43458, 326, 6581, 15089, 914, 423, 1627, 286, 1627, 18, 557, 479, 3984, 16, 225, 69, 7076, 3954, 318, 2505, 325, 42768, 3984, 1937, 225, 69, 1845, 1319, 292, 7205, 2021, 339, 4604, 16, 359, 761, 359, 225, 88, 76, 73, 7076, 292, 2917, 6211, 18, 601, 352, 87, 3437, 345, 225, 88, 76, 73, 1204, 313, 371, 14663, 291, 702, 16, 517, 345, 357, 568, 504, 225, 88, 76, 73, 2774, 292, 4507, 286, 2235, 1463, 3681, 7492, 18, 203, 829, 6075, 807, 14977, 18, 409, 910, 836, 286, 3681, 1185, 359, 225, 69, 6581, 12359, 318, 286, 548, 291, 225, 69, 7205, 2948, 18, 31965, 479, 11079, 3658, 3064, 1937, 225, 69, 1883, 1319, 292, 7205, 2021, 339, 3500, 18, 3791, 3984, 427, 5711, 7205, 3597, 3572, 326, 17502, 359, 761, 18, 6629, 524, 691, 225, 88, 76, 73, 3621, 427, 225, 69, 1376, 2168, 346, 28193, 20576, 23325, 11154, 16, 17454, 388, 22242, 290, 723, 346, 225, 88, 76, 73, 17461, 292, 1463, 291 ]

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

[ 286, 427, 745, 292, 624, 16050, 698, 398, 1693, 290, 932, 2609, 286, 427, 654, 2374, 292, 1482, 2025, 353, 1795, 548, 18, 203, 1624, 314, 821, 357, 16, 1036, 371, 225, 88, 76, 73, 9374, 286, 2505, 286, 744, 2025, 353, 1795, 548, 326, 932, 396, 694, 16, 1928, 17, 49792, 13, 6954, 1693, 30, 203, 1543, 659, 286, 427, 225, 69, 2171, 290, 3919, 6368, 2609, 18, 738, 1817, 313, 787, 2025, 353, 1795, 359, 225, 88, 76, 73, 7590, 991, 292, 225, 88, 76, 73, 33705, 290, 787, 225, 88, 76, 73, 1846, 4393, 350, 359, 398, 3019, 962, 16, 21755, 1694, 357, 286, 8387, 286, 4619, 623, 225, 88, 76, 73, 932, 286, 2207, 291, 15315, 326, 2134, 664, 2848, 16, 9168, 1945, 18, 8146, 1071, 442, 823, 761, 16, 359, 1071, 16702, 615, 18, 9054, 1155, 345, 803, 797, 932, 1353, 225, 69, 1171, 292, 1621, 698, 519, 8552, 3019, 3201, 1870, 3222, 8552, 3019, 1228, 696, 1240, 290, 5427, 5041, 371, 41077, 31851, 423, 670, 314, 1545, 18, 203, 1543, 659, 225, 88, 76, 73, 2955, 286, 2611, 3734, 13966, 292, 4674, 932, 4821, 18, 996, 313, 424, 7261, 225, 69, 2163, 345, 2087, 352, 88, 1937, 654, 4267, 286, 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 932, 696, 35952, 16, 786, 659, 286, 1496, 654, 2605, 16, 9965, 16, 10648, 16, 2551, 388, 609, 1415, 696, 857, 442, 424, 548, 225, 69, 1770, 18, 738, 318, 1656, 2991, 664, 361, 886, 2119, 85, 388, 2732, 36725, 326, 3197, 345, 371, 1013, 7021, 291, 225, 69, 9178, 6063, 548, 359, 225, 69, 2025, 353, 1795, 1693, 691, 313, 427, 225, 88, 76, 73, 609, 13620, 18, 1790, 16, 961, 279, 1747, 9358, 491, 1013, 1932, 345, 2747, 352, 88, 9828, 698, 225, 88, 76, 73, 4674, 932, 4821, 1822, 346, 709, 884, 7393, 1060, 4436, 6705, 290, 864, 46206, 18, 16173, 17880, 4176, 1937, 225, 69, 8249, 4267, 291, 225, 88, 76, 73, 4674, 932, 4821, 396, 931, 3477, 313, 2972, 4242, 225, 69, 2443, 290, 821, 864, 46206, 873, 573, 318, 2298, 286, 623, 691, 313, 352, 264, 8721, 3002, 286, 225, 88, 76, 73, 1682, 1342, 15609, 225, 88, 76, 73, 932, 18, 203, 19882, 4179, 787, 2609, 345, 23400, 2798, 35029, 25429, 1596, 286, 3955, 18, 45974, 1795, 318, 225, 69, 2715, 3874, 16, 541, 313, 813, 286, 744, 1336, 4817, 398, 1693, 1071, 16, 313, 427, 225, 69, 10181, 13840, 345, 616, 3443, 4687, 550, 359, 2798, 787, 225, 88, 76, 73, 1693, 6969, 18, 39026, 427, 442, 36335, 696, 313, 787, 357, 16, 313, 1209, 1249, 357, 16, 290, 554, 927, 544, 1335, 616, 6687, 659, 286, 1386, 915, 550, 696, 357, 318, 225, 69, 31268, 787, 13840, 18, 9676, 225, 88, 76, 73, 22293, 427, 225, 69, 1046, 13840, 4632, 1060, 25984, 16, 573, 3020, 318, 9828, 286, 225, 88, 76, 73, 10741, 313, 623, 423, 225, 88, 76, 73, 1693, 696, 519, 3494, 5667, 770, 15117, 1912, 225, 69, 927, 6468, 313, 1386, 16, 383, 573, 1570, 357, 459, 15117, 291, 1229, 595, 696, 573, 1817, 650, 313, 1028, 581, 225, 88, 76, 73, 592, 16, 313, 352, 635, 1386, 326, 357, 18, 6629, 398, 5380, 16, 517, 744, 1336, 345, 2798, 596, 1902, 787, 225, 88, 76, 73, 592, 459, 339, 25450, 286, 1386, 18, 203, 36658, 318, 543, 1263, 720, 6705, 18, 738, 770, 2016, 326, 629, 932, 4632, 2076, 396, 5816, 20998, 21548, 290, 1195, 295, 18821, 561, 797, 6027, 292, 8545, 7005, 760, 669, 325, 442, 2609, 873, 290, 1817, 313, 352, 264, 1482, 1621, 291, 279, 17310, 836, 16, 2459, 754, 5982, 388, 43048, 6705, 18, 7602, 323, 8806, 357, 1248, 16, 517, 770, 286, 3054, 519, 11061, 2543, 286, 8912, 31613, 2930, 650, 544, 1850, 3583, 544, 703, 2459, 623, 7808, 388, 5891, 225, 69, 1388, 2806, 396, 516, 3196, 3461, 352, 88, 1653, 325, 6705, 859, 2776, 10032, 12680, 2076, 427, 225, 88, 76, 73, 7281, 292, 449, 13295, 6705, 286, 9320, 1660, 16, 544, 659, 286, 339, 1316, 286, 984, 708, 544, 352, 264, 1191, 286, 821, 1388, 6705, 1708, 286, 20167, 225, 88, 76, 73, 3983, 2972, 16, 290, 14048, 442, 3874, 286, 744, 2252, 12684, 286, 7648, 318, 2838, 16969, 20826, 18, 409, 1957, 318, 286, 744, 1336, 313, 352, 264, 1336, 1586, 398, 6705, 2609, 31, 225, 88, 76, 73, 1319, 292, 3069, 314, 352, 315, 2194, 827, 6989, 1335, 616, 387, 408, 352, 635, 427, 479, 442, 1415, 290, 345, 504, 286, 339, 5716, 286, 2170, 550, 318, 581, 359, 940, 292, 225, 69, 3874, 359, 225, 88, 76, 73, 4837, 42171, 38691, 2367, 18, 203, 1926, 352, 87, 225, 69, 1171, 292, 2949, 290, 10241, 1060, 2025, 353, 1795, 1660, 16, 874, 359, 225, 88, 76, 73, 27033, 292, 2025, 353, 1795, 427, 9058, 3230, 1576, 423, 357, 18, 2882, 352, 88, 339, 1378, 9281, 388, 10821, 596, 715, 4042, 286, 339, 2220, 696, 691, 313, 352, 264, 5254, 286, 3251, 16, 3307, 2025, 353, 1795, 6468, 313, 352, 264, 345, 1240, 8933, 292, 1646, 827, 357, 1902, 2016, 18, 203, 3113, 291, 4138, 999, 377, 10313, 203, 36816, 1385, 286, 339, 225, 88, 76, 73, 43936, 25436, 203, 3113, 325, 2494, 1260, 16, 2862, 431, 21942, 203, 22, 203, 1989, 314, 385, 2116, 16, 314, 3989, 225, 88, 76, 73, 10456, 3062, 7044, 291, 3610, 16, 1712, 359, 225, 88, 76, 73, 3062, 15681, 1138, 18, 409, 724, 1876, 314, 1981, 1509, 16, 314, 2897, 624, 29750, 1060, 290, 6185, 6133, 290, 1597, 519, 23620, 25940, 18, 1099, 359, 17416, 16, 314, 2004, 357, 385, 225, 88, 76, 73, 13070, 386, 909, 1801, 18, 203, 45, 38423, 449, 286, 499, 785, 18, 203, 27779, 16, 650, 314, 3461, 352, 88, 1536, 16, 551, 2974, 3955, 225, 88, 76, 73, 1175, 3456, 4230, 6677, 5388, 16, 290, 286, 1422, 313, 225, 69, 2925, 292, 708, 5735, 14723, 643, 383, 965, 16, 314, 3583, 345, 21196, 1175, 3456, 385, 225, 69, 9393, 29984, 18, 1366, 16, 314, 1981, 785, 286, 3062, 15681, 1138, 290, 819, 1482 ]

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

[ 2736, 18, 314, 943, 352, 88, 1033, 345, 654, 554, 292, 443, 644, 5984, 325, 32873, 225, 69, 936, 658, 345, 927, 1395, 361, 2481, 2931, 928, 18, 616, 988, 688, 660, 385, 629, 609, 723, 660, 16, 1792, 443, 827, 408, 2318, 286, 339, 1076, 203, 2856, 657, 1255, 1227, 225, 69, 3210, 16, 7830, 89, 366, 10684, 26835, 22133, 423, 633, 936, 5457, 290, 6674, 633, 3326, 643, 1146, 1086, 30944, 18, 1108, 2483, 7076, 633, 527, 225, 88, 76, 73, 9951, 286, 3097, 18, 203, 1109, 11168, 82, 352, 88, 1142, 1033, 581, 2425, 6337, 2586, 286, 623, 633, 524, 1395, 45486, 3833, 316, 2583, 856, 317, 29014, 2705, 225, 88, 76, 73, 3888, 18, 616, 5663, 314, 1427, 4059, 765, 292, 633, 16, 314, 882, 1880, 345, 780, 1146, 644, 629, 969, 1076, 203, 50, 4827, 30, 3223, 292, 22133, 12722, 272, 24841, 1723, 357, 352, 87, 225, 69, 20553, 522, 4035, 11181, 7785, 345, 5588, 633, 2974, 16, 522, 44647, 4549, 47, 12620, 25, 6977, 203, 1641, 25920, 20754, 10075, 47, 12620, 67, 47741, 61, 77, 13, 2209, 1814, 16, 2616, 203, 2091, 4061, 16, 22133, 352, 87, 1201, 6267, 633, 2144, 20100, 6179, 2111, 286, 1335, 345, 225, 88, 76, 73, 22051, 504, 652, 2740, 423, 225, 88, 76, 73, 4959, 290, 318, 785, 965, 346, 1201, 18, 409, 2111, 2765, 225, 88, 76, 73, 1737, 3798, 30, 203, 1109, 988, 371, 15495, 431, 225, 88, 76, 73, 1246, 290, 16135, 345, 504, 652, 4350, 423, 479, 658, 225, 88, 76, 73, 1004, 18, 707, 371, 715, 915, 3352, 286, 5390, 9192, 326, 21351, 290, 345, 459, 339, 225, 69, 941, 290, 2298, 3603, 326, 2165, 596, 3583, 633, 18, 5282, 313, 326, 479, 292, 398, 1671, 290, 27311, 2824, 18, 601, 318, 10479, 543, 720, 313, 882, 1801, 688, 1076, 2, 0, 521, 17752, 48217, 912, 1571, 748, 318, 5984, 286, 1582, 225, 69, 6008, 1133, 225, 88, 76, 73, 797, 5159, 27909, 291, 1374, 286, 2182, 1324, 423, 519, 21395, 18, 203, 1200, 748, 459, 548, 910, 1584, 225, 69, 563, 17, 273, 17, 1010, 7128, 16, 952, 357, 318, 1709, 286, 4973, 225, 88, 76, 73, 21395, 650, 225, 88, 76, 73, 19262, 992, 3254, 290, 857, 2182, 1324, 1191, 527, 3676, 18, 2, 0, 8197, 3695, 3946, 2196, 7218, 318, 3923, 383, 279, 32364, 3270, 290, 5283, 624, 698, 225, 88, 76, 73, 864, 17, 20453, 6298, 326, 2328, 7509, 290, 23103, 18, 12570, 16, 13708, 431, 225, 88, 76, 73, 1644, 8840, 3693, 396, 37, 9060, 13, 9458, 345, 543, 720, 26821, 2372, 7218, 5975, 427, 864, 3695, 3946, 18, 738, 318, 4093, 2333, 292, 479, 5679, 7218, 18, 203, 521, 332, 9060, 13708, 345, 346, 225, 88, 76, 73, 3496, 12856, 3650, 290, 4179, 969, 35620, 16, 543, 7218, 459, 970, 864, 3695, 3946, 18, 203, 4403, 3893, 323, 1353, 16, 803, 9256, 371, 292, 22531, 25304, 18, 5750, 225, 88, 76, 73, 1644, 8840, 3693, 9295, 2130, 30, 203, 8197, 13057, 26616, 30, 1997, 40850, 203, 521, 2371, 3270, 4179, 1814, 3159, 291, 225, 88, 76, 73, 1851, 2198, 1133, 4589, 290, 2616, 18, 1009, 225, 88, 76, 73, 1319, 292, 5850, 8818, 431, 2340, 8821, 3159, 18, 27677, 16, 4093, 225, 69, 2630, 292, 225, 88, 76, 73, 5679, 3650, 504, 32022, 290, 442, 318, 225, 88, 76, 73, 745, 2078, 3028, 292, 21321, 4447, 17, 6769, 5850, 18, 203, 829, 2636, 2451, 16, 225, 88, 76, 73, 332, 9060, 17592, 519, 7451, 291, 279, 3605, 286, 20448, 7218, 286, 3613, 519, 1489, 18, 16443, 658, 4920, 318, 915, 225, 88, 76, 73, 631, 2150, 706, 16, 10698, 4977, 16, 357, 385, 18330, 658, 5000, 18, 203, 29317, 16, 346, 225, 88, 76, 73, 631, 3695, 3946, 7451, 16, 543, 717, 371, 1376, 286, 3881, 519, 2972, 18, 203, 8197, 13057, 26616, 30, 10713, 1542, 1397, 17969, 203, 1926, 371, 1579, 1228, 313, 424, 502, 286, 2734, 225, 69, 3485, 3695, 3946, 18, 2591, 371, 1709, 16, 1761, 3890, 459, 1420, 18, 1790, 16, 225, 88, 76, 73, 17901, 3912, 292, 864, 3695, 3946, 943, 352, 88, 2843, 313, 479, 292, 225, 69, 5978, 16, 544, 16228, 527, 325, 313, 16, 6837, 18, 1366, 16, 339, 18813, 16, 943, 352, 88, 2377, 15539, 18, 203, 4139, 371, 629, 12694, 30, 203, 18957, 11946, 203, 36834, 383, 2070, 1220, 1631, 225, 69, 1302, 326, 1872, 2239, 1040, 4064, 18, 828, 943, 352, 88, 659, 286, 502, 2425, 35221, 31, 5179, 388, 8037, 16, 691, 313, 427, 1709, 1496, 286, 225, 69, 4273, 16, 318, 891, 18, 6038, 989, 4836, 318, 891, 326, 398, 2218, 1657, 16, 290, 459, 568, 22689, 398, 7788, 290, 40893, 398, 4923, 18, 203, 40671, 225, 69, 10401, 4542, 346, 10197, 16, 13371, 16, 11358, 23087, 16, 290, 1928, 8081, 11436, 11479, 15557, 1646, 203, 21242, 968, 325, 5481, 16, 22296, 16, 290, 25880, 20307, 18, 203, 9165, 398, 6628, 2094, 968, 286, 377, 3258, 225, 69, 927, 18, 203, 48, 1567, 225, 69, 1171, 18, 411, 3386, 10394, 775, 3695, 12259, 431, 3143, 3159, 16, 3060, 286, 225, 69, 2621, 423, 225, 88, 76, 73, 1495, 292, 10495, 18, 13057, 2348, 7380, 290, 13876, 11396, 3695, 3946, 18, 203, 36628, 8577, 3695, 14600, 18885, 290, 30890, 20425, 3592, 6316, 1489, 26355, 203, 15204, 1021, 2, 0, 8060, 551, 8463, 16, 703, 313, 2466, 345, 408, 1919, 352, 88, 6574, 442, 602, 35, 314, 688, 345, 16, 17030, 16, 798, 717, 979, 6574, 442, 602, 16, 517, 313, 2576, 442, 290, 530, 2484, 442, 1608, 408, 979, 449, 6574, 18, 601, 352, 87, 279, 11791, 18, 828, 1142, 979, 398, 910, 291, 225, 88, 76, 73, 10043, 10375, 292, 2451, 18, 8875, 2252, 5, 4217, 225, 69, 1388, 9695, 18, 203, 45, 3413, 745, 292, 225, 88, 76, 73, 602, 325, 225, 69, 1184, 2226, 4244, 581, 551, 884, 13070, 4697, 290, 6781, 290, 13677, 11323, 16, 20365, 225, 88, 76, 73, 823, 1229, 1228, 345, 643, 6638, 291, 551, 969, 18, 409, 1873, 385, 345, 314, 979, 225, 69, 1171, 292, 2576, 16, 8052, 286, 3517 ]

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

[ 13339, 290, 1962, 291, 4278, 203, 11244, 292, 2217, 4278, 2, 0, 20018, 16406, 318, 554, 292, 331, 15751, 526, 1179, 3882, 291, 17349, 1597, 225, 69, 2914, 4980, 292, 581, 1913, 409, 1179, 1695, 16, 9467, 38295, 346, 225, 88, 76, 73, 7984, 1830, 292, 316, 3132, 24067, 83, 2895, 16, 9609, 754, 225, 88, 76, 73, 1263, 5394, 292, 2525, 382, 9385, 16, 38564, 11252, 69, 17, 21837, 89, 24859, 77, 82, 290, 42990, 19520, 18, 203, 203, 1926, 371, 2176, 13528, 292, 2152, 11481, 345, 1177, 3225, 325, 225, 88, 76, 73, 38295, 2217, 1180, 56, 3132, 24067, 83, 2895, 5557, 31, 1560, 292, 1059, 11481, 5463, 286, 225, 88, 76, 73, 1627, 9412, 11081, 331, 15751, 331, 18581, 80, 18581, 2572, 290, 554, 286, 225, 88, 76, 73, 2879, 11081, 1913, 409, 3603, 2569, 1133, 1260, 2021, 290, 10908, 2239, 290, 1136, 2021, 290, 1260, 2239, 18, 203, 203, 45058, 3882, 203, 203, 1987, 203, 203, 23224, 3882, 291, 17349, 203, 23824, 15518, 32758, 291, 17349, 2, 0, 521, 6116, 23364, 396, 33225, 1782, 13, 203, 409, 6116, 23364, 396, 30275, 1782, 13, 2, 0, 12588, 83, 11420, 8672, 13195, 15267, 396, 55, 36073, 1286, 82, 301, 16, 3538, 2382, 25323, 696, 28894, 16, 1260, 2209, 13918, 13, 385, 225, 69, 23383, 9696, 16, 18830, 16, 9281, 16, 31947, 290, 10821, 596, 385, 554, 292, 225, 88, 76, 73, 31470, 29352, 292, 522, 595, 18, 8672, 13195, 15267, 3220, 359, 5604, 292, 10646, 16, 11582, 292, 28894, 16, 14083, 16, 290, 4651, 292, 4129, 4087, 4797, 291, 225, 88, 76, 73, 6248, 292, 19819, 290, 225, 88, 76, 73, 6248, 292, 29716, 18, 731, 318, 3285, 286, 339, 554, 292, 225, 88, 76, 73, 745, 14224, 3129, 967, 292, 522, 595, 18, 203, 203, 9035, 969, 290, 2528, 203, 2177, 385, 3157, 291, 319, 36073, 1286, 82, 301, 16, 291, 1892, 5784, 16, 325, 3538, 2382, 25323, 396, 14807, 14152, 13, 286, 2228, 21479, 290, 478, 303, 4944, 8672, 13195, 15267, 18, 1728, 3223, 385, 225, 69, 761, 17, 273, 17, 2751, 16635, 18, 203, 203, 829, 522, 17275, 16, 458, 3846, 1119, 14401, 1204, 290, 864, 1204, 16, 290, 291, 28894, 16, 291, 25549, 458, 7640, 346, 225, 69, 361, 18, 4564, 18, 423, 4622, 272, 30723, 3089, 272, 18, 1078, 522, 1244, 17, 9650, 4206, 16, 458, 1981, 286, 4681, 290, 14663, 383, 225, 88, 76, 73, 12898, 1495, 292, 17743, 18, 557, 24860, 458, 7640, 423, 225, 88, 76, 73, 3997, 526, 1167, 291, 8087, 7436, 18, 1728, 7682, 385, 7929, 12299, 8235, 73, 18, 203, 203, 21667, 262, 291, 17743, 203, 2856, 9592, 522, 4206, 16, 383, 225, 88, 76, 73, 14038, 292, 554, 292, 522, 19328, 16, 596, 5633, 8268, 290, 32758, 383, 225, 88, 76, 73, 6631, 37872, 18225, 16, 458, 6497, 291, 4681, 326, 797, 543, 806, 16, 1376, 325, 225, 88, 76, 73, 3344, 292, 225, 88, 76, 73, 5138, 41392, 2361, 11583, 18, 1099, 225, 69, 1840, 23383, 9281, 16, 955, 225, 69, 1616, 385, 225, 69, 4706, 2516, 286, 4715, 225, 69, 4567, 2651, 18, 1790, 16, 359, 225, 69, 5193, 13543, 16, 458, 882, 449, 1620, 225, 69, 4967, 21119, 16, 458, 882, 770, 548, 359, 225, 69, 33595, 6064, 18, 203, 203, 2177, 724, 2406, 325, 225, 88, 76, 73, 8164, 292, 225, 88, 76, 73, 3637, 3505, 291, 17743, 18, 557, 225, 88, 76, 73, 3352, 16, 458, 385, 7220, 291, 35978, 225, 88, 76, 73, 14878, 16, 1653, 325, 522, 11974, 16, 609, 9888, 959, 225, 69, 2621, 16, 857, 17750, 479, 225, 88, 76, 73, 4700, 290, 20260, 16, 290, 650, 225, 88, 76, 73, 3344, 292, 4797, 2483, 30, 8232, 366, 16, 36316, 346, 439, 1811, 16, 7781, 4406, 290, 225, 69, 1872, 6346, 941, 9412, 16, 458, 2406, 359, 41586, 9281, 325, 225, 88, 76, 73, 3344, 292, 554, 292, 225, 88, 76, 73, 14795, 16, 325, 573, 21011, 7016, 32020, 643, 959, 326, 225, 88, 76, 73, 724, 595, 18, 13100, 9130, 292, 225, 88, 76, 73, 548, 16, 522, 4506, 385, 286, 2072, 225, 88, 76, 73, 2218, 2621, 16, 573, 644, 4977, 652, 4734, 431, 522, 8387, 18, 203, 203, 2856, 345, 16, 544, 9899, 950, 286, 744, 279, 5613, 290, 5936, 2621, 16, 952, 292, 573, 458, 16777, 479, 658, 34367, 16, 290, 458, 644, 23144, 291, 225, 88, 76, 73, 932, 16, 286, 5334, 458, 5471, 225, 88, 76, 73, 6039, 290, 28736, 292, 225, 88, 76, 73, 14878, 18, 738, 1616, 3459, 950, 225, 69, 1171, 292, 1476, 290, 7670, 18, 4536, 458, 385, 225, 69, 1840, 9281, 16, 458, 2406, 359, 225, 69, 5012, 9281, 16, 346, 6273, 225, 88, 76, 73, 11834, 16, 573, 385, 225, 88, 76, 73, 2157, 1656, 629, 292, 522, 6552, 5012, 9888, 3737, 968, 325, 950, 346, 31528, 18, 203, 203, 1905, 225, 69, 1027, 16, 458, 2406, 291, 225, 88, 76, 73, 4932, 326, 19157, 16, 325, 225, 88, 76, 73, 2149, 292, 4574, 2614, 19157, 16, 3060, 286, 225, 88, 76, 73, 689, 17749, 1056, 2656, 203, 203, 25083, 286, 19819, 203, 829, 25272, 16, 24807, 286, 522, 2974, 526, 2371, 16, 458, 2891, 286, 2819, 522, 1616, 383, 225, 88, 76, 73, 5138, 41392, 2361, 11583, 290, 499, 785, 286, 19819, 18, 1456, 345, 595, 16, 458, 385, 6536, 286, 1651, 286, 5438, 290, 548, 326, 22863, 401, 430, 46741, 16, 596, 7345, 1004, 15123, 819, 225, 88, 76, 73, 3344, 292, 225, 88, 76, 73, 4383, 430, 46741, 12538, 18, 4143, 225, 88, 76, 73, 1616, 385, 6536, 286, 894, 291, 1589, 1358, 602, 16, 291, 1374, 286, 787, 522, 1324, 595, 16, 458, 1981, 286, 3665, 522, 4223, 1310, 16, 573, 431, 1690, 905, 427, 15795, 2176, 2039, 388, 1490, 16, 291, 1715, 458, 4361, 225, 88, 76, 73, 6666, 526, 3836, 4164, 18, 1790, 16, 458, 6449, 225, 88, 76, 73, 5703, 641, 292, 225, 88, 76, 73, 3836, 16, 827, 458, 385, 2123, 225, 88, 76, 73, 4506, 292, 17750, 225, 69, 22423, 325, 225, 88, 76, 73, 1962, 16, 290, 1364, 458 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

[ 69, 10294, 291, 3287, 13690, 423, 225, 88, 76, 73, 1495, 292, 21817, 18, 10625, 1541, 928, 689, 45, 2154, 225, 69, 14958, 952, 314, 979, 449, 821, 654, 2532, 9053, 18, 314, 3737, 1060, 290, 314, 2897, 2532, 8667, 16, 2532, 11132, 16, 517, 786, 2532, 9053, 18, 314, 7208, 345, 359, 225, 69, 4037, 1556, 203, 203, 10449, 203, 7291, 3885, 385, 9899, 431, 3551, 1010, 49666, 359, 225, 69, 1734, 14958, 291, 13698, 18, 16637, 524, 359, 225, 69, 1734, 38848, 16, 458, 385, 10224, 1476, 1721, 286, 5012, 1734, 38848, 16, 1734, 10935, 290, 4443, 10935, 18, 557, 9644, 16, 458, 385, 3249, 4651, 292, 225, 88, 76, 73, 2347, 292, 4443, 8310, 16, 27771, 225, 88, 76, 73, 10395, 290, 4443, 4593, 292, 384, 16, 9367, 6398, 290, 1734, 7765, 18, 557, 1408, 16, 458, 4642, 225, 88, 76, 73, 4778, 292, 4666, 13375, 18, 225, 4150, 522, 2269, 16, 10625, 3179, 225, 69, 2874, 8837, 292, 25461, 7696, 291, 225, 88, 76, 73, 5690, 292, 13690, 290, 3287, 13690, 290, 2154, 225, 88, 76, 73, 15175, 292, 1220, 25121, 18, 731, 8187, 423, 3551, 1010, 49666, 291, 9463, 18, 203, 203, 829, 8973, 16, 458, 385, 6568, 286, 225, 88, 76, 73, 4119, 292, 2534, 590, 292, 225, 88, 76, 73, 1063, 2229, 2361, 18, 557, 5452, 16, 458, 1736, 225, 88, 76, 73, 2928, 290, 2154, 225, 69, 41567, 40370, 18, 203, 203, 29719, 3993, 2580, 203, 203, 8012, 6720, 16, 1063, 2229, 203, 37, 563, 292, 225, 88, 76, 73, 1631, 16, 10625, 385, 8945, 2912, 291, 1504, 1750, 290, 4967, 3993, 2148, 16, 2276, 5650, 3379, 290, 11087, 18, 1238, 385, 225, 69, 891, 2101, 292, 1670, 31059, 1552, 291, 21817, 16, 359, 4350, 431, 225, 88, 76, 73, 11777, 21817, 13018, 13555, 1665, 18, 10625, 3220, 225, 88, 76, 73, 2090, 3693, 326, 225, 88, 76, 73, 39827, 292, 1351, 2126, 4433, 396, 5872, 38008, 13, 359, 519, 21817, 8030, 4115, 18, 731, 795, 17, 21608, 225, 88, 76, 73, 21817, 8030, 292, 225, 88, 76, 73, 12592, 3556, 291, 11995, 16, 7997, 286, 3665, 325, 225, 88, 76, 73, 4119, 292, 13344, 698, 225, 88, 76, 73, 6799, 87, 18, 731, 385, 568, 225, 69, 2928, 2260, 292, 225, 88, 76, 73, 37298, 3568, 30912, 16, 225, 69, 1928, 17, 7014, 3084, 1376, 346, 17928, 21817, 4848, 286, 2147, 519, 1604, 292, 969, 18, 203, 203, 1989, 225, 88, 76, 73, 12117, 27292, 3408, 292, 11777, 385, 4361, 16, 10625, 1837, 225, 69, 2819, 292, 11062, 423, 3551, 1010, 49666, 286, 723, 1139, 279, 5096, 17, 84, 9996, 225, 5439, 291, 21817, 1740, 9947, 326, 225, 69, 11709, 4804, 16, 3726, 388, 13895, 18, 731, 3220, 359, 225, 88, 76, 73, 14414, 4136, 326, 797, 806, 16, 857, 359, 6678, 3962, 18, 409, 3084, 3178, 225, 69, 1491, 2693, 292, 225, 88, 76, 73, 2763, 5900, 6335, 3850, 16, 1509, 346, 609, 4902, 3064, 18, 203, 203, 49, 5909, 203, 7291, 3885, 3178, 21817, 526, 19935, 2086, 1167, 346, 30726, 24295, 16, 30740, 291, 10858, 18, 1099, 641, 292, 225, 88, 76, 73, 1167, 458, 2406, 346, 21817, 4339, 292, 5852, 286, 3847, 17388, 326, 1463, 423, 30726, 24295, 18, 9528, 286, 522, 548, 16, 458, 385, 3249, 225, 69, 13969, 292, 225, 88, 76, 73, 2090, 6759, 292, 30740, 291, 10584, 18, 203, 203, 32405, 584, 203, 829, 10858, 16, 10625, 385, 6413, 286, 225, 88, 76, 73, 2928, 292, 29408, 292, 4365, 954, 17829, 3049, 18, 203, 203, 829, 4589, 16, 34532, 61, 6818, 627, 83, 8740, 10625, 279, 24938, 10611, 292, 43965, 23645, 18, 203, 203, 829, 3486, 16, 10625, 2524, 225, 88, 76, 73, 17131, 6250, 20634, 13423, 423, 225, 88, 76, 73, 1495, 292, 21817, 291, 7670, 292, 522, 8526, 10515, 291, 4967, 3993, 18, 203, 203, 4075, 7696, 371, 36985, 383, 225, 88, 76, 73, 1495, 292, 21817, 18, 203, 203, 829, 2987, 16, 21817, 2086, 1925, 1319, 1136, 385, 3249, 225, 88, 76, 73, 1900, 18, 13475, 10625, 5029, 1925, 1970, 1537, 291, 522, 6338, 18, 409, 1204, 26258, 1734, 290, 8760, 2388, 16, 225, 88, 76, 73, 15998, 10625, 10224, 1154, 522, 595, 359, 225, 69, 41567, 292, 225, 88, 76, 73, 2361, 292, 1063, 2229, 290, 359, 225, 88, 76, 73, 2528, 7057, 5309, 292, 225, 88, 76, 73, 12592, 3556, 292, 21817, 18, 203, 203, 829, 1920, 16, 4365, 954, 17829, 3049, 14070, 724, 17, 2996, 41148, 862, 30305, 3757, 286, 10625, 3757, 291, 10625, 526, 6338, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 4945, 18, 13475, 10625, 25728, 203, 8012, 6720, 11654, 325, 1900, 18, 13475, 10625, 5029, 203, 4945, 18, 13475, 10625, 30, 689, 29, 5720, 1328, 4019, 308, 377, 6, 203, 6050, 8519, 45, 16076, 203, 203, 6004, 717, 203, 31962, 4686, 203, 4387, 3287, 4347, 1131, 203, 4387, 4967, 3993, 15373, 203, 47, 391, 480, 717, 203, 5013, 423, 38276, 1077, 16, 8170, 203, 23543, 954, 17829, 3049, 7692, 203, 23543, 954, 17829, 3049, 29408, 203, 11244, 292, 21817, 7692, 203, 10080, 440, 1131, 423, 21817, 16, 1063, 2229, 203, 41154, 423, 1063, 2229, 396, 5337, 13, 2, 0, 521, 2107, 25194, 6263, 2730, 385, 225, 69, 2200, 1133, 225, 88, 76, 73, 1004, 8924, 40924, 1697, 33119, 290, 43084, 5186, 7983, 7585, 41526, 16, 286, 4773, 225, 88, 76, 73, 2107, 25194, 13376, 18, 601, 385, 2404, 423, 1148, 286, 2399, 2636, 2730, 16, 811, 225, 88, 76, 73, 48242, 292, 225, 88, 76, 73, 2107, 25194, 11228, 396, 42, 19393, 13, 291, 1366, 10372, 16, 6072, 18, 203, 203, 521, 2200, 385, 2891, 819, 16479, 292, 11472, 6931, 1823, 18, 1507, 3275, 2636, 2730, 1697, 33119, 15838, 522, 3525, 16, 4499, 1220, 1823, 16, 6627, 554, 290, 7144, 4266, 18, 203, 203, 38080, 14838, 203, 203, 521, 43084, 385, 6601, 291, 225, 88, 76, 73, 2730, 33338, 14838, 16, 279, 3815, 17, 25256, 4452, 2806, 17, 306, 7162, 6721, 345, 1837, 1128, 291, 9697, 40798, 17, 49, 555, 77, 1330, 79, 16, 6072, 16, 423, 2272, 2209, 286, 4600, 2209, 2730, 18, 409, 5579, 16 ]

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

[ 2091, 3990, 16, 2827, 2357, 88, 76, 531, 49953, 11984, 318, 819, 8715, 408, 371, 479, 225, 69, 641, 18, 2, 0, 4280, 1477, 1890, 2439, 2747, 352, 88, 715, 225, 69, 1565, 291, 4371, 18, 409, 35622, 545, 5224, 4371, 1577, 504, 709, 9631, 10044, 291, 1579, 609, 31031, 1315, 3494, 9122, 290, 23343, 16210, 812, 2141, 18, 203, 6260, 2439, 4795, 7098, 696, 30177, 203, 7148, 1285, 225, 88, 76, 73, 5694, 7462, 554, 292, 225, 88, 76, 73, 5046, 292, 225, 88, 76, 73, 602, 291, 225, 88, 76, 73, 1830, 292, 29379, 291, 7139, 286, 6608, 225, 88, 76, 73, 3146, 352, 87, 4236, 18, 1099, 9784, 14278, 292, 554, 292, 225, 88, 76, 73, 9248, 34523, 16, 28805, 9913, 69, 16, 1890, 2439, 37253, 786, 11082, 383, 709, 29517, 16527, 502, 2404, 383, 225, 88, 76, 73, 4795, 7098, 573, 318, 6969, 965, 286, 225, 69, 34341, 3896, 1297, 18, 203, 521, 1465, 12402, 225, 69, 34712, 292, 1491, 290, 2818, 17200, 596, 304, 4793, 527, 225, 88, 76, 73, 2190, 33956, 696, 20886, 1736, 225, 69, 1171, 292, 225, 88, 76, 73, 27058, 18405, 1315, 5714, 27058, 290, 1226, 293, 16, 290, 4694, 643, 6800, 286, 7588, 225, 88, 76, 73, 3896, 325, 1182, 18, 2060, 3767, 18267, 225, 88, 76, 73, 1465, 352, 87, 9099, 16, 596, 6478, 17527, 13808, 225, 88, 76, 73, 363, 10961, 8922, 290, 10645, 30937, 46890, 16, 1027, 609, 27058, 827, 11033, 698, 7448, 22448, 292, 1890, 2439, 8468, 31, 346, 23652, 290, 7678, 9393, 423, 22697, 359, 691, 544, 643, 3927, 292, 5714, 18, 557, 554, 3767, 20082, 1890, 2439, 874, 8954, 709, 15199, 1307, 3507, 2080, 18, 203, 10074, 316, 5429, 203, 6260, 2439, 1104, 18507, 203, 829, 4589, 16, 1689, 225, 88, 76, 73, 2699, 4278, 9003, 292, 15774, 290, 1104, 18507, 16, 225, 69, 4927, 292, 31728, 3852, 16, 4584, 3006, 13298, 1354, 290, 11877, 284, 1900, 2985, 311, 16, 20349, 1890, 2439, 1104, 18507, 16, 225, 69, 13942, 9404, 12231, 4495, 359, 225, 69, 1890, 2439, 7448, 17, 70, 447, 1600, 18, 18556, 1509, 279, 13513, 7199, 292, 528, 18, 55, 18, 11012, 5000, 16, 225, 88, 76, 73, 1583, 431, 2399, 17, 9381, 513, 11273, 290, 44754, 1848, 385, 14317, 11643, 431, 225, 88, 76, 73, 1890, 2439, 5031, 18, 203, 11693, 4278, 504, 225, 69, 2084, 292, 26872, 17, 12045, 1448, 18, 24215, 291, 225, 88, 76, 73, 2723, 87, 16, 5299, 43533, 5459, 423, 3470, 8227, 616, 36181, 1181, 1076, 738, 3295, 5466, 2154, 225, 88, 76, 73, 31504, 17, 45138, 22572, 292, 9141, 8379, 290, 4739, 15770, 291, 23701, 18, 409, 30253, 454, 17, 36873, 282, 5466, 38858, 598, 46695, 225, 88, 76, 73, 2699, 4278, 5306, 326, 806, 18, 601, 352, 87, 1172, 5132, 385, 225, 69, 37201, 5132, 291, 393, 387, 15075, 18, 203, 7683, 660, 385, 225, 88, 76, 73, 37900, 13021, 8236, 326, 225, 88, 76, 73, 3648, 48282, 16, 4278, 16, 1346, 18, 19557, 290, 3579, 8781, 349, 13431, 696, 225, 69, 2315, 26872, 17, 40361, 505, 2387, 715, 3620, 292, 225, 88, 76, 73, 14187, 20576, 325, 11813, 23869, 345, 504, 4938, 291, 1119, 1727, 290, 10212, 6014, 696, 383, 2070, 554, 292, 624, 3249, 8781, 349, 13431, 18, 203, 3018, 1890, 2439, 1104, 18507, 2569, 225, 88, 76, 73, 46133, 7760, 18, 15638, 5455, 371, 4544, 286, 339, 953, 517, 26265, 371, 544, 268, 732, 10635, 18, 1890, 2439, 1104, 18507, 318, 396, 10690, 13, 1119, 18, 203, 1266, 352, 87, 616, 18800, 17, 29081, 550, 2030, 5203, 8448, 325, 2485, 377, 334, 16, 4589, 18, 396, 2943, 14038, 385, 2613, 2970, 291, 225, 88, 76, 73, 10241, 292, 22331, 28929, 3155, 1605, 314, 724, 2897, 225, 88, 76, 73, 3635, 292, 225, 88, 76, 73, 13942, 696, 314, 3583, 345, 225, 88, 76, 73, 3706, 5854, 290, 30536, 2613, 1919, 352, 88, 821, 225, 88, 76, 73, 26153, 292, 2485, 384, 348, 18, 396, 28381, 16, 225, 88, 76, 73, 414, 37303, 1837, 1220, 1477, 286, 7553, 3155, 203, 6260, 317, 19131, 26563, 30052, 203, 521, 3852, 290, 11666, 292, 442, 1512, 3583, 442, 1248, 18, 10706, 292, 5301, 17, 7328, 5301, 16, 442, 36620, 513, 11273, 1848, 459, 6837, 17526, 785, 698, 225, 88, 76, 73, 6234, 1912, 225, 88, 76, 73, 26032, 366, 427, 5674, 225, 88, 76, 73, 14791, 18, 409, 3174, 20739, 286, 35351, 297, 459, 1369, 10850, 2021, 292, 5519, 326, 37907, 4586, 754, 2699, 4278, 18, 16637, 346, 2204, 2257, 664, 616, 1647, 225, 88, 76, 73, 10043, 385, 345, 3740, 357, 352, 87, 1336, 286, 10186, 543, 16327, 10692, 696, 664, 616, 1989, 318, 5982, 953, 3740, 388, 616, 1989, 318, 953, 5982, 3740, 1515, 396, 561, 1142, 941, 8275, 13, 616, 1647, 318, 953, 16, 8432, 3740, 203, 36451, 13439, 25040, 383, 4278, 10992, 5137, 203, 5099, 1890, 2439, 1104, 18507, 18977, 423, 418, 301, 274, 2215, 11364, 814, 203, 1066, 18581, 8682, 396, 86, 2035, 666, 17, 1423, 1035, 25408, 13, 203, 21, 18, 286, 29592, 16, 286, 26032, 203, 22, 18, 396, 901, 271, 622, 6516, 13, 286, 4777, 16, 286, 9425, 203, 23, 18, 286, 451, 7332, 16, 286, 4777, 203, 24, 18, 1998, 18, 286, 7477, 505, 203, 25, 18, 396, 69, 12726, 69, 13, 286, 26107, 505, 203, 1066, 317, 2030, 1066, 20229, 72, 19, 1890, 263, 25955, 6662, 696, 5549, 1195, 5933, 1890, 263, 25955, 63, 1066, 317, 65, 203, 1180, 82, 773, 5070, 18, 203, 829, 47066, 18, 6226, 18, 203, 63, 41087, 30, 44155, 1180, 37868, 31, 1112, 19190, 1126, 18, 292, 389, 24012, 454, 6226, 396, 71, 18, 421, 363, 539, 72, 13, 41033, 108, 28836, 1447, 2509, 25047, 308, 1244, 6226, 326, 16622, 25162, 18, 5750, 283, 1854, 3996, 20767, 203, 3627, 349, 7180, 1857, 396, 90, 377, 18, 21, 13, 203, 12904, 325, 225, 88, 76, 73, 27812, 3010, 834, 349, 7180, 1857, 26134, 16, 14945, 27812, 3010, 16, 3726, 18, 4109, 18, 203, 18567, 286, 225, 69, 1279, 203, 15426, 4371, 16, 1638, 18507, 16, 657, 2439, 203, 18515, 1136, 3868, 203, 9746, 225, 69 ]

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

[ 17983, 21556, 4964, 286, 409, 9550, 18, 225, 409, 4964, 987, 16, 291, 641, 16, 689, 2428, 1015, 225, 69, 30437, 8431, 18, 318, 770, 225, 69, 11116, 6908, 720, 286, 23780, 225, 69, 3418, 2113, 346, 225, 88, 76, 73, 25077, 3525, 4538, 18, 8621, 357, 318, 449, 1230, 1709, 286, 688, 225, 88, 76, 73, 8089, 1143, 409, 46759, 1866, 15224, 10317, 318, 2204, 16, 357, 318, 1709, 286, 3279, 16, 290, 225, 88, 76, 73, 982, 6765, 424, 16457, 357, 5307, 3060, 286, 225, 88, 76, 73, 6926, 1556, 203, 203, 521, 1361, 2333, 292, 225, 88, 76, 73, 452, 88, 76, 3503, 2897, 225, 88, 76, 73, 27006, 292, 22889, 526, 13910, 18, 225, 409, 9550, 2154, 641, 292, 797, 609, 1491, 7696, 18, 225, 409, 22889, 10061, 3888, 290, 225, 88, 76, 73, 14650, 4970, 16675, 291, 225, 88, 76, 73, 6799, 87, 16, 12556, 5237, 359, 5008, 7696, 16, 874, 14189, 277, 1046, 6941, 326, 225, 88, 76, 73, 1150, 7459, 18, 225, 16481, 225, 88, 76, 73, 797, 18497, 643, 5570, 698, 409, 4970, 17, 8826, 396, 69, 2980, 2794, 13, 291, 8973, 16, 346, 409, 3990, 9550, 961, 3179, 325, 21670, 18, 225, 1294, 3084, 1740, 225, 88, 76, 73, 22889, 30141, 4996, 2154, 225, 88, 76, 73, 1491, 7053, 292, 225, 88, 76, 73, 1063, 3409, 1201, 19364, 18, 225, 409, 8450, 385, 12989, 1712, 359, 409, 22889, 4970, 3888, 954, 3990, 9550, 18, 203, 203, 521, 9550, 5292, 225, 88, 76, 73, 11559, 292, 1579, 8833, 14077, 290, 34057, 18, 225, 314, 18, 430, 18, 689, 12392, 6, 3024, 3640, 16, 20819, 5402, 3304, 9516, 290, 554, 292, 225, 88, 76, 73, 2536, 20886, 292, 225, 88, 76, 73, 13751, 20652, 11, 3693, 292, 3146, 291, 19611, 16, 2483, 522, 2269, 383, 409, 9550, 18, 7741, 526, 689, 6151, 311, 32609, 405, 6, 16381, 2811, 5240, 385, 225, 69, 16103, 326, 409, 9550, 291, 225, 88, 76, 73, 10480, 87, 18, 225, 28544, 472, 4838, 36131, 385, 225, 69, 16103, 326, 409, 22889, 4970, 291, 225, 88, 76, 73, 2775, 8587, 87, 18, 203, 203, 521, 8450, 48807, 286, 709, 5939, 16, 673, 17, 32082, 17, 8826, 1565, 292, 409, 9550, 1060, 5755, 18, 4426, 957, 91, 4091, 2154, 14387, 292, 409, 9550, 325, 2698, 4600, 16, 3384, 31, 225, 458, 385, 4977, 14387, 292, 409, 30529, 4790, 17, 42444, 1323, 18, 203, 203, 829, 2153, 16, 225, 88, 76, 73, 1063, 3994, 38574, 3693, 6081, 409, 9550, 16, 225, 88, 76, 73, 689, 3532, 1755, 1879, 292, 225, 88, 76, 73, 4575, 6, 3525, 359, 225, 69, 3225, 16, 290, 2196, 3990, 13910, 16, 326, 709, 31418, 7937, 325, 225, 88, 76, 73, 22889, 7073, 3625, 40694, 4164, 345, 602, 18, 203, 203, 16240, 28045, 421, 18, 3469, 2284, 385, 3249, 225, 88, 76, 73, 8450, 526, 724, 4750, 6678, 7042, 291, 1920, 18, 203, 203, 33325, 203, 203, 3591, 568, 203, 9550, 11873, 16, 225, 88, 76, 73, 8450, 526, 965, 423, 32790, 286, 29009, 203, 5695, 292, 1644, 13910, 203, 203, 9824, 203, 203, 1987, 4327, 21336, 292, 442, 2983, 1303, 423, 1563, 203, 43532, 5695, 292, 2764, 290, 1644, 8977, 46701, 396, 33079, 13, 291, 225, 88, 76, 73, 1502, 7827, 10317, 11, 203, 203, 3257, 2477, 4327, 409, 9550, 16, 1344, 6175, 203, 4168, 10395, 431, 409, 9550, 203, 4426, 319, 18, 5079, 417, 321, 16, 4277, 290, 6320, 292, 14828, 6649, 749, 603, 18, 377, 396, 45777, 13, 203, 6476, 19679, 262, 16, 409, 8029, 292, 279, 13159, 38574, 396, 33061, 13, 203, 2212, 478, 18, 23693, 10737, 16, 409, 7103, 277, 292, 225, 88, 76, 73, 22889, 9550, 396, 21009, 13, 203, 203, 1758, 3732, 9011, 291, 9318, 203, 14746, 575, 24590, 203, 17844, 2155, 291, 22889, 16, 9318, 203, 3532, 1755, 4996, 3179, 291, 9318, 203, 26923, 3178, 291, 45184, 2, 0, 18190, 1997, 8816, 373, 396, 8209, 3275, 16, 28379, 696, 2485, 1519, 16, 11262, 13, 385, 279, 1644, 11430, 16, 9696, 16, 1244, 11950, 16, 290, 14387, 18, 731, 385, 6081, 346, 225, 88, 76, 73, 4383, 41629, 10304, 326, 28407, 291, 12902, 18, 225, 8816, 373, 568, 3220, 359, 279, 20918, 1851, 2198, 14867, 16, 6568, 286, 3665, 1133, 225, 88, 76, 73, 23404, 292, 5169, 36509, 2553, 2527, 3447, 291, 2636, 15894, 290, 225, 88, 76, 73, 2494, 14123, 1643, 7790, 17, 77, 82, 292, 36013, 16749, 1630, 16, 596, 644, 652, 6413, 286, 6675, 2553, 2527, 3447, 18, 203, 203, 9035, 969, 290, 17059, 2269, 225, 203, 13788, 291, 7365, 13285, 16, 8816, 373, 385, 279, 770, 1103, 596, 5789, 527, 30626, 291, 5706, 290, 2764, 290, 385, 3157, 286, 35283, 1491, 13543, 290, 9696, 6130, 332, 18, 8816, 373, 290, 20642, 8816, 373, 18, 6034, 522, 2974, 458, 385, 28412, 423, 225, 88, 76, 73, 1515, 45959, 290, 15714, 69, 3366, 18, 1099, 225, 69, 1103, 458, 5801, 1502, 3621, 290, 3230, 325, 286, 17671, 1495, 554, 602, 1846, 346, 225, 69, 3658, 291, 15753, 18, 8816, 373, 7640, 291, 23142, 383, 2184, 3143, 18, 203, 203, 829, 14569, 16, 8816, 373, 22140, 1175, 22, 16, 1318, 290, 1981, 325, 286, 2207, 225, 88, 76, 73, 7365, 13285, 10061, 13159, 16, 225, 88, 76, 73, 2070, 24115, 8450, 291, 2364, 18, 557, 20953, 458, 3168, 225, 88, 76, 73, 14547, 286, 623, 698, 225, 88, 76, 73, 2508, 932, 290, 1708, 5996, 225, 88, 76, 73, 7365, 13285, 10061, 3888, 291, 19101, 18, 409, 4618, 2922, 16, 458, 385, 6568, 359, 225, 88, 76, 73, 7365, 13285, 1244, 11950, 18, 8816, 373, 987, 404, 728, 225, 88, 76, 73, 10061, 13159, 290, 5570, 345, 346, 225, 88, 76, 73, 10061, 3888, 286, 2420, 225, 88, 76, 73, 7365, 13285, 10061, 3888, 954, 13159, 18, 11068, 1708, 16, 8816, 373, 5287, 409, 14650, 5362, 16, 7365, 13285, 526, 2630, 2794, 18, 731, 1708, 5570, 225, 88, 76, 73, 797, 1482, 409, 3888, 17, 7600, 18, 1979, 3275, 806, 16, 357, 385, 3168, 326, 1689, 1136, 2372, 6514, 286, 225, 88, 76, 73, 14387, 292, 409, 9573, 32670, 18, 203, 203, 17466 ]

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

[ 24892, 26434, 37097, 18, 1666, 1569, 16, 225, 88, 76, 73, 7126, 4746, 10006, 4932, 1736, 286, 1139, 225, 88, 76, 73, 430, 16968, 16122, 523, 277, 18, 409, 2595, 3579, 4415, 286, 670, 385, 915, 225, 88, 76, 73, 28581, 24892, 26434, 37097, 291, 10201, 16, 2158, 524, 225, 88, 76, 73, 5717, 3525, 291, 225, 88, 76, 73, 6065, 272, 26434, 18, 26288, 58, 3846, 14157, 291, 442, 5717, 291, 10201, 1180, 13269, 16, 325, 6964, 2697, 346, 7495, 27925, 26288, 58, 22461, 17743, 16, 517, 882, 770, 3647, 1124, 88, 76, 225, 88, 76, 73, 602, 819, 290, 385, 27925, 785, 286, 225, 88, 76, 73, 6065, 272, 26434, 18, 203, 203, 19712, 286, 1552, 203, 7023, 291, 225, 88, 76, 73, 6065, 272, 26434, 16, 16122, 523, 277, 385, 3856, 27925, 1001, 16, 286, 225, 88, 76, 73, 40319, 347, 729, 26434, 18, 601, 4642, 286, 6596, 517, 1882, 1172, 291, 225, 88, 76, 73, 6065, 272, 26434, 291, 9463, 1180, 12776, 290, 979, 449, 4076, 286, 2877, 286, 442, 1398, 326, 1378, 6196, 6806, 18, 409, 2595, 2154, 641, 292, 225, 88, 76, 73, 631, 40319, 9207, 538, 529, 26434, 428, 47544, 23254, 1655, 291, 8973, 18, 203, 203, 829, 7196, 16, 225, 88, 76, 73, 2595, 1837, 524, 225, 88, 76, 73, 40319, 9207, 538, 529, 26434, 428, 47544, 23254, 1655, 396, 11032, 13, 3525, 290, 4415, 286, 225, 88, 76, 73, 6065, 272, 26434, 326, 2176, 6806, 18, 21346, 16, 3300, 346, 225, 69, 8511, 1128, 16, 225, 88, 76, 73, 2595, 4604, 761, 517, 857, 15087, 1569, 431, 1569, 290, 385, 1912, 1001, 27925, 291, 5755, 16, 819, 279, 1124, 88, 76, 17, 4294, 3647, 18, 203, 203, 829, 3384, 16122, 523, 277, 385, 27925, 423, 225, 88, 76, 73, 40319, 347, 729, 26434, 290, 225, 88, 76, 73, 2595, 7434, 754, 225, 88, 76, 73, 13260, 423, 660, 16, 286, 225, 88, 76, 73, 24933, 7796, 21825, 583, 291, 3008, 290, 225, 88, 76, 73, 332, 17, 47, 21825, 583, 291, 2855, 18, 409, 2595, 2154, 935, 335, 2373, 291, 2355, 2855, 290, 385, 6164, 27925, 423, 225, 88, 76, 73, 24933, 7796, 21825, 583, 286, 225, 88, 76, 73, 332, 17, 47, 21825, 583, 18, 409, 2595, 2375, 979, 449, 1962, 225, 69, 962, 291, 2855, 1180, 2566, 18, 1456, 629, 3232, 819, 442, 225, 88, 76, 73, 2595, 385, 32445, 18, 203, 203, 2691, 225, 69, 1968, 16794, 17, 582, 4746, 10006, 962, 291, 16122, 523, 277, 16, 225, 88, 76, 73, 16122, 523, 277, 17334, 16, 2561, 291, 225, 88, 76, 73, 34313, 430, 562, 7000, 24223, 16, 225, 88, 76, 73, 2595, 8136, 15283, 4174, 326, 2155, 2949, 290, 19243, 18, 203, 203, 27582, 203, 521, 2595, 526, 27107, 30, 203, 203, 22618, 203, 28581, 26434, 319, 5011, 72, 23254, 1655, 396, 15155, 13, 203, 4004, 30, 12812, 203, 428, 47544, 23254, 1655, 9287, 396, 15155, 13, 203, 4004, 30, 14164, 203, 6065, 272, 26434, 37097, 17, 49, 46123, 396, 5123, 13, 203, 4004, 30, 10201, 203, 43191, 17, 406, 30, 396, 23, 13, 11262, 16, 11086, 16, 10584, 203, 40319, 9207, 538, 529, 26434, 428, 47544, 23254, 1655, 396, 11032, 13, 203, 4004, 30, 7196, 203, 43191, 17, 406, 30, 8694, 203, 40319, 347, 729, 26434, 428, 47544, 23254, 1655, 17, 11693, 396, 58, 5826, 13, 203, 4004, 30, 4589, 203, 203, 28645, 203, 41392, 811, 591, 9287, 203, 43191, 17, 406, 30, 396, 22, 13, 14732, 16, 10945, 203, 203, 13624, 6806, 203, 521, 2243, 1569, 17, 1553, 17, 10358, 2358, 292, 225, 88, 76, 73, 2595, 30, 203, 203, 2691, 225, 88, 76, 73, 7840, 292, 225, 88, 76, 73, 40319, 9207, 538, 529, 6543, 287, 291, 8973, 359, 225, 88, 76, 73, 631, 8511, 16794, 16, 2130, 225, 88, 76, 73, 6065, 272, 6543, 287, 16, 479, 18564, 2130, 7434, 554, 16794, 18, 1591, 225, 88, 76, 73, 7840, 292, 225, 88, 76, 73, 10236, 446, 337, 287, 291, 7752, 290, 225, 88, 76, 73, 685, 18, 24223, 291, 3486, 359, 225, 88, 76, 73, 631, 2630, 16794, 16, 2130, 225, 88, 76, 73, 384, 18, 37179, 16, 479, 18564, 2130, 7434, 554, 16794, 18, 1591, 225, 88, 76, 73, 9163, 292, 225, 88, 76, 73, 10236, 446, 11074, 37097, 359, 225, 88, 76, 73, 631, 5837, 16794, 291, 34367, 291, 2862, 225, 88, 76, 73, 37097, 26434, 385, 6971, 698, 225, 69, 7716, 290, 225, 69, 7445, 7053, 16, 225, 88, 76, 73, 1319, 292, 6065, 272, 6543, 287, 8412, 423, 1220, 286, 2176, 290, 225, 88, 76, 73, 40319, 9207, 538, 529, 6543, 287, 30621, 18, 1558, 18564, 423, 225, 88, 76, 73, 40319, 347, 729, 6543, 287, 35635, 643, 14932, 554, 16794, 18, 203, 203, 1987, 203, 203, 16741, 203, 55, 5011, 72, 3150, 5559, 354, 3524, 393, 1262, 1459, 2186, 354, 48378, 291, 16841, 35593, 645, 24238, 1180, 18988, 225, 5695, 292, 6758, 3911, 2746, 291, 6558, 16, 2411, 30, 17920, 3429, 5126, 635, 203, 203, 3257, 2477, 203, 40, 287, 486, 5559, 6060, 13084, 21120, 1459, 17, 12847, 440, 5939, 3911, 7231, 5717, 6558, 1563, 203, 29525, 2746, 7126, 291, 4681, 203, 29525, 2746, 7126, 291, 34367, 203, 15684, 2746, 7126, 3178, 291, 18317, 203, 10274, 7126, 3178, 291, 25892, 203, 41915, 523, 277, 203, 41915, 523, 277, 17334, 203, 18406, 291, 14165, 34367, 203, 1758, 12872, 9011, 291, 34367, 203, 18406, 7126, 291, 4681, 203, 15684, 2746, 7126, 3178, 291, 25892, 2, 0, 521, 3384, 5201, 6422, 6128, 321, 3480, 962, 7167, 5201, 6422, 1495, 359, 225, 69, 2260, 292, 225, 88, 76, 73, 6758, 6654, 396, 2628, 3302, 13, 1154, 225, 88, 76, 73, 3384, 14817, 5669, 314, 393, 9354, 2746, 1569, 18, 20871, 431, 1361, 17, 2996, 1357, 3561, 16561, 23919, 16, 225, 88, 76, 73, 6128, 321, 3480, 15189, 279, 3758, 1514, 292, 384, 1180, 29, 346, 225, 69, 1031, 292, 377, 1180, 27, 291, 4975, 748, 16, 10419, 1172, 524, 292, 6196, 3201, 291, 225, 88, 76, 73, 1366, 3302, 18, 5201, 6422, 2533, 519, 965, 1823, 383, 6092, 20289, 7591, 383, 430, 18, 478, 18, 10065 ]

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

[ 10486, 3785, 624, 2656, 203, 2058, 14182, 326, 3514, 408, 4734, 286, 3373, 5971, 290, 4311, 17, 916, 442, 4357, 35, 203, 9937, 2976, 292, 8493, 1793, 30, 22738, 346, 15476, 819, 6627, 225, 69, 3719, 554, 286, 4311, 17, 916, 203, 5678, 225, 88, 76, 73, 4707, 2483, 16, 225, 88, 76, 73, 1319, 292, 717, 291, 225, 88, 76, 73, 3261, 596, 427, 3904, 346, 4311, 17, 916, 4842, 359, 225, 88, 1143, 203, 27, 2789, 203, 9937, 2976, 292, 8493, 1793, 30, 22738, 346, 15476, 819, 6627, 225, 69, 3719, 554, 286, 4311, 17, 916, 203, 27, 2789, 203, 20959, 17822, 30, 708, 286, 10136, 225, 88, 76, 73, 1866, 19112, 46596, 11, 203, 27, 2789, 203, 19112, 17, 916, 30, 1838, 318, 23923, 22451, 290, 459, 408, 1801, 2124, 357, 35, 203, 26, 2789, 203, 4193, 313, 623, 1317, 4311, 17, 916, 22451, 423, 17410, 388, 9607, 35, 203, 26, 2789, 203, 4378, 225, 88, 76, 73, 47717, 326, 5971, 290, 4311, 17, 916, 203, 16766, 16, 225, 88, 76, 73, 910, 4399, 1584, 225, 88, 76, 73, 5971, 290, 4311, 17, 916, 318, 225, 88, 76, 73, 17410, 6831, 18, 203, 521, 4311, 17, 916, 17410, 6831, 504, 652, 22260, 3141, 16, 290, 225, 88, 76, 73, 2151, 504, 3077, 8412, 709, 1324, 5971, 17410, 6831, 286, 543, 717, 16, 1315, 1059, 658, 2723, 18, 203, 27744, 1969, 975, 1182, 225, 88, 76, 73, 910, 4399, 423, 18864, 290, 4477, 723, 2145, 519, 3952, 18, 203, 6, 43540, 18198, 459, 339, 2758, 326, 1324, 286, 1204, 12188, 290, 2165, 658, 225, 88, 76, 73, 2184, 292, 2723, 18, 9741, 16, 4311, 17, 916, 24328, 489, 10634, 459, 339, 12517, 524, 286, 798, 10081, 3074, 16, 290, 225, 88, 76, 73, 1519, 17, 286, 1583, 17, 2996, 17, 10762, 459, 339, 3884, 4311, 17, 916, 18198, 2670, 3567, 4584, 293, 8248, 18, 203, 6, 1200, 905, 3881, 225, 88, 76, 73, 2707, 292, 225, 88, 76, 73, 5971, 290, 4311, 17, 916, 517, 459, 449, 1702, 609, 33709, 955, 359, 2078, 4065, 18864, 16, 17659, 58, 290, 6202, 628, 4460, 345, 371, 568, 1712, 286, 3028, 2645, 6726, 291, 225, 88, 76, 73, 4357, 18, 203, 6, 521, 1398, 292, 4399, 803, 18198, 459, 1369, 286, 225, 88, 76, 73, 1489, 1310, 459, 18791, 5073, 325, 225, 88, 76, 73, 40539, 1556, 203, 521, 2707, 5971, 18198, 318, 2648, 286, 427, 568, 17667, 8945, 325, 1216, 581, 3529, 5971, 18864, 345, 39684, 18, 3439, 602, 225, 88, 76, 73, 2107, 3308, 12228, 38417, 225, 88, 76, 73, 745, 2078, 12029, 292, 5971, 1653, 325, 1172, 4357, 526, 745, 2078, 22261, 16, 517, 1966, 286, 1172, 4357, 526, 13987, 16, 449, 225, 69, 2013, 1715, 292, 5971, 385, 4997, 431, 4791, 3308, 3994, 18, 203, 6, 521, 24246, 292, 5971, 18198, 459, 568, 5073, 325, 573, 39314, 18864, 459, 39684, 290, 708, 6936, 225, 88, 76, 73, 20690, 427, 652, 18, 996, 225, 88, 76, 73, 18198, 502, 449, 2200, 225, 88, 76, 73, 41490, 39314, 18864, 16, 225, 88, 76, 73, 4399, 459, 339, 3600, 2670, 3567, 4584, 293, 7735, 18, 203, 7683, 660, 526, 225, 88, 76, 73, 2809, 292, 631, 4311, 17474, 18, 1099, 631, 17474, 16254, 16, 225, 88, 76, 73, 2707, 292, 225, 88, 76, 73, 18198, 504, 225, 88, 76, 73, 2778, 286, 1626, 16, 3567, 4584, 293, 8248, 18, 203, 6, 2628, 1856, 16, 225, 88, 76, 73, 1474, 4311, 17, 916, 18198, 2471, 286, 1369, 877, 4399, 1584, 479, 31815, 17474, 18, 1790, 16, 691, 225, 69, 631, 15229, 28273, 345, 424, 396, 6061, 1293, 13, 19184, 22451, 2758, 431, 4311, 17, 916, 18198, 388, 3529, 4311, 17, 916, 13323, 16, 225, 88, 76, 73, 3343, 783, 2678, 1620, 4293, 2670, 458, 1723, 18, 203, 14058, 361, 326, 4311, 17, 916, 203, 4256, 479, 877, 3407, 16, 660, 1551, 286, 339, 225, 69, 11160, 291, 1715, 318, 14052, 18, 557, 442, 1715, 16, 345, 459, 1940, 2709, 5844, 1353, 291, 1128, 286, 3613, 443, 423, 225, 88, 76, 73, 3952, 292, 4311, 17, 916, 18, 203, 6, 16766, 16, 225, 88, 76, 73, 1179, 3874, 318, 286, 15006, 405, 1584, 4311, 17, 916, 290, 225, 88, 76, 73, 5971, 18, 9741, 16, 225, 88, 76, 73, 1866, 14738, 16, 38785, 290, 1498, 5599, 1056, 11, 459, 4458, 291, 1128, 18, 996, 442, 318, 449, 1796, 290, 225, 88, 76, 73, 18639, 318, 291, 17159, 10051, 292, 4242, 15495, 16, 225, 88, 76, 73, 541, 17, 11314, 1866, 14058, 361, 11, 459, 1303, 698, 2797, 2670, 3567, 4584, 293, 8248, 18, 203, 6, 1200, 459, 1706, 5844, 955, 359, 10240, 292, 2930, 4179, 2972, 16, 14381, 2245, 11757, 291, 3152, 383, 864, 2972, 292, 7156, 10578, 16, 1376, 423, 965, 16, 10707, 398, 2988, 5514, 16, 290, 14381, 11538, 16956, 326, 864, 17, 20453, 10551, 955, 359, 49971, 18, 1790, 16, 691, 442, 318, 449, 1796, 543, 29134, 8753, 371, 2648, 1556, 203, 2628, 670, 1071, 442, 1940, 326, 13085, 1388, 10041, 292, 7558, 35, 203, 16766, 16, 23558, 423, 225, 88, 76, 73, 18924, 15875, 3348, 326, 9335, 21268, 396, 5995, 10053, 13, 8407, 345, 408, 783, 821, 384, 16, 1318, 286, 1148, 16, 1318, 4311, 17, 916, 4959, 26873, 619, 927, 423, 2485, 18, 203, 7148, 4357, 16, 225, 88, 76, 73, 1319, 292, 3225, 4311, 17, 916, 4959, 26873, 23079, 383, 581, 832, 16, 5297, 18, 203, 1371, 345, 22111, 318, 1054, 16, 225, 88, 76, 73, 18639, 459, 2613, 339, 1316, 286, 15363, 691, 225, 88, 76, 73, 1319, 292, 4311, 17, 916, 3104, 4819, 383, 225, 88, 76, 73, 3151, 991, 292, 803, 26976, 18, 1218, 691, 3225, 4959, 26873, 2124, 225, 88, 76, 73, 6440, 991, 292, 225, 88, 76, 73, 2609, 20690, 16, 1148, 16, 1318, 4959, 26873, 225, 69, 927, 16, 225, 88, 76, 73, 18639, 703, 339, 15495, 18, 203, 8935, 4584, 293, 8407, 442, 703, 2613, 1873, 291, 225, 69, 8958, 15918, 292, 531, 6899, 1056, 18, 203, 1266, 526, 568, 1263, 286, 3639, 345, 803, 20690, 770, 1706, 4311, 17, 916, 3104, 18 ]

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

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

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

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

[ 449, 1248, 940, 517, 715, 225, 88, 76, 73, 1054, 2487, 18, 4900, 291, 225, 69, 1162, 2320, 555, 290, 6630, 555, 16, 313, 459, 1290, 754, 46773, 488, 545, 1076, 203, 521, 1244, 2765, 225, 69, 1547, 286, 225, 69, 1250, 4009, 357, 16, 517, 16, 19580, 16, 225, 88, 76, 73, 1547, 786, 2736, 2016, 18, 203, 20263, 345, 357, 318, 959, 291, 3671, 4525, 225, 69, 1128, 449, 1712, 326, 709, 25521, 292, 6142, 4728, 4525, 357, 703, 339, 225, 69, 2838, 16464, 3259, 596, 3110, 780, 644, 286, 1934, 286, 11458, 633, 22246, 413, 1249, 357, 18, 3783, 3976, 654, 4874, 581, 225, 88, 76, 73, 2371, 12338, 326, 31915, 357, 18, 203, 3018, 857, 961, 225, 69, 3259, 291, 225, 69, 4292, 4525, 654, 4292, 4525, 345, 12212, 709, 1778, 664, 1361, 17, 6553, 6316, 318, 1541, 225, 69, 16464, 932, 18, 203, 1926, 18, 332, 22537, 504, 11353, 18, 203, 22509, 487, 1812, 1447, 278, 1655, 9951, 22764, 377, 30, 5592, 30, 564, 3242, 848, 3465, 24453, 203, 38450, 468, 12121, 3037, 318, 5746, 35138, 16, 24006, 346, 22246, 413, 16, 1054, 13442, 22416, 203, 43, 14926, 11, 82, 1911, 31614, 203, 10371, 6422, 318, 225, 69, 22177, 1403, 1727, 1627, 18, 601, 6019, 225, 69, 1403, 1128, 291, 225, 88, 76, 73, 2328, 292, 798, 23849, 952, 292, 225, 88, 76, 73, 4580, 292, 225, 88, 76, 73, 473, 1082, 399, 290, 709, 11406, 16, 517, 4492, 5, 357, 318, 554, 2892, 347, 264, 323, 1128, 650, 11131, 388, 2762, 371, 6478, 291, 346, 709, 7676, 18, 203, 1905, 798, 6941, 225, 88, 76, 73, 2441, 286, 1502, 2347, 1817, 39177, 16, 21726, 2988, 16, 31696, 10951, 16, 290, 17645, 3687, 11131, 35, 3865, 16, 17645, 3687, 11131, 783, 449, 339, 345, 2078, 325, 225, 88, 76, 73, 3224, 4692, 517, 225, 69, 563, 2681, 326, 2027, 6422, 352, 87, 34019, 327, 438, 4138, 2891, 286, 787, 3687, 4960, 2883, 286, 623, 10362, 18, 203, 1109, 1543, 688, 745, 3506, 6941, 16, 48658, 1752, 291, 1935, 16, 544, 813, 286, 623, 524, 286, 225, 88, 76, 73, 1868, 2595, 290, 1449, 1060, 346, 225, 69, 3706, 292, 4522, 291, 519, 1032, 16, 1109, 928, 6944, 11312, 10498, 18, 731, 2404, 225, 69, 616, 41947, 4960, 1670, 550, 383, 10498, 24456, 25979, 15309, 291, 34786, 18, 203, 1905, 2399, 6514, 16, 19198, 286, 522, 3224, 1427, 25543, 290, 225, 69, 3122, 286, 2883, 225, 69, 3687, 4960, 292, 519, 2947, 18, 616, 6580, 314, 2421, 225, 69, 1128, 827, 408, 882, 427, 629, 1189, 16, 1109, 928, 10498, 18, 203, 38243, 7208, 225, 88, 76, 73, 7706, 952, 357, 307, 10324, 522, 10614, 325, 6116, 21272, 3993, 18, 409, 34019, 327, 438, 4138, 318, 4246, 326, 27771, 2027, 6422, 352, 87, 7128, 5508, 18, 10498, 1723, 345, 16, 691, 6413, 16, 458, 703, 1934, 286, 2688, 5538, 326, 225, 88, 76, 73, 2090, 8630, 18, 731, 568, 30480, 5486, 225, 88, 76, 73, 2090, 8630, 965, 423, 14035, 286, 723, 1945, 10118, 13465, 18, 203, 1109, 521, 1095, 325, 2794, 1723, 225, 88, 76, 73, 2763, 6965, 459, 22969, 1690, 10761, 16, 1109, 928, 10498, 18, 616, 6580, 691, 225, 88, 76, 73, 2090, 8630, 318, 291, 14035, 357, 424, 352, 88, 502, 345, 28955, 10498, 318, 3711, 77, 82, 396, 40827, 13, 325, 522, 372, 4960, 17, 762, 7050, 19969, 286, 723, 950, 1419, 10362, 18, 203, 11168, 408, 3182, 345, 10498, 400, 695, 337, 568, 2765, 225, 69, 32959, 286, 1419, 225, 69, 11192, 287, 809, 48123, 35, 409, 11318, 10910, 385, 291, 225, 88, 76, 73, 2587, 3077, 952, 225, 88, 76, 73, 5316, 8975, 6142, 1250, 318, 6954, 16842, 31, 225, 88, 76, 73, 6705, 17, 16275, 21863, 7733, 504, 6204, 10419, 6133, 290, 6433, 23811, 17, 6036, 8841, 17, 10852, 11412, 291, 3671, 290, 7942, 2214, 371, 17612, 225, 88, 76, 73, 6728, 1297, 18, 203, 988, 2795, 691, 225, 88, 76, 73, 11192, 287, 809, 48123, 345, 10498, 394, 1387, 1047, 706, 318, 225, 88, 76, 73, 1229, 909, 18, 203, 22509, 487, 1812, 1447, 486, 3111, 10166, 20589, 22764, 1814, 30, 6011, 30, 564, 714, 384, 3465, 24453, 203, 38450, 468, 12121, 3037, 14035, 16, 490, 50111, 809, 48123, 16, 2027, 6422, 16, 1727, 7676, 203, 15092, 16, 3436, 2427, 3384, 203, 43, 1350, 11, 36107, 35, 203, 13133, 905, 449, 339, 11411, 346, 689, 5147, 421, 844, 2656, 203, 3134, 318, 225, 88, 76, 73, 41463, 3525, 292, 9492, 40987, 82, 526, 1866, 40372, 8890, 8904, 409, 609, 318, 225, 69, 4337, 431, 646, 349, 356, 5325, 16, 15074, 333, 503, 432, 743, 16, 1054, 13442, 6556, 8645, 1131, 290, 16255, 38888, 15489, 286, 499, 524, 286, 519, 785, 16817, 286, 3835, 28204, 16, 691, 314, 4484, 519, 24951, 18, 203, 6, 22784, 38706, 6, 318, 670, 36639, 935, 7936, 1740, 40987, 82, 526, 9945, 291, 225, 88, 76, 73, 1172, 2754, 292, 225, 88, 76, 73, 3486, 12561, 3224, 18, 557, 225, 88, 76, 73, 3982, 16, 28964, 371, 928, 286, 499, 38706, 650, 544, 5008, 423, 225, 88, 76, 73, 23923, 290, 499, 706, 325, 519, 884, 16, 2681, 714, 477, 290, 3082, 31956, 18, 5502, 286, 442, 16, 357, 526, 225, 88, 76, 73, 31468, 11746, 596, 371, 16363, 286, 1191, 38706, 31, 4324, 225, 88, 76, 73, 15489, 643, 3347, 292, 8431, 478, 29265, 16, 25416, 1571, 526, 2974, 35, 203, 829, 654, 1465, 16, 1792, 785, 286, 40987, 82, 526, 1184, 30, 203, 39098, 318, 961, 3230, 527, 423, 4618, 286, 5886, 18, 1946, 291, 1374, 286, 4484, 225, 88, 76, 73, 5176, 1184, 17, 4391, 1255, 1569, 18, 409, 2677, 12816, 11970, 504, 652, 291, 3295, 3890, 359, 225, 69, 8863, 16, 290, 4774, 286, 9845, 225, 69, 33753, 292, 2155, 2949, 18, 203, 37, 16210, 812, 724, 8093, 292, 377, 18, 25, 2372, 9626, 504, 652, 7392, 1608, 225, 88, 76, 73, 1150, 724, 1177, 359, 616, 26260, 40698, 1395, 225, 88, 76, 73, 19733, 292, 225, 88, 76, 73, 2775, 5122, 18, 9317, 351, 18, 13972, 18, 203, 52, 21473, 644, 225 ]

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

[ 88, 76, 73, 36593, 43223, 4116, 270, 7510, 22334, 291, 8169, 18, 203, 203, 13403, 203, 521, 6128, 321, 758, 19751, 5595, 2916, 318, 2558, 291, 225, 69, 7613, 1389, 292, 32623, 2474, 19658, 16, 325, 2459, 1752, 292, 9049, 43223, 4116, 270, 4085, 5898, 292, 2217, 2474, 19658, 4085, 18, 225, 409, 2646, 318, 225, 69, 5159, 292, 1227, 5690, 290, 45815, 16, 346, 225, 88, 76, 73, 1227, 5690, 4176, 6313, 286, 225, 88, 76, 73, 2441, 18, 225, 332, 1240, 14491, 292, 4700, 318, 2558, 325, 225, 88, 76, 73, 3686, 1752, 292, 225, 88, 76, 73, 2441, 16, 423, 573, 225, 69, 2774, 292, 10948, 2802, 10011, 1808, 225, 88, 76, 73, 6234, 18, 203, 203, 6355, 203, 521, 6128, 321, 758, 19751, 5595, 2916, 385, 3909, 291, 10708, 431, 5857, 290, 18363, 7383, 993, 496, 16, 596, 5890, 290, 5583, 225, 88, 76, 73, 3084, 1535, 225, 69, 1648, 7125, 292, 519, 2171, 385, 49869, 291, 2153, 16, 3082, 225, 88, 76, 73, 6128, 321, 758, 4804, 8221, 18, 409, 11263, 5843, 292, 225, 88, 76, 73, 1389, 318, 225, 88, 76, 73, 36593, 43223, 4116, 270, 3010, 16, 225, 69, 7986, 2296, 797, 17, 16764, 10767, 1577, 18, 225, 601, 385, 2387, 581, 1946, 10266, 431, 5442, 43223, 4116, 270, 225, 88, 76, 73, 724, 9049, 292, 16904, 290, 225, 88, 76, 73, 724, 6619, 2268, 292, 2474, 19658, 18, 225, 43223, 4116, 270, 2387, 225, 69, 1577, 326, 3544, 396, 1325, 2736, 5954, 13, 581, 1946, 12776, 16, 290, 1708, 2387, 5631, 326, 1040, 292, 522, 1560, 10851, 18, 225, 1728, 3198, 36593, 385, 6069, 225, 69, 15701, 16, 517, 385, 906, 32852, 291, 1201, 2772, 2148, 345, 5981, 950, 286, 3289, 706, 17242, 292, 522, 2171, 16, 290, 1736, 522, 4463, 935, 335, 2373, 2971, 522, 2371, 291, 48652, 18, 225, 557, 1408, 286, 225, 88, 76, 73, 1577, 16, 225, 88, 76, 73, 2646, 568, 2626, 225, 69, 591, 88, 76, 17, 4577, 16981, 16, 2613, 2387, 291, 3283, 17, 4577, 431, 6130, 9660, 18, 203, 203, 3591, 568, 203, 9937, 8506, 292, 9715, 11585, 15547, 291, 43223, 4116, 270, 2307, 16, 16904, 203, 203, 1987, 203, 203, 3257, 2477, 203, 21823, 321, 758, 19751, 5595, 2916, 2343, 1637, 203, 203, 42, 13044, 325, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 291, 16904, 203, 34193, 11067, 325, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 291, 16904, 203, 9937, 8506, 292, 9715, 11585, 291, 43223, 4116, 270, 2307, 16, 16904, 203, 29898, 6564, 291, 16904, 203, 5953, 6682, 25773, 6564, 291, 16904, 203, 21912, 290, 6495, 3500, 291, 1946, 10266, 203, 21912, 290, 6495, 291, 2474, 19658, 16, 16904, 203, 2419, 10266, 9011, 291, 16904, 203, 30065, 290, 46958, 291, 16904, 2, 0, 1759, 1021, 333, 13692, 322, 12893, 319, 1655, 77, 349, 267, 47931, 7436, 3049, 16, 568, 1712, 359, 5839, 334, 320, 16, 318, 225, 69, 20118, 5813, 3559, 2558, 383, 2349, 24210, 16, 16016, 18, 601, 318, 225, 69, 39968, 3559, 292, 16016, 1495, 292, 13975, 3790, 18, 203, 203, 6355, 1563, 203, 521, 9080, 385, 724, 5292, 359, 225, 69, 20118, 18225, 346, 225, 88, 76, 73, 1565, 689, 8019, 3390, 292, 13975, 3790, 16, 2349, 24210, 6, 291, 6336, 18, 557, 2987, 16, 357, 1981, 754, 225, 69, 5671, 2874, 13363, 290, 385, 14070, 359, 225, 69, 3559, 18, 203, 203, 30895, 14618, 1563, 203, 16207, 334, 320, 2221, 1737, 11566, 292, 4860, 291, 5813, 3064, 16, 3055, 291, 279, 358, 1813, 26602, 1374, 30, 203, 47424, 291, 47931, 7436, 396, 39381, 291, 47214, 7436, 13, 203, 47424, 291, 47931, 7436, 396, 39381, 291, 25263, 7436, 13, 203, 47424, 291, 47931, 7436, 396, 39381, 291, 23902, 9601, 7436, 13, 203, 47424, 291, 47931, 7436, 396, 39381, 291, 577, 8107, 7436, 13, 203, 47424, 291, 12834, 290, 14085, 7436, 203, 203, 19948, 3754, 1563, 203, 12408, 87, 225, 69, 1241, 292, 2863, 3084, 3577, 291, 225, 88, 76, 73, 5671, 16, 3055, 291, 279, 358, 1813, 26602, 1374, 30, 203, 14794, 3586, 203, 14407, 779, 4668, 203, 25263, 3586, 203, 11910, 3586, 203, 5739, 290, 12297, 3586, 203, 980, 93, 1082, 203, 7741, 13950, 18, 6643, 203, 6610, 3586, 203, 528, 71, 354, 76, 1082, 203, 203, 19948, 5209, 203, 203, 32106, 5209, 1563, 203, 16207, 334, 320, 504, 5896, 5209, 326, 709, 2497, 1463, 18, 29103, 405, 41148, 6844, 326, 4062, 290, 4750, 1463, 371, 1349, 291, 11734, 4767, 18, 409, 6646, 11, 6582, 43931, 326, 1060, 8428, 1463, 290, 225, 88, 76, 73, 4469, 11, 6582, 5631, 1060, 8536, 1463, 18, 203, 203, 26697, 1563, 203, 521, 3559, 504, 11609, 286, 2500, 3897, 15218, 291, 1631, 292, 5662, 9571, 290, 2621, 8275, 326, 709, 1463, 290, 6752, 18, 203, 203, 1987, 1563, 203, 21629, 712, 3621, 291, 16016, 203, 11953, 3034, 27596, 292, 16016, 203, 5953, 296, 2186, 291, 16016, 203, 8766, 9011, 291, 16016, 203, 27379, 6297, 3178, 291, 2987, 203, 5953, 296, 2186, 16878, 286, 16016, 1495, 292, 13975, 3790, 2, 0, 18190, 46841, 468, 396, 4644, 1188, 16, 20567, 696, 2494, 832, 16, 9403, 13, 385, 279, 1644, 3559, 2746, 2946, 290, 3561, 18, 731, 3220, 359, 225, 88, 76, 73, 1357, 2746, 3561, 383, 11697, 1495, 291, 4365, 16, 389, 18, 39, 18, 423, 17003, 286, 17138, 16, 36174, 225, 69, 1514, 292, 2272, 1180, 3732, 1180, 23, 18, 203, 203, 15857, 72, 468, 385, 3157, 291, 11224, 290, 5789, 527, 291, 5402, 18, 731, 5801, 27187, 1495, 16, 827, 458, 2533, 2746, 359, 279, 991, 423, 18369, 286, 17339, 18, 9931, 522, 13633, 291, 17003, 16, 458, 385, 6568, 1357, 3561, 291, 2746, 290, 2414, 383, 11697, 18, 1979, 2176, 806, 383, 11697, 16, 46841, 468, 3230, 325, 286, 6093, 2361, 1495, 291, 17555, 286, 548, 359, 7964, 2746, 3561, 811, 9560, 395, 18, 17829, 290, 1708, 13331, 18578, 36081, 3757, 18, 46841, 468, 3413, 10502, 806, 383, 6093, 2361, 16, 1154, 573, 595, 385, 568, 1357, 3561, 291, 18902, 16, 2414, 16, 290, 16629, 290, 279, 10935, 7682, 292, 1489, 16, 3287, 2528, 16, 290, 14841, 18, 557, 12812, 16 ]

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

[ 991, 527, 29264, 290, 225, 88, 76, 73, 15435, 459, 2454, 427, 279, 874, 8249, 1715, 1584, 313, 18, 203, 2628, 16, 357, 3177, 286, 554, 292, 225, 88, 76, 73, 6715, 6566, 314, 427, 45895, 17, 264, 901, 532, 286, 313, 18, 1605, 17375, 7106, 1303, 286, 1015, 16, 14458, 18, 996, 357, 318, 1334, 664, 313, 961, 19538, 388, 2745, 691, 544, 424, 2454, 1943, 398, 965, 388, 3897, 1342, 225, 69, 8579, 16, 313, 424, 39815, 9458, 345, 313, 3229, 286, 427, 225, 69, 8128, 1552, 724, 286, 11170, 313, 18, 1218, 16, 905, 544, 4260, 519, 836, 291, 16, 313, 905, 1788, 8020, 290, 2037, 524, 292, 519, 836, 290, 449, 3466, 26777, 587, 18, 203, 4280, 1477, 16, 871, 7313, 398, 3993, 318, 6887, 1796, 18, 5634, 13508, 2971, 624, 650, 357, 318, 715, 313, 290, 1690, 10761, 318, 2454, 12662, 17, 11475, 93, 18, 203, 1905, 225, 88, 76, 73, 2536, 1806, 2971, 573, 442, 2535, 318, 1653, 16, 2330, 499, 286, 203, 1553, 14828, 37742, 203, 3113, 291, 30, 39925, 290, 22269, 203, 8209, 2272, 16, 2730, 203, 26763, 30, 2636, 2272, 16, 2730, 1025, 30, 7988, 714, 203, 11663, 371, 4595, 18, 203, 16910, 20465, 999, 4023, 999, 7219, 6023, 203, 5637, 2812, 203, 5548, 10066, 6766, 10066, 11474, 14595, 12463, 10512, 21507, 203, 5637, 2812, 2861, 203, 39047, 203, 47736, 3569, 396, 4425, 27, 13, 203, 7097, 4318, 290, 22269, 396, 26332, 13, 203, 41303, 9577, 290, 5630, 24314, 44534, 396, 1878, 22, 13, 203, 21290, 1007, 396, 41440, 13, 203, 47573, 44534, 396, 4299, 21, 13, 203, 47929, 2619, 4829, 396, 3859, 26, 13, 203, 17358, 2722, 870, 44534, 396, 2, 0, 9694, 524, 225, 88, 76, 73, 602, 3008, 16, 408, 427, 652, 1376, 541, 1406, 286, 3140, 6912, 291, 531, 25435, 3528, 17, 1792, 225, 88, 76, 73, 1054, 1216, 290, 1482, 225, 88, 76, 73, 910, 5133, 326, 531, 2076, 16, 13860, 531, 9686, 16, 39606, 15849, 326, 1216, 1036, 290, 660, 16, 3923, 531, 2076, 1297, 1877, 16, 14199, 961, 23334, 2136, 290, 7247, 346, 12709, 28351, 290, 8387, 18, 203, 5632, 16, 1154, 442, 2675, 8965, 16, 314, 1033, 408, 427, 225, 88, 76, 73, 2516, 286, 6563, 531, 12147, 346, 1907, 290, 2276, 346, 531, 6583, 2960, 290, 3366, 18, 314, 2837, 326, 3000, 16, 952, 314, 714, 23921, 968, 225, 69, 1889, 1054, 915, 286, 6592, 670, 318, 1142, 1263, 291, 551, 969, 18, 314, 714, 1336, 313, 427, 345, 3122, 286, 502, 357, 1154, 442, 5176, 1569, 18, 2, 0, 2598, 554, 1570, 388, 1378, 408, 352, 315, 479, 652, 7349, 282, 431, 18759, 49961, 272, 18, 601, 882, 339, 10008, 4840, 292, 3492, 426, 16, 26631, 25026, 16, 388, 3915, 874, 4780, 9381, 18, 1218, 4817, 357, 318, 1102, 544, 371, 479, 4613, 18, 2894, 371, 225, 88, 76, 73, 1136, 910, 39349, 49961, 272, 1801, 18, 203, 39, 329, 669, 1473, 6852, 426, 203, 829, 16566, 16, 797, 8805, 12560, 13570, 286, 984, 36048, 12580, 18, 409, 724, 11730, 385, 292, 225, 69, 1840, 2448, 42574, 225, 69, 1275, 292, 9868, 3492, 426, 18, 601, 385, 225, 88, 76, 73, 724, 292, 2176, 3635, 16, 18973, 1712, 359, 225, 88, 76, 73, 27872, 669, 1473, 3492, 426, 18, 1108, 7345, 3295, 1418, 326, 1579, 806, 16, 346, 798, 13447, 624, 359, 4840, 326, 225, 88, 76, 73, 8016, 292, 3492, 426, 18, 409, 1361, 1500, 5471, 225, 69, 49144, 28332, 450, 346, 225, 69, 2448, 3249, 31517, 694, 13775, 18, 409, 3635, 643, 16080, 431, 1579, 20828, 1198, 3227, 16, 596, 928, 544, 984, 786, 5649, 292, 961, 11458, 18, 409, 46142, 669, 1473, 3492, 426, 2524, 225, 69, 1171, 292, 22378, 291, 225, 88, 76, 73, 3261, 18, 1218, 544, 26240, 423, 4923, 819, 225, 88, 76, 73, 10754, 87, 18, 601, 385, 770, 291, 225, 88, 76, 73, 6336, 87, 345, 357, 385, 6807, 359, 225, 69, 49961, 18, 8984, 806, 819, 357, 1698, 16, 225, 88, 76, 73, 797, 4469, 2912, 10582, 544, 643, 715, 20248, 2150, 17, 5129, 292, 3492, 426, 18, 4536, 544, 643, 40001, 438, 345, 225, 88, 76, 73, 8511, 290, 2243, 1500, 3461, 352, 88, 11458, 18, 1108, 1230, 928, 357, 2719, 1229, 3492, 426, 18, 203, 521, 3865, 1542, 12713, 203, 521, 761, 286, 10043, 318, 279, 6717, 8373, 290, 225, 69, 26691, 15102, 696, 517, 357, 1698, 706, 359, 715, 554, 292, 225, 88, 76, 73, 798, 8061, 39349, 49961, 272, 18, 409, 8373, 318, 345, 225, 88, 76, 73, 8670, 4970, 1912, 33535, 225, 69, 8120, 541, 2413, 698, 225, 88, 76, 73, 5803, 345, 357, 8267, 754, 698, 10043, 18, 409, 8120, 385, 928, 286, 339, 291, 42874, 18, 332, 6039, 3692, 385, 21537, 2413, 698, 225, 88, 76, 73, 8120, 16, 827, 357, 6701, 527, 225, 88, 76, 73, 5113, 292, 8233, 292, 17854, 961, 35242, 18, 738, 6039, 3952, 2678, 754, 3298, 3798, 9278, 291, 225, 88, 76, 73, 3283, 5000, 87, 16, 346, 798, 18342, 357, 286, 339, 4840, 292, 225, 69, 20514, 286, 10043, 18, 1218, 225, 88, 76, 73, 6039, 385, 4619, 1100, 286, 339, 12240, 1986, 3912, 423, 225, 69, 10547, 10586, 3648, 18, 601, 385, 225, 69, 2315, 49961, 18, 1238, 371, 798, 1046, 6963, 292, 225, 88, 76, 73, 8373, 18, 557, 7884, 16, 279, 1644, 8450, 7619, 225, 69, 1891, 345, 29391, 3544, 644, 5588, 225, 69, 1275, 292, 26637, 1434, 225, 88, 76, 73, 8120, 18, 203, 521, 25249, 23701, 203, 521, 25249, 8789, 385, 554, 292, 225, 88, 76, 73, 745, 3141, 39349, 49961, 272, 291, 2084, 18, 557, 225, 88, 76, 73, 22461, 87, 16, 225, 69, 563, 3249, 4426, 25668, 2267, 225, 69, 11458, 35313, 696, 543, 5655, 225, 69, 11458, 35313, 292, 225, 69, 8789, 18, 731, 857, 11002, 225, 88, 76, 73, 8789, 325, 522, 23999, 3558, 291, 25249, 16, 1063, 2229, 18, 557, 30379, 16, 225, 88, 76, 73, 8789, 385, 5476, 431, 4540, 19062, 225, 69, 761, 325, 225, 88, 76, 73, 3558, 18, 6143, 292, 225, 88, 76, 73, 8789, 2678, 3952, 16, 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, 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, 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 ]

[ 1545, 691, 313, 813, 286, 1419, 1344, 18, 203, 521, 724, 318, 16, 1656, 318, 6867, 541, 1263, 35, 7583, 16, 6867, 352, 87, 225, 69, 1149, 292, 26681, 654, 2123, 2247, 1816, 16, 388, 3463, 16, 326, 225, 69, 2247, 2396, 325, 398, 1637, 18, 1366, 786, 2669, 670, 595, 292, 225, 88, 76, 73, 927, 388, 670, 1868, 717, 371, 291, 16, 650, 544, 352, 264, 7367, 16, 313, 424, 339, 1100, 16, 313, 352, 264, 1792, 345, 4539, 16, 290, 629, 292, 357, 459, 991, 527, 20827, 698, 3019, 18, 203, 521, 1358, 1957, 286, 4499, 1344, 318, 6524, 398, 5269, 2503, 18, 1108, 22264, 225, 88, 76, 73, 2247, 326, 479, 15025, 18, 1366, 650, 313, 764, 383, 225, 88, 76, 73, 11065, 16, 544, 352, 264, 279, 8192, 832, 18, 25, 5256, 3577, 3298, 2798, 16, 290, 3549, 352, 87, 2247, 1877, 326, 45313, 318, 19376, 8159, 1666, 352, 87, 10593, 1188, 18, 27, 524, 292, 1136, 5, 1666, 352, 87, 279, 2910, 1873, 18, 203, 2702, 715, 961, 325, 660, 2747, 352, 88, 1796, 18, 2097, 2067, 318, 1995, 5, 4020, 4600, 18, 27, 9, 292, 717, 2920, 325, 2067, 554, 16, 3060, 286, 12669, 5067, 38012, 18, 203, 521, 2630, 1957, 318, 39464, 225, 88, 76, 73, 6867, 4769, 286, 1419, 1344, 18, 203, 3134, 292, 624, 318, 8820, 12550, 18, 3439, 1361, 7574, 1817, 10593, 225, 69, 1148, 9, 8680, 291, 22975, 16, 3060, 286, 11083, 23121, 18, 1366, 313, 813, 286, 744, 1336, 398, 1637, 11986, 2823, 18, 203, 521, 1358, 909, 314, 813, 313, 286, 764, 383, 318, 9663, 13864, 10192, 18, 7583, 16, 225, 88, 76, 73, 1319, 292, 717, 345, 371, 1249, 3494, 4089, 318, 13246, 1191, 527, 18, 1366, 940, 541, 345, 3549, 504, 225, 69, 3494, 17, 14081, 9052, 18, 203, 521, 1358, 6139, 345, 314, 813, 313, 286, 764, 383, 318, 5051, 607, 11979, 18, 409, 543, 3301, 345, 313, 499, 698, 325, 1040, 2111, 1060, 225, 88, 76, 73, 1150, 5361, 16, 225, 88, 76, 73, 1317, 313, 352, 264, 1191, 286, 991, 527, 11652, 18, 11464, 308, 691, 313, 499, 1142, 3416, 290, 1702, 225, 69, 1171, 292, 7152, 5974, 16, 517, 313, 943, 352, 88, 499, 291, 17, 13405, 325, 479, 292, 624, 18, 203, 6050, 6139, 318, 423, 357, 352, 87, 479, 581, 12024, 35064, 18, 409, 2736, 398, 12024, 4980, 16, 225, 88, 76, 73, 3151, 398, 16342, 371, 18, 1366, 313, 813, 286, 1209, 398, 12024, 1700, 290, 286, 225, 88, 76, 73, 1570, 18, 203, 6050, 909, 286, 764, 383, 318, 11979, 17, 39539, 18, 18250, 6373, 16, 225, 88, 76, 73, 2736, 398, 2094, 16, 225, 88, 76, 73, 543, 1670, 7644, 313, 352, 264, 1191, 286, 991, 527, 1792, 16, 290, 225, 88, 76, 73, 1317, 313, 352, 264, 1191, 286, 991, 527, 1870, 18, 203, 7023, 20032, 371, 1378, 1388, 6139, 18, 1009, 359, 313, 424, 821, 423, 442, 7690, 431, 36470, 427, 543, 292, 279, 2707, 325, 398, 16342, 720, 1507, 17, 7910, 6867, 31, 345, 352, 87, 1792, 3345, 286, 1547, 286, 313, 16, 357, 352, 87, 2739, 1263, 18, 203, 2702, 554, 909, 345, 823, 1162, 6867, 87, 764, 383, 318, 225, 88, 76, 73, 1420, 292, 2211, 290, 3041, 12110, 18, 409, 403, 17, 27387, 292, 3549, 1912, 928, 16, 616, 4877, 1352, 371, 225, 88, 76, 73, 3125, 16, 449, 225, 88, 76, 73, 2163, 1076, 616, 4877, 1352, 371, 708, 313, 3879, 524, 225, 88, 76, 73, 42262, 9231, 1076, 203, 4280, 1477, 2848, 318, 225, 69, 1388, 2809, 359, 761, 16, 541, 313, 813, 286, 744, 1336, 313, 352, 264, 1249, 279, 25498, 16229, 16, 541, 345, 836, 313, 623, 345, 50007, 18, 4626, 650, 717, 499, 286, 398, 1622, 290, 313, 352, 264, 449, 1249, 25498, 16, 313, 352, 264, 543, 2648, 286, 623, 225, 69, 10240, 18, 203, 10616, 9273, 4859, 26022, 10713, 290, 39046, 15900, 1294, 21228, 286, 6867, 16, 1838, 318, 6867, 16, 1838, 318, 6867, 35, 1294, 21228, 286, 6867, 9829, 225, 69, 3465, 203, 1833, 286, 27472, 279, 6867, 17143, 291, 2079, 203, 7800, 3843, 16, 2079, 2427, 1124, 16, 2079, 431, 10814, 203, 829, 442, 2983, 16, 314, 352, 81, 1191, 286, 4866, 313, 708, 313, 424, 1620, 279, 6867, 3106, 18, 203, 7236, 314, 352, 635, 1877, 346, 313, 551, 3925, 286, 4242, 279, 6867, 3106, 291, 2079, 18, 314, 352, 81, 1191, 286, 1877, 346, 313, 670, 2181, 292, 13354, 16, 3707, 16, 290, 1246, 313, 659, 286, 427, 286, 1142, 1973, 479, 581, 2247, 2396, 13316, 18, 2952, 1848, 398, 1622, 16, 2484, 2094, 16, 290, 1792, 398, 2477, 524, 660, 286, 4608, 325, 3549, 18, 203, 521, 724, 909, 203, 6687, 659, 286, 502, 318, 744, 1336, 313, 3736, 1246, 6867, 16, 313, 22782, 502, 357, 16, 290, 313, 22782, 623, 877, 383, 357, 18, 203, 521, 1361, 909, 16, 203, 6687, 659, 286, 502, 318, 917, 527, 225, 69, 1622, 18, 2144, 286, 49889, 18, 3735, 388, 290, 917, 527, 398, 884, 1622, 18, 601, 882, 339, 225, 69, 2535, 16, 882, 339, 225, 69, 15245, 2517, 16, 357, 2087, 352, 88, 2669, 18, 1666, 352, 87, 715, 225, 88, 76, 73, 724, 909, 313, 659, 286, 502, 18, 8864, 398, 884, 1622, 16, 313, 1825, 352, 88, 688, 708, 286, 3250, 803, 14131, 16, 2651, 16, 388, 623, 877, 383, 357, 18, 203, 521, 2630, 909, 203, 6687, 659, 286, 502, 318, 3279, 2094, 18, 1605, 313, 427, 398, 1622, 16, 691, 313, 943, 352, 88, 427, 2094, 16, 313, 352, 264, 449, 11416, 4608, 18, 1099, 225, 88, 76, 73, 3902, 3177, 16, 2094, 318, 6199, 18, 8155, 1035, 2094, 325, 4817, 313, 352, 264, 7807, 581, 18, 203, 521, 5837, 909, 203, 340, 313, 659, 286, 1127, 2477, 18, 1605, 357, 1822, 286, 1848, 2477, 16, 691, 786, 554, 352, 87, 18674, 286, 398, 1622, 16, 313, 1825, 352, 88, 4608, 18, 203, 7683, 16, 650, 313, 949, 1059, 5488, 16, 313, 424, 1353, 9348, 353, 698, 601, 352, 635, 984, 313, 479, 225, 88, 76, 73 ]

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

[ 325, 12152, 4488, 20413, 16, 2341, 1004, 17, 36994, 14878, 388, 11178, 31967, 28617, 16, 19335, 431, 409, 7876, 16616, 3850, 383, 6852, 9481, 49804, 4488, 20413, 18, 44381, 5582, 466, 438, 16, 5012, 3019, 6678, 16, 28739, 46126, 36903, 4343, 16, 8407, 279, 49958, 32395, 19505, 28184, 754, 3040, 16, 2413, 8296, 16, 365, 38901, 225, 88, 76, 73, 13962, 326, 225, 69, 42424, 5489, 3220, 6035, 17, 2552, 431, 6852, 9481, 49804, 4488, 20413, 21234, 18, 1515, 225, 69, 35600, 32395, 19505, 17636, 1808, 4488, 20413, 1641, 87, 352, 3599, 87, 16, 225, 69, 40604, 4090, 292, 2069, 7370, 290, 41511, 2883, 27773, 325, 225, 88, 76, 73, 609, 1752, 18, 203, 36339, 20948, 398, 962, 286, 3140, 519, 3203, 346, 225, 88, 76, 73, 3736, 2190, 290, 21573, 374, 355, 33117, 9897, 1185, 383, 6852, 9481, 49804, 4488, 20413, 18, 46249, 532, 431, 225, 69, 7215, 11527, 16, 544, 352, 635, 1973, 286, 8588, 11706, 290, 4065, 7861, 5681, 326, 11025, 1489, 16, 6277, 3380, 290, 29107, 1635, 290, 13906, 18, 203, 36978, 12466, 286, 1973, 543, 581, 225, 88, 76, 73, 374, 355, 33117, 9897, 203, 6948, 30, 28729, 45319, 1039, 8423, 18, 203, 36235, 290, 225, 88, 76, 73, 28729, 10236, 16, 8808, 203, 2091, 225, 88, 76, 73, 24889, 292, 4488, 8808, 16, 225, 88, 76, 73, 2183, 290, 9415, 16, 6301, 15655, 292, 8041, 16, 16176, 346, 225, 88, 76, 73, 280, 434, 4442, 15025, 292, 225, 88, 76, 73, 28729, 10236, 290, 30643, 2401, 2795, 345, 318, 28729, 11856, 16, 917, 225, 88, 76, 73, 3232, 326, 10105, 3901, 345, 459, 20448, 398, 1174, 14970, 286, 6319, 519, 3240, 18, 22234, 1140, 519, 12985, 346, 1004, 17, 6553, 7366, 383, 10696, 10551, 290, 12775, 18421, 383, 10640, 5068, 12546, 18, 203, 36235, 318, 225, 69, 11204, 326, 18049, 16, 7432, 3901, 326, 17617, 3074, 16, 4009, 10389, 2530, 326, 36465, 6717, 11511, 290, 225, 69, 9858, 17382, 4573, 345, 22448, 709, 32512, 1486, 18, 1542, 4336, 398, 962, 524, 292, 519, 2565, 14206, 16, 4037, 624, 346, 279, 30403, 17, 7633, 16, 2988, 17, 5023, 15526, 17469, 1509, 225, 88, 76, 73, 13332, 12538, 352, 87, 2874, 11596, 45851, 16, 33360, 2803, 1330, 527, 18, 30243, 16, 1357, 2593, 326, 8071, 6400, 13299, 290, 23564, 4858, 292, 225, 88, 76, 73, 1830, 383, 12630, 16, 225, 88, 76, 73, 7460, 38933, 5009, 18, 203, 2598, 4725, 1398, 16, 279, 13967, 2614, 5828, 2226, 1060, 225, 88, 76, 73, 1830, 346, 8041, 41144, 19416, 954, 9752, 459, 949, 398, 962, 286, 225, 88, 76, 73, 1830, 352, 87, 1174, 5068, 290, 5939, 28151, 16, 423, 225, 88, 76, 73, 640, 18, 13166, 7098, 290, 225, 88, 76, 73, 2398, 7940, 292, 8808, 16, 286, 41126, 290, 225, 88, 76, 73, 10988, 4010, 18, 6575, 225, 88, 76, 73, 927, 346, 225, 69, 31148, 17, 12745, 291, 225, 88, 76, 73, 13385, 12754, 4010, 16, 225, 69, 2090, 9715, 10361, 16, 827, 3074, 424, 3534, 658, 3617, 20700, 290, 7666, 18201, 290, 14344, 16, 290, 4167, 225, 88, 76, 73, 39754, 16, 16838, 290, 953, 14735, 345, 1695, 225, 88, 76, 73, 23431, 4524, 10800, 7399, 18, 203, 12, 32116, 13, 15526, 17469, 16, 8041, 999, 4623, 30, 13332, 12538, 396, 14902, 13, 28729, 2086, 47352, 999, 4623, 30, 28729, 11856, 17843, 203, 37, 1700, 3054, 423, 225, 88, 76, 73, 1830, 4917, 398, 1275, 286, 225, 88, 76, 73, 28729, 10236, 352, 87, 11860, 6405, 33494, 16, 10831, 7366, 290, 225, 88, 76, 73, 20789, 17, 10986, 28729, 11856, 18, 5051, 2281, 699, 459, 339, 2405, 1796, 286, 1156, 225, 88, 76, 73, 4826, 423, 225, 88, 76, 73, 41511, 9026, 325, 279, 36465, 28729, 2086, 47352, 352, 45509, 286, 225, 88, 76, 73, 11856, 2226, 18, 203, 34240, 15368, 318, 14932, 286, 631, 18230, 650, 398, 16527, 87, 371, 15570, 4673, 286, 225, 88, 76, 73, 3442, 352, 87, 1174, 33494, 16, 48932, 291, 18722, 4858, 292, 225, 88, 76, 73, 225, 88, 76, 28866, 9026, 290, 225, 88, 76, 73, 21870, 3442, 1509, 225, 88, 76, 73, 836, 16, 290, 10063, 2196, 225, 88, 76, 73, 25398, 291, 28729, 17, 263, 17, 88, 76, 73, 17, 25881, 326, 6805, 36543, 292, 3325, 17, 10466, 11264, 290, 3558, 17, 273, 17, 2490, 15520, 18, 203, 14459, 87, 424, 23040, 346, 225, 69, 7775, 4064, 8889, 225, 88, 76, 73, 26590, 383, 363, 7481, 36105, 16, 3938, 431, 225, 69, 2226, 16, 18502, 9606, 291, 1032, 16, 8407, 31866, 37734, 296, 16, 6961, 3372, 16, 11467, 37734, 296, 16366, 954, 46131, 36903, 4343, 18, 557, 225, 88, 76, 73, 12052, 29277, 16, 5891, 225, 69, 3706, 286, 398, 9081, 14970, 346, 225, 69, 2879, 3558, 17, 273, 17, 2490, 5368, 14988, 346, 363, 7481, 352, 87, 9800, 9831, 1079, 16, 3938, 431, 225, 69, 19340, 292, 519, 3325, 17, 10466, 4746, 40720, 291, 519, 7460, 39104, 23448, 17, 3381, 1136, 15841, 12168, 40720, 24165, 18, 203, 36978, 12466, 286, 821, 225, 88, 76, 73, 15526, 17469, 1185, 291, 2797, 203, 8611, 225, 88, 76, 73, 3603, 346, 443, 203, 35380, 4303, 3522, 352, 87, 3729, 9752, 962, 318, 398, 6408, 326, 8071, 3901, 1808, 3522, 18, 203, 19977, 2815, 590, 6426, 2439, 18, 5991, 999, 1970, 13812, 829, 21103, 203, 26544, 1456, 1039, 446, 16, 4136, 16, 42980, 437, 8734, 203, 96, 3303, 23, 17, 29, 3859, 17, 7068, 9946, 203, 7717, 543, 6782, 291, 36903, 3522, 352, 87, 5251, 30605, 42980, 437, 10192, 10256, 310, 17, 2009, 18, 409, 1358, 14696, 16, 1392, 56, 12141, 352, 290, 1392, 6580, 637, 11919, 371, 915, 6807, 383, 39104, 1992, 353, 356, 18, 5991, 19, 6426, 2439, 2, 0, 2428, 4844, 225, 69, 6073, 1598, 22820, 16, 724, 2410, 706, 225, 88, 76, 73, 1420, 286, 357, 18, 996, 225, 88, 76, 73, 6073, 1598, 22820, 318, 291, 225, 69, 15615, 2454, 571, 36859, 225, 88, 76, 73, 15615, 18, 996, 225, 88, 76, 73, 6073, 1598, 22820, 318, 291, 225, 69, 10946, 388, 2832, 1598, 21649, 857, 2410, 1420, 706, 383, 225, 88, 76, 73, 20198, 18399, 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, 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 ]

[ 458, 644, 797, 2314, 10851, 31, 6130, 17131, 2850, 298, 4628, 16, 596, 2154, 225, 69, 9936, 47843, 16, 290, 4426, 38179, 2850, 298, 4628, 596, 2154, 279, 6666, 291, 225, 88, 76, 73, 5138, 11212, 26766, 18, 203, 203, 1987, 203, 203, 2419, 10559, 4686, 203, 49859, 5850, 203, 12808, 717, 292, 3911, 17, 24629, 12107, 203, 21094, 8220, 7765, 292, 225, 88, 76, 73, 3395, 26740, 9515, 203, 21094, 8220, 7765, 292, 225, 88, 76, 73, 23215, 3646, 9515, 203, 21094, 8220, 30218, 886, 2, 0, 36618, 34301, 3585, 396, 3640, 2698, 3843, 16, 14732, 873, 568, 1712, 359, 13653, 332, 16, 318, 279, 1644, 10711, 596, 5789, 527, 291, 11366, 16, 16511, 290, 318, 2750, 2354, 291, 15294, 16, 10647, 18, 203, 203, 829, 9644, 16, 34301, 3585, 385, 225, 69, 11303, 2260, 292, 225, 88, 76, 73, 11988, 3539, 2804, 47790, 423, 21182, 16, 3470, 16, 573, 2765, 7280, 26676, 16, 12567, 43241, 16, 14948, 5110, 396, 49444, 9644, 13, 290, 12369, 18965, 396, 49444, 9644, 1180, 11233, 859, 557, 225, 88, 76, 73, 5969, 87, 16, 458, 2533, 359, 225, 69, 7182, 10711, 16, 857, 3989, 4117, 14253, 9383, 11, 332, 22926, 321, 46806, 8018, 290, 385, 568, 225, 69, 2260, 292, 12567, 43241, 526, 46740, 32125, 18, 731, 504, 2267, 225, 69, 2692, 292, 2353, 9459, 326, 3852, 955, 359, 3432, 7040, 44082, 16, 4584, 374, 18, 5110, 16, 290, 5075, 8379, 2196, 1761, 18, 34301, 3585, 504, 3055, 388, 795, 17, 14507, 3943, 326, 13585, 37948, 290, 12164, 6529, 18, 731, 3500, 225, 69, 1909, 326, 38094, 6978, 526, 6984, 18, 34301, 3585, 568, 19072, 346, 9640, 6429, 325, 225, 69, 3208, 292, 16130, 13313, 9430, 1456, 225, 88, 76, 73, 16419, 292, 15915, 291, 7601, 18, 203, 203, 37, 1270, 3585, 24154, 423, 8764, 870, 46005, 16, 517, 4774, 286, 5417, 18, 203, 203, 15303, 203, 203, 28159, 203, 203, 2691, 47790, 4327, 10156, 1524, 425, 23505, 28959, 574, 203, 9644, 3628, 6555, 2519, 203, 8694, 14904, 10192, 203, 7601, 6223, 994, 342, 203, 203, 46489, 4327, 8338, 6110, 13471, 19010, 203, 7752, 30343, 203, 203, 2691, 12567, 43241, 4327, 9483, 12182, 5785, 291, 225, 88, 76, 73, 22462, 203, 9403, 2699, 6532, 4504, 3428, 30, 4855, 18, 377, 203, 8973, 2699, 6532, 4504, 3428, 30, 4855, 18, 384, 203, 8694, 2699, 6532, 4504, 3428, 30, 4855, 18, 685, 203, 5969, 6326, 292, 4903, 203, 8338, 5004, 4277, 203, 203, 1624, 641, 292, 4117, 14253, 9383, 954, 332, 22926, 321, 46806, 8018, 4327, 8169, 332, 4627, 30220, 16, 225, 69, 20891, 954, 225, 69, 22926, 321, 46806, 8018, 203, 7601, 9228, 526, 47053, 203, 7196, 18638, 203, 6890, 409, 5194, 12430, 203, 4597, 30892, 366, 292, 225, 69, 22926, 321, 46806, 332, 22926, 321, 46806, 8018, 770, 203, 203, 28582, 983, 2016, 4327, 6890, 38348, 587, 292, 5004, 203, 6485, 1605, 29692, 11978, 514, 30, 332, 39382, 286, 8732, 42035, 225, 69, 13882, 286, 8732, 42035, 203, 5725, 12897, 2203, 30439, 30, 1294, 16950, 11, 39382, 286, 225, 88, 76, 73, 18638, 292, 5660, 6215, 8969, 9173, 225, 69, 13882, 286, 8969, 9173, 203, 203, 1624, 641, 292, 7280, 8379, 954, 409, 12512, 17018, 299, 4327, 2730, 421, 7025, 902, 203, 2489, 24209, 286, 225, 88, 76, 73, 10189, 637, 396, 7795, 31, 359, 7280, 8379, 954, 225, 88, 76, 73, 6929, 10597, 17018, 299, 13, 203, 203, 1987, 203, 203, 3257, 2477, 9664, 203, 28298, 4686, 203, 6004, 717, 203, 4387, 4062, 7956, 203, 4387, 15405, 203, 36471, 423, 15294, 16, 10647, 203, 5013, 423, 8146, 46214, 2307, 16, 16511, 203, 37, 22926, 321, 46806, 8018, 1592, 203, 58, 6869, 396, 3376, 13, 1592, 203, 17676, 8379, 954, 409, 12512, 17018, 299, 1592, 2, 0, 56, 4981, 783, 3188, 286, 30, 203, 203, 5013, 203, 203, 8830, 31098, 203, 18448, 546, 2306, 94, 316, 4981, 396, 44634, 1180, 15929, 873, 7169, 1712, 1158, 5989, 3773, 359, 316, 4981, 16, 22797, 26773, 16361, 290, 3984, 1010, 203, 8012, 23678, 6876, 287, 396, 29747, 1180, 18313, 873, 19966, 316, 4981, 16, 5280, 12207, 666, 2818, 8128, 16, 31578, 16, 290, 11430, 203, 56, 4981, 396, 37611, 262, 16, 3157, 14063, 873, 1444, 1565, 428, 5065, 80, 1077, 22978, 16, 13613, 2746, 2540, 203, 38406, 4652, 4102, 396, 3640, 13811, 873, 32524, 316, 4981, 819, 522, 3223, 16, 8286, 4651, 346, 13043, 37137, 203, 56, 4981, 396, 37611, 262, 16, 3157, 14164, 873, 1444, 1565, 316, 4981, 19692, 14437, 14115, 27268, 16, 14271, 12796, 203, 56, 4981, 396, 37611, 262, 16, 3157, 6336, 873, 1444, 1565, 26659, 22821, 3514, 10999, 486, 319, 484, 69, 16, 14271, 12796, 203, 56, 4981, 396, 37611, 262, 16, 3157, 1589, 9644, 873, 1444, 1565, 33907, 41984, 40958, 16, 5706, 12796, 203, 56, 4981, 396, 37611, 262, 16, 3157, 2382, 9644, 873, 1444, 1565, 30171, 8697, 13225, 1129, 337, 89, 4195, 16, 5706, 12796, 203, 203, 12937, 1565, 203, 40861, 316, 4981, 396, 3640, 10679, 873, 1644, 18830, 290, 28281, 203, 33000, 2336, 2570, 293, 901, 316, 4981, 396, 2455, 2288, 1180, 2455, 13604, 873, 34274, 13005, 203, 23447, 6407, 316, 4981, 396, 1758, 7068, 1180, 29340, 873, 5224, 13005, 203, 11276, 316, 4981, 396, 3640, 10708, 873, 1063, 5911, 13243, 2946, 203, 23176, 13308, 80, 316, 4981, 396, 3640, 7248, 873, 34274, 12796, 203, 55, 10098, 1623, 316, 4981, 396, 2173, 5805, 1180, 2455, 6834, 873, 5224, 1524, 866, 472, 13005, 203, 6539, 2951, 17673, 316, 4981, 396, 3640, 14541, 873, 15399, 570, 3451, 4115, 203, 203, 20263, 1565, 203, 203, 37, 1180, 48, 203, 56, 4981, 45002, 396, 32795, 1180, 21029, 873, 24191, 1782, 7063, 203, 56, 4981, 957, 1812, 2713, 83, 396, 35547, 1180, 9578, 873, 23202, 7063, 290, 10711, 203, 56, 4981, 10148, 262, 396, 3640, 10842, 873, 14196, 29548, 10711, 203, 56, 4981, 3006, 30726, 43143, 396, 3640, 10584, 873, 849, 4759, 16517, 10711, 203, 56, 4981, 3614, 343, 13225, 396, 3640, 11995, 873, 31968, 29696, 203, 56, 4981, 4022, 768, 666, 1720, 396, 32240, 1180, 8454, 873, 24191, 3232, 290, 13319, 3962, 203, 56, 4981, 45912, 367, 6435, 16, 3109, 20958, 6826, 38380, 27485, 5193, 13324, 203 ]

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

[ 225, 88, 76, 73, 3010, 292, 8572, 18, 1900, 29981, 6773, 4545, 18, 290, 225, 88, 76, 73, 1403, 4694, 30, 48695, 5775, 319, 8978, 85, 11372, 2562, 225, 88, 76, 73, 18893, 8312, 292, 2361, 326, 8381, 290, 225, 88, 76, 73, 48695, 5775, 316, 16114, 478, 32875, 2562, 225, 88, 76, 73, 18893, 8312, 292, 2361, 326, 225, 88, 76, 73, 20217, 4778, 10703, 225, 88, 76, 73, 1504, 8886, 290, 225, 88, 76, 73, 4694, 18, 409, 8895, 13456, 345, 1465, 385, 279, 2516, 326, 717, 286, 1303, 1511, 291, 8572, 346, 955, 1403, 4694, 290, 11245, 225, 88, 76, 73, 9216, 292, 1491, 4848, 423, 2532, 290, 12980, 15345, 13592, 286, 374, 1130, 1811, 18349, 352, 87, 1924, 18, 38610, 225, 69, 2358, 423, 1491, 8204, 42843, 32938, 4907, 16, 660, 643, 1598, 32276, 290, 4766, 292, 3379, 286, 2774, 346, 609, 1491, 4848, 290, 1504, 10392, 18, 409, 1465, 385, 2404, 291, 225, 88, 76, 73, 30796, 8867, 423, 1148, 286, 1188, 18, 1878, 3288, 18, 389, 3723, 291, 522, 3222, 15015, 16, 42340, 425, 76, 7544, 332, 3471, 3683, 352, 87, 4320, 346, 798, 717, 1154, 225, 88, 76, 73, 10349, 4064, 18, 203, 9152, 74, 425, 76, 32465, 225, 69, 1773, 298, 10183, 31921, 383, 225, 88, 76, 73, 16859, 203, 15459, 1676, 281, 1548, 203, 5956, 8226, 203, 10796, 3797, 203, 37, 3471, 3683, 19526, 19938, 203, 7007, 3797, 203, 45222, 10860, 26182, 203, 10954, 326, 30, 203, 10954, 203, 16672, 5032, 203, 48274, 203, 48274, 12671, 10772, 2427, 2079, 396, 22, 13, 2494, 2079, 396, 21, 13, 2636, 1910, 396, 21, 13, 2209, 1910, 396, 21, 13, 2827, 1910, 396, 21, 13, 2427, 1920, 396, 21, 13, 2262, 1920, 396, 26, 13, 1589, 1920, 396, 21, 13, 2698, 2153, 396, 21, 13, 2636, 2153, 396, 21, 13, 2485, 2153, 396, 24, 13, 2355, 2153, 396, 21, 13, 2494, 2153, 396, 21, 13, 2262, 2286, 396, 21, 13, 1589, 2286, 396, 22, 13, 2494, 2286, 396, 21, 13, 2382, 2451, 396, 21, 13, 1589, 2451, 396, 21, 13, 2262, 2489, 396, 21, 13, 1589, 2616, 396, 21, 13, 2355, 2616, 396, 21, 13, 2698, 2730, 396, 22, 13, 2429, 2730, 396, 23, 13, 2382, 2730, 396, 22, 13, 2262, 2730, 396, 21, 13, 2429, 2855, 396, 21, 13, 2427, 2862, 396, 21, 13, 2698, 3008, 396, 21, 13, 2382, 3008, 396, 21, 13, 2262, 3008, 396, 22, 13, 2827, 3008, 396, 21, 13, 2494, 3008, 396, 21, 13, 2485, 2987, 396, 21, 13, 2427, 2987, 396, 22, 13, 2355, 2987, 396, 22, 13, 2485, 3384, 396, 21, 13, 2209, 3384, 396, 21, 13, 2485, 3486, 396, 22, 13, 2209, 3486, 396, 21, 13, 2698, 3868, 396, 21, 13, 2636, 3868, 396, 21, 13, 2427, 3868, 396, 21, 13, 2382, 3868, 396, 25, 13, 1589, 3868, 396, 21, 13, 2494, 3868, 396, 21, 13, 2698, 4109, 396, 21, 13, 2636, 4109, 396, 22, 13, 2485, 4109, 396, 26, 13, 2427, 4109, 396, 28, 13, 203, 10616, 203, 37, 4513, 203, 29593, 203, 13480, 203, 18740, 203, 31959, 203, 33450, 203, 8826, 203, 15459, 1676, 281, 1548, 203, 10436, 69, 203, 10213, 291, 203, 6685, 2901, 3294, 203, 11663, 3294, 203, 40848, 18, 3735, 203, 12823, 849, 77, 2, 0, 6453, 566, 1227, 524, 31333, 325, 225, 88, 76, 73, 1063, 2229, 9371, 12865, 6987, 3602, 16, 346, 225, 69, 12917, 8055, 15018, 291, 1128, 292, 1619, 18, 203, 521, 10696, 6987, 7706, 29436, 325, 5855, 1608, 346, 225, 88, 76, 73, 4140, 12977, 394, 1828, 431, 1063, 2229, 1627, 9049, 7300, 46223, 1608, 326, 2219, 17055, 819, 225, 69, 4093, 797, 17, 10309, 28807, 383, 225, 88, 76, 73, 2988, 292, 225, 88, 76, 73, 17579, 4311, 17, 916, 4707, 18, 203, 3018, 943, 352, 88, 2649, 225, 88, 76, 73, 3602, 286, 339, 5162, 346, 709, 6456, 27979, 290, 36468, 292, 17008, 292, 17055, 30903, 698, 225, 88, 76, 73, 8899, 12977, 388, 1648, 509, 15145, 1079, 292, 14604, 5179, 225, 88, 76, 73, 3602, 325, 37651, 1477, 18, 1078, 915, 16, 225, 88, 76, 73, 6303, 7084, 2747, 352, 88, 5048, 291, 2573, 5177, 16, 1315, 2155, 17763, 345, 427, 941, 16496, 225, 88, 76, 73, 1952, 1388, 4590, 423, 225, 88, 76, 73, 3602, 18, 203, 1624, 326, 225, 88, 76, 73, 17055, 345, 502, 1303, 785, 7157, 16, 544, 1381, 3934, 11757, 16, 3307, 2158, 1502, 7478, 16, 2651, 1670, 16408, 290, 371, 8553, 431, 283, 2143, 337, 10276, 18, 20627, 76, 1073, 4284, 352, 88, 12875, 18, 203, 521, 12375, 292, 225, 88, 76, 73, 29990, 325, 225, 69, 1868, 1146, 24308, 4311, 17, 916, 13323, 290, 5850, 2747, 352, 88, 2970, 325, 6303, 7084, 3296, 38980, 31954, 18, 31954, 1698, 359, 279, 24341, 325, 225, 88, 76, 73, 3602, 785, 291, 7752, 290, 504, 23247, 225, 88, 76, 73, 13260, 1608, 633, 3223, 385, 568, 225, 69, 4146, 7891, 6724, 18, 409, 941, 17, 2378, 6303, 7084, 6678, 4953, 670, 225, 88, 76, 73, 29990, 292, 225, 88, 76, 73, 5697, 3602, 819, 4375, 2141, 955, 359, 225, 88, 76, 73, 2427, 1814, 7509, 290, 47199, 16538, 20009, 1817, 286, 225, 88, 76, 73, 1502, 383, 1648, 18, 203, 1109, 1266, 352, 87, 595, 326, 443, 286, 894, 286, 27295, 531, 5303, 16, 286, 894, 286, 27295, 3146, 16, 517, 286, 502, 357, 41894, 290, 286, 502, 357, 346, 1995, 408, 352, 315, 4148, 581, 442, 7156, 290, 708, 286, 3613, 5094, 431, 10962, 1761, 1060, 443, 1395, 31954, 2705, 21981, 10637, 352, 87, 409, 3440, 10964, 16, 1027, 6159, 225, 69, 12917, 8055, 18, 616, 2628, 1027, 408, 371, 29990, 16, 357, 318, 449, 785, 286, 932, 359, 6456, 1076, 203, 4888, 20092, 9933, 2640, 8352, 43634, 2964, 9197, 4986, 15252, 50079, 5130, 23985, 11828, 5429, 36871, 696, 1063, 2229, 2361, 9049, 7300, 46223, 27881, 409, 22520, 8746, 286, 1031, 225, 88, 76, 73, 6947, 29990, 292, 6303, 7084, 6987, 3602, 325, 5855, 16, 1589, 3538, 16, 1920, 16, 291, 1063, 2229, 18, 1063, 2229, 2361, 9049, 7300, 46223, 12027, 409, 22520, 8746, 346, 1063, 2229, 9371, 12865, 3296, 38980 ]

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

[ 345, 1302, 203, 6, 1641, 6, 11130, 225, 88, 76, 73, 2735, 12, 87, 13, 345, 979, 449, 18086, 345, 1302, 203, 203, 34897, 7690, 203, 1200, 2760, 770, 14175, 326, 21867, 6925, 325, 225, 69, 3222, 3303, 17, 6262, 5259, 18, 409, 10422, 423, 1302, 1025, 371, 30139, 286, 548, 325, 225, 88, 76, 73, 1150, 5259, 16, 290, 225, 88, 76, 73, 2709, 2697, 423, 225, 88, 76, 73, 38760, 8976, 371, 449, 2765, 18, 203, 203, 14584, 984, 2840, 203, 203, 15150, 377, 396, 2455, 2494, 13, 203, 3348, 2358, 30, 689, 54, 25777, 1498, 225, 69, 48282, 6, 1641, 12921, 48325, 954, 409, 8769, 13107, 5955, 18, 27631, 2570, 392, 3447, 396, 520, 12947, 431, 1968, 37061, 13, 203, 6, 14564, 14097, 6, 1641, 22365, 25719, 396, 520, 12947, 431, 1968, 37061, 13, 203, 203, 15150, 384, 396, 3859, 2494, 13, 203, 5900, 8259, 30, 4808, 40361, 203, 3348, 2358, 30, 689, 38579, 5263, 6, 1641, 30704, 2539, 396, 520, 12947, 431, 1968, 37061, 13, 203, 4808, 40361, 954, 11312, 2358, 30, 689, 43363, 291, 225, 88, 76, 73, 7525, 346, 37974, 6, 1641, 9152, 1077, 2212, 203, 203, 13125, 286, 14816, 17432, 31665, 225, 69, 15899, 30502, 16, 14816, 954, 19811, 3905, 1919, 985, 1312, 442, 1302, 18, 203, 203, 16843, 2339, 46830, 203, 54, 567, 954, 41220, 3070, 287, 94, 30, 689, 6179, 7137, 1641, 30928, 20361, 5955, 18, 19811, 263, 528, 5876, 292, 46147, 5, 383, 225, 88, 76, 73, 42173, 203, 8878, 954, 14701, 30, 689, 46600, 26202, 6, 1641, 21635, 42317, 1077, 203, 21495, 2186, 11, 10362, 286, 3450, 203, 26962, 9064, 30, 395, 567, 954, 41220, 3070, 287, 94, 203, 49, 349, 3187, 30, 395, 567, 954, 41220, 3070, 287, 94, 203, 35869, 30, 395, 567, 954, 41220, 3070, 287, 94, 203, 18711, 40361, 30, 8968, 449, 659, 286, 6158, 517, 703, 427, 8151, 395, 567, 954, 41220, 3070, 287, 94, 203, 203, 15150, 685, 396, 1878, 2494, 13, 203, 23148, 30, 23010, 203, 5900, 8259, 30, 11312, 203, 203, 13125, 286, 556, 5928, 5034, 476, 31665, 225, 69, 11214, 7919, 392, 16, 556, 5928, 954, 316, 39685, 1919, 985, 1312, 442, 1302, 18, 203, 203, 16843, 2339, 46830, 203, 29743, 954, 19811, 3905, 30, 689, 16291, 828, 2861, 6, 1641, 31506, 332, 203, 54, 567, 954, 41220, 3070, 287, 94, 30, 689, 6179, 7137, 1641, 30928, 20361, 5955, 18, 19811, 263, 528, 5876, 292, 46147, 5, 383, 225, 88, 76, 73, 42173, 203, 21495, 2186, 11, 10362, 286, 3450, 203, 26962, 9064, 30, 14816, 954, 19811, 3905, 203, 49, 349, 3187, 30, 14816, 954, 19811, 3905, 203, 18711, 40361, 30, 14816, 954, 19811, 3905, 203, 35869, 30, 8968, 449, 659, 286, 6158, 517, 703, 427, 8151, 14816, 954, 19811, 3905, 203, 203, 15150, 832, 396, 26, 2827, 13, 203, 23148, 30, 9963, 203, 5900, 8259, 30, 4808, 40361, 203, 3348, 2358, 30, 689, 2282, 582, 6, 1641, 19761, 694, 21888, 396, 520, 12947, 431, 41220, 3070, 287, 94, 395, 4954, 40828, 93, 1572, 77, 290, 28489, 44460, 4929, 16, 291, 13882, 286, 14693, 16738, 3155, 203, 1099, 27377, 2850, 1586, 2201, 7548, 3314, 326, 4311, 17, 916, 442, 1302, 16, 9580, 14253, 4192, 6096, 950, 359, 2737, 7709, 4621, 7777, 477, 6096, 4532, 20979, 2742, 359, 34393, 18, 203, 29376, 954, 28489, 643, 1966, 286, 1312, 724, 442, 1302, 16, 2375, 1966, 286, 29376, 8754, 290, 6112, 522, 21802, 291, 2651, 981, 225, 88, 76, 73, 1766, 984, 16, 14816, 954, 19811, 3905, 4604, 724, 3043, 18, 409, 2677, 1708, 4604, 16577, 517, 4325, 225, 88, 76, 73, 1150, 11586, 1319, 644, 458, 4561, 724, 18, 203, 203, 16843, 2339, 46830, 203, 14816, 954, 19811, 3905, 30, 689, 16291, 828, 2861, 6, 1641, 31506, 332, 203, 556, 5928, 954, 316, 39685, 30, 689, 55, 752, 88, 2088, 6, 1641, 30949, 954, 11068, 203, 21495, 2186, 11, 10362, 286, 3450, 203, 26962, 9064, 30, 556, 5928, 954, 316, 39685, 203, 49, 349, 3187, 30, 556, 5928, 954, 316, 39685, 203, 35869, 30, 556, 5928, 954, 316, 39685, 203, 18711, 40361, 30, 8968, 449, 659, 286, 6158, 517, 703, 427, 8151, 556, 5928, 954, 316, 39685, 203, 203, 15150, 848, 396, 2721, 2827, 13, 203, 23148, 30, 393, 40748, 1228, 203, 5900, 8259, 30, 11312, 203, 4808, 40361, 954, 11312, 2358, 30, 689, 14609, 9963, 346, 2339, 6, 1641, 17095, 43851, 203, 203, 16843, 2339, 46830, 203, 556, 5928, 954, 316, 39685, 30, 689, 55, 752, 88, 2088, 6, 1641, 30949, 954, 11068, 203, 17164, 954, 6632, 30, 689, 26940, 262, 6, 1641, 11039, 1630, 42212, 203, 21495, 2186, 11, 10362, 286, 3450, 203, 26962, 9064, 30, 556, 5928, 954, 316, 39685, 203, 49, 349, 3187, 30, 17164, 954, 6632, 203, 18711, 40361, 30, 556, 5928, 954, 316, 39685, 203, 35869, 30, 556, 5928, 954, 316, 39685, 203, 203, 15150, 1025, 396, 825, 2827, 13, 203, 23148, 30, 2051, 17806, 203, 18185, 8259, 30, 957, 21656, 17993, 203, 5900, 8259, 30, 4808, 40361, 203, 3348, 2358, 30, 2060, 6763, 6487, 1641, 8494, 10421, 38332, 396, 446, 13, 203, 5510, 5281, 5985, 30, 689, 22999, 6, 1641, 8494, 11554, 203, 203, 13125, 286, 30550, 38803, 4653, 3314, 326, 4311, 17, 916, 16, 32527, 12723, 4604, 346, 19811, 3905, 15576, 3676, 326, 442, 1302, 18, 203, 203, 16843, 2339, 46830, 203, 40319, 954, 21069, 30, 689, 6056, 1507, 6, 1641, 14402, 32238, 203, 22081, 954, 5712, 30, 689, 988, 2463, 6487, 2864, 1397, 7422, 6, 1641, 521, 20846, 38125, 203, 21495, 2186, 11, 10362, 286, 3450, 203, 26962, 9064, 30, 22081, 954, 5712, 203, 49, 349, 3187, 30, 22081, 954, 5712, 203, 42279, 1901, 30, 22081, 954, 5712, 203, 35869, 30, 8968, 449, 659, 286, 6158, 517, 703, 427, 8151, 22081, 954, 5712, 203, 18711, 40361, 30, 8968, 449, 659, 286, 6158, 517, 703, 427, 8151, 22081, 954, 5712, 203, 203, 15150, 1148, 396, 4219, 2827, 13, 203, 23148, 30, 22399, 6168, 203, 5900, 8259, 30, 11312, 203, 3348, 2358, 30, 689, 33870, 6, 1641, 17577, 11070, 19, 6, 26725, 2097, 10744, 6, 1641, 55, 567, 396, 520, 12947, 431, 1968, 37061, 290, 453, 2018, 44262, 3187 ]

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

[ 731, 3500, 2272, 7691, 40662, 1104, 39260, 346, 522, 745, 3051, 291, 2987, 18, 409, 724, 7691, 40662, 20305, 2897, 543, 720, 2313, 21758, 290, 915, 13147, 5699, 377, 16, 1318, 5579, 1040, 602, 18, 203, 521, 724, 7691, 40662, 20305, 291, 12812, 18, 396, 21521, 30, 7691, 40662, 20305, 21508, 20164, 40662, 20305, 13, 203, 5753, 225, 69, 602, 2922, 286, 225, 88, 76, 73, 724, 7691, 40662, 20305, 16, 573, 13983, 1906, 346, 225, 88, 76, 73, 2377, 1510, 40662, 16, 660, 643, 715, 2272, 1638, 39260, 2404, 1808, 225, 88, 76, 73, 1868, 290, 449, 479, 292, 624, 3842, 1778, 286, 1177, 16, 3060, 286, 528, 8239, 18, 24695, 3998, 568, 1825, 225, 88, 76, 73, 18124, 7691, 40662, 291, 12812, 18, 24695, 3998, 3904, 291, 2616, 1027, 8121, 1387, 471, 2750, 2654, 291, 41921, 18, 203, 8404, 76, 574, 352, 87, 4370, 290, 10180, 2654, 325, 16, 359, 225, 88, 76, 73, 15292, 88, 76, 7691, 40662, 20305, 318, 6931, 326, 2427, 1124, 16, 1910, 18, 2, 0, 1833, 42696, 39828, 5908, 7379, 488, 225, 88, 76, 73, 10744, 291, 225, 69, 26831, 6187, 4378, 1832, 18134, 1287, 42696, 39828, 5908, 7379, 488, 225, 88, 76, 73, 10744, 291, 225, 69, 26831, 6187, 24487, 21766, 696, 22658, 290, 9290, 203, 12997, 9526, 5634, 6757, 326, 26433, 4851, 326, 10779, 35548, 7331, 203, 1833, 42696, 39828, 5908, 7379, 488, 225, 88, 76, 73, 10744, 203, 3113, 325, 2427, 384, 16, 2489, 431, 13491, 203, 829, 442, 1244, 314, 352, 81, 1191, 286, 1842, 581, 708, 14949, 31013, 3491, 225, 88, 76, 73, 1657, 18, 4433, 623, 823, 4572, 650, 313, 1842, 581, 1249, 32626, 286, 723, 398, 1657, 18, 2591, 717, 40001, 3448, 9476, 286, 624, 16, 1015, 624, 225, 69, 18241, 290, 5653, 225, 88, 76, 73, 616, 4294, 1571, 550, 1816, 1060, 225, 69, 1171, 18, 13926, 459, 1842, 313, 1132, 706, 581, 479, 292, 225, 88, 76, 73, 3772, 1228, 345, 32626, 427, 1772, 326, 624, 658, 225, 88, 76, 73, 806, 18, 2519, 225, 88, 76, 73, 836, 16, 314, 5942, 1656, 225, 69, 42046, 318, 225, 69, 877, 909, 291, 290, 1367, 1244, 18, 203, 45, 4148, 581, 32626, 16, 1315, 14949, 31013, 715, 658, 1136, 806, 2376, 290, 427, 652, 1249, 624, 11438, 1801, 1364, 18, 314, 5151, 1246, 624, 18, 3783, 352, 87, 821, 691, 313, 459, 5536, 346, 530, 431, 225, 88, 76, 73, 991, 292, 442, 1244, 18, 203, 1833, 2335, 42696, 39828, 5908, 8961, 35, 203, 1926, 371, 225, 69, 1162, 3872, 1656, 313, 1380, 813, 286, 3934, 225, 69, 14949, 23537, 388, 225, 69, 14949, 3304, 2804, 18, 409, 745, 6911, 2157, 318, 691, 313, 427, 1334, 1191, 325, 291, 398, 15899, 345, 313, 813, 286, 949, 1028, 292, 18, 203, 1989, 551, 2845, 643, 10951, 16, 715, 981, 408, 1698, 1249, 32626, 16, 314, 36116, 551, 716, 2032, 281, 317, 11422, 7652, 291, 1119, 6728, 8227, 624, 16, 2586, 286, 623, 624, 286, 2377, 15539, 291, 225, 88, 76, 73, 4579, 18, 409, 716, 2032, 281, 317, 11422, 318, 225, 88, 76, 73, 4218, 7652, 313, 787, 286, 2206, 1334, 527, 16, 664, 225, 69, 3706, 286, 3258, 18, 1832, 8447, 1204, 11527, 1740, 357, 225, 88, 76, 73, 6921, 7981, 7652, 18, 203, 45, 5996, 551, 724, 14949, 31013, 286, 17012, 345, 10568, 541, 345, 314, 882, 787, 551, 36997, 1342, 15282, 18, 1108, 2406, 10892, 18, 1366, 225, 88, 76, 73, 724, 3466, 286, 616, 5408, 14949, 31013, 3491, 225, 88, 76, 73, 1657, 550, 318, 345, 544, 723, 286, 4046, 225, 88, 76, 73, 8700, 291, 398, 15899, 541, 345, 544, 424, 11143, 18, 203, 7339, 4348, 7819, 290, 640, 1691, 203, 45, 943, 352, 88, 427, 724, 17, 5920, 1185, 346, 442, 16, 517, 357, 1822, 423, 225, 69, 823, 5800, 3481, 18, 2591, 717, 427, 225, 69, 2163, 827, 519, 2988, 15223, 225, 69, 1171, 18, 1108, 424, 3934, 225, 69, 14949, 23537, 388, 14949, 3304, 2804, 325, 519, 15899, 290, 225, 69, 14949, 20163, 1060, 519, 6032, 286, 3881, 225, 88, 76, 73, 21726, 18, 314, 385, 2705, 345, 357, 2016, 2838, 28441, 18, 203, 45, 427, 652, 2705, 345, 442, 770, 2016, 691, 313, 427, 1119, 225, 69, 14949, 20163, 290, 225, 69, 14949, 23537, 18, 601, 352, 87, 3543, 449, 225, 69, 7428, 3125, 517, 874, 225, 69, 1308, 1889, 292, 723, 318, 1334, 18, 314, 943, 352, 88, 2731, 286, 427, 479, 225, 88, 76, 73, 6966, 326, 708, 442, 2016, 16, 517, 314, 502, 427, 225, 69, 1162, 5221, 272, 18, 203, 3134, 7091, 318, 345, 225, 88, 76, 73, 14949, 1962, 383, 225, 88, 76, 73, 716, 2032, 274, 283, 2143, 308, 396, 77, 82, 398, 6032, 827, 225, 88, 76, 73, 19759, 326, 398, 5167, 1303, 524, 292, 398, 20571, 12640, 13, 290, 383, 225, 88, 76, 73, 15899, 33276, 14971, 3431, 444, 1133, 624, 754, 398, 5167, 18, 203, 19487, 575, 2097, 7330, 203, 45, 1033, 225, 88, 76, 73, 910, 3466, 286, 708, 14949, 31013, 3491, 225, 88, 76, 73, 1657, 318, 291, 19290, 398, 1657, 352, 87, 2183, 18, 996, 313, 427, 3737, 383, 7942, 6853, 383, 479, 857, 313, 371, 3293, 292, 225, 88, 76, 73, 2183, 3434, 333, 1947, 2681, 754, 398, 1657, 18, 15622, 292, 624, 2459, 1922, 388, 991, 291, 398, 2988, 16, 541, 2333, 292, 398, 1657, 352, 87, 2183, 7515, 1290, 754, 398, 15899, 18, 203, 37, 877, 14949, 23537, 388, 14949, 3304, 2804, 459, 427, 543, 720, 554, 20807, 325, 357, 541, 345, 544, 1582, 225, 69, 14949, 1962, 345, 13652, 775, 754, 398, 15899, 18, 3273, 225, 88, 76, 73, 2183, 7076, 754, 225, 88, 76, 73, 3434, 333, 1947, 291, 398, 5167, 459, 339, 6438, 431, 345, 14949, 1962, 18, 203, 37, 14949, 1962, 12697, 225, 88, 76, 73, 2183, 345, 9609, 754, 357, 18, 1666, 318, 1709, 286, 7912, 18, 996, 357, 1919, 352, 88, 548, 345, 836, 857, 313, 5120, 352, 88, 339, 2576, 442, 952, 345, 318, 708, 398, 1420, 1250, 18754, 8573, 18, 203, 1833, 286, 5577, 42696, 39828, 5908, 203 ]

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

[ 76, 73, 21824, 459, 339, 14048, 225, 88, 76, 73, 2669, 291, 8572, 18, 203, 521, 42305, 427, 1772, 2896, 1229, 286, 3613, 24804, 11136, 2798, 18, 409, 1627, 292, 1931, 1571, 544, 2463, 2267, 318, 4721, 7714, 1300, 388, 10750, 491, 2923, 21420, 1947, 290, 519, 3366, 1227, 286, 7038, 7176, 18, 203, 10608, 225, 88, 76, 73, 42305, 11, 541, 17, 11314, 1118, 326, 24804, 11136, 16, 2896, 504, 3716, 18, 707, 459, 339, 9299, 225, 88, 76, 73, 2669, 1001, 291, 2361, 8572, 650, 357, 32563, 18, 203, 8678, 11979, 203, 28171, 886, 11, 12171, 1404, 24789, 8844, 203, 521, 3838, 13187, 290, 11665, 292, 21420, 1947, 1060, 1496, 286, 24804, 11136, 318, 961, 42984, 431, 6478, 6566, 2563, 423, 225, 88, 76, 73, 5425, 18, 203, 36666, 18731, 6021, 999, 5739, 16879, 999, 2357, 2011, 2451, 203, 43962, 1404, 24789, 203, 5698, 225, 88, 76, 73, 1843, 797, 806, 16, 225, 88, 76, 73, 10135, 290, 7073, 8953, 427, 959, 225, 69, 1319, 292, 10635, 6322, 286, 43937, 21420, 1947, 596, 8413, 325, 24804, 11136, 18, 203, 36666, 18731, 6021, 999, 31837, 22658, 999, 1519, 9588, 2489, 203, 2793, 3688, 42587, 326, 12171, 1404, 46183, 4158, 1143, 203, 1926, 371, 2750, 3533, 596, 2245, 7176, 290, 33272, 658, 519, 3009, 11136, 12860, 290, 787, 291, 28834, 292, 225, 88, 76, 73, 2151, 8522, 1496, 8386, 18, 203, 36666, 18731, 6021, 999, 5739, 16879, 999, 1519, 9588, 2489, 2, 0, 37, 8493, 1793, 325, 14625, 16319, 290, 1892, 41584, 346, 37386, 16891, 21804, 5838, 32527, 331, 560, 1473, 774, 11634, 4837, 5606, 203, 24400, 286, 2094, 203, 8, 20, 18, 564, 13626, 203, 31763, 203, 6604, 203, 5270, 203, 14613, 203, 16218, 203, 44396, 203, 18740, 203, 5637, 203, 6520, 3586, 203, 9807, 203, 23756, 203, 6604, 203, 5270, 203, 14613, 203, 16218, 203, 44396, 203, 18740, 203, 5637, 203, 6520, 3586, 203, 9807, 203, 10954, 203, 21173, 203, 37, 8493, 1793, 325, 14625, 16319, 290, 1892, 41584, 346, 37386, 16891, 21804, 5838, 32527, 331, 560, 1473, 203, 3462, 43566, 15725, 203, 7675, 3498, 16, 2079, 203, 44396, 203, 29705, 16891, 45486, 32527, 331, 560, 1473, 318, 225, 69, 26592, 292, 225, 88, 76, 73, 30581, 3260, 3990, 5606, 573, 8448, 291, 225, 88, 76, 73, 27869, 325, 225, 88, 76, 73, 2980, 292, 2494, 3275, 16, 4589, 18, 32527, 318, 554, 292, 2701, 1592, 596, 14468, 423, 225, 88, 76, 73, 1174, 3602, 292, 225, 69, 832, 17, 16764, 7431, 1848, 325, 430, 18, 1946, 28, 88, 76, 640, 18, 34117, 17, 18838, 2039, 1708, 16, 458, 4415, 286, 1444, 8414, 4709, 819, 225, 69, 38599, 290, 648, 31918, 6381, 423, 225, 88, 76, 73, 3287, 290, 4613, 7474, 458, 15178, 359, 225, 69, 1873, 292, 522, 941, 2377, 18, 409, 2883, 439, 41436, 8021, 225, 88, 76, 73, 2654, 292, 1220, 1592, 292, 225, 88, 76, 73, 37386, 16891, 696, 7612, 18878, 30592, 9497, 16, 33349, 2212, 23521, 91, 290, 7612, 7804, 4504, 31212, 12271, 18, 203, 521, 3570, 313, 459, 1696, 291, 442, 5268, 292, 225, 88, 76, 73, 11634, 4837, 5606, 14808, 2614, 6751, 10833, 18325, 6650, 32527, 385, 4997, 291, 2153, 383, 225, 69, 45285, 42, 6751, 10833, 14805, 291, 45237, 16, 10495, 18, 409, 1465, 385, 11797, 286, 225, 88, 76, 73, 4175, 292, 16868, 16, 15564, 5587, 225, 88, 76, 73, 2537, 16, 616, 10475, 4687, 650, 408, 748, 286, 1419, 290, 4973, 3740, 1542, 723, 18436, 4715, 6063, 326, 1040, 15250, 5519, 16, 45285, 42, 17967, 10505, 4806, 94, 2268, 290, 9263, 2737, 43566, 15725, 7544, 519, 24257, 9805, 819, 225, 88, 76, 73, 1465, 16, 573, 313, 459, 1696, 2922, 286, 225, 88, 76, 73, 3570, 18, 203, 8723, 30, 409, 9263, 5268, 568, 2626, 22059, 2883, 2503, 42784, 423, 225, 88, 76, 73, 3260, 3990, 2883, 291, 225, 88, 76, 73, 27869, 18, 332, 1816, 292, 18133, 286, 531, 18436, 16, 225, 88, 76, 73, 42784, 371, 7873, 290, 9295, 18, 203, 32806, 2, 0, 8749, 30, 14169, 47810, 326, 18134, 203, 7158, 5458, 16, 14169, 47810, 326, 18134, 203, 5733, 551, 38320, 806, 16, 5982, 953, 290, 2695, 385, 279, 4853, 3142, 292, 225, 88, 76, 73, 4196, 1004, 5846, 286, 551, 1240, 17, 3675, 969, 18, 5504, 32743, 17, 34857, 8437, 16, 631, 2353, 6258, 16, 874, 225, 69, 28746, 24260, 326, 13376, 7979, 28897, 1641, 45, 27344, 225, 88, 76, 73, 3882, 16, 4763, 16, 3762, 16, 290, 2824, 18, 314, 5789, 527, 8755, 5982, 3762, 18, 314, 1230, 16469, 225, 88, 76, 73, 14151, 11, 50, 8558, 489, 12391, 359, 314, 20542, 225, 69, 22229, 698, 551, 5934, 396, 10217, 16, 524, 8862, 3659, 6, 7408, 336, 313, 499, 1143, 18223, 314, 5287, 670, 544, 643, 5254, 6900, 16, 1695, 16, 290, 9602, 262, 18, 203, 988, 16, 3839, 7218, 16, 541, 12950, 13230, 1995, 1353, 325, 225, 88, 76, 73, 20473, 607, 7080, 981, 443, 18, 1867, 7125, 6827, 371, 1648, 16, 290, 531, 13962, 326, 15414, 318, 25412, 1846, 290, 1541, 18, 707, 371, 14526, 20896, 286, 1702, 527, 22829, 18, 557, 225, 88, 76, 73, 3982, 16, 32593, 22829, 318, 225, 69, 11415, 1932, 18, 601, 5950, 3373, 388, 6062, 18, 1099, 940, 292, 225, 69, 2163, 359, 3080, 17, 22497, 13677, 11323, 396, 9031, 55, 13, 1582, 291, 551, 3225, 969, 16, 314, 502, 1033, 544, 12417, 530, 286, 1489, 18563, 18, 314, 1380, 449, 427, 286, 4874, 581, 225, 69, 38979, 5369, 530, 16, 517, 803, 17421, 11741, 286, 2219, 10458, 1582, 225, 69, 2343, 292, 19887, 10579, 531, 6787, 698, 225, 69, 6073, 1627, 18, 409, 6911, 2241, 423, 225, 69, 13351, 1177, 17, 77, 82, 371, 19060, 290, 23082, 16, 617, 11923, 342, 16, 14840, 19384, 16, 27815, 16, 517, 13351, 603, 6809, 87, 1700, 10328, 225, 88, 76, 73, 4807, 290, 568, 1582, 10216, 1056, 16005, 18, 12522, 2744, 17, 3381, 13236, 1641, 344, 352, 87, 1378, 18, 601, 352, 87, 3373, 388, 6062, 18, 1366, 314, 4844, 3000, 423, 6375, 359, 2415, 359, 314, 5824, 10240, 5649, 18, 1009, 2374, 383, 910, 314, 352, 635, 770, 427, 225 ]

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

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

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

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

[ 69, 9951, 49212, 4283, 19625, 69, 34, 9441, 69, 294, 17800, 22849, 73, 4957, 16483, 4740, 336, 28668, 17081, 12281, 2739, 7923, 3636, 80, 4594, 9564, 2441, 2660, 309, 7389, 19625, 69, 34, 27412, 510, 203, 32, 69, 278, 328, 8977, 16677, 19625, 69, 34, 9441, 69, 15327, 2079, 7257, 19625, 69, 34, 9441, 69, 6258, 4008, 380, 19625, 69, 34, 9441, 69, 2521, 270, 648, 10503, 19625, 69, 34, 9441, 69, 2681, 12334, 309, 1416, 11497, 1998, 262, 19625, 69, 34, 9441, 69, 1593, 3712, 633, 960, 1853, 13472, 73, 19625, 69, 34, 2, 0, 9872, 669, 325, 2746, 15889, 1228, 339, 9343, 291, 225, 88, 76, 73, 3942, 16, 313, 459, 1411, 1316, 286, 3399, 12763, 398, 2778, 291, 11728, 388, 3923, 398, 23586, 18, 10717, 346, 691, 442, 16, 660, 4176, 4203, 7393, 346, 225, 88, 76, 73, 19958, 1916, 290, 12868, 5655, 1305, 2747, 352, 88, 225, 69, 2200, 388, 650, 554, 962, 318, 3543, 225, 69, 49639, 18, 203, 28381, 16, 4499, 291, 39238, 250, 35690, 7596, 234, 49996, 229, 19142, 236, 35690, 1717, 7224, 7005, 318, 449, 9422, 479, 581, 4703, 18, 828, 568, 659, 12977, 631, 1865, 388, 691, 1801, 225, 88, 76, 73, 2592, 2946, 292, 225, 69, 2017, 962, 1825, 352, 88, 748, 479, 292, 225, 88, 76, 73, 1569, 783, 723, 313, 3965, 1040, 962, 352, 87, 7621, 292, 4499, 18, 2519, 16100, 325, 798, 5124, 326, 225, 88, 76, 73, 5717, 16, 3201, 290, 1865, 16, 313, 459, 339, 3293, 292, 573, 962, 318, 8249, 720, 1378, 290, 14672, 543, 1913, 1317, 22111, 292, 225, 88, 76, 73, 1823, 290, 5717, 18, 203, 23789, 1577, 595, 286, 1842, 318, 2838, 1263, 18, 2864, 981, 16, 388, 1154, 225, 69, 2200, 703, 8421, 371, 225, 88, 76, 73, 3660, 595, 16, 290, 357, 949, 279, 1263, 2487, 292, 12528, 9502, 225, 88, 76, 73, 2780, 18, 20984, 225, 3605, 18, 1790, 225, 88, 76, 73, 7393, 2912, 371, 568, 864, 18, 601, 783, 5449, 761, 2073, 345, 359, 279, 5190, 286, 7202, 2241, 11728, 313, 4973, 225, 69, 1171, 18, 738, 1380, 6452, 2772, 10316, 18, 203, 1266, 905, 339, 928, 345, 8336, 15296, 282, 1344, 7005, 770, 11396, 46367, 2890, 313, 2649, 423, 225, 69, 1935, 2200, 5244, 18, 9146, 1216, 325, 7202, 2587, 371, 35287, 423, 225, 88, 76, 73, 3304, 2587, 7515, 16, 225, 88, 76, 73, 1344, 1004, 1029, 300, 18, 738, 1817, 345, 313, 4973, 2896, 6185, 357, 757, 290, 568, 313, 770, 659, 286, 10804, 4320, 290, 1128, 225, 88, 76, 73, 757, 18, 203, 25487, 10849, 2586, 286, 3696, 631, 2277, 544, 459, 35361, 1182, 225, 69, 1621, 785, 6591, 291, 225, 88, 76, 73, 3352, 18, 4150, 442, 2223, 544, 371, 2586, 286, 10165, 519, 2548, 286, 225, 69, 982, 596, 961, 325, 225, 88, 76, 73, 12220, 18, 203, 1266, 3218, 664, 31350, 385, 1142, 291, 225, 88, 76, 73, 1004, 359, 513, 272, 313, 398, 1621, 352, 87, 3100, 18, 203, 7872, 225, 69, 1171, 543, 9090, 371, 4604, 291, 398, 4634, 17204, 383, 2070, 6273, 377, 1302, 18, 1078, 1792, 5751, 326, 2746, 16, 1870, 48121, 380, 981, 745, 1263, 1388, 4836, 2016, 8292, 18, 2, 0, 16991, 48976, 203, 1926, 371, 717, 479, 1060, 225, 88, 76, 73, 1004, 596, 884, 9584, 18, 2591, 1528, 1246, 1597, 9584, 291, 225, 88, 76, 73, 1577, 286, 748, 346, 18, 3791, 5975, 1508, 1597, 9584, 286, 1422, 2939, 2170, 286, 1303, 965, 286, 388, 286, 1209, 624, 1250, 18, 1238, 371, 798, 3872, 1656, 5012, 6316, 783, 813, 225, 69, 3924, 16, 359, 761, 18, 6366, 2576, 1036, 1660, 286, 942, 524, 691, 357, 783, 339, 8292, 326, 398, 13318, 3719, 554, 286, 427, 225, 69, 3924, 18, 203, 31474, 277, 13057, 26616, 203, 5997, 5012, 6316, 427, 864, 3695, 3946, 18, 996, 442, 318, 225, 88, 76, 73, 1715, 326, 398, 13318, 3719, 554, 16, 357, 318, 6513, 544, 502, 1228, 345, 723, 286, 1209, 519, 3695, 3946, 968, 388, 286, 3151, 357, 18, 2097, 13318, 3719, 554, 352, 87, 4956, 1380, 427, 624, 325, 10337, 326, 442, 18, 1790, 16, 357, 703, 568, 339, 8292, 286, 942, 2401, 2230, 286, 1209, 519, 3695, 3946, 21537, 16, 359, 761, 18, 332, 3924, 1380, 339, 225, 88, 76, 73, 3466, 18, 7625, 942, 345, 717, 596, 884, 225, 69, 3924, 1541, 427, 3151, 3695, 3946, 18, 409, 1179, 2157, 326, 442, 318, 952, 9584, 16, 955, 359, 5220, 16, 1422, 34892, 1246, 18, 996, 398, 13318, 3719, 554, 318, 325, 2928, 326, 1792, 225, 69, 3924, 16, 357, 882, 723, 27608, 346, 519, 3695, 3946, 2255, 18, 203, 3804, 30916, 42888, 203, 11656, 398, 13318, 3719, 554, 1156, 18851, 745, 292, 225, 88, 76, 73, 595, 35, 3514, 544, 5071, 2170, 596, 4361, 1576, 388, 18386, 544, 644, 2170, 1060, 543, 1541, 35, 996, 442, 318, 225, 88, 76, 73, 1715, 16, 398, 13318, 3719, 554, 1380, 1246, 286, 427, 225, 69, 3924, 18, 7710, 225, 69, 2460, 388, 225, 69, 3632, 345, 544, 424, 46145, 346, 882, 723, 286, 3881, 519, 27009, 18, 1108, 703, 339, 5192, 595, 346, 225, 88, 76, 73, 3924, 696, 2561, 346, 290, 10318, 326, 357, 18, 3747, 691, 313, 290, 965, 1028, 5275, 6382, 499, 286, 398, 13318, 3719, 554, 352, 87, 1577, 16, 1597, 225, 69, 3924, 882, 771, 286, 519, 6781, 292, 13875, 290, 1118, 6290, 18, 203, 11801, 14167, 203, 5997, 13318, 717, 4512, 286, 339, 706, 291, 519, 884, 1308, 1004, 18, 8537, 16, 442, 424, 1083, 286, 798, 4613, 16, 5875, 16, 290, 3287, 1489, 2148, 18, 996, 313, 942, 345, 398, 13318, 3719, 554, 1551, 286, 339, 225, 69, 1308, 543, 291, 225, 88, 76, 73, 1552, 16, 1597, 225, 69, 3924, 882, 3734, 624, 18, 31823, 371, 1541, 34645, 290, 35210, 93, 18, 1790, 16, 544, 424, 568, 339, 1189, 18, 996, 398, 13318, 3719, 554, 504, 225, 69, 3924, 16, 544, 703, 659, 286, 339, 660, 286, 1028, 326, 225, 88, 76, 73, 3924, 18, 203, 13721, 203, 11656, 398, 13318, 3719, 554, 659, 388, 813, 225, 69, 3924 ]

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

[ 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 3603, 325, 2441, 18, 332, 840, 5111, 388, 4586, 225, 69, 936, 388, 5828, 423, 12023, 286, 43586, 2569, 1519, 286, 2116, 2021, 325, 279, 3661, 18, 14658, 13254, 424, 1085, 20999, 10919, 423, 12023, 286, 2124, 44214, 18551, 18, 203, 1833, 424, 314, 1095, 225, 69, 3240, 286, 25887, 35, 203, 829, 1374, 286, 6784, 225, 88, 76, 73, 2792, 4580, 292, 25887, 16, 313, 659, 286, 1095, 225, 69, 832, 17, 25, 927, 3240, 18, 3728, 16, 691, 313, 1085, 225, 88, 76, 73, 910, 26084, 16, 313, 424, 4167, 225, 88, 76, 73, 910, 292, 442, 7149, 18, 2894, 352, 87, 554, 345, 313, 424, 3711, 325, 18, 1507, 927, 377, 16, 2124, 44214, 18551, 8956, 16, 1745, 17, 77, 82, 383, 225, 88, 76, 73, 4559, 16, 290, 1708, 1357, 326, 629, 33572, 1189, 18, 828, 424, 2403, 629, 1864, 12546, 1315, 43055, 274, 14823, 1315, 19784, 6565, 14636, 448, 16, 781, 274, 33004, 16, 290, 50071, 324, 18, 828, 424, 568, 1386, 225, 69, 2403, 286, 46810, 579, 31322, 10918, 18, 9365, 16, 1508, 225, 69, 9007, 79, 2895, 5111, 325, 14180, 4488, 18, 5900, 2986, 363, 1021, 12071, 321, 827, 313, 424, 2403, 4255, 387, 10918, 16, 14251, 438, 546, 6343, 19616, 16, 290, 609, 10909, 3345, 18, 4217, 785, 286, 44214, 18551, 431, 1876, 18, 2976, 685, 882, 339, 11797, 286, 24870, 5326, 75, 827, 313, 424, 2403, 225, 69, 4383, 10493, 11403, 18, 828, 783, 568, 25480, 291, 629, 4993, 2580, 691, 313, 2073, 286, 2403, 1154, 27460, 18, 7219, 927, 16, 2124, 8066, 5326, 75, 290, 36738, 291, 629, 33397, 1027, 7511, 225, 88, 76, 73, 7518, 4858, 292, 364, 21016, 10690, 31752, 18, 32734, 2986, 965, 325, 927, 848, 18, 203, 13133, 2890, 905, 11664, 2207, 291, 25887, 35, 203, 43546, 10222, 292, 25887, 16, 37460, 418, 382, 16, 1403, 20292, 81, 11989, 40365, 8325, 5934, 16, 20292, 81, 11989, 1032, 20784, 22392, 16, 18098, 12492, 10177, 664, 6805, 628, 1239, 290, 28635, 16, 290, 20292, 81, 11989, 17331, 29085, 371, 629, 292, 225, 88, 76, 73, 1381, 17, 31527, 2890, 423, 25887, 18, 203, 829, 573, 1285, 554, 424, 1508, 4993, 2580, 291, 25887, 35, 203, 2598, 225, 88, 76, 73, 991, 292, 2494, 1285, 650, 225, 88, 76, 73, 2218, 11667, 318, 4434, 346, 4993, 225, 88, 76, 73, 10909, 424, 1508, 4993, 3304, 955, 359, 4993, 16685, 16, 4993, 6428, 16, 4993, 28808, 16, 266, 2133, 2674, 18, 203, 13133, 371, 225, 88, 76, 73, 910, 3152, 286, 2403, 291, 25887, 35, 203, 4664, 292, 225, 88, 76, 73, 910, 1712, 3152, 286, 2403, 291, 25887, 371, 44214, 18551, 16, 24870, 5326, 75, 16, 8066, 5326, 75, 290, 363, 1021, 12071, 321, 18, 203, 43173, 1997, 203, 31753, 15, 15857, 1632, 28661, 203, 17826, 343, 8692, 296, 15857, 1632, 203, 44901, 300, 18511, 7819, 203, 1833, 601, 7237, 203, 21, 203, 10220, 814, 738, 21287, 203, 7872, 2684, 359, 619, 398, 2321, 1095, 954, 6341, 225, 88, 76, 73, 3472, 18, 203, 22, 203, 4378, 21719, 35338, 203, 16578, 346, 1174, 685, 8007, 16, 9538, 13261, 954, 13819, 2314, 18, 203, 23, 203, 6520, 409, 3829, 15468, 203, 11361, 291, 1709, 39555, 954, 623, 2629, 286, 1508, 398, 5176, 18, 203, 49797, 5333, 431, 531, 8734, 5822, 6346, 423, 2086, 2916, 203, 163, 229, 122, 21, 16, 11233, 21, 163, 229, 122, 22, 16, 27, 7272, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 30825, 20512, 203, 14991, 877, 203, 28, 18, 20, 203, 28707, 409, 4622, 24687, 4395, 44214, 18551, 203, 26189, 431, 8734, 14715, 16183, 203, 55, 7833, 18551, 203, 22, 6346, 423, 2086, 2916, 203, 163, 229, 122, 22, 16, 4309, 24, 163, 229, 122, 23, 16, 41777, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 30825, 20512, 203, 14991, 877, 203, 28, 18, 20, 203, 20678, 6817, 3348, 2924, 3010, 28761, 44214, 18551, 203, 26189, 431, 8734, 14715, 16183, 203, 55, 7833, 18551, 203, 23, 6346, 423, 2086, 2916, 203, 163, 229, 122, 22, 16, 33224, 163, 229, 122, 23, 16, 26, 10266, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 30825, 20512, 203, 14991, 877, 203, 28, 18, 20, 203, 28707, 1273, 9646, 12737, 44214, 18551, 203, 26189, 431, 8734, 14715, 16183, 203, 55, 7833, 18551, 203, 22, 6346, 423, 2086, 2916, 203, 163, 229, 122, 24, 16, 23116, 163, 229, 122, 26, 16, 23, 916, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 30825, 20512, 203, 22571, 203, 29, 18, 20, 203, 28707, 19828, 47910, 8066, 5326, 75, 203, 26633, 5326, 75, 203, 163, 229, 122, 25, 16, 5297, 163, 229, 122, 27, 16, 29, 4946, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 8460, 42953, 17428, 12759, 203, 30825, 20512, 203, 22571, 203, 29, 18, 20, 203, 28707, 5500, 10947, 14410, 24870, 5326, 75, 203, 43, 362, 5326, 75, 203, 3475, 6346, 423, 2086, 2916, 203, 163, 229, 122, 23, 16, 20, 6181, 163, 229, 122, 24, 16, 5858, 26, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6078, 203, 9, 43277, 203, 30825, 20512, 203, 14991, 877, 203, 28, 18, 28, 203, 28707, 14366, 43447, 203, 55, 7833, 18551, 203, 23, 6346, 423, 2086, 2916, 203, 163, 229, 122, 22, 16, 15956, 163, 229, 122, 23, 16, 29, 2173, 203, 520, 1876, 203, 8830, 25382, 15468, 203, 6036, 203, 9, 43277, 203, 30825, 20512, 203, 14991, 877, 203, 28, 18, 20, 203, 28707, 5138, 7470, 3447, 44214, 18551, 203, 55, 7833, 18551, 203, 2455, 27, 6346, 423, 2086, 2916, 203, 163, 229, 122, 21, 16, 10731, 163, 229, 122, 23, 16, 41383, 203, 520, 1876, 203, 5592, 44251, 49159, 11397, 203, 2546, 325, 286, 942, 524, 1656, 531, 2024, 1246, 443, 5, 203, 6070, 1558, 203, 36555, 526, 848, 1477, 3240, 286, 25887, 203, 23, 2039, 2376, 203, 1200, 318, 225, 88, 76, 73, 2630, 595, 314, 1837, 225, 69, 5342, 423, 8734, 32069, 18, 409, 1085, 527 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 73, 1787, 423, 3129, 44630, 37236, 335, 628, 581, 708, 286, 2395, 225, 88, 76, 73, 1819, 2200, 18, 20957, 423, 47117, 389, 4193, 55, 7509, 16, 225, 88, 76, 73, 8023, 5819, 371, 7924, 16, 290, 3665, 359, 225, 69, 14870, 345, 326, 479, 519, 4320, 16, 12555, 459, 427, 225, 69, 1406, 595, 286, 502, 543, 720, 2, 0, 6685, 868, 73, 396, 7389, 368, 45460, 346, 363, 378, 13, 10703, 286, 3045, 290, 8431, 374, 81, 1287, 272, 31, 14038, 346, 384, 6185, 4249, 292, 5169, 363, 15874, 2435, 290, 36563, 1287, 272, 203, 5704, 45, 203, 6709, 397, 3358, 203, 15434, 282, 18697, 774, 1287, 272, 5595, 25323, 774, 10754, 203, 8678, 2890, 203, 13971, 277, 2890, 3305, 431, 3525, 16, 2411, 16, 13686, 290, 3508, 18, 203, 3532, 1755, 1879, 25227, 1713, 292, 279, 21169, 11535, 42996, 30, 689, 17480, 3032, 290, 12717, 14615, 25728, 774, 1911, 18, 1148, 6, 38853, 203, 18448, 13953, 363, 4125, 396, 13656, 7545, 13159, 16, 18841, 532, 13, 203, 3532, 1755, 1879, 47719, 292, 279, 6053, 16, 2613, 423, 225, 88, 76, 73, 2927, 7545, 13159, 16, 9430, 30, 689, 17480, 3032, 290, 12717, 14615, 25728, 774, 1911, 18, 1148, 2670, 3055, 431, 4606, 13953, 363, 4125, 18, 409, 6053, 5524, 225, 88, 76, 73, 2654, 290, 9462, 10373, 292, 5442, 363, 4125, 16, 4466, 203, 41, 203, 11469, 21017, 1287, 272, 31, 5169, 363, 15874, 2435, 396, 40861, 14615, 4668, 3726, 16, 29878, 17, 2288, 17, 4309, 13, 203, 6685, 868, 73, 290, 12712, 3362, 286, 225, 88, 76, 73, 12932, 292, 34338, 1287, 272, 290, 5169, 363, 15874, 2435, 16, 4900, 3723, 286, 3045, 18, 290, 8431, 18, 5169, 1287, 272, 203, 40781, 423, 9499, 46418, 19468, 468, 286, 633, 14757, 16, 9559, 10966, 76, 203, 16359, 14507, 980, 583, 325, 26292, 282, 3612, 799, 36993, 12386, 636, 13429, 326, 225, 88, 76, 73, 17428, 38853, 203, 24979, 396, 33281, 532, 13, 203, 2793, 583, 16, 9129, 5974, 292, 5747, 290, 631, 3069, 326, 1863, 326, 225, 88, 76, 73, 17428, 31, 3055, 325, 20241, 290, 14522, 11544, 292, 2794, 18, 601, 5795, 32307, 16, 16805, 345, 4164, 4503, 371, 5071, 203, 8749, 38574, 25227, 22015, 423, 16, 225, 88, 76, 73, 2927, 7545, 13159, 16, 12386, 636, 225, 88, 76, 73, 19607, 292, 3045, 18, 290, 8431, 18, 5169, 378, 18, 45005, 38853, 203, 24979, 396, 40861, 14615, 4668, 3726, 2562, 23836, 17, 6688, 17, 3859, 13, 203, 8749, 8450, 47719, 423, 225, 88, 76, 73, 2927, 7545, 13159, 16, 5524, 225, 88, 76, 73, 9018, 292, 3045, 18, 290, 8431, 18, 5169, 378, 18, 45005, 203, 51, 4490, 1360, 292, 5169, 1558, 1896, 38853, 203, 24979, 396, 40861, 14615, 4668, 3726, 18, 61, 1170, 1242, 8506, 16, 19611, 17, 6688, 17, 825, 13, 203, 51, 4490, 1360, 292, 5169, 1558, 1896, 774, 225, 88, 76, 73, 47719, 318, 2613, 423, 225, 88, 76, 73, 577, 1170, 1242, 8506, 203, 40861, 3807, 22624, 8768, 20871, 1323, 38853, 203, 23206, 2951, 35575, 13936, 396, 33281, 532, 13, 203, 521, 41382, 318, 1188, 6, 374, 3636, 1260, 848, 19, 28, 6, 378, 3636, 19933, 6, 316, 16, 1406, 1702, 16, 346, 14522, 290, 2399, 22, 673, 17, 39520, 4503, 31, 357, 318, 291, 2365, 877, 1991, 16, 517, 629, 292, 225, 88, 76, 73, 4503, 427, 652, 13973, 524, 290, 2970, 16, 2289, 69, 8997, 1815, 203, 2943, 8768, 203, 31763, 203, 40861, 14615, 4668, 203, 17359, 203, 40861, 14615, 4668, 203, 7412, 203, 21896, 203, 14954, 2770, 4099, 27, 1366, 18, 203, 40861, 16, 9257, 16, 1669, 4299, 3456, 203, 6140, 203, 1791, 28, 17, 5831, 25, 17, 2905, 6011, 203, 45150, 318, 11643, 2519, 6350, 292, 16561, 4804, 30426, 30038, 203, 5637, 2812, 999, 17430, 29864, 203, 13822, 203, 13822, 203, 21449, 20529, 203, 1200, 19053, 290, 709, 2094, 318, 46778, 431, 225, 88, 76, 73, 16561, 14615, 4668, 16, 3726, 2562, 388, 431, 3197, 290, 609, 22077, 388, 783, 339, 1011, 78, 2, 0, 26837, 732, 6168, 1910, 318, 2636, 1188, 286, 2116, 16, 290, 408, 352, 264, 7171, 291, 325, 225, 88, 76, 73, 1189, 5, 996, 16, 286, 313, 16, 22627, 732, 318, 715, 1334, 313, 2842, 398, 31442, 7511, 16, 660, 352, 87, 541, 940, 543, 286, 1973, 290, 6118, 581, 442, 3778, 17080, 16, 290, 786, 1317, 595, 286, 623, 698, 357, 720, 915, 18, 203, 1647, 318, 22627, 732, 35, 203, 26837, 732, 318, 225, 69, 3652, 16, 35335, 4522, 423, 225, 88, 76, 73, 1856, 5058, 292, 32990, 7139, 291, 1009, 274, 434, 14544, 18, 601, 352, 87, 1036, 291, 225, 88, 76, 73, 22870, 486, 478, 510, 94, 3442, 345, 22627, 732, 318, 20784, 698, 6455, 969, 16, 359, 1263, 359, 11008, 39716, 290, 46779, 38334, 18, 203, 29168, 22627, 732, 318, 959, 423, 225, 88, 76, 73, 4843, 298, 1985, 1392, 74, 1985, 352, 21803, 16, 290, 442, 5706, 3442, 318, 225, 88, 76, 73, 770, 1128, 291, 225, 88, 76, 73, 1004, 345, 424, 37575, 6361, 2449, 16047, 524, 292, 225, 88, 76, 73, 21803, 18, 203, 1833, 22627, 732, 318, 959, 203, 48, 7530, 292, 21232, 291, 225, 69, 22627, 732, 1544, 79, 203, 15642, 2634, 203, 7347, 12856, 16, 225, 69, 1240, 2487, 292, 21803, 3720, 318, 2657, 286, 5891, 225, 88, 76, 73, 6628, 1398, 292, 225, 88, 76, 73, 4522, 18, 738, 18934, 670, 2296, 292, 22627, 732, 459, 339, 3689, 30, 393, 1985, 388, 453, 4529, 25694, 18, 453, 4529, 25694, 318, 225, 69, 3255, 14798, 290, 11706, 10650, 4522, 16, 35335, 286, 225, 69, 5711, 292, 1946, 3159, 6628, 18, 393, 1985, 504, 225, 69, 3151, 1398, 292, 4033, 2634, 16, 286, 225, 69, 5711, 292, 1583, 3159, 16, 290, 4722, 318, 1316, 286, 1118, 225, 69, 13286, 8224, 1740, 1392, 74, 4529, 6364, 4445, 9135, 225, 88, 76, 73, 12856, 22627, 732, 318, 6488, 423, 11706, 290, 288, 1769, 698, 225, 69, 12291, 16, 3255, 290, 13888, 4522, 18, 203, 28851, 7354, 1056, 203, 28851, 7354, 203, 521, 1852, 7354, 318, 225, 69, 1056, 292, 16664, 274, 23838, 290, 12856, 345, 2418 ]

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

[ 1823, 2533, 16, 225, 88, 76, 73, 874, 93, 459, 339, 9285, 5, 10390, 290, 5975, 459, 4770, 225, 88, 76, 73, 1876, 1576, 5, 203, 59, 11575, 203, 4379, 225, 88, 76, 73, 7742, 1452, 286, 15274, 3597, 286, 225, 88, 76, 73, 9232, 16, 9099, 428, 9000, 62, 61, 10988, 424, 1369, 313, 346, 225, 88, 76, 73, 3046, 1398, 292, 14697, 10890, 313, 5435, 18, 1558, 398, 4694, 459, 1508, 225, 88, 76, 73, 1876, 290, 2842, 708, 1403, 290, 3281, 225, 88, 76, 73, 1876, 385, 18, 203, 24928, 9752, 203, 11195, 326, 225, 88, 76, 73, 1819, 6560, 326, 398, 1358, 5550, 1465, 35, 7583, 786, 2314, 720, 9099, 428, 9000, 62, 61, 10988, 18, 4107, 318, 33087, 286, 225, 88, 76, 73, 26335, 290, 1551, 18, 2952, 10349, 1452, 286, 4396, 345, 1054, 2940, 292, 1452, 286, 623, 398, 4694, 1597, 1189, 16, 313, 459, 1508, 225, 88, 76, 73, 1185, 5, 203, 13288, 9752, 203, 40, 1722, 16, 12378, 16, 39177, 16, 18804, 31706, 16, 290, 5598, 12670, 5046, 459, 1411, 339, 225, 88, 76, 73, 1150, 819, 6560, 318, 2758, 431, 9099, 428, 9000, 62, 61, 10988, 18, 7773, 459, 34854, 581, 225, 88, 76, 73, 1465, 290, 764, 2540, 286, 225, 88, 76, 73, 1358, 1465, 5, 3747, 2832, 29357, 4770, 650, 803, 2141, 623, 1191, 5, 203, 2338, 203, 18646, 29494, 203, 18646, 5046, 1706, 6560, 2758, 326, 29583, 16, 13139, 677, 16, 41239, 16, 5176, 5046, 16, 388, 715, 326, 1189, 18, 996, 313, 371, 1536, 326, 225, 69, 836, 286, 17316, 527, 225, 88, 76, 73, 1465, 313, 371, 3247, 16, 764, 786, 2314, 720, 9099, 428, 9000, 62, 61, 6560, 5, 2882, 352, 88, 5792, 326, 225, 88, 76, 73, 47324, 1818, 292, 2322, 650, 313, 424, 917, 225, 69, 631, 3163, 292, 10890, 18, 2, 0, 21, 203, 4644, 3436, 16, 2153, 291, 3635, 16, 14841, 999, 15900, 30, 957, 33197, 16, 12361, 1720, 19540, 2590, 1818, 16, 9141, 16, 478, 20276, 40927, 16, 40199, 2345, 277, 16, 4210, 316, 420, 18199, 83, 16, 11382, 14781, 83, 16, 33424, 2667, 16, 33841, 848, 3021, 999, 9829, 225, 69, 3465, 203, 521, 332, 3048, 3363, 2498, 1846, 6213, 225, 88, 76, 73, 3990, 981, 9292, 2976, 2719, 715, 708, 17264, 225, 88, 76, 73, 8713, 1133, 29190, 356, 555, 5593, 4254, 290, 225, 88, 76, 73, 2217, 27214, 28740, 8246, 424, 339, 31, 8325, 318, 15371, 10837, 290, 225, 88, 76, 73, 17727, 16, 40268, 16, 290, 14695, 371, 3513, 12259, 18, 18612, 16, 2123, 225, 88, 76, 73, 5259, 290, 225, 88, 76, 73, 2066, 345, 225, 88, 76, 73, 17414, 371, 581, 2313, 1631, 4196, 720, 225, 88, 76, 73, 8325, 12259, 544, 2432, 16, 225, 88, 76, 73, 1257, 318, 449, 33708, 16, 3851, 357, 318, 21904, 282, 1796, 345, 3044, 2029, 5954, 318, 3437, 18, 203, 829, 225, 88, 76, 73, 11382, 14781, 83, 357, 424, 764, 664, 225, 88, 76, 73, 3635, 291, 442, 1244, 18, 16747, 5237, 225, 69, 1240, 5499, 1180, 387, 9703, 286, 225, 69, 24917, 19228, 9843, 2913, 664, 12361, 1720, 19540, 2590, 1818, 16, 225, 69, 5742, 19228, 6626, 5499, 318, 3736, 6896, 93, 18, 203, 56, 736, 28761, 16, 654, 292, 624, 16, 371, 3295, 4809, 286, 1240, 6626, 10837, 18, 4210, 316, 420, 18199, 83, 2130, 318, 27738, 19228, 1613, 69, 290, 11492, 431, 13015, 8707, 37549, 832, 9367, 33218, 18, 203, 23938, 423, 29456, 5014, 660, 1380, 339, 225, 69, 3174, 3427, 7083, 16970, 18, 203, 16718, 4539, 325, 225, 88, 76, 73, 11382, 14781, 83, 318, 449, 670, 357, 318, 291, 225, 88, 76, 73, 26494, 2039, 18, 203, 12445, 18607, 371, 1740, 326, 18, 203, 3111, 2703, 1913, 1913, 1913, 203, 3001, 3635, 431, 2474, 6872, 10448, 84, 18, 203, 42176, 316, 5833, 2399, 22, 203, 6974, 3436, 16, 2153, 291, 6938, 11212, 15502, 999, 15900, 30, 12140, 16, 9141, 16, 22708, 389, 16, 41999, 316, 16, 15700, 434, 16265, 16, 2570, 270, 1114, 16, 1892, 25243, 16, 11382, 14781, 83, 16, 33424, 2667, 999, 377, 3465, 203, 5089, 25243, 37334, 698, 225, 88, 76, 73, 11382, 14781, 83, 915, 290, 1001, 31, 633, 3736, 910, 290, 840, 30421, 278, 445, 1675, 744, 633, 225, 69, 4516, 7498, 7321, 18, 314, 2466, 442, 318, 225, 88, 76, 73, 1172, 595, 314, 2897, 633, 1036, 2340, 797, 806, 2376, 18, 203, 47585, 389, 724, 4938, 325, 442, 2535, 1036, 16, 1220, 806, 2376, 18, 1009, 1036, 352, 87, 1334, 314, 1411, 6854, 396, 281, 691, 314, 979, 16, 314, 352, 315, 11770, 13, 1913, 1913, 1913, 780, 1822, 524, 292, 225, 88, 76, 73, 1150, 8313, 225, 88, 76, 73, 1150, 27795, 595, 359, 3988, 430, 18, 5635, 16, 225, 69, 4349, 4196, 21753, 517, 346, 1490, 29901, 18, 203, 10209, 31518, 7304, 12140, 318, 225, 69, 15004, 16, 34070, 17, 15606, 33424, 345, 314, 352, 315, 2194, 6159, 1560, 1046, 13861, 426, 290, 7157, 644, 786, 6440, 6512, 3409, 18, 203, 49, 1896, 316, 385, 2387, 383, 225, 88, 76, 73, 1150, 8313, 383, 10593, 225, 88, 76, 73, 1150, 595, 359, 12140, 2304, 18, 41999, 316, 318, 4438, 431, 225, 69, 602, 290, 1490, 3416, 431, 225, 69, 1834, 18, 5794, 2357, 564, 26213, 16, 225, 69, 3770, 318, 345, 12140, 504, 18810, 18, 203, 5616, 270, 1114, 504, 2406, 1036, 326, 658, 225, 69, 7134, 1102, 203, 387, 385, 543, 3077, 3989, 431, 15700, 434, 16265, 18, 203, 18453, 12140, 2304, 16, 9141, 5272, 286, 427, 5642, 33841, 9632, 290, 49931, 326, 581, 5742, 806, 915, 2363, 2894, 352, 87, 670, 633, 4587, 3218, 664, 524, 292, 225, 88, 76, 73, 1257, 18, 203, 3001, 3635, 290, 609, 15448, 431, 2474, 6872, 10448, 84, 16, 596, 504, 286, 2819, 225, 88, 76, 73, 1411, 17, 1609, 1806, 1036, 1660, 290, 3818, 286, 609, 10373, 325, 33424, 2667, 10157, 18, 203, 42176, 316, 5833, 3275, 23, 203, 7751, 2272, 16, 2286, 291, 361, 8279, 454, 16, 38214, 11212, 16, 421, 468, 267, 323, 954, 2525, 2753, 7223, 16, 19904, 225, 88, 5833, 16, 2217, 8593 ]

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

[ 16, 290, 658, 803, 806, 19580, 408, 427, 2194, 28036, 2715, 1620, 543, 290, 543, 292, 225, 69, 6139, 291, 225, 69, 1250, 352, 87, 1476, 18, 2, 0, 1905, 629, 3366, 16, 279, 2098, 4927, 318, 225, 69, 891, 5190, 286, 225, 69, 42258, 388, 927, 1028, 18, 5707, 13528, 371, 7231, 23144, 423, 5193, 3317, 596, 548, 326, 290, 1766, 346, 225, 69, 2737, 1201, 16, 3047, 1444, 17, 388, 641, 17, 2378, 1103, 290, 5529, 1028, 18, 203, 37, 4467, 291, 225, 88, 76, 73, 1962, 346, 2399, 806, 352, 1185, 16, 14141, 4547, 504, 225, 88, 76, 73, 4104, 4555, 292, 6498, 24233, 6941, 18, 203, 1624, 225, 69, 11647, 15445, 6064, 16, 313, 459, 2834, 225, 69, 1175, 25, 4946, 8119, 325, 1103, 1028, 11945, 1382, 754, 14141, 4547, 18, 203, 36344, 44954, 25369, 9137, 29026, 9705, 6393, 43993, 33980, 331, 24147, 5704, 2700, 34678, 35, 203, 23225, 2187, 696, 1591, 14141, 4547, 16, 2098, 13528, 1369, 527, 286, 6049, 2021, 619, 1302, 292, 1103, 1028, 325, 225, 69, 4390, 2267, 431, 313, 18, 203, 2631, 1978, 1691, 696, 409, 3661, 1432, 292, 279, 2098, 4927, 318, 1175, 28, 619, 3597, 18, 203, 18511, 696, 5707, 13528, 4792, 431, 14141, 4547, 427, 4361, 3942, 10567, 290, 1446, 1845, 9374, 16, 955, 359, 33016, 290, 724, 4902, 22867, 18, 203, 40, 2493, 6528, 33092, 35, 203, 1543, 783, 339, 1316, 286, 3450, 325, 8861, 2098, 4927, 7994, 431, 1249, 2666, 17, 5023, 1621, 423, 398, 39746, 300, 2976, 4547, 41173, 38915, 8768, 35, 8831, 543, 203, 1200, 509, 2, 0, 23156, 8961, 22319, 42544, 4443, 2148, 16, 1369, 761, 31069, 10934, 5693, 16, 290, 1118, 225, 88, 76, 73, 3478, 17, 447, 292, 3297, 3812, 16, 2196, 1046, 10373, 18, 203, 37872, 1118, 513, 274, 1021, 203, 2091, 442, 3233, 469, 454, 326, 1310, 6382, 286, 1209, 2414, 292, 17241, 18, 996, 3282, 45, 11106, 281, 607, 979, 3629, 894, 1376, 291, 2494, 3384, 359, 544, 5586, 544, 979, 16, 290, 544, 352, 264, 7419, 3282, 45, 33447, 16, 857, 544, 8001, 326, 384, 2039, 346, 524, 225, 69, 7034, 18, 1979, 1872, 1477, 423, 225, 88, 76, 73, 2777, 292, 654, 29975, 4360, 16, 398, 5388, 17, 2959, 4794, 3849, 459, 2648, 339, 15396, 43371, 300, 290, 408, 783, 32475, 388, 25771, 404, 398, 2047, 290, 3914, 17, 33853, 3788, 1653, 3849, 326, 1928, 31622, 18, 203, 16405, 43738, 11650, 25354, 2860, 49626, 16, 7816, 4211, 3048, 2180, 10712, 43391, 54, 13557, 14691, 29986, 4986, 37818, 6094, 351, 26846, 14367, 35397, 19393, 4986, 30182, 10712, 37818, 6094, 411, 22802, 2964, 24490, 4986, 23073, 2301, 14691, 16, 4986, 32089, 10564, 14143, 21709, 1652, 9197, 4986, 23073, 2301, 14691, 16, 4986, 27239, 39, 22233, 20341, 49503, 6242, 4986, 10780, 3824, 8186, 16, 4986, 19167, 5704, 12092, 6242, 4986, 23073, 2301, 14691, 10712, 4986, 23073, 2301, 14691, 352, 31812, 5859, 38, 34446, 16, 21647, 42437, 16, 19109, 5704, 2710, 61, 16, 41184, 4181, 7845, 34446, 10712, 14112, 20546, 6030, 393, 8036, 42, 12496, 12612, 30329, 55, 16, 10780, 3824, 41, 9027, 1974, 20758, 40153, 4846, 10712, 28268, 46828, 9027, 1974, 19068, 48238, 18, 203, 43, 5995, 2016, 346, 5620, 3251, 286, 723, 39411, 225, 88, 76, 73, 910, 864, 1604, 1382, 291, 225, 69, 761, 31069, 290, 1432, 3044, 2149, 18, 409, 1319, 292, 3265, 225, 69, 932, 1767, 787, 292, 286, 5173, 519, 4443, 1118, 1275, 7507, 325, 225, 88, 76, 73, 8552, 352, 4042, 4160, 519, 2955, 286, 22478, 3665, 519, 2024, 388, 2024, 18, 332, 932, 388, 8429, 424, 352, 88, 1177, 346, 524, 709, 12813, 18, 203, 37, 6301, 1953, 318, 225, 88, 76, 73, 5880, 292, 4215, 2216, 16, 573, 504, 1490, 3863, 12250, 286, 2219, 935, 18, 996, 786, 31791, 5739, 13502, 318, 12104, 286, 339, 225, 88, 76, 73, 11736, 291, 3622, 292, 225, 69, 1883, 3849, 16, 225, 88, 76, 73, 8685, 23685, 31791, 5739, 11535, 413, 318, 453, 902, 3726, 18, 10139, 16, 631, 1646, 290, 1382, 371, 568, 961, 3118, 431, 225, 88, 76, 73, 5550, 290, 2657, 286, 225, 88, 76, 73, 4273, 292, 5804, 431, 225, 88, 76, 73, 2211, 18, 203, 3462, 1249, 442, 2343, 1637, 16, 313, 14458, 346, 225, 88, 76, 73, 18299, 292, 5577, 290, 15763, 31045, 19567, 11965, 6310, 318, 225, 69, 6581, 17805, 292, 225, 88, 76, 73, 47841, 5031, 16, 3726, 18, 22774, 3849, 9148, 318, 1349, 359, 2597, 1167, 359, 225, 69, 1310, 396, 55, 38302, 13, 431, 279, 4230, 10440, 16, 1653, 13842, 45273, 277, 1432, 6382, 326, 316, 81, 446, 290, 14644, 768, 5967, 6300, 609, 48659, 16, 1318, 1344, 2076, 745, 292, 345, 371, 1653, 4794, 291, 3671, 18, 203, 32052, 3849, 18032, 10833, 3037, 11965, 12686, 3003, 760, 1935, 982, 723, 6554, 359, 761, 359, 225, 88, 76, 73, 2246, 359, 225, 69, 2315, 10698, 1792, 1496, 286, 1310, 15169, 2453, 479, 80, 290, 13905, 398, 21981, 2047, 431, 10107, 1036, 1078, 543, 1415, 16, 2330, 2403, 225, 88, 76, 73, 5107, 8961, 5563, 18, 203, 37, 3839, 14224, 29929, 292, 548, 504, 652, 345, 292, 5442, 363, 18, 18751, 16, 4214, 5939, 1843, 292, 7781, 1420, 5260, 290, 6368, 26258, 345, 225, 88, 76, 73, 1750, 292, 442, 4674, 2216, 292, 225, 88, 76, 73, 616, 17132, 5662, 8302, 550, 1381, 339, 8982, 431, 836, 292, 616, 41068, 16, 8568, 431, 4049, 17757, 1076, 1728, 548, 23706, 225, 88, 76, 73, 2258, 2634, 292, 225, 88, 76, 73, 1851, 2198, 2836, 7996, 16, 290, 4681, 1133, 225, 88, 76, 73, 17278, 5246, 17278, 426, 290, 39126, 5246, 364, 1326, 426, 18, 203, 48189, 3942, 1324, 203, 3462, 1376, 38030, 286, 3287, 2216, 16, 6927, 4049, 744, 357, 38509, 286, 2072, 543, 20325, 225, 88, 76, 73, 1959, 1133, 225, 88, 76, 73, 1152, 69, 282, 325, 624, 18, 28326, 7021, 1653, 3849, 9148, 325, 709, 8912, 9148, 1693, 16, 225, 69, 2220, 18320, 2597, 1167, 326, 13101, 3019, 4602, 18, 8648, 313, 787, 279, 25164, 3294, 2758, 431, 443, 396, 20162, 16, 225, 69, 31791, 5739, 25164, 17769, 6404, 29043, 873, 313, 1380, 339, 11542, 12875, 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, 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, 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 ]

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

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

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 73, 20286, 8267, 16, 225, 69, 1275, 292, 15621, 16, 1318, 41901, 3558, 21425, 423, 1808, 225, 88, 76, 73, 1868, 3972, 279, 1227, 4964, 292, 1118, 286, 225, 88, 76, 73, 36378, 4806, 4508, 291, 9424, 345, 1882, 2540, 1584, 18150, 17661, 21193, 18, 1783, 1778, 4034, 2608, 3901, 290, 4862, 519, 3798, 346, 30, 616, 988, 2466, 290, 1449, 346, 313, 1076, 1783, 1778, 643, 479, 1592, 292, 225, 69, 17782, 292, 1778, 3558, 21425, 1740, 8607, 26991, 33899, 486, 4250, 272, 26364, 396, 88, 76, 73, 2090, 7510, 30204, 5134, 352, 87, 11366, 859, 203, 8749, 1477, 819, 225, 88, 76, 73, 4964, 385, 2740, 16, 6177, 292, 1778, 291, 5511, 5894, 1447, 6423, 286, 10868, 5490, 20985, 18, 409, 2339, 13813, 31984, 816, 2209, 1837, 1128, 325, 2636, 1519, 88, 76, 16, 2451, 291, 8758, 5511, 5894, 286, 1582, 225, 69, 2703, 1803, 326, 17111, 290, 17837, 286, 15005, 1584, 5490, 33902, 18, 1507, 345, 1150, 927, 16, 225, 88, 76, 73, 616, 8514, 5877, 225, 88, 76, 73, 32839, 550, 17810, 568, 1112, 291, 8758, 5511, 5894, 286, 949, 225, 69, 1449, 1584, 5490, 20985, 291, 225, 88, 76, 73, 9178, 18, 409, 797, 47637, 1112, 383, 225, 88, 76, 73, 1150, 1128, 290, 1511, 30480, 326, 1670, 8266, 290, 9043, 345, 703, 1118, 17111, 292, 803, 13182, 18, 203, 5733, 442, 595, 16, 1378, 3224, 385, 961, 4734, 286, 339, 5292, 291, 9424, 286, 7210, 286, 225, 88, 76, 73, 13434, 10138, 292, 1778, 352, 87, 25616, 18, 557, 3918, 286, 225, 88, 76, 73, 4964, 292, 1118, 423, 15621, 16, 1318, 1778, 3558, 21425, 16, 26054, 352, 55, 15867, 13067, 5292, 325, 2494, 377, 334, 16, 2286, 346, 519, 884, 1227, 4964, 4862, 431, 658, 7070, 1778, 291, 225, 88, 76, 73, 6560, 1950, 18, 22360, 291, 225, 88, 76, 73, 1063, 2229, 6320, 16, 442, 4964, 26465, 225, 88, 76, 73, 3558, 21425, 290, 3823, 345, 544, 703, 339, 1249, 519, 2774, 290, 5866, 286, 12252, 326, 17111, 292, 20985, 290, 27571, 18, 26054, 352, 55, 3392, 1778, 928, 16, 616, 270, 496, 318, 1796, 1395, 290, 2267, 225, 69, 3968, 345, 616, 1448, 1131, 2971, 225, 69, 1004, 827, 548, 318, 2703, 16, 3492, 16, 290, 49050, 326, 1778, 292, 479, 5836, 1076, 203, 56, 18094, 352, 55, 15867, 568, 5292, 225, 69, 1319, 292, 9532, 286, 2359, 7681, 16320, 290, 9178, 3097, 291, 1952, 7452, 18, 409, 26054, 352, 55, 15867, 13168, 12936, 6327, 385, 3178, 286, 723, 17111, 16, 2276, 1778, 292, 5321, 290, 2110, 17, 19493, 1778, 16, 623, 4737, 286, 11132, 290, 3169, 18, 738, 2774, 504, 658, 11911, 11132, 27749, 326, 1778, 352, 87, 5950, 18, 203, 21741, 16, 26054, 352, 55, 15867, 385, 3178, 286, 3349, 1924, 7856, 292, 20985, 290, 15567, 18, 557, 225, 69, 10666, 286, 5891, 6031, 326, 225, 88, 76, 73, 3028, 16, 798, 13560, 292, 225, 88, 76, 73, 8451, 88, 76, 8541, 21402, 6894, 13618, 2532, 346, 1970, 6179, 24255, 290, 26054, 352, 55, 15867, 18810, 286, 1118, 225, 88, 76, 73, 3968, 18, 332, 1162, 15373, 1315, 8717, 2571, 24903, 290, 351, 9012, 3271, 7902, 5065, 20225, 396, 23493, 3296, 292, 8607, 26991, 33899, 486, 4250, 272, 26364, 13, 643, 6800, 359, 4694, 292, 1952, 19121, 18, 332, 1319, 292, 9895, 3325, 2719, 3938, 16, 1315, 225, 88, 76, 73, 2286, 39935, 1330, 290, 225, 88, 76, 73, 2286, 361, 47201, 6741, 6894, 291, 3023, 18, 203, 20477, 16, 408, 352, 635, 2145, 1036, 326, 225, 88, 76, 73, 915, 18, 996, 313, 371, 1536, 286, 623, 279, 3281, 2343, 946, 1250, 16, 502, 2920, 325, 1036, 5, 203, 1905, 543, 13485, 16, 2920, 325, 1036, 18, 203, 15601, 1202, 3022, 75, 1202, 962, 680, 75, 1202, 34016, 2535, 15245, 932, 946, 946, 23081, 946, 47455, 2825, 356, 1505, 16320, 35767, 2767, 82, 27207, 380, 1778, 3968, 2, 0, 829, 2616, 314, 2483, 286, 7352, 346, 7681, 29612, 290, 2442, 2203, 352, 87, 6143, 703, 1234, 530, 286, 1766, 359, 225, 69, 3259, 18, 2203, 352, 87, 3466, 286, 530, 385, 225, 69, 47973, 616, 15850, 5128, 738, 318, 551, 1806, 18, 203, 521, 2537, 292, 551, 7681, 5966, 2483, 225, 88, 15884, 383, 530, 1154, 1846, 8100, 650, 314, 1100, 225, 69, 4684, 292, 2448, 352, 87, 14498, 291, 531, 8171, 18, 314, 23429, 3867, 325, 760, 4283, 18, 12831, 2540, 225, 69, 1162, 806, 16, 551, 9895, 7352, 346, 37140, 2483, 359, 225, 69, 673, 17, 6797, 650, 225, 69, 6147, 1279, 290, 314, 5476, 225, 69, 2770, 292, 1367, 18144, 8022, 12032, 291, 554, 292, 225, 88, 76, 73, 1491, 15701, 352, 87, 11138, 4834, 18, 601, 385, 225, 69, 7352, 345, 703, 1172, 326, 225, 88, 76, 73, 1358, 5742, 806, 18, 203, 2943, 41646, 3223, 3119, 530, 286, 225, 88, 76, 73, 5528, 383, 225, 88, 76, 73, 2184, 292, 4266, 819, 8327, 225, 69, 1491, 3042, 1771, 18, 24130, 290, 314, 1112, 383, 345, 823, 1150, 1771, 2769, 806, 1708, 18, 4150, 225, 88, 76, 73, 797, 806, 345, 408, 14217, 16, 314, 4034, 346, 633, 551, 7352, 346, 37140, 18, 557, 16396, 292, 442, 16, 551, 12731, 6672, 286, 13450, 530, 290, 2065, 6300, 530, 18, 828, 821, 16, 1119, 292, 443, 6951, 291, 225, 88, 76, 73, 2078, 2377, 1941, 345, 5993, 703, 339, 225, 88, 76, 73, 3466, 286, 551, 7352, 346, 29369, 18, 707, 643, 3660, 5, 6466, 16, 531, 5993, 703, 28664, 17, 7497, 326, 225, 88, 76, 73, 1358, 2399, 806, 18, 1456, 1631, 16, 650, 531, 2065, 346, 1895, 385, 3418, 815, 16, 531, 5993, 385, 2910, 18, 557, 1133, 16, 650, 314, 13924, 346, 18144, 16, 531, 2168, 3557, 14627, 290, 26053, 746, 31, 1040, 595, 16, 1308, 431, 1308, 16, 551, 11017, 703, 6837, 47269, 18, 5938, 16, 11017, 1071, 345, 18, 828, 943, 352, 88, 13008, 423, 332, 286, 351, 286, 1343, 31, 3043, 16, 313, 3360, 6837, 423, 332, 286, 361, 286, 331, 18, 1009, 650, 313, 2124, 351, 388, 1343, 16, 313, 2795, 16, 616, 1833, 979, 314, 623, 1036, 3740, 203, 2856 ]

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

[ 18, 203, 1624, 522, 4697, 41813, 286, 26342, 16, 458, 2704, 290, 24521, 524, 383, 225, 88, 76, 73, 3830, 1004, 629, 6306, 15372, 644, 1736, 339, 6990, 1143, 2, 0, 2691, 658, 797, 5256, 1592, 290, 15543, 16, 3814, 504, 652, 8586, 3496, 709, 3041, 2774, 1364, 709, 11303, 291, 4988, 18, 1507, 1174, 292, 225, 69, 6452, 3041, 3039, 16, 225, 88, 76, 73, 1670, 2155, 1250, 14587, 2220, 5667, 5505, 290, 46246, 16, 290, 3077, 2483, 9567, 1766, 1787, 18, 1542, 1446, 225, 88, 76, 73, 1801, 17, 20662, 8465, 292, 5050, 10072, 8422, 292, 4539, 16, 1913, 1979, 8063, 277, 291, 325, 225, 88, 76, 73, 3551, 6532, 16, 3814, 917, 524, 286, 942, 225, 88, 76, 73, 3053, 292, 709, 16577, 528, 18, 55, 18, 1415, 3313, 18, 203, 521, 6093, 18412, 203, 521, 15435, 49133, 3439, 6467, 2916, 8146, 203, 6604, 286, 4093, 15621, 1415, 8626, 16, 6093, 15645, 554, 292, 225, 88, 76, 73, 4104, 1415, 3313, 5819, 291, 225, 88, 76, 73, 1004, 16, 4454, 286, 225, 88, 76, 73, 15435, 352, 87, 1496, 286, 225, 69, 10283, 11120, 290, 1420, 2774, 345, 6537, 388, 24474, 9488, 760, 7231, 1297, 290, 745, 1864, 2772, 8626, 1060, 225, 88, 76, 73, 1580, 88, 2741, 4530, 6302, 318, 1361, 286, 7049, 18, 203, 18391, 39415, 2307, 318, 326, 6467, 20425, 203, 18391, 39415, 2307, 16, 2558, 715, 2573, 292, 15055, 16, 882, 1369, 3814, 346, 225, 69, 39787, 17, 1784, 1637, 290, 2823, 17, 9345, 24891, 18, 4367, 9542, 5852, 2409, 16, 225, 69, 3997, 17, 29902, 864, 17, 13637, 6142, 3313, 19305, 2558, 383, 225, 88, 76, 73, 14704, 292, 314, 17, 48943, 290, 314, 17, 9940, 16, 318, 41269, 2389, 286, 1446, 225, 88, 76, 73, 5259, 290, 2825, 3554, 3572, 326, 1415, 8626, 18, 409, 1637, 318, 3220, 431, 38145, 7330, 2726, 797, 28003, 556, 12202, 10578, 3882, 16, 504, 2645, 1257, 290, 21586, 4767, 16, 290, 2221, 15577, 754, 3080, 11120, 6382, 16, 346, 2917, 7249, 286, 225, 88, 76, 73, 631, 1022, 34686, 4611, 1011, 11715, 16270, 10063, 325, 6093, 352, 87, 33091, 2313, 4638, 1576, 18, 203, 37, 2474, 277, 14438, 203, 4000, 803, 643, 479, 4293, 4131, 292, 3814, 352, 87, 2247, 16, 225, 88, 76, 73, 16546, 8203, 1670, 2155, 1250, 568, 44579, 961, 1316, 286, 3481, 1965, 290, 14549, 2183, 290, 1100, 225, 69, 7019, 3372, 291, 6093, 18, 38145, 7330, 6093, 290, 3814, 2406, 1511, 286, 1582, 225, 69, 631, 16, 14549, 2183, 38480, 1740, 17199, 19772, 18, 409, 38480, 459, 1234, 3814, 290, 609, 1648, 2183, 2798, 286, 1446, 519, 1551, 754, 225, 88, 76, 73, 1408, 292, 14549, 2183, 5178, 18, 1099, 225, 69, 8635, 4087, 3734, 16, 225, 88, 76, 73, 14549, 2183, 2547, 3220, 811, 442, 38480, 1381, 339, 3500, 291, 6093, 18, 21719, 6901, 4797, 459, 339, 8568, 286, 1310, 3814, 352, 87, 5355, 39415, 6467, 2916, 346, 2313, 3159, 14549, 2183, 18, 203, 34343, 504, 652, 225, 69, 965, 286, 225, 88, 76, 73, 3298, 1364, 225, 88, 76, 73, 7305, 1950, 352, 87, 12944, 1477, 18, 1009, 4454, 286, 5355, 39415, 2307, 352, 87, 10283, 6302, 290, 7769, 932, 5306, 326, 1415, 3313, 1750, 16, 408, 882, 449, 339, 543, 13232, 286, 11401, 531, 1358, 1415, 3313, 1036, 18, 1605, 6182, 631, 1415, 3313, 5216, 16, 408, 449, 770, 764, 326, 1965, 290, 14549, 2183, 3153, 16, 517, 891, 12610, 1434, 225, 88, 76, 73, 1491, 1504, 16, 225, 69, 1977, 4273, 292, 1491, 4514, 16, 3281, 1496, 286, 11120, 16, 290, 225, 69, 10283, 4180, 11491, 18, 5355, 39415, 2307, 290, 225, 88, 76, 73, 15435, 292, 6093, 504, 357, 479, 18, 203, 29743, 25094, 4136, 292, 6467, 2916, 13578, 16, 3814, 203, 34343, 2452, 7397, 14237, 19390, 203, 829, 2485, 2451, 16, 3814, 3823, 3407, 286, 3847, 225, 69, 1260, 4472, 16, 1318, 17, 26484, 17, 9381, 1415, 3313, 291, 225, 88, 76, 73, 4367, 9542, 5852, 2409, 291, 5355, 39415, 2307, 18, 409, 1250, 5311, 286, 9638, 1175, 22984, 2372, 291, 225, 88, 76, 73, 1512, 16, 359, 761, 359, 6177, 292, 8233, 292, 2917, 6514, 291, 225, 88, 76, 73, 3344, 292, 225, 88, 76, 73, 6901, 4797, 286, 1310, 3814, 352, 87, 5355, 39415, 6467, 2916, 18, 409, 3758, 3983, 385, 8192, 383, 1175, 21, 5256, 290, 225, 88, 76, 73, 27795, 1616, 5675, 383, 2313, 631, 16, 1444, 17, 2378, 9622, 3419, 18, 203, 22759, 548, 2483, 291, 2827, 2286, 16, 715, 2176, 2039, 819, 225, 88, 76, 73, 1512, 385, 3823, 16, 4454, 286, 5355, 39415, 2307, 352, 87, 2823, 24891, 8569, 1167, 290, 225, 88, 76, 73, 1750, 17, 1784, 1637, 383, 4367, 9542, 5852, 2409, 18, 557, 2427, 2286, 16, 3814, 5311, 286, 279, 2917, 3983, 292, 1175, 22984, 2372, 286, 13660, 1220, 631, 6052, 16, 1318, 17, 26484, 17, 9381, 4700, 16, 5486, 225, 88, 76, 73, 5812, 2914, 5238, 12544, 286, 658, 384, 18, 24, 2372, 5238, 3779, 18, 203, 35637, 8981, 16, 26109, 2307, 203, 34343, 12117, 4691, 19170, 203, 13664, 2079, 1558, 3993, 12307, 18, 12973, 1013, 346, 9443, 18, 203, 988, 787, 9984, 286, 1182, 313, 225, 69, 1317, 18028, 1185, 16, 12094, 1637, 4539, 16, 32592, 2094, 16, 290, 3665, 10155, 19295, 18, 2, 0, 45, 714, 225, 69, 24309, 4881, 292, 554, 17, 10573, 2795, 9117, 16, 290, 1509, 225, 69, 2608, 15655, 16, 554, 17, 5181, 388, 18477, 7522, 18, 1366, 3077, 16, 650, 2586, 286, 4785, 325, 225, 69, 631, 6845, 286, 1735, 524, 346, 225, 88, 76, 73, 1201, 326, 5368, 16, 314, 2891, 286, 11522, 225, 69, 17467, 70, 512, 5675, 5, 738, 7307, 17467, 70, 512, 3667, 629, 292, 551, 9074, 6967, 17464, 696, 19501, 16, 42951, 16, 42763, 16, 17546, 16, 11673, 5, 16433, 794, 16, 357, 385, 225, 69, 1864, 2843, 346, 551, 1201, 696, 225, 69, 2328, 16, 3485, 4712, 1444, 292, 5321, 16, 225, 69, 891, 4610, 292, 1518, 3074, 286, 723, 313, 1446, 225, 69, 4567, 12393, 292, 398, 3225, 18651, 17, 290, 5188, 17, 12112, 417, 300, 1551, 5, 4903, 286, 623, 6270, 5 ]

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

[ 1286, 22313, 15267, 396, 3640, 7423, 873, 23383, 3502, 3962, 203, 49520, 18802, 603, 3070, 1286, 22313, 15267, 396, 3640, 10156, 873, 23383, 12796, 203, 203, 45680, 35838, 203, 10474, 86, 5989, 295, 35838, 203, 55, 6634, 1114, 423, 2123, 4590, 2, 0, 24787, 7833, 8746, 396, 3640, 2494, 3498, 16, 10858, 13, 318, 225, 69, 41629, 10304, 17, 10466, 1644, 16118, 47981, 290, 10565, 9425, 13686, 1712, 326, 225, 88, 76, 73, 44465, 10565, 17216, 12552, 281, 3445, 290, 40352, 2409, 18, 731, 318, 225, 69, 44465, 16118, 47981, 346, 2938, 13490, 18, 396, 4075, 16118, 28363, 643, 16364, 44465, 431, 409, 4365, 3797, 20652, 3348, 3155, 203, 203, 34877, 318, 225, 88, 76, 73, 724, 4958, 17, 4387, 286, 427, 797, 10565, 17216, 44465, 15865, 18, 731, 318, 568, 225, 69, 1806, 3136, 3702, 18, 8746, 26764, 291, 2148, 955, 359, 4967, 3993, 16, 1346, 3354, 16, 1201, 16, 4038, 7188, 16, 5772, 32274, 10437, 16, 290, 9156, 30500, 472, 8596, 16, 1027, 1541, 15687, 522, 4190, 291, 6460, 345, 371, 15457, 13010, 624, 18, 203, 203, 15731, 225, 203, 34877, 16, 596, 318, 2532, 290, 7184, 16, 385, 3157, 291, 5511, 5894, 16, 3470, 18, 731, 1698, 7144, 650, 458, 385, 1220, 18, 731, 5801, 225, 88, 76, 73, 1495, 292, 3470, 16, 17651, 16, 13633, 346, 225, 69, 16626, 291, 15950, 4860, 291, 6485, 18, 2776, 383, 2259, 16, 8746, 2154, 225, 88, 76, 73, 16118, 47981, 326, 409, 10061, 39493, 666, 18, 8746, 526, 17580, 16118, 12450, 11668, 2269, 2483, 291, 7601, 383, 2184, 452, 18, 1728, 724, 4556, 385, 286, 225, 88, 76, 73, 5511, 5894, 6320, 16, 573, 10102, 8356, 950, 225, 69, 17000, 760, 609, 1302, 18, 8746, 568, 3168, 522, 28363, 286, 225, 88, 76, 73, 3024, 7175, 27547, 290, 225, 88, 76, 73, 2677, 361, 21700, 396, 15982, 7649, 3888, 3348, 13, 7696, 16, 573, 2765, 225, 88, 76, 73, 18974, 26361, 18, 203, 203, 34877, 526, 9425, 12552, 281, 3445, 16, 5292, 291, 2427, 5452, 431, 409, 4365, 3797, 20652, 3348, 16, 2134, 1840, 2532, 290, 21868, 4190, 2354, 291, 225, 88, 76, 73, 7309, 1830, 18, 7447, 225, 88, 76, 73, 3897, 292, 12700, 16, 12552, 281, 3445, 8382, 1670, 290, 3506, 16895, 359, 761, 359, 225, 88, 76, 73, 3457, 292, 709, 36064, 18, 12552, 281, 3445, 5789, 524, 292, 225, 69, 10565, 9425, 1740, 10949, 701, 5635, 16, 573, 4938, 291, 225, 88, 76, 73, 2863, 8450, 292, 11762, 17651, 16, 409, 10061, 39493, 666, 16, 423, 8169, 286, 5452, 18, 601, 385, 345, 8450, 526, 13128, 17, 25103, 10565, 9425, 18, 12552, 281, 3445, 5272, 291, 658, 2313, 292, 3146, 526, 13910, 18, 203, 203, 34877, 568, 12653, 40352, 2409, 16, 225, 69, 44465, 10565, 9425, 2267, 431, 6997, 263, 378, 511, 290, 8746, 345, 385, 9471, 431, 1851, 13490, 21199, 3455, 290, 857, 409, 4365, 3797, 20652, 3348, 18, 378, 511, 16, 225, 69, 18, 79, 18, 69, 18, 5712, 4117, 11993, 16, 3972, 225, 88, 76, 73, 9425, 423, 5755, 286, 2862, 16, 650, 458, 3823, 458, 385, 2158, 225, 69, 602, 17, 7124, 266, 8374, 12377, 286, 1635, 325, 609, 2547, 18, 8746, 383, 345, 1570, 1837, 658, 225, 88, 76, 73, 2484, 10373, 359, 761, 359, 40183, 225, 88, 76, 73, 9425, 16, 573, 4810, 291, 2262, 2286, 18, 203, 203, 10220, 969, 225, 203, 34877, 2750, 21654, 291, 5511, 5894, 16, 3470, 18, 203, 203, 15603, 225, 203, 34877, 385, 2123, 225, 88, 76, 73, 2153, 41629, 10304, 326, 35910, 1697, 273, 11668, 18, 557, 1408, 286, 225, 88, 76, 73, 6924, 4842, 2130, 16, 8746, 526, 548, 1825, 1579, 3470, 3624, 49064, 19433, 5362, 3693, 6924, 290, 279, 8077, 46, 2694, 292, 17272, 4385, 16, 290, 458, 385, 225, 69, 797, 17, 2378, 13623, 17, 406, 326, 225, 88, 76, 73, 6130, 351, 18, 36184, 94, 4385, 16, 359, 761, 359, 225, 69, 13623, 17, 406, 326, 225, 88, 76, 73, 14572, 341, 4385, 18, 4327, 2616, 5358, 393, 18, 13972, 28407, 4385, 326, 35910, 1697, 273, 11668, 203, 2489, 37283, 556, 18, 954, 3988, 316, 18, 21596, 1010, 4385, 326, 35910, 1697, 273, 743, 203, 2153, 41629, 10304, 326, 35910, 1697, 273, 11668, 203, 203, 26923, 203, 203, 25986, 87, 203, 25986, 346, 9506, 389, 477, 888, 299, 16, 3888, 11028, 396, 7675, 591, 16, 3486, 13, 203, 25986, 346, 18184, 6532, 286, 6532, 396, 7065, 3436, 16, 3486, 13, 203, 25986, 346, 4584, 332, 18, 13097, 16639, 396, 7552, 3008, 13, 203, 25986, 346, 4584, 21687, 1069, 16, 409, 4365, 3797, 396, 7552, 452, 16, 2730, 13, 203, 25986, 346, 4584, 21687, 1069, 16, 409, 4365, 3797, 396, 8324, 832, 16, 2730, 13, 203, 203, 1987, 203, 203, 3257, 2477, 203, 35910, 1697, 273, 743, 11301, 10361, 203, 12552, 281, 3445, 11301, 10361, 203, 203, 22157, 4686, 203, 6004, 717, 203, 23260, 17, 4387, 15118, 15869, 203, 4387, 15118, 15869, 203, 4387, 10565, 9425, 17000, 1131, 203, 4387, 15118, 3852, 203, 11385, 17651, 3049, 292, 23645, 290, 4860, 7692, 203, 23260, 17, 4387, 3852, 203, 23260, 17, 4387, 11457, 203, 33499, 423, 5511, 5894, 203, 24629, 1644, 3852, 203, 521, 1063, 35356, 717, 203, 2866, 334, 17, 4577, 4958, 17, 4387, 717, 203, 2866, 334, 17, 4577, 1644, 11457, 203, 825, 88, 76, 17, 4577, 4958, 17, 4387, 717, 2, 0, 58, 3070, 3166, 10179, 9069, 318, 225, 69, 23383, 1565, 16, 11826, 423, 225, 88, 76, 73, 4062, 2123, 1565, 603, 3070, 261, 18, 601, 783, 3188, 286, 30, 4327, 428, 270, 317, 603, 3070, 3166, 10179, 396, 3640, 10945, 873, 23383, 17, 20678, 20356, 7833, 1257, 28392, 2946, 203, 1900, 9987, 603, 3070, 3166, 10179, 16, 203, 428, 8909, 6775, 603, 3070, 3166, 10179, 16, 203, 603, 3070, 261, 603, 3070, 3166, 10179, 16, 23383, 13005, 203, 203, 3591, 568, 203, 58, 3070, 261, 24948, 203, 203, 45680, 35838, 2, 0, 47, 18, 395, 18, 556, 718, 26759, 396, 3640, 3843, 2427, 13499, 13, 318, 225, 88, 76, 73, 4136, 4138, 292, 7073, 396, 27556, 17, 10176, 9136, 34428, 13, 292, 225, 88, 76, 73, 1627, 292, 32708, 291 ]

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

[ 431, 1452, 12958, 290, 225, 88, 76, 73, 2274, 18, 557, 2855, 16, 30463, 2788, 35235, 633, 359, 689, 88, 76, 73, 1358, 891, 1346, 2592, 2995, 981, 780, 644, 2740, 225, 69, 1444, 17, 17455, 2353, 18, 9931, 633, 3141, 4796, 16, 291, 2730, 9317, 6792, 3599, 292, 409, 17404, 35235, 5721, 359, 689, 88, 76, 73, 3297, 4998, 1840, 909, 286, 1369, 225, 69, 8701, 291, 708, 286, 13660, 225, 69, 2269, 346, 1162, 292, 225, 88, 76, 73, 10094, 5556, 2995, 15041, 633, 359, 689, 69, 6693, 4214, 4514, 290, 1737, 504, 1303, 7555, 16, 2655, 720, 811, 225, 88, 76, 73, 4519, 292, 225, 69, 1346, 319, 1065, 75, 5909, 388, 2255, 962, 345, 28011, 760, 16024, 388, 5505, 3921, 2656, 13381, 16, 1452, 11342, 11855, 45411, 7806, 19352, 633, 689, 261, 26748, 1346, 2592, 6, 1966, 286, 633, 14447, 20547, 290, 836, 291, 573, 780, 7157, 3178, 225, 69, 1977, 1737, 290, 4881, 14346, 346, 1308, 10515, 423, 225, 69, 1514, 1250, 18, 2193, 1955, 633, 1502, 5437, 290, 2778, 286, 345, 292, 4770, 17, 13777, 6301, 37734, 35297, 478, 455, 9407, 16, 18789, 72, 471, 9174, 345, 596, 4774, 286, 2377, 1700, 292, 13026, 1476, 5200, 3314, 4911, 290, 5802, 5254, 524, 4762, 10551, 16, 15041, 633, 359, 689, 69, 11959, 1346, 4939, 345, 770, 225, 69, 4188, 1162, 3583, 581, 2656, 203, 203, 7315, 38172, 7944, 30932, 22913, 359, 554, 292, 633, 1179, 4371, 38703, 16, 2469, 1614, 633, 2637, 346, 3765, 633, 6118, 633, 884, 1657, 595, 18, 203, 203, 10220, 969, 203, 7315, 9616, 6200, 359, 225, 69, 689, 3673, 262, 16, 38799, 3259, 2656, 557, 2730, 16, 5721, 2483, 4502, 9036, 35449, 13362, 284, 16, 3198, 292, 3962, 290, 7203, 7145, 13362, 284, 18, 409, 2735, 3823, 519, 6595, 325, 2967, 2636, 2451, 18, 1108, 643, 4308, 291, 1920, 18, 5721, 318, 225, 69, 10906, 13543, 292, 3610, 290, 225, 88, 76, 73, 1851, 2198, 18, 203, 203, 28159, 203, 203, 26996, 6847, 203, 203, 46696, 5066, 203, 203, 28016, 203, 203, 1624, 1083, 3702, 203, 203, 1624, 5346, 3702, 203, 203, 22195, 10402, 203, 203, 7969, 2436, 272, 203, 203, 11780, 4520, 203, 203, 9824, 203, 203, 15603, 203, 203, 3591, 568, 203, 5174, 292, 1319, 17, 582, 4770, 8395, 396, 11871, 2198, 13, 203, 5174, 292, 3852, 596, 4872, 1319, 554, 325, 225, 88, 76, 73, 1727, 9963, 7690, 203, 203, 1987, 203, 203, 17802, 4686, 203, 2866, 334, 17, 4577, 5070, 14314, 203, 16745, 4770, 7956, 203, 16745, 29857, 286, 225, 88, 76, 73, 1851, 2198, 203, 16745, 1778, 1346, 14314, 203, 4387, 4770, 7956, 203, 4387, 1778, 1346, 14314, 203, 38, 11051, 12879, 3049, 292, 4107, 7692, 203, 5013, 11007, 383, 5526, 725, 3032, 1925, 203, 16745, 1778, 6693, 17, 16513, 18009, 203, 16745, 1778, 291, 6730, 1452, 203, 4387, 1778, 6693, 17, 16513, 18009, 203, 4387, 1778, 291, 6730, 1452, 203, 31819, 17, 13777, 7956, 203, 6004, 717, 203, 55, 8263, 423, 8258, 203, 2866, 334, 17, 4577, 5070, 1778, 14314, 203, 52, 7140, 263, 15869, 203, 38, 33492, 1778, 203, 38, 33492, 7956, 203, 34237, 14314, 423, 3610, 203, 4387, 6693, 17, 16513, 18009, 203, 2866, 334, 17, 4577, 12826, 717, 203, 2866, 334, 17, 4577, 1644, 1778, 203, 16745, 1421, 274, 7334, 203, 4387, 1421, 274, 7334, 2, 0, 54, 457, 6589, 318, 279, 32506, 1504, 2558, 1689, 528, 18, 55, 18, 12433, 17237, 291, 1773, 1021, 4448, 2307, 16, 12830, 16, 1851, 2198, 18, 15775, 6589, 318, 1136, 4638, 3620, 292, 1273, 9646, 10594, 290, 797, 4638, 3686, 292, 1773, 1021, 4448, 1509, 5504, 11012, 17237, 290, 318, 2558, 325, 225, 88, 76, 73, 2677, 577, 40983, 290, 12830, 5158, 18535, 18, 332, 1244, 2347, 8001, 811, 225, 88, 76, 73, 1565, 5180, 3409, 423, 23688, 286, 13698, 18, 203, 203, 19818, 982, 203, 24420, 378, 18, 7472, 16, 225, 69, 16653, 290, 225, 88, 76, 73, 13128, 5050, 4115, 292, 225, 88, 76, 73, 2090, 13886, 13713, 16, 385, 3157, 291, 15775, 6589, 18, 203, 203, 1987, 203, 203, 34467, 4100, 291, 1773, 1021, 4448, 2307, 16, 12830, 203, 34467, 4100, 291, 12830, 2, 0, 46, 18, 395, 18, 374, 816, 1473, 396, 2566, 2427, 18672, 696, 384, 2262, 5452, 13, 385, 225, 69, 3194, 456, 406, 15833, 896, 472, 596, 318, 16769, 346, 3690, 2176, 5539, 456, 406, 3893, 420, 568, 1712, 359, 1866, 6553, 607, 26833, 8904, 409, 1753, 743, 292, 4497, 374, 2982, 277, 17682, 427, 225, 69, 29169, 472, 16, 4497, 9906, 6556, 3942, 17825, 357, 423, 225, 88, 76, 73, 543, 7303, 1712, 48590, 666, 2296, 292, 48079, 282, 3222, 4497, 6853, 18, 203, 203, 1905, 798, 806, 478, 18, 54, 18, 59, 816, 598, 33961, 291, 225, 88, 76, 73, 3261, 16, 827, 458, 3909, 225, 88, 76, 73, 3049, 292, 19350, 4497, 43633, 16, 573, 6025, 798, 292, 225, 88, 76, 73, 3173, 2176, 5539, 14675, 38891, 1660, 16, 1315, 389, 36755, 1429, 40534, 290, 6092, 39429, 880, 16, 596, 5141, 225, 88, 76, 73, 8930, 28843, 4339, 396, 21380, 225, 88, 76, 73, 19350, 43633, 4339, 13, 291, 32047, 16, 10495, 16, 1851, 2198, 18, 225, 8930, 28843, 504, 7345, 5400, 4709, 290, 318, 915, 3249, 225, 88, 76, 73, 10495, 1495, 292, 11172, 983, 3308, 18, 203, 203, 59, 816, 1473, 385, 568, 4246, 326, 3300, 225, 88, 76, 73, 5029, 326, 11248, 12451, 43633, 396, 8239, 8774, 873, 2750, 291, 49759, 16, 4941, 18, 225, 738, 3559, 385, 5141, 359, 225, 88, 76, 73, 374, 816, 1473, 4339, 290, 385, 2558, 291, 9533, 15692, 16, 4941, 326, 798, 806, 16, 827, 374, 816, 1473, 290, 522, 3564, 5044, 18, 738, 3559, 385, 1928, 17, 7014, 290, 385, 3119, 431, 10448, 285, 1043, 94, 16136, 326, 1579, 806, 18, 557, 1708, 806, 16, 225, 88, 76, 73, 7682, 644, 12547, 286, 225, 88, 76, 73, 26833, 2003, 1204, 291, 27457, 16, 7715, 18, 5383, 16, 522, 3564, 16, 23763, 36094, 374, 816, 1473, 16, 11631, 325, 225, 88, 76, 73, 2176, 5539, 26833, 2322, 16, 2003, 290, 3576, 4326, 14675, 291, 3621, 780, 14189, 272, 18 ]

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

[ 2794, 17, 27967, 28449, 7805, 318, 4887, 1013, 286, 1702, 2929, 955, 359, 43775, 290, 361, 17532, 16, 290, 1952, 2884, 292, 5931, 8468, 18, 1783, 28449, 7805, 87, 1380, 4051, 225, 69, 4762, 14854, 292, 7805, 720, 1059, 1013, 291, 225, 88, 76, 73, 5999, 1950, 16, 290, 427, 629, 7805, 8436, 291, 225, 88, 76, 73, 1693, 526, 4017, 16, 7368, 225, 88, 76, 73, 14934, 22829, 4203, 346, 7805, 18, 203, 203, 4280, 1150, 3812, 424, 3598, 1375, 787, 10506, 7805, 8568, 291, 225, 69, 2608, 5132, 286, 28449, 7805, 18, 203, 203, 32424, 290, 23890, 203, 52, 6274, 7862, 292, 28449, 7805, 1706, 30, 203, 8088, 491, 4710, 696, 307, 8426, 27655, 7805, 1342, 659, 326, 2709, 12042, 290, 787, 292, 3169, 1563, 10443, 13516, 696, 786, 2401, 20280, 290, 7916, 12324, 286, 12324, 14019, 203, 2720, 6112, 9097, 696, 1432, 4199, 290, 7990, 5264, 203, 203, 52, 6274, 31858, 1706, 30, 203, 40426, 388, 6979, 286, 4659, 388, 661, 14523, 819, 3934, 388, 3878, 1563, 3685, 75, 40233, 290, 689, 87, 804, 779, 6, 292, 5415, 14624, 290, 609, 10653, 423, 16349, 23180, 1646, 203, 18927, 449, 359, 9661, 359, 9147, 7805, 203, 203, 10209, 6173, 203, 521, 4607, 7805, 2094, 292, 28449, 7805, 14800, 5386, 325, 225, 88, 76, 73, 8660, 290, 225, 88, 76, 73, 1604, 1398, 18, 28815, 203, 1926, 318, 629, 9132, 290, 16908, 658, 225, 88, 76, 73, 16375, 292, 1249, 225, 88, 76, 73, 3463, 689, 41688, 282, 7805, 6, 286, 7651, 279, 28812, 1693, 16, 573, 318, 1902, 225, 69, 10700, 334, 21259, 7805, 16, 5655, 291, 225, 88, 76, 73, 965, 23694, 1950, 18, 332, 24406, 4666, 18215, 14451, 6185, 225, 69, 1693, 689, 41688, 282, 7805, 6, 318, 689, 18219, 34150, 952, 357, 1071, 449, 2432, 709, 2792, 3263, 18, 601, 526, 225, 69, 12518, 16, 388, 225, 69, 43898, 34538, 388, 225, 69, 19956, 16, 517, 357, 526, 449, 7805, 2656, 203, 203, 829, 3008, 225, 88, 76, 73, 3690, 5143, 1078, 11137, 1574, 3179, 12855, 1583, 9527, 27, 30, 9786, 1866, 3805, 1016, 774, 38644, 1253, 774, 6662, 22022, 326, 225, 88, 76, 73, 7805, 4194, 11, 286, 2145, 13187, 581, 28449, 7805, 16, 3060, 286, 573, 225, 88, 76, 73, 5711, 2487, 292, 2723, 9, 291, 3137, 292, 3652, 7805, 318, 2318, 286, 787, 225, 88, 76, 73, 3463, 689, 41688, 282, 7805, 2656, 203, 203, 521, 1727, 7986, 10964, 5357, 18271, 3267, 225, 69, 8933, 292, 7805, 2765, 18, 409, 7986, 10964, 5357, 504, 928, 345, 689, 521, 7451, 18133, 1584, 4384, 20264, 587, 581, 225, 88, 76, 73, 7805, 2094, 291, 1646, 9204, 2625, 16, 10700, 334, 21259, 16, 388, 28449, 7805, 16, 290, 1627, 345, 955, 1646, 16, 650, 544, 1994, 286, 339, 959, 292, 7805, 16, 905, 339, 10261, 431, 225, 69, 23581, 359, 286, 225, 88, 76, 73, 8933, 292, 7805, 388, 609, 11120, 2094, 18, 409, 7451, 568, 1627, 345, 803, 11573, 25097, 905, 339, 2765, 291, 654, 1693, 5982, 345, 1380, 5523, 4384, 29248, 6387, 359, 286, 225, 88, 76, 73, 9203, 292, 225, 88, 76, 73, 1693, 1556, 203, 203, 1987, 203, 203, 3257, 2477, 1563, 14456, 282, 7805, 1482, 1357, 1530, 16, 22723, 19, 7236, 16, 2827, 3486, 203, 203, 3805, 1016, 7360, 203, 3805, 1016, 203, 6520, 37716, 203, 37325, 5451, 17, 7360, 2, 0, 56, 410, 79, 322, 16, 8172, 14070, 359, 39112, 480, 12022, 16, 318, 225, 69, 1830, 2558, 291, 225, 88, 76, 73, 7445, 641, 292, 3550, 1627, 292, 31919, 18, 39112, 79, 322, 318, 10002, 383, 225, 69, 5061, 292, 225, 18081, 292, 25383, 16, 225, 88, 76, 73, 1627, 4029, 1509, 20999, 8048, 290, 20999, 18337, 18, 601, 318, 225, 88, 76, 73, 11703, 292, 225, 88, 76, 73, 39112, 79, 322, 4521, 18, 601, 318, 2558, 383, 279, 19724, 292, 1188, 4665, 3059, 81, 396, 4219, 5858, 18, 25, 3059, 1211, 859, 203, 203, 56, 410, 79, 322, 10055, 3350, 526, 724, 24996, 1518, 2711, 16, 225, 69, 1512, 292, 225, 88, 76, 73, 9462, 292, 1518, 6309, 18, 409, 3350, 5680, 2409, 385, 31406, 431, 8517, 5604, 44053, 42512, 34147, 291, 2427, 2730, 18, 39112, 79, 322, 318, 568, 2765, 291, 225, 88, 76, 73, 9187, 19746, 9866, 1241, 290, 318, 2196, 225, 88, 76, 73, 2313, 3948, 5394, 286, 339, 3118, 291, 3350, 18, 4143, 3436, 2429, 2987, 16, 39112, 79, 322, 504, 652, 10016, 282, 225, 88, 76, 73, 4709, 292, 225, 69, 1830, 15369, 18, 203, 203, 49034, 203, 41, 702, 81, 15990, 16, 225, 88, 76, 73, 1565, 292, 225, 88, 76, 73, 1830, 318, 6951, 286, 427, 652, 6616, 532, 5449, 423, 689, 56, 410, 1270, 269, 281, 89, 6, 952, 292, 225, 88, 76, 73, 14793, 292, 31907, 1270, 10618, 628, 89, 16, 225, 69, 1671, 292, 8845, 16, 388, 225, 88, 3032, 405, 269, 281, 89, 952, 292, 225, 88, 76, 73, 9906, 5281, 18352, 8388, 225, 88, 3032, 405, 16, 345, 1380, 427, 652, 1013, 745, 1036, 18, 601, 318, 568, 1740, 11192, 20326, 20944, 29307, 396, 944, 292, 13548, 4811, 873, 1966, 286, 225, 88, 76, 73, 14793, 292, 13548, 4811, 291, 225, 88, 76, 73, 1389, 18, 203, 203, 6050, 1806, 1723, 345, 1154, 225, 88, 76, 73, 5686, 292, 418, 11200, 24870, 322, 385, 519, 4029, 18, 4143, 39112, 79, 322, 318, 383, 864, 17067, 225, 88, 76, 73, 15913, 1013, 286, 339, 660, 325, 654, 9951, 346, 10380, 7427, 396, 69, 1671, 292, 11897, 13, 290, 1013, 286, 744, 1986, 291, 1715, 292, 654, 19469, 16, 11175, 225, 88, 76, 73, 1565, 18, 409, 3550, 4574, 2151, 6339, 225, 88, 76, 73, 3472, 286, 8172, 44283, 225, 88, 76, 73, 39112, 79, 322, 290, 1519, 609, 5394, 291, 2485, 2730, 18, 409, 1830, 8172, 2154, 689, 56, 410, 480, 12022, 6, 325, 377, 2636, 2730, 18, 203, 203, 18438, 203, 56, 410, 79, 322, 318, 2558, 383, 1913, 601, 504, 279, 3661, 17067, 292, 1188, 2905, 3059, 6068, 465, 396, 4299, 10266, 3059, 36743, 859, 203, 521, 1830, 504, 225, 69, 9412, 3505, 325, 225, 88, 76 ]

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

[ 14840, 203, 4331, 18150, 396, 5584, 16, 3157, 7423, 873, 1644, 1782, 290, 3282, 17203, 290, 3857, 7063, 2, 0, 521, 6758, 7290, 7713, 318, 554, 292, 1220, 2347, 4700, 22085, 2060, 7098, 18728, 1509, 225, 88, 76, 73, 3446, 7283, 38693, 4195, 291, 3024, 7175, 16, 3470, 18, 409, 6947, 1814, 17, 16764, 16, 225, 1848, 16, 568, 1712, 359, 689, 521, 40903, 2995, 385, 1698, 291, 18168, 290, 3500, 291, 16566, 18, 203, 203, 6355, 203, 521, 1848, 3220, 359, 225, 88, 76, 73, 11703, 326, 225, 88, 76, 73, 6758, 7290, 18535, 819, 709, 1651, 423, 225, 88, 76, 73, 27396, 7713, 291, 16566, 16, 2769, 806, 819, 8077, 644, 3230, 698, 225, 88, 76, 73, 27396, 7713, 291, 20968, 18, 1456, 709, 9130, 16, 225, 88, 76, 73, 1848, 526, 724, 3602, 385, 11797, 286, 4783, 6337, 326, 225, 88, 76, 73, 7125, 6954, 225, 88, 76, 73, 7611, 22348, 396, 29081, 286, 9866, 3568, 873, 573, 385, 12307, 326, 6758, 7290, 18, 8077, 20281, 225, 88, 76, 73, 1361, 3602, 286, 225, 69, 17914, 16, 517, 12038, 10114, 1220, 754, 2769, 346, 1952, 7459, 18, 1078, 798, 806, 16, 225, 88, 76, 73, 1848, 385, 16782, 346, 225, 69, 1648, 1151, 1145, 4524, 5059, 282, 346, 225, 69, 43548, 689, 55, 9540, 52, 2656, 203, 203, 1266, 385, 1708, 11395, 698, 225, 88, 76, 73, 10687, 2060, 7098, 18728, 1750, 573, 2626, 46927, 12538, 290, 3011, 16262, 12538, 18, 2519, 7601, 16, 4532, 1343, 468, 5890, 2060, 7098, 18728, 18, 1790, 16, 4970, 7290, 18535, 385, 1146, 225, 88, 76, 73, 4372, 292, 2060, 7098, 3568, 1535, 225, 88, 76, 73, 1848, 385, 3168, 326, 225, 286, 409, 6330, 3348, 396, 7599, 43, 13, 291, 6890, 18, 24433, 43, 12285, 1378, 1175, 1791, 3059, 15846, 286, 37845, 225, 88, 76, 73, 2646, 16, 1315, 225, 69, 37693, 44618, 16, 9592, 548, 291, 6485, 18, 22660, 4778, 22706, 7779, 3168, 2060, 7098, 3568, 286, 409, 3260, 6609, 3348, 291, 2827, 3868, 16, 290, 3260, 6609, 16, 291, 2410, 16, 3168, 2060, 7098, 286, 11647, 15445, 291, 2262, 3868, 359, 641, 292, 225, 69, 1648, 1229, 4463, 11061, 18, 11647, 15445, 3168, 5699, 2333, 292, 2060, 7098, 18728, 286, 409, 33640, 3348, 291, 2382, 3868, 18, 2060, 7098, 18728, 385, 5890, 21787, 431, 11647, 15445, 396, 5932, 9, 1877, 13, 290, 409, 33640, 3348, 396, 7933, 9, 1877, 13, 1535, 11647, 15445, 3168, 709, 1877, 286, 3260, 6609, 5710, 9779, 9446, 291, 2730, 326, 1913, 203, 203, 11189, 203, 1989, 3500, 16, 2060, 7098, 3568, 385, 35235, 359, 225, 88, 76, 73, 30061, 5479, 17, 4724, 2531, 3834, 5696, 292, 225, 88, 76, 73, 12830, 18, 409, 1848, 318, 5812, 291, 225, 88, 76, 73, 1139, 292, 225, 88, 76, 73, 4029, 4964, 689, 41, 2995, 346, 225, 88, 76, 73, 13128, 1752, 16, 225, 941, 16, 1509, 7098, 3568, 18, 409, 11713, 325, 46927, 290, 3011, 16262, 26184, 371, 1040, 225, 941, 16, 290, 225, 88, 76, 73, 4574, 5167, 318, 12038, 431, 39932, 18, 601, 318, 2389, 291, 225, 88, 76, 73, 5224, 19571, 2296, 346, 2840, 12328, 291, 5250, 10767, 290, 1311, 1428, 271, 17979, 18, 409, 15882, 385, 12020, 346, 7715, 305, 2031, 16880, 5786, 290, 279, 34302, 22160, 10946, 18, 203, 203, 5733, 225, 88, 76, 73, 6890, 1180, 4271, 35958, 16, 797, 292, 225, 88, 76, 73, 3815, 2536, 11708, 39932, 643, 15410, 290, 1402, 17, 10045, 2875, 20596, 271, 10634, 643, 5515, 291, 225, 88, 76, 73, 609, 2701, 41650, 16, 2681, 325, 225, 88, 76, 73, 2536, 3796, 24522, 18, 409, 39932, 644, 2524, 225, 69, 1864, 19608, 291, 13698, 16, 650, 20596, 11023, 643, 15410, 431, 9735, 5185, 18, 203, 203, 19315, 203, 203, 15720, 5841, 1251, 203, 28968, 7290, 203, 14987, 17283, 19122, 203, 23174, 6351, 18, 1633, 203, 203, 16583, 5841, 1251, 203, 21974, 29138, 203, 13165, 203, 203, 3591, 568, 4327, 3024, 7175, 526, 30061, 4700, 203, 203, 1987, 24405, 203, 20898, 4700, 3500, 291, 16566, 203, 18456, 13539, 291, 3024, 7175, 203, 26357, 3568, 396, 13917, 7175, 13, 203, 12658, 30080, 31591, 2347, 4700, 291, 3024, 7175, 203, 4403, 818, 290, 39387, 2659, 4700, 203, 28968, 7290, 18535, 2, 0, 14211, 25120, 528, 17, 26, 6181, 385, 225, 69, 10512, 17218, 2846, 528, 17, 16970, 2387, 326, 18573, 4681, 526, 556, 5876, 8405, 19148, 326, 1310, 1154, 2107, 2446, 3299, 18, 203, 4290, 385, 8154, 968, 325, 3275, 2427, 13918, 431, 10848, 6565, 954, 603, 1441, 16, 22347, 359, 8313, 1319, 1025, 1537, 16, 5292, 325, 1136, 2262, 13525, 290, 12681, 325, 1025, 2429, 13525, 811, 24892, 296, 327, 48957, 2303, 322, 5750, 11905, 17, 43, 5011, 82, 436, 2306, 38063, 18, 203, 203, 11189, 203, 14211, 10512, 17218, 2846, 36101, 643, 21458, 431, 225, 88, 76, 73, 11564, 10512, 26913, 38, 36101, 18, 528, 17, 26, 6181, 644, 225, 69, 28600, 292, 225, 650, 383, 225, 88, 76, 73, 4017, 290, 225, 1027, 33646, 18, 1236, 644, 225, 69, 2914, 4980, 292, 2836, 225, 69, 3946, 21753, 4980, 292, 2836, 225, 69, 16541, 292, 2836, 225, 69, 6481, 292, 2836, 290, 225, 69, 1061, 3359, 292, 1913, 409, 25120, 385, 11492, 431, 797, 3911, 77, 560, 262, 1211, 393, 6427, 1560, 17, 26355, 16, 2701, 17, 33900, 2739, 17790, 16203, 8707, 7368, 225, 69, 2914, 292, 225, 326, 787, 1027, 34924, 16, 797, 9817, 421, 43, 528, 38, 34659, 19, 28, 4452, 17, 14361, 4180, 18171, 7368, 225, 69, 2914, 292, 225, 326, 787, 1027, 33646, 18, 1236, 644, 797, 41650, 290, 797, 225, 5466, 13254, 18, 409, 5499, 385, 6824, 292, 5237, 383, 21706, 292, 527, 286, 1913, 203, 203, 521, 25120, 644, 225, 69, 5530, 4017, 3554, 292, 225, 290, 225, 69, 5530, 33646, 3554, 292, 1913, 1605, 33646, 16, 225, 88, 76, 73, 5499, 882, 6691, 326, 225, 383, 8604, 650, 34924, 16, 780, 882, 2321, 225, 383, 1913, 528, 17, 26, 6181, 385, 12020, 346, 2176, 225, 34974, 17697, 396, 18838, 12020, 383, 225, 88, 76, 73, 4587, 290, 554, 383, 225, 88, 76, 73, 27246, 873, 22677, 28926, 2931, 16, 554, 225 ]

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

[ 203, 12, 29, 916, 13, 1188, 7836, 17, 1758, 1758, 203, 7412, 203, 26658, 3932, 775, 290, 7390, 5494, 203, 3541, 429, 17, 21, 203, 829, 4823, 6771, 17, 21, 203, 28237, 17, 21, 203, 23, 1759, 1662, 7501, 203, 10875, 23457, 203, 6604, 203, 16218, 203, 13812, 1867, 2, 0, 1371, 313, 352, 264, 225, 69, 1240, 932, 1536, 286, 14044, 2216, 286, 2147, 4471, 16, 225, 69, 1056, 1191, 968, 424, 339, 225, 69, 18076, 18, 2864, 664, 6546, 380, 696, 691, 554, 1056, 14052, 16, 398, 2178, 5185, 424, 499, 968, 18, 203, 4139, 383, 23043, 343, 8729, 16, 408, 1545, 442, 18, 707, 688, 345, 1240, 290, 5188, 3251, 424, 352, 88, 4039, 1248, 940, 23372, 18, 828, 659, 479, 25217, 292, 398, 2216, 13160, 5307, 286, 2410, 225, 88, 76, 73, 2181, 292, 11285, 313, 1937, 290, 5435, 18, 707, 352, 264, 225, 69, 1240, 932, 16, 1248, 18, 707, 688, 760, 1308, 909, 6403, 18, 1366, 408, 1182, 4659, 1382, 326, 4093, 760, 6747, 292, 225, 88, 76, 73, 11788, 1752, 292, 398, 932, 18, 707, 10159, 286, 548, 9935, 290, 5860, 1440, 286, 427, 398, 932, 527, 290, 2681, 8636, 290, 2678, 18, 203, 2598, 23043, 343, 8729, 16, 408, 1182, 4659, 1382, 16, 1315, 30, 203, 27331, 14260, 203, 48693, 366, 371, 16363, 286, 8614, 968, 18, 601, 352, 87, 715, 708, 1228, 548, 18, 996, 313, 352, 264, 225, 69, 1648, 932, 16, 313, 352, 635, 2613, 427, 279, 4530, 4932, 286, 723, 313, 3473, 654, 290, 479, 292, 803, 2148, 18, 996, 313, 352, 264, 225, 69, 5188, 932, 16, 857, 313, 659, 286, 942, 225, 69, 3361, 4659, 7908, 345, 424, 723, 313, 623, 527, 290, 2681, 2678, 18, 1666, 352, 87, 670, 408, 502, 383, 23043, 343, 8729, 18, 203, 988, 1182, 4129, 3361, 4659, 1382, 16, 1315, 30, 203, 58, 4460, 8354, 203, 32049, 277, 20976, 9366, 203, 49806, 2148, 203, 14626, 3025, 292, 2371, 203, 19064, 3873, 2579, 203, 11129, 5243, 2148, 203, 1102, 2702, 543, 5, 203, 47025, 350, 290, 5606, 11282, 203, 47025, 1039, 290, 14056, 4760, 4284, 352, 88, 541, 2204, 286, 917, 527, 18, 1108, 352, 264, 874, 543, 2298, 286, 3473, 1912, 544, 894, 31448, 277, 18, 1456, 23043, 343, 8729, 16, 408, 15485, 291, 17031, 654, 290, 479, 19195, 290, 30368, 2148, 291, 279, 4199, 5713, 18, 707, 352, 635, 42544, 654, 30368, 290, 19195, 2148, 981, 4396, 225, 88, 76, 73, 1497, 3125, 326, 398, 1240, 932, 18, 203, 27331, 19, 38798, 21766, 203, 4000, 408, 1182, 1682, 3361, 4659, 1382, 16, 798, 1240, 3251, 1185, 5743, 2148, 16, 1248, 18, 996, 398, 5743, 318, 31448, 277, 388, 3177, 968, 16, 398, 932, 1825, 352, 88, 339, 1316, 286, 6691, 423, 225, 69, 11788, 28816, 18, 828, 352, 635, 659, 286, 3473, 225, 88, 76, 73, 5743, 981, 2425, 2935, 424, 339, 2498, 1028, 292, 18, 707, 1545, 225, 88, 76, 73, 25984, 292, 1792, 225, 69, 5743, 6503, 2678, 18, 996, 313, 352, 264, 1597, 2148, 346, 398, 5743, 16, 623, 291, 2718, 16, 290, 408, 352, 635, 8658, 554, 292, 531, 5743, 10056, 658, 286, 623, 1228, 527, 290, 2681, 2678, 18, 203, 34434, 9434, 203, 25578, 16, 408, 352, 635, 659, 286, 8588, 6323, 6236, 286, 3473, 398, 3361, 388, 5743, 2148, 18, 4121, 8740, 1496, 16, 408, 499, 698, 398, 1056, 290, 942, 225, 88, 76, 73, 11751, 2148, 18, 3273, 408, 3473, 624, 326, 313, 1342, 1801, 1597, 286, 499, 325, 17, 7952, 18, 203, 13134, 16801, 203, 29360, 1415, 318, 2365, 225, 88, 76, 73, 12690, 650, 225, 69, 3361, 388, 1056, 3177, 968, 18, 1238, 352, 87, 568, 225, 69, 4337, 292, 12429, 2848, 286, 1425, 18, 1911, 554, 4042, 286, 2101, 346, 14095, 1415, 290, 23937, 18, 1456, 23043, 343, 8729, 16, 408, 1545, 442, 290, 548, 31586, 286, 6596, 654, 290, 479, 2970, 1415, 225, 69, 1240, 932, 783, 32042, 18, 203, 2860, 4803, 34876, 203, 5270, 2812, 203, 21062, 596, 318, 1536, 326, 225, 69, 616, 13854, 17, 77, 82, 17, 582, 4443, 1968, 4314, 25329, 23043, 4478, 318, 398, 27971, 18, 203, 988, 5923, 225, 88, 76, 73, 10869, 524, 292, 4530, 5, 203, 16218, 203, 27331, 14260, 203, 19064, 3873, 290, 10117, 13307, 203, 13732, 5871, 3392, 203, 2860, 6953, 203, 22049, 694, 7532, 396, 4221, 13, 203, 5637, 2812, 203, 45455, 3115, 1077, 16, 21855, 203, 6140, 30, 1025, 1996, 17, 4946, 28, 17, 6755, 5932, 203, 37932, 30, 1260, 7764, 18, 28, 6011, 18, 6731, 7298, 203, 13466, 30, 203, 13664, 22346, 2616, 774, 999, 31403, 431, 5413, 335, 6718, 999, 1558, 9712, 26181, 999, 35587, 431, 9883, 203, 7995, 24094, 203, 21235, 3858, 1547, 203, 31371, 1773, 2, 0, 3804, 312, 11501, 1185, 517, 2910, 291, 3081, 18, 2689, 3219, 290, 19425, 18, 18236, 2448, 16, 949, 225, 88, 76, 73, 3597, 290, 499, 7594, 313, 26944, 13544, 357, 18, 19413, 30, 3329, 6670, 16, 877, 9001, 16, 891, 2762, 18, 3246, 30, 786, 312, 11501, 16, 2618, 27491, 16, 2110, 326, 2539, 18, 203, 17826, 10836, 40200, 422, 3888, 14584, 11075, 203, 14584, 331, 1811, 203, 13812, 42067, 203, 7977, 546, 18504, 203, 32554, 13150, 411, 6343, 603, 546, 18, 409, 910, 3955, 2762, 4502, 346, 6840, 13150, 411, 6343, 603, 546, 325, 1174, 3330, 422, 18, 4351, 18, 2090, 413, 13883, 18, 18556, 291, 411, 8107, 17187, 16, 411, 8107, 17187, 18, 411, 6343, 603, 546, 318, 225, 69, 864, 1284, 4750, 13150, 290, 318, 591, 806, 1840, 18, 1832, 7942, 3690, 3218, 459, 28634, 1140, 313, 18, 411, 6343, 603, 546, 318, 225, 69, 13150, 2448, 4818, 326, 398, 1015, 18, 738, 13150, 318, 48911, 18, 13278, 30, 5635, 22201, 30, 4995, 316, 907, 30, 28831, 18, 411, 6343, 603, 546, 318, 225, 69, 2069, 18118, 13150, 326, 2839, 290, 10241, 290, 459, 1875, 1189, 698, 398, 969, 18, 5051, 13150, 411, 6343, 603, 546, 1428, 603, 546, 291, 411, 8107, 17187, 18, 828, 424, 1976, 13150, 411, 6343, 603, 546, 431, 46246, 16, 2478, 529, 16, 6874, 1014, 18, 411, 6343, 603, 546, 2221 ]

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

[ 69, 1240, 290, 12444, 24730, 3752, 326, 2625, 1863, 3264, 2, 0, 1266, 6955, 87, 595, 286, 41574, 5, 557, 6955, 54, 766, 2208, 33072, 5, 6955, 33377, 459, 787, 3162, 28750, 290, 1816, 7670, 286, 2200, 17871, 286, 6462, 325, 519, 9278, 18, 5794, 225, 88, 76, 73, 17871, 290, 23722, 9278, 2443, 225, 69, 12306, 3921, 290, 1816, 16, 5048, 6746, 290, 1928, 17, 1160, 366, 10811, 286, 3527, 46117, 290, 1508, 225, 88, 76, 73, 1189, 18, 557, 6955, 50, 13449, 33072, 5, 6955, 33377, 459, 3711, 28749, 16, 4834, 16, 8085, 70, 5833, 16, 290, 543, 16, 857, 1128, 225, 88, 76, 73, 3825, 1319, 15033, 325, 519, 2928, 16, 1848, 1119, 15543, 290, 1319, 7670, 2548, 18, 557, 1040, 1305, 16, 225, 88, 76, 73, 724, 2946, 286, 2200, 1560, 2890, 325, 519, 2928, 8335, 5, 3844, 803, 5650, 23722, 1823, 346, 527, 286, 1025, 717, 18, 10390, 832, 290, 527, 459, 1246, 24673, 2208, 290, 15543, 519, 836, 286, 19780, 4172, 83, 6955, 5, 203, 15767, 13507, 203, 15603, 30, 203, 45388, 2721, 30, 15360, 1878, 22, 2419, 24, 6011, 203, 44181, 30, 9551, 3873, 203, 39098, 12245, 30, 203, 37890, 30, 203, 42304, 712, 9765, 30, 203, 37, 2186, 30, 774, 203, 10630, 203, 38483, 29513, 225, 88, 774, 1175, 17, 2455, 18, 4271, 203, 8611, 19523, 7673, 10712, 36877, 47457, 389, 45333, 203, 10630, 203, 17040, 6648, 203, 4867, 1943, 398, 3949, 40133, 34507, 18, 203, 19223, 4986, 10712, 36877, 47457, 203, 10630, 203, 17040, 225, 2, 0, 32389, 3722, 30, 225, 203, 12873, 11979, 30, 557, 1374, 286, 1449, 524, 8889, 9686, 291, 398, 1950, 16, 313, 659, 286, 1369, 2094, 325, 398, 1622, 345, 318, 9703, 286, 398, 1297, 16, 290, 1075, 29911, 715, 6883, 624, 18, 203, 15944, 2332, 47641, 30, 4851, 5177, 813, 286, 6567, 346, 398, 932, 754, 14649, 4914, 286, 2797, 18, 2193, 303, 624, 286, 623, 2912, 431, 21871, 10199, 754, 398, 1622, 18, 203, 11296, 2386, 30, 332, 2535, 318, 225, 69, 9072, 69, 1950, 18, 203, 11274, 5739, 23331, 30, 5049, 2155, 504, 3842, 10199, 286, 6567, 346, 5343, 543, 720, 1801, 981, 18, 29125, 1496, 286, 1059, 7515, 318, 225, 69, 891, 1408, 286, 654, 1622, 946, 18, 203, 19959, 4343, 8583, 203, 47661, 3058, 10535, 225, 88, 76, 73, 5675, 16, 9730, 16, 6368, 16, 3084, 290, 563, 69, 4650, 18, 203, 7346, 16, 544, 1369, 313, 346, 479, 225, 88, 76, 73, 2991, 3046, 286, 45499, 345, 23075, 2094, 18, 1605, 14531, 670, 21571, 313, 905, 787, 16, 531, 962, 292, 2825, 4672, 723, 313, 942, 225, 88, 76, 73, 1054, 3125, 1653, 325, 225, 88, 76, 73, 2190, 1551, 292, 398, 1250, 18, 4313, 21571, 424, 339, 1402, 2389, 290, 11331, 286, 398, 3201, 1551, 290, 8647, 18, 203, 14777, 203, 41, 11052, 9599, 3722, 203, 36134, 8761, 15553, 30, 10905, 2798, 225, 88, 76, 73, 8441, 286, 2247, 326, 225, 88, 76, 73, 1646, 345, 544, 371, 3357, 291, 18, 996, 225, 88, 76, 73, 2247, 2237, 8407, 2241, 16, 345, 459, 723, 313, 3289, 543, 431, 7909, 4539, 286, 1059, 1883, 1646, 388, 8069, 18, 203, 8678, 10709, 30, 5549, 277, 2798, 3305, 1646, 345, 10885, 388, 371, 2608, 286, 225, 88, 76, 73, 1693, 2111, 544, 371, 10450, 318, 225, 69, 891, 836, 286, 2688, 398, 4183, 1695, 18, 7447, 442, 2181, 292, 2443, 424, 5397, 2798, 286, 3449, 543, 595, 290, 1621, 325, 398, 1622, 18, 203, 15767, 4408, 13526, 30, 1558, 16174, 398, 2798, 286, 13819, 519, 27428, 1185, 325, 398, 1622, 431, 3267, 624, 225, 88, 76, 73, 2955, 286, 7245, 754, 398, 6298, 4503, 1653, 269, 30076, 5613, 2840, 581, 1040, 292, 398, 1646, 291, 225, 69, 1965, 16, 25061, 16, 5713, 18, 996, 225, 69, 2605, 2968, 942, 479, 225, 88, 76, 73, 1693, 1216, 544, 371, 1536, 326, 18, 203, 30899, 16141, 30, 601, 318, 3437, 326, 654, 3141, 27428, 1637, 286, 3307, 1249, 225, 69, 2013, 388, 5299, 3270, 326, 6477, 18, 15866, 2024, 459, 813, 1046, 6477, 34684, 16, 629, 813, 519, 1646, 286, 7553, 3856, 290, 1761, 371, 3778, 346, 6317, 1490, 326, 16313, 6477, 18, 203, 28038, 47731, 30, 6753, 277, 225, 88, 76, 73, 2243, 6341, 4401, 4756, 326, 798, 2024, 424, 339, 225, 69, 823, 13976, 2780, 18, 46419, 519, 19759, 431, 449, 770, 18936, 225, 69, 4401, 13712, 2111, 16, 517, 568, 431, 7909, 624, 279, 2368, 26655, 16456, 292, 519, 4401, 18, 203, 14777, 203, 27796, 437, 9599, 3722, 203, 54, 14972, 2720, 557, 9273, 30, 38012, 2720, 557, 9273, 15114, 437, 946, 318, 225, 88, 76, 73, 8188, 2724, 650, 357, 1822, 286, 1482, 398, 1622, 1119, 3494, 4710, 290, 2247, 2396, 4710, 18, 1605, 357, 1822, 286, 6867, 16, 225, 69, 13671, 1622, 424, 8269, 723, 398, 9532, 290, 744, 357, 3717, 286, 3734, 423, 3549, 526, 1866, 29409, 724, 9052, 11, 2295, 18, 2519, 3047, 225, 69, 1622, 18357, 326, 479, 3025, 6827, 16, 313, 744, 357, 3717, 326, 2247, 8707, 286, 1545, 290, 3665, 398, 2094, 18, 203, 45684, 323, 23097, 43256, 30, 9663, 2343, 8306, 318, 3496, 383, 279, 3895, 5670, 3270, 345, 8382, 11109, 2516, 18, 332, 1622, 345, 318, 449, 13671, 326, 3494, 4089, 882, 8595, 2362, 524, 325, 225, 69, 1171, 292, 932, 3379, 18, 1867, 1968, 13671, 5115, 2611, 7177, 2241, 326, 11065, 16, 12191, 16, 290, 3494, 2798, 18, 15114, 437, 2343, 946, 9135, 345, 760, 3041, 1185, 318, 279, 3281, 554, 18, 203, 17784, 2808, 557, 4903, 1009, 6959, 30, 15114, 437, 1622, 946, 424, 1582, 940, 543, 6357, 291, 1750, 595, 290, 1432, 18, 409, 13671, 1622, 1750, 2295, 7963, 313, 286, 14504, 398, 1344, 932, 326, 479, 4089, 346, 225, 69, 2013, 946, 18, 8864, 442, 2295, 16, 313, 2164, 5981, 286, 3449, 595, 290, 3169, 1848, 225, 69, 5008, 3494, 1637, 18, 203, 17572, 2964, 332, 7816, 2846, 3535, 6668, 8774, 35, 203, 59, 3191, 203, 26105, 3722, 203, 26105, 13490, 203, 26105, 27858, 203, 22, 5788, 1298, 203, 5637, 2812, 203, 23824, 203, 8, 3456, 19, 8820, 203, 12224, 3722, 7447 ]

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

[ 42115, 4314, 573, 408, 502, 449, 427, 291, 2764, 16, 1303, 819, 225, 88, 76, 73, 35538, 11219, 31, 616, 317, 11599, 550, 318, 225, 69, 3463, 8224, 1119, 616, 3252, 17, 1109, 290, 616, 13263, 17, 1109, 6269, 18, 203, 2628, 279, 513, 11599, 318, 225, 69, 1816, 573, 6180, 443, 225, 88, 76, 73, 19246, 388, 30774, 388, 7107, 11701, 2168, 1133, 1228, 18, 557, 2764, 408, 427, 291, 16, 325, 16, 754, 16, 431, 16, 290, 541, 325, 18, 1078, 616, 3252, 11599, 4314, 8091, 504, 414, 5468, 94, 1138, 303, 1392, 826, 3241, 669, 352, 573, 1767, 225, 69, 1171, 292, 2925, 359, 225, 88, 76, 73, 1816, 318, 449, 770, 616, 826, 17, 3241, 4314, 517, 568, 18521, 286, 827, 2824, 371, 1353, 291, 519, 19246, 16, 38624, 16, 388, 7107, 11701, 1959, 18, 14785, 504, 326, 16902, 356, 1392, 826, 16902, 368, 7336, 573, 314, 352, 81, 449, 541, 10536, 325, 18, 314, 352, 81, 449, 2313, 9, 2675, 16, 517, 314, 1156, 9041, 5431, 318, 225, 69, 877, 5190, 286, 616, 317, 11599, 4314, 541, 616, 3252, 11599, 550, 290, 616, 13263, 11599, 550, 9450, 1620, 4801, 3241, 5431, 290, 1979, 3241, 5431, 18, 314, 568, 2365, 664, 4801, 3241, 669, 290, 1979, 3241, 669, 18, 203, 47600, 3130, 1570, 524, 3578, 573, 909, 554, 318, 4244, 581, 18, 557, 1474, 2764, 408, 427, 616, 441, 4314, 616, 801, 4314, 616, 344, 4314, 290, 616, 1057, 3291, 1366, 16, 544, 1570, 524, 1228, 18, 616, 15192, 524, 550, 318, 225, 69, 7926, 287, 274, 24779, 31, 225, 88, 76, 73, 499, 17, 23475, 35538, 16, 345, 318, 225, 69, 909, 573, 2697, 1334, 524, 16, 703, 2459, 339, 1570, 17, 447, 388, 524, 43806, 350, 18, 1366, 2459, 363, 1350, 29160, 5431, 388, 3685, 43806, 350, 18, 203, 52, 606, 2224, 371, 8068, 22837, 292, 2824, 291, 225, 69, 42539, 10496, 18, 6143, 1756, 8003, 35, 3911, 504, 3537, 415, 445, 1828, 1392, 9301, 2615, 19036, 16, 2410, 292, 6579, 352, 290, 5871, 94, 1392, 3700, 6364, 23946, 19036, 35, 23946, 3700, 35, 203, 45, 4865, 352, 88, 1303, 527, 346, 11456, 326, 798, 1816, 43092, 16, 359, 313, 424, 821, 18, 1218, 345, 2747, 352, 88, 715, 952, 314, 3900, 225, 88, 76, 73, 11346, 286, 1303, 527, 346, 5648, 2824, 18, 1238, 318, 225, 69, 1361, 16, 543, 5972, 2157, 18, 1666, 318, 16, 798, 292, 225, 88, 76, 73, 2824, 371, 2655, 4443, 396, 81, 12216, 604, 73, 35, 12591, 433, 10014, 12063, 290, 4477, 371, 3785, 225, 88, 76, 73, 8991, 292, 442, 1244, 31, 314, 352, 635, 29510, 624, 1708, 18, 203, 43865, 2407, 732, 203, 63, 25139, 377, 65, 314, 2466, 616, 3150, 282, 5431, 550, 385, 5758, 7262, 431, 225, 88, 76, 73, 982, 596, 14587, 442, 2535, 30, 203, 4696, 442, 30, 203, 6885, 286, 1877, 325, 5491, 396, 7131, 675, 291, 631, 4566, 13, 203, 6885, 286, 1877, 325, 3814, 396, 7131, 675, 291, 631, 4566, 13, 203, 6885, 286, 1877, 325, 26820, 396, 7131, 675, 291, 631, 4566, 13, 203, 6885, 286, 1877, 325, 20246, 396, 7131, 675, 291, 631, 4566, 13, 203, 6885, 286, 1145, 284, 1910, 203, 7552, 1910, 203, 7675, 1910, 203, 8324, 1920, 203, 8209, 1920, 203, 7751, 1920, 203, 7800, 1920, 203, 7077, 1920, 203, 4644, 1920, 203, 7065, 1920, 203, 6974, 1920, 203, 8079, 1920, 203, 7675, 1920, 203, 8324, 2153, 203, 7552, 2286, 203, 4644, 2286, 203, 7065, 2286, 203, 6974, 2286, 203, 8079, 2286, 203, 7322, 2451, 203, 7077, 2451, 203, 4644, 2451, 203, 7065, 2451, 203, 6974, 2451, 203, 8079, 2451, 203, 7675, 2451, 203, 8324, 2489, 203, 8209, 2489, 203, 7751, 2489, 203, 7800, 2489, 203, 7552, 2489, 203, 7322, 2489, 203, 7077, 2489, 203, 4644, 2489, 203, 7065, 2489, 203, 6974, 2489, 203, 8079, 2489, 203, 7675, 2489, 203, 8324, 2616, 203, 8209, 2616, 203, 7751, 2616, 203, 7552, 2616, 203, 7322, 2616, 203, 7077, 2616, 2, 0, 6580, 16, 2636, 318, 325, 709, 836, 774, 290, 357, 3093, 449, 1248, 1856, 1576, 326, 4040, 26918, 18, 1666, 318, 1656, 314, 2463, 959, 527, 551, 1763, 286, 4283, 527, 551, 2535, 326, 225, 88, 76, 73, 5560, 774, 1902, 314, 1850, 1427, 8585, 292, 551, 1367, 2535, 2680, 10400, 203, 2628, 357, 526, 13980, 291, 225, 69, 631, 18980, 836, 1249, 225, 88, 76, 73, 4131, 290, 7696, 292, 551, 631, 415, 334, 2111, 7257, 774, 357, 526, 1740, 16131, 17, 37, 17, 60, 3484, 16, 2389, 291, 41798, 1047, 2296, 396, 2256, 3297, 3707, 13, 290, 459, 2843, 225, 88, 76, 73, 2803, 291, 2636, 18, 2, 0, 45, 427, 3055, 291, 225, 88, 76, 73, 1843, 345, 554, 905, 3637, 346, 654, 10910, 780, 24206, 286, 787, 326, 2271, 17, 36239, 18, 557, 18342, 442, 16, 225, 88, 76, 73, 770, 11131, 314, 427, 1801, 4977, 5890, 326, 2271, 17, 36239, 388, 5523, 504, 652, 30620, 87, 16, 1597, 644, 629, 2003, 16, 4794, 16055, 16, 291, 1249, 624, 18, 314, 427, 4126, 29654, 16, 517, 449, 1364, 551, 4957, 18, 314, 644, 1411, 4126, 225, 69, 26344, 981, 1172, 4178, 609, 720, 279, 3062, 17085, 18, 6766, 602, 314, 2891, 345, 3384, 703, 339, 225, 88, 76, 73, 602, 314, 3736, 6025, 291, 11131, 16, 1427, 1317, 346, 30620, 87, 517, 568, 1427, 6025, 291, 1761, 18, 7268, 7422, 87, 643, 724, 16, 449, 770, 952, 544, 643, 225, 88, 76, 73, 2070, 5375, 517, 952, 314, 813, 286, 3637, 383, 332, 13177, 1974, 290, 442, 602, 345, 318, 479, 544, 371, 4009, 18, 203, 45, 7208, 16, 2375, 16, 286, 949, 279, 428, 5258, 17315, 363, 11414, 1284, 291, 20999, 724, 16, 2655, 720, 332, 13177, 1974, 352, 87, 17315, 363, 11414, 16, 2454, 952, 314, 2421, 286, 502, 541, 346, 551, 17039, 18, 314, 502, 449, 813, 286, 427, 225, 69, 4960, 291, 225, 88, 76, 73, 1577, 345, 458, 1071, 449, 688, 16, 458, 783, 761, 659, 357, 286, 9410, 3544, 326, 1027, 442, 2535, 1380, 1635, 325, 1778, 352, 87, 2271, 17, 36239, 16, 1673, 371, 7284, 17, 18937 ]

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

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

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

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

[ 17438, 2347, 203, 15796, 30158, 13101, 282, 1175, 29964, 18, 23, 2372, 291, 225, 88, 76, 73, 1851, 2198, 290, 3522, 16, 290, 1175, 45192, 18, 29, 2372, 291, 609, 17707, 16, 326, 225, 69, 6622, 2914, 292, 1175, 4665, 21, 18, 22, 2372, 16, 1584, 225, 69, 2551, 3738, 292, 1175, 1791, 2372, 18, 203, 203, 829, 225, 88, 76, 73, 1851, 2198, 290, 3522, 16, 225, 88, 76, 73, 1782, 385, 2740, 6300, 40802, 44860, 45619, 290, 409, 1583, 30, 2419, 286, 5438, 16, 290, 385, 17606, 286, 13101, 1060, 1175, 2455, 2372, 423, 685, 16, 27, 3021, 21875, 291, 709, 4140, 4178, 16, 346, 629, 13708, 359, 864, 359, 1175, 3021, 2372, 18, 601, 4810, 527, 1482, 1175, 3021, 2372, 658, 225, 88, 76, 73, 4178, 16, 8743, 1361, 383, 225, 88, 76, 73, 2770, 2347, 2578, 40802, 44860, 11480, 5831, 18, 28, 2372, 859, 409, 1782, 7434, 1872, 9, 291, 709, 1361, 4178, 286, 1175, 2419, 18, 25, 2372, 11480, 3859, 18, 24, 2372, 658, 225, 88, 76, 73, 1560, 17, 887, 6330, 14310, 2938, 8402, 18, 4178, 873, 8743, 1361, 2578, 36377, 3260, 19169, 18, 203, 203, 829, 225, 88, 76, 73, 3261, 16, 5409, 30158, 2154, 225, 88, 76, 73, 4609, 1201, 1782, 292, 2286, 16, 658, 1999, 17702, 284, 526, 38115, 346, 1175, 7055, 18, 23, 2372, 18, 18571, 886, 423, 609, 5819, 1706, 3671, 11480, 4299, 18, 25, 2372, 873, 3610, 11480, 825, 18, 22, 2372, 873, 4409, 11480, 1996, 18, 23, 2372, 13, 290, 4681, 11480, 1996, 18, 21, 2372, 859, 203, 203, 6604, 2155, 203, 521, 1782, 385, 2740, 431, 14347, 16152, 4023, 10988, 325, 2825, 5866, 325, 2355, 452, 16, 2286, 18, 332, 18329, 17, 4470, 16, 10406, 290, 832, 47, 19070, 9223, 3938, 325, 1589, 377, 16, 2286, 18, 409, 18329, 17, 4470, 2709, 2134, 1706, 689, 1759, 512, 2097, 21359, 17, 45090, 9963, 11003, 6, 396, 69, 4770, 17, 23475, 286, 225, 88, 76, 73, 1963, 689, 45, 33172, 828, 18696, 689, 15796, 30158, 30, 351, 18067, 4961, 291, 225, 88, 76, 73, 12897, 6, 396, 69, 4266, 17, 10291, 2578, 17, 88, 76, 73, 17, 33189, 1787, 873, 290, 689, 11368, 404, 2749, 3546, 8278, 6, 396, 69, 7448, 17, 49364, 8398, 325, 5409, 526, 3240, 1517, 11902, 859, 557, 225, 88, 76, 73, 1851, 2198, 16, 225, 69, 5510, 8150, 11504, 18329, 17, 4470, 954, 10406, 385, 2740, 359, 225, 69, 17178, 7460, 346, 225, 69, 4935, 1041, 6650, 225, 69, 31177, 17, 10291, 2443, 88, 476, 9706, 689, 7872, 2097, 9852, 8150, 2656, 203, 203, 20689, 203, 203, 26400, 3918, 203, 2091, 43250, 38603, 16, 225, 88, 76, 73, 1782, 504, 279, 8569, 6825, 292, 225, 1653, 325, 225, 4911, 290, 279, 3661, 6825, 292, 1913, 409, 1622, 526, 4293, 18242, 13485, 16, 689, 15796, 30158, 6255, 1397, 33876, 18768, 526, 4908, 4190, 346, 5321, 2202, 225, 45041, 2241, 345, 905, 4262, 6711, 11349, 1027, 41517, 38528, 225, 88, 76, 73, 42725, 292, 2360, 1131, 1556, 1507, 48896, 39105, 16, 225, 88, 76, 73, 1782, 504, 225, 69, 3954, 292, 13683, 524, 292, 2313, 1653, 325, 3538, 12958, 16, 16805, 689, 44787, 388, 3661, 4911, 2656, 6506, 4942, 1115, 1047, 431, 20416, 39589, 3269, 225, 88, 76, 73, 1782, 279, 3661, 6445, 292, 689, 37, 25909, 6, 325, 279, 332, 15, 286, 393, 5259, 18, 203, 203, 20765, 323, 15584, 383, 8918, 3269, 225, 88, 76, 73, 1782, 685, 524, 292, 848, 6222, 16, 37866, 225, 88, 76, 73, 689, 87, 638, 445, 333, 6, 11982, 290, 33115, 32199, 526, 2358, 16, 1155, 458, 3110, 345, 19879, 270, 644, 652, 21732, 506, 18, 5075, 12114, 560, 30501, 383, 10988, 18301, 3269, 225, 88, 76, 73, 1782, 225, 69, 1866, 38, 11, 6445, 16, 3902, 357, 385, 689, 4348, 336, 16, 290, 7931, 16, 290, 7505, 359, 2823, 359, 225, 69, 1197, 373, 325, 225, 69, 5481, 280, 2918, 2995, 16550, 709, 7639, 346, 225, 88, 76, 73, 3481, 1863, 18, 32655, 1351, 2417, 383, 409, 10061, 30447, 3269, 357, 384, 524, 292, 848, 6222, 16, 37866, 225, 88, 76, 73, 689, 495, 25270, 4452, 838, 6, 292, 33115, 32199, 290, 35807, 517, 17230, 225, 88, 76, 73, 1782, 6789, 23805, 1596, 286, 38647, 8415, 290, 6474, 1694, 225, 88, 76, 73, 2449, 4432, 292, 5409, 30158, 18, 13585, 374, 34196, 94, 42601, 1069, 325, 13769, 41, 2867, 18, 1633, 3269, 357, 384, 524, 292, 832, 6222, 16, 29264, 345, 5409, 689, 2336, 272, 423, 1862, 1596, 45595, 8842, 286, 10254, 1675, 6673, 472, 2656, 203, 203, 8323, 556, 1739, 1639, 385, 4293, 292, 225, 88, 76, 73, 1782, 2653, 779, 3020, 346, 225, 88, 76, 73, 2929, 16, 3902, 16, 689, 1371, 313, 2463, 987, 225, 88, 76, 73, 2929, 313, 459, 339, 592, 6510, 2670, 290, 4856, 16, 689, 45, 1033, 691, 313, 424, 987, 313, 2164, 2648, 286, 339, 592, 6510, 1556, 3988, 19879, 270, 526, 3223, 16, 24906, 16, 23728, 581, 225, 88, 76, 73, 2072, 290, 225, 88, 76, 73, 7535, 292, 522, 3198, 359, 689, 495, 446, 6518, 34090, 2656, 203, 203, 3286, 49801, 203, 829, 225, 88, 76, 73, 724, 1302, 819, 225, 88, 76, 73, 1782, 526, 3216, 16, 3074, 291, 3080, 3317, 18951, 357, 326, 689, 446, 13816, 24429, 6, 290, 1740, 326, 279, 30611, 423, 14347, 18, 409, 29547, 4632, 325, 225, 69, 4573, 827, 5442, 43620, 16, 596, 318, 1712, 286, 339, 23439, 286, 2532, 13338, 16, 318, 15661, 728, 346, 624, 1535, 554, 3931, 291, 522, 5465, 16, 7485, 950, 286, 3979, 279, 23439, 8401, 12569, 225, 88, 76, 73, 787, 292, 522, 7263, 546, 270, 18, 557, 3918, 16, 14347, 3179, 225, 69, 5212, 3902, 16, 689, 988, 28242, 13544, 449, 961, 543, 3293, 290, 8320, 286, 442, 2809, 16, 290, 408, 3736, 24407, 2656, 557, 522, 2072, 16, 32655, 1351, 2417, 928, 16, 37616, 285, 318, 225, 69, 16957, 4573, 696, 449, 952, 19060, 371, 13763, 1300, 30720, 545, 16, 517, 952, 357, 1767, 5409, 279, 4578, 790, 9598, 1596, 20601, 3142, 292, 548, 1556, 203, 203, 4849, 28723, 203, 203, 4899, 38484, 203, 203 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 73, 2, 0, 521, 1104, 7402, 15622, 33885, 286, 443, 5204, 664, 225, 69, 489, 570, 529, 724, 517, 357, 1071, 225, 69, 1171, 292, 1228, 1317, 720, 313, 703, 1033, 1361, 18, 601, 352, 87, 1427, 225, 69, 1171, 1191, 325, 346, 225, 88, 76, 73, 271, 6970, 5437, 18, 601, 352, 87, 5299, 286, 41749, 664, 745, 9278, 517, 857, 504, 15265, 11056, 2453, 225, 88, 76, 73, 2928, 18, 601, 352, 87, 225, 69, 10599, 8708, 517, 357, 352, 87, 823, 18767, 325, 4993, 18, 601, 2743, 225, 88, 76, 73, 2928, 286, 427, 543, 292, 225, 69, 761, 17, 26349, 2711, 4439, 290, 1146, 339, 225, 69, 29628, 650, 357, 1822, 286, 489, 570, 4172, 18, 203, 23447, 5239, 677, 30, 48007, 877, 286, 1819, 4993, 346, 770, 225, 69, 1162, 1406, 18188, 18, 203, 54, 7936, 30, 3988, 396, 22922, 1260, 16, 848, 352, 1537, 550, 39734, 17, 42847, 27754, 873, 5857, 1571, 396, 22922, 1814, 16, 848, 352, 2288, 550, 18574, 27754, 13, 203, 38, 15574, 30, 23918, 47833, 16, 41441, 38124, 40785, 16, 203, 38, 695, 805, 30, 4970, 4803, 2510, 346, 962, 18744, 20106, 396, 40309, 286, 225, 88, 76, 73, 1976, 517, 346, 27323, 20106, 873, 23918, 23617, 2, 0, 40, 20570, 915, 7465, 286, 225, 88, 76, 73, 4573, 1490, 720, 225, 69, 1285, 1708, 346, 225, 88, 76, 73, 3216, 292, 522, 616, 34561, 3685, 31656, 550, 2353, 18, 409, 724, 797, 8396, 1143, 2, 0, 428, 880, 395, 18, 30030, 1010, 1507, 2011, 3498, 16, 2079, 203, 4696, 203, 521, 33728, 2483, 346, 225, 88, 76, 73, 724, 22445, 292, 409, 25220, 20034, 285, 18, 601, 987, 30, 616, 4647, 44530, 10053, 42111, 20038, 3535, 32597, 4647, 696, 9687, 8793, 10362, 286, 8989, 709, 1136, 12176, 326, 6632, 15079, 291, 1920, 5028, 696, 37411, 1076, 203, 521, 22445, 385, 8548, 325, 5491, 50055, 4488, 16, 225, 69, 9550, 6944, 326, 9049, 292, 8850, 18, 4488, 1608, 596, 385, 24815, 431, 2677, 3296, 11196, 6819, 16, 504, 543, 720, 2313, 16, 1318, 5491, 9855, 16, 290, 504, 14526, 35566, 581, 225, 88, 76, 73, 1920, 5028, 1608, 3972, 291, 633, 16024, 16, 616, 39085, 905, 339, 1358, 5128, 203, 39085, 9550, 4771, 7238, 16943, 556, 11733, 13211, 16, 596, 504, 543, 720, 1946, 28, 16, 1318, 5491, 9855, 16, 857, 39630, 4488, 352, 87, 16024, 290, 2657, 423, 8850, 30, 616, 988, 905, 427, 652, 225, 88, 76, 73, 724, 5128, 203, 1989, 409, 25220, 20034, 285, 6267, 709, 2983, 325, 5855, 16, 357, 3716, 225, 88, 76, 73, 22445, 286, 744, 225, 69, 41723, 2731, 18, 409, 17592, 22445, 928, 225, 88, 76, 73, 616, 44530, 10053, 42111, 20038, 3535, 32597, 550, 385, 345, 225, 88, 76, 73, 9687, 13713, 644, 11307, 286, 616, 37211, 2540, 550, 225, 69, 18709, 24760, 286, 8989, 225, 88, 76, 73, 1627, 1443, 1110, 18, 203, 3018, 225, 88, 76, 73, 41723, 35806, 385, 568, 3660, 18, 203, 74, 3358, 724, 30, 409, 25220, 17143, 352, 87, 6000, 643, 3190, 32411, 18, 409, 9687, 2361, 8793, 979, 449, 6158, 286, 8989, 709, 1920, 1443, 1110, 290, 979, 449, 6158, 286, 1290, 225, 69, 8014, 286, 8989, 1059, 1443, 1110, 18, 557, 2066, 16, 225, 88, 76, 73, 10336, 979, 449, 6158, 325, 442, 8014, 383, 479, 18, 13839, 16, 225, 88, 76, 73, 8014, 504, 652, 7035, 286, 279, 10336, 7057, 16, 827, 660, 318, 279, 10513, 17206, 345, 357, 459, 6574, 18, 409, 9550, 12143, 292, 225, 88, 76, 73, 7057, 16, 596, 318, 568, 225, 88, 76, 73, 4889, 4467, 292, 225, 88, 76, 73, 13729, 16, 8636, 1723, 357, 318, 45679, 18, 1238, 318, 786, 3497, 836, 326, 9687, 388, 654, 609, 1627, 286, 8989, 709, 1920, 19348, 3559, 291, 2079, 18, 203, 4139, 352, 87, 670, 1902, 4527, 5855, 383, 225, 88, 76, 73, 9687, 17487, 18, 203, 37, 9550, 2260, 292, 225, 88, 76, 73, 10336, 16, 2361, 2000, 18, 25042, 7902, 88, 24050, 16, 4650, 225, 69, 616, 47651, 550, 8014, 291, 2507, 292, 616, 9145, 3746, 815, 550, 225, 88, 76, 73, 1627, 352, 87, 1136, 15079, 19348, 10362, 16, 573, 225, 88, 76, 73, 8014, 45034, 6000, 371, 616, 74, 44337, 18191, 1076, 409, 857, 17, 1373, 6288, 12143, 16, 980, 35130, 399, 9550, 18479, 16559, 2429, 16, 385, 1779, 286, 3188, 225, 88, 76, 73, 8014, 286, 225, 88, 76, 73, 13729, 352, 87, 16347, 5143, 696, 952, 18061, 286, 225, 88, 76, 73, 7057, 318, 225, 69, 2505, 1788, 16, 3060, 286, 225, 88, 76, 73, 10336, 4105, 561, 616, 47651, 550, 21510, 345, 225, 88, 76, 73, 10336, 1071, 449, 949, 527, 3856, 18, 203, 4011, 352, 87, 357, 18, 203, 19825, 578, 286, 225, 88, 76, 73, 2695, 292, 225, 88, 76, 73, 17592, 25220, 20034, 285, 2983, 16, 357, 318, 449, 2792, 345, 225, 88, 76, 73, 8793, 11307, 616, 367, 15424, 3773, 431, 10205, 6158, 550, 286, 616, 2510, 3338, 550, 7902, 88, 24050, 352, 87, 8014, 18, 557, 2066, 16, 225, 88, 76, 73, 823, 1787, 9581, 345, 25220, 20034, 285, 14542, 291, 225, 88, 76, 73, 2983, 290, 10224, 291, 225, 88, 76, 73, 22445, 18849, 442, 2731, 286, 339, 10008, 18, 203, 521, 1787, 2719, 345, 7902, 88, 24050, 4974, 225, 88, 76, 73, 5028, 8014, 9805, 981, 225, 69, 6158, 325, 225, 69, 3190, 4885, 1690, 18, 1979, 2429, 7035, 225, 88, 76, 73, 8014, 286, 225, 88, 76, 73, 16347, 5143, 16, 225, 88, 76, 73, 8793, 20446, 346, 225, 88, 76, 73, 4885, 6158, 18, 738, 4885, 6158, 318, 225, 88, 76, 73, 6158, 4350, 291, 225, 88, 76, 73, 1787, 5381, 431, 409, 25220, 20034, 285, 18, 409, 5028, 8014, 3020, 385, 449, 11307, 325, 18, 203, 521, 11458, 25220, 20034, 285, 1806, 35437, 1344, 225, 88, 76, 73, 1150, 927, 1727, 10529, 13080, 4138, 12964, 30409, 2705, 22525, 345, 5620, 33044, 643, 16438, 23278, 308, 19348, 3559, 16956, 291, 573, 6819, 17837, 3285, 6819, 225, 69, 6651, 423, 3984, 458, 644, 1902, 2970, 18, 9687, 385, 554, 292, 4266, 3984, 326, 573, 225 ]

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

[ 5558, 291, 5697, 326, 225, 69, 18755, 26151, 18, 203, 203, 23317, 203, 29979, 21360, 526, 4060, 504, 652, 11601, 292, 15525, 18, 557, 3486, 16, 819, 225, 88, 76, 73, 528, 18, 55, 18, 25710, 291, 2570, 4981, 11929, 345, 857, 14864, 292, 225, 88, 76, 73, 2090, 7073, 16, 42206, 12596, 299, 1985, 42481, 4392, 16, 644, 616, 3759, 522, 1420, 1143, 273, 403, 483, 88, 16, 41758, 1621, 290, 2646, 16, 10535, 2219, 22793, 16, 290, 1327, 21496, 17498, 1584, 24200, 12850, 1395, 225, 88, 76, 73, 528, 18, 55, 18, 2361, 3625, 45387, 528, 18, 55, 18, 225, 88, 76, 73, 4854, 34576, 292, 42481, 4392, 290, 522, 1201, 18, 1783, 10037, 24200, 2580, 2483, 981, 42481, 4392, 385, 3249, 14864, 16, 290, 528, 18, 55, 18, 7655, 6951, 345, 2811, 20154, 385, 3293, 292, 624, 650, 458, 6568, 42481, 4392, 286, 345, 2067, 18, 409, 723, 42481, 4392, 3269, 286, 2219, 19319, 36248, 385, 6951, 286, 427, 10815, 21128, 290, 27544, 286, 1943, 225, 88, 76, 73, 528, 18, 55, 18, 10067, 42481, 4392, 526, 5163, 810, 385, 225, 69, 4060, 6715, 16, 8759, 43631, 7010, 4599, 16, 5334, 458, 9899, 286, 970, 225, 69, 8970, 458, 5890, 18, 7010, 4599, 385, 9859, 291, 3868, 326, 403, 40341, 517, 42481, 4392, 4642, 286, 1209, 950, 291, 2347, 18, 5458, 609, 4060, 7106, 16, 23730, 395, 2583, 20811, 719, 290, 22722, 25789, 5762, 30214, 16, 643, 1100, 286, 339, 2912, 291, 46657, 15582, 16, 4794, 4497, 16, 698, 225, 88, 76, 73, 528, 18, 55, 18, 42481, 4392, 16, 596, 385, 568, 225, 69, 641, 292, 442, 49652, 16, 6488, 1059, 7106, 16, 1248, 18, 203, 203, 8893, 5153, 203, 29979, 21360, 526, 16086, 1056, 504, 652, 18951, 431, 225, 88, 76, 73, 3729, 15416, 2811, 9136, 19685, 359, 3067, 24200, 16, 2276, 650, 31915, 2655, 720, 34832, 16, 290, 19126, 7243, 371, 2078, 18, 203, 203, 11348, 1382, 203, 6005, 286, 225, 88, 76, 73, 3729, 15416, 2811, 9136, 19685, 16, 225, 88, 76, 73, 1502, 1382, 5072, 24154, 423, 1864, 15525, 16, 7473, 431, 21134, 18022, 290, 41983, 7243, 18, 3917, 72, 675, 450, 7384, 290, 33769, 38926, 37662, 18, 203, 203, 11348, 20880, 203, 29979, 21360, 526, 1502, 20880, 5072, 318, 568, 11601, 292, 15525, 16, 346, 225, 69, 864, 1398, 292, 2507, 31189, 290, 5591, 10399, 16, 290, 346, 5006, 1541, 961, 41023, 19126, 323, 286, 4737, 2076, 290, 3197, 16, 3060, 286, 225, 69, 1891, 431, 225, 88, 76, 73, 3729, 15416, 2811, 9136, 19685, 18, 203, 203, 521, 1864, 3051, 1502, 17, 2510, 17320, 1715, 1154, 225, 88, 76, 73, 2811, 20154, 806, 2912, 225, 88, 76, 73, 39568, 292, 2151, 9804, 3100, 1175, 2455, 27, 2372, 286, 2811, 20154, 526, 3845, 25263, 989, 18, 203, 203, 9937, 3169, 5072, 203, 521, 2401, 3169, 5072, 22113, 7560, 225, 69, 2655, 864, 2972, 292, 10118, 3754, 18, 409, 5082, 3611, 7452, 16, 573, 744, 527, 543, 720, 2333, 292, 22973, 526, 20147, 16, 427, 652, 15147, 431, 225, 69, 3900, 292, 13900, 291, 2672, 286, 1621, 290, 5443, 2707, 1415, 18, 203, 203, 37, 2262, 2489, 1891, 10974, 345, 22973, 526, 2151, 17, 11868, 2508, 3709, 16, 35489, 320, 21360, 16, 385, 225, 88, 76, 73, 3313, 292, 616, 69, 17678, 3354, 292, 15525, 550, 8505, 616, 20752, 14604, 16, 3960, 4063, 16, 290, 2151, 6861, 1395, 596, 643, 35225, 2939, 754, 10118, 616, 10391, 5376, 550, 325, 2508, 961, 13226, 286, 35489, 18713, 291, 5697, 326, 7388, 290, 3410, 18, 616, 521, 3671, 17, 29979, 21360, 4630, 7665, 1395, 6246, 225, 88, 76, 73, 1891, 16, 616, 15735, 2267, 225, 69, 5306, 292, 15525, 325, 479, 5941, 1076, 203, 203, 14323, 342, 203, 29979, 21360, 526, 2666, 1056, 424, 14847, 744, 357, 2298, 286, 502, 932, 291, 225, 88, 76, 73, 1868, 18, 409, 1056, 504, 652, 3285, 571, 33036, 13944, 16, 225, 88, 76, 73, 2666, 5249, 1626, 5980, 16, 798, 2076, 48064, 8916, 16, 290, 15081, 8916, 318, 29710, 595, 17, 22151, 18, 203, 203, 28908, 3993, 203, 6910, 22973, 261, 1690, 16367, 2646, 3993, 16, 291, 2651, 544, 371, 1541, 571, 32799, 16, 290, 225, 88, 76, 73, 2151, 318, 10037, 286, 26818, 4620, 46636, 388, 2763, 1574, 286, 3946, 2076, 18, 203, 203, 50, 10260, 87, 203, 10468, 20154, 504, 652, 11601, 292, 6322, 286, 2688, 522, 1420, 658, 7231, 290, 2818, 30663, 18, 731, 8412, 225, 88, 76, 73, 6678, 526, 7704, 658, 624, 291, 225, 69, 3008, 12561, 3658, 16, 290, 9805, 12534, 1013, 522, 631, 7704, 286, 889, 303, 1958, 5193, 30663, 423, 225, 88, 76, 73, 1868, 18, 203, 203, 18384, 203, 829, 2730, 16, 225, 88, 76, 73, 4803, 10682, 1505, 292, 6131, 290, 14001, 396, 12189, 15451, 16032, 13, 7392, 2684, 291, 225, 69, 17000, 291, 3006, 834, 1237, 538, 45692, 2151, 15525, 16, 290, 35115, 225, 88, 76, 73, 8450, 359, 761, 18, 203, 203, 40182, 371, 4001, 286, 3307, 7798, 346, 9867, 2155, 326, 4969, 292, 2151, 1026, 6446, 886, 18, 203, 203, 10106, 203, 10468, 9136, 504, 652, 4001, 359, 225, 69, 1864, 2163, 326, 3251, 9638, 291, 22973, 18, 409, 1502, 1382, 290, 20880, 10153, 371, 15147, 431, 23394, 15525, 16, 346, 21134, 18022, 290, 616, 25211, 11660, 7243, 550, 961, 13434, 16, 3060, 286, 225, 88, 76, 73, 3729, 15416, 2811, 9136, 19685, 18, 203, 203, 5270, 225, 69, 2630, 292, 22973, 261, 2076, 371, 449, 6581, 16, 290, 4722, 6691, 2573, 12011, 7823, 16, 573, 27789, 775, 15525, 18, 203, 203, 16991, 702, 15525, 203, 829, 2489, 16, 30781, 363, 2481, 295, 682, 3972, 291, 528, 18, 55, 18, 3888, 345, 1240, 17, 10413, 15525, 318, 13434, 291, 22973, 18, 616, 45, 2463, 652, 1700, 17, 354, 10123, 291, 22973, 12746, 292, 1631, 658, 225, 88, 76, 73, 806, 1395, 780, 3972, 18, 616, 7957, 595, 16, 225, 88, 76, 73, 3660, 1626, 385, 39815, 6846, 359, 279, 5069, 9665, 16, 517, 225, 88, 76, 73, 9665, 504, 1411, 652, 291, 551, 2507, 18, 1507, 225, 88, 76, 73, 609, 1032, 16, 291, 32516, 16, 13733, 290, 17557 ]

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

[ 291, 225, 69, 2065, 17, 77, 82, 15749, 16, 517, 359, 225, 88, 76, 73, 3208, 11166, 16, 4476, 26004, 783, 339, 3046, 18, 203, 22, 18, 48276, 21776, 203, 7565, 346, 1491, 10322, 2076, 16, 673, 17, 13250, 3064, 16, 388, 1204, 7440, 290, 4770, 10901, 18, 3728, 16, 691, 398, 4822, 2221, 4770, 12954, 2453, 225, 88, 76, 73, 2779, 16, 544, 783, 339, 3357, 291, 1249, 624, 359, 761, 18, 203, 23, 18, 27200, 21776, 203, 1543, 424, 1934, 22355, 292, 1619, 388, 313, 424, 1934, 554, 292, 1579, 15015, 549, 13254, 18, 5750, 531, 1241, 292, 15015, 549, 13254, 1036, 18, 42644, 549, 13254, 371, 664, 654, 782, 19665, 2803, 291, 345, 544, 949, 225, 69, 8933, 292, 225, 88, 76, 73, 3289, 2543, 18, 18927, 16, 544, 3289, 2930, 991, 388, 1402, 17839, 18, 3791, 3366, 7405, 286, 3289, 225, 88, 76, 73, 17839, 290, 1353, 225, 88, 76, 73, 1621, 2986, 17839, 326, 225, 88, 76, 73, 6612, 602, 18, 2, 0, 3113, 2519, 30, 6814, 86, 51, 1669, 9028, 10586, 16, 3570, 16, 16534, 2519, 454, 16, 5242, 10586, 16, 28398, 225, 88, 76, 73, 28957, 16, 3332, 34455, 16, 3332, 34455, 60, 16, 5134, 291, 28957, 16, 5134, 291, 28957, 10772, 16, 5134, 291, 28957, 10772, 16544, 346, 20227, 16534, 2519, 454, 543, 18, 2060, 292, 1059, 1778, 16, 596, 385, 1671, 1796, 286, 3466, 531, 2257, 16, 385, 5103, 16534, 2519, 454, 18, 38257, 821, 670, 780, 928, 581, 961, 225, 69, 616, 46051, 291, 28957, 44894, 203, 17, 18071, 30, 1605, 979, 313, 724, 1620, 225, 69, 10586, 4881, 35, 203, 17, 30743, 30, 314, 352, 315, 652, 225, 69, 4881, 292, 10586, 290, 479, 1228, 10586, 12665, 1364, 314, 385, 225, 69, 5467, 18, 314, 427, 294, 42831, 6465, 16, 225, 69, 3891, 4889, 292, 3282, 8457, 664, 39992, 225, 88, 76, 73, 11427, 454, 323, 9289, 16, 4739, 83, 352, 87, 10060, 4277, 16, 290, 543, 7141, 225, 69, 7590, 1695, 1133, 21829, 472, 12700, 326, 2845, 290, 629, 28332, 5001, 8819, 290, 3762, 18, 203, 17, 18071, 30, 8928, 660, 225, 69, 1883, 2780, 650, 313, 6854, 345, 313, 2421, 286, 499, 423, 961, 225, 69, 4881, 292, 10586, 286, 225, 69, 3259, 596, 17373, 286, 225, 88, 76, 73, 10286, 16, 388, 979, 357, 715, 1671, 292, 2073, 7555, 35, 203, 17, 30743, 30, 314, 1033, 314, 1230, 2421, 286, 339, 2912, 291, 225, 88, 76, 73, 10286, 16, 314, 3972, 290, 12653, 225, 69, 1171, 359, 225, 69, 5467, 18, 11540, 3938, 530, 698, 27388, 716, 225, 69, 1162, 806, 290, 1427, 286, 1446, 225, 69, 1171, 292, 5447, 717, 291, 225, 88, 76, 73, 10586, 1504, 359, 761, 359, 3570, 225, 69, 1162, 292, 551, 13020, 664, 9123, 389, 467, 397, 290, 18681, 12622, 18, 203, 17, 18071, 30, 1838, 1071, 1597, 225, 69, 616, 11854, 291, 28957, 550, 1285, 1940, 286, 313, 35, 203, 17, 30743, 30, 23097, 527, 291, 7045, 16, 314, 1919, 352, 88, 427, 225, 69, 1171, 292, 1907, 616, 1888, 550, 596, 3719, 225, 88, 76, 73, 10286, 664, 314, 979, 290, 225, 88, 76, 73, 2960, 596, 643, 32088, 3357, 643, 1411, 609, 1778, 18, 2861, 16, 314, 688, 225, 69, 4781, 292, 10586, 17, 31464, 9116, 1119, 291, 551, 1229, 969, 290, 1344, 18, 314, 703, 427, 652, 13232, 286, 1446, 479, 803, 1778, 650, 314, 385, 225, 69, 6840, 18, 7710, 225, 69, 5134, 557, 28957, 1285, 6625, 225, 69, 6640, 423, 279, 13513, 4881, 286, 225, 69, 1504, 292, 4329, 664, 313, 18, 203, 17, 18071, 30, 1498, 660, 225, 69, 3259, 291, 10586, 596, 313, 1425, 225, 69, 2450, 2609, 35, 203, 17, 30743, 30, 12570, 35, 314, 352, 72, 1335, 1043, 19289, 1021, 11681, 445, 732, 292, 225, 88, 76, 73, 28823, 40220, 9263, 318, 225, 69, 17442, 10831, 3259, 18, 1236, 795, 17, 7069, 87, 225, 88, 76, 73, 745, 3141, 10586, 9263, 1060, 16, 318, 225, 69, 8463, 39776, 10611, 292, 10586, 4206, 16, 1767, 14510, 290, 2134, 290, 504, 225, 88, 76, 73, 43615, 10586, 1201, 1060, 18, 28034, 16, 780, 352, 87, 225, 69, 2592, 290, 314, 813, 286, 688, 670, 21148, 780, 3168, 633, 5615, 286, 16, 286, 4076, 1995, 541, 42516, 18, 203, 17, 18071, 30, 1838, 502, 313, 1033, 225, 88, 76, 73, 1924, 6019, 326, 1778, 291, 10586, 35, 203, 17, 30743, 30, 601, 6019, 2896, 517, 10389, 7091, 18, 1591, 6777, 2216, 961, 670, 357, 318, 290, 770, 1792, 1317, 16, 1778, 371, 9952, 527, 290, 1482, 519, 884, 7343, 2073, 18, 601, 352, 87, 225, 69, 5447, 595, 286, 339, 225, 69, 4881, 290, 225, 69, 13686, 952, 408, 427, 1496, 286, 541, 940, 543, 1216, 290, 541, 798, 543, 717, 720, 408, 1801, 979, 18, 3439, 602, 314, 2410, 286, 18544, 290, 5193, 10586, 952, 357, 352, 87, 827, 225, 88, 76, 73, 745, 6107, 290, 3367, 11105, 371, 2354, 18, 203, 17, 18071, 30, 996, 313, 882, 3665, 225, 69, 2450, 291, 10586, 345, 313, 352, 315, 1411, 1772, 16, 670, 703, 357, 339, 35, 203, 17, 30743, 30, 314, 352, 72, 664, 286, 1934, 551, 1032, 383, 19067, 17020, 16, 314, 427, 1579, 2547, 314, 352, 81, 31459, 1060, 2750, 345, 314, 1380, 949, 325, 19067, 326, 18, 203, 17, 18071, 30, 5721, 318, 398, 3183, 2243, 2448, 16, 290, 3183, 4750, 22456, 35, 203, 17, 30743, 30, 16134, 13045, 318, 2801, 551, 3183, 2243, 2448, 18, 46661, 325, 28971, 3568, 385, 225, 88, 76, 73, 724, 1051, 1313, 491, 23336, 3648, 314, 2897, 290, 357, 35988, 530, 527, 291, 225, 88, 76, 73, 910, 836, 396, 13624, 2448, 14216, 527, 696, 20285, 20892, 1473, 16, 556, 19528, 21359, 16, 6872, 5354, 616, 13588, 88, 354, 550, 24458, 292, 21434, 49, 22, 13, 203, 17, 18071, 30, 8442, 345, 442, 318, 2330, 1156, 1324, 286, 7022, 398, 1474, 19, 31603, 10586, 1512, 18, 203, 30743, 30, 5049, 2155, 2477, 30, 203, 988, 703, 664, 286, 4084, 16534, 2519, 454, 326, 2158, 225, 88, 76, 73, 595, 286, 3466, 531, 2257, 16, 517, 543, 9082 ]

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

[ 318, 1541, 4184, 359, 225, 69, 7019, 4467, 596, 1670, 1159, 225, 88, 76, 73, 32767, 7352, 292, 225, 88, 76, 73, 478, 12115, 698, 40121, 754, 225, 88, 76, 73, 34375, 7352, 286, 3450, 225, 88, 76, 73, 1868, 423, 16885, 3237, 267, 472, 21992, 18, 203, 203, 2177, 385, 225, 88, 76, 73, 4467, 292, 4433, 526, 2232, 1251, 4771, 16, 3178, 291, 2262, 2616, 16, 1535, 522, 2371, 18, 203, 203, 10220, 969, 203, 2177, 385, 3157, 325, 377, 2494, 14063, 291, 3109, 700, 9932, 4227, 16, 5460, 356, 4753, 16, 11237, 15812, 359, 225, 88, 76, 73, 14423, 292, 225, 88, 76, 73, 1201, 18, 731, 644, 832, 9979, 9127, 290, 685, 9979, 11902, 18, 1728, 3223, 385, 3988, 30718, 2248, 76, 73, 16, 596, 724, 3220, 291, 225, 88, 76, 73, 4060, 290, 1708, 3989, 225, 88, 76, 73, 3625, 292, 45369, 3370, 16, 290, 522, 2974, 385, 225, 69, 35244, 784, 18, 731, 3500, 522, 4218, 2528, 383, 30718, 611, 79, 2895, 3049, 16, 11192, 327, 2895, 290, 11192, 327, 2895, 5198, 10128, 27626, 9291, 8377, 18, 3273, 458, 5801, 11192, 327, 2895, 27626, 9291, 8377, 326, 8635, 2528, 18, 1979, 7076, 225, 88, 76, 73, 12669, 9765, 16, 458, 6025, 383, 225, 88, 76, 73, 6535, 42922, 89, 9108, 45369, 3370, 12898, 6953, 3049, 291, 12812, 290, 2406, 359, 225, 69, 12898, 8576, 291, 225, 88, 76, 73, 45369, 3370, 3625, 291, 6535, 296, 16, 11192, 20854, 382, 16, 39825, 7550, 16, 9968, 43990, 8377, 290, 39102, 18, 203, 203, 2177, 4308, 2325, 902, 29037, 17841, 555, 33053, 18518, 2895, 15863, 2829, 2325, 902, 568, 1712, 359, 3649, 700, 3166, 4152, 3166, 20412, 2248, 76, 73, 291, 2698, 10708, 18, 1236, 385, 225, 69, 15758, 4726, 383, 8121, 20344, 2512, 18499, 11, 3049, 16, 3109, 700, 9932, 16, 11192, 327, 2895, 18, 1728, 3198, 318, 1498, 12022, 30718, 2248, 76, 73, 16, 596, 2750, 2654, 291, 3994, 18, 203, 203, 45394, 560, 555, 69, 526, 2630, 9979, 5597, 33141, 7373, 16, 385, 4308, 286, 428, 387, 293, 4944, 1773, 281, 328, 16, 225, 88, 76, 73, 2677, 16487, 12143, 292, 225, 88, 76, 73, 39102, 19888, 3721, 16, 596, 385, 225, 88, 76, 73, 9979, 3845, 292, 5604, 7661, 293, 4944, 1773, 281, 328, 18, 203, 203, 37, 5326, 2248, 76, 73, 3904, 325, 1583, 2262, 2489, 383, 225, 88, 76, 73, 2184, 292, 18337, 383, 522, 9127, 5373, 93, 287, 4944, 526, 8957, 16, 827, 458, 385, 2354, 819, 4721, 478, 12115, 16, 291, 9968, 356, 11989, 4568, 18, 409, 3028, 385, 225, 69, 13346, 31, 458, 4164, 644, 225, 69, 2328, 3727, 18, 203, 203, 21572, 2269, 203, 2691, 225, 88, 76, 73, 478, 12115, 4120, 6653, 431, 5897, 49326, 24220, 4568, 291, 11153, 16, 458, 385, 10650, 286, 1620, 554, 292, 225, 88, 76, 73, 3173, 3506, 7227, 291, 11237, 15812, 18, 731, 3989, 478, 12115, 291, 11153, 754, 378, 17915, 284, 579, 354, 9569, 8551, 33872, 425, 8018, 2895, 16, 827, 458, 385, 823, 2220, 359, 40406, 33963, 4568, 38048, 21604, 46818, 38048, 1043, 47356, 10329, 2196, 1592, 18, 12898, 8576, 47475, 466, 338, 2571, 7348, 8551, 33872, 425, 361, 5165, 581, 11211, 560, 555, 69, 290, 819, 225, 88, 76, 73, 724, 5747, 383, 1466, 4910, 321, 5373, 93, 267, 11518, 41230, 19778, 291, 1104, 317, 2571, 16, 458, 8985, 522, 5435, 286, 3630, 225, 88, 76, 73, 932, 16, 5801, 478, 12115, 4120, 383, 5897, 49326, 24220, 4568, 526, 4194, 7970, 2347, 383, 225, 88, 76, 73, 6065, 4691, 3625, 325, 10022, 3568, 18, 557, 6799, 458, 2154, 279, 3577, 2260, 292, 478, 12115, 819, 15815, 277, 423, 225, 88, 76, 73, 1616, 18, 731, 385, 568, 1712, 291, 1579, 4590, 30, 1043, 47356, 10329, 16, 46818, 40521, 22278, 16, 4584, 16, 14652, 2417, 5897, 989, 290, 428, 4905, 8018, 2895, 389, 22315, 328, 512, 18, 203, 203, 5733, 798, 3506, 5940, 16, 458, 13618, 941, 17, 87, 12879, 1194, 16251, 290, 385, 30716, 291, 2764, 18, 731, 6653, 798, 37415, 290, 8791, 2497, 11064, 346, 2219, 3993, 16, 5068, 290, 2155, 14462, 479, 1060, 39102, 16, 4242, 12813, 292, 1924, 478, 12115, 2988, 18, 557, 478, 12115, 5634, 322, 16402, 292, 11262, 16, 11211, 560, 555, 69, 385, 8356, 286, 1083, 225, 88, 76, 73, 30910, 444, 292, 225, 88, 76, 73, 857, 8517, 5604, 7661, 355, 20339, 8018, 16414, 382, 373, 423, 6340, 81, 885, 7947, 290, 3054, 225, 88, 76, 73, 30910, 444, 3897, 18, 731, 385, 8227, 225, 69, 4684, 292, 21457, 286, 3630, 225, 88, 76, 73, 6340, 81, 885, 3727, 1535, 1136, 18, 1878, 3288, 325, 2355, 832, 16, 11262, 16, 1689, 225, 88, 76, 73, 45993, 20416, 291, 42189, 18465, 16, 517, 786, 609, 1592, 5459, 18, 11211, 560, 555, 69, 1509, 346, 430, 1007, 321, 30794, 5839, 902, 16, 34130, 16, 428, 4905, 290, 1579, 1761, 643, 9859, 325, 225, 88, 76, 73, 1876, 292, 2355, 848, 16, 11262, 819, 961, 11959, 292, 8227, 225, 88, 76, 73, 4684, 292, 21457, 18, 203, 203, 5733, 442, 927, 16, 458, 1112, 1710, 12100, 3332, 78, 46103, 7354, 326, 225, 88, 76, 73, 724, 595, 827, 458, 724, 7792, 286, 3332, 78, 46103, 7354, 291, 6442, 291, 10858, 18, 30718, 2248, 76, 73, 385, 568, 225, 88, 76, 73, 910, 1279, 292, 3332, 78, 46103, 7354, 291, 522, 1172, 1477, 18, 30350, 16, 346, 225, 88, 76, 73, 14557, 292, 225, 88, 76, 73, 1627, 292, 5864, 291, 2698, 10687, 16, 10483, 5122, 261, 328, 512, 16, 3392, 267, 11518, 421, 12207, 328, 512, 16, 11211, 560, 555, 69, 16, 35047, 495, 362, 9569, 11211, 287, 11989, 38048, 22926, 2512, 2591, 290, 1579, 1761, 643, 2740, 325, 2698, 2399, 16, 10687, 18, 1783, 2740, 962, 1592, 643, 568, 3577, 291, 12709, 225, 88, 76, 73, 3216, 292, 609, 3506, 16060, 290, 22805, 2614, 225, 88, 76, 73, 2839, 18, 7661, 546, 4753, 24220, 4568, 526, 1577, 325, 1466, 4910, 321, 5373, 93, 267, 11518, 41230, 19778, 291, 1104, 317, 2571, 385, 519, 11703, 383, 345, 595, 18, 557, 225, 88, 76, 73, 15248, 16, 8303 ]

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

[ 73, 24018, 3537, 5349, 290, 5981, 624, 286, 10691, 286, 3469, 42008, 10519, 290, 4532, 2895, 16, 6072, 18, 203, 409, 13883, 8670, 25051, 4321, 385, 3178, 16, 3500, 346, 709, 884, 8891, 16, 517, 4367, 5316, 5508, 14099, 286, 41215, 357, 2340, 3856, 18, 203, 5134, 643, 2123, 225, 88, 76, 73, 1054, 286, 6158, 291, 225, 88, 76, 73, 9243, 18, 203, 5070, 8517, 5604, 14080, 18751, 3823, 225, 69, 4576, 1537, 16, 1318, 6533, 286, 225, 88, 76, 73, 724, 1029, 32703, 596, 882, 6104, 423, 225, 88, 76, 73, 1851, 6248, 286, 3610, 291, 1490, 720, 1872, 1477, 18, 203, 409, 9447, 4368, 292, 225, 88, 76, 73, 1851, 2198, 36387, 225, 88, 76, 73, 19314, 292, 5418, 4467, 23542, 603, 18, 1466, 967, 811, 225, 88, 76, 73, 9948, 43785, 3408, 326, 1482, 279, 5096, 7467, 6579, 291, 26166, 16, 7045, 291, 16566, 18, 203, 15908, 8909, 292, 1063, 12717, 696, 1979, 2039, 292, 291, 28599, 16, 225, 69, 631, 8452, 292, 965, 2182, 17, 1448, 290, 7509, 325, 14382, 346, 279, 9898, 21767, 291, 1063, 12717, 16, 3300, 346, 5224, 22062, 6130, 20261, 355, 337, 15406, 290, 522, 3564, 1027, 544, 643, 9922, 346, 519, 797, 17, 2996, 17, 765, 4159, 18, 409, 2735, 11181, 225, 88, 76, 73, 3727, 5200, 961, 14709, 9311, 16, 517, 519, 4159, 385, 5588, 18, 203, 31769, 643, 2404, 286, 4461, 554, 292, 225, 88, 76, 73, 8083, 325, 225, 88, 76, 73, 8199, 7828, 3024, 3170, 4119, 16, 346, 24169, 393, 18, 351, 18, 421, 18, 17306, 281, 989, 19016, 522, 5457, 18, 203, 409, 43529, 88, 76, 39134, 17329, 225, 88, 76, 73, 1851, 2198, 5349, 3062, 3849, 385, 32445, 383, 14869, 7591, 16, 1063, 2229, 18, 203, 7202, 3586, 685, 486, 1860, 966, 4195, 385, 3178, 291, 1099, 367, 1969, 9012, 16, 41032, 18, 203, 17372, 30, 23842, 378, 19471, 16, 1644, 6693, 16, 1083, 4750, 22240, 326, 225, 88, 76, 73, 21179, 9660, 13107, 16, 5597, 286, 21742, 378, 19471, 16, 291, 5218, 5110, 16, 14133, 396, 72, 18, 9403, 5507, 2212, 1341, 356, 293, 16, 22886, 666, 1593, 4260, 6666, 16, 14864, 292, 225, 88, 76, 73, 1911, 18, 10528, 290, 1911, 18, 37029, 13268, 12999, 1154, 2107, 2446, 3299, 16, 12702, 292, 225, 88, 76, 73, 25795, 3849, 6759, 16, 25795, 20400, 6525, 16, 290, 3062, 1010, 526, 6525, 16, 291, 30174, 34162, 16, 6758, 22886, 567, 396, 614, 22158, 13, 396, 72, 18, 10945, 5507, 48561, 16188, 16, 1644, 2746, 2946, 16, 3313, 326, 225, 88, 76, 73, 5402, 19197, 423, 10679, 286, 14541, 16, 291, 26780, 16, 4278, 396, 72, 18, 6890, 13, 203, 389, 920, 30, 16944, 478, 533, 32710, 16, 5316, 17, 14211, 16361, 4467, 16, 7754, 292, 225, 88, 76, 73, 5049, 26836, 292, 225, 88, 76, 73, 6248, 292, 9732, 290, 26296, 290, 2260, 292, 225, 88, 76, 73, 24077, 43886, 3556, 291, 4681, 396, 588, 21889, 532, 13, 396, 70, 18, 29009, 13, 203, 203, 6974, 1814, 16, 16667, 396, 17077, 13, 1563, 47083, 1921, 291, 35606, 380, 4751, 31347, 16, 6072, 2483, 6475, 2332, 1584, 225, 88, 76, 73, 42198, 7362, 729, 819, 225, 88, 76, 73, 10843, 292, 7070, 47083, 482, 8931, 596, 10973, 286, 21097, 519, 6728, 286, 225, 88, 76, 73, 3537, 5349, 18, 409, 26144, 3682, 225, 88, 76, 73, 5316, 4367, 5349, 6767, 940, 292, 225, 88, 76, 73, 3442, 1509, 225, 88, 76, 73, 2882, 3703, 18, 203, 409, 319, 16057, 11583, 3909, 225, 88, 76, 73, 43723, 1038, 7479, 291, 577, 12207, 11651, 23363, 16, 2961, 16, 346, 6463, 43723, 1038, 16, 1524, 356, 11651, 16, 17449, 382, 9108, 16, 319, 16057, 923, 94, 4802, 16, 290, 19824, 2467, 5050, 225, 88, 76, 73, 1695, 18, 203, 203, 6974, 1519, 16, 16667, 396, 17261, 13, 1563, 409, 33327, 5349, 5401, 279, 16870, 4411, 16, 225, 88, 76, 73, 37313, 286, 225, 88, 76, 73, 33327, 3062, 7044, 18, 203, 409, 1946, 23, 4263, 17832, 18157, 292, 225, 88, 76, 73, 3194, 5349, 385, 32445, 18, 203, 409, 6759, 292, 640, 18, 28498, 3178, 225, 88, 76, 73, 3523, 3246, 335, 40310, 3049, 291, 21415, 335, 391, 16, 11045, 18, 203, 1644, 11394, 7804, 7929, 4806, 299, 18454, 522, 19096, 13319, 409, 18641, 383, 225, 88, 76, 73, 16516, 13748, 291, 1063, 2229, 2086, 16, 2375, 41940, 507, 4911, 5981, 357, 286, 2405, 819, 1220, 7568, 18, 203, 203, 6974, 2272, 16, 16667, 396, 16585, 13, 1563, 15908, 8909, 292, 1063, 12717, 696, 7870, 1477, 819, 225, 88, 76, 73, 3727, 325, 6130, 20261, 355, 337, 15406, 290, 522, 1201, 16, 225, 69, 4964, 385, 9471, 286, 13910, 754, 1063, 12717, 41463, 323, 431, 225, 88, 76, 73, 982, 4246, 326, 225, 88, 76, 73, 965, 871, 40832, 3300, 291, 15556, 18, 409, 4964, 3909, 346, 30, 689, 4274, 427, 1411, 6089, 530, 290, 544, 1411, 459, 4466, 314, 714, 670, 313, 1515, 23947, 1947, 290, 398, 28654, 4060, 1015, 225, 88, 76, 73, 15908, 8909, 1556, 1979, 1579, 543, 15645, 16, 225, 88, 76, 73, 4964, 11929, 345, 691, 9520, 1452, 385, 2533, 291, 4354, 819, 17479, 325, 225, 88, 76, 73, 1737, 5855, 16, 458, 703, 10804, 225, 88, 76, 73, 14382, 18, 203, 5224, 3290, 13362, 69, 395, 322, 1081, 1623, 2602, 380, 7989, 310, 38570, 7989, 1623, 44039, 5738, 385, 5141, 291, 44039, 5738, 16, 5963, 18, 601, 16675, 346, 609, 8038, 658, 225, 88, 76, 73, 1358, 3503, 286, 1620, 225, 88, 76, 73, 361, 27213, 1226, 14116, 2572, 83, 27730, 12271, 21068, 18, 203, 17372, 30, 314, 22131, 15419, 9385, 16, 5316, 20004, 18220, 16, 554, 292, 225, 88, 76, 73, 6246, 10242, 8288, 18327, 11551, 326, 225, 88, 76, 73, 16612, 21152, 21671, 583, 16, 291, 35489, 6922, 396, 72, 18, 3486, 13, 203, 203, 6974, 2116, 16, 16667, 396, 14155, 13, 1563, 409, 9953, 3582, 1173, 6117, 555, 9561, 225, 88, 76, 73, 11592, 19450, 24453, 291, 225, 69, 797, 17, 11752, 19125, 286, 1419, 225, 88, 76, 73, 5277, 9060, 3525, 16, 19499, 624, 286, 748, 1584, 225, 88, 76, 73, 14145, 1594 ]

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

[ 291, 654, 2368, 408, 3433, 313, 18, 2, 0, 70, 447, 2812, 203, 521, 10498, 3675, 8150, 3586, 385, 307, 17, 16974, 291, 2209, 292, 4597, 16, 290, 318, 1227, 286, 479, 1389, 4848, 18, 707, 2750, 427, 581, 10225, 1592, 16, 1119, 4062, 290, 4750, 18, 707, 427, 1592, 292, 479, 6843, 346, 11417, 16539, 5912, 290, 1046, 3265, 292, 1185, 18, 203, 1926, 371, 798, 3772, 689, 23646, 6, 5124, 292, 531, 2595, 16, 359, 761, 359, 531, 2575, 359, 225, 69, 1310, 3084, 291, 531, 1504, 18, 8150, 2595, 1592, 371, 2505, 286, 4133, 7057, 14060, 290, 9058, 5770, 291, 2595, 290, 1504, 2547, 18, 203, 829, 1374, 286, 1118, 531, 20432, 3064, 16, 408, 427, 3118, 1046, 1938, 17, 24806, 2141, 573, 1706, 531, 2998, 17, 46868, 27554, 14823, 4928, 18, 203, 988, 371, 1592, 292, 409, 2090, 3721, 292, 2361, 8150, 25749, 16, 3726, 18, 203, 387, 409, 8150, 3586, 292, 1063, 7185, 16, 4010, 1148, 774, 17797, 5158, 203, 29962, 203, 29962, 318, 1227, 286, 479, 1389, 4848, 18, 389, 1045, 371, 1175, 3021, 326, 3197, 1175, 4665, 326, 3366, 18, 203, 1543, 424, 2920, 1036, 326, 1216, 325, 708, 286, 1976, 443, 18, 203, 13812, 805, 203, 13812, 805, 371, 2404, 225, 88, 76, 73, 1361, 5691, 292, 1040, 1285, 2427, 754, 1589, 290, 371, 2404, 383, 225, 88, 76, 73, 10498, 3675, 1851, 19506, 3536, 383, 3275, 3536, 3568, 16, 10498, 3675, 16, 16066, 12381, 49143, 6468, 5523, 6246, 18, 7673, 225, 69, 1241, 292, 527, 10391, 277, 5940, 290, 609, 2141, 693, 2, 0, 52, 1534, 5485, 9072, 1138, 8312, 292, 2361, 36494, 8717, 71, 293, 989, 22610, 582, 396, 86, 13, 359, 458, 19311, 522, 18124, 5142, 346, 2601, 8334, 16, 2593, 225, 88, 76, 73, 319, 22389, 16581, 16, 383, 225, 88, 76, 73, 29077, 16, 2209, 2116, 16, 2855, 18, 2, 0, 33361, 292, 225, 69, 12156, 3670, 1249, 291, 17, 945, 39333, 3026, 4997, 346, 225, 69, 2825, 4543, 18, 203, 41401, 44575, 94, 9012, 16, 10124, 17, 48, 5878, 69, 17034, 203, 7552, 3008, 16, 8077, 14642, 203, 46690, 30, 1136, 18, 2288, 2419, 19, 1996, 18, 4979, 6181, 916, 203, 1647, 318, 357, 581, 35, 203, 521, 39333, 1681, 766, 2743, 14267, 47258, 12156, 3670, 346, 554, 4126, 290, 1342, 225, 88, 76, 73, 787, 292, 2647, 1251, 16, 2375, 16, 357, 4328, 864, 9886, 290, 3255, 8342, 18, 557, 17, 945, 39333, 1681, 766, 318, 543, 10283, 290, 4328, 1490, 3255, 8342, 16, 517, 225, 88, 76, 73, 14232, 3670, 318, 6478, 346, 225, 69, 1171, 292, 7743, 18, 707, 1552, 279, 12644, 326, 28753, 279, 4720, 43970, 292, 225, 88, 76, 73, 3670, 345, 357, 318, 6095, 346, 279, 16656, 983, 12644, 291, 1162, 3925, 19561, 225, 88, 76, 73, 3670, 346, 864, 1604, 18, 203, 23774, 13596, 203, 4505, 318, 357, 1263, 35, 203, 521, 16656, 983, 12644, 318, 1013, 326, 7743, 22479, 16, 517, 691, 660, 318, 225, 69, 1171, 292, 7743, 225, 88, 76, 73, 12644, 2569, 798, 38375, 286, 623, 225, 69, 877, 1873, 18, 996, 225, 88, 76, 73, 4720, 3125, 318, 2405, 286, 225, 88, 76, 73, 11025, 3125, 16, 225, 88, 76, 73, 1319, 292, 29239, 318, 6277, 290, 225, 88, 76, 73, 1604, 292, 225, 88, 76, 73, 1873, 7380, 14672, 18, 707, 18033, 1249, 225, 69, 25577, 286, 723, 286, 16091, 225, 69, 1317, 4720, 3125, 18, 738, 2149, 32098, 345, 225, 88, 76, 73, 12644, 5161, 291, 225, 69, 1491, 5711, 290, 225, 88, 76, 73, 7743, 318, 5674, 423, 225, 88, 76, 73, 2243, 1873, 2678, 18, 203, 27201, 84, 12040, 203, 1109, 203, 521, 2149, 318, 2204, 290, 882, 339, 2801, 8806, 16, 357, 318, 225, 69, 877, 2724, 326, 19561, 225, 88, 76, 73, 6652, 292, 12156, 6462, 346, 1162, 16560, 4131, 18, 203, 550, 203, 4945, 10124, 17734, 69, 17034, 24576, 203, 21491, 18742, 5280, 2728, 44021, 14831, 33571, 1286, 2895, 203, 2546, 225, 88, 76, 73, 16612, 203, 1200, 2111, 318, 225, 69, 11190, 292, 30, 36767, 2241, 292, 6652, 38429, 346, 6277, 7743, 1249, 37434, 2825, 39333, 1681, 766, 290, 279, 16656, 983, 2149, 2836, 2429, 3008, 16, 8077, 14642, 16, 10306, 45, 30, 1136, 18, 2288, 2419, 19, 1996, 18, 4979, 6181, 916, 18, 2, 0, 6005, 286, 225, 69, 2621, 431, 27187, 35406, 16, 581, 17141, 9, 292, 7218, 371, 449, 4734, 286, 7041, 16863, 18, 409, 2621, 568, 8407, 345, 2967, 9, 292, 7218, 502, 449, 427, 654, 8592, 8720, 18, 996, 398, 3029, 371, 581, 286, 7041, 16, 544, 783, 339, 641, 292, 225, 88, 76, 73, 47490, 5214, 18, 2894, 371, 225, 69, 1162, 4186, 286, 723, 624, 18, 203, 21, 18, 15039, 4631, 9157, 30909, 203, 32060, 783, 449, 339, 225, 88, 76, 73, 724, 909, 325, 398, 1763, 650, 313, 1033, 292, 398, 3029, 352, 8592, 18, 1790, 16, 357, 424, 3613, 624, 1584, 1845, 7393, 18, 24560, 345, 479, 519, 3502, 6106, 371, 527, 286, 2777, 18, 14195, 325, 519, 1489, 16, 969, 16, 16071, 16, 290, 941, 17, 4690, 13266, 3502, 18, 996, 313, 949, 1028, 292, 519, 2772, 1551, 16, 313, 783, 813, 286, 1425, 2158, 225, 69, 12058, 388, 2178, 969, 3502, 3488, 326, 624, 18, 203, 22, 18, 10232, 47342, 9286, 203, 1624, 398, 3029, 623, 4438, 16, 544, 882, 3734, 423, 13331, 2354, 18, 29328, 225, 88, 76, 73, 3770, 1133, 13331, 2354, 290, 5012, 13616, 290, 1182, 225, 88, 76, 73, 745, 5107, 3125, 326, 398, 3029, 18, 14868, 16, 13331, 2354, 3064, 1706, 30, 203, 13060, 10401, 290, 23893, 7522, 203, 14383, 286, 225, 69, 8939, 12359, 203, 25259, 43384, 203, 521, 9596, 12359, 783, 723, 346, 2148, 664, 14325, 1028, 290, 225, 88, 76, 73, 6236, 292, 21859, 286, 33892, 3533, 18, 996, 398, 3029, 1766, 1511, 16, 3009, 12417, 2557, 783, 339, 1796, 286, 1209, 624, 2703, 18, 996, 544, 1766, 3976, 16, 313, 905, 3543, 1425, 13331, 2354, 18, 2776, 225, 88, 76, 73, 33750, 292, 519, 965, 783, 339, 33413, 16, 1367, 2184, 882, 3890, 345, 544, 744, 225, 69, 1162, 28542 ]

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

[ 203, 11276, 7379, 35019, 16, 15941, 1968, 32164, 225, 203, 33411, 7379, 35019, 396, 2419, 4299, 1180, 2419, 4271, 873, 3194, 47843, 16, 6711, 3845, 292, 7661, 26717, 7379, 35019, 203, 19635, 7009, 7379, 35019, 396, 31861, 1180, 18313, 873, 5251, 4166, 203, 27409, 7379, 35019, 396, 2455, 3456, 1180, 2419, 3021, 873, 11057, 2666, 3131, 203, 18190, 7379, 35019, 396, 2419, 4425, 1180, 2419, 6188, 873, 4554, 725, 7464, 666, 10968, 11180, 203, 18190, 7379, 35019, 396, 13470, 350, 13, 396, 1758, 1996, 1180, 1758, 9820, 873, 225, 69, 9742, 17, 4387, 29241, 4372, 18, 203, 16177, 7379, 35019, 396, 1758, 5805, 1180, 33225, 873, 5070, 9696, 6171, 3988, 1967, 42891, 7379, 35019, 225, 396, 35239, 17, 18313, 13, 9742, 11816, 290, 36912, 18, 4327, 8607, 7379, 35019, 774, 9742, 2030, 1644, 10711, 18, 4327, 7379, 35019, 2237, 263, 1138, 16, 225, 69, 2237, 41492, 505, 292, 3677, 7996, 203, 203, 1987, 1563, 203, 55, 6634, 1114, 292, 9742, 6489, 203, 8460, 5989, 295, 35838, 2, 0, 829, 18587, 16, 225, 88, 76, 73, 3463, 1011, 80, 983, 1715, 396, 349, 4845, 4594, 532, 7747, 318, 1013, 286, 3188, 286, 42539, 3104, 18993, 1046, 6375, 30, 557, 17493, 290, 18097, 396, 86, 340, 323, 1013, 873, 357, 26747, 225, 88, 76, 73, 7149, 292, 225, 88, 76, 73, 3968, 16, 5758, 286, 225, 88, 76, 73, 4017, 292, 1334, 396, 73, 18, 75, 18, 1331, 968, 325, 225, 88, 76, 73, 2625, 16, 11178, 225, 88, 76, 73, 4435, 873, 517, 291, 609, 44425, 24197, 359, 761, 396, 73, 18, 75, 18, 286, 5400, 16, 326, 797, 8655, 873, 388, 698, 225, 69, 3162, 16, 1027, 291, 316, 583, 94, 290, 609, 22599, 24259, 32065, 7442, 357, 40348, 225, 69, 3968, 2986, 225, 88, 76, 73, 36682, 1906, 388, 225, 88, 76, 73, 1389, 811, 279, 3670, 18, 409, 1011, 80, 983, 1715, 318, 1013, 291, 225, 88, 76, 73, 18097, 16, 316, 583, 94, 290, 17493, 7442, 18, 203, 203, 35577, 225, 203, 829, 17493, 225, 88, 76, 73, 40292, 689, 17, 264, 6, 388, 689, 17, 1428, 6, 40348, 225, 88, 76, 73, 1011, 80, 983, 18, 601, 424, 339, 1013, 664, 689, 6527, 6, 517, 568, 291, 543, 13253, 3104, 326, 5299, 2172, 396, 71, 788, 16, 20737, 859, 1078, 1953, 30, 203, 289, 1286, 4954, 1428, 396, 6527, 225, 88, 76, 73, 5499, 13, 203, 25054, 264, 530, 1256, 1000, 396, 45, 714, 1191, 286, 25054, 13, 203, 1026, 5011, 80, 41564, 88, 17565, 264, 396, 273, 225, 88, 76, 73, 7762, 13, 203, 203, 49305, 225, 203, 28020, 291, 18097, 30, 203, 1072, 425, 774, 827, 286, 35, 203, 489, 24505, 774, 827, 396, 3813, 983, 44105, 13, 203, 1158, 567, 6641, 774, 286, 798, 3152, 203, 490, 13443, 79, 463, 296, 774, 286, 8230, 203, 203, 1987, 203, 203, 39521, 81, 12377, 3104, 2, 0, 48, 555, 277, 1351, 1077, 37229, 16087, 18, 396, 6974, 384, 16, 32790, 696, 1589, 1583, 16, 10480, 13, 385, 279, 1644, 4166, 292, 225, 88, 76, 73, 2775, 591, 88, 76, 954, 1846, 452, 88, 76, 10227, 346, 1579, 2016, 291, 15825, 14790, 16, 8170, 18, 731, 385, 568, 2912, 291, 6564, 326, 39273, 18, 203, 203, 15731, 203, 31097, 270, 385, 3157, 291, 32790, 291, 9269, 16, 1063, 2229, 18, 1728, 3223, 5890, 225, 69, 16880, 8313, 291, 8214, 3271, 16, 1063, 2229, 16, 827, 458, 5801, 1502, 3621, 18, 731, 1708, 5801, 3049, 292, 26926, 6848, 16, 383, 573, 522, 3845, 16, 5348, 430, 18, 37229, 16, 3220, 359, 4115, 18, 203, 2177, 2406, 811, 4166, 11426, 301, 421, 18, 16072, 16, 596, 2389, 225, 88, 76, 73, 3440, 24661, 3536, 291, 40535, 9252, 16, 1063, 2229, 18, 731, 568, 2406, 346, 18503, 954, 3866, 27938, 18, 203, 203, 4379, 19611, 1535, 522, 2371, 458, 385, 4115, 292, 225, 88, 76, 73, 27869, 41371, 779, 4108, 290, 292, 225, 88, 76, 73, 3710, 17, 38, 17673, 41371, 779, 4108, 18, 203, 203, 31097, 270, 385, 6413, 225, 69, 6552, 292, 225, 88, 76, 73, 1644, 4339, 292, 23084, 291, 17888, 18, 731, 3220, 325, 798, 18839, 290, 385, 8052, 4246, 326, 225, 88, 76, 73, 709, 3414, 292, 16375, 291, 709, 1552, 1139, 16, 290, 3220, 359, 18, 31892, 292, 225, 88, 76, 73, 1063, 2229, 11571, 18, 731, 385, 225, 69, 2260, 292, 225, 88, 76, 73, 4119, 292, 35994, 1703, 292, 225, 88, 76, 73, 2086, 292, 1063, 2229, 291, 18168, 16, 225, 69, 2260, 292, 225, 88, 76, 73, 4119, 292, 18132, 290, 27579, 291, 18168, 302, 237, 1180, 302, 237, 1758, 16, 290, 225, 69, 3962, 292, 225, 88, 76, 73, 19276, 3586, 18, 203, 203, 2177, 644, 3220, 359, 225, 88, 76, 73, 4166, 292, 225, 88, 76, 73, 17797, 17, 41372, 560, 9865, 18535, 18, 203, 203, 4075, 3198, 16, 42771, 1351, 1077, 37229, 8402, 18, 385, 279, 1029, 32703, 18, 1728, 22032, 16, 42771, 331, 18, 37229, 8571, 16, 2406, 359, 225, 69, 5103, 18, 203, 203, 31097, 270, 3904, 383, 522, 2779, 965, 383, 7457, 1273, 12335, 291, 32300, 16, 1063, 2229, 325, 1589, 1583, 16, 10480, 18, 203, 203, 13796, 203, 31097, 270, 2389, 225, 69, 2692, 292, 1848, 629, 292, 573, 427, 652, 4842, 325, 225, 88, 76, 73, 2090, 8506, 292, 9715, 11585, 396, 24849, 11388, 859, 601, 318, 6951, 345, 458, 568, 2389, 1579, 20118, 5262, 4700, 291, 1063, 3994, 517, 786, 1514, 292, 803, 504, 652, 1100, 18, 203, 396, 24849, 11388, 13, 203, 203, 47846, 17, 44634, 30, 25933, 8427, 13886, 3536, 16, 915, 225, 88, 76, 73, 44178, 13886, 3536, 396, 47846, 17, 44634, 873, 25389, 1180, 1744, 13392, 1276, 438, 16, 12140, 225, 203, 25533, 291, 7798, 346, 3833, 393, 18, 23580, 8405, 291, 225, 69, 6478, 5250, 25297, 25773, 19, 23976, 10664, 2296, 203, 40518, 16, 6350, 3409, 16, 25389, 1180, 1744, 13392, 1276, 438, 16, 12140, 18, 203, 46036, 17, 44137, 30, 10673, 468, 7713, 16, 15825, 14790, 16, 8170, 203, 42595, 30, 37057, 17, 14247, 471, 3010, 16, 1708, 225, 88, 76, 73, 17695, 2976, 1925, 16, 15825, 14790, 16 ]

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

[ 14072, 22584, 955, 359, 6778, 286, 20597, 1452, 16, 279, 42251, 298, 33825, 4302, 388, 48017, 18, 29682, 326, 1188, 2021, 292, 35630, 3400, 18, 203, 9152, 36419, 5178, 292, 3380, 827, 313, 3400, 18, 24560, 313, 1209, 398, 8339, 290, 673, 17, 45772, 2223, 2017, 292, 548, 16, 7743, 16, 13549, 16, 24492, 290, 609, 25063, 18, 1099, 761, 16, 1425, 6774, 706, 5178, 292, 14936, 42, 11249, 16, 955, 359, 3035, 9122, 16, 9421, 290, 1952, 11223, 290, 19698, 4089, 18, 203, 31783, 225, 88, 76, 73, 7621, 292, 21270, 527, 291, 225, 88, 76, 73, 3960, 292, 225, 88, 76, 73, 1876, 18, 17287, 24299, 326, 279, 3597, 388, 797, 981, 29895, 18, 996, 2318, 427, 225, 69, 1240, 3142, 292, 5714, 16, 2655, 720, 36038, 388, 11479, 5481, 16, 359, 225, 69, 673, 17, 2121, 2378, 14443, 18, 203, 24663, 30660, 225, 88, 76, 73, 2551, 292, 6103, 47061, 18, 14091, 291, 225, 69, 1628, 345, 318, 359, 3411, 3863, 359, 1634, 16, 290, 691, 2318, 3934, 225, 69, 3400, 8055, 286, 3573, 524, 5178, 292, 1598, 18, 203, 40671, 3485, 6365, 9388, 18, 18732, 4836, 16, 225, 69, 3485, 4542, 16, 290, 17657, 271, 1387, 7078, 532, 4170, 290, 6628, 459, 5242, 3400, 18, 203, 6685, 5482, 225, 88, 76, 73, 723, 292, 398, 1489, 18362, 18, 34287, 290, 5095, 3400, 290, 11751, 1489, 5524, 346, 398, 18362, 30, 442, 783, 1706, 12303, 4653, 326, 32365, 42494, 290, 23480, 16005, 18, 9574, 11815, 955, 359, 6103, 47061, 16, 848, 17, 29488, 7260, 30075, 2552, 593, 396, 25, 17, 44, 10933, 873, 26476, 16, 2915, 262, 666, 388, 609, 13758, 783, 568, 339, 5333, 18, 203, 521, 962, 383, 428, 9469, 18134, 1489, 5399, 290, 10621, 10693, 318, 1349, 286, 723, 313, 4076, 3400, 2579, 16, 32365, 42494, 290, 609, 1778, 352, 87, 1489, 2148, 1249, 41633, 14363, 37683, 8315, 31, 16613, 5050, 31234, 16, 11581, 290, 25161, 17596, 18, 203, 9746, 225, 69, 10031, 7331, 203, 3113, 291, 203, 38782, 954, 1283, 20629, 13249, 9496, 31234, 203, 3113, 431, 203, 50, 1339, 4736, 637, 203, 10616, 203, 301, 19984, 203, 438, 570, 27840, 10621, 5681, 203, 2346, 22831, 203, 10469, 82, 17596, 203, 11296, 203, 49168, 41868, 3645, 203, 2951, 13995, 203, 18679, 9909, 15478, 203, 354, 8530, 18492, 1028, 203, 48490, 49559, 203, 10771, 3127, 203, 5496, 10752, 31234, 203, 72, 1003, 578, 15286, 203, 42360, 274, 31895, 203, 14386, 1558, 13816, 203, 14386, 17092, 35339, 203, 14386, 87, 345, 8961, 731, 274, 9920, 290, 49075, 3869, 342, 203, 9813, 203, 15456, 327, 902, 7223, 31234, 203, 75, 327, 1489, 203, 12884, 8201, 203, 12170, 203, 8714, 2195, 8804, 203, 44, 1672, 582, 3308, 203, 5123, 11952, 203, 17844, 505, 25161, 17596, 203, 10202, 29678, 203, 10202, 29678, 31234, 203, 35483, 3308, 203, 22955, 7857, 203, 21861, 7758, 203, 39475, 14363, 902, 203, 17153, 14363, 902, 2520, 13995, 203, 17153, 14363, 8390, 203, 41161, 203, 6976, 15953, 29678, 31234, 203, 84, 960, 9175, 1118, 203, 30520, 3308, 4547, 203, 10358, 274, 19060, 203, 32562, 203, 38782, 954, 1283, 20629, 13249, 9496, 31234, 203, 22941, 81, 3645, 35470, 203, 485, 93, 4947, 203, 485, 93, 4947, 31234, 203, 20584, 203, 39400, 13501, 203, 91, 36037, 1489, 203, 48274, 203, 7751, 1910, 396, 25, 13, 203, 7800, 1910, 396, 25, 13, 203, 7552, 1910, 396, 25, 13, 203, 7322, 1910, 396, 25, 13, 203, 7077, 1910, 396, 25, 13, 203, 4644, 1910, 396, 25, 13, 203, 7322, 1920, 396, 22, 13, 203, 7077, 1920, 396, 24, 13, 203, 4644, 1920, 396, 21, 13, 203, 7065, 1920, 396, 22, 13, 203, 6974, 1920, 396, 21, 13, 203, 8079, 1920, 396, 21, 13, 203, 7800, 2153, 396, 21, 13, 203, 7077, 2153, 396, 23, 13, 203, 4644, 2153, 396, 25, 13, 203, 7552, 2286, 396, 23, 13, 203, 7322, 2451, 396, 23, 13, 203, 7077, 2451, 396, 27, 13, 203, 8209, 2489, 396, 21, 13, 203, 7751, 2489, 396, 21, 13, 203, 7322, 2489, 396, 27, 13, 203, 7077, 2489, 396, 24, 13, 203, 4644, 2489, 396, 23, 13, 203, 7065, 2489, 396, 23, 13, 203, 8209, 2616, 396, 24, 13, 203, 7751, 2616, 396, 22, 13, 203, 7800, 2616, 396, 21, 13, 203, 7322, 2616, 396, 21, 13, 203, 7077, 2616, 396, 21, 13, 203, 6974, 2730, 396, 22, 13, 203, 6074, 19640, 203, 23566, 14943, 10709, 696, 22105, 5951, 18, 9574, 11293, 366, 7033, 12691, 2616, 17, 2288, 17, 6755, 56, 1537, 30, 4299, 30, 7055, 15, 564, 30, 564, 203, 4193, 828, 6451, 225, 69, 33308, 4947, 4298, 22141, 35, 1260, 47128, 2616, 17, 6688, 17, 1878, 56, 2905, 30, 4665, 30, 5592, 15, 564, 30, 564, 203, 1833, 5680, 1558, 6212, 426, 290, 17092, 285, 11323, 1589, 1397, 4704, 14361, 2097, 3308, 696, 1009, 1287, 286, 6328, 1078, 21776, 2723, 12125, 2489, 17, 6788, 17, 6257, 56, 825, 30, 7055, 30, 5805, 15, 564, 30, 564, 203, 50, 9469, 18134, 2221, 225, 88, 76, 73, 3297, 7758, 291, 31234, 2723, 6036, 2730, 17, 6834, 17, 6834, 56, 6643, 30, 3021, 30, 5777, 15, 564, 30, 564, 203, 28, 13945, 292, 3396, 327, 902, 7223, 326, 17969, 36189, 696, 290, 1287, 286, 24560, 828, 6451, 30674, 8048, 8950, 2616, 17, 6755, 17, 3859, 56, 916, 30, 5592, 30, 5932, 15, 564, 30, 564, 203, 11854, 352, 87, 41917, 582, 3308, 383, 398, 31234, 15304, 14363, 902, 15478, 37194, 27, 2489, 17, 6688, 17, 825, 56, 825, 30, 5234, 30, 1537, 15, 564, 30, 564, 203, 1833, 286, 3881, 13351, 30852, 290, 22939, 398, 1489, 12969, 6188, 2616, 17, 6731, 17, 4299, 56, 2905, 30, 1878, 30, 1996, 15, 564, 30, 564, 203, 1537, 10713, 286, 30842, 23137, 290, 1283, 20629, 13249, 9496, 832, 7928, 24, 2616, 17, 1537, 17, 6643, 56, 2866, 30, 2721, 30, 6078, 15, 564, 30, 564, 203, 1833, 286, 8961, 6366, 2097, 1195, 622, 17969, 383, 3953, 11795, 1996, 2616, 17, 2288, 17, 6755, 56, 1537, 30, 6427, 30, 5858, 15, 564, 30, 564, 203, 1833, 286, 14718, 691, 828, 6451, 225, 69, 41917, 582, 4298, 22141, 696, 1009, 1838, 286, 2335, 6420, 601, 6049 ]

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

[ 521, 2494, 2079, 6175, 292, 19915, 7436, 2626, 2443, 5488, 16, 2233, 3153, 16, 290, 609, 3457, 423, 1952, 10901, 16, 346, 225, 69, 1635, 325, 1283, 353, 16, 1315, 24254, 352, 87, 3806, 4804, 2828, 290, 20872, 18, 203, 6314, 1997, 203, 30506, 555, 292, 19915, 203, 55, 9685, 352, 87, 36068, 292, 19915, 8319, 286, 6767, 225, 88, 76, 73, 3457, 292, 955, 2625, 4845, 4508, 291, 225, 69, 2190, 1598, 18, 409, 1909, 22448, 3197, 423, 479, 9819, 292, 225, 88, 76, 73, 6142, 1950, 596, 352, 315, 959, 225, 69, 10246, 2707, 18, 5771, 544, 371, 1249, 685, 40, 8093, 286, 1582, 1532, 35924, 326, 16156, 6667, 7246, 326, 8931, 290, 1528, 16, 9299, 1621, 326, 279, 44899, 4227, 388, 3765, 1463, 946, 290, 13660, 18452, 16, 803, 1950, 2828, 371, 3190, 4875, 225, 88, 76, 73, 1305, 18, 203, 6314, 1997, 203, 41256, 18301, 310, 40880, 203, 20128, 286, 531, 7100, 310, 40880, 326, 225, 88, 76, 73, 3297, 6142, 2587, 290, 4443, 1216, 16, 1315, 2587, 581, 631, 5882, 16, 5650, 27679, 16, 20613, 290, 543, 18, 19915, 18301, 318, 5846, 760, 5903, 2980, 286, 398, 2368, 18, 2, 0, 13075, 13471, 225, 69, 331, 4221, 4641, 1319, 388, 5473, 1810, 13999, 10672, 3414, 326, 13759, 35915, 1485, 6362, 32621, 388, 609, 1510, 788, 318, 1541, 31463, 326, 1502, 2076, 290, 326, 798, 2879, 203, 44535, 426, 18, 203, 1647, 318, 22660, 388, 7691, 788, 35, 203, 20164, 788, 424, 339, 7112, 291, 1579, 2230, 18, 557, 9965, 290, 8046, 16, 10543, 318, 225, 88, 76, 73, 2731, 388, 1418, 292, 225, 88, 76, 73, 745, 10345, 1284, 292, 7648, 291, 6562, 16, 819, 479, 33821, 371, 3955, 18, 996, 12690, 24474, 6562, 16, 5546, 10543, 9339, 18, 557, 279, 9965, 6063, 16, 11711, 7945, 352, 10543, 396, 281, 4146, 7945, 352, 10543, 16, 21340, 352, 5006, 16, 21340, 352, 4029, 388, 2608, 3245, 13, 7705, 225, 88, 76, 73, 6097, 1418, 291, 6562, 292, 225, 69, 1250, 16, 3952, 2196, 1682, 21340, 292, 2078, 388, 8188, 4146, 18, 203, 20164, 413, 33532, 203, 2346, 10543, 3983, 4176, 10004, 286, 225, 88, 76, 73, 5077, 290, 5736, 292, 7644, 292, 4146, 325, 225, 69, 4146, 1297, 431, 3197, 290, 8545, 291, 21583, 292, 4526, 423, 31874, 290, 4029, 13734, 16, 359, 225, 88, 76, 73, 2278, 292, 225, 88, 76, 73, 4146, 18426, 18, 601, 783, 568, 3188, 286, 225, 88, 76, 73, 11061, 292, 10543, 396, 762, 7050, 13, 8458, 291, 225, 69, 2879, 396, 367, 14378, 13, 1250, 388, 225, 69, 12780, 1250, 18, 1605, 225, 88, 76, 73, 3983, 318, 291, 17859, 2076, 16, 357, 318, 7035, 286, 359, 10032, 4029, 9638, 290, 318, 4176, 11848, 359, 225, 69, 2930, 2972, 720, 3983, 291, 4842, 1191, 17, 1373, 1313, 82, 6375, 18, 203, 3048, 1810, 290, 331, 4221, 4641, 27530, 326, 7691, 788, 203, 829, 1374, 286, 623, 279, 5473, 1810, 1319, 388, 331, 4221, 4641, 1319, 326, 1510, 788, 225, 69, 1250, 352, 87, 23935, 1381, 11521, 18, 707, 424, 2359, 345, 554, 352, 87, 23935, 11521, 326, 955, 1319, 2061, 15986, 290, 9502, 225, 88, 76, 73, 1497, 5473, 1810, 290, 331, 4221, 4641, 10039, 18, 203, 5637, 2812, 326, 225, 69, 5052, 7691, 788, 5473, 1810, 290, 331, 4221, 4641, 27180, 203, 1893, 1732, 913, 3849, 203, 1371, 313, 371, 2629, 286, 3228, 326, 225, 69, 2534, 319, 19, 43659, 37, 5473, 1810, 388, 609, 271, 290, 2605, 1310, 318, 670, 531, 962, 34544, 3020, 18, 7344, 443, 1660, 286, 894, 398, 1149, 18, 203, 6588, 319, 290, 34241, 37, 20044, 203, 4139, 383, 5473, 1810, 408, 427, 13331, 16339, 292, 3963, 87, 761, 359, 25875, 319, 396, 6588, 319, 13, 290, 34241, 37, 11936, 18, 996, 398, 1250, 318, 26384, 34241, 37, 19, 6588, 319, 7222, 388, 10543, 203, 9771, 13834, 290, 4328, 225, 69, 331, 4221, 4641, 2, 0, 15192, 292, 1028, 3153, 1369, 225, 88, 76, 73, 4708, 962, 346, 6936, 6966, 581, 3091, 650, 2318, 18, 738, 318, 2276, 1263, 650, 3201, 371, 1376, 291, 2357, 19, 27, 4471, 18, 35112, 326, 1415, 286, 1303, 785, 291, 1477, 388, 2754, 286, 744, 1263, 5133, 318, 449, 15943, 18, 203, 32488, 4163, 318, 3437, 286, 5095, 2579, 541, 544, 424, 339, 24643, 981, 544, 3028, 3091, 286, 499, 968, 326, 1864, 8857, 18, 332, 27449, 10376, 3709, 385, 1249, 279, 2573, 3061, 326, 2508, 4163, 16, 517, 660, 643, 629, 1229, 12250, 346, 442, 2295, 30, 203, 521, 1432, 292, 442, 2295, 3600, 225, 88, 76, 73, 1319, 292, 9699, 345, 882, 339, 19659, 18, 203, 829, 1408, 16, 225, 88, 76, 73, 1560, 17, 887, 1083, 595, 286, 2834, 225, 88, 76, 73, 2241, 2267, 225, 88, 76, 73, 2972, 345, 3878, 882, 3910, 981, 2241, 643, 7484, 18, 203, 9758, 16, 22156, 15744, 388, 41212, 291, 6477, 286, 225, 88, 76, 73, 706, 17, 7952, 3061, 424, 427, 3295, 10755, 286, 4446, 4293, 15171, 2681, 18, 203, 4274, 43046, 442, 2163, 431, 3082, 279, 291, 17, 3409, 3061, 1653, 325, 225, 88, 76, 73, 4161, 343, 32488, 2313, 21191, 14480, 48545, 396, 54, 14629, 13, 27508, 25232, 45767, 15566, 290, 225, 88, 76, 73, 28091, 306, 32354, 6393, 2508, 4155, 6873, 18, 409, 6505, 424, 915, 3681, 2508, 4163, 2241, 291, 770, 1519, 2239, 16, 290, 225, 88, 76, 73, 6277, 1432, 619, 7588, 504, 959, 357, 1634, 286, 2688, 225, 88, 76, 73, 1319, 292, 9699, 19659, 431, 4093, 225, 69, 6139, 292, 2769, 18, 557, 709, 724, 602, 292, 5185, 16, 225, 88, 76, 73, 291, 1577, 3061, 504, 6884, 8720, 292, 658, 225, 69, 2372, 6514, 291, 23372, 290, 658, 225, 69, 2372, 6514, 291, 8857, 346, 1579, 292, 225, 88, 76, 73, 4196, 14214, 13697, 8720, 345, 3190, 3955, 326, 225, 88, 76, 73, 3340, 2543, 292, 225, 88, 76, 73, 8853, 18, 203, 2546, 1997, 203, 20, 5032, 6753, 1036, 286, 987, 19, 20520, 3981, 203, 39047, 30, 12463, 11044, 16, 9992, 1138, 16, 26652, 203, 42270, 7178, 4806, 2658, 40579, 30, 1507, 17, 7952, 7121, 12908, 318, 25520, 1385, 720, 9302 ]

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

[ 15047, 292, 384, 16, 5234, 29, 18, 409, 1519, 88, 76, 18157, 1837, 384, 16, 1318, 698, 5269, 290, 2970, 1260, 1791, 18, 2555, 292, 803, 25657, 2765, 3436, 7106, 290, 377, 16, 2566, 22, 1673, 8779, 16, 431, 1856, 225, 88, 76, 73, 745, 16060, 2498, 291, 225, 69, 2013, 5269, 1154, 225, 88, 76, 73, 2178, 2391, 18, 409, 2157, 326, 442, 385, 225, 88, 76, 73, 2066, 345, 225, 88, 76, 73, 3727, 431, 225, 88, 76, 73, 5070, 832, 88, 76, 5669, 644, 1902, 47026, 225, 88, 76, 73, 10172, 24113, 7479, 517, 652, 1736, 13513, 290, 43236, 18484, 431, 23568, 21895, 2883, 16, 3060, 286, 203, 521, 1358, 927, 9198, 29508, 454, 31128, 296, 526, 849, 8455, 2084, 292, 225, 88, 76, 73, 374, 49837, 30091, 34990, 407, 4943, 694, 14700, 428, 86, 18, 10908, 4997, 660, 385, 225, 69, 17367, 291, 21895, 17645, 396, 11314, 689, 11501, 9057, 84, 789, 6, 77, 82, 3911, 5349, 5187, 13, 345, 2483, 819, 225, 88, 76, 73, 5269, 5148, 290, 225, 88, 76, 73, 15909, 292, 225, 88, 76, 73, 17575, 5070, 5508, 18, 409, 10908, 88, 76, 393, 2254, 526, 4960, 6269, 643, 2573, 292, 47825, 12294, 13050, 2558, 359, 2405, 359, 685, 15249, 33940, 423, 7386, 686, 13050, 290, 377, 15249, 15566, 423, 13555, 704, 13050, 18, 203, 37069, 463, 1500, 2304, 2719, 225, 88, 76, 73, 2364, 292, 47825, 12294, 13050, 819, 225, 88, 76, 73, 5269, 1146, 2578, 225, 88, 76, 73, 3911, 2290, 3882, 18, 43059, 17, 94, 356, 1695, 5098, 4183, 290, 325, 1736, 318, 225, 69, 1695, 292, 3911, 38824, 18, 203, 2346, 4854, 291, 225, 88, 76, 73, 2764, 5138, 20400, 16395, 10317, 87, 2446, 33798, 774, 14263, 25067, 292, 5148, 1689, 47825, 12294, 13050, 431, 45414, 1653, 383, 640, 18, 11409, 16, 4409, 325, 2355, 1519, 4001, 30, 26766, 346, 9229, 16847, 1780, 14606, 6189, 7220, 1220, 23697, 11739, 1556, 203, 2091, 225, 88, 76, 73, 2625, 225, 88, 76, 73, 678, 9057, 84, 789, 4810, 8075, 18, 9198, 31128, 296, 6246, 345, 689, 23078, 16, 2110, 8122, 2764, 37223, 644, 9174, 225, 88, 76, 73, 4960, 6269, 292, 225, 88, 76, 73, 10908, 88, 76, 393, 2254, 526, 40586, 694, 832, 2573, 292, 47825, 12294, 13050, 1556, 409, 5187, 292, 225, 88, 76, 73, 34990, 407, 4943, 694, 14700, 428, 86, 18, 10908, 5586, 30, 689, 34757, 2764, 10514, 2883, 6925, 2152, 8395, 325, 40586, 694, 832, 345, 9489, 1220, 11131, 290, 519, 6269, 18, 374, 12065, 2019, 1896, 36889, 277, 16, 834, 350, 3149, 553, 1385, 1524, 866, 16, 14714, 263, 1385, 3571, 17213, 290, 3024, 285, 1538, 765, 267, 396, 1573, 295, 13, 9499, 2667, 643, 5588, 3856, 18, 834, 350, 3149, 553, 1385, 707, 293, 3904, 1708, 423, 522, 18694, 18, 14714, 263, 1385, 4806, 18067, 385, 17868, 16145, 18, 14714, 263, 1385, 332, 498, 1718, 290, 1378, 14714, 263, 1385, 643, 16145, 346, 1357, 7474, 431, 400, 1681, 3642, 423, 225, 88, 76, 73, 41273, 21895, 20599, 18, 203, 3134, 15783, 526, 1797, 2084, 383, 33554, 7465, 286, 5201, 10553, 819, 2723, 806, 18, 203, 56, 2273, 50068, 409, 10553, 203, 521, 2764, 4974, 316, 2273, 286, 225, 88, 76, 73, 5201, 10553, 18, 4150, 225, 88, 76, 73, 2391, 526, 1172, 797, 806, 16, 2764, 290, 3395, 13615, 2533, 279, 3923, 2450, 291, 706, 675, 1052, 18, 3911, 13615, 643, 1490, 4129, 290, 644, 225, 69, 4762, 2450, 18, 409, 1500, 325, 225, 88, 76, 73, 1736, 2719, 3395, 13615, 1191, 286, 225, 88, 76, 73, 2290, 18, 409, 1500, 325, 225, 88, 76, 73, 1054, 2719, 279, 2764, 7273, 9489, 431, 225, 69, 2152, 2843, 423, 3911, 5096, 17, 6996, 21895, 18, 203, 12476, 5263, 50068, 409, 2446, 203, 829, 225, 88, 76, 73, 724, 2039, 292, 225, 88, 76, 73, 2391, 291, 16382, 16, 2580, 291, 225, 88, 76, 73, 1593, 658, 225, 88, 76, 73, 5269, 5690, 385, 3600, 286, 28366, 27721, 290, 823, 3600, 6503, 10210, 37223, 787, 326, 325, 87, 4428, 18, 409, 3395, 16, 3911, 290, 3194, 22787, 17876, 644, 955, 225, 69, 2190, 35596, 2450, 544, 1541, 23473, 4710, 10041, 286, 1040, 609, 18, 1078, 624, 16, 660, 385, 225, 69, 1845, 5539, 292, 418, 2188, 732, 2196, 2939, 359, 6889, 27033, 18, 409, 2219, 3263, 961, 670, 357, 318, 16, 2678, 4810, 345, 2223, 650, 554, 9093, 1837, 225, 69, 4960, 527, 346, 950, 290, 11843, 383, 225, 69, 9093, 292, 225, 88, 76, 73, 609, 1752, 18, 28321, 2678, 2154, 543, 17030, 5015, 16, 19116, 6436, 326, 661, 7839, 293, 566, 2154, 225, 69, 7411, 1932, 290, 6889, 643, 45221, 346, 3687, 11131, 326, 19116, 8817, 18, 2519, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 2391, 291, 15556, 16, 225, 88, 76, 73, 6503, 10210, 37223, 3842, 10828, 359, 21413, 359, 1059, 325, 225, 88, 76, 73, 2625, 290, 643, 7809, 1013, 326, 19116, 730, 501, 277, 290, 24335, 292, 9893, 291, 2290, 1695, 38824, 18, 332, 1873, 385, 225, 88, 76, 73, 2678, 3118, 5096, 17, 50230, 21895, 290, 4281, 3687, 4960, 6269, 18, 203, 16252, 16, 418, 2188, 732, 2196, 290, 2986, 6889, 19489, 385, 383, 1631, 549, 3932, 438, 18, 1507, 1589, 3498, 16, 16566, 16, 9198, 29508, 454, 31128, 296, 16, 19325, 2049, 88, 43682, 30091, 10908, 88, 76, 34990, 2398, 4943, 694, 14700, 4997, 689, 829, 225, 88, 76, 73, 1389, 292, 225, 88, 76, 73, 12237, 3797, 2217, 16, 225, 69, 16145, 2764, 278, 3164, 959, 225, 69, 5981, 10063, 18, 409, 3911, 278, 3164, 596, 4126, 950, 968, 16, 12949, 1358, 286, 950, 290, 2758, 225, 88, 76, 73, 14709, 16145, 50228, 724, 4902, 5275, 1556, 601, 385, 449, 9106, 2276, 1133, 3194, 290, 3911, 5508, 345, 17876, 596, 3904, 819, 3459, 968, 2578, 9531, 3882, 2524, 7635, 2520, 9809, 3938, 527, 431, 6566, 7434, 325, 225, 88, 76, 73, 3830, 9093, 526, 39615, 286, 3639, 225, 88, 76, 73, 8108, 526, 2840, 290, 3248, 225, 88, 76, 73, 9093, 526, 1797, 3912, 18, 203, 6974, 2967, 16, 16566, 225, 69, 3911, 6889, 959, 225, 69, 5981 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4406, 318, 225, 88, 76, 73, 4174, 326, 20490, 40539, 3345, 696, 449, 6559, 3212, 29956, 1574, 18, 203, 2852, 203, 11879, 89, 1723, 30, 203, 8324, 2399, 16, 2153, 383, 1136, 30, 6688, 714, 203, 13027, 318, 823, 877, 203, 2852, 203, 14136, 21030, 1214, 1723, 30, 203, 7552, 1260, 16, 2079, 383, 1260, 30, 7933, 714, 203, 7346, 16, 359, 314, 813, 286, 1209, 1174, 14721, 346, 6396, 2669, 658, 595, 16, 424, 314, 787, 500, 2324, 23227, 38932, 19, 2121, 16896, 8812, 18, 1515, 16, 291, 609, 2824, 16, 1071, 41224, 4458, 291, 654, 500, 2324, 38932, 290, 314, 905, 2037, 1576, 423, 345, 35, 5282, 313, 18, 203, 2852, 203, 31533, 45792, 262, 17, 15402, 1723, 30, 203, 7552, 1260, 16, 2079, 383, 1025, 30, 2866, 3242, 203, 32143, 313, 427, 225, 69, 6559, 1735, 345, 2719, 313, 427, 396, 21, 13, 225, 69, 24585, 291, 1864, 12477, 290, 396, 22, 13, 225, 69, 2110, 3159, 6396, 2669, 16, 313, 905, 449, 787, 17998, 18, 601, 352, 87, 616, 5543, 1518, 550, 290, 6296, 16, 225, 88, 76, 73, 41224, 318, 660, 290, 12950, 1349, 18, 28947, 472, 2977, 10603, 371, 225, 69, 940, 1317, 2947, 359, 544, 371, 225, 69, 2110, 290, 3174, 3481, 292, 12477, 18, 2, 0, 37, 631, 34277, 1323, 7792, 5209, 291, 22568, 16, 11846, 2562, 459, 3665, 359, 225, 69, 1172, 17, 17887, 3254, 17, 41548, 3053, 326, 225, 88, 76, 73, 10160, 526, 21211, 11204, 291, 22913, 16, 7045, 18, 203, 37, 631, 7792, 5209, 291, 22568, 16, 11846, 2562, 318, 3765, 225, 88, 76, 73, 34277, 1323, 1773, 18, 3919, 709, 4359, 1310, 291, 225, 88, 76, 73, 4995, 20191, 2361, 18, 409, 2723, 16, 1318, 17, 26484, 17, 9381, 5209, 459, 14179, 346, 34277, 1323, 352, 87, 2605, 21211, 3313, 291, 22913, 16, 7045, 16, 290, 459, 339, 225, 69, 1172, 17, 17887, 3254, 17, 41548, 3053, 286, 723, 3665, 543, 19671, 2453, 225, 88, 76, 73, 4316, 22568, 1389, 18, 203, 521, 631, 3053, 459, 1760, 527, 286, 49454, 3419, 290, 459, 787, 33256, 7678, 359, 641, 292, 34277, 1323, 352, 87, 5791, 286, 10059, 5264, 18, 409, 17982, 459, 568, 548, 346, 1491, 1518, 8038, 286, 2314, 709, 16903, 34145, 999, 16903, 23095, 1670, 5443, 2707, 1095, 18, 203, 6, 47, 387, 1357, 292, 310, 17, 11052, 18, 689, 988, 371, 13232, 286, 3919, 34277, 1323, 526, 11936, 286, 543, 22568, 2024, 346, 225, 69, 3736, 38101, 2605, 1185, 18, 203, 1109, 14100, 10976, 4848, 424, 787, 388, 225, 88, 1007, 1395, 19699, 3838, 18, 616, 31036, 459, 1508, 6496, 519, 6133, 3274, 423, 531, 43553, 11486, 290, 5846, 431, 6025, 34277, 1323, 21118, 281, 1573, 359, 1014, 326, 2459, 1175, 7068, 388, 1175, 4271, 619, 602, 18, 409, 1167, 2418, 13694, 1324, 4359, 325, 6133, 292, 1175, 4665, 388, 543, 290, 5708, 2697, 326, 1621, 3413, 325, 25288, 290, 2639, 14791, 18, 203, 7148, 1302, 16, 34277, 1323, 20349, 225, 69, 631, 29570, 317, 1350, 29261, 25619, 16, 21002, 2562, 4856, 286, 709, 2605, 21211, 8626, 291, 22913, 16, 7045, 31, 12722, 12793, 16, 37316, 19689, 290, 8221, 2409, 16, 16768, 18, 6480, 1637, 318, 291, 225, 88, 76, 73, 2016, 291, 225, 88, 76, 73, 12382, 1389, 16, 290, 34277, 1323, 3077, 3909, 7792, 4797, 291, 1589, 3341, 16, 11478, 2562, 290, 15294, 16, 35900, 18, 203, 37944, 4099, 2372, 11689, 11717, 14342, 754, 225, 69, 2825, 5135, 1185, 16, 290, 2340, 384, 16, 10731, 4783, 1518, 5636, 811, 225, 69, 2692, 292, 16978, 4590, 16, 17235, 17, 2959, 34277, 1323, 318, 1911, 18, 832, 325, 409, 24899, 2313, 16, 26410, 12722, 1313, 352, 87, 2079, 1241, 292, 225, 88, 76, 73, 1174, 1518, 290, 3333, 2564, 12390, 291, 2217, 3146, 18, 2, 0, 53, 12524, 13021, 9753, 4108, 290, 14168, 6477, 932, 378, 4636, 469, 43958, 427, 25894, 325, 225, 69, 6231, 1512, 286, 1227, 631, 5819, 326, 23361, 286, 3289, 709, 6145, 897, 920, 2401, 4007, 396, 48, 16096, 13, 2726, 13825, 1123, 27241, 18, 203, 44, 4636, 469, 43958, 16, 225, 69, 9298, 292, 13825, 43958, 1123, 27241, 16, 19753, 286, 894, 548, 325, 225, 88, 76, 73, 1123, 11080, 1512, 291, 225, 69, 2669, 292, 2039, 16, 6176, 319, 315, 77, 82, 1828, 3715, 76, 296, 2705, 28937, 18, 203, 33143, 76, 296, 928, 378, 4636, 469, 43958, 290, 23361, 13021, 9753, 4108, 16, 573, 10727, 225, 69, 1648, 10668, 292, 43958, 7273, 366, 16, 371, 19435, 3317, 291, 573, 544, 882, 3847, 225, 69, 13825, 11080, 16, 20279, 2027, 3146, 290, 3686, 17, 5752, 6266, 359, 7769, 12813, 18, 203, 8460, 43958, 7203, 23361, 16, 573, 318, 291, 225, 88, 76, 73, 16494, 292, 225, 69, 21587, 6384, 345, 36864, 650, 15221, 17681, 290, 609, 6509, 3984, 2150, 21587, 290, 3766, 2477, 346, 48939, 291, 1846, 2262, 16, 8300, 5799, 4174, 326, 3617, 1297, 1877, 359, 631, 10191, 423, 3610, 290, 225, 88, 76, 73, 1851, 2198, 14225, 527, 20147, 18, 203, 521, 7192, 13038, 1627, 15265, 225, 69, 2271, 17, 44131, 2397, 30828, 325, 631, 2551, 291, 2355, 290, 442, 1285, 6089, 19081, 706, 6965, 431, 38634, 325, 3407, 286, 5657, 43958, 6905, 431, 1872, 3159, 286, 2313, 2372, 24722, 225, 69, 602, 18, 203, 2691, 1648, 3760, 7665, 346, 2961, 889, 3124, 1846, 291, 225, 88, 76, 73, 1358, 7134, 16, 23361, 459, 659, 286, 19080, 3040, 3890, 326, 709, 43958, 18, 203, 6, 521, 2178, 3874, 2578, 442, 6010, 318, 286, 942, 631, 5819, 326, 1383, 267, 2829, 43958, 2670, 3715, 76, 296, 928, 18, 203, 521, 1868, 526, 43958, 9991, 23361, 6261, 290, 28846, 6261, 371, 449, 3274, 2912, 291, 225, 88, 76, 73, 2101, 18, 203, 521, 27241, 16, 573, 371, 568, 1712, 359, 13825, 4476, 290, 849, 287, 2634, 5014, 16, 371, 4189, 326, 4450, 3317, 6322, 1496, 286, 6433, 4007, 325, 5735, 18046, 18, 203, 29271, 779, 43958, 27241, 427, 40161, 806, 706, 225, 88, 76, 73, 595, 2318, 326, 631, 2024, 286, 1496, 3760, 290, 371, 568, 11284, 720, 3222, 2171, 17, 2959, 4797, 18, 203, 37, 1689, 5392, 3159, 2859, 291, 3527 ]

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

[ 54, 396, 46013, 1712, 359, 225, 88, 76, 73, 12848, 6393, 13, 396, 1057, 689, 9145, 21652, 587, 6, 573, 427, 225, 69, 14381, 3263, 16, 359, 225, 69, 1873, 292, 961, 15506, 291, 225, 88, 76, 73, 7741, 22885, 859, 203, 203, 521, 689, 41, 1588, 292, 1920, 2995, 8367, 290, 11754, 431, 225, 88, 76, 73, 374, 8523, 17, 916, 16, 318, 6931, 326, 8491, 291, 2485, 1920, 18, 203, 203, 1987, 203, 203, 3257, 2477, 1563, 7741, 22885, 1622, 203, 2107, 40166, 432, 33070, 43081, 1622, 9664, 2313, 11068, 292, 4530, 57, 7741, 22885, 396, 39274, 17, 11283, 13, 203, 2313, 806, 292, 3211, 7741, 22885, 203, 22349, 292, 225, 88, 76, 73, 7741, 22885, 396, 9288, 4792, 8250, 13, 203, 27294, 25875, 45342, 431, 6401, 19294, 291, 9708, 346, 225, 88, 76, 73, 3211, 23248, 33070, 4970, 203, 203, 11705, 23248, 33070, 4970, 2, 0, 56, 32869, 318, 225, 69, 24501, 291, 225, 88, 76, 73, 6065, 272, 4932, 291, 29161, 692, 296, 17, 39991, 285, 4125, 291, 32990, 4409, 18, 203, 203, 16177, 3299, 49696, 292, 13021, 1373, 93, 14036, 14223, 225, 69, 1864, 10136, 292, 225, 88, 76, 73, 26088, 383, 18598, 262, 291, 1260, 12934, 290, 544, 35755, 359, 225, 69, 4375, 4337, 20175, 18, 203, 203, 35370, 203, 203, 49034, 225, 203, 521, 15785, 292, 225, 88, 76, 73, 1565, 689, 56, 32869, 6, 371, 1146, 9181, 517, 1380, 1303, 423, 225, 88, 76, 73, 2764, 1816, 689, 6898, 2995, 573, 882, 339, 3305, 286, 225, 88, 76, 73, 19724, 292, 225, 88, 76, 73, 4227, 423, 573, 1981, 423, 5392, 286, 5000, 81, 291, 1260, 12934, 18, 18598, 262, 1013, 286, 339, 1740, 8453, 1473, 3971, 18, 203, 203, 6355, 1563, 203, 16713, 2285, 1335, 345, 291, 1260, 12934, 2167, 5064, 2560, 3024, 6060, 26286, 294, 11, 39991, 285, 4125, 396, 43, 4863, 38942, 13, 11145, 290, 1825, 1584, 225, 88, 76, 73, 14811, 555, 396, 58, 1365, 805, 859, 203, 203, 5733, 2107, 2446, 3299, 16, 18598, 262, 1013, 286, 339, 225, 69, 3911, 24893, 30961, 18, 203, 203, 18438, 225, 203, 56, 32869, 318, 2558, 291, 4409, 16, 291, 29161, 692, 296, 17, 39991, 285, 4125, 291, 225, 88, 76, 73, 6065, 272, 4932, 16, 1689, 389, 1018, 225, 34836, 11784, 2065, 754, 225, 88, 76, 73, 4227, 952, 357, 318, 641, 292, 225, 88, 76, 73, 689, 27511, 77, 82, 486, 2193, 460, 5477, 6, 396, 2854, 13263, 5477, 6187, 859, 203, 203, 13480, 225, 203, 1926, 318, 225, 69, 4218, 1204, 291, 18598, 262, 31, 2375, 1528, 658, 1148, 806, 1367, 427, 286, 3818, 1378, 1204, 2558, 291, 9655, 7166, 18, 1238, 318, 568, 225, 69, 4107, 1204, 1358, 286, 225, 88, 76, 73, 4218, 1204, 18, 203, 203, 46011, 4700, 1563, 203, 1926, 318, 279, 1367, 6681, 1577, 290, 225, 69, 1958, 88, 76, 17, 4577, 689, 24710, 33495, 1812, 296, 2256, 6, 3042, 18, 203, 203, 21430, 225, 203, 829, 18598, 262, 660, 318, 225, 69, 2746, 2595, 225, 69, 22072, 396, 84, 1812, 7889, 3673, 13, 8575, 16, 9915, 10857, 16, 290, 225, 69, 504, 225, 18902, 2595, 16, 225, 69, 8930, 17, 8705, 2595, 290, 225, 69, 7775, 2595, 18, 203, 203, 3591, 568, 203, 3244, 272, 292, 225, 88, 76, 73, 6065, 272, 4932, 203, 203, 1987, 203, 203, 3257, 2477, 203, 56, 32869, 16, 449, 264, 4227, 203, 203, 33649, 292, 6065, 272, 396, 16275, 2075, 13, 2, 0, 5616, 15257, 244, 71, 364, 3889, 77, 225, 318, 225, 69, 7613, 24501, 396, 92, 12765, 13, 290, 4227, 292, 225, 88, 76, 73, 1294, 2015, 13308, 4010, 292, 1294, 421, 8692, 9879, 16, 8438, 18, 601, 318, 2558, 3620, 431, 2441, 423, 755, 6404, 89, 40043, 15257, 244, 71, 18, 409, 1179, 4227, 292, 2570, 15257, 244, 71, 364, 3889, 77, 7689, 1509, 225, 88, 76, 73, 5428, 3290, 18, 203, 203, 33649, 292, 1294, 421, 8692, 9555, 203, 18844, 3152, 291, 1294, 421, 8692, 9555, 2, 0, 521, 6336, 1233, 5043, 2361, 17334, 2746, 962, 7167, 1233, 5043, 2361, 1495, 359, 225, 69, 2260, 292, 225, 88, 76, 73, 40948, 17011, 6654, 396, 11209, 2710, 13, 1154, 225, 88, 76, 73, 6336, 14817, 5669, 314, 17, 8654, 2746, 1569, 18, 20871, 431, 8821, 88, 76, 17, 2996, 1357, 3561, 18247, 14067, 16, 225, 88, 76, 73, 17334, 36174, 279, 3758, 1514, 292, 1136, 1180, 22, 290, 225, 69, 1031, 292, 848, 1180, 21, 291, 4975, 748, 16, 290, 4615, 225, 88, 76, 73, 14521, 2710, 3525, 346, 7472, 2361, 18, 1233, 5043, 2361, 385, 6800, 286, 225, 88, 76, 73, 14817, 5669, 314, 17, 8654, 7202, 6263, 17767, 16, 827, 544, 2970, 286, 22029, 2763, 8924, 34069, 2361, 18, 409, 17334, 1825, 225, 69, 2532, 3559, 2746, 2763, 9287, 18, 203, 203, 18082, 203, 203, 54, 6848, 203, 203, 1987, 203, 203, 4742, 5043, 2361, 203, 4742, 5043, 2361, 17334, 2746, 6806, 203, 10363, 3559, 2746, 2763, 6122, 203, 10371, 11612, 17011, 6654, 2746, 8924, 6806, 203, 4742, 5043, 2361, 17334, 2746, 2, 0, 38808, 4142, 666, 783, 3188, 286, 30, 203, 14397, 292, 16, 423, 16, 388, 3305, 286, 225, 88, 76, 73, 1868, 292, 32330, 203, 10669, 292, 32330, 203, 4169, 15712, 292, 32330, 203, 37262, 292, 32330, 1947, 203, 32330, 666, 363, 333, 1458, 2764, 203, 31117, 292, 32330, 203, 32330, 666, 13299, 203, 203, 3591, 568, 6286, 9964, 19144, 388, 3194, 32330, 16, 225, 69, 2677, 3194, 11275, 405, 9133, 291, 3194, 2699, 4523, 203, 17112, 666, 16, 225, 69, 12833, 28365, 292, 9742, 32654, 261, 1039, 291, 225, 88, 76, 73, 1946, 88, 76, 290, 1124, 88, 76, 10227, 203, 17112, 1947, 396, 20404, 13, 203, 203, 27961, 290, 29839, 617, 19749, 4503, 2, 0, 6, 49, 743, 694, 322, 24491, 701, 6, 318, 225, 88, 76, 73, 7191, 17, 14081, 2013, 431, 3194, 6693, 6135, 694, 16818, 18, 19633, 14420, 431, 225, 88, 76, 73, 3911, 225, 6693, 22722, 69, 291, 11488, 16, 16818, 526, 2693, 16, 3055, 431, 225, 290, 5409, 5915, 3828, 2154, 633, 1172, 1388, 2843, 292, 225, 88, 76, 73, 7423, 87, 18, 203 ]

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

[ 1128, 34711, 203, 203, 24953, 397, 8334, 203, 203, 2173, 88, 76, 1128, 1305, 203, 203, 2721, 88, 76, 1128, 1305, 203, 203, 33690, 20770, 1128, 1305, 203, 203, 50, 13871, 1128, 1305, 203, 203, 4899, 20770, 1128, 1305, 203, 203, 42, 7234, 1128, 1305, 203, 203, 20418, 1128, 1305, 203, 203, 13624, 203, 203, 13624, 11652, 203, 203, 17182, 5229, 6924, 225, 203, 521, 479, 17, 8593, 962, 290, 6924, 643, 3823, 325, 2967, 2382, 2153, 18, 203, 203, 3001, 17, 8593, 962, 203, 203, 15603, 203, 203, 35808, 203, 203, 8460, 3203, 10176, 366, 203, 203, 1987, 203, 203, 3257, 2477, 6286, 203, 18606, 5134, 526, 528, 17, 916, 7268, 1459, 6263, 203, 18606, 5134, 526, 528, 17, 916, 7268, 1459, 6263, 203, 11705, 38620, 11031, 7462, 431, 16453, 203, 18606, 528, 17, 916, 203, 18606, 5134, 526, 528, 17, 916, 7268, 1459, 6263, 203, 21430, 291, 18321, 41564, 86, 2, 0, 5616, 2944, 16114, 49480, 468, 318, 279, 1644, 7063, 16, 910, 1712, 326, 225, 88, 76, 73, 2450, 292, 16841, 36087, 18608, 291, 225, 88, 76, 73, 12253, 6840, 7440, 3710, 663, 1138, 16, 290, 326, 519, 5090, 5132, 359, 11594, 291, 225, 88, 76, 73, 25146, 1909, 430, 30583, 567, 18, 203, 203, 10449, 203, 9024, 695, 468, 959, 519, 7398, 4796, 291, 2153, 16, 2561, 11594, 291, 225, 88, 76, 73, 25146, 4239, 1909, 430, 30583, 567, 291, 225, 88, 76, 73, 5268, 689, 521, 35373, 290, 15778, 3810, 292, 30260, 1542, 43988, 2776, 2602, 3723, 2656, 409, 1150, 602, 16, 458, 2533, 225, 69, 1179, 2450, 291, 225, 88, 76, 73, 12253, 6840, 7440, 3710, 663, 1138, 359, 16841, 36087, 18608, 18, 49480, 468, 504, 225, 69, 2450, 291, 225, 88, 76, 73, 1782, 26981, 8780, 13483, 19678, 40755, 290, 4518, 73, 36013, 18, 557, 2698, 1920, 16, 544, 643, 4078, 291, 225, 88, 76, 73, 2450, 292, 27040, 582, 291, 225, 88, 76, 73, 389, 6633, 57, 1782, 3260, 9312, 16, 13483, 389, 44563, 6875, 291, 225, 88, 76, 73, 3525, 2450, 18, 1108, 568, 4938, 359, 411, 552, 69, 291, 1569, 1560, 292, 225, 88, 76, 73, 25146, 1909, 557, 15020, 16, 573, 15905, 291, 1910, 18, 203, 203, 9024, 695, 468, 504, 652, 4078, 291, 5432, 9378, 933, 13483, 19771, 2426, 1323, 1077, 290, 25274, 467, 1630, 34119, 18, 203, 203, 10220, 969, 203, 9024, 695, 468, 318, 225, 69, 1928, 48570, 982, 292, 23012, 36123, 32076, 596, 5789, 527, 291, 6093, 18, 1238, 544, 643, 4895, 431, 225, 69, 2013, 3223, 16, 290, 644, 9556, 10323, 698, 798, 3074, 359, 225, 69, 1873, 292, 519, 7681, 290, 3593, 18, 4631, 910, 1279, 318, 225, 69, 3260, 1022, 3259, 18, 49480, 468, 504, 928, 345, 1966, 286, 449, 10323, 28110, 581, 479, 1928, 48570, 717, 961, 290, 306, 1256, 39582, 16, 357, 504, 652, 2298, 286, 942, 6460, 7398, 519, 884, 7681, 18, 1790, 16, 544, 643, 568, 2675, 286, 748, 225, 69, 46534, 19891, 2448, 291, 3710, 663, 1138, 16, 2123, 345, 225, 88, 76, 73, 984, 15010, 3260, 5966, 16, 573, 7792, 286, 624, 18, 1563, 203, 2091, 2262, 3275, 16, 1910, 16, 25726, 16114, 6807, 345, 544, 352, 264, 3974, 961, 7035, 286, 346, 458, 19, 34325, 6300, 544, 19, 621, 18, 203, 203, 30366, 203, 203, 15963, 203, 203, 19162, 203, 203, 1987, 203, 203, 3257, 2477, 9664, 203, 2866, 334, 17, 4577, 1644, 7907, 203, 4387, 4239, 7907, 203, 11244, 292, 3470, 16, 7365, 13285, 7692, 203, 6657, 1110, 423, 1063, 2229, 396, 5337, 13, 203, 34237, 7956, 423, 225, 88, 76, 73, 1851, 2198, 203, 15786, 4686, 203, 4387, 1782, 7907, 203, 6004, 717, 203, 61, 1081, 1925, 292, 20868, 7692, 203, 4387, 1928, 17, 48570, 7907, 203, 16960, 262, 7907, 203, 16960, 262, 3852, 203, 23260, 17, 4387, 7907, 203, 34237, 4958, 7218, 203, 2866, 334, 17, 4577, 4958, 17, 4387, 717, 203, 34237, 717, 423, 6093, 2, 0, 6685, 615, 14920, 290, 225, 88, 76, 73, 5528, 292, 957, 17835, 318, 225, 69, 12647, 4026, 262, 666, 2047, 16, 15227, 291, 1846, 1244, 17, 55, 10229, 666, 9626, 16, 8772, 291, 225, 88, 76, 73, 27635, 17, 55, 10229, 666, 2223, 396, 5991, 18, 2967, 334, 3503, 8625, 859, 203, 1266, 318, 554, 292, 225, 69, 1909, 292, 5983, 15041, 225, 88, 76, 73, 15510, 1133, 2433, 615, 14920, 16, 6199, 292, 834, 736, 17, 47, 362, 15646, 16, 290, 225, 88, 76, 73, 36077, 6199, 292, 957, 17835, 18, 203, 203, 8848, 357, 3158, 225, 69, 4026, 262, 666, 2047, 292, 225, 88, 76, 73, 689, 13103, 3204, 292, 47723, 2995, 290, 568, 7560, 2433, 615, 14920, 23453, 20015, 383, 6860, 333, 89, 290, 7093, 3070, 16, 357, 504, 16, 1364, 225, 88, 76, 73, 595, 292, 14828, 41193, 16, 652, 4809, 346, 225, 88, 76, 73, 12538, 292, 11838, 303, 10007, 291, 225, 88, 76, 73, 3949, 292, 23617, 18, 203, 203, 40617, 203, 23226, 225, 88, 76, 73, 3352, 292, 225, 88, 76, 73, 2047, 16, 225, 88, 76, 73, 1737, 3942, 318, 2758, 30, 689, 829, 1059, 1477, 292, 305, 399, 16, 650, 225, 88, 76, 73, 3221, 77, 29399, 643, 6601, 16, 225, 88, 76, 73, 891, 46238, 3842, 834, 736, 31887, 15646, 526, 430, 17, 2571, 286, 8708, 709, 1357, 864, 18, 33344, 16, 290, 12204, 25571, 290, 225, 88, 76, 73, 4716, 573, 4917, 7948, 294, 495, 1047, 34421, 643, 857, 4179, 291, 834, 736, 31887, 15646, 18, 6344, 225, 88, 76, 73, 2171, 292, 27526, 20854, 2162, 13659, 16, 225, 88, 76, 73, 430, 17, 2571, 292, 834, 736, 31887, 15646, 385, 761, 5141, 1556, 203, 203, 41, 17, 2571, 385, 225, 69, 10950, 291, 7093, 3070, 2387, 291, 13665, 292, 225, 88, 76, 73, 22665, 557, 9865, 16, 225, 88, 76, 73, 689, 80, 4091, 292, 479, 225, 88, 76, 73, 3931, 6, 1180, 12, 41, 17, 2571, 318, 1866, 3409, 292, 1294, 9098, 388, 1866, 25158, 1186, 292, 1294, 49513, 225, 17772, 16, 225, 88, 76, 73, 23786, 292, 957, 17835, 504, 3544, 27493, 291, 557, 9865, 526, 1565, 16, 517, 780, 1071, 449, 942, 442 ]

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

[ 623, 18464, 291, 225, 88, 76, 73, 5974, 290, 1185, 225, 88, 76, 73, 13236, 290, 7859, 345, 459, 744, 624, 1033, 290, 1156, 10832, 18, 203, 4945, 2512, 32295, 3020, 286, 225, 69, 1319, 292, 1046, 5361, 2172, 290, 2130, 318, 225, 69, 1241, 292, 29073, 2003, 754, 7440, 5003, 345, 408, 427, 2389, 290, 5846, 3077, 326, 2277, 203, 28053, 505, 484, 9118, 203, 4381, 262, 4911, 203, 38782, 2255, 203, 34911, 277, 2605, 10890, 203, 40, 569, 413, 383, 548, 203, 27661, 7818, 203, 20182, 277, 203, 5089, 1221, 40032, 203, 10220, 2707, 203, 4685, 18163, 3704, 203, 15568, 2473, 5320, 2548, 203, 4280, 29073, 7440, 2003, 5003, 479, 427, 383, 519, 5399, 225, 88, 76, 73, 2219, 961, 290, 225, 88, 76, 73, 745, 3044, 836, 292, 14492, 13186, 803, 5974, 318, 754, 225, 88, 76, 73, 787, 292, 7440, 18, 738, 836, 16, 1619, 13560, 424, 785, 527, 225, 88, 76, 73, 1986, 4603, 544, 427, 4148, 346, 1902, 38891, 325, 225, 69, 2692, 292, 4190, 18, 2519, 42538, 225, 88, 76, 73, 1619, 664, 442, 16, 408, 424, 3736, 4092, 286, 1229, 969, 2148, 290, 4047, 225, 88, 76, 73, 5579, 2245, 291, 519, 6455, 6460, 359, 225, 88, 76, 73, 1619, 27435, 18, 203, 7957, 3415, 352, 87, 3354, 318, 2190, 345, 352, 87, 1656, 479, 292, 531, 7440, 1653, 13689, 371, 6498, 21976, 290, 2389, 5655, 326, 531, 2277, 541, 359, 225, 88, 76, 73, 2388, 318, 1230, 11517, 545, 290, 5107, 18, 2, 0, 1744, 12801, 5195, 396, 29451, 292, 225, 88, 76, 73, 1816, 689, 1744, 12801, 5195, 6, 318, 225, 69, 1452, 27624, 11704, 423, 225, 88, 76, 73, 1761, 13, 318, 959, 291, 8185, 290, 357, 318, 554, 292, 225, 88, 76, 73, 2190, 5930, 291, 225, 88, 76, 73, 1297, 18, 640, 12801, 5195, 318, 225, 69, 1968, 20319, 41310, 337, 15093, 16, 14050, 16, 7428, 744, 17, 406, 396, 12380, 359, 27760, 388, 12523, 13, 290, 568, 225, 69, 7925, 29407, 282, 1214, 3687, 291, 554, 5, 30406, 290, 15724, 7523, 292, 16900, 16, 1709, 286, 1973, 290, 3881, 319, 7108, 2898, 396, 1325, 388, 823, 1308, 1053, 4172, 5640, 318, 2505, 13, 595, 290, 2611, 7207, 2241, 760, 595, 18, 26884, 2396, 946, 3267, 2955, 286, 1770, 797, 2277, 383, 225, 88, 76, 73, 1150, 595, 431, 797, 13651, 18, 2060, 292, 225, 88, 76, 73, 11820, 16, 7207, 290, 24540, 1646, 291, 225, 88, 76, 73, 1297, 1660, 573, 14374, 595, 290, 7380, 6705, 326, 1040, 1512, 388, 7758, 18, 5052, 1787, 2003, 31941, 16, 3955, 1344, 2003, 388, 3955, 291, 17, 8651, 2003, 5003, 371, 568, 1349, 18, 5329, 524, 225, 88, 76, 73, 1324, 1344, 3907, 2003, 4520, 326, 640, 12801, 5195, 526, 20319, 41310, 337, 15093, 326, 225, 88, 76, 73, 3687, 4471, 16, 36397, 16, 1032, 10325, 290, 16900, 9090, 290, 225, 88, 76, 73, 2450, 292, 640, 12801, 5195, 526, 2145, 520, 1660, 5, 2, 0, 31472, 10976, 414, 18, 10976, 2243, 3954, 30, 34553, 278, 445, 706, 225, 88, 76, 73, 40475, 1067, 352, 4037, 774, 19167, 7202, 9300, 30, 6168, 384, 203, 32694, 7469, 34553, 203, 31472, 10976, 414, 18, 10976, 2451, 2243, 3954, 30, 34553, 278, 445, 706, 225, 88, 76, 73, 40475, 1067, 352, 4037, 203, 9692, 1557, 3335, 728, 326, 3715, 3184, 352, 87, 9161, 18, 203, 3462, 5790, 67, 3532, 1077, 36, 23783, 12137, 71, 27684, 13152, 1260, 16, 2451, 16, 685, 30, 6011, 3288, 33533, 203, 4696, 442, 1806, 203, 4696, 442, 325, 3814, 203, 4696, 442, 325, 5491, 203, 4696, 1558, 4615, 2530, 203, 4696, 1558, 4615, 2530, 326, 30, 7942, 10976, 414, 18, 10976, 2451, 2243, 3954, 30, 34553, 278, 445, 706, 225, 88, 76, 73, 40475, 1067, 352, 4037, 203, 38405, 203, 46428, 203, 42906, 3136, 203, 7412, 203, 8323, 48779, 1586, 17, 17185, 30624, 6610, 203, 10608, 225, 88, 76, 73, 3498, 17, 2455, 1419, 658, 225, 88, 76, 73, 40475, 1067, 16, 1660, 352, 87, 1305, 385, 279, 18472, 16, 5375, 7498, 326, 10976, 4329, 18, 601, 385, 279, 24940, 345, 289, 620, 3863, 624, 785, 286, 225, 88, 76, 73, 28572, 17, 17048, 1477, 292, 305, 399, 1641, 5518, 16, 2616, 16, 314, 1940, 1641, 15461, 10976, 385, 5322, 9029, 286, 942, 225, 69, 1419, 1584, 225, 88, 76, 73, 430, 47, 57, 40475, 1067, 18, 203, 1200, 1305, 905, 449, 427, 652, 2405, 18, 203, 32694, 7469, 905, 449, 427, 3737, 359, 279, 3619, 359, 544, 979, 18, 8194, 18509, 34510, 519, 502, 225, 88, 76, 73, 7385, 2246, 715, 3190, 27407, 670, 9580, 6875, 318, 6824, 292, 18, 203, 24512, 16, 1660, 352, 87, 1305, 385, 225, 69, 2315, 21220, 286, 2029, 16, 290, 357, 3461, 352, 88, 715, 952, 292, 1228, 10976, 385, 1870, 3660, 18, 36924, 7915, 468, 8402, 2562, 17082, 32968, 16, 9981, 6906, 16, 290, 8496, 46119, 479, 8792, 7474, 1154, 225, 88, 76, 73, 1305, 16, 346, 7915, 468, 1902, 9046, 286, 225, 88, 76, 73, 26635, 1628, 326, 225, 69, 877, 25032, 292, 225, 88, 76, 73, 6213, 290, 6906, 7881, 522, 5516, 346, 554, 1361, 1736, 291, 225, 88, 76, 73, 1305, 18, 203, 5632, 16, 1912, 7915, 468, 1882, 785, 16, 357, 5300, 359, 691, 458, 385, 785, 286, 522, 1367, 2271, 18, 557, 225, 88, 76, 73, 1361, 2333, 16, 458, 385, 1912, 1001, 22072, 658, 21395, 16, 16501, 624, 286, 1353, 1220, 388, 543, 6787, 325, 950, 715, 286, 949, 950, 968, 18, 7915, 468, 3846, 346, 658, 2313, 19019, 8132, 290, 225, 69, 18703, 16, 225, 69, 543, 720, 4516, 7498, 18, 203, 5962, 4998, 7905, 326, 225, 88, 76, 73, 10976, 13154, 1706, 9580, 6875, 290, 1143, 4403, 512, 29151, 16, 346, 225, 88, 76, 73, 7641, 46569, 527, 18979, 8132, 325, 225, 69, 1162, 1142, 15048, 20840, 345, 3682, 10190, 225, 88, 76, 73, 14598, 291, 225, 88, 76, 73, 34553, 352, 87, 2507, 3080, 1631, 18, 29151, 1380, 339, 2110, 325, 225, 88, 76, 73, 7523, 7690, 16, 517, 458, 959, 225, 88, 76, 73, 745, 292, 225, 88, 76, 73, 2561, 595, 458 ]

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

[ 12886, 16, 225, 88, 76, 73, 1840, 6199, 4619, 4148, 292, 670, 644, 4527, 286, 522, 13286, 2974, 290, 11107, 286, 44628, 10523, 633, 7240, 290, 2067, 18, 1563, 203, 829, 2116, 12388, 16, 1154, 15541, 380, 700, 367, 352, 87, 2630, 602, 292, 13306, 16, 780, 2524, 225, 88, 76, 73, 6338, 292, 23972, 367, 396, 167, 232, 235, 41329, 259, 233, 13, 290, 378, 9108, 766, 73, 396, 166, 245, 239, 30096, 230, 259, 13, 291, 1583, 6788, 326, 633, 35087, 484, 3525, 18, 557, 1583, 6731, 16, 1154, 225, 69, 35956, 16, 225, 88, 76, 73, 3173, 5508, 292, 225, 88, 76, 73, 5096, 17, 21999, 30480, 225, 88, 76, 73, 9163, 292, 4622, 8706, 12164, 18647, 518, 396, 23682, 2938, 25078, 47659, 13, 325, 225, 88, 76, 73, 20443, 290, 782, 6770, 18, 203, 203, 521, 7296, 49089, 3904, 325, 2272, 2698, 1583, 1878, 383, 225, 88, 76, 73, 2184, 292, 16524, 1434, 421, 47905, 70, 477, 12436, 352, 87, 25638, 12436, 18, 203, 203, 4290, 318, 11002, 291, 1776, 263, 264, 1828, 396, 43, 700, 1918, 16, 23369, 16, 2027, 8185, 13, 346, 633, 4252, 290, 522, 724, 3564, 16, 7296, 15355, 469, 5928, 18, 203, 203, 12937, 203, 28224, 4327, 21604, 774, 25608, 8906, 396, 173, 255, 102, 173, 251, 102, 16, 24978, 113, 122, 166, 99, 100, 13, 203, 21604, 774, 25608, 28982, 396, 173, 255, 102, 172, 238, 122, 16, 24978, 113, 122, 166, 99, 251, 13, 203, 9589, 33018, 25608, 9331, 396, 2566, 3732, 696, 1260, 2355, 2116, 10266, 13, 396, 173, 255, 102, 174, 251, 121, 16, 24978, 113, 122, 166, 101, 248, 13, 203, 21604, 774, 25608, 378, 3014, 396, 173, 255, 102, 174, 248, 117, 16, 24978, 113, 122, 166, 257, 246, 13, 203, 21604, 774, 25608, 9402, 396, 173, 255, 102, 174, 230, 231, 16, 24978, 113, 122, 166, 256, 104, 13, 203, 21604, 774, 25608, 11576, 396, 173, 255, 102, 174, 239, 239, 16, 24978, 113, 122, 166, 256, 99, 13, 203, 377, 13, 4622, 10178, 33018, 25608, 4532, 17, 13917, 396, 2566, 6731, 696, 2116, 7264, 13, 396, 173, 255, 102, 173, 229, 125, 173, 229, 113, 16, 24978, 113, 122, 22013, 236, 166, 114, 114, 13, 1563, 384, 13, 3677, 17, 18800, 10178, 33018, 25608, 2408, 367, 396, 173, 255, 102, 171, 116, 102, 16, 24978, 113, 122, 166, 28884, 13, 396, 35, 774, 1814, 2209, 2116, 2905, 13, 203, 685, 13, 3677, 17, 9083, 17, 18800, 10178, 33018, 25608, 1776, 1828, 17, 40577, 396, 173, 255, 102, 173, 237, 122, 173, 235, 255, 16, 24978, 113, 122, 167, 236, 128, 170, 259, 233, 13, 396, 35, 774, 2272, 12721, 13, 203, 832, 13, 3677, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 25608, 8118, 477, 396, 173, 255, 102, 173, 115, 252, 16, 24978, 113, 122, 170, 252, 258, 13, 396, 35, 774, 2272, 13041, 13, 203, 848, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 25608, 332, 809, 17, 87, 3070, 396, 173, 255, 102, 173, 248, 235, 173, 235, 252, 16, 24978, 113, 122, 38162, 236, 167, 120, 244, 13, 203, 1025, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 25608, 2127, 396, 173, 255, 102, 172, 116, 117, 16, 24978, 113, 122, 168, 242, 102, 13, 396, 35, 774, 2272, 4457, 13, 203, 1148, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 61, 367, 4857, 396, 173, 255, 102, 173, 235, 255, 16, 24978, 113, 122, 168, 117, 247, 13, 203, 1188, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 25608, 48974, 17, 27939, 396, 173, 255, 102, 172, 116, 118, 173, 254, 243, 16, 24978, 113, 122, 166, 127, 107, 35601, 230, 13, 203, 1260, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10178, 33018, 25608, 23784, 17, 1256, 73, 396, 173, 255, 102, 173, 230, 228, 171, 116, 231, 16, 24978, 113, 122, 166, 248, 233, 48654, 101, 13, 396, 35, 774, 10508, 21, 13, 203, 1148, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10898, 33018, 8925, 20754, 203, 1025, 13, 3677, 17, 9083, 17, 9083, 17, 9083, 17, 9083, 17, 18800, 10898, 33018, 8925, 2409, 203, 832, 13, 3677, 17, 9083, 17, 9083, 17, 18800, 10898, 33018, 8925, 20754, 203, 685, 13, 3677, 17, 9083, 17, 18800, 10898, 33018, 8925, 20754, 292, 225, 88, 76, 73, 389, 847, 700, 20754, 20472, 396, 172, 238, 106, 173, 249, 244, 25800, 256, 117, 173, 247, 106, 13, 203, 384, 13, 3677, 17, 18800, 10898, 33018, 8925, 9034, 292, 225, 88, 76, 73, 8118, 518, 11460, 9034, 20472, 396, 173, 115, 260, 173, 101, 125, 225, 174, 248, 255, 173, 247, 106, 5507, 25608, 2408, 367, 352, 87, 1361, 3564, 203, 377, 13, 4622, 10898, 33018, 8925, 6472, 292, 225, 88, 76, 73, 421, 618, 518, 6472, 20472, 396, 171, 116, 259, 173, 231, 114, 25800, 256, 117, 173, 247, 106, 13, 203, 8919, 33018, 20741, 14086, 3246, 422, 577, 12195, 261, 292, 225, 88, 76, 73, 8797, 32283, 478, 12195, 20472, 396, 173, 250, 113, 173, 248, 235, 172, 119, 227, 172, 119, 227, 30357, 121, 30593, 238, 117, 173, 249, 244, 25800, 259, 231, 173, 247, 106, 16, 24978, 124, 119, 38162, 236, 166, 123, 255, 32704, 109, 31441, 123, 30096, 126, 260, 170, 252, 126, 38434, 247, 113, 167, 113, 242, 13, 396, 2566, 2866, 774, 19192, 13, 203, 377, 13, 4622, 10178, 33018, 478, 12195, 478, 9108, 17, 2943, 73, 518, 396, 2566, 3732, 696, 1583, 2866, 13, 396, 173, 259, 231, 173, 100, 239, 172, 108, 232, 16, 38434, 247, 113, 45592, 243, 166, 244, 126, 13, 203, 377, 13, 4622, 10898, 33018, 8925, 20754, 292, 225, 88, 76, 73, 478, 12195, 11460, 20754, 20472, 396, 173, 259, 231, 173, 101, 125, 25800, 256, 117, 173, 247, 106, 13, 203, 203, 55, 26613, 4327, 28368, 3845, 33018, 25608, 45067, 17, 306, 396, 173, 255 ]

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

[ 7713, 2387, 291, 27636, 616, 10690, 225, 69, 3295, 16981, 16, 786, 8573, 16, 11013, 654, 13382, 18, 707, 715, 928, 16, 1392, 1200, 318, 357, 7318, 828, 943, 985, 1541, 942, 44955, 664, 345, 16, 874, 291, 225, 88, 76, 73, 11596, 23179, 87, 1076, 332, 797, 602, 13363, 857, 3938, 16, 42328, 225, 69, 11617, 17, 16230, 4245, 2595, 346, 225, 69, 1958, 17, 22751, 22072, 25801, 290, 1518, 2758, 431, 4995, 37883, 18, 203, 203, 829, 1408, 286, 709, 864, 17, 445, 1986, 290, 864, 17, 11035, 1787, 9366, 16, 12140, 11661, 318, 44111, 1858, 31082, 291, 7330, 290, 11827, 3722, 65, 7215, 3387, 18, 1099, 48471, 504, 6846, 16, 616, 4879, 2964, 5455, 2838, 1883, 7451, 18, 601, 526, 554, 909, 286, 18717, 286, 624, 346, 225, 69, 2211, 17, 4414, 1848, 16, 517, 357, 526, 2298, 650, 313, 2164, 15937, 479, 225, 88, 76, 73, 8573, 16, 13382, 16, 11850, 16, 6551, 16, 290, 1593, 13144, 18, 1558, 225, 88, 76, 73, 13549, 3091, 504, 286, 339, 7330, 4790, 12708, 18, 707, 2164, 2313, 9, 2109, 17, 16780, 18, 707, 352, 315, 1353, 291, 225, 69, 1171, 292, 2401, 1598, 16, 13691, 2410, 225, 88, 76, 73, 6249, 706, 650, 660, 526, 23265, 291, 225, 88, 76, 73, 1128, 18, 409, 28867, 290, 23597, 371, 479, 2110, 17, 5820, 18, 409, 3232, 318, 959, 292, 14983, 13736, 18, 707, 2164, 449, 5254, 654, 29876, 18201, 18, 707, 352, 315, 5515, 5828, 8042, 18, 707, 787, 1491, 5418, 18, 707, 787, 14983, 3156, 291, 531, 5999, 18, 601, 526, 823, 2645, 3794, 1076, 203, 203, 2091, 2429, 3143, 16, 2855, 16, 409, 1063, 2229, 6320, 4001, 345, 225, 88, 76, 73, 12140, 11661, 703, 339, 10383, 286, 9194, 9635, 290, 3023, 18, 1507, 2209, 1188, 16, 2730, 12140, 11661, 9194, 9635, 18443, 325, 225, 88, 76, 73, 27822, 346, 225, 88, 76, 73, 2595, 526, 9690, 11661, 437, 1465, 16, 6650, 12352, 437, 290, 1403, 4694, 16, 3938, 225, 69, 1162, 1477, 1708, 431, 225, 69, 1403, 984, 423, 26201, 47596, 290, 409, 30617, 18, 12140, 11661, 9194, 9635, 318, 225, 69, 384, 16, 1318, 17, 16230, 4245, 16, 797, 17, 16764, 16, 7410, 16121, 5209, 291, 279, 4920, 16, 1318, 5238, 1834, 3053, 1434, 45522, 53, 16, 43339, 1239, 10988, 526, 4783, 16, 7366, 290, 6560, 1803, 18, 557, 2730, 12140, 11661, 9194, 9635, 1825, 225, 88, 76, 73, 9194, 9635, 18301, 526, 6746, 11, 2947, 3325, 326, 3829, 7088, 36950, 18, 557, 2616, 12140, 11661, 9194, 9635, 385, 3249, 3829, 35208, 33181, 290, 3829, 8938, 20252, 36950, 291, 225, 88, 76, 73, 9194, 9635, 4931, 17, 25547, 616, 7146, 2924, 550, 6894, 18, 601, 568, 385, 3249, 3829, 7088, 4107, 36950, 291, 9194, 9635, 431, 8734, 3763, 34536, 18, 27946, 366, 427, 2765, 36510, 2699, 16, 5541, 4367, 16, 2212, 18641, 16, 10100, 526, 36936, 16, 3432, 411, 8400, 954, 10185, 16, 5358, 12034, 16, 45093, 39437, 287, 989, 16, 5413, 22166, 2143, 16, 34500, 428, 11, 31614, 16, 409, 4984, 5593, 13457, 16, 430, 732, 79, 1021, 8194, 89, 16, 7280, 7075, 3341, 16, 374, 3771, 74, 8639, 16, 409, 26784, 22743, 41245, 16, 16594, 272, 10372, 41951, 8018, 16, 38905, 16, 21567, 19621, 16, 1832, 14650, 35474, 16, 5358, 36394, 954, 409, 5595, 8018, 16, 12782, 18768, 954, 409, 428, 35267, 41221, 16, 49370, 335, 40272, 5737, 290, 15791, 83, 18, 203, 203, 37777, 8981, 11661, 3023, 318, 12665, 286, 225, 88, 76, 73, 14023, 15614, 18, 409, 7706, 2221, 1519, 20475, 292, 22072, 291, 225, 69, 5209, 345, 6019, 10030, 20390, 18, 409, 1063, 2229, 6320, 26348, 345, 48471, 644, 4862, 225, 69, 1583, 17, 2996, 12473, 346, 332, 24812, 16, 573, 14587, 225, 88, 76, 73, 14023, 18, 225, 12140, 11661, 3023, 2221, 819, 17, 1485, 2014, 1509, 346, 609, 2536, 1452, 16, 1027, 7810, 225, 88, 76, 73, 9690, 11936, 4203, 346, 225, 88, 76, 73, 2536, 12140, 11661, 16, 573, 22544, 9857, 504, 3249, 554, 292, 225, 88, 76, 73, 3829, 25749, 291, 3146, 290, 22071, 357, 225, 689, 582, 292, 225, 88, 76, 73, 745, 5754, 3152, 325, 5301, 18, 12140, 11661, 3023, 504, 652, 1316, 286, 2737, 14897, 17, 7285, 14970, 664, 48220, 8561, 6642, 16, 8925, 3388, 73, 8316, 410, 290, 6736, 4780, 6350, 1434, 709, 6502, 11058, 7849, 1803, 18, 601, 3909, 325, 2494, 1958, 16, 2730, 346, 225, 69, 1403, 984, 6650, 225, 88, 76, 73, 12140, 11661, 1558, 17, 25133, 16, 6650, 1592, 292, 12352, 437, 290, 3388, 27864, 287, 16, 3040, 423, 519, 1177, 325, 14299, 291, 393, 7060, 31547, 4168, 3852, 596, 427, 4938, 383, 225, 88, 76, 73, 7706, 1706, 3523, 1384, 82, 5180, 16, 3432, 411, 8400, 16, 8453, 570, 21743, 3776, 16, 6832, 15848, 6642, 16, 378, 812, 1034, 22508, 16, 40434, 2156, 8402, 2562, 14992, 27257, 885, 16, 19006, 985, 351, 2031, 16, 11156, 18070, 17437, 16, 351, 565, 83, 14264, 16, 528, 14375, 3996, 526, 48155, 16, 5358, 36394, 954, 409, 5595, 8018, 16, 32398, 2335, 5874, 27647, 8018, 290, 25075, 42160, 18, 12140, 11661, 526, 3023, 524, 13263, 385, 6040, 4673, 819, 1220, 806, 291, 2451, 18, 203, 203, 521, 19453, 7603, 203, 203, 1759, 368, 8530, 526, 1358, 1512, 1882, 286, 35715, 325, 2427, 832, 16, 2862, 650, 6092, 20504, 1837, 225, 88, 76, 73, 3232, 286, 1031, 225, 88, 76, 73, 307, 17, 29081, 292, 225, 88, 76, 73, 19453, 7603, 291, 3807, 18706, 16, 6303, 18, 409, 5209, 385, 2387, 291, 18369, 290, 2389, 431, 554, 292, 225, 88, 76, 73, 7099, 526, 3173, 10322, 15955, 16, 5442, 374, 18, 17269, 18, 601, 724, 2897, 787, 359, 225, 69, 7849, 1803, 291, 6799, 16, 7216, 7568, 431, 409, 1233, 7356, 10189, 16, 14589, 21735, 16, 2011, 293, 478, 404, 2417, 290, 798, 1761, 18, 9931, 225, 69, 19815, 887, 292, 225, 69, 1162, 806, 16, 225, 88, 76, 73, 5209, 3731, 225, 69, 5090, 41046, 291, 225, 88, 76, 73, 5969, 87, 346, 2719, 423, 363, 30159, 16, 14539, 49159, 16, 22285, 26306, 16, 26560, 16268, 290, 7568, 431, 409, 22544, 26224, 290, 3906, 30157 ]

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

[ 18, 2591, 292, 225, 88, 76, 73, 3872, 2212, 36639, 2970, 291, 3486, 643, 522, 3900, 4068, 350, 3224, 16, 522, 28904, 286, 11245, 10638, 526, 8017, 14548, 1486, 290, 16, 4722, 16, 522, 6981, 286, 10165, 1656, 458, 703, 744, 225, 69, 1317, 4115, 720, 10638, 18, 774, 7037, 30, 3906, 6529, 48038, 203, 42, 23376, 15530, 29171, 203, 7, 2566, 18, 1911, 2669, 708, 3900, 4068, 350, 709, 13281, 16, 1434, 6042, 16, 479, 385, 631, 1001, 326, 225, 69, 3565, 10068, 952, 357, 644, 12448, 524, 708, 286, 4659, 709, 2925, 292, 31408, 18, 1238, 774, 7037, 30, 9719, 4759, 45006, 17, 38, 618, 203, 7, 2173, 18, 601, 385, 26427, 1060, 633, 16, 1334, 6673, 203, 12957, 4357, 290, 709, 16095, 24693, 16, 780, 2004, 16, 709, 2647, 1363, 49004, 16, 225, 88, 76, 73, 34727, 292, 709, 3900, 4068, 350, 43978, 18, 774, 7037, 30, 28128, 10100, 8653, 203, 7, 2455, 18, 3791, 717, 1934, 286, 3307, 3946, 16, 2162, 225, 88, 76, 73, 11062, 292, 654, 10568, 388, 3946, 2513, 6625, 225, 69, 2925, 292, 34727, 290, 225, 88, 76, 73, 3900, 4068, 350, 1185, 292, 969, 345, 541, 798, 717, 17830, 581, 18, 774, 7037, 30, 9506, 37081, 203, 38, 2126, 298, 4433, 30260, 203, 7, 2419, 18, 996, 313, 4973, 398, 11111, 8204, 15210, 16, 857, 357, 526, 3900, 4068, 350, 290, 786, 1189, 286, 2029, 18, 774, 7037, 30, 3432, 9302, 323, 203, 16909, 40264, 31352, 203, 7, 1758, 18, 707, 479, 688, 225, 88, 76, 73, 1185, 292, 5673, 291, 3081, 3371, 30708, 532, 554, 927, 290, 3900, 4068, 350, 225, 88, 76, 73, 823, 1358, 18, 409, 2809, 318, 449, 2442, 408, 659, 286, 942, 225, 69, 543, 16833, 3081, 18, 774, 7037, 30, 28489, 13273, 76, 29014, 203, 4332, 8390, 10461, 393, 7677, 370, 433, 34989, 4068, 350, 25840, 203, 7, 916, 18, 996, 313, 371, 1870, 1334, 7021, 326, 1621, 290, 1342, 225, 69, 1229, 5875, 5791, 16, 357, 459, 16457, 698, 1334, 345, 20672, 225, 69, 5615, 290, 345, 504, 786, 4267, 286, 313, 18, 828, 783, 449, 821, 442, 16, 517, 313, 424, 339, 1336, 345, 225, 88, 76, 73, 1502, 459, 1156, 357, 290, 345, 544, 459, 2834, 398, 548, 291, 225, 88, 76, 73, 1150, 3900, 4068, 350, 225, 2, 0, 272, 904, 2452, 38689, 15740, 203, 3113, 325, 2429, 1148, 16, 2730, 431, 5314, 10426, 17, 55, 42810, 291, 4582, 16, 8508, 17, 43761, 20519, 16, 5362, 38411, 15761, 1669, 5032, 203, 28540, 596, 371, 3347, 581, 225, 88, 76, 73, 785, 17, 273, 17, 13250, 1569, 371, 8074, 286, 949, 225, 69, 764, 383, 225, 88, 76, 73, 30884, 290, 225, 88, 76, 73, 2980, 290, 6213, 673, 17, 13250, 3064, 3884, 383, 225, 88, 76, 73, 6736, 4558, 5129, 10492, 8242, 2916, 18, 21192, 346, 1528, 423, 38894, 754, 225, 88, 76, 73, 2184, 292, 2701, 371, 6800, 286, 2226, 225, 88, 76, 73, 30884, 290, 21163, 5209, 16, 573, 318, 2558, 325, 225, 88, 76, 73, 5314, 10426, 17, 55, 42810, 5671, 383, 34860, 8333, 3568, 291, 18786, 18, 203, 521, 6736, 4558, 5129, 10492, 8242, 2916, 2134, 5008, 17801, 326, 1040, 2184, 1275, 16, 423, 23724, 754, 1059, 8434, 673, 17, 13250, 18, 34777, 17, 26080, 5105, 371, 1349, 291, 1040, 8355, 290, 225, 88, 76, 73, 1103, 17, 33643, 10412, 48472, 286, 388, 24474, 1627, 4728, 18, 557, 1408, 286, 225, 88, 76, 73, 21820, 17801, 16, 660, 318, 279, 479, 17, 22771, 1628, 326, 3577, 9554, 748, 290, 5441, 12162, 16, 359, 761, 359, 225, 69, 7258, 1628, 326, 1059, 1528, 596, 783, 2377, 2923, 1154, 225, 88, 76, 73, 927, 18, 409, 3313, 318, 7482, 346, 797, 5008, 43284, 16, 554, 326, 6711, 286, 375, 290, 554, 326, 4438, 1528, 18, 4313, 1628, 504, 631, 3091, 16, 359, 761, 359, 2388, 8626, 326, 10657, 748, 16, 9421, 16, 4038, 16, 43384, 16, 4732, 290, 1257, 748, 16, 2576, 16, 290, 1452, 18, 203, 521, 6736, 4558, 5129, 10492, 8242, 2916, 16, 573, 504, 652, 3249, 819, 361, 18, 13518, 12622, 290, 9141, 10632, 14111, 12622, 16, 3667, 616, 26507, 28007, 550, 291, 479, 292, 709, 3064, 18, 616, 26507, 28007, 3058, 16310, 286, 946, 225, 69, 21163, 1167, 345, 12344, 1528, 1263, 5267, 2548, 290, 3058, 624, 286, 970, 16946, 1395, 5189, 19179, 5276, 1517, 375, 16, 3850, 17029, 383, 5314, 10426, 17, 55, 42810, 18, 616, 521, 17801, 371, 917, 527, 286, 1422, 3834, 286, 1040, 1103, 352, 87, 927, 16, 290, 286, 1369, 4646, 3901, 326, 1528, 16, 291, 12155, 346, 519, 1398, 292, 1750, 18, 409, 9764, 568, 7560, 3366, 291, 225, 88, 76, 73, 1167, 16, 290, 10576, 2388, 291, 16773, 16, 10533, 16, 4038, 16, 1670, 4206, 16, 225, 88, 76, 73, 6079, 16, 290, 2216, 1027, 5602, 1528, 352, 87, 1670, 290, 5875, 1750, 1076, 203, 829, 1408, 286, 225, 88, 76, 73, 13776, 9764, 16, 1504, 7647, 423, 225, 88, 76, 73, 1063, 7185, 5432, 8150, 366, 1167, 1182, 9772, 5650, 12162, 16, 2988, 17, 263, 2388, 2580, 290, 4027, 581, 7930, 286, 225, 88, 76, 73, 1528, 18, 409, 1063, 7185, 5432, 8150, 366, 371, 6025, 7647, 596, 2235, 225, 88, 76, 73, 38493, 1063, 7185, 23009, 34802, 8236, 32813, 24572, 291, 709, 3929, 286, 2611, 50232, 3064, 290, 1216, 286, 225, 88, 76, 73, 2639, 1502, 18, 7961, 16, 279, 5650, 1452, 1167, 326, 225, 88, 76, 73, 21163, 318, 2750, 291, 1750, 18, 203, 1109, 988, 371, 11434, 286, 339, 1316, 286, 1182, 1604, 26988, 1382, 290, 225, 69, 19389, 21163, 1167, 286, 225, 88, 76, 73, 1504, 291, 225, 69, 1627, 17, 1586, 17, 88, 76, 73, 17, 407, 1848, 1395, 6246, 29772, 21596, 17, 2428, 263, 16, 7563, 4136, 292, 5314, 10426, 17, 55, 42810, 18, 616, 2058, 2246, 318, 3281, 16, 531, 1637, 318, 2089, 16, 290, 225, 88, 76, 73, 9764, 408, 1182, 459, 2359, 345, 479, 292, 225, 88, 76, 73, 1528, 4265, 291, 531, 1028, 1973, 225, 88, 76, 73, 1670, 290, 5267, 2548, 544, 659, 286, 6675, 1076, 203, 521, 6736, 4558 ]

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

[ 383, 9619, 287, 318, 689, 69, 748, 581, 3197, 16, 359, 225, 69, 2084, 292, 14285, 905, 339, 1556, 15527, 1128, 291, 225, 88, 76, 73, 1240, 16, 4831, 17, 10610, 1504, 292, 9619, 287, 16, 11962, 16, 225, 88, 76, 73, 748, 526, 2797, 8626, 1060, 724, 19286, 6595, 292, 225, 88, 76, 73, 26740, 2446, 16, 225, 88, 76, 73, 15891, 292, 225, 88, 76, 73, 3194, 2913, 225, 88, 76, 73, 1104, 1323, 16739, 291, 42271, 16, 1712, 359, 225, 88, 76, 73, 8976, 292, 9619, 287, 18, 203, 203, 3591, 568, 203, 5174, 292, 5066, 290, 36935, 581, 225, 88, 76, 73, 1644, 10724, 203, 203, 1987, 203, 203, 22324, 5066, 2, 0, 521, 9784, 43214, 33580, 318, 225, 88, 76, 73, 1283, 77, 10566, 76, 396, 5548, 28876, 873, 543, 7169, 1740, 225, 88, 76, 73, 25566, 10566, 76, 8946, 2748, 18, 409, 1361, 745, 1263, 33580, 292, 225, 88, 76, 73, 27014, 3126, 318, 225, 88, 76, 73, 25169, 321, 10566, 76, 18, 5794, 292, 803, 3226, 292, 2695, 573, 385, 3055, 388, 34630, 431, 225, 88, 76, 73, 43214, 19789, 308, 18, 203, 203, 19021, 27014, 18027, 225, 88, 76, 73, 25566, 10566, 76, 8946, 2748, 388, 1283, 77, 11237, 10566, 76, 8946, 2748, 318, 543, 720, 715, 225, 69, 33580, 18, 27014, 3126, 1425, 442, 10566, 76, 396, 49243, 1184, 13, 286, 339, 225, 69, 2354, 25566, 18, 409, 15994, 2695, 22824, 2116, 1878, 4503, 290, 4730, 225, 88, 76, 73, 4607, 2824, 11353, 431, 225, 88, 76, 73, 16198, 292, 225, 88, 76, 73, 43214, 9214, 396, 88, 76, 73, 5841, 19789, 308, 292, 27014, 18027, 13, 290, 225, 88, 76, 73, 2824, 292, 1952, 609, 16755, 423, 609, 23528, 1315, 48355, 290, 7886, 18, 203, 203, 1759, 69, 438, 28846, 396, 19919, 566, 292, 11232, 13, 203, 203, 43, 12022, 10566, 76, 8946, 2748, 225, 203, 521, 9784, 43214, 33580, 318, 225, 88, 76, 73, 1283, 77, 10566, 76, 396, 5548, 28876, 873, 543, 7169, 1740, 225, 88, 76, 73, 25566, 10566, 76, 8946, 2748, 18, 409, 27014, 3126, 502, 449, 2672, 442, 359, 519, 689, 49243, 1184, 6, 517, 359, 519, 33619, 290, 1474, 689, 75, 12022, 2995, 3796, 388, 3997, 18, 601, 385, 1740, 1283, 77, 10566, 76, 1535, 25566, 32489, 695, 13852, 16, 225, 88, 76, 73, 23165, 290, 2243, 32145, 291, 2219, 1139, 16, 42542, 325, 357, 225, 88, 76, 73, 3525, 292, 225, 88, 76, 73, 32145, 291, 1946, 6643, 16, 819, 573, 357, 385, 1740, 11237, 25566, 10566, 76, 8946, 2748, 16, 388, 25566, 10566, 76, 8946, 2748, 326, 1700, 18, 409, 10566, 76, 504, 2116, 1878, 3109, 8946, 2748, 396, 700, 3769, 28102, 1364, 225, 88, 76, 73, 25566, 10566, 76, 8946, 2748, 318, 449, 225, 69, 1184, 517, 357, 318, 225, 88, 76, 73, 19655, 25566, 326, 27014, 3126, 13, 8553, 698, 10502, 14696, 18, 1558, 9626, 371, 3578, 10811, 18, 409, 27014, 3126, 371, 25646, 423, 1482, 654, 2684, 286, 225, 88, 76, 73, 2695, 1434, 442, 33580, 18, 203, 203, 521, 25566, 10566, 76, 8946, 2748, 385, 15189, 431, 25566, 957, 11879, 6315, 16, 225, 88, 76, 73, 8511, 32145, 292, 225, 88, 76, 73, 27014, 3126, 18, 409, 548, 292, 16987, 385, 1698, 291, 1958, 6163, 290, 3846, 291, 1958, 6788, 18, 409, 10566, 76, 16, 1740, 689, 24100, 448, 8946, 2748, 6, 431, 25566, 957, 11879, 16, 385, 5515, 383, 17930, 387, 347, 8946, 2748, 396, 17386, 292, 2203, 13, 346, 940, 8499, 18, 409, 29442, 7391, 25566, 10566, 76, 8946, 2748, 504, 225, 88, 76, 73, 2016, 292, 1025, 19789, 308, 1027, 225, 88, 76, 73, 8303, 14246, 2693, 504, 225, 88, 76, 73, 2016, 292, 1148, 49719, 1315, 554, 2496, 1517, 431, 25566, 2927, 32118, 18, 203, 203, 46, 368, 6435, 8946, 2748, 225, 203, 46, 368, 6435, 8946, 2748, 318, 225, 69, 43214, 9401, 16, 345, 5272, 383, 225, 88, 76, 73, 3352, 292, 225, 88, 76, 73, 25566, 10566, 76, 8946, 2748, 696, 225, 88, 76, 73, 33580, 290, 225, 88, 76, 73, 19655, 32145, 292, 225, 88, 76, 73, 27014, 3126, 18, 601, 385, 8772, 431, 25566, 16093, 480, 16, 225, 88, 76, 73, 7754, 292, 27014, 18027, 18, 601, 5795, 346, 351, 741, 1524, 1659, 290, 857, 1085, 8821, 283, 1618, 293, 396, 11792, 94, 287, 13, 290, 3500, 346, 225, 69, 2243, 4342, 477, 431, 25566, 3109, 317, 383, 225, 88, 76, 73, 991, 292, 442, 9203, 18, 409, 8821, 369, 12710, 287, 371, 291, 1046, 24994, 9478, 18, 203, 203, 46, 368, 6435, 8946, 2748, 318, 225, 88, 76, 73, 724, 9203, 292, 25566, 16093, 480, 16, 290, 318, 3285, 225, 88, 76, 73, 6312, 12347, 292, 27014, 18027, 18, 40808, 290, 14114, 342, 292, 478, 368, 6435, 8946, 2748, 318, 225, 88, 76, 73, 2218, 25566, 10566, 76, 8946, 2748, 18, 601, 318, 724, 361, 3166, 291, 30109, 5827, 18, 28991, 318, 25566, 16093, 480, 526, 23253, 325, 1866, 10475, 318, 2792, 8715, 11, 290, 670, 318, 225, 88, 76, 73, 3263, 292, 2203, 8904, 5502, 286, 13805, 36655, 296, 16, 357, 318, 2389, 326, 689, 49813, 42083, 661, 3362, 6, 290, 359, 225, 88, 76, 73, 724, 5182, 292, 3225, 48040, 9401, 326, 225, 88, 76, 73, 50233, 18, 601, 318, 225, 69, 39965, 1100, 291, 225, 88, 76, 73, 2980, 290, 4579, 15295, 291, 43214, 312, 12078, 7467, 287, 18, 601, 318, 568, 418, 8547, 291, 225, 88, 76, 73, 43214, 2322, 383, 225, 88, 76, 73, 9697, 22538, 34298, 7742, 290, 1154, 225, 88, 76, 73, 45540, 7742, 18, 203, 203, 38, 23583, 421, 12078, 287, 10255, 261, 203, 203, 58, 16414, 11384, 382, 421, 12078, 287, 318, 225, 88, 76, 73, 1565, 2123, 286, 225, 88, 76, 73, 3303, 1126, 261, 396, 354, 368, 1039, 13, 292, 2484, 431, 11384, 382, 421, 12078, 287, 30063, 18, 1108, 427, 652, 7035, 286, 359, 225, 88, 76, 73, 689, 10431, 286, 225, 88, 76, 73, 11237, 25566, 10566, 76, 8946, 2748, 6, 431, 25566, 957, 11879, 6315, 16, 225, 88, 76, 73, 8511, 43214, 32145, 18, 731, 385, 225, 88, 76 ]

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

[ 345, 225, 88, 76, 73, 23785, 1626, 291, 1635, 318, 34470, 18, 389, 9105, 277, 19645, 9017, 696, 9538, 225, 88, 76, 73, 384, 23720, 383, 1260, 269, 352, 17942, 290, 1148, 269, 352, 17942, 7968, 551, 45746, 18, 16124, 1246, 225, 88, 76, 73, 8728, 290, 6492, 18, 203, 7077, 685, 16, 2489, 383, 1136, 30, 3475, 714, 203, 18143, 39, 1858, 80, 8198, 65, 203, 15805, 16, 442, 504, 479, 292, 18291, 3183, 4131, 696, 225, 88, 76, 73, 4073, 6783, 16, 225, 88, 76, 73, 23266, 45738, 30, 292, 475, 17877, 3229, 225, 88, 76, 73, 7523, 17, 1586, 17, 3676, 909, 3461, 352, 88, 359, 20921, 16, 359, 357, 5156, 551, 3511, 286, 813, 286, 5792, 325, 225, 88, 76, 73, 616, 46877, 2714, 16439, 550, 1629, 292, 225, 88, 76, 73, 909, 18, 203, 7077, 685, 16, 2489, 383, 1136, 30, 2566, 714, 203, 1543, 1381, 339, 225, 69, 6317, 1452, 17, 9802, 290, 408, 371, 225, 88, 76, 73, 4200, 366, 292, 7343, 6, 4525, 453, 11, 1759, 1567, 637, 93, 203, 13997, 24024, 203, 13997, 10512, 203, 6047, 286, 19523, 13626, 203, 6047, 286, 19523, 13626, 203, 6047, 286, 19523, 13626, 203, 48722, 13626, 203, 6070, 31403, 1343, 1901, 203, 7624, 405, 32072, 203, 12749, 702, 32072, 13626, 203, 6047, 286, 32072, 13626, 203, 6047, 286, 32072, 13626, 203, 13997, 24024, 203, 13997, 10512, 1591, 4894, 3803, 8864, 4894, 3803, 203, 6047, 286, 32072, 13626, 203, 48283, 291, 32072, 203, 13997, 24024, 203, 13997, 10512, 1591, 4894, 3803, 8864, 4894, 3803, 203, 9558, 15779, 203, 68, 859, 1784, 12, 10944, 9069, 10633, 2575, 16315, 10633, 20500, 13, 20500, 13, 20500, 20500, 20500, 16, 2313, 5507, 2, 0, 1905, 4040, 16, 14693, 5287, 530, 225, 69, 21322, 5392, 40, 290, 1358, 1285, 16, 314, 714, 2158, 225, 69, 6436, 6994, 346, 225, 88, 76, 73, 9162, 21891, 4648, 18, 1236, 385, 658, 225, 69, 1162, 2754, 2376, 16, 408, 2704, 1060, 4244, 581, 6436, 696, 290, 1027, 314, 20310, 346, 3635, 16, 7049, 371, 527, 286, 2777, 18, 314, 3991, 346, 551, 7776, 3225, 290, 1244, 286, 5505, 5980, 18, 5682, 1980, 318, 1444, 292, 479, 5836, 292, 3635, 345, 715, 1331, 519, 325, 551, 3361, 16, 715, 4818, 326, 530, 286, 3031, 624, 18, 6420, 345, 1102, 203, 2628, 650, 428, 2436, 1113, 1114, 24132, 290, 2745, 691, 314, 703, 664, 286, 2072, 519, 5832, 16, 314, 385, 5766, 4572, 952, 519, 11920, 371, 543, 720, 225, 88, 76, 73, 3163, 2825, 1500, 5832, 16, 519, 2825, 11920, 371, 11158, 47434, 2964, 5, 35963, 35, 13669, 670, 35, 3783, 530, 5942, 1102, 203, 1200, 5832, 318, 4737, 286, 551, 1265, 17, 6172, 290, 424, 3517, 291, 4817, 3635, 314, 813, 18, 314, 424, 12645, 286, 551, 428, 2436, 2047, 290, 2395, 573, 5505, 3635, 314, 813, 357, 286, 3517, 18, 314, 424, 568, 1422, 551, 1201, 279, 2368, 2500, 286, 3433, 530, 3635, 345, 459, 984, 527, 325, 225, 88, 76, 73, 5832, 16, 2838, 12968, 36572, 35, 1009, 670, 318, 1317, 318, 660, 318, 786, 1310, 5388, 2573, 292, 225, 88, 76, 73, 5832, 3340, 18, 203, 10782, 406, 1837, 1060, 1136, 2239, 16, 442, 2765, 530, 1792, 225, 88, 76, 73, 428, 2436, 5832, 524, 292, 225, 88, 76, 73, 2770, 16, 9980, 277, 291, 225, 88, 76, 73, 1449, 696, 3082, 225, 69, 428, 2436, 2047, 16, 48816, 291, 225, 88, 76, 73, 5832, 16, 9770, 225, 88, 76, 73, 5832, 5157, 16, 290, 6524, 225, 88, 76, 73, 3635, 423, 1952, 1670, 2155, 5983, 345, 314, 2421, 286, 3385, 18, 409, 2647, 318, 891, 290, 225, 88, 76, 73, 2825, 1500, 5832, 318, 225, 88, 76, 73, 1819, 1408, 286, 531, 2354, 1628, 18, 203, 4000, 314, 385, 4572, 581, 4243, 15252, 3635, 396, 87, 317, 323, 16, 314, 770, 427, 225, 69, 1162, 3635, 292, 531, 5837, 1103, 7619, 6383, 696, 551, 29866, 643, 543, 4572, 720, 530, 18, 409, 724, 595, 544, 6674, 357, 16, 551, 832, 17, 2996, 17, 765, 34194, 616, 2860, 352, 55, 14112, 351, 4211, 27524, 5, 4530, 352, 55, 14112, 5128, 290, 857, 346, 760, 15771, 16, 616, 2860, 352, 55, 389, 29124, 61, 5128, 388, 616, 2860, 352, 55, 314, 46, 28167, 5128, 290, 442, 504, 4527, 6455, 326, 225, 88, 76, 73, 1172, 1302, 345, 408, 352, 315, 644, 225, 88, 76, 73, 5832, 29455, 291, 18, 203, 988, 959, 225, 88, 76, 73, 36881, 225, 88, 76, 73, 7428, 3053, 326, 225, 88, 76, 73, 2825, 5832, 16, 1364, 225, 88, 76, 73, 29866, 664, 357, 541, 940, 18, 738, 836, 2165, 424, 821, 225, 88, 76, 73, 3635, 16, 290, 225, 88, 76, 73, 286, 375, 424, 352, 88, 623, 286, 359, 2801, 18, 203, 4139, 352, 87, 225, 88, 76, 73, 1444, 26504, 325, 225, 88, 76, 73, 428, 2436, 7061, 4623, 29459, 30, 203, 9073, 398, 3635, 423, 225, 88, 76, 73, 9148, 203, 3001, 292, 398, 3635, 8702, 325, 225, 88, 76, 73, 9148, 30, 3814, 16, 13746, 14368, 16, 5505, 388, 654, 292, 398, 7433, 4089, 16, 371, 18577, 8954, 325, 554, 1709, 286, 787, 1167, 18, 828, 424, 874, 1496, 1907, 352, 3814, 290, 5505, 3635, 18, 1366, 313, 424, 915, 4076, 479, 803, 3635, 291, 554, 1128, 290, 18577, 1582, 2089, 14980, 76, 2014, 423, 654, 292, 398, 9618, 18, 203, 12663, 49182, 5408, 203, 521, 4580, 292, 225, 88, 76, 73, 18221, 9148, 29459, 318, 345, 357, 8718, 313, 1496, 290, 4188, 479, 398, 3635, 16, 786, 2669, 827, 544, 352, 264, 8702, 18, 2864, 9750, 624, 698, 225, 69, 38176, 696, 290, 691, 313, 813, 286, 744, 654, 2684, 313, 424, 13905, 16, 771, 388, 307, 4072, 225, 88, 76, 73, 3635, 2375, 313, 664, 696, 313, 427, 2315, 1945, 5, 203, 4696, 346, 1907, 290, 1201, 203, 37754, 346, 1907, 290, 3719, 2960, 318, 1709, 18, 4121, 313, 352, 315, 2267, 225, 69, 49182, 5408, 313, 715, 3433, 357, 286, 398, 29459, 16, 388, 654, 29459, 6581, 325, 398, 2047, 18, 203, 15782, 405, 4374, 329, 598, 203, 521, 29459, 424, 2801, 339 ]

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

[ 292, 13, 3670, 17, 13648, 6927, 18, 20941, 17, 77, 82, 5683, 955, 359, 5125, 16315, 290, 7245, 16315, 1234, 225, 69, 3907, 1139, 292, 7924, 6927, 16, 290, 603, 355, 7851, 504, 20909, 8682, 1364, 2693, 1188, 18, 20, 18, 603, 355, 7851, 318, 4794, 3055, 291, 279, 18794, 6927, 2296, 18, 203, 203, 58, 355, 49659, 424, 4051, 225, 69, 10305, 292, 3944, 17, 40382, 15272, 16, 517, 424, 568, 42654, 403, 15272, 388, 5683, 3055, 291, 603, 355, 7851, 326, 543, 3255, 5692, 18, 17091, 479, 15902, 396, 11314, 19641, 388, 543, 7169, 17936, 13, 292, 225, 88, 76, 73, 4674, 603, 355, 9112, 371, 3055, 291, 603, 355, 7851, 16, 517, 19641, 424, 568, 8588, 609, 7442, 664, 39281, 16, 16400, 16, 411, 5961, 16, 19858, 16, 316, 1756, 16, 225, 388, 33826, 311, 18, 1783, 19641, 424, 339, 5515, 13326, 16, 388, 754, 225, 69, 13635, 4651, 955, 359, 603, 594, 296, 16, 12792, 10158, 16, 388, 603, 355, 17, 3482, 736, 18, 203, 203, 58, 355, 7851, 4656, 371, 8702, 359, 9647, 2695, 16, 16260, 286, 609, 3414, 16, 290, 225, 88, 76, 73, 1105, 40814, 7898, 318, 2513, 1913, 90, 355, 18, 2060, 10218, 5053, 286, 345, 318, 603, 355, 526, 5979, 3552, 16, 1913, 90, 355, 38732, 18, 203, 203, 28020, 225, 203, 6, 738, 318, 225, 88, 76, 73, 23432, 2107, 1167, 291, 603, 355, 7851, 18, 203, 320, 923, 689, 11167, 16, 1004, 7137, 203, 203, 6, 738, 318, 225, 69, 2204, 1027, 9830, 291, 603, 355, 7851, 18, 203, 1517, 265, 3969, 377, 203, 6363, 265, 9441, 848, 6171, 17999, 689, 33557, 318, 6, 265, 6171, 1424, 265, 3763, 33, 377, 203, 445, 6363, 203, 367, 1517, 265, 203, 203, 47590, 225, 203, 50174, 2478, 385, 5758, 1349, 770, 325, 44290, 5237, 2557, 16, 603, 355, 504, 652, 2603, 282, 286, 798, 5237, 2557, 1315, 1898, 11074, 3724, 396, 88, 76, 73, 4720, 3161, 2517, 873, 42246, 1680, 16112, 16, 1397, 3724, 16, 46447, 16, 5722, 3300, 423, 5722, 26971, 685, 18, 21, 16, 9501, 19, 22, 16, 9501, 19, 49741, 16, 3584, 1813, 3724, 16, 5255, 58, 5102, 16, 1383, 50, 60, 16, 395, 25407, 9501, 16, 12495, 16, 361, 15318, 16, 290, 11841, 4095, 9501, 18, 225, 3728, 16, 603, 355, 318, 13226, 346, 760, 4500, 292, 5500, 34868, 18, 203, 203, 32554, 14089, 292, 603, 355, 371, 1349, 326, 6828, 290, 10735, 18, 203, 203, 4685, 628, 355, 1563, 203, 4685, 628, 355, 318, 225, 69, 15828, 292, 603, 355, 345, 21072, 286, 2147, 225, 88, 76, 73, 1904, 675, 2187, 290, 2734, 1691, 292, 603, 355, 18, 2591, 2134, 292, 225, 88, 76, 73, 15828, 1706, 2387, 17, 77, 82, 11910, 14685, 23233, 1118, 16, 290, 1118, 326, 40871, 1249, 411, 5961, 18, 2160, 628, 355, 504, 225, 88, 76, 73, 1150, 10496, 26881, 359, 603, 355, 396, 29856, 414, 355, 29, 87, 6067, 318, 1013, 5507, 4722, 225, 88, 76, 73, 1150, 10496, 3552, 424, 339, 1013, 346, 1119, 16249, 16, 3851, 660, 371, 5475, 7639, 291, 2840, 292, 2530, 18, 996, 225, 88, 76, 73, 2657, 2134, 292, 2160, 628, 355, 371, 449, 1013, 16, 2160, 628, 355, 318, 11683, 346, 2340, 479, 292, 603, 355, 526, 2134, 18, 203, 203, 521, 2160, 628, 355, 1512, 385, 1698, 291, 2730, 16, 346, 629, 603, 355, 1504, 1592, 4009, 1846, 1118, 292, 225, 88, 76, 73, 864, 17, 7285, 1478, 5584, 277, 3605, 286, 1369, 1317, 40871, 16, 19641, 16, 290, 8290, 346, 2875, 23810, 3987, 18, 225, 409, 1512, 318, 1324, 2597, 290, 709, 3481, 3414, 318, 1349, 325, 26949, 18, 203, 203, 4685, 628, 355, 644, 225, 69, 3141, 13614, 291, 2209, 2730, 16, 5602, 383, 2070, 554, 1444, 17, 2378, 9298, 18, 11605, 2290, 2285, 371, 811, 1750, 16, 1482, 787, 292, 2160, 628, 355, 526, 7975, 18, 203, 203, 521, 2160, 628, 355, 7042, 318, 1349, 291, 279, 30303, 10285, 21287, 19053, 16, 7462, 431, 21322, 607, 290, 629, 543, 10094, 5342, 7403, 16, 1482, 357, 1634, 286, 2096, 357, 325, 225, 69, 2692, 292, 5237, 2557, 18, 203, 203, 3591, 568, 12088, 8242, 225, 88, 76, 73, 2478, 290, 603, 355, 42921, 16, 225, 69, 14422, 1184, 326, 2478, 290, 414, 355, 16, 3179, 431, 453, 11, 41652, 5739, 203, 13304, 2391, 696, 225, 88, 76, 73, 26896, 1133, 2798, 292, 225, 88, 76, 73, 3446, 29935, 290, 2478, 396, 58, 355, 13, 2695, 16249, 203, 5174, 292, 2695, 16249, 203, 40154, 292, 2695, 16249, 203, 603, 355, 520, 1258, 203, 203, 1987, 203, 203, 3257, 2477, 12088, 6286, 203, 17802, 2597, 203, 6123, 11074, 2597, 203, 3111, 3724, 2695, 16249, 203, 32760, 4095, 9501, 2695, 16249, 203, 27331, 4038, 291, 225, 88, 76, 73, 9711, 203, 21799, 17, 32341, 1324, 2597, 203, 40, 3724, 2695, 16249, 203, 9073, 3552, 9179, 2991, 203, 9073, 2597, 25412, 291, 331, 203, 9073, 2695, 16249, 203, 18523, 2216, 291, 225, 88, 76, 73, 9711, 203, 41307, 2695, 16249, 203, 15809, 3724, 2695, 16249, 203, 49, 17223, 3724, 2597, 203, 11405, 58, 5102, 2695, 16249, 203, 3724, 19, 22, 2695, 16249, 203, 30249, 16230, 203, 57, 38130, 2695, 16249, 203, 21161, 203, 22828, 2695, 16249, 203, 21629, 16249, 345, 787, 15209, 47, 203, 9073, 14436, 16249, 203, 41307, 7209, 1750, 9050, 203, 44, 1339, 16249, 203, 9073, 7209, 1750, 9050, 203, 9073, 7209, 1750, 9050, 326, 16400, 203, 9073, 290, 1227, 17, 17613, 2597, 203, 6453, 387, 17, 945, 2597, 203, 3302, 10570, 3812, 2, 0, 61, 518, 6610, 5029, 396, 61, 3724, 37, 13, 318, 225, 69, 2746, 2595, 291, 30726, 9549, 16, 32330, 18, 601, 5066, 291, 225, 88, 76, 73, 1868, 526, 1174, 7053, 18700, 2060, 18, 203, 203, 6355, 225, 203, 61, 518, 6610, 5029, 385, 5141, 291, 4988, 431, 38548, 5485, 16, 225, 69, 2677, 2746, 25842, 18, 1456, 345, 595, 16, 357, 385, 225, 88, 76, 73, 770, 724, 7053, 962, 291, 225, 88, 76, 73, 15832, 10236, 292, 32330, 18, 577, 3724, 37, 7157, 13924, 286, 11521, 326, 3624, 17, 84, 31126, 16, 225, 88, 76, 73, 19125, 326, 17309 ]

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

[ 5843, 292, 225, 88, 76, 73, 3024, 7175, 17952, 6168, 318, 225, 88, 76, 73, 3062, 5549, 325, 3024, 7175, 4254, 346, 225, 88, 76, 73, 4995, 19010, 359, 225, 88, 76, 73, 3313, 292, 2949, 18, 409, 3062, 5549, 568, 2134, 31736, 18699, 290, 45165, 962, 290, 5403, 6965, 21474, 18, 6480, 5843, 292, 225, 88, 76, 73, 17952, 6168, 18014, 318, 225, 69, 17653, 292, 8521, 811, 225, 88, 76, 73, 8541, 12821, 9104, 18, 203, 203, 521, 29247, 1565, 292, 17952, 6168, 385, 5395, 286, 279, 8412, 290, 543, 8945, 1502, 1159, 10668, 2403, 291, 10584, 16, 291, 14640, 346, 16772, 2976, 21218, 16306, 1154, 225, 88, 76, 73, 1361, 1302, 292, 2485, 18, 4143, 857, 16, 225, 88, 76, 73, 1465, 504, 652, 2404, 1040, 602, 1154, 225, 88, 76, 73, 16772, 2976, 21218, 1342, 225, 69, 2182, 290, 9858, 709, 2399, 88, 76, 9018, 291, 4589, 18, 409, 1465, 318, 8192, 286, 5603, 658, 554, 2372, 717, 596, 2029, 225, 88, 76, 73, 1593, 984, 1509, 225, 88, 76, 73, 3024, 7175, 4254, 26922, 17949, 423, 225, 88, 76, 73, 26796, 7713, 286, 225, 88, 76, 73, 8541, 12821, 9104, 18, 409, 1465, 385, 21212, 326, 2855, 16, 1966, 286, 5620, 49155, 2148, 2562, 517, 385, 29247, 291, 2730, 16, 290, 4774, 286, 339, 279, 4230, 1465, 18, 203, 203, 13917, 7175, 17952, 6168, 2286, 203, 203, 38245, 2765, 30, 203, 203, 13917, 7175, 17952, 6168, 2153, 203, 203, 38245, 2765, 30, 203, 203, 13917, 7175, 17952, 6168, 1910, 203, 203, 13917, 7175, 17952, 6168, 4415, 819, 1920, 385, 14226, 1966, 286, 225, 88, 76, 73, 4311, 17, 916, 4707, 18, 203, 203, 38245, 2765, 30, 203, 203, 13270, 9302, 6044, 2664, 203, 1905, 543, 720, 452, 806, 16, 17952, 6168, 3807, 9302, 6044, 2664, 504, 652, 3689, 359, 225, 69, 9690, 1465, 326, 2027, 4941, 1040, 4618, 431, 25423, 454, 8220, 11515, 16, 225, 69, 1928, 17, 7014, 22911, 12, 71, 21508, 23, 859, 393, 59, 19059, 58, 2418, 279, 4230, 2516, 326, 4848, 286, 6338, 290, 6608, 26071, 816, 16, 28825, 290, 6532, 28039, 4063, 326, 519, 1310, 286, 519, 1868, 359, 761, 359, 6784, 724, 17, 5920, 225, 88, 76, 73, 3297, 7975, 292, 1660, 526, 2875, 22184, 18, 1591, 225, 88, 76, 73, 1118, 292, 14278, 290, 5275, 292, 6177, 292, 7647, 9854, 14466, 16, 20432, 290, 1310, 4057, 16, 393, 59, 19059, 58, 2221, 3379, 286, 1508, 11723, 2819, 290, 5770, 291, 225, 69, 2874, 2692, 292, 15371, 16, 28023, 290, 1504, 1310, 2580, 18, 19640, 2141, 1706, 30, 203, 203, 3001, 20627, 325, 21881, 20971, 4101, 4771, 16, 27867, 7819, 7835, 16, 4804, 11072, 15019, 16, 11041, 19416, 16, 34272, 15768, 20803, 12195, 16, 11041, 31354, 30209, 1703, 16, 5081, 81, 2829, 1703, 31921, 16, 5923, 225, 69, 17431, 22624, 14838, 16, 10493, 14838, 16, 43373, 11019, 3227, 16, 49286, 292, 225, 88, 76, 73, 4575, 32481, 290, 389, 569, 3170, 31921, 18, 203, 203, 521, 3062, 954, 7304, 5549, 385, 279, 4230, 1593, 984, 291, 37172, 18, 34698, 16, 4941, 291, 573, 4223, 290, 18890, 7568, 1837, 1128, 325, 225, 88, 76, 73, 1560, 7802, 7199, 292, 4240, 423, 18974, 2409, 286, 9194, 7102, 287, 22280, 18, 409, 984, 13659, 423, 7601, 1535, 3868, 18, 203, 203, 13270, 9302, 6044, 2664, 17952, 6168, 2286, 203, 203, 46396, 8521, 2765, 30, 203, 203, 13270, 9302, 6044, 2664, 17952, 6168, 2153, 203, 203, 46396, 8521, 2765, 30, 203, 203, 13270, 9302, 6044, 2664, 17952, 6168, 1920, 203, 2091, 2209, 1958, 16, 1920, 16, 17952, 6168, 385, 14226, 1966, 286, 225, 88, 76, 73, 4311, 17, 916, 4707, 18, 203, 203, 13270, 9302, 6044, 2664, 17952, 6168, 1910, 203, 42, 32172, 6168, 385, 14226, 1966, 286, 225, 88, 76, 73, 4311, 17, 916, 4707, 18, 203, 203, 13270, 9302, 6044, 2664, 17952, 6168, 2079, 203, 2091, 225, 2355, 2967, 2079, 16, 225, 88, 76, 73, 8220, 3823, 6324, 8521, 703, 339, 30, 203, 203, 3532, 2229, 2086, 203, 203, 4221, 16694, 12259, 644, 7089, 1063, 2229, 2086, 291, 225, 69, 45076, 5713, 4502, 785, 286, 225, 88, 76, 73, 22412, 292, 225, 88, 76, 73, 5706, 1180, 4387, 2446, 291, 23142, 16, 650, 39439, 4426, 47306, 385, 9858, 359, 225, 88, 76, 73, 8846, 292, 225, 88, 76, 73, 5269, 292, 23533, 4254, 18, 1790, 16, 225, 88, 76, 73, 724, 3131, 17952, 6168, 2483, 291, 1063, 2229, 2086, 291, 10201, 18, 17952, 6168, 291, 1063, 2229, 2086, 318, 4176, 31069, 286, 35431, 346, 225, 88, 76, 73, 9292, 2976, 5176, 4178, 18, 203, 203, 5733, 225, 88, 76, 73, 1063, 2229, 2086, 17952, 6168, 16, 8521, 371, 14419, 282, 383, 1063, 2229, 46797, 11041, 23606, 325, 225, 88, 76, 73, 15770, 3703, 325, 225, 88, 76, 73, 2699, 12341, 292, 225, 88, 76, 73, 23179, 292, 14537, 290, 568, 383, 29462, 13858, 291, 225, 88, 76, 73, 23179, 292, 46945, 4404, 18, 557, 2862, 16, 8521, 7089, 12140, 326, 225, 88, 76, 73, 724, 595, 16, 46998, 383, 225, 88, 76, 73, 23120, 11041, 23606, 18, 203, 203, 521, 2651, 292, 1727, 8220, 8521, 6324, 225, 88, 76, 73, 1830, 290, 961, 1227, 326, 9571, 2483, 291, 8973, 18, 13832, 17952, 6168, 8973, 2765, 225, 88, 76, 73, 6889, 12403, 225, 290, 14012, 807, 1913, 4168, 12259, 2765, 225, 88, 76, 73, 11139, 22891, 34346, 225, 290, 225, 88, 76, 73, 11139, 22891, 45424, 225, 290, 15717, 203, 47852, 17952, 6168, 8694, 9858, 225, 88, 76, 73, 10874, 300, 12683, 292, 225, 88, 76, 73, 37554, 292, 3296, 4426, 4365, 18, 32622, 12259, 2765, 225, 88, 76, 73, 6889, 12403, 225, 290, 225, 88, 76, 73, 332, 24812, 3048, 34346, 1913, 203, 203, 47852, 17952, 6168, 5969, 2765, 225, 88, 76, 73, 6889, 12403, 1913, 393, 40764, 8220, 290, 6532, 8630, 8521, 643, 641, 292, 225, 88, 76, 73, 8499, 573, 2765, 48711, 292, 225, 88, 76, 73, 10874, 300, 12683, 292, 225, 88, 76, 73, 1727, 6532, 8630, 18, 2630, 4230, 17952, 6168, 18, 603, 376, 1067, 2765, 225, 88, 76, 73, 6532, 8630, 2003, 2913, 16529, 16, 203, 203, 47852, 17952, 6168 ]

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

[ 409, 26193, 292, 3260, 11377, 25372, 16, 4061, 352, 87, 30989, 16, 1294, 18570, 292, 1195, 43880, 16, 290, 430, 18, 34841, 4490, 352, 87, 409, 2433, 354, 8547, 10022, 18, 430, 18, 34841, 4490, 352, 87, 13766, 10812, 19687, 643, 551, 13020, 16, 290, 314, 18017, 624, 326, 1579, 29583, 290, 1895, 81, 2224, 18, 314, 1919, 352, 88, 1015, 803, 32987, 30, 314, 7035, 286, 624, 359, 616, 81, 15002, 6737, 2929, 1076, 409, 6737, 4687, 286, 33113, 16, 4885, 16, 12267, 1528, 1584, 225, 88, 76, 73, 3942, 292, 10169, 969, 383, 225, 88, 76, 73, 2410, 292, 225, 88, 76, 73, 25096, 3503, 18, 9151, 2576, 7331, 18, 203, 10904, 30, 689, 20485, 5064, 6, 431, 14652, 1540, 3917, 1630, 203, 7322, 1124, 88, 76, 16, 2987, 431, 13391, 17197, 999, 1025, 5032, 6023, 203, 5548, 3179, 291, 1946, 10266, 16, 3917, 1630, 352, 87, 2630, 4738, 26172, 1060, 225, 88, 76, 73, 4087, 290, 33620, 11520, 5524, 292, 5790, 5064, 4518, 306, 412, 290, 633, 2405, 1201, 18, 409, 1806, 2569, 443, 754, 798, 34197, 291, 225, 88, 76, 73, 4518, 306, 412, 1201, 16, 745, 4835, 431, 48196, 16, 325, 225, 88, 76, 73, 3243, 286, 2792, 1246, 290, 1852, 90, 1505, 18, 1979, 225, 69, 3174, 894, 16, 1912, 479, 225, 88, 76, 73, 4190, 371, 4974, 290, 894, 286, 7587, 16, 3917, 1630, 44685, 225, 69, 26497, 1806, 18, 996, 313, 427, 5171, 430, 692, 2192, 290, 46955, 290, 371, 7416, 1675, 326, 543, 3917, 1630, 16, 5790, 5064, 459, 12309, 313, 18, 828, 568, 459, 339, 9452, 691, 313, 371, 225, 69, 10100, 45289, 4881, 290, 371, 10398, 581, 633, 12697, 18, 9151, 2576, 7331, 18, 203, 10904, 30, 689, 22789, 10461, 73, 6, 431, 4426, 44096, 203, 7077, 1583, 88, 76, 16, 2987, 431, 13391, 17197, 999, 384, 5032, 6023, 203, 5548, 3179, 291, 31224, 16, 9312, 10461, 73, 318, 917, 291, 225, 88, 76, 73, 7613, 12042, 1504, 292, 378, 597, 80, 1534, 291, 1946, 4271, 18, 409, 7913, 8626, 1060, 1560, 4190, 290, 225, 88, 76, 73, 906, 700, 1214, 4507, 8889, 624, 18, 409, 39823, 2449, 318, 225, 69, 761, 17, 49363, 1840, 37631, 596, 318, 291, 1246, 346, 225, 88, 76, 73, 2838, 43014, 702, 17556, 3813, 18, 43014, 702, 291, 2410, 318, 291, 1246, 346, 225, 88, 76, 73, 4449, 11835, 2882, 338, 281, 425, 596, 7465, 633, 6781, 517, 504, 786, 37427, 16467, 18, 30209, 1021, 14184, 16, 43014, 702, 352, 87, 14757, 290, 225, 69, 19506, 37468, 16, 318, 4974, 1846, 325, 290, 4515, 225, 69, 25613, 2449, 1689, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 4738, 18, 9151, 2576, 7331, 18, 203, 6, 50, 422, 593, 1323, 19432, 6, 4931, 431, 24359, 203, 7077, 1148, 88, 76, 16, 2987, 431, 24359, 17197, 999, 848, 5032, 6023, 203, 37, 30694, 593, 1323, 19432, 27718, 352, 87, 16654, 2693, 1380, 427, 3682, 530, 1545, 225, 88, 76, 73, 46284, 292, 225, 88, 76, 73, 8341, 16, 573, 1882, 225, 49932, 383, 530, 541, 2823, 314, 43229, 3583, 670, 2843, 530, 18, 1911, 8341, 504, 2498, 530, 359, 940, 431, 6683, 1364, 314, 987, 22493, 881, 476, 378, 15813, 352, 87, 409, 3260, 351, 812, 18, 738, 318, 449, 286, 1335, 345, 314, 1919, 352, 88, 1508, 551, 724, 10032, 698, 10100, 45289, 18, 1790, 16, 357, 1427, 530, 9140, 708, 225, 69, 13856, 5313, 882, 1620, 955, 225, 69, 25613, 5835, 291, 225, 88, 76, 73, 3360, 292, 225, 88, 76, 73, 1806, 290, 18386, 314, 644, 3955, 543, 2949, 383, 709, 10206, 18, 1832, 1229, 2809, 346, 225, 88, 76, 73, 8341, 385, 345, 314, 8982, 325, 629, 1398, 670, 4527, 16, 517, 225, 88, 76, 73, 18200, 82, 275, 892, 385, 449, 31299, 524, 326, 530, 359, 314, 3855, 357, 286, 339, 18, 738, 318, 449, 541, 940, 225, 69, 11574, 292, 10100, 45289, 359, 357, 318, 292, 551, 291, 41062, 291, 2576, 10100, 45289, 18, 9151, 2576, 7331, 18, 203, 10904, 30, 689, 23177, 8890, 87, 292, 225, 88, 76, 73, 4368, 292, 13359, 29545, 77, 19374, 6, 431, 37053, 4250, 261, 203, 4644, 1124, 88, 76, 16, 2987, 431, 18781, 999, 685, 5032, 6023, 203, 5548, 3179, 291, 49279, 16, 803, 42337, 643, 3055, 431, 225, 88, 76, 73, 724, 8085, 17, 77, 82, 17, 9108, 1614, 286, 7296, 13359, 29545, 77, 19374, 292, 4409, 18, 37053, 4250, 261, 2154, 2405, 286, 225, 88, 76, 73, 7296, 1154, 633, 1124, 806, 291, 1310, 18, 2325, 42337, 3402, 45966, 2840, 292, 225, 88, 76, 73, 3225, 969, 383, 225, 88, 76, 73, 10701, 3696, 359, 761, 359, 29349, 225, 88, 76, 73, 2141, 292, 225, 88, 76, 73, 10724, 423, 225, 88, 76, 73, 10701, 1201, 352, 87, 5976, 18, 458, 43437, 87, 371, 3055, 541, 345, 313, 424, 1156, 633, 22703, 290, 821, 633, 2792, 17415, 286, 225, 88, 76, 73, 10701, 2735, 18, 2325, 2296, 318, 41673, 16, 29667, 290, 823, 16732, 31, 780, 4917, 225, 88, 76, 73, 3696, 286, 969, 18, 9151, 2576, 7331, 18, 203, 10904, 30, 689, 521, 38673, 6, 431, 17862, 42893, 2822, 3917, 1724, 203, 4644, 832, 88, 76, 16, 2987, 431, 7079, 4825, 18816, 999, 1188, 5032, 6023, 203, 5548, 3179, 291, 20968, 16, 409, 38673, 5795, 346, 225, 88, 76, 73, 5993, 292, 6340, 93, 16, 225, 69, 42903, 665, 423, 1063, 2229, 16, 286, 7661, 32932, 596, 4562, 2542, 7218, 517, 504, 6221, 4793, 633, 326, 633, 1621, 18, 5877, 291, 3994, 16, 458, 36664, 633, 44180, 290, 9877, 1535, 780, 6138, 658, 745, 292, 633, 1621, 286, 950, 18, 731, 568, 9975, 706, 6340, 93, 352, 87, 8310, 346, 633, 1201, 18, 34880, 806, 1708, 16, 6340, 93, 352, 87, 5597, 21742, 23530, 6340, 93, 783, 339, 7661, 32932, 352, 87, 6048, 290, 5455, 524, 286, 10613, 633, 18, 9151, 2576, 7331, 18, 203, 10904, 30, 689, 8897, 4071, 16654, 6, 431, 26252, 8125, 1720, 203, 4644, 377, 334, 16, 2987, 431, 24359, 17197, 999, 384, 5032, 6023, 203, 14594, 32423, 16, 225, 69, 2399, 17, 2996, 5993, 16, 571 ]

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

[ 2616, 383, 832, 30, 2866, 714, 203, 1266, 385, 2212, 5625, 700, 10008, 286, 1422, 955, 225, 69, 864, 395, 2301, 15046, 286, 1928, 11007, 717, 952, 544, 23185, 950, 18, 601, 318, 225, 69, 21220, 650, 544, 225, 2616, 383, 848, 30, 2566, 714, 203, 521, 745, 3067, 11007, 568, 427, 286, 3385, 519, 2955, 292, 36827, 11628, 291, 522, 19, 341, 18823, 291, 1374, 286, 11178, 225, 88, 76, 73, 11652, 18729, 18, 409, 13260, 1822, 423, 554, 352, 87, 12077, 291, 1281, 2332, 291, 1046, 2172, 292, 1382, 18, 828, 874, 1335, 544, 1620, 225, 69, 21220, 650, 544, 27473, 952, 544, 13996, 225, 69, 4316, 4337, 1966, 286, 519, 2955, 286, 787, 345, 4514, 1584, 18, 332, 4514, 225, 69, 30613, 86, 7356, 44344, 478, 700, 664, 313, 703, 6405, 770, 291, 225, 88, 76, 73, 5546, 1598, 359, 313, 715, 3867, 18, 314, 714, 1036, 286, 1026, 39782, 670, 313, 3867, 286, 14183, 517, 423, 225, 69, 5546, 14181, 18, 203, 15871, 203, 2852, 203, 7906, 10453, 6119, 203, 7065, 3436, 16, 2616, 383, 1148, 30, 7298, 714, 203, 18957, 12611, 1230, 16, 314, 1033, 22592, 366, 371, 14893, 519, 13182, 650, 544, 8548, 225, 88, 76, 73, 1150, 9990, 290, 389, 2437, 69, 1565, 18, 1266, 318, 1792, 823, 823, 12933, 290, 26541, 18, 203, 15871, 203, 2852, 203, 43, 267, 16860, 203, 7065, 3436, 16, 2616, 383, 377, 30, 6036, 3242, 203, 1543, 1033, 18, 761, 1209, 325, 3347, 819, 479, 709, 715, 225, 69, 13070, 2004, 38058, 18, 203, 15871, 203, 2852, 203, 43, 267, 16860, 203, 7065, 3436, 16, 2616, 383, 832, 30, 6078, 714, 203, 3804, 2365, 7483, 346, 442, 5437, 3142, 693, 4992, 225, 69, 1889, 1248, 940, 325, 225, 88, 76, 73, 5546, 18, 203, 15871, 203, 2852, 203, 56, 275, 273, 1379, 34236, 847, 203, 7065, 3436, 16, 2616, 383, 832, 30, 4665, 714, 203, 683, 954, 16360, 24295, 700, 72, 285, 31, 203, 4459, 6917, 735, 3298, 35693, 35693, 394, 21541, 715, 14918, 443, 292, 225, 88, 76, 73, 4383, 2764, 32514, 70, 345, 1723, 8353, 30, 203, 550, 3264, 996, 10605, 643, 8703, 16, 339, 3585, 1239, 703, 5111, 3264, 550, 696, 2896, 2935, 5, 203, 1371, 398, 10605, 644, 652, 27886, 314, 2466, 8077, 44492, 17, 14444, 703, 427, 652, 13409, 431, 915, 696, 517, 4084, 2203, 398, 2824, 371, 715, 5113, 292, 7756, 12134, 1482, 225, 88, 76, 73, 745, 7743, 18, 203, 1021, 1021, 3192, 12066, 69, 5, 203, 1647, 225, 69, 4927, 292, 616, 12749, 702, 5215, 12164, 1423, 19808, 3291, 45805, 4366, 13081, 286, 1119, 292, 313, 5, 203, 38, 620, 277, 927, 954, 309, 576, 581, 670, 318, 3543, 3785, 398, 9905, 4767, 18, 203, 25150, 431, 377, 982, 203, 2852, 203, 7906, 10453, 6119, 203, 7065, 3436, 16, 2616, 383, 848, 30, 4309, 714, 203, 2177, 504, 286, 1626, 522, 1565, 286, 47304, 388, 7592, 81, 2417, 18, 203, 15871, 203, 2852, 203, 43, 267, 79, 1479, 203, 7065, 3436, 16, 2616, 383, 848, 30, 7122, 714, 203, 9813, 5409, 28516, 26049, 28564, 318, 225, 69, 7972, 1258, 4669, 13155, 700, 30034, 335, 20412, 1473, 596, 3373, 4342, 6516, 290, 2051, 10705, 77, 2391, 1342, 654, 1374, 423, 2304, 18, 203, 4274, 1013, 519, 2078, 16088, 290, 744, 519, 884, 6133, 650, 531, 17356, 6316, 643, 5588, 291, 478, 15016, 664, 544, 643, 449, 2027, 21032, 627, 6316, 431, 28104, 27864, 814, 1504, 292, 17325, 700, 19, 16902, 2687, 18, 203, 43, 267, 26049, 16, 616, 43, 267, 18238, 861, 5583, 550, 427, 928, 225, 88, 76, 73, 5160, 16, 2027, 21032, 459, 1411, 339, 225, 88, 76, 73, 1150, 1001, 16, 225, 88, 76, 73, 28104, 27864, 1486, 1504, 292, 1623, 663, 69, 19, 6775, 700, 19, 16902, 401, 292, 531, 23914, 424, 1842, 290, 2207, 760, 1657, 325, 225, 88, 76, 73, 6881, 1315, 6826, 46711, 346, 531, 2508, 1621, 517, 383, 225, 88, 76, 73, 991, 408, 459, 10136, 624, 26032, 366, 19, 88, 76, 5833, 18, 203, 25150, 431, 377, 982, 203, 2852, 203, 683, 203, 7065, 3436, 16, 2616, 383, 848, 30, 1791, 714, 203, 40, 356, 847, 203, 988, 371, 2586, 286, 5419, 2925, 698, 398, 9684, 517, 313, 2471, 449, 286, 1973, 2425, 18, 1543, 371, 225, 88, 76, 73, 770, 42085, 395, 694, 79, 3667, 286, 2810, 522, 12561, 7522, 16, 6687, 9423, 596, 16558, 18, 203, 15871, 203, 2852, 203, 56, 275, 273, 1379, 34236, 847, 203, 7065, 3436, 16, 2616, 383, 1148, 30, 2419, 714, 203, 21298, 313, 6449, 941, 595, 2376, 691, 345, 318, 398, 9871, 8724, 18, 203, 1543, 25441, 323, 1934, 286, 26401, 21385, 573, 318, 6979, 18, 203, 1356, 1030, 318, 554, 290, 13646, 696, 528, 424, 3804, 744, 388, 6394, 21385, 18, 601, 715, 14834, 3020, 18, 203, 8252, 41213, 1011, 78, 736, 342, 954, 32722, 35608, 292, 3067, 12267, 12488, 318, 786, 2736, 3497, 291, 225, 88, 76, 73, 1660, 352, 87, 4967, 1159, 631, 17, 10341, 1374, 18, 203, 521, 1374, 19, 19732, 345, 3269, 2420, 286, 4885, 319, 18, 55, 457, 261, 459, 744, 1336, 345, 442, 2431, 300, 4418, 318, 6488, 431, 6900, 388, 431, 9832, 477, 18, 203, 1543, 459, 2415, 4619, 2969, 3190, 696, 408, 395, 291, 225, 88, 76, 73, 3960, 292, 225, 88, 76, 73, 47472, 26436, 16, 2223, 18, 203, 3595, 16, 691, 2030, 5856, 19, 23117, 19, 1102, 313, 1565, 624, 27320, 16, 34315, 7049, 18, 203, 15796, 28516, 72, 22798, 318, 279, 2650, 73, 30186, 423, 2304, 286, 723, 3250, 225, 88, 76, 73, 430, 18, 23260, 7904, 292, 225, 88, 76, 73, 1063, 2107, 1374, 292, 12058, 6964, 3993, 326, 479, 319, 18, 21032, 15345, 18364, 18, 203, 25150, 431, 377, 982, 203, 2852, 203, 38, 17037, 89, 7902, 16414, 203, 7065, 3436, 16, 2616, 383, 1025, 30, 7272, 714, 203, 43, 267, 16860, 16, 203, 45, 5536, 346, 313, 18, 12940, 902, 1381, 991, 442, 19987, 36379, 291, 225, 88, 76, 73, 1150, 836, 544, 4810, 21130, 754, 2271, 17, 72, 36734, 18, 428, 9057, 3695, 39279, 524, 291, 478, 15016, 290, 291, 2027 ]

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

[ 519, 3198, 352, 87, 1621, 18, 40259, 28044, 1723, 345, 3029, 783, 949, 4817, 544, 813, 292, 519, 3198, 352, 87, 1621, 16, 2442, 544, 371, 291, 659, 388, 449, 18, 203, 5753, 359, 1118, 326, 225, 69, 4436, 5441, 318, 41094, 286, 225, 69, 3198, 596, 504, 11734, 1817, 16, 357, 318, 24169, 325, 225, 69, 5441, 596, 504, 225, 88, 76, 73, 1817, 286, 1118, 522, 3198, 596, 318, 4436, 18, 40259, 28044, 1723, 345, 691, 225, 69, 3198, 318, 292, 2184, 290, 504, 786, 4526, 16, 458, 318, 9430, 286, 339, 5350, 431, 522, 3223, 18, 203, 13277, 326, 4436, 14292, 431, 519, 29806, 1959, 318, 225, 69, 3508, 292, 940, 16908, 1133, 6586, 18, 2591, 1335, 345, 357, 318, 770, 1966, 359, 225, 69, 2669, 292, 16135, 286, 14292, 18, 409, 358, 17, 1759, 27010, 11, 77, 1204, 292, 2813, 85, 76, 1335, 345, 955, 1118, 318, 24169, 325, 225, 69, 4449, 982, 286, 522, 3223, 290, 19250, 292, 654, 1398, 16, 290, 286, 1528, 290, 29393, 292, 654, 1398, 16, 517, 357, 318, 449, 225, 69, 8414, 3785, 803, 18, 409, 4152, 8822, 1204, 292, 2813, 85, 76, 1335, 345, 4708, 318, 1966, 286, 3223, 16, 2974, 16, 3198, 290, 4159, 770, 18, 601, 318, 449, 225, 69, 8414, 286, 1118, 19466, 388, 15545, 18, 996, 3029, 388, 1528, 371, 292, 225, 69, 1046, 9214, 16, 357, 318, 1146, 1966, 18, 409, 9034, 2195, 77, 1204, 292, 2813, 85, 76, 1425, 4708, 225, 69, 8414, 24169, 325, 225, 69, 9703, 596, 318, 291, 1817, 286, 522, 4436, 14292, 5334, 458, 703, 339, 9430, 286, 20895, 16, 691, 544, 371, 291, 1817, 18, 1108, 4722, 5021, 357, 286, 225, 88, 76, 73, 3993, 292, 27034, 18, 7082, 225, 69, 982, 783, 20895, 16, 458, 318, 568, 8414, 5483, 286, 1422, 1118, 18, 7985, 544, 744, 4715, 721, 675, 34682, 346, 12690, 18, 9146, 3993, 371, 5033, 26907, 431, 2608, 10373, 18, 203, 1266, 318, 568, 225, 69, 8414, 286, 764, 819, 554, 352, 87, 4839, 16, 3267, 624, 1796, 1518, 290, 3258, 286, 1766, 16863, 18, 996, 458, 9030, 1438, 286, 502, 541, 16, 225, 88, 76, 73, 22036, 500, 1067, 950, 286, 2459, 2734, 388, 3289, 388, 25680, 624, 18, 996, 458, 4774, 286, 16219, 286, 23219, 522, 5810, 16, 225, 88, 76, 73, 22036, 2569, 225, 88, 76, 73, 3046, 2797, 18, 409, 29880, 396, 36448, 339, 2971, 950, 13, 1723, 30, 1392, 37, 3259, 385, 30577, 325, 2047, 292, 16976, 277, 225, 69, 3632, 1535, 780, 3904, 18, 1099, 225, 69, 1873, 16, 780, 16013, 10043, 18, 7710, 12600, 225, 88, 76, 73, 3632, 16, 780, 979, 449, 1422, 633, 1518, 16, 6202, 979, 780, 1424, 633, 9761, 286, 3835, 292, 670, 225, 88, 76, 73, 5301, 2221, 7318, 731, 568, 1723, 30, 1392, 37, 563, 385, 5179, 1509, 522, 836, 650, 458, 385, 3895, 41877, 18, 731, 1882, 527, 286, 225, 69, 761, 290, 458, 1981, 968, 286, 3258, 18, 1605, 458, 1882, 527, 16, 458, 1100, 225, 69, 2460, 283, 21541, 18, 409, 2460, 4938, 823, 41877, 16, 46001, 225, 88, 76, 73, 4732, 18, 409, 563, 2004, 30, 616, 1200, 2460, 318, 359, 41877, 359, 314, 385, 225, 69, 1700, 1027, 2376, 1076, 731, 4477, 1981, 968, 225, 88, 76, 73, 761, 1001, 16, 5162, 522, 12334, 346, 1257, 16, 2404, 357, 291, 522, 5465, 16, 1981, 785, 527, 290, 3269, 225, 88, 76, 73, 1257, 286, 225, 88, 76, 73, 2460, 286, 3258, 18, 23823, 385, 7483, 346, 950, 290, 731, 6227, 401, 950, 522, 25342, 7318, 203, 521, 29880, 352, 87, 396, 36448, 339, 2971, 950, 13, 11849, 677, 928, 30, 1392, 51, 28915, 292, 23823, 16, 459, 408, 339, 20290, 326, 670, 408, 502, 286, 531, 4839, 16935, 731, 928, 30, 1392, 1543, 427, 225, 69, 6533, 326, 1995, 313, 502, 326, 225, 69, 2354, 16564, 18, 203, 264, 1667, 203, 45, 13122, 1866, 3894, 9362, 82, 16, 995, 17, 34226, 86, 358, 17, 49, 27664, 2492, 16, 2103, 18, 384, 16, 283, 18, 1188, 10526, 31, 358, 17, 47, 324, 570, 358, 17, 50108, 1636, 2166, 16, 43055, 2166, 358, 17, 49, 13472, 88, 1286, 16, 2103, 18, 685, 16, 283, 18, 46363, 18, 203, 45, 13122, 16362, 81, 16, 995, 17, 49, 13472, 25667, 16, 2103, 18, 1136, 18, 203, 55, 4158, 85, 16, 2813, 85, 76, 358, 17, 14464, 37559, 16, 2103, 18, 384, 16, 12357, 18, 48365, 1180, 3819, 18, 203, 10616, 203, 44304, 290, 36710, 203, 11663, 203, 8678, 20978, 203, 6314, 2813, 85, 76, 346, 995, 17, 44, 512, 353, 999, 4898, 16997, 203, 1553, 30, 32721, 1899, 353, 995, 17, 44, 512, 353, 203, 8678, 17766, 203, 24190, 16997, 203, 1553, 30, 8298, 3186, 7337, 2916, 203, 1989, 16997, 318, 658, 203, 1553, 30, 8298, 3186, 7337, 2916, 203, 35895, 3227, 11924, 286, 225, 88, 76, 73, 35723, 666, 203, 1553, 30, 8298, 3186, 7337, 2916, 203, 3187, 746, 1216, 203, 4459, 1709, 836, 286, 2, 0, 287, 471, 34083, 203, 6520, 377, 292, 225, 88, 76, 73, 11014, 995, 2492, 46598, 203, 14150, 264, 30, 4860, 19745, 19, 27906, 575, 203, 5270, 12168, 40692, 30, 203, 40, 1239, 471, 12168, 1411, 2004, 633, 724, 3240, 1843, 26179, 703, 2731, 225, 88, 76, 73, 2654, 292, 633, 5643, 18, 1218, 857, 780, 10104, 352, 88, 3855, 286, 1620, 225, 88, 76, 73, 724, 982, 286, 744, 1976, 346, 28055, 2459, 18, 15238, 82, 4793, 16, 41124, 290, 2970, 325, 225, 88, 76, 73, 34639, 32559, 292, 225, 69, 22177, 20920, 1598, 17, 22817, 423, 5803, 16, 225, 88, 76, 73, 770, 982, 780, 424, 2410, 286, 318, 633, 47689, 631, 4372, 18, 203, 37, 33901, 2126, 524, 3180, 16, 458, 318, 715, 359, 3976, 359, 389, 1239, 471, 18, 1461, 4757, 431, 522, 717, 290, 9029, 286, 9320, 16, 225, 88, 76, 73, 1172, 909, 458, 633, 5751, 16, 3780, 383, 225, 88, 76, 73, 45072, 23860, 18, 203, 6, 59, 277, 2670, 780, 32569, 5365, 290, 633, 10044, 1100, 633, 12502, 526, 1032, 18, 1236, 30712, 31245, 720, 780, 5984, 16, 517, 6763 ]

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

[ 42118, 587, 203, 203, 29898, 27498, 3849, 203, 203, 6923, 886, 203, 203, 42118, 587, 203, 203, 29898, 18195, 7819, 3849, 292, 6072, 5452, 1180, 8876, 203, 521, 7986, 18195, 7819, 3849, 292, 6072, 385, 2267, 431, 23814, 30285, 43320, 249, 1872, 26, 292, 2209, 1814, 16, 5452, 18, 225, 601, 385, 30621, 290, 7209, 698, 225, 88, 76, 73, 7738, 292, 20741, 10689, 431, 23814, 30285, 43320, 249, 44832, 292, 1589, 4600, 16, 2489, 18, 203, 203, 6923, 886, 203, 203, 42118, 587, 203, 203, 29898, 21655, 3849, 292, 6072, 8169, 1180, 12891, 203, 203, 29957, 325, 1872, 2698, 8169, 286, 6500, 225, 88, 76, 73, 21655, 8630, 3849, 292, 225, 88, 76, 73, 556, 6698, 1737, 225, 88, 76, 73, 15918, 292, 225, 88, 76, 73, 8670, 4970, 16, 225, 88, 76, 73, 7986, 21655, 3849, 292, 6072, 9069, 11013, 15795, 225, 69, 7134, 18, 225, 601, 385, 2123, 1444, 23615, 431, 3296, 26325, 49105, 375, 77, 82, 291, 279, 3605, 286, 3881, 225, 88, 76, 73, 1420, 292, 225, 88, 76, 73, 556, 6698, 16, 517, 385, 307, 18464, 698, 225, 88, 76, 73, 631, 7986, 6639, 3849, 325, 1814, 2209, 5452, 431, 3296, 23660, 23125, 290, 14070, 225, 88, 76, 73, 21655, 8630, 3849, 292, 225, 88, 76, 73, 29024, 38, 292, 225, 88, 76, 73, 5316, 11228, 31220, 225, 409, 7986, 21655, 3849, 644, 709, 884, 6924, 41849, 286, 1627, 6924, 18, 225, 1783, 6924, 16, 3851, 915, 29224, 286, 339, 291, 1695, 346, 225, 88, 76, 73, 6924, 292, 225, 88, 76, 73, 29024, 38, 16, 4458, 4842, 291, 225, 88, 76, 73, 1374, 292, 44989, 292, 225, 88, 76, 73, 29024, 38, 290, 9414, 325, 225, 88, 76, 73, 11410, 292, 673, 5452, 17941, 18, 203, 203, 6923, 886, 203, 203, 49168, 8194, 2186, 203, 203, 29898, 9375, 326, 5425, 14001, 290, 6131, 396, 42, 3864, 16659, 13, 8338, 1180, 12891, 203, 5548, 2267, 431, 38534, 17026, 16208, 2815, 291, 8338, 423, 225, 88, 76, 73, 49546, 292, 556, 6698, 1011, 17, 16275, 22090, 1737, 225, 88, 76, 73, 15918, 292, 225, 88, 76, 73, 8670, 4970, 290, 857, 8172, 9911, 279, 4885, 1310, 291, 8169, 16, 225, 88, 76, 73, 7986, 9375, 326, 5425, 14001, 290, 6131, 16, 1712, 359, 393, 3864, 16659, 16, 644, 709, 884, 6924, 41849, 286, 1627, 6924, 18, 1783, 6924, 371, 4842, 2130, 346, 519, 9163, 6133, 18, 1783, 6924, 16, 3851, 915, 29224, 286, 339, 291, 1695, 346, 225, 88, 76, 73, 6924, 292, 225, 88, 76, 73, 393, 14121, 290, 29024, 38, 1364, 393, 3864, 16659, 526, 4988, 20822, 346, 225, 88, 76, 73, 12917, 1310, 16, 4458, 4842, 291, 225, 88, 76, 73, 1374, 292, 44989, 292, 225, 88, 76, 73, 393, 14121, 290, 9414, 325, 225, 88, 76, 73, 11410, 292, 673, 20822, 17941, 18, 203, 203, 6923, 886, 203, 203, 42118, 587, 203, 203, 3591, 568, 203, 29898, 47465, 3849, 396, 30962, 13, 203, 47, 9669, 2417, 14700, 203, 29898, 6639, 3849, 396, 30962, 13, 203, 42, 3864, 16659, 203, 15603, 290, 3446, 19024, 292, 225, 88, 76, 73, 7738, 292, 12936, 292, 225, 88, 76, 73, 5316, 11228, 203, 15603, 292, 225, 88, 76, 73, 7738, 292, 20741, 10689, 292, 6072, 203, 15603, 292, 225, 88, 76, 73, 7738, 326, 14608, 16101, 5289, 292, 6072, 203, 44378, 463, 6924, 292, 225, 88, 76, 73, 5316, 11228, 203, 15603, 290, 17129, 292, 225, 88, 76, 73, 5316, 11228, 203, 38638, 578, 7240, 292, 225, 88, 76, 73, 5316, 11228, 203, 15603, 290, 17129, 292, 225, 88, 76, 73, 8670, 4970, 203, 203, 3257, 2477, 203, 16679, 1622, 292, 225, 88, 76, 73, 7986, 47465, 3849, 292, 225, 88, 76, 73, 5316, 11228, 225, 203, 16679, 1622, 292, 225, 88, 76, 73, 7986, 6639, 3849, 292, 225, 88, 76, 73, 5316, 11228, 225, 203, 16679, 1622, 292, 225, 88, 76, 73, 7986, 27498, 3849, 292, 6072, 225, 203, 16679, 1622, 292, 225, 88, 76, 73, 11432, 14263, 3849, 292, 225, 88, 76, 73, 5316, 11228, 225, 203, 16679, 1622, 292, 225, 88, 76, 73, 4138, 36297, 292, 5510, 14977, 292, 225, 88, 76, 73, 3296, 292, 225, 88, 76, 73, 5316, 11228, 225, 203, 16679, 1622, 292, 225, 88, 76, 73, 2361, 44072, 3849, 292, 6072, 203, 203, 1987, 203, 203, 31492, 366, 16, 17129, 16, 290, 18095, 292, 6072, 203, 18773, 6924, 203, 19207, 6924, 290, 17129, 292, 6072, 2, 0, 36485, 6632, 10022, 396, 3640, 2116, 2382, 7884, 291, 2209, 3341, 16, 14836, 13, 318, 279, 2764, 225, 1968, 3139, 42302, 2946, 18, 203, 203, 10449, 203, 829, 1589, 2451, 16, 10022, 1882, 754, 1383, 17, 13288, 431, 4499, 2701, 6537, 286, 6319, 225, 69, 797, 17, 2996, 2601, 325, 225, 88, 76, 73, 2107, 7915, 42302, 4928, 326, 225, 88, 76, 73, 2451, 1180, 1758, 290, 2286, 1180, 916, 6806, 18, 10923, 286, 442, 10022, 4938, 291, 225, 88, 76, 73, 2616, 2764, 28581, 6263, 2243, 16, 6627, 1025, 1180, 1537, 286, 4584, 22886, 18, 557, 2451, 458, 1825, 225, 88, 76, 73, 6721, 431, 20293, 3906, 18129, 1473, 1136, 1180, 28, 18, 203, 203, 26387, 290, 16342, 15494, 203, 203, 10449, 16120, 203, 203, 6123, 11321, 16120, 30, 685, 396, 21, 3525, 13, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 36485, 6632, 10022, 383, 13109, 82, 42302, 18, 1633, 203, 36485, 6632, 10022, 383, 47795, 13339, 262, 18, 1724, 30, 7915, 42302, 15120, 290, 7266, 2744, 21958, 203, 203, 9327, 3139, 42302, 1865, 203, 6004, 717, 203, 17308, 4686, 203, 5013, 423, 1063, 8221, 4010, 203, 17869, 423, 14836, 2, 0, 3805, 402, 4368, 318, 225, 69, 1868, 1577, 573, 318, 225, 69, 14054, 3299, 14, 4842, 1848, 291, 11800, 1665, 26876, 16, 24231, 16, 3994, 18, 409, 9603, 290, 2711, 371, 4842, 16, 14054, 3299, 16, 325, 225, 88, 76, 73, 8506, 292, 9715, 15195, 290, 14823, 292, 1403, 6947, 1418, 291, 3994, 18, 203, 203, 521, 1637, 385, 225, 69, 1577, 292, 1716, 326, 225, 88, 76, 73, 25917, 292, 640, 28498, 526, 19432, 16, 573, 2154, 16158, 15803, 18, 1979, 225, 88, 76, 73, 26271, 1777, 292, 225 ]

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