patrykbart/codeparrot-clean-no-comments-starencoder-small

input_ids listlengths 512 512	attention_mask listlengths 512 512	depths listlengths 512 512	sibling_idxs listlengths 512 512
[ 1070, 358, 1220, 1229, 32, 22952, 1188, 30032, 1572, 30, 42631, 8104, 203, 1070, 358, 1220, 1229, 32, 22952, 5971, 1188, 42631, 5971, 203, 1070, 358, 1220, 1229, 32, 24532, 1188, 559, 85, 203, 1070, 358, 1220, 1229, 32, 22957, 1188, 18513, 203, 1070, 19486, 32, 44061, 1188, 447, 782, 1110, 30, 46157, 44061, 30, 10473, 44061, 203, 1070, 19486, 32, 14813, 32, 4709, 1188, 5069, 203, 1070, 19486, 32, 4711, 1188, 595, 4711, 203, 1070, 15635, 32, 26084, 1188, 5889, 10239, 30, 45318, 1304, 81, 21980, 69, 30, 45318, 1304, 81, 9718, 521, 81, 10393, 203, 1070, 931, 30624, 1188, 484, 6421, 203, 1070, 2322, 1188, 2664, 203, 823, 8159, 22952, 26, 22952, 5971, 30, 559, 85, 711, 203, 202, 20718, 280, 1524, 357, 202, 46, 4458, 2747, 347, 34, 30, 34, 20, 1334, 347, 41, 36, 34, 30, 39, 41, 40, 20, 1780, 347, 19016, 13585, 5736, 347, 18069, 2023, 7251, 20, 848, 355, 202, 46, 3854, 636, 347, 878, 20, 2747, 347, 35, 39, 37, 30, 38, 34, 20, 1334, 347, 37, 38, 34, 30, 37, 34, 34, 20, 2357, 347, 14377, 45, 36, 36, 20, 1681, 355, 202, 46, 3854, 1914, 347, 668, 20, 2908, 347, 720, 1501, 20, 2747, 347, 39, 37, 30, 37, 38, 34, 20, 1334, 347, 38, 38, 34, 30, 35, 42, 34, 20, 39824, 2101, 347, 2245, 1484, 31369, 20, 848, 603, 202, 46, 5954, 827, 347, 652, 720, 20, 1681, 355, 202, 377, 3854, 48, 355, 202, 46, 3854, 636, 347, 1163, 20, 2747, 347, 39, 37, 30, 37, 38, 34, 20, 1288, 2731, 347, 35, 20, 1334, 347, 38, 38, 34, 30, 35, 42, 34, 20, 13532, 347, 35, 20, 39824, 2101, 347, 2245, 1484, 31369, 20, 1681, 355, 202, 46, 87, 44061, 26513, 1110, 347, 20718, 81, 1536, 33, 11430, 33, 1640, 81, 1092, 32, 1645, 20, 2747, 347, 38, 34, 30, 36, 36, 39, 20, 1288, 2731, 347, 34, 20, 1334, 347, 35, 39, 30, 35, 40, 20, 13532, 347, 35, 20, 743, 833, 5096, 347, 267, 20, 1681, 355, 202, 46, 3854, 636, 347, 1581, 3531, 371, 407, 20, 2747, 347, 39, 39, 30, 36, 36, 39, 20, 1334, 347, 43, 39, 30, 37, 34, 20, 2357, 347, 14377, 45, 35, 42, 20, 1681, 355, 202, 46, 3854, 636, 347, 21880, 20, 26513, 1110, 347, 20718, 81, 1536, 33, 21880, 32, 1645, 20, 2747, 347, 38, 34, 30, 39, 34, 20, 1288, 2731, 347, 35, 34, 20, 1334, 347, 35, 35, 34, 30, 35, 41, 38, 20, 743, 833, 5096, 347, 267, 20, 1681, 355, 202, 46, 3854, 636, 347, 899, 20, 26513, 8212, 347, 20718, 81, 1536, 33, 899, 32, 1645, 30, 20718, 81, 1536, 33, 100, 46713, 32, 1645, 20, 2747, 347, 39, 34, 34, 30, 39, 34, 20, 1288, 2731, 347, 35, 34, 20, 1334, 347, 35, 39, 38, 30, 39, 34, 34, 20, 743, 833, 5096, 347, 267, 20, 1681, 355, 202, 46, 3854, 636, 347, 6461, 1746, 20, 26513, 1110, 347, 20718, 81, 1536, 33, 6461, 1746, 32, 1645, 20, 2747, 11150, 35 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]	[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 10, 10, 1, 2, 1, 1, 2, 2, 3, 2, 10, 10, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 32625, 32, 4266, 1188, 32625, 858, 203, 1070, 32625, 32, 4266, 1188, 3395, 1191, 203, 465, 42353, 203, 465, 42353, 32, 10337, 619, 594, 2356, 203, 465, 42353, 32, 858, 81, 1040, 203, 1070, 337, 2251, 32, 1262, 1188, 18406, 90, 6112, 203, 1070, 337, 2251, 32, 10119, 1188, 2260, 3209, 203, 823, 358, 764, 90, 6112, 1061, 41058, 1006, 26, 8938, 32, 858, 81, 1040, 32, 33534, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 2599, 922, 23741, 346, 284, 630, 32, 19050, 280, 42353, 32, 3855, 32, 2978, 7483, 953, 26, 34, 27, 284, 630, 32, 3534, 280, 225, 38, 284, 630, 32, 96, 280, 225, 40, 42, 284, 630, 32, 95, 280, 225, 35, 36, 37, 284, 630, 32, 19050, 30, 319, 19050, 101, 280, 42353, 32, 3855, 32, 2998, 26, 784, 32, 19050, 30, 225, 39, 27, 284, 630, 32, 106, 280, 42353, 32, 3855, 32, 10586, 26, 19050, 101, 77, 34, 614, 308, 784, 32, 96, 30, 630, 32, 3534, 490, 284, 630, 32, 107, 280, 42353, 32, 3855, 32, 10586, 26, 19050, 101, 77, 35, 614, 308, 784, 32, 95, 30, 630, 32, 3534, 490, 284, 312, 280, 42353, 32, 3855, 32, 10586, 26, 19050, 101, 77, 36, 614, 308, 784, 32, 96, 33702, 284, 323, 280, 42353, 32, 3855, 32, 10586, 26, 19050, 101, 77, 37, 614, 308, 784, 32, 95, 33702, 284, 630, 32, 83, 280, 312, 517, 594, 2356, 32, 1036, 26, 83, 27, 284, 630, 32, 84, 280, 323, 517, 594, 2356, 32, 1036, 26, 84, 27, 334, 477, 5609, 1191, 32, 9281, 81, 5138, 26, 397, 5436, 26, 616, 894, 1732, 81, 426, 1057, 45581, 31, 1347, 31, 95, 418, 370, 616, 456, 277, 81, 2816, 47, 1815, 30, 616, 34182, 47, 35, 32, 34, 30, 616, 8267, 81, 22400, 47, 35, 34, 30, 616, 9807, 81, 731, 47, 35, 30, 616, 30225, 81, 83, 47, 34, 32, 42, 30, 616, 30225, 81, 84, 47, 34, 32, 43, 616, 2588, 397, 5436, 26, 616, 894, 1732, 81, 426, 1057, 45581, 31, 4363, 31, 95, 418, 370, 616, 456, 277, 81, 2816, 47, 1815, 30, 616, 34182, 47, 35, 32, 39, 30, 616, 8267, 81, 22400, 47, 35, 34, 30, 616, 9807, 81, 731, 47, 35, 30, 616, 30225, 81, 83, 47, 34, 32, 42, 30, 616, 30225, 81, 84, 47, 34, 32, 43, 616, 2588, 397, 5436, 26, 616, 894, 1732, 81, 426, 1057, 4079, 31, 1347, 31, 95, 418, 370, 616, 456, 277, 81, 2816, 47, 2700, 30, 616, 34182, 47, 35, 32, 34, 30, 616, 8267, 81, 22400, 47, 35, 34, 30, 616, 9807, 81, 731, 47, 35, 30, 616, 30225, 81, 83, 47, 34, 32, 42, 30, 616, 30225, 81, 84, 47, 34, 32, 43, 616, 2588, 397, 5436, 26, 616, 894, 1732, 81, 426, 1057, 4079, 31, 4363, 31, 95, 418, 370, 616, 456, 277, 81, 2816, 47, 2700, 30, 616, 34182, 47, 35, 32, 39, 30, 616, 8267, 81, 22400, 47, 35, 34, 30, 616, 9807, 81, 731, 47, 35, 30, 616, 30225, 81 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 5, 4, 5, 5, 5, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 8, 7, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 7, 4, 4, 8, 9, 7, 7, 9, 9, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 10, 10, 9, 10, 9, 8, 11, 10, 11, 9, 9, 10, 11, 9, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 10, 10, 9, 10, 9, 8, 11, 10, 11, 9, 9, 10, 11, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 9, 10, 9, 8, 11, 10, 11, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 9, 10, 9, 8, 11, 10, 11, 9, 4, 4, 7, 8, 6, 6, 7, 7, 10, 9, 10, 9, 10, 9, 4, 4, 7, 8, 6, 6, 7, 7, 10, 9, 10, 9, 10, 9, 2, 2, 7, 7, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 9, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 6, 6, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 9, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 6, 6, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 9, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 6, 6, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 9, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10 ]	[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 2, 1, 1, 2, 0, 4, 4, 1, 2, 2, 2, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 3, 3, 3, 2, 3, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 3, 3, 3, 2, 3, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 3, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 3, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 1, 0, 0, 13, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 1, 0, 0, 13, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 1, 0, 0, 13, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 0 ]
[ 1070, 309, 568, 4430, 93, 32, 751, 7983, 1188, 1245, 81, 944, 45, 1245, 81, 944, 4064, 426, 15683, 3555, 1245, 81, 944, 203, 1070, 309, 568, 4430, 93, 32, 510, 843, 13110, 1188, 9748, 959, 203, 1070, 309, 568, 4430, 93, 32, 1744, 32, 4156, 32, 15210, 81, 7982, 81, 853, 1188, 21620, 9504, 882, 203, 465, 2322, 203, 589, 5683, 26, 1744, 30, 616, 2266, 81, 2592, 30, 616, 22587, 81, 6057, 30, 616, 1929, 81, 4820, 280, 225, 36, 30, 616, 1929, 81, 21608, 280, 225, 35, 30, 616, 1360, 3673, 280, 313, 1523, 91, 392, 616, 1769, 81, 6299, 280, 225, 38, 30, 616, 1769, 81, 17915, 280, 225, 35, 34, 34, 30, 616, 9124, 280, 1665, 30, 616, 38845, 81, 5905, 81, 1338, 280, 1665, 30, 616, 2787, 81, 19113, 81, 3153, 280, 1665, 711, 284, 12889, 280, 3118, 1114, 5478, 284, 617, 6507, 81, 2067, 280, 622, 81, 6507, 81, 2067, 26, 5478, 27, 284, 9124, 280, 629, 26, 500, 32, 305, 1911, 26, 36, 547, 4434, 463, 6949, 1425, 225, 35, 40, 27, 415, 9124, 438, 1665, 813, 9124, 284, 10990, 81, 1160, 280, 617, 6507, 81, 2067, 32, 3239, 26, 1744, 1114, 6507, 30, 9111, 2266, 81, 2592, 30, 9111, 12889, 32, 92, 2304, 32, 5954, 32, 452, 81, 6507, 81, 668, 81, 800, 26, 28440, 81, 6057, 471, 9111, 1929, 81, 4820, 30, 9111, 1929, 81, 21608, 30, 9111, 1360, 3673, 30, 9111, 1769, 81, 6299, 30, 9111, 1769, 81, 17915, 30, 9111, 9124, 30, 9111, 1156, 371, 81, 30199, 81, 5905, 81, 1338, 26, 5478, 30, 38845, 81, 5905, 81, 1338, 471, 9111, 12889, 32, 92, 2304, 32, 5954, 32, 452, 81, 6507, 81, 1762, 26, 3274, 81, 19113, 81, 3153, 490, 284, 442, 9500, 26844, 15401, 1243, 26, 5478, 30, 10990, 81, 1160, 27, 203, 589, 1156, 371, 81, 30199, 81, 5905, 81, 1338, 26, 5478, 30, 281, 711, 284, 415, 281, 438, 646, 1665, 44, 291, 281, 280, 12889, 32, 92, 2304, 32, 5954, 32, 452, 81, 6507, 81, 1110, 26, 85, 27, 284, 442, 12889, 32, 92, 2304, 32, 5954, 32, 452, 81, 6507, 81, 1762, 26, 85, 27, 203, 589, 622, 81, 6507, 81, 2067, 26, 5478, 711, 284, 442, 12889, 32, 545, 1114, 23505, 32, 1088, 32, 31802, 12445, 32, 10201, 4692, 32, 3378, 32, 15210, 32, 3855, 81, 30898, 81, 18838, 32, 6096, 26844, 15401, 1243, 203, 823, 9500, 26844, 15401, 1243, 26, 3289, 959, 711, 284, 665, 1156, 1664, 3207, 784, 30, 12889, 30, 10990, 81, 1160, 711, 291, 630, 1114, 5478, 280, 12889, 291, 12889, 32, 92, 2304, 32, 4635, 81, 297, 81, 23505, 81, 2386, 81, 1028, 26, 6507, 81, 1160, 30, 622, 81, 6507, 81, 2067, 26, 5478, 490, 291, 630, 1114, 6507, 280, 10990, 81, 1160, 284, 477, 16099, 284, 665, 2454, 26, 5478, 30, 10990, 81, 1160, 711, 291, 442, 9500, 26844, 15401, 1243, 26, 5478, 30, 10990, 81, 1160, 27, 284, 477, 2433, 284, 665, 2266, 81, 2592, 26, 784, 711, 291, 442, 630, 1114, 6507, 32, 1172, 2137 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 0, 3, 3, 3, 4, 4, 0, 1, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 4, 4, 3, 3, 4, 2, 2, 2, 4, 4, 3, 3, 4, 2, 2, 2, 4, 3, 3, 5, 5, 5, 2, 2, 4, 4, 3, 3, 4, 2, 2, 2, 4, 4, 3, 3, 4, 4, 4, 2, 2, 2, 3, 3, 2, 2, 2, 4, 4, 4, 4, 3, 3, 2, 2, 2, 4, 4, 4, 4, 3, 3, 2, 1, 1, 4, 4, 5, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 7, 12, 11, 12, 12, 11, 12, 11, 10, 9, 11, 11, 7, 8, 8, 7, 5, 5, 6, 6, 5, 5, 2, 2, 5, 5, 4, 4, 7, 7, 7, 6, 7, 6, 8, 7, 8, 6, 6, 6, 7, 7, 6, 6, 6, 10, 11, 11, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 6, 7, 6, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 9, 9, 9, 9, 8, 6, 6, 10, 11, 11, 9, 10, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 6, 6, 10, 11, 11, 9, 10, 8, 9, 9, 9, 9, 9, 8, 9, 8, 2, 2, 3, 7, 8, 8, 6, 7, 5, 6, 6, 6, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 12, 13, 11, 12, 10, 11, 9, 10, 10, 8, 9, 9, 7, 8, 6, 7, 5, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 8, 9, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 10, 9, 4, 4, 7, 8, 6, 6, 7, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 6, 6, 5, 4, 4, 6, 8, 8, 8, 8, 9, 8, 8, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 8, 9, 9 ]	[ 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 4, 1, 1, 0, 5, 5, 0, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 0, 8, 8, 2, 1, 2, 2, 2, 3, 3, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 7, 7, 2, 2, 2, 2, 0, 0, 9, 9, 2, 2, 2, 2, 0, 11, 11, 1, 1, 2, 2, 2, 0, 0, 13, 13, 2, 2, 2, 2, 0, 0, 15, 15, 2, 2, 2, 2, 2, 2, 17, 17, 2, 2, 2, 0, 0, 0, 0, 19, 19, 2, 2, 2, 0, 0, 0, 0, 21, 21, 2, 8, 8, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 3, 3, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 9, 9, 1, 1, 1, 11, 1, 1, 1, 13, 13, 1, 1, 1, 15, 15, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 11, 11, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2 ]
[ 1070, 3089, 749, 98, 1188, 4125, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 500, 104, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 10431, 81, 9572, 280, 428, 4511, 2726, 1347, 31, 1436, 1195, 2023, 4578, 1425, 4511, 2726, 5691, 1195, 5711, 1425, 4511, 2726, 1521, 1195, 20236, 4578, 683, 4511, 1481, 203, 10431, 81, 31528, 280, 30121, 1908, 299, 322, 313, 5711, 20, 2470, 1098, 11748, 1256, 623, 322, 1474, 30, 6608, 299, 313, 20236, 4578, 20, 1098, 1422, 600, 3756, 623, 322, 1474, 461, 2163, 322, 7290, 32, 886, 4578, 1401, 372, 526, 6638, 328, 322, 2354, 1600, 11834, 203, 823, 736, 81, 15699, 26, 500, 104, 32, 500, 104, 711, 284, 617, 6815, 280, 330, 575, 32, 15699, 25, 284, 617, 6057, 280, 301, 291, 330, 16842, 81, 8447, 25, 499, 3829, 32, 8319, 26, 10431, 81, 9572, 30, 330, 14837, 7679, 370, 3049, 47, 10431, 81, 31528, 30, 2129, 47, 1815, 471, 291, 330, 16842, 81, 8447, 81, 2076, 25, 499, 3829, 32, 878, 463, 1175, 436, 25573, 7679, 1425, 291, 330, 15735, 81, 8447, 25, 499, 3829, 32, 8319, 26, 10431, 81, 9572, 30, 330, 18201, 7679, 370, 3049, 47, 10431, 81, 31528, 30, 2129, 47, 1815, 471, 291, 330, 15735, 81, 8447, 81, 2076, 25, 499, 3829, 32, 878, 463, 1175, 436, 37739, 7679, 1425, 291, 330, 8800, 299, 81, 8447, 25, 499, 3829, 32, 8319, 26, 10431, 81, 9572, 30, 330, 14048, 24650, 299, 370, 3049, 47, 10431, 81, 31528, 30, 2129, 47, 1815, 471, 291, 330, 8800, 299, 81, 8447, 81, 2076, 25, 499, 3829, 32, 878, 463, 1175, 436, 22454, 24650, 299, 1425, 291, 330, 10969, 81, 8447, 25, 499, 3829, 32, 8319, 26, 10431, 81, 9572, 30, 330, 15020, 370, 3049, 47, 10431, 81, 31528, 30, 2129, 47, 1815, 471, 291, 330, 10969, 81, 8447, 81, 2076, 25, 499, 3829, 32, 878, 463, 1175, 436, 32731, 1425, 284, 320, 284, 617, 10514, 280, 301, 276, 330, 16842, 81, 8447, 25, 499, 330, 1347, 31, 1436, 370, 276, 330, 15735, 81, 8447, 25, 499, 330, 1347, 31, 1436, 370, 276, 330, 8800, 299, 81, 8447, 25, 499, 330, 1347, 31, 1436, 370, 276, 330, 10969, 81, 8447, 25, 499, 330, 1347, 31, 1436, 370, 284, 320, 203, 823, 25943, 81, 1174, 26, 500, 104, 32, 1243, 711, 284, 617, 6815, 280, 330, 16842, 32, 1174, 25, 284, 477, 1237, 32, 267, 2342, 463, 15699, 81, 314, 683, 284, 665, 43398, 81, 15699, 81, 314, 81, 5691, 26, 784, 711, 291, 415, 646, 630, 32, 15699, 81, 314, 44, 324, 442, 291, 5967, 280, 2149, 291, 1780, 280, 3177, 291, 1474, 280, 3177, 291, 25253, 280, 630, 32, 15699, 81, 314, 291, 415, 25253, 32, 16842, 81, 8447, 610, 330, 1347, 31, 1436, 25, 461, 25253, 32, 2544, 81, 314, 44, 324, 25253, 280, 25253, 32, 2544, 81, 314, 291, 415, 25253, 32, 16842, 81, 8447, 863, 330, 1347, 31, 1436, 950, 324, 415, 25253, 32, 16842, 81, 8447, 863, 330, 1521, 25, 461, 25253, 32 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 5, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 7, 6, 7, 7, 6, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 9, 9, 9, 6, 6, 6, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 8, 9, 9, 9, 5, 5, 6, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 7, 7, 8, 9, 9, 9, 6, 6, 6, 9, 9, 10, 11, 11, 11, 5, 5, 6, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 6, 6, 8, 12, 13, 13, 13, 11, 11, 13, 13, 10, 10, 11 ]	[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 2, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 7, 7, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 9, 9, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 11, 11, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 13, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 15, 15, 0, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 7, 1, 1, 1, 2, 2, 2, 0, 6, 6, 1, 1, 2, 0, 0, 1, 2, 2, 6, 6, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 5, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 5, 5, 5, 0, 0, 2, 2, 2, 2, 4, 4, 6, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2 ]
[ 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 1070, 35243, 1648, 1188, 20418, 203, 5522, 26, 397, 636, 280, 313, 37623, 874, 392, 397, 1503, 280, 20418, 30, 397, 4081, 280, 313, 39702, 392, 397, 1984, 280, 330, 525, 555, 933, 32, 508, 33, 6749, 29921, 83, 33, 31047, 370, 397, 3048, 280, 313, 20919, 8187, 600, 559, 1996, 2739, 4414, 397, 7599, 280, 2290, 81, 5043, 463, 1617, 1425, 397, 2652, 81, 1515, 280, 5053, 950, 330, 1617, 8885, 397, 2443, 81, 13966, 280, 2107, 43764, 370, 330, 10953, 2188, 397, 3414, 81, 3953, 280, 301, 330, 10953, 32, 4968, 32, 3164, 950, 330, 37623, 874, 47, 37623, 874, 25, 801, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 3, 3, 3, 3, 4, 4, 6, 6, 6, 3, 3, 4, 4, 3, 3, 3, 4, 4, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 8, 8, 3, 3, 5, 5, 4, 4, 8, 6, 8, 8, 3, 3, 5, 5, 4, 4, 7, 7, 5, 7, 7, 3, 3, 5, 5, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 5, 5, 1, 2, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 11, 0, 0, 1, 1, 2, 1, 1, 0, 0, 13, 13, 1, 1, 1, 2, 1, 1, 0, 0, 15, 15, 1, 2, 2, 1, 2, 1, 1, 0, 0, 17, 17, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 1070, 261, 1673, 2304, 32, 1040, 1188, 622, 81, 5134, 203, 465, 2322, 203, 465, 5237, 203, 465, 15798, 203, 465, 6436, 619, 2065, 203, 13147, 30, 14887, 280, 428, 629, 26, 86, 27, 436, 343, 328, 2065, 3667, 1648, 9818, 2998, 46661, 2867, 36, 79, 1481, 203, 325, 12350, 610, 225, 34, 44, 11074, 720, 924, 280, 12678, 203, 1824, 44, 2033, 11074, 720, 924, 280, 10091, 203, 465, 9320, 203, 823, 9320, 7233, 26, 18986, 32, 7233, 711, 284, 665, 1156, 1664, 3207, 784, 30, 24921, 347, 1945, 4470, 10280, 291, 15798, 32, 7233, 3667, 1664, 3207, 784, 30, 24921, 27, 291, 630, 32, 681, 2007, 225, 280, 313, 2627, 20, 291, 630, 32, 681, 1227, 280, 313, 86, 20, 284, 665, 894, 2133, 26, 784, 711, 291, 313, 1006, 2748, 667, 20, 291, 1459, 26, 784, 32, 681, 2007, 30, 20550, 3003, 943, 1057, 5769, 803, 47, 3731, 32, 8228, 27, 291, 2748, 280, 9320, 3667, 2665, 505, 77, 784, 32, 681, 2007, 474, 313, 2133, 1446, 291, 5045, 280, 3813, 42, 30, 225, 41, 614, 428, 40, 30, 225, 43, 3212, 291, 630, 32, 4983, 26, 2127, 26, 4873, 471, 225, 37, 34, 27, 284, 665, 894, 2133, 8418, 720, 26, 784, 711, 291, 313, 1006, 2748, 667, 623, 6658, 1149, 20, 291, 1459, 26, 784, 32, 681, 2007, 30, 20550, 3003, 943, 1057, 5769, 803, 47, 3731, 32, 8228, 27, 291, 2748, 280, 9320, 3667, 2665, 505, 77, 784, 32, 681, 2007, 474, 313, 2133, 1446, 291, 5045, 280, 3813, 42, 30, 225, 41, 614, 3037, 87, 392, 313, 1295, 32851, 291, 630, 32, 23895, 26, 8418, 720, 924, 30, 2748, 30, 5045, 27, 284, 665, 894, 2133, 19129, 5382, 26, 784, 711, 291, 313, 1006, 2748, 667, 623, 6643, 13135, 20, 291, 1459, 26, 784, 32, 681, 2007, 30, 20550, 3003, 943, 1057, 5769, 803, 47, 3731, 32, 8228, 27, 291, 2748, 280, 9320, 3667, 2665, 505, 77, 784, 32, 681, 2007, 474, 313, 2133, 1446, 291, 5045, 280, 428, 42, 30, 225, 41, 79, 291, 630, 32, 23895, 26, 18082, 30, 2748, 30, 5045, 27, 284, 665, 894, 2133, 19129, 1250, 26, 784, 711, 291, 313, 1006, 2748, 667, 623, 6643, 1334, 20, 291, 1459, 26, 784, 32, 681, 2007, 30, 20550, 3003, 943, 1057, 5769, 803, 47, 3731, 32, 8228, 27, 291, 2748, 280, 9320, 3667, 2665, 505, 77, 784, 32, 681, 2007, 474, 313, 2133, 1446, 291, 5045, 280, 3813, 42, 30, 225, 41, 30, 225, 40, 614, 428, 39, 30, 225, 38, 30, 225, 37, 614, 428, 36, 30, 225, 35, 30, 225, 34, 3212, 291, 630, 32, 23895, 26, 18082, 30, 2748, 30, 5045, 27, 284, 665, 894, 2133, 3910, 2879, 26, 784, 711, 291, 313, 1006, 2748, 667, 623, 2979, 31, 2630, 20, 291, 1459, 26, 784, 32, 681, 2007, 30, 20550, 3003, 943, 1057, 5769, 803, 47, 3731, 32, 8228, 27, 291, 2748, 280, 9320, 3667, 2665, 505, 77, 784, 32, 681, 2007, 474 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 4, 3, 3, 2, 2, 3, 5, 6, 5, 3, 4, 4, 4, 8, 9, 9, 8, 7, 5, 7, 5, 3, 0, 1, 1, 2, 2, 3, 1, 1, 5, 5, 4, 4, 1, 2, 2, 2, 2, 6, 6, 5, 5, 0, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 7, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 6, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 9, 8, 9, 9, 7, 7, 9, 7, 8, 10, 7, 8, 10, 9, 10, 7, 4, 4, 6, 6, 8, 9, 9, 7, 10, 9, 10, 10, 8, 8, 10, 10, 4, 4, 6, 6, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 9, 8, 9, 9, 7, 7, 9, 7, 8, 10, 7, 8, 10, 9, 10, 7, 4, 4, 6, 6, 8, 9, 9, 7, 10, 9, 10, 10, 8, 8, 10, 10, 4, 4, 6, 6, 9, 8, 8, 9, 8, 7, 10, 10, 8, 10, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 9, 8, 9, 9, 7, 7, 9, 7, 8, 10, 7, 8, 10, 9, 10, 7, 4, 4, 6, 6, 8, 9, 9, 7, 10, 9, 10, 10, 8, 8, 10, 10, 4, 4, 6, 6, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 9, 8, 9, 9, 7, 7, 9, 7, 8, 10, 7, 8, 10, 9, 10, 7, 4, 4, 6, 6, 8, 9, 9, 7, 10, 9, 10, 10, 8, 8, 10, 10, 4, 4, 6, 6, 9, 8, 8, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 9, 8, 9, 9, 7, 7, 9, 7, 8, 10, 7, 8, 10, 9, 10, 7, 4, 4, 6, 6, 8, 9, 9, 7, 10, 9, 10, 10, 8 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 3, 1, 3, 2, 0, 7, 7, 1, 1, 2, 7, 7, 0, 0, 0, 0, 7, 4, 4, 4, 4, 0, 0, 0, 0, 0, 8, 8, 0, 9, 9, 1, 2, 0, 1, 2, 2, 9, 9, 0, 1, 1, 1, 2, 2, 3, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 3, 1, 2, 1, 3, 3, 3, 3, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 3, 1, 2, 1, 2, 3, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 1, 2, 2, 3, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 3, 1, 1, 5, 1, 2, 1, 3, 3, 3, 3, 3, 5, 3, 2, 1, 5, 5, 3, 5, 5, 5, 5, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 2304, 1188, 308, 284, 15218, 271, 924, 30, 284, 12906, 81, 1104, 30, 284, 1984, 4434, 81, 1526, 605, 30, 284, 37773, 81, 878, 30, 284, 37773, 81, 1793, 81, 2425, 30, 203, 27, 203, 81, 106, 280, 9254, 298, 44, 37773, 81, 1793, 81, 2425, 26, 98, 30, 5053, 106, 28676, 950, 330, 525, 555, 106, 28676, 32, 1088, 33, 2425, 33, 34, 7404, 1748, 203, 823, 489, 500, 6076, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 18470, 1499, 8169, 6505, 14731, 5000, 8169, 508, 7404, 474, 766, 353, 540, 25, 18470, 6912, 33, 12302, 49, 104, 47, 2502, 49, 66, 46, 314, 8828, 51, 31, 21948, 31, 108, 34, 31, 43, 8274, 35, 36, 1748, 8172, 25, 284, 617, 9994, 4613, 81, 2413, 280, 330, 525, 555, 14731, 5000, 32, 508, 33, 2593, 5263, 2593, 81, 314, 44, 101, 4009, 2593, 25, 284, 617, 3539, 81, 42974, 81, 29396, 280, 540, 20879, 84, 48, 974, 3182, 5422, 377, 84, 6457, 284, 617, 3765, 280, 301, 291, 330, 965, 950, 330, 525, 555, 14731, 5000, 32, 508, 8172, 104, 47, 6974, 42, 88, 274, 41, 89, 41, 8629, 99, 370, 291, 330, 954, 39, 950, 330, 40, 35, 36, 38, 318, 38, 41, 35, 37, 34, 86, 42, 864, 37, 35414, 3633, 40, 37, 39, 84, 34, 41, 35, 87, 40, 84, 40, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 6974, 42, 88, 274, 41, 89, 41, 8629, 99, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 7380, 81, 44300, 81, 34189, 5562, 81, 38, 42, 34, 98, 81, 8841, 1497, 31, 3299, 32, 25389, 32, 317, 38, 370, 324, 330, 12301, 950, 540, 4484, 44, 80, 641, 49, 555, 3424, 8169, 3072, 37143, 291, 320, 284, 320, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 711, 291, 6027, 81, 314, 280, 630, 1114, 2872, 81, 314, 26, 965, 27, 291, 3829, 280, 301, 324, 330, 314, 950, 6027, 81, 314, 30, 324, 330, 520, 950, 330, 4984, 35, 370, 324, 330, 1959, 81, 3994, 950, 330, 17743, 372, 13467, 370, 291, 320, 291, 3616, 280, 12906, 81, 1104, 26, 965, 30, 1984, 4434, 81, 1526, 605, 26, 4151, 490, 291, 3616, 32, 669, 81, 2111, 463, 1777, 31, 681, 370, 330, 3164, 33, 106, 31, 1499, 31, 599, 31, 27151, 683, 291, 41164, 280, 630, 1114, 4984, 81, 1840, 1637, 26, 2403, 30, 6027, 81, 314, 30, 11244, 330, 33829, 5822, 1938, 683, 291, 415, 316, 32, 1903, 26, 784, 1114, 3539, 81, 42974, 81, 29396, 30, 41164, 27, 438, 646, 1665, 44, 324, 3636, 15218, 271, 924, 463, 6076, 904, 101, 1957, 646, 2307, 25, 904, 6027, 81, 314, 30, 768, 2799, 47, 1815, 27, 291, 5592, 81, 314, 280, 630, 1114, 1903, 81, 7920, 26, 100, 25, 1317, 78, 110, 2009, 14747, 110, 6155 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 3, 3, 2, 2, 3, 3, 3, 5, 5, 5, 5, 5, 6, 5, 5, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 7, 7, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 4, 4, 6, 6, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 10, 11, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 8, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 8, 8, 6, 6, 6, 5, 5, 5, 7, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 9, 9, 10, 11, 9, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 15798, 1188, 7116, 2797, 203, 1070, 8527, 32, 2387, 1188, 10838, 40672, 203, 1070, 638, 858, 81, 11215, 1188, 10838, 9634, 4470, 203, 1270, 44, 284, 1188, 594, 17321, 36, 203, 7343, 29986, 44, 284, 594, 17321, 36, 280, 1665, 284, 971, 17321, 36, 280, 1665, 203, 1824, 44, 284, 645, 8527, 32, 2387, 32, 11514, 32, 45287, 36, 1188, 971, 17321, 36, 203, 50, 5961, 2797, 26, 45287, 36, 438, 1665, 30, 313, 578, 894, 7171, 594, 17321, 36, 657, 203, 823, 971, 17321, 36, 4470, 26, 3442, 9634, 4470, 711, 284, 6863, 81, 823, 280, 971, 17321, 36, 284, 9161, 81, 426, 280, 330, 45287, 36, 25, 284, 2075, 280, 5053, 10504, 81, 33542, 81, 22331, 950, 2933, 111, 284, 665, 894, 81, 6946, 26, 784, 711, 291, 3079, 280, 630, 32, 3483, 32, 371, 81, 2387, 463, 2387, 81, 11514, 33, 7656, 32, 916, 683, 291, 630, 32, 6549, 26, 2387, 32, 6946, 32, 426, 32, 20643, 463, 7656, 32, 916, 2847, 291, 630, 32, 5299, 26, 2387, 32, 6946, 32, 2387, 81, 426, 30, 330, 2387, 81, 11514, 33, 7656, 32, 916, 683, 284, 665, 894, 81, 6946, 81, 1070, 81, 800, 26, 784, 711, 291, 3079, 280, 630, 32, 3483, 32, 1070, 81, 800, 463, 8279, 14351, 96, 683, 291, 630, 32, 5299, 26, 2387, 32, 6946, 32, 426, 30, 4145, 2387, 22639, 291, 630, 32, 5299, 26, 2387, 32, 6946, 32, 2387, 81, 426, 30, 1665, 27, 284, 665, 894, 81, 784, 81, 1819, 26, 784, 711, 291, 3079, 280, 630, 32, 3483, 32, 1070, 81, 800, 463, 7656, 3335, 9214, 2038, 22735, 291, 1795, 280, 3079, 32, 3169, 26, 1819, 12516, 784, 950, 330, 784, 370, 330, 3986, 950, 330, 5860, 18143, 291, 630, 32, 5299, 26, 1286, 30, 330, 7656, 5788, 22735, 284, 665, 894, 81, 3893, 81, 2811, 81, 1338, 81, 887, 81, 1819, 26, 784, 711, 291, 623, 630, 32, 23895, 26, 3442, 40672, 27, 619, 484, 44, 324, 630, 32, 3483, 32, 371, 81, 2387, 463, 2387, 81, 11514, 33, 8144, 81, 731, 32, 916, 683, 291, 4588, 280, 484, 32, 3893, 32, 2387, 81, 2811, 291, 630, 32, 5299, 26, 2811, 710, 5483, 2188, 9142, 291, 630, 32, 5299, 26, 2811, 710, 5553, 2188, 9142, 291, 630, 32, 5299, 26, 2811, 710, 46510, 2188, 330, 4572, 2163, 3328, 683, 291, 630, 32, 5299, 26, 2811, 710, 3462, 2188, 225, 35, 27, 291, 630, 32, 5299, 26, 2811, 710, 1393, 2188, 225, 34, 27, 291, 630, 32, 5299, 26, 2811, 710, 928, 2188, 225, 35, 27, 291, 630, 32, 5299, 26, 2811, 710, 2999, 2188, 225, 35, 27, 291, 630, 32, 5299, 26, 1657, 26, 2811, 710, 1855, 81, 4446, 16578, 225, 35, 27, 291, 630, 32, 6549, 26, 2811, 710, 426, 5695, 20643, 463, 8144, 81, 731, 32, 916, 2847, 291, 630, 32, 6549, 463, 1436, 25, 328, 4588, 27, 284, 665, 894, 81, 3893, 81, 2811, 81, 1338, 81, 1449, 81, 1819, 26, 784, 711, 291, 623, 630, 32 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 5, 5, 3, 3, 6, 6, 5, 5, 1, 2, 2, 2, 2, 4, 5, 6, 5, 6, 5, 6, 6, 4, 4, 6, 6, 0, 2, 4, 4, 4, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 6, 6, 5, 5, 6, 6, 3, 3, 6, 6, 5, 5, 7, 7, 7, 3, 3, 5, 5, 9, 9, 9, 9, 9, 9, 7, 6, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 8, 13, 12, 13, 11, 12, 10, 11, 10, 12, 12, 12, 12, 5, 5, 8, 9, 8, 11, 10, 11, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 11, 12, 11, 5, 5, 8, 9, 8, 11, 10, 11, 9, 10, 8, 8, 10, 10, 5, 5, 8, 9, 8, 11, 10, 11, 9, 10, 10, 10, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 5, 5, 7, 7, 9, 10, 9, 11, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 11, 12, 11, 12, 12, 11, 9, 9, 6, 6, 6, 11, 12, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 7, 7, 9, 10, 8, 9, 9, 9, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 10, 10, 10, 10, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 9, 8, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 9, 8, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 9, 8, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 9, 8, 5, 5, 8, 9, 8, 10, 10, 12, 11, 13, 13, 13, 13, 8, 9, 8, 5, 5, 8, 9, 8, 12, 11, 13, 13, 11, 10, 12, 12, 12, 12, 12, 12, 5, 5, 8, 9, 8, 11, 11, 9, 9, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 11 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 1, 2, 1, 4, 1, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 2, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0 ]
[ 2474, 280, 313, 76, 272, 9004, 101, 32, 2763, 32, 13666, 20455, 20, 203, 4530, 280, 313, 35, 32, 38, 32, 35, 20, 203, 37381, 280, 313, 10186, 102, 498, 860, 265, 20, 203, 4092, 280, 3330, 203, 9621, 81, 7604, 17475, 280, 2107, 76, 272, 9004, 101, 370, 330, 76, 272, 9004, 101, 32, 2763, 785, 203, 7604, 17475, 280, 2107, 76, 272, 9004, 101, 370, 330, 76, 272, 9004, 101, 32, 2763, 370, 330, 76, 272, 9004, 101, 32, 2763, 32, 13666, 20455, 785, 203, 14180, 81, 4858, 44785, 280, 1605, 203, 33305, 81, 76, 21125, 1706, 81, 1971, 69, 280, 41568, 36, 32, 37, 20, 203, 30800, 81, 76, 718, 7604, 81, 2474, 280, 3330, 203, 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 5522, 26, 284, 636, 280, 8912, 30, 284, 1503, 280, 20418, 30, 284, 4081, 280, 29480, 30, 284, 3541, 280, 7616, 30, 284, 8248, 76, 7888, 422, 44546, 280, 14199, 722, 81, 76, 21125, 1706, 81, 1971, 69, 30, 284, 7323, 76, 272, 9004, 558, 280, 19335, 72, 81, 76, 718, 7604, 81, 2474, 30, 284, 3583, 81, 5043, 280, 35121, 8993, 81, 7604, 17475, 30, 284, 7599, 280, 2290, 81, 5043, 1026, 284, 2305, 81, 1320, 81, 605, 280, 2933, 30, 284, 2652, 81, 605, 280, 301, 276, 40496, 710, 877, 10958, 6513, 32, 2760, 1195, 877, 4092, 32, 2760, 2188, 276, 801, 284, 2443, 81, 13966, 280, 43998, 81, 4858, 44785, 30, 284, 3414, 81, 3953, 280, 301, 291, 330, 5872, 13500, 32, 5872, 38154, 950, 6611, 101, 280, 904, 101, 25, 904, 308, 2474, 30, 8912, 471, 284, 801, 284, 8529, 81, 4770, 280, 3177, 30, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 4, 4, 5, 5, 5, 5, 3, 3, 3, 4, 4, 6, 6, 6, 3, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 3, 3, 5, 5, 4, 4, 5, 5, 5, 3, 3, 3, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 9, 9, 9, 9, 9, 7, 7, 9, 8, 8, 8, 5, 5, 3, 3, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]	[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 5, 1, 1, 1, 7, 7, 1, 1, 1, 0, 0, 0, 0, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 11, 11, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 13, 13, 2, 2, 2, 2, 1, 1, 1, 15, 15, 0, 0, 1, 1, 1, 0, 0, 0, 0, 17, 17, 1, 1, 1, 0, 0, 19, 19, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 21, 21, 2, 2, 2, 1, 1, 1, 0, 0, 23, 23, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 25, 25, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 36387, 32, 3893, 1188, 3398, 46794, 203, 823, 12122, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 7348, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 7348, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 33252, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 11924, 1212, 16525, 299, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 20319, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 20319, 1564, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 3012, 1564, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 3012, 1564, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 33252, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 14897, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 17784, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 33904, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 5104, 1419, 5909, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 7348, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 17784, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 17784, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 7348, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 11924, 1212, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 11924, 1212, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 33252, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 3012, 1564, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 11924, 1212, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 20319, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 18094, 2828, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 37364, 4711, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 33252, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 20319, 1564, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 20319, 1564, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 5104, 1419, 5909, 1834, 4607, 5827, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 20319, 1564, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 3012, 1564, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 18751, 15271, 4607, 13133, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 20319, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 3725, 1299, 16379, 44035, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 3012, 46812, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8258, 705, 7348, 27209, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 48377, 3774, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1 ]	[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 1, 2, 6, 6, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 1, 2, 7, 7, 0, 8, 8, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 1, 2, 9, 9, 0, 10, 10, 1, 1, 1, 1, 2, 1, 1, 2, 10, 10, 0, 11, 11, 1, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 12, 12, 1, 1, 2, 1, 1, 2, 12, 12, 0, 13, 13, 1, 2, 1, 1, 2, 13, 13, 0, 14, 14, 1, 2, 1, 1, 2, 14, 14, 0, 15, 15, 1, 1, 1, 1, 1, 2, 1, 1, 2, 15, 15, 0, 16, 16, 1, 1, 1, 2, 1, 1, 2, 16, 16, 0, 17, 17, 1, 1, 1, 2, 1, 1, 2, 17, 17, 0, 18, 18, 1, 1, 2, 1, 1, 2, 18, 18, 0, 19, 19, 1, 1, 1, 1, 2, 1, 1, 2, 19, 19, 0, 20, 20, 1, 1, 2, 1, 1, 2, 20, 20, 0, 21, 21, 1, 1, 1, 2, 1, 1, 2, 21, 21, 0, 22, 22, 1, 1, 1, 2, 1, 1, 2, 22, 22, 0, 23, 23, 1, 1, 1, 2, 1, 1, 2, 23, 23, 0, 24, 24, 1, 1, 1, 1, 2, 1, 1, 2, 24, 24, 0, 25, 25, 1, 1, 1, 2, 1, 1, 2, 25, 25, 0, 26, 26, 1, 1, 1, 1, 2, 1, 1, 2, 26, 26, 0, 27, 27, 1, 1, 2, 1, 1, 2, 27, 27, 0, 28, 28, 1, 1, 1, 1, 2, 1, 1, 2, 28, 28, 0, 29, 29, 1, 1, 2, 1, 1, 2, 29, 29, 0, 30, 30, 1, 1, 1, 1, 1, 2, 1, 1, 2, 30, 30, 0, 31, 31, 1, 1, 1, 1, 2, 1, 1, 2, 31, 31, 0, 32, 32, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 32, 32, 0, 33, 33, 1, 1, 1, 2, 1, 1, 2, 33, 33, 0, 34, 34, 1, 1, 1, 1, 1, 2, 1, 1, 2, 34, 34, 0, 35, 35, 1, 1, 2, 1, 1, 2, 35, 35, 0, 36, 36, 1, 1, 1, 1, 2, 1, 1, 2, 36, 36, 0, 37, 37, 1, 1, 1, 1, 2, 1, 1, 2, 37, 37, 0, 38, 38, 1, 1, 1, 2, 1, 1, 2, 38, 38, 0, 39, 39, 1, 1, 1, 2, 1, 1, 2, 39, 39, 0, 40, 40, 1, 1, 1, 1, 2, 1, 1, 2, 40, 40, 0, 41, 41, 1, 1, 2, 1, 1, 2, 41, 41, 0, 42 ]
[ 465, 13625, 203, 1070, 26921, 1188, 16359, 203, 1070, 8607, 1188, 10895, 203, 1070, 8607, 1188, 16359, 81, 7263, 203, 1070, 29346, 32, 1262, 1188, 4527, 203, 1070, 29346, 32, 853, 1188, 21335, 81, 1040, 203, 823, 6548, 14897, 26, 19653, 32, 19836, 711, 334, 665, 1156, 1664, 3207, 784, 30, 2125, 81, 426, 81, 452, 81, 1945, 280, 330, 7831, 284, 2599, 26, 3135, 14897, 30, 630, 14585, 1664, 3207, 1141, 81, 426, 81, 452, 81, 1945, 47, 1141, 81, 426, 81, 452, 81, 1945, 27, 284, 630, 32, 2679, 81, 10487, 81, 5553, 81, 1945, 280, 3177, 284, 630, 1114, 6281, 81, 7263, 280, 1665, 334, 665, 6028, 518, 9610, 2031, 26, 784, 30, 2075, 711, 284, 2599, 26, 3135, 14897, 30, 630, 547, 3402, 518, 9610, 2031, 26, 2184, 27, 284, 21335, 81, 1040, 32, 3402, 518, 9610, 2031, 26, 2184, 27, 284, 2075, 32, 6551, 9113, 9610, 3080, 2009, 291, 11363, 11243, 31, 2135, 31, 2848, 25, 284, 8834, 334, 665, 12515, 1562, 1969, 26, 784, 30, 1938, 30, 5427, 711, 284, 4527, 32, 23595, 26, 5962, 44, 5427, 32, 10487, 461, 353, 21335, 81, 1040, 32, 936, 21485, 1534, 26, 3486, 21335, 81, 1040, 32, 37952, 81, 26123, 65, 15693, 30, 3486, 330, 3135, 14897, 32, 1934, 17074, 10655, 370, 3486, 5427, 32, 29242, 81, 3007, 471, 1750, 40, 34, 27, 284, 442, 5427, 32, 29242, 81, 3007, 334, 665, 5477, 2529, 1562, 1969, 26, 784, 30, 1938, 711, 284, 442, 1938, 32, 1637, 81, 470, 32, 5646, 32, 1055, 26, 1637, 27, 610, 225, 34, 334, 665, 4489, 29207, 12805, 26, 784, 30, 1938, 30, 4878, 711, 284, 3097, 334, 665, 12888, 1969, 885, 26, 784, 30, 1938, 81, 470, 711, 284, 341, 777, 81, 8929, 81, 4243, 81, 452, 81, 1637, 81, 11400, 280, 13625, 32, 1536, 2665, 26, 668, 27, 284, 436, 1938, 328, 1938, 81, 470, 44, 397, 415, 1938, 32, 297, 81, 1696, 44, 291, 4036, 397, 341, 777, 81, 8929, 81, 426, 280, 1938, 81, 470, 32, 73, 777, 9140, 1562, 1969, 26, 1637, 27, 397, 341, 777, 81, 8929, 81, 4243, 81, 452, 81, 1637, 81, 11400, 77, 105, 777, 81, 8929, 81, 426, 997, 1689, 26, 1637, 32, 965, 27, 284, 415, 2069, 26, 105, 777, 81, 8929, 81, 4243, 81, 452, 81, 1637, 81, 11400, 32, 3494, 1157, 848, 225, 35, 44, 397, 3636, 3268, 440, 3817, 1938, 470, 44, 1829, 2784, 225, 35, 624, 2978, 13600, 2431, 21190, 313, 474, 616, 26542, 26, 105, 777, 81, 8929, 81, 4243, 81, 452, 81, 1637, 81, 11400, 490, 334, 665, 19231, 2130, 9610, 26, 784, 30, 5427, 711, 284, 630, 1114, 6281, 81, 7263, 280, 10895, 32, 20832, 9141, 26, 7128, 27, 284, 630, 1114, 6281, 81, 7263, 32, 2130, 26, 2521, 30, 1665, 27, 334, 665, 12888, 2185, 10622, 1969, 26, 784, 30, 1938, 30, 4878, 30, 3276, 711, 284, 4878, 32, 23595, 3092, 10593, 1078, 26000, 7371, 346, 284, 630, 1114, 6281, 81, 7263, 32, 6495, 26, 2521, 30, 1665, 27, 284, 630, 1114, 6281, 81, 7263 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 7, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 7, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 8, 8, 8, 10, 11, 9, 9, 9, 12, 12, 11, 12, 12, 12, 11, 11, 11, 13, 13, 12, 13, 13, 13, 13, 13, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 11, 7, 8, 8, 7, 4, 4, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 10, 11, 11, 11, 9, 10, 8, 9, 8, 9, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 7, 8, 9, 9, 9, 7, 7, 7, 6, 6, 9, 9, 9, 9, 9, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 10, 10, 9, 11, 10, 11, 9, 4, 4, 5, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 7, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 7, 7, 4, 4, 8, 9, 9, 9 ]	[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 1, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 7, 7, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2 ]
[ 1270, 44, 284, 1188, 281, 14686, 274, 619, 19571, 203, 7343, 29986, 44, 284, 1188, 19571, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 1188, 23134, 203, 1070, 8527, 32, 12023, 32, 18780, 32, 11514, 32, 1439, 1188, 6548, 1761, 203, 823, 24650, 274, 7262, 26, 1473, 711, 284, 665, 10128, 101, 26, 784, 30, 2830, 711, 291, 442, 19571, 32, 16958, 26, 2067, 30, 19571, 32, 48534, 1675, 635, 81, 20474, 27, 284, 665, 20748, 26, 784, 30, 706, 711, 291, 442, 19571, 32, 12474, 26, 605, 27, 203, 823, 6548, 2780, 26, 3135, 1761, 711, 284, 665, 2454, 26, 784, 711, 291, 1596, 44, 324, 442, 23134, 32, 12474, 26, 784, 32, 2848, 81, 678, 30, 400, 16614, 47, 14686, 274, 7262, 30, 400, 1769, 81, 381, 47, 3550, 32, 9564, 81, 31784, 81, 3470, 30, 400, 17940, 1057, 11025, 32, 12023, 32, 18780, 32, 11514, 32, 2058, 81, 21326, 683, 291, 2940, 308, 34119, 32, 8418, 7785, 30, 10091, 711, 324, 630, 32, 1297, 346, 291, 442, 2149, 284, 665, 1487, 26, 784, 711, 291, 630, 32, 10454, 280, 2933, 284, 665, 4131, 26, 784, 30, 2298, 81, 1297, 47, 2700, 711, 291, 630, 1114, 2848, 81, 678, 280, 630, 1114, 371, 81, 2848, 81, 678, 346, 291, 630, 32, 10454, 280, 2933, 284, 665, 5375, 26, 784, 30, 3523, 81, 678, 47, 2521, 711, 291, 442, 3177, 284, 665, 3066, 26, 784, 30, 3523, 81, 678, 47, 2521, 711, 291, 630, 1114, 2848, 81, 678, 280, 4247, 291, 630, 1114, 2848, 81, 2613, 280, 2149, 291, 630, 32, 10454, 280, 2933, 284, 665, 14770, 81, 678, 26, 784, 711, 291, 630, 32, 2853, 346, 284, 665, 617, 371, 81, 2848, 81, 678, 26, 784, 711, 291, 3523, 81, 2613, 280, 18623, 26, 784, 30, 7610, 2848, 81, 2613, 370, 12797, 291, 442, 23134, 32, 16958, 26, 2848, 81, 2613, 30, 20918, 47, 1815, 30, 324, 17940, 1057, 11025, 32, 12023, 32, 18780, 32, 11514, 32, 2058, 81, 21326, 370, 324, 16614, 47, 14686, 274, 7262, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 8, 7, 7, 8, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 5, 5, 7, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 9, 10, 11, 11, 11, 9, 9, 9, 11, 11, 10, 12, 11, 12, 12, 12, 12, 12, 9, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 6, 9, 8, 9, 9, 7, 7, 7, 6, 6, 10, 11, 10, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 8, 10, 10, 10, 10, 8, 4, 4, 5, 7, 8, 7, 8, 8, 8, 7, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 9, 9, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 1, 8, 3, 3, 0, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 0, 1, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 2, 1, 2, 2, 0, 0, 3, 2, 2, 3, 3, 0, 4, 4, 4, 2, 1, 2, 2, 0, 0, 3, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 203, 465, 5741, 203, 1070, 40946, 1188, 40946, 619, 617, 203, 1070, 20894, 32, 6319, 1188, 38092, 203, 1070, 20894, 32, 6319, 1188, 3194, 930, 203, 465, 9617, 583, 1294, 3854, 203, 465, 3223, 299, 203, 465, 5034, 32, 2812, 203, 1070, 1825, 1188, 21450, 1917, 203, 1070, 3741, 4668, 1188, 7823, 4668, 2101, 203, 465, 33613, 4018, 203, 1070, 5034, 32, 22014, 1188, 1692, 203, 465, 5171, 2304, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 10349, 1372, 2913, 4822, 1669, 308, 3518, 299, 32, 1721, 1669, 711, 284, 617, 13777, 81, 2883, 11483, 1392, 280, 30121, 16077, 10170, 683, 284, 617, 13777, 81, 14931, 1392, 280, 30121, 16077, 10170, 308, 30379, 19188, 284, 665, 1156, 1664, 3207, 784, 711, 291, 645, 3022, 1188, 622, 81, 725, 291, 1123, 280, 622, 81, 725, 346, 291, 630, 1114, 725, 280, 1123, 291, 3223, 299, 32, 1721, 1669, 3667, 1664, 3207, 784, 30, 1123, 27, 291, 630, 1114, 5728, 280, 10349, 1372, 2913, 4822, 346, 291, 630, 1114, 5728, 32, 2816, 81, 8968, 1454, 630, 1114, 5728, 81, 2816, 81, 8968, 291, 630, 32, 669, 26, 784, 1114, 5728, 27, 291, 630, 32, 470, 81, 1311, 26, 784, 1114, 13777, 81, 2883, 11483, 1392, 27, 284, 665, 617, 5728, 81, 2816, 81, 8968, 26, 784, 30, 7012, 30, 16459, 711, 291, 415, 16459, 44, 324, 630, 32, 470, 81, 1311, 26, 784, 1114, 13777, 81, 14931, 1392, 27, 291, 813, 44, 324, 630, 32, 470, 81, 1311, 26, 784, 1114, 13777, 81, 2883, 11483, 1392, 27, 203, 823, 10349, 1372, 2913, 4822, 308, 24883, 32, 3552, 711, 284, 617, 19958, 280, 225, 36, 284, 617, 2576, 81, 4758, 13899, 81, 2474, 280, 26155, 2023, 33613, 4324, 657, 284, 617, 18576, 81, 8606, 81, 11779, 62, 280, 29702, 291, 1044, 20879, 84, 28093, 101, 377, 84, 5213, 96, 25, 291, 4145, 4884, 48, 1908, 312, 2080, 33613, 1932, 377, 4884, 22639, 284, 617, 18576, 81, 34372, 25058, 81, 11779, 62, 280, 29702, 291, 1044, 20879, 84, 28093, 101, 377, 84, 48, 333, 91, 1563, 10454, 2874, 91, 5213, 96, 25, 291, 1044, 20879, 4884, 48, 9574, 884, 646, 6305, 7511, 377, 4884, 22639, 284, 617, 18576, 81, 34372, 1818, 2147, 81, 11779, 62, 280, 29702, 291, 1044, 20879, 84, 28093, 101, 377, 84, 48, 308, 30379, 5421, 96, 25, 291, 1044, 20879, 4884, 48, 12291, 623, 1346, 33613, 556, 1963, 377, 4884, 22639, 284, 617, 18576, 81, 2883, 11483, 1392, 81, 11779, 62, 280, 29702, 291, 4145, 84, 28093, 101, 377, 84, 5213, 96, 25, 291, 1044, 20879, 4884, 48, 2655, 15509, 3579, 2735, 372, 1930, 3404, 372, 322, 4269, 377, 4884, 22639, 284, 5286, 390, 225, 665, 1156, 1664, 3207, 784, 711, 291, 38092, 32, 3552, 3667, 1664, 3207, 784, 27, 291, 630, 32, 470, 81, 643, 81, 10316, 26, 40, 27, 291, 630, 32, 470, 81, 2592, 81, 10316, 26, 35, 36, 27, 291, 645, 3022, 1188, 622, 81, 725, 291, 1123, 280, 622, 81, 725, 346, 291, 630 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 2, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 7, 4, 4, 6, 6, 8, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 9, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 8, 9, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 9, 10, 10, 10, 9, 11, 10, 11, 11, 11, 11, 9, 5, 5, 6, 6, 6, 10, 11, 11, 11, 10, 12, 11, 12, 12, 12, 12, 12, 10, 0, 1, 1, 2, 2, 2, 1, 4, 3, 4, 2, 1, 1, 5, 4, 4, 5, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 7, 7, 7, 6, 6, 6, 6, 2, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 2, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 2, 3, 5, 3, 3, 5, 5, 2, 2, 5, 4, 6, 6, 6, 2 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 3, 3, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 7, 7, 1, 2, 0, 8, 8, 8, 8, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 10, 10, 0, 0, 11, 11, 1, 2, 11, 11, 0, 12, 12, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 14, 14, 1, 1, 1, 1, 14, 0, 0, 1, 2, 2, 2, 14, 14, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 15, 15, 1, 1, 1, 15, 0, 1, 2, 2, 15, 15, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 2, 2, 2, 2, 1, 1, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 10, 0, 10, 10, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4 ]
[ 505, 2116, 505, 280, 330, 1198, 363, 90, 25, 203, 465, 1933, 203, 465, 5237, 203, 465, 2322, 203, 465, 316, 203, 465, 5741, 203, 465, 5741, 32, 14458, 203, 1070, 46032, 1188, 1188, 81, 1647, 203, 1070, 309, 3509, 36, 1188, 3051, 81, 4073, 30, 551, 3324, 1392, 81, 6333, 30, 35280, 43189, 203, 1070, 309, 3509, 36, 1188, 551, 3324, 1392, 81, 20120, 203, 1070, 309, 3509, 36, 1188, 551, 3324, 1392, 81, 5068, 81, 613, 9674, 203, 1070, 309, 3509, 36, 1188, 551, 3324, 1392, 81, 5068, 81, 3705, 203, 1070, 309, 3509, 36, 1188, 551, 3324, 1392, 81, 5068, 81, 783, 1926, 17944, 203, 1070, 309, 3509, 36, 32, 4890, 81, 13956, 1188, 1430, 81, 5792, 203, 1070, 309, 3509, 36, 32, 30138, 1188, 15310, 203, 1070, 309, 3509, 36, 32, 954, 2157, 1188, 13528, 2780, 203, 1070, 309, 3509, 36, 32, 5002, 81, 1088, 1188, 13662, 6510, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 1070, 309, 3509, 36, 1188, 8735, 203, 1070, 309, 3509, 36, 1188, 309, 3509, 203, 1070, 309, 3509, 36, 32, 6728, 1188, 8735, 1707, 203, 1070, 309, 3509, 36, 32, 6728, 1188, 804, 98, 28494, 203, 1070, 309, 3509, 36, 32, 6728, 1188, 343, 344, 203, 1070, 309, 3509, 36, 32, 6728, 1188, 8735, 2437, 203, 1070, 309, 3509, 36, 32, 6728, 1188, 7890, 203, 465, 5592, 3210, 365, 203, 465, 5592, 1325, 203, 4824, 69, 280, 301, 284, 309, 3509, 32, 9621, 44, 309, 3509, 30, 284, 8735, 1707, 32, 9621, 44, 8735, 1707, 30, 284, 8735, 2437, 32, 9621, 44, 8735, 2437, 30, 284, 343, 344, 32, 9621, 44, 343, 344, 30, 284, 7890, 32, 9621, 44, 7890, 30, 284, 804, 98, 28494, 32, 9621, 44, 804, 98, 28494, 30, 284, 8735, 32, 9621, 44, 8735, 30, 284, 5592, 3210, 365, 32, 9621, 44, 5592, 3210, 365, 30, 284, 5592, 1325, 32, 9621, 44, 5592, 1325, 203, 111, 203, 22116, 81, 12896, 280, 428, 284, 313, 2225, 314, 392, 284, 313, 2593, 4215, 81, 7003, 392, 284, 313, 2811, 392, 284, 313, 678, 81, 761, 392, 284, 313, 678, 81, 761, 81, 4617, 16096, 392, 284, 313, 6989, 81, 761, 392, 284, 313, 20634, 81, 681, 392, 284, 313, 7241, 392, 284, 313, 27190, 81, 1003, 81, 4903, 392, 284, 313, 426, 392, 284, 313, 1173, 81, 23545, 392, 284, 313, 2310, 392, 284, 313, 1327, 81, 979, 392, 284, 313, 6967, 81, 6482, 81, 6989, 392, 284, 313, 12708, 392, 284, 313, 5546, 81, 6416, 392, 284, 313, 426, 81, 599, 392, 284, 313, 5002, 81, 12708, 392, 284, 313, 4073, 392, 284, 313, 2585, 81, 539, 81, 3494, 81, 266, 81, 4519, 392, 284, 313, 12646, 81, 9698, 81, 2058, 392, 284, 313, 5820, 81, 6482, 81, 15324, 81, 6460, 392, 284, 313, 9258, 81, 9986, 392, 284, 313, 2848, 81, 4219, 392, 284, 313, 2225, 81, 3153, 392, 284, 313, 2593, 4215, 81, 983, 392, 284, 313, 6728, 81, 14331, 392, 284, 313, 6989, 81, 4531, 81, 7615, 81, 823, 392, 284, 313, 5536, 81 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 3, 3, 2, 2, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 5, 6, 4, 4, 3, 3, 3, 6, 6, 5, 6, 4, 4, 5, 5, 3, 3, 3, 5, 6, 4, 4, 3, 3, 3, 6, 6, 5, 6, 4, 4, 5, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5 ]	[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 2, 0, 7, 7, 7, 7, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 13, 0, 0, 1, 2, 2, 2, 13, 13, 0, 0, 0, 14, 14, 0, 0, 1, 2, 14, 14, 0, 15, 15, 0, 0, 1, 2, 2, 15, 15, 0, 0, 16, 16, 0, 0, 1, 2, 2, 2, 16, 16, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 18, 18, 0, 0, 18, 18, 0, 19, 19, 0, 0, 19, 19, 0, 0, 20, 20, 0, 0, 1, 2, 20, 20, 0, 0, 21, 21, 0, 0, 1, 2, 21, 21, 0, 0, 0, 22, 22, 0, 0, 1, 2, 22, 22, 0, 0, 23, 23, 0, 0, 1, 2, 23, 23, 0, 0, 24, 24, 0, 0, 1, 2, 24, 24, 0, 25, 25, 0, 0, 0, 26, 26, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 3, 3, 2, 2, 2, 2, 0, 0, 2, 5, 5, 2, 2, 2, 2, 0, 0, 2, 7, 7, 2, 2, 2, 2, 0, 2, 9, 9, 2, 2, 2, 0, 0, 0, 2, 11, 11, 2, 2, 2, 2, 2, 0, 2, 13, 13, 2, 2, 2, 0, 0, 0, 2, 15, 15, 2, 2, 2, 2, 2, 0, 0, 2, 17, 17, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1 ]
[ 465, 3312, 203, 465, 25630, 203, 465, 298, 4614, 203, 1070, 1288, 449, 32, 1055, 1188, 6422, 30, 6422, 1215, 30, 6422, 2633, 203, 1070, 1288, 449, 32, 22451, 1188, 5380, 203, 1070, 1288, 449, 32, 8463, 32, 1637, 1055, 1188, 506, 57, 6224, 81, 4050, 30, 766, 203, 202, 13073, 81, 4050, 30, 8912, 81, 4050, 30, 13399, 81, 4050, 30, 17807, 81, 4050, 203, 1070, 1288, 449, 32, 1163, 1188, 3383, 7167, 203, 1070, 1288, 449, 32, 5558, 32, 3963, 1188, 319, 203, 50, 4882, 32, 20157, 1006, 203, 823, 2108, 35646, 1969, 3350, 2780, 26, 4882, 32, 7233, 711, 203, 202, 589, 14553, 26, 784, 711, 357, 202, 784, 32, 2157, 823, 280, 9130, 3886, 1969, 3350, 2780, 357, 202, 784, 32, 1071, 823, 280, 22113, 1969, 34660, 357, 202, 784, 32, 22451, 280, 3312, 32, 890, 81, 22451, 346, 357, 202, 784, 32, 1055, 280, 630, 32, 22451, 32, 1055, 203, 202, 589, 1420, 1006, 26, 784, 711, 357, 202, 9592, 1006, 9130, 3886, 1969, 3350, 2780, 1650, 2568, 9592, 357, 202, 1707, 280, 7502, 2284, 346, 357, 202, 1707, 32, 22451, 280, 630, 32, 22451, 357, 202, 1707, 32, 1637, 280, 5380, 463, 1006, 44, 3986, 683, 357, 202, 784, 32, 6549, 26, 784, 32, 22451, 32, 371, 81, 1637, 26, 1707, 32, 1637, 547, 4658, 1157, 357, 202, 5309, 445, 686, 280, 630, 32, 2157, 823, 26, 784, 32, 1055, 27, 357, 202, 784, 32, 5299, 26, 5309, 445, 686, 32, 371, 81, 4545, 1026, 225, 34, 27, 357, 202, 784, 32, 5299, 26, 5309, 445, 686, 32, 371, 81, 96, 81, 6057, 1026, 225, 42, 27, 357, 202, 3242, 1071, 280, 630, 32, 1071, 823, 26, 1707, 30, 9643, 445, 686, 27, 357, 202, 1160, 280, 4345, 1071, 32, 371, 81, 1160, 346, 357, 202, 325, 6937, 26, 1160, 30, 25630, 32, 3350, 1243, 2348, 711, 355, 202, 1160, 280, 1542, 32, 371, 81, 1160, 346, 4512, 202, 784, 32, 5299, 26, 1160, 30, 9643, 445, 686, 27, 357, 202, 784, 32, 5299, 26, 5309, 445, 686, 32, 371, 81, 4545, 1026, 225, 34, 27, 357, 202, 784, 32, 5299, 26, 5309, 445, 686, 32, 371, 81, 96, 81, 6057, 1026, 225, 42, 27, 357, 202, 784, 32, 1055, 32, 1877, 26, 4383, 47, 4882, 32, 22589, 81, 2416, 81, 5057, 27, 357, 202, 4882, 32, 22589, 81, 2416, 81, 5057, 346, 357, 202, 96, 280, 9643, 445, 686, 32, 267, 81, 1731, 81, 96, 81, 4915, 26, 2521, 27, 357, 202, 784, 32, 6549, 26, 96, 848, 225, 34, 27, 357, 202, 96, 280, 9643, 445, 686, 32, 1731, 81, 96, 81, 4915, 26, 2521, 27, 357, 202, 784, 32, 6549, 26, 96, 848, 225, 34, 27, 357, 202, 979, 595, 328, 2155, 26, 5309, 445, 686, 32, 371, 81, 96, 81, 6057, 22805, 355, 202, 784, 32, 6549, 26, 1206, 9643, 445, 686, 32, 371, 81, 2592, 81, 681, 26, 91, 27, 438, 1665, 27, 357, 202, 1731, 280, 9643, 445, 686, 32, 267, 81, 371, 81, 1731, 1162, 34, 33702, 357, 202 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 2, 4, 3, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 5, 4, 5, 3, 2, 2, 4, 4, 5, 6, 5, 4, 4, 9, 8, 9, 9, 7, 7, 8, 8, 8, 8, 5, 5, 9, 8, 9, 9, 7, 7, 8, 8, 5, 5, 9, 8, 9, 7, 7, 9, 10, 10, 10, 9, 5, 5, 9, 8, 9, 7, 7, 9, 10, 8, 9, 3, 3, 4, 4, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 7, 7, 9, 9, 5, 5, 9, 8, 9, 7, 7, 8, 9, 5, 5, 9, 8, 9, 7, 7, 9, 11, 11, 11, 11, 5, 5, 9, 8, 9, 8, 14, 13, 14, 12, 13, 13, 13, 12, 14, 13, 14, 12, 11, 10, 5, 5, 8, 8, 8, 7, 7, 9, 10, 10, 9, 11, 10, 11, 9, 5, 5, 9, 8, 9, 8, 11, 11, 11, 10, 11, 11, 11, 10, 8, 9, 8, 5, 5, 9, 8, 9, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 8, 9, 8, 5, 5, 8, 8, 7, 7, 9, 10, 10, 9, 10, 9, 9, 10, 10, 9, 5, 5, 8, 7, 7, 10, 9, 10, 10, 10, 9, 5, 5, 6, 6, 8, 9, 8, 8, 9, 10, 10, 10, 8, 6, 6, 10, 9, 9, 11, 12, 12, 12, 11, 5, 5, 9, 8, 9, 8, 9, 8, 8, 9, 9, 8, 5, 5, 9, 8, 9, 8, 11, 11, 11, 10, 11, 11, 11, 10, 8, 9, 8, 5, 5, 9, 8, 9, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 8, 9, 8, 5, 5, 10, 9, 10, 8, 9, 8, 10, 9, 11, 10, 11, 11, 11, 11, 11, 8, 5, 5, 9, 8, 9, 9, 9, 9, 9, 8, 5, 5, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 5, 5, 9, 8, 9, 8, 10, 9, 9, 10, 8, 5, 5, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 5, 5, 9, 8, 9, 8, 10, 9, 9, 10, 8, 5, 5, 6, 6, 6, 6, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 6, 6, 11, 10, 11, 10, 11, 11, 15, 15, 14, 15, 15, 15, 15, 15, 14, 15, 14, 12, 12, 10, 5, 5, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 11, 10, 5, 5 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 4, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 1, 2, 2, 8, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 10, 10, 1, 1, 1, 1, 3, 2, 2, 2, 1, 10, 10, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 20, 20, 20, 20, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 20, 20, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4 ]
[ 465, 2361, 203, 465, 15798, 203, 1070, 7395, 14510, 1188, 323, 36, 83, 81, 6949, 203, 1070, 15798, 1188, 7116, 23093, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 42986, 1188, 35890, 81, 29260, 203, 1070, 8527, 32, 2304, 32, 25931, 32, 21332, 1188, 2155, 203, 1070, 4377, 858, 81, 605, 1188, 2108, 750, 13976, 203, 1270, 44, 284, 645, 8527, 32, 2304, 32, 25931, 32, 21332, 1188, 281, 14686, 274, 619, 19571, 203, 7343, 29986, 44, 284, 1188, 19571, 203, 325, 35890, 81, 29260, 44, 284, 645, 8527, 32, 12023, 32, 21031, 32, 42986, 1188, 308, 65, 4270, 9518, 30, 546, 4270, 17131, 620, 30, 291, 34865, 984, 30, 546, 4270, 1284, 924, 30, 36413, 3564, 30, 16504, 4859, 30, 291, 34865, 81, 4530, 27, 203, 50, 5961, 23093, 26, 21415, 81, 29260, 30, 313, 29260, 438, 2129, 657, 203, 823, 546, 4270, 17131, 1006, 26, 18986, 32, 7233, 30, 2108, 750, 13976, 711, 284, 313, 2272, 3312, 322, 546, 4270, 21461, 3107, 284, 665, 894, 81, 12316, 681, 26, 784, 711, 291, 313, 10855, 546, 4270, 17131, 620, 1300, 3107, 291, 546, 4270, 17131, 620, 26, 35, 27, 291, 546, 4270, 17131, 620, 26, 41, 27, 291, 546, 4270, 17131, 620, 463, 1493, 683, 291, 546, 4270, 17131, 620, 463, 9518, 6174, 716, 64, 683, 291, 546, 4270, 17131, 620, 463, 7720, 87, 846, 1392, 683, 291, 546, 4270, 17131, 620, 463, 5842, 683, 291, 630, 32, 23895, 26, 29260, 984, 30, 546, 4270, 17131, 620, 30, 225, 36, 37, 27, 291, 630, 32, 23895, 26, 29260, 984, 30, 546, 4270, 17131, 620, 30, 330, 3986, 54, 683, 291, 630, 32, 23895, 26, 29260, 984, 30, 546, 4270, 17131, 620, 30, 225, 43, 27, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 26, 35, 471, 546, 4270, 17131, 620, 26, 35, 490, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 26, 41, 471, 330, 9518, 2256, 683, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 463, 1493, 1425, 330, 9864, 683, 291, 630, 32, 31196, 1324, 26, 65, 4270, 17131, 620, 463, 1493, 1425, 225, 36, 27, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 463, 6876, 1425, 225, 34, 27, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 26, 40, 471, 330, 12769, 5690, 8367, 57, 567, 683, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 26, 35, 471, 546, 4270, 17131, 620, 463, 1493, 2847, 291, 630, 32, 31196, 1324, 26, 65, 4270, 17131, 620, 463, 9864, 1425, 546, 4270, 17131, 620, 26, 40, 490, 291, 630, 32, 5299, 463, 1943, 1176, 370, 546, 4270, 17131, 620, 463, 1943, 1814, 11025, 27, 291, 630, 32, 5299, 463, 9518, 1176, 370, 546, 4270, 17131, 620, 463, 9518, 1814, 11025, 27, 291, 630, 32, 5299, 463, 9518, 1176, 370, 546, 4270, 17131, 620, 463, 5842, 1814, 11025, 27, 291, 630, 32, 25839, 2521, 26, 65, 4270, 17131, 620, 463, 4108, 1814, 11025, 27, 291, 15974, 280, 546, 4270, 17131, 620, 463, 9518, 683, 291, 630, 32, 5299, 26, 34, 30, 15974, 32, 1516, 27 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 4, 5, 3, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 5, 4, 5, 4, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 3, 5, 3, 3, 5, 5, 5, 3, 3, 5, 3, 3, 5, 3, 3, 3, 5, 5, 3, 0, 2, 4, 4, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 5, 4, 5, 3, 3, 4, 4, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 9, 8, 5, 5, 8, 8, 8, 8, 9, 8, 5, 5, 8, 8, 8, 8, 10, 10, 5, 5, 8, 8, 8, 8, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 10, 10, 5, 5, 8, 9, 8, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 5, 5, 8, 9, 8, 9, 9, 8, 8, 9, 9, 9, 8, 8, 10, 10, 10, 5, 5, 8, 9, 8, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 8, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 11, 10, 8, 10, 10, 10, 10, 11, 10, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 11, 10, 8, 10, 10, 10, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 12, 12, 8, 10, 10, 5, 5, 8, 9, 9, 8, 10, 10, 10, 10, 10, 12, 12, 8, 9, 8, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 12, 12, 8, 9, 8, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 11, 10, 8, 10, 10, 10, 10, 10, 10, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 11, 10, 8, 10, 10, 10, 10, 12, 12, 5, 5, 8, 9, 9, 8, 10, 10, 10, 10, 10, 12, 12, 8, 10, 10, 10, 10, 11, 10, 5, 5, 8, 9, 8, 10, 10, 10, 8, 11, 11, 11, 11, 13, 13, 10, 8, 5, 5, 8, 9, 8, 10, 10, 10, 8, 11, 11, 11, 11, 13, 13, 10, 8, 5, 5, 8, 9, 8, 10, 10, 10, 8, 11, 11, 11, 11, 13, 13, 10, 8, 5, 5, 8, 9, 9, 8, 11, 11, 11, 11, 11, 13, 13, 10, 8, 5, 5, 7, 7, 9, 9, 9, 9, 11, 11, 5, 5, 8, 9, 8, 9, 8, 8, 9, 10, 8 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 7, 7, 7, 7, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 3, 3, 7, 3, 3, 3, 3, 3, 0, 0, 8, 8, 1, 1, 8, 8, 8, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1 ]
[ 1070, 6325, 1188, 766, 275, 617, 1521, 81, 311, 4742, 1247, 619, 1289, 81, 3592, 30, 766, 275, 617, 5074, 81, 28497, 81, 267, 30, 766, 275, 11246, 30, 766, 275, 47119, 81, 5691, 81, 267, 9841, 275, 7116, 81, 325, 9841, 275, 8158, 81, 267, 9841, 275, 8158, 81, 267, 81, 47020, 81, 7343, 203, 465, 6325, 203, 465, 5237, 203, 589, 665, 530, 444, 81, 15106, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 5704, 21254, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 7534, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 34959, 1364, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 829, 203, 589, 19367, 81, 3494, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 14107, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 829, 203, 589, 707, 28959, 81, 12977, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 5704, 21254, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 11115, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 7534, 370, 330, 1206, 5420, 810, 3500, 1425, 284, 829, 203, 589, 1905, 81, 748, 81, 23483, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 5704, 21254, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 11115, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 34959, 1364, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 5815, 1439, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 1449, 1199, 370, 330, 6438, 1023, 44, 6144, 646, 5420, 810, 3500, 1425, 284, 829, 203, 589, 10625, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 5704, 21254, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 11115, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 19577, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 5815, 1439, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 829, 203, 589, 16371, 81, 6711, 1734, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 34959, 1364, 29, 978, 36871, 370, 330, 1347, 5398, 2193, 1425, 291, 1289, 81, 3592, 463, 34959, 1364, 29, 7773, 36871, 370, 330, 1347, 5398, 2193, 1425, 291, 829, 203, 589, 16371, 81, 16717, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 14107, 370, 330, 1347, 5398, 2193, 1425, 291, 11246, 463, 34959, 1364, 370, 44091, 308, 43, 30, 225, 34, 30, 225, 34, 471, 400, 330, 3553, 4226, 225, 36, 34, 34, 39, 29, 438, 2129, 436, 16371 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 2, 1, 4, 4, 4, 4, 4, 2, 2, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 2, 1, 3, 3, 1, 2, 1, 3, 3, 1, 2, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 5, 5, 7, 9, 9, 9, 7, 7, 9, 8, 8, 9, 8, 8, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]	[ 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 18, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 5237, 203, 1070, 894, 1188, 2193, 30, 1149, 81, 4882, 203, 823, 1682, 1006, 26, 668, 81, 4882, 32, 5240, 1006, 711, 284, 827, 36, 858, 280, 1149, 284, 665, 894, 81, 6390, 26, 784, 711, 291, 630, 32, 5299, 26, 668, 7486, 471, 11544, 291, 456, 34, 81, 37, 280, 428, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 79, 291, 456, 34, 81, 37, 81, 28367, 280, 1149, 26, 94, 34, 81, 37, 27, 291, 630, 32, 5299, 26, 94, 34, 81, 37, 30, 456, 34, 81, 37, 81, 28367, 27, 291, 630, 32, 6549, 26, 94, 34, 81, 37, 438, 646, 456, 34, 81, 37, 81, 28367, 27, 291, 630, 32, 5299, 26, 668, 4114, 471, 11544, 291, 630, 32, 5299, 26, 668, 1162, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 3662, 428, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 1130, 291, 630, 32, 5299, 26, 668, 463, 1425, 11544, 291, 630, 32, 5299, 26, 668, 463, 35354, 1425, 2107, 101, 370, 330, 98, 370, 330, 83, 370, 330, 95, 3490, 291, 415, 5237, 32, 1449, 891, 610, 225, 34, 106, 41, 22499, 44, 324, 630, 32, 23895, 26, 5017, 924, 30, 1149, 30, 2155, 26, 3731, 32, 1449, 891, 434, 225, 36, 490, 291, 816, 280, 1605, 291, 816, 32, 8233, 3736, 107, 436, 533, 328, 816, 27, 291, 630, 32, 5299, 26, 106, 30, 11544, 284, 665, 894, 81, 22390, 26, 784, 711, 291, 2599, 922, 858, 81, 22390, 346, 291, 630, 32, 6549, 26, 1206, 11544, 291, 630, 32, 6549, 2009, 38, 36, 1130, 284, 665, 894, 81, 8543, 26, 784, 711, 291, 630, 32, 6549, 7486, 438, 646, 11544, 284, 665, 894, 81, 1657, 26, 784, 711, 291, 2599, 922, 858, 81, 1657, 346, 291, 630, 32, 5299, 26, 1657, 7486, 471, 225, 34, 27, 291, 630, 32, 5299, 26, 1657, 2009, 34, 5727, 225, 35, 27, 291, 630, 32, 5299, 26, 1657, 2009, 34, 30, 225, 35, 30, 225, 36, 5727, 225, 37, 27, 284, 665, 894, 81, 9642, 26, 784, 711, 291, 20265, 280, 428, 38, 30, 225, 39, 30, 225, 40, 30, 225, 41, 79, 291, 310, 280, 629, 1162, 3731, 32, 1449, 891, 28, 36, 29, 36, 27, 434, 2069, 26, 9980, 490, 291, 665, 17476, 26, 83, 30, 323, 711, 442, 312, 319, 323, 291, 665, 3960, 338, 26, 83, 30, 323, 711, 312, 10439, 323, 291, 630, 32, 23895, 1162, 5017, 924, 30, 35207, 924, 471, 17476, 30, 20265, 30, 310, 27, 291, 630, 32, 23895, 1162, 5017, 924, 30, 35207, 924, 471, 3960, 338, 30, 20265, 30, 310, 27, 203, 589, 894, 81, 1831, 26, 10529, 47, 2521, 711, 284, 2193, 32, 1945, 81, 18986, 26, 720, 1006, 27, 284, 1188, 5237, 284, 415, 9541, 461, 19326, 26, 3731, 30, 313, 371, 2999, 612, 998, 10280, 291, 1188, 16951, 291, 15172, 280, 428, 2521, 79, 319, 225, 39, 291, 436, 595, 328, 2155, 26, 1657, 26, 10410, 8531, 324, 2193, 32, 1945, 81, 18986, 26, 720, 1006, 27, 324 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 7, 4, 4, 7, 7, 7, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 7, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 11, 7, 4, 4, 7, 8, 7, 9, 9, 11, 11, 7, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 4, 4, 5, 7, 8, 8, 6, 6, 7, 7, 7, 7, 5, 5, 5, 9, 10, 9, 10, 10, 9, 9, 9, 9, 11, 14, 13, 14, 14, 12, 12, 13, 11, 4, 4, 6, 6, 4, 4, 7, 8, 7, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 4, 4, 7, 8, 7, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 11, 10, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 6, 6, 8, 14, 13, 14, 14, 12, 13, 11, 12, 10, 9, 9, 11, 12, 11, 4, 4, 5, 6, 7, 6, 6, 6, 5, 7, 8, 8, 4, 4, 5, 6, 6, 7, 6, 6, 6, 5, 8, 8, 4, 4, 7, 8, 7, 9, 9, 8, 8, 9, 8, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 8, 8, 9, 8, 7, 8, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 6, 6, 6, 5, 6, 6, 5, 2, 2, 3, 2, 2, 3, 4, 4, 6, 7, 6, 6, 8, 8, 8, 8, 8, 3, 3, 5, 4, 4, 6, 6, 9, 8, 7, 7, 8, 4, 4, 5, 5, 5, 7, 9, 9, 10, 9, 5, 5, 9, 10, 10, 10, 9, 10, 10, 9, 6 ]	[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 4, 4, 9, 0, 2, 2, 1, 1, 2, 2, 2, 2, 9, 9, 9, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 4, 4, 0, 0, 4, 4, 0, 2, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 3, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 4, 4, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 3, 3, 0, 0, 1, 0, 2, 2, 2, 3, 3, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 5 ]
[ 465, 20717, 203, 823, 8353, 32095, 5378, 26, 8183, 32, 1319, 3103, 2281, 711, 334, 665, 3611, 5584, 26, 6933, 711, 284, 5547, 81, 4890, 280, 7286, 23, 101, 505, 9436, 20, 904, 9011, 3667, 426, 505, 284, 442, 308, 6933, 3667, 426, 9818, 15990, 440, 5584, 657, 556, 324, 19326, 26, 6933, 30, 5547, 81, 4890, 490, 334, 665, 1156, 1664, 3207, 6933, 30, 636, 30, 26394, 30, 4533, 81, 2665, 711, 284, 20717, 32, 1319, 3103, 2281, 3667, 1664, 3207, 6933, 30, 636, 30, 26394, 30, 4533, 81, 2665, 27, 284, 415, 646, 9011, 32, 1622, 5584, 2262, 397, 436, 1695, 328, 26394, 44, 291, 1596, 44, 616, 9011, 32, 4820, 280, 1695, 32, 4820, 616, 9011, 32, 4820, 81, 1170, 81, 426, 280, 1695, 32, 4820, 81, 1170, 81, 426, 616, 9011, 32, 2796, 81, 3274, 280, 1695, 32, 2796, 81, 3274, 616, 9011, 32, 1393, 81, 2649, 81, 823, 280, 1695, 32, 1393, 81, 2649, 81, 823, 616, 1626, 291, 2940, 29316, 44, 616, 3097, 397, 1596, 44, 291, 415, 9011, 32, 4820, 461, 9011, 3667, 426, 505, 328, 9011, 32, 4820, 44, 616, 3636, 26405, 440, 18017, 4467, 436, 10416, 6015, 44, 904, 101, 30, 904, 101, 20, 904, 6035, 308, 6933, 30, 9011, 32, 4820, 77, 6933, 3667, 426, 505, 5259, 291, 9011, 32, 4820, 77, 6933, 3667, 426, 505, 79, 280, 9011, 291, 9011, 32, 4820, 81, 1170, 81, 426, 77, 32110, 26, 6933, 30, 313, 426, 392, 1665, 2177, 280, 9011, 397, 2940, 29316, 44, 291, 9011, 32, 4820, 280, 301, 6933, 3667, 426, 26927, 9011, 111, 291, 9011, 32, 4820, 81, 1170, 81, 426, 280, 301, 32110, 26, 6933, 30, 313, 426, 392, 1665, 711, 9011, 111, 291, 9011, 32, 2796, 81, 3274, 280, 9011, 3667, 426, 505, 291, 9011, 32, 1393, 81, 2649, 81, 823, 280, 9011, 284, 813, 44, 397, 436, 1695, 328, 26394, 44, 291, 1596, 44, 616, 9011, 32, 4820, 280, 1695, 32, 4820, 616, 9011, 32, 4820, 81, 1170, 81, 426, 280, 1695, 32, 4820, 81, 1170, 81, 426, 616, 1626, 291, 2940, 29316, 44, 616, 3097, 397, 415, 646, 19326, 26, 6933, 30, 313, 4820, 10280, 291, 9011, 32, 4820, 280, 2149, 397, 415, 646, 19326, 26, 6933, 30, 313, 4820, 81, 1170, 81, 426, 10280, 291, 9011, 32, 4820, 81, 1170, 81, 426, 280, 2149, 334, 665, 1390, 4152, 26, 6933, 30, 636, 711, 284, 442, 9011, 32, 4820, 77, 426, 79, 203, 823, 3903, 5378, 26, 3358, 32095, 5378, 711, 334, 8452, 81, 2474, 81, 5834, 280, 2149, 334, 8452, 69, 280, 1605, 334, 665, 1156, 1664, 3207, 6933, 30, 636, 30, 26394, 30, 4533, 81, 2665, 711, 284, 8353, 32095, 5378, 3667, 1664, 3207, 6933, 30, 636, 30, 26394, 30, 4533, 81, 2665, 27, 284, 415, 646, 9011, 32, 1622, 5584, 2262, 397, 436, 7050, 328, 9011, 32, 25459, 44, 291, 3903, 5378, 32, 8055, 81, 2474, 81, 5834, 32, 37329, 26, 5092, 30, 739, 4251, 669, 26, 6933, 27, 203, 823, 399, 1139, 38, 4055, 5378, 26, 3358, 32095, 5378, 711, 334, 506 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 4, 4, 5, 11, 10, 11, 11, 10, 9, 11, 11, 7, 7, 7, 9, 10, 9, 9, 10, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 7, 4, 4, 5, 6, 8, 9, 9, 8, 5, 5, 7, 7, 7, 7, 7, 7, 9, 9, 9, 13, 14, 12, 12, 13, 14, 10, 10, 13, 14, 14, 14, 14, 14, 12, 12, 13, 14, 14, 14, 14, 14, 10, 10, 13, 14, 14, 14, 12, 12, 13, 14, 14, 14, 10, 10, 13, 14, 14, 14, 14, 14, 12, 12, 13, 14, 14, 14, 14, 14, 10, 10, 9, 9, 10, 10, 10, 10, 6, 6, 7, 7, 7, 9, 11, 12, 10, 10, 12, 13, 13, 11, 11, 12, 13, 9, 9, 9, 11, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 14, 16, 15, 15, 17, 18, 16, 18, 17, 18, 18, 16, 8, 8, 12, 13, 11, 13, 12, 13, 13, 11, 10, 10, 8, 8, 12, 13, 13, 13, 13, 13, 11, 13, 13, 14, 13, 13, 15, 15, 13, 13, 10, 10, 7, 7, 8, 8, 8, 8, 12, 13, 11, 11, 15, 14, 15, 15, 13, 12, 9, 9, 12, 13, 13, 13, 13, 13, 11, 11, 15, 15, 16, 15, 15, 17, 17, 15, 15, 13, 12, 9, 9, 12, 13, 13, 13, 11, 11, 12, 13, 13, 9, 9, 12, 13, 13, 13, 13, 13, 11, 11, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10, 10, 14, 15, 13, 13, 14, 15, 11, 11, 14, 15, 15, 15, 15, 15, 13, 13, 14, 15, 15, 15, 15, 15, 11, 11, 10, 10, 11, 11, 11, 11, 7, 7, 8, 9, 11, 12, 11, 11, 13, 13, 8, 8, 12, 13, 11, 11, 7, 7, 8, 9, 11, 12, 11, 11, 13, 13, 13, 13, 13, 13, 8, 8, 12, 13, 13, 13, 13, 13, 11, 11, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 7, 6, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 7, 4, 4, 5, 6, 8, 9, 9, 8, 5, 5, 7, 7, 7, 8, 9, 7, 7, 7, 15, 14, 15, 15, 15, 15, 15, 13, 14, 13, 14, 13, 13, 15, 12, 11, 12, 11, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1 ]	[ 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 4, 4, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 3, 0, 2, 2, 2, 3, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 3, 3, 3, 3, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 2, 2, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 4, 4, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3 ]
[ 465, 2361, 203, 465, 5741, 203, 465, 2322, 203, 1070, 2361, 1188, 3398, 8770, 203, 1070, 5941, 2518, 32, 1163, 1188, 3649, 81, 1163, 203, 1070, 5941, 2518, 81, 4554, 1188, 18794, 5142, 4888, 203, 1070, 5941, 2518, 32, 3592, 1188, 21536, 203, 823, 11950, 8770, 26, 3265, 8770, 711, 284, 665, 1244, 26, 784, 30, 337, 711, 291, 442, 337, 3667, 2665, 505, 203, 589, 16469, 81, 1648, 26, 1648, 711, 284, 442, 5608, 2473, 2524, 26, 1648, 32, 2998, 36909, 2867, 36, 1130, 415, 1503, 438, 646, 1665, 813, 4247, 203, 589, 622, 6777, 26, 10447, 30, 1519, 47, 2521, 711, 284, 1188, 5237, 284, 415, 308, 500, 32, 983, 32, 4658, 26, 10447, 8531, 291, 5741, 32, 10579, 463, 3965, 2518, 1814, 1338, 26, 330, 7067, 330, 474, 11216, 27, 291, 442, 11216, 284, 15307, 280, 428, 500, 32, 23407, 463, 6961, 7143, 81, 43982, 370, 330, 5379, 12357, 284, 15307, 32, 8233, 2009, 500, 32, 983, 32, 2524, 26, 106, 1947, 5379, 683, 436, 816, 328, 5237, 32, 983, 415, 330, 3965, 2518, 25, 328, 816, 556, 4511, 308, 983, 438, 646, 1665, 461, 1519, 328, 816, 14829, 284, 436, 3668, 328, 15307, 44, 291, 537, 23490, 289, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 1850, 30, 11216, 490, 291, 415, 2322, 32, 983, 32, 4658, 26, 890, 23490, 289, 711, 324, 5741, 32, 10579, 463, 3965, 2518, 1814, 1338, 26, 330, 7067, 330, 474, 537, 23490, 289, 27, 324, 442, 537, 23490, 289, 203, 589, 6571, 81, 1536, 81, 2810, 26, 7428, 81, 8299, 711, 284, 442, 301, 93, 44, 104, 710, 1536, 853, 785, 436, 831, 30, 104, 328, 4212, 81, 8299, 32, 40957, 346, 415, 330, 1536, 853, 25, 328, 354, 111, 203, 823, 5412, 1653, 44, 284, 3048, 280, 1665, 284, 636, 280, 1665, 284, 827, 280, 1665, 284, 7373, 280, 1665, 284, 3395, 280, 1665, 284, 5750, 280, 1665, 284, 2078, 280, 1665, 284, 786, 280, 1665, 284, 2471, 280, 1665, 284, 21252, 1363, 280, 3177, 284, 1541, 280, 3177, 284, 4283, 280, 3177, 284, 22998, 47, 3177, 284, 1541, 681, 280, 1665, 284, 1244, 853, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 636, 26409, 827, 26409, 7373, 47, 2521, 30, 3395, 47, 2521, 30, 3048, 47, 2521, 30, 353, 2471, 47, 2521, 30, 786, 47, 2521, 30, 2078, 47, 2521, 30, 5750, 47, 2521, 30, 1541, 47, 2700, 30, 4283, 47, 2700, 30, 39526, 47, 1815, 30, 353, 1541, 681, 47, 2521, 30, 12436, 1363, 47, 2700, 30, 1536, 853, 280, 1665, 30, 1017, 11676, 1734, 47, 2700, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 681, 280, 827, 291, 630, 32, 14663, 280, 7373, 291, 630, 32, 5609, 280, 3395, 291, 630, 32, 2310, 280, 3048, 291, 630, 32, 5275, 280, 5750, 291, 630, 32, 2810, 280, 2078, 291, 630, 32, 853, 280, 786, 291, 630, 32, 11722, 280, 2471, 291, 630, 32, 1251, 280, 1541, 291, 630, 32, 12360, 280, 4283, 291, 630, 32, 39526, 280, 22998, 291, 630, 32 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 8, 7, 6, 10, 9, 10, 9, 7, 9, 7, 4, 4, 5, 5, 5, 4, 4, 0, 1, 1, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 2, 2, 3, 8, 7, 8, 6, 7, 6, 7, 6, 3, 3, 9, 10, 9, 11, 11, 11, 8, 7, 7, 10, 10, 8, 8, 7, 4, 4, 5, 2, 2, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 2, 2, 5, 6, 5, 10, 9, 10, 8, 9, 8, 9, 8, 10, 10, 6, 7, 7, 7, 8, 9, 6, 7, 11, 11, 11, 9, 9, 8, 8, 8, 12, 11, 11, 11, 10, 10, 11, 11, 9, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 10, 10, 10, 4, 4, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 5, 5, 11, 12, 11, 13, 13, 13, 10, 9, 9, 12, 12, 10, 10, 11, 11, 9, 6, 6, 7, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 6, 5, 7, 6, 8, 8, 8, 4, 5, 6, 7, 5, 5, 8, 8, 7, 8, 7, 4, 5, 8, 8, 8, 6, 6, 4, 0, 1, 1, 2, 1, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 5, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 6, 6, 5, 6, 4, 6, 6, 5, 5, 4, 6, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 1, 2, 7, 7, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 9, 9, 1, 2, 1, 2, 2, 3, 2, 2, 9, 9, 0, 4, 4, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 2, 1, 3, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 3, 1, 1, 2, 1, 1, 1, 0, 11, 11, 1, 11, 11, 11, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 15, 1, 1, 1, 2, 2, 3, 2, 5, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 2, 17, 2, 2, 2, 19, 2, 2, 2, 21, 2, 2, 2, 23, 2, 2, 0, 25, 2, 2, 2, 2, 0, 27, 2, 2, 0, 0, 29, 2, 2, 0, 0, 31, 31, 2, 0, 0, 0, 33, 2, 2, 15, 15, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0 ]
[ 465, 15798, 203, 1070, 32714, 107, 32, 3550, 1188, 3772, 2963, 203, 1070, 32714, 107, 32, 2304, 32, 2957, 1188, 1968, 81, 2292, 81, 668, 30, 39529, 81, 452, 81, 2665, 203, 823, 5238, 1722, 720, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1832, 81, 2665, 26, 784, 711, 291, 343, 280, 5053, 658, 950, 225, 35, 30, 330, 8268, 950, 1665, 30, 330, 12192, 950, 225, 42, 30, 330, 17483, 950, 225, 38, 111, 291, 630, 32, 5299, 26, 1832, 81, 2292, 81, 668, 26, 86, 30, 4483, 47, 5962, 816, 44, 816, 471, 656, 2107, 658, 370, 330, 17483, 370, 330, 12192, 3490, 284, 665, 894, 81, 21752, 81, 14600, 81, 1832, 81, 2665, 26, 784, 711, 291, 1695, 280, 5053, 658, 950, 225, 35, 30, 330, 8268, 950, 225, 36, 30, 330, 12192, 950, 225, 37, 30, 330, 21929, 950, 225, 39, 30, 330, 25931, 950, 1665, 111, 291, 3115, 280, 5053, 8268, 950, 1665, 30, 330, 12192, 950, 225, 42, 30, 330, 17483, 950, 225, 38, 111, 291, 630, 32, 5299, 26, 1832, 81, 2292, 81, 668, 26, 1439, 30, 3115, 30, 13588, 4483, 47, 5962, 816, 44, 816, 471, 656, 2107, 658, 370, 330, 17483, 370, 330, 21929, 370, 330, 12192, 3490, 284, 665, 894, 81, 601, 81, 668, 26, 784, 711, 291, 3115, 280, 2107, 83, 370, 330, 84, 370, 330, 85, 785, 291, 630, 32, 5299, 26, 1832, 81, 2292, 81, 668, 26, 2521, 30, 3115, 30, 13588, 4483, 47, 5962, 816, 44, 816, 471, 656, 3115, 27, 284, 665, 894, 81, 1110, 81, 2665, 26, 784, 711, 291, 3115, 280, 5053, 658, 950, 225, 35, 30, 330, 8268, 950, 225, 36, 30, 330, 12192, 950, 225, 37, 111, 291, 630, 32, 5299, 26, 1832, 81, 2292, 81, 668, 15266, 3115, 30, 13588, 4483, 47, 5962, 816, 44, 816, 32, 7607, 6182, 656, 2107, 4431, 370, 330, 36412, 370, 330, 1781, 7722, 3490, 284, 665, 894, 81, 1110, 81, 668, 26, 784, 711, 291, 3115, 280, 2107, 83, 370, 330, 84, 370, 330, 85, 785, 291, 630, 32, 5299, 26, 1832, 81, 2292, 81, 668, 26, 2521, 30, 3115, 30, 13588, 9254, 816, 44, 816, 32, 7607, 6182, 656, 2107, 51, 370, 330, 52, 370, 330, 53, 3490, 284, 665, 894, 81, 19992, 81, 3527, 81, 266, 81, 2665, 26, 784, 711, 291, 12843, 81, 2665, 280, 5053, 658, 950, 225, 35, 30, 330, 8268, 950, 225, 36, 30, 330, 4431, 950, 225, 38, 111, 291, 630, 32, 23895, 26, 22239, 30, 1968, 81, 2292, 81, 668, 30, 6663, 12843, 81, 2665, 30, 3775, 4483, 47, 5962, 816, 44, 816, 32, 5729, 1157, 284, 665, 894, 81, 19992, 81, 3527, 81, 266, 81, 668, 26, 784, 711, 291, 12843, 81, 668, 280, 2107, 83, 370, 330, 84, 370, 330, 83, 785, 291, 630, 32, 23895, 26, 22239, 30, 1968, 81, 2292, 81, 668, 30, 1665, 30, 3775, 12843, 81, 668, 30, 4483, 47, 5962, 816, 44, 816, 27, 284, 665, 894, 81, 19992, 81, 3527, 81, 266, 81, 1439, 3550, 26, 784 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 8, 9, 7, 7, 10, 10, 8, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 9, 10, 11, 11, 11, 11, 9, 7, 7, 10, 10, 8, 10, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 7, 4, 4, 6, 6, 10, 10, 8, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 9, 7, 7, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 13, 14, 13, 7, 7, 10, 10, 8, 10, 10, 8, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 10, 10, 10, 12, 13, 12, 7, 7, 10, 10, 8, 10, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 8, 8, 7, 7, 7, 8, 8, 7, 7, 7, 8, 9, 9, 9, 9, 11, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 8, 8, 7, 7, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5 ]	[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 2, 2, 2, 1, 2, 7, 2, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 2, 4, 4, 0, 0, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 7, 7, 1, 1, 1, 9, 2, 2, 2, 2, 0, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 7, 7, 1, 1, 9, 2, 2, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1 ]
[ 465, 2361, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 30, 3139, 17696, 3665, 203, 465, 343, 2632, 203, 1070, 1359, 81, 3378, 32, 3378, 1188, 3320, 203, 1070, 46583, 81, 14250, 32, 3378, 1188, 1593, 5041, 5392, 2324, 203, 50, 583, 102, 32, 583, 102, 203, 823, 1593, 5041, 5392, 1006, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 74, 5041, 5392, 1006, 30, 630, 547, 23741, 346, 291, 1596, 44, 324, 630, 32, 965, 280, 10156, 463, 3078, 2167, 81, 5866, 683, 291, 2940, 3139, 17696, 3665, 44, 324, 630, 32, 5961, 1006, 463, 3078, 2167, 81, 5866, 3834, 438, 646, 9577, 683, 291, 3320, 32, 3815, 346, 284, 665, 894, 81, 3078, 2167, 81, 5866, 81, 7073, 26, 784, 711, 291, 630, 1114, 7799, 26, 2700, 27, 291, 1789, 280, 630, 1114, 944, 81, 1637, 346, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 38, 34, 38, 27, 284, 477, 583, 102, 32, 605, 26, 2521, 30, 2107, 264, 330, 614, 2107, 5769, 330, 330, 1130, 284, 665, 894, 81, 3078, 2167, 81, 5866, 81, 6565, 81, 1347, 81, 27421, 26, 784, 30, 33977, 711, 291, 630, 1114, 7799, 26, 1815, 30, 33977, 47, 27421, 27, 291, 1789, 280, 630, 1114, 944, 81, 1637, 346, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 38, 34, 38, 27, 284, 477, 583, 102, 32, 605, 26, 291, 308, 710, 2763, 32, 508, 2188, 2107, 2763, 32, 508, 16578, 291, 308, 710, 2763, 32, 508, 370, 330, 1113, 32, 2763, 32, 508, 2188, 2107, 2763, 32, 508, 370, 330, 1113, 32, 2763, 32, 508, 16578, 291, 308, 710, 261, 2280, 32, 508, 264, 330, 614, 2107, 2763, 32, 508, 16578, 291, 308, 710, 262, 5769, 330, 2763, 32, 508, 2188, 2107, 2763, 32, 508, 16578, 284, 829, 284, 477, 583, 102, 32, 15404, 284, 665, 894, 81, 3078, 2167, 81, 5866, 81, 6565, 81, 1793, 81, 27421, 26, 784, 30, 33977, 30, 2799, 81, 27421, 711, 291, 630, 1114, 7799, 26, 1815, 30, 33977, 47, 27421, 27, 291, 1789, 280, 630, 1114, 944, 81, 1637, 346, 291, 630, 1114, 1553, 81, 27421, 26, 1986, 30, 2799, 81, 27421, 27, 284, 665, 617, 7799, 26, 784, 30, 438, 81, 6565, 30, 33977, 47, 2521, 711, 291, 1359, 280, 1593, 5041, 5392, 2324, 32, 1700, 346, 291, 1359, 32, 6565, 280, 438, 81, 6565, 291, 415, 33977, 44, 324, 1359, 32, 27421, 280, 2706, 96, 2296, 2524, 26, 27421, 27, 291, 1359, 32, 2853, 346, 291, 3320, 32, 3815, 346, 284, 665, 617, 944, 81, 1637, 26, 784, 711, 291, 442, 630, 32, 1580, 32, 371, 26, 9833, 463, 3078, 2167, 81, 5866, 2847, 284, 665, 617, 1553, 81, 27421, 26, 784, 30, 1789, 30, 2799, 81, 27421, 711, 291, 14380, 81, 27421, 280, 2361, 32, 16958, 1371, 324, 5880, 44, 32448, 324, 436, 5880, 328, 2799, 81, 27421, 291, 1790, 291, 630, 32, 45100, 26, 1986, 30, 330, 3078, 2167, 32, 887 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 2, 4, 4, 3, 4, 4, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 4, 5, 6, 5, 4, 4, 10, 11, 11, 11, 11, 10, 10, 10, 9, 8, 5, 5, 6, 6, 6, 10, 11, 9, 9, 11, 13, 13, 13, 13, 13, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 5, 5, 8, 9, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 9, 8, 5, 5, 7, 7, 9, 10, 10, 10, 9, 5, 5, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 9, 9, 8, 3, 3, 8, 8, 7, 8, 7, 8, 7, 7, 10, 10, 8, 7, 10, 8, 10, 8, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 9, 10, 9, 10, 9, 9, 10, 11, 9, 6, 6, 8, 8, 10, 11, 11, 11, 10, 6, 6, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 10, 10, 9, 3, 3, 8, 8, 7, 8, 7, 7, 7, 9, 11, 11, 11, 11, 8, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 11, 11, 9, 8, 11, 11, 11, 11, 7, 7, 9, 11, 11, 9, 11, 11, 11, 11, 8, 11, 11, 11, 11, 7, 7, 4, 4, 7, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 7, 6, 5, 5, 9, 10, 9, 10, 9, 9, 10, 11, 9, 6, 6, 8, 8, 10, 11, 11, 11, 10, 6, 6, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 9, 3, 3, 4, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 7, 5, 4, 4, 7, 7, 10, 10, 10, 9, 10, 9, 5, 5, 8, 9, 7, 7, 8, 8, 5, 5, 6, 6, 6, 6, 10, 11, 9, 9, 14, 13, 12, 11, 12, 11, 5, 5, 8, 9, 8, 5, 5, 8, 9, 8, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 8, 9, 8, 10, 10, 12, 12, 12, 12, 12, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 5, 4, 4, 8, 8, 7, 7, 9, 10, 9, 10, 10, 11, 11, 10, 10, 11, 11, 11, 12, 12, 10, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10 ]	[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 6, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 3, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 6, 6, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1277, 21329, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 9101, 81, 639, 81, 2468, 203, 4021, 81, 2310, 44, 4784, 8522, 562, 4600, 2965, 43330, 544, 3940, 7578, 3113, 4122, 48593, 32, 203, 2310, 44, 284, 429, 4404, 870, 101, 461, 4653, 1196, 312, 562, 4600, 372, 600, 3497, 556, 2074, 32, 35307, 372, 2330, 397, 5183, 458, 438, 646, 600, 6107, 36477, 304, 1476, 30, 1259, 526, 3654, 372, 1755, 397, 3700, 1247, 1476, 458, 1412, 390, 26, 1293, 47, 2689, 27, 203, 1648, 81, 11043, 44, 330, 36, 32, 34, 25, 203, 2116, 44, 284, 429, 313, 35105, 1575, 624, 271, 100, 464, 11931, 86, 1373, 25856, 100, 464, 4731, 284, 429, 313, 24511, 1309, 488, 7776, 11931, 575, 775, 4731, 203, 2184, 44, 334, 4749, 81, 2468, 44, 284, 3048, 44, 397, 429, 5056, 4600, 2965, 32, 397, 429, 11526, 415, 390, 26, 1293, 47, 3596, 304, 27, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 5880, 44, 284, 3048, 44, 397, 429, 14063, 322, 4600, 2965, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 3984, 44, 284, 3048, 44, 397, 429, 8159, 322, 4600, 2965, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 43290, 44, 284, 3048, 44, 397, 429, 33545, 322, 4600, 2965, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 1503, 81, 11043, 44, 313, 36, 32, 36, 20, 334, 3497, 44, 284, 3048, 44, 397, 429, 9035, 322, 4600, 2965, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 2074, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 2074, 322, 4600, 2965, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 10790, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 10790, 328, 1510, 322, 4600, 2965, 438, 328, 32, 397, 429, 1670, 646, 739, 30, 1244, 10790, 438, 1654, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 17850, 81, 4396, 44, 284, 3048, 44, 397, 429, 30779, 2498, 13179, 6222, 3992, 1401, 11281, 32, 284, 2129, 44, 901, 284, 1244, 44, 861, 203, 9971, 81, 10270, 81, 9854, 44, 8668, 3034, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 20617, 332, 600, 4600, 2965, 16526, 40719, 1247, 203, 31, 2196, 81, 1141, 44, 284, 2297, 44, 9101, 81, 639, 81, 2468, 284, 3984, 44, 4300, 8159, 334, 3909, 44, 4749, 81, 2468, 334, 1412, 44, 1980, 32, 923, 81, 639, 438, 3469, 203, 21, 3645, 30168, 600, 4600, 2965, 203, 31, 2196, 81, 1141, 44, 284, 2297, 44, 9101, 81, 639, 81, 2468, 284, 4749, 81, 2468, 44, 225, 35, 32, 36, 32, 37, 32, 38, 284, 1603, 44, 40118, 203, 9592, 203, 10934, 280, 5881, 203, 1559, 203, 314, 44, 334, 3048, 44, 14294, 432, 322, 5056, 4600, 2965, 32, 334, 4717, 44, 3117, 334, 827, 44, 802, 334, 3964, 44, 312, 40, 88, 41, 83, 39, 3499, 31, 38, 37, 88, 42, 31, 35, 35, 87, 39, 31, 83, 35, 39 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]	[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 46512, 7550, 32, 12704, 81, 17055, 1188, 3619, 4071, 2219, 203, 589, 2575, 2262, 334, 17821, 280, 3619, 4071, 2219, 32, 17766, 440, 23416, 83, 657, 334, 16341, 280, 428, 17055, 32, 1428, 1881, 26, 34, 30, 225, 43, 30, 313, 7118, 22259, 91, 12032, 904, 595, 27, 436, 595, 328, 2155, 26, 34, 30, 225, 35, 34, 2177, 334, 399, 30, 551, 30, 390, 30, 475, 30, 516, 30, 506, 30, 570, 30, 677, 30, 439, 30, 971, 280, 16341, 334, 358, 100, 35, 280, 17821, 32, 1428, 1881, 26, 34, 30, 225, 35, 30, 313, 27429, 35, 657, 334, 358, 100, 36, 280, 17821, 32, 1428, 1881, 26, 34, 30, 225, 35, 30, 313, 27429, 36, 657, 334, 17821, 32, 1103, 26, 17055, 32, 1934, 31187, 26, 7118, 490, 334, 17821, 32, 1103, 26, 52, 2377, 225, 35, 27, 334, 17821, 32, 1103, 26, 54, 2377, 225, 35, 27, 334, 17821, 32, 1103, 26, 57, 2377, 225, 35, 27, 334, 17821, 32, 1103, 26, 51, 474, 225, 35, 34, 319, 516, 474, 225, 35, 34, 34, 319, 971, 474, 225, 35, 34, 34, 34, 319, 551, 474, 225, 35, 34, 34, 34, 34, 319, 551, 474, 225, 35, 34, 34, 34, 34, 34, 319, 516, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 506, 474, 1802, 516, 474, 225, 35, 34, 319, 971, 474, 225, 35, 34, 34, 319, 516, 474, 225, 35, 34, 34, 34, 319, 506, 474, 225, 35, 34, 34, 34, 34, 319, 570, 474, 225, 35, 34, 34, 34, 34, 34, 319, 399, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 506, 1802, 610, 506, 474, 225, 35, 34, 319, 516, 474, 225, 35, 34, 34, 319, 516, 474, 225, 35, 34, 34, 34, 319, 677, 474, 225, 35, 34, 34, 34, 34, 319, 439, 474, 225, 35, 34, 34, 34, 34, 34, 319, 506, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 551, 474, 225, 35, 34, 34, 34, 34, 34, 34, 34, 319, 358, 100, 35, 27, 334, 17821, 32, 1103, 26, 53, 474, 225, 35, 34, 319, 506, 474, 225, 35, 34, 34, 319, 677, 474, 225, 35, 34, 34, 34, 319, 399, 474, 225, 35, 34, 34, 34, 34, 319, 439, 474, 225, 35, 34, 34, 34, 34, 34, 319, 439, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 971, 474, 1802, 506, 474, 225, 35, 34, 319, 439, 474, 225, 35, 34, 34, 319, 551, 474, 225, 35, 34, 34, 34, 319, 475, 474, 225, 35, 34, 34, 34, 34, 319, 439, 474, 225, 35, 34, 34, 34, 34, 34, 319, 475, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 390, 474, 358, 100, 35, 1802, 610, 971, 474, 225, 35, 34, 319, 506, 474, 225, 35, 34, 34, 319, 399, 474, 225, 35, 34, 34, 34, 319, 506, 474, 225, 35, 34, 34, 34, 34, 319, 677, 474, 225, 35, 34, 34, 34, 34, 34, 319, 475, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 475, 474 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 2, 2, 4, 4, 8, 7, 8, 8, 7, 8, 7, 7, 8, 7, 7, 10, 10, 10, 10, 8, 8, 7, 5, 6, 6, 6, 8, 9, 8, 8, 9, 9, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 7, 6, 6, 7, 6, 6, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 7, 6, 6, 7, 6, 6, 8, 8, 8, 2, 2, 5, 6, 5, 8, 7, 8, 8, 7, 8, 7, 2, 2, 5, 6, 5, 7, 6, 6, 7, 5, 2, 2, 5, 6, 5, 7, 6, 6, 7, 5, 2, 2, 5, 6, 5, 7, 6, 6, 7, 5, 2, 2, 5, 6, 5, 20, 19, 19, 21, 21, 20, 20, 18, 18, 20, 20, 20, 19, 19, 17, 17, 19, 19, 19, 19, 18, 18, 16, 16, 18, 18, 18, 18, 18, 17, 17, 15, 15, 17, 17, 17, 17, 17, 17, 16, 16, 14, 14, 16, 16, 16, 16, 16, 16, 16, 15, 15, 13, 13, 13, 12, 12, 14, 14, 13, 13, 11, 11, 13, 13, 13, 12, 12, 10, 10, 12, 12, 12, 12, 11, 11, 9, 9, 11, 11, 11, 11, 11, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 8, 8, 6, 6, 6, 13, 13, 15, 15, 14, 14, 12, 12, 14, 14, 14, 13, 13, 11, 11, 13, 13, 13, 13, 12, 12, 10, 10, 12, 12, 12, 12, 12, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 5, 2, 2, 5, 6, 5, 21, 20, 20, 22, 22, 21, 21, 19, 19, 21, 21, 21, 20, 20, 18, 18, 20, 20, 20, 20, 19, 19, 17, 17, 19, 19, 19, 19, 19, 18, 18, 16, 16, 18, 18, 18, 18, 18, 18, 17, 17, 15, 15, 17, 17, 17, 17, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 15, 15, 14, 14, 12, 12, 14, 14, 14, 13, 13, 11, 11, 13, 13, 13, 13, 12, 12, 10, 10, 12, 12, 12, 12, 12, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 9, 9, 7, 7, 8, 8, 6, 6, 6, 13, 13, 15, 15, 14, 14, 12, 12, 14, 14, 14, 13, 13, 11, 11, 13, 13, 13, 13, 12, 12, 10, 10, 12, 12, 12, 12, 12, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 9, 9, 7 ]	[ 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 5, 5, 1, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 296, 31501, 203, 465, 3995, 203, 1070, 296, 31501, 32, 2304, 1188, 3995, 81, 800, 203, 1070, 296, 31501, 32, 21143, 1188, 2467, 81, 3734, 203, 1070, 5097, 98, 1978, 32, 12892, 32, 27357, 32, 14431, 81, 3038, 32, 14431, 81, 3038, 1188, 622, 81, 7948, 81, 3038, 81, 25478, 270, 81, 10969, 203, 1070, 5097, 98, 1978, 32, 12892, 32, 27357, 32, 7948, 81, 3038, 32, 7948, 81, 3038, 1188, 622, 81, 7948, 81, 3038, 203, 1070, 296, 31501, 32, 2304, 32, 2682, 81, 3855, 1188, 622, 81, 3855, 203, 1070, 5097, 98, 1978, 32, 12892, 32, 27357, 32, 7948, 81, 1357, 32, 7948, 81, 1357, 1188, 1930, 81, 7948, 81, 1357, 30, 1930, 81, 7948, 81, 3038, 203, 1070, 5097, 98, 1978, 32, 6380, 32, 496, 32, 13497, 1188, 1930, 81, 13497, 81, 1174, 203, 1070, 5097, 98, 1978, 32, 10599, 299, 32, 27357, 32, 13497, 81, 1174, 32, 13497, 81, 1174, 1188, 1930, 81, 13497, 81, 10969, 203, 1070, 5097, 98, 1978, 32, 9729, 32, 27357, 32, 15735, 81, 17972, 32, 15735, 81, 17972, 1188, 1930, 81, 15735, 81, 10969, 203, 589, 1389, 2262, 203, 202, 48020, 32, 470, 81, 496, 26, 48020, 32, 1199, 32, 371, 81, 3264, 463, 6380, 81, 12892, 81, 496, 2847, 203, 202, 325, 3995, 32, 3855, 346, 2511, 225, 34, 32, 40, 44, 357, 202, 3734, 280, 313, 20663, 18902, 372, 526, 551, 12088, 20, 357, 202, 979, 1259, 328, 1149, 26, 470, 2009, 100, 77, 34, 79, 436, 540, 328, 2467, 81, 3734, 32, 1945, 26, 3734, 47979, 1267, 1446, 603, 202, 325, 540, 77, 34, 79, 19, 347, 4754, 23821, 2867, 3855, 32, 21378, 26, 35, 30, 225, 39, 2177, 44, 355, 202, 1270, 44, 603, 202, 3434, 280, 296, 31501, 32, 371, 81, 1427, 26, 2682, 81, 13497, 81, 10969, 26, 762, 490, 603, 202, 3434, 32, 1526, 299, 81, 770, 280, 296, 31501, 32, 4545, 32, 1700, 81, 770, 603, 202, 979, 343, 328, 7065, 32, 371, 440, 3028, 10280, 577, 202, 325, 646, 343, 32, 24022, 81, 3524, 44, 1379, 202, 86, 32, 24022, 81, 3524, 280, 313, 14837, 429, 16531, 1643, 26, 48020, 32, 1199, 32, 371, 81, 853, 463, 12309, 370, 7065, 32, 6604, 30, 330, 24312, 2847, 603, 202, 3434, 32, 3215, 346, 603, 202, 3434, 32, 4737, 346, 603, 202, 48020, 32, 1199, 32, 3375, 346, 355, 202, 7343, 296, 31501, 32, 24536, 44, 603, 202, 4617, 203, 202, 325, 3995, 32, 3855, 346, 2511, 225, 34, 32, 40, 44, 357, 202, 3734, 280, 313, 10916, 18902, 372, 526, 551, 12088, 20, 357, 202, 979, 1148, 328, 1149, 26, 470, 2009, 100, 77, 34, 79, 436, 540, 328, 2467, 81, 3734, 32, 1945, 26, 3734, 47979, 1267, 1446, 355, 202, 325, 540, 77, 34, 79, 19, 347, 4754, 23821, 2867, 3855, 32, 21378, 26, 35, 30, 225, 39, 2177, 44, 355, 202, 1270, 44, 603, 202, 1295, 280, 296, 31501, 32, 371, 81, 1427, 26, 2682, 81, 15735, 81, 10969, 26, 777, 490, 603 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 1, 1, 6, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 3, 6, 7, 6, 4, 4, 5, 5, 5, 3, 3, 3, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 8, 10, 10, 13, 12, 13, 12, 11, 12, 12, 12, 16, 16, 15, 16, 15, 16, 15, 15, 15, 11, 11, 12, 12, 14, 15, 14, 13, 13, 15, 15, 6, 10, 9, 10, 9, 10, 9, 9, 10, 9, 5, 5, 5, 7, 7, 7, 7, 11, 10, 10, 13, 12, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 15, 14, 8, 8, 12, 11, 12, 12, 12, 12, 10, 10, 13, 12, 13, 11, 12, 12, 12, 8, 8, 9, 9, 9, 9, 11, 12, 11, 13, 13, 9, 9, 11, 11, 12, 13, 14, 14, 14, 11, 11, 11, 16, 15, 16, 16, 16, 14, 14, 18, 18, 18, 17, 16, 20, 19, 20, 18, 19, 19, 19, 18, 20, 20, 18, 19, 20, 18, 18, 20, 20, 8, 8, 12, 11, 12, 11, 8, 8, 12, 11, 12, 11, 8, 8, 13, 12, 13, 11, 12, 11, 7, 7, 8, 8, 10, 9, 10, 8, 8, 8, 10, 2, 2, 3, 3, 6, 7, 6, 4, 4, 5, 5, 5, 3, 3, 3, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 8, 10, 10, 13, 12, 13, 12, 11, 12, 12, 12, 16, 16, 15, 16, 15, 16, 15, 15, 15, 11, 11, 12, 12, 14, 15, 14, 13, 13, 15, 15, 6, 10, 9, 10, 9, 10, 9, 9, 10, 9, 5, 5, 5, 7, 7, 7, 7, 11, 10, 10, 13, 12, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 15, 14, 8 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 4, 4, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 0, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 10, 10, 0, 0, 0, 0, 0, 11, 11, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 11, 11, 0, 0, 0, 0, 0, 12, 12, 2, 12, 12, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 2, 0, 1, 1, 1, 2, 3, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 3, 3, 0, 1, 2, 3, 3, 3, 0, 4, 4, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 2, 0, 1, 1, 1, 2, 3, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2 ]
[ 465, 2322, 203, 465, 316, 203, 1070, 622, 4617, 1188, 622, 4617, 203, 465, 14465, 203, 1070, 3619, 10185, 1188, 22158, 203, 465, 6985, 3922, 203, 465, 594, 41473, 983, 203, 589, 1420, 2262, 284, 6274, 280, 2149, 284, 1459, 440, 19016, 372, 322, 6274, 4726, 6389, 32, 1670, 30, 821, 1346, 3111, 30, 844, 5438, 14227, 313, 474, 616, 313, 1206, 372, 6612, 322, 8843, 2471, 30, 2258, 8977, 330, 6545, 25, 623, 312, 313, 474, 616, 313, 5006, 1600, 372, 4036, 7144, 284, 665, 4281, 81, 1357, 26, 869, 30, 5063, 1881, 30, 5063, 1612, 47, 2521, 711, 291, 1509, 280, 5081, 81, 1131, 26, 6008, 1881, 474, 10685, 7788, 291, 415, 1509, 44, 324, 415, 5063, 1612, 44, 400, 1509, 280, 5063, 1612, 26, 1131, 27, 324, 6274, 77, 869, 79, 280, 1509, 284, 4281, 81, 1357, 463, 2232, 81, 426, 370, 330, 3472, 636, 683, 284, 4281, 81, 1357, 463, 2135, 81, 426, 370, 330, 3267, 636, 683, 284, 1459, 5528, 96, 60, 41473, 5251, 1370, 570, 2200, 372, 3240, 15873, 32, 35454, 30, 313, 474, 616, 313, 9619, 883, 7116, 458, 3111, 308, 271, 2258, 5318, 328, 322, 4096, 2965, 415, 844, 313, 474, 616, 313, 13454, 372, 7768, 4096, 15873, 27, 461, 4705, 312, 17447, 14474, 313, 474, 616, 313, 3524, 30, 619, 821, 1913, 555, 40931, 2250, 32, 933, 32, 716, 33, 10270, 5681, 474, 616, 313, 12279, 7238, 2200, 14474, 5327, 96, 657, 284, 4281, 81, 1357, 463, 7253, 81, 2468, 370, 330, 57, 2200, 2965, 683, 284, 6274, 710, 7253, 81, 2895, 785, 280, 622, 4617, 346, 284, 665, 5063, 81, 2171, 26, 101, 711, 291, 442, 316, 32, 1113, 26, 100, 25, 12456, 34, 31, 43, 16249, 2550, 309, 27, 284, 9836, 81, 2171, 280, 5063, 81, 2171, 26, 1294, 81, 1131, 5528, 96, 7457, 1451, 308, 1347, 10769, 313, 474, 10631, 313, 687, 547, 6204, 9499, 4279, 556, 13922, 1098, 313, 474, 10631, 313, 864, 6556, 436, 844, 44, 29450, 284, 6274, 710, 5452, 81, 2171, 785, 280, 9836, 81, 2171, 284, 1459, 5528, 96, 7457, 42983, 308, 979, 11926, 1344, 15873, 547, 657, 284, 1459, 440, 2797, 844, 1159, 312, 15449, 9836, 1451, 30, 844, 883, 6612, 1591, 432, 322, 313, 474, 616, 313, 29206, 44, 330, 722, 24, 70, 370, 330, 4303, 425, 267, 370, 330, 70, 31, 11355, 25, 308, 12655, 322, 22002, 547, 313, 474, 616, 313, 2797, 1370, 42983, 7735, 1330, 14021, 556, 844, 1159, 600, 39262, 313, 474, 616, 313, 2171, 30, 1983, 372, 1913, 555, 1499, 32, 1935, 878, 6286, 32, 508, 461, 6612, 322, 313, 474, 616, 313, 1935, 12809, 436, 1370, 42983, 308, 87, 32, 89, 4317, 436, 676, 44738, 16966, 30, 6612, 313, 474, 616, 5335, 104, 775, 1551, 32, 508, 920, 436, 394, 31, 11355, 44796, 30, 6612, 330, 102, 31, 86, 35, 31, 19432, 32, 286, 1814, 657, 284, 42983, 280, 5081, 81, 1131, 463, 43514, 44, 11134, 284, 415, 42983, 610, 330, 722, 24, 70, 950, 291, 6274, 710, 37583, 785, 280, 330, 2760, 32, 3131, 32, 1299 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 4, 4, 2, 2, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 6, 5, 6, 4, 3, 3, 6, 6, 8, 8, 8, 10, 10, 9, 9, 11, 4, 4, 5, 5, 5, 5, 7, 8, 7, 7, 7, 10, 10, 12, 12, 13, 12, 6, 6, 9, 10, 9, 8, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 2, 2, 5, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 2, 2, 5, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 9, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 2, 2, 5, 7, 7, 7, 7, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 8, 8, 8, 8, 13, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 11, 11, 11, 11, 11, 11, 2, 2, 5, 7, 7, 7, 7, 4, 4, 5, 5, 2, 2, 5, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 6, 6, 6, 6, 3, 3, 7, 9, 9, 6, 6, 8, 8, 8, 8, 8 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 7, 7, 2, 7, 7, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 5, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 1, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 14, 1, 1, 1, 1, 1, 2, 14, 14, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 1070, 28520, 32, 4275, 1188, 35603, 924, 203, 1070, 28520, 32, 48646, 32, 2795, 1188, 4187, 203, 823, 15239, 26, 2247, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2163, 47, 2521, 30, 4203, 47, 2521, 30, 2899, 81, 1017, 47, 2521, 711, 291, 630, 1114, 4555, 3886, 81, 15934, 280, 1605, 291, 2599, 26, 1972, 30, 630, 14585, 1664, 3207, 1521, 47, 1521, 30, 4203, 47, 4298, 30, 2899, 81, 1017, 47, 2795, 81, 1017, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 5881, 3217, 312, 13462, 18970, 10293, 432, 322, 4899, 5881, 291, 442, 313, 19338, 44, 904, 101, 20, 904, 630, 32, 371, 81, 426, 346, 284, 477, 16099, 284, 665, 2454, 26, 605, 30, 2163, 47, 2521, 30, 4203, 47, 2521, 30, 2899, 81, 1017, 47, 2521, 30, 2677, 81, 4018, 47, 2521, 30, 11522, 47, 2521, 711, 291, 273, 280, 15239, 26, 1521, 47, 1521, 30, 4203, 47, 4298, 30, 2899, 81, 1017, 47, 2795, 81, 1017, 27, 291, 442, 273, 32, 944, 81, 605, 26, 605, 30, 2677, 81, 4018, 47, 4502, 81, 4018, 30, 11522, 47, 4554, 27, 284, 665, 4655, 81, 979, 81, 2035, 26, 784, 30, 3408, 711, 291, 415, 3408, 646, 328, 630, 1114, 4555, 3886, 81, 15934, 44, 324, 630, 1114, 4555, 3886, 81, 15934, 32, 1689, 26, 2035, 27, 284, 665, 1401, 81, 34326, 26, 784, 30, 3408, 711, 291, 442, 3408, 328, 630, 1114, 4555, 3886, 81, 15934, 284, 665, 12741, 26, 784, 711, 291, 1056, 280, 2599, 26, 1972, 30, 630, 547, 6282, 346, 291, 1056, 710, 297, 81, 4531, 785, 280, 2933, 291, 442, 1056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 4, 4, 9, 10, 9, 9, 9, 8, 8, 9, 8, 9, 7, 7, 8, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 6, 7, 5, 4, 4, 7, 7, 9, 11, 10, 11, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 11, 11, 9, 5, 5, 6, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 10, 11, 11, 11, 11, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 10, 11, 10, 10, 10, 9, 8, 4, 4, 7, 9, 9, 9, 9, 6, 6, 4, 4, 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 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 4, 4, 1, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 11, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 589, 622, 81, 2079, 2262, 334, 9712, 280, 1524, 78, 203, 916, 30, 3361, 30, 638, 10832, 301, 284, 1861, 44, 225, 35, 34, 34, 3652, 284, 2384, 44, 225, 35, 34, 34, 3652, 284, 3295, 44, 225, 34, 45, 284, 3714, 44, 225, 34, 45, 203, 111, 203, 916, 319, 203, 109, 284, 2357, 31, 5065, 44, 29752, 30, 31594, 30, 14809, 31, 13058, 653, 7523, 45, 284, 2357, 31, 891, 44, 225, 35, 38, 1082, 45, 203, 111, 203, 1275, 301, 284, 1778, 31, 25502, 44, 429, 8701, 31, 2446, 8692, 31, 11672, 45, 263, 1257, 18402, 569, 284, 1778, 31, 25502, 44, 261, 429, 97, 31, 2446, 8692, 31, 11672, 45, 263, 1257, 47129, 569, 284, 1778, 31, 25502, 44, 429, 7524, 31, 22926, 31, 37734, 45, 1109, 3704, 3773, 569, 284, 1778, 31, 25502, 44, 5564, 8692, 31, 11672, 45, 284, 429, 874, 31, 37654, 31, 2816, 44, 24560, 31, 22412, 45, 225, 1257, 12265, 308, 3780, 31, 9138, 2804, 27, 569, 203, 111, 203, 32, 5098, 301, 284, 2503, 44, 429, 7524, 31, 1501, 45, 284, 2503, 44, 429, 8701, 31, 1501, 45, 284, 2503, 44, 429, 874, 31, 5636, 1501, 45, 284, 2503, 44, 429, 7524, 31, 5636, 45, 284, 2503, 44, 5463, 45, 284, 429, 7524, 31, 5636, 31, 1867, 44, 2698, 9804, 45, 284, 5463, 31, 1867, 44, 2698, 9804, 45, 284, 1344, 31, 2934, 44, 4193, 45, 284, 2384, 44, 225, 35, 34, 34, 3652, 284, 3295, 44, 225, 34, 45, 284, 3714, 44, 225, 34, 45, 203, 111, 203, 1109, 2688, 8883, 1169, 3946, 372, 526, 225, 35, 34, 34, 23, 1861, 569, 203, 32, 5098, 848, 319, 301, 284, 3714, 44, 225, 35, 34, 1082, 45, 284, 5463, 44, 225, 35, 225, 35, 34, 34, 3652, 203, 111, 203, 90, 36, 301, 2186, 31, 891, 44, 225, 36, 34, 1082, 653, 7523, 45, 1344, 31, 2934, 44, 2390, 7154, 203, 32, 5370, 4791, 301, 2384, 44, 38, 39, 1082, 7154, 203, 32, 1831, 301, 878, 31, 2934, 44, 4193, 7154, 203, 32, 15966, 31, 35, 301, 284, 3168, 31, 990, 44, 39135, 4810, 588, 53, 40, 53, 43, 4019, 45, 284, 3208, 44, 588, 17500, 45, 203, 111, 203, 32, 3399, 9840, 301, 284, 2384, 44, 2267, 45, 284, 1861, 44, 2267, 45, 284, 1769, 31, 2273, 44, 225, 35, 34, 34, 3652, 284, 1769, 31, 1644, 44, 225, 35, 34, 34, 3652, 203, 111, 203, 1109, 31615, 2179, 308, 2671, 372, 5209, 27, 569, 203, 50, 3435, 1169, 461, 308, 887, 31, 1644, 44, 225, 35, 34, 34, 34, 1082, 27, 301, 284, 638, 15966, 31, 35, 301, 1344, 31, 2934, 44, 1873, 45, 3083, 429, 7524, 31, 5636, 44, 225, 35, 225, 39, 3652, 3083, 5463, 44, 225, 35, 225, 39, 3652, 3083, 429, 7524, 31, 1174, 44, 35, 45, 3083, 2532, 44, 35, 7154, 284, 638, 1831, 264, 301, 2532, 44, 225, 36, 45, 5463, 44, 40, 7154, 203, 111, 203, 1109, 5532, 2179, 429, 7394, 2663, 6867, 6822, 569, 203, 50, 3435, 308, 1449, 31, 1644, 44 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 2, 2, 2, 1, 1, 4, 4, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]	[ 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2322, 203, 465, 316, 203, 465, 16539, 203, 465, 1133, 203, 1070, 638, 2282, 1188, 2032, 36684, 203, 1070, 4377, 8524, 1188, 8248, 81, 466, 203, 1070, 4377, 2304, 1188, 308, 284, 1505, 81, 21823, 30, 284, 9336, 10239, 30, 284, 9336, 3484, 30, 284, 622, 81, 8022, 81, 1648, 30, 203, 27, 203, 589, 540, 2868, 5937, 81, 1648, 2262, 284, 442, 622, 81, 8022, 81, 1648, 26, 291, 330, 2051, 317, 5937, 370, 2107, 287, 4756, 2188, 540, 25, 12390, 91, 27, 4460, 1456, 15434, 78, 101, 28, 104, 49, 2009, 34, 31, 43, 83, 31, 15188, 31, 76, 1114, 31, 6155, 19188, 203, 823, 559, 2868, 6344, 26, 974, 36684, 711, 284, 665, 4011, 81, 4984, 26, 784, 30, 4870, 30, 3099, 81, 2665, 711, 291, 665, 1420, 81, 2051, 317, 5937, 26, 1132, 711, 324, 1477, 280, 1133, 32, 1003, 346, 324, 20791, 81, 11650, 280, 1665, 324, 20791, 81, 48982, 81, 605, 81, 1657, 280, 1665, 324, 11504, 280, 16539, 32, 45606, 26, 1132, 30, 16154, 47, 27958, 32, 18165, 27, 324, 6213, 81, 266, 81, 890, 81, 928, 280, 2933, 324, 11504, 81, 8228, 81, 10687, 280, 3177, 324, 2218, 646, 11504, 81, 8228, 81, 10687, 44, 400, 1628, 280, 4247, 400, 2218, 2933, 44, 528, 1351, 280, 11504, 32, 8228, 32, 850, 26, 35, 27, 528, 415, 646, 1351, 44, 715, 11504, 81, 8228, 81, 10687, 280, 2933, 715, 1626, 528, 415, 1351, 328, 428, 84, 10255, 100, 370, 323, 10255, 96, 12132, 715, 1626, 528, 1628, 1454, 1351, 32, 5460, 463, 14510, 370, 330, 3227, 683, 400, 415, 646, 1628, 44, 528, 4036, 400, 345, 2067, 280, 316, 32, 1903, 26, 100, 25, 2009, 34, 31, 43, 6155, 8169, 77, 34, 31, 43, 8274, 37, 1748, 13729, 517, 428, 34, 31, 43, 6155, 8169, 77, 34, 31, 43, 8274, 36, 111, 8382, 766, 37254, 34, 31, 43, 8274, 35, 30, 36, 4104, 16631, 34, 31, 43, 1130, 16822, 7243, 1628, 27, 400, 415, 345, 2067, 44, 528, 17236, 81, 605, 81, 1657, 280, 629, 26, 1808, 26, 5987, 92, 32, 1363, 26, 35, 490, 319, 225, 35, 34, 36, 38, 27, 528, 13720, 280, 1897, 26, 5987, 92, 32, 1363, 26, 36, 490, 528, 415, 646, 20791, 81, 11650, 44, 715, 20791, 81, 11650, 280, 13720, 715, 20791, 81, 48982, 81, 605, 81, 1657, 280, 17236, 81, 605, 81, 1657, 528, 1133, 81, 2174, 280, 1133, 32, 1003, 346, 528, 30918, 280, 630, 32, 10261, 81, 2281, 26, 1366, 30, 1133, 81, 2174, 30, 225, 35, 34, 34, 429, 20791, 81, 11650, 30, 13720, 429, 20791, 81, 11650, 27, 528, 8227, 280, 630, 32, 10261, 81, 7670, 26, 1366, 30, 1133, 81, 2174, 30, 17236, 81, 605, 81, 1657, 429, 20791, 81, 48982, 81, 605, 81, 1657, 27, 528, 706, 81, 1657, 280, 1665, 528, 415, 13720, 848, 225, 34, 44, 715, 706, 81, 1657, 280, 629, 26, 48982, 81, 605, 81, 1657, 319, 225, 35, 34, 34, 517, 13720, 27, 528, 630, 1114 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 8, 8, 8, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 8, 8, 10, 11, 10, 6, 6, 9, 9, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 8, 8, 6, 6, 8, 8, 10, 11, 10, 11, 10, 10, 11, 13, 12, 13, 10, 6, 6, 9, 9, 9, 9, 9, 9, 8, 8, 6, 6, 9, 9, 9, 9, 8, 8, 6, 6, 7, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 8, 8, 9, 9, 9, 9, 12, 12, 15, 16, 14, 15, 14, 15, 14, 10, 10, 11, 12, 11, 11, 11, 15, 15, 15, 15, 14, 14, 12, 12, 10, 10, 11, 12, 12, 15, 15, 16, 15, 13, 15, 16, 15, 11, 11, 10, 10, 12, 12, 14, 15, 14, 16, 16, 14, 16, 16, 8, 8, 9, 10, 9, 9, 9, 8, 8, 11, 10, 10, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 8, 8, 9, 10, 9, 9, 9, 13, 13, 13, 13, 12, 12, 14, 17, 17, 20, 20, 19, 20, 19, 20, 19, 15, 15, 16, 16, 16, 16, 14, 10, 10, 12, 12, 14, 17, 17, 16, 17, 16, 17, 16, 10, 10, 11, 12, 13, 13, 11, 11, 11, 15, 15, 14, 14, 12, 12, 15, 15, 15, 15, 15, 15, 14, 14, 15, 15, 15, 15, 10, 10, 13, 13, 12, 12, 14, 15, 14, 10, 10, 12, 12, 14, 15, 15, 15, 14, 15, 14, 14, 15, 15, 14, 14, 16, 16, 16, 15, 15, 16, 16, 14, 14, 15, 15, 16, 16, 14, 10, 10, 12, 12, 14, 15, 15, 15, 14, 15, 14, 14, 15, 15, 14, 14, 16, 16, 16, 16, 15, 15, 16, 16, 16, 16, 16, 16, 14, 10, 10, 13, 13, 12, 12, 10, 10, 11, 12, 12, 13, 11, 11, 11, 15, 15, 14, 14, 16, 19, 19, 19, 19, 19, 18, 18, 19, 19, 19, 17, 17, 16, 10, 10, 13 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 8, 8, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 1, 2, 9, 9, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 6, 1, 1, 1, 1, 1, 6, 6, 6, 0, 0, 3, 3, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 3, 3, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 3, 3, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 0, 5, 5, 2, 2, 1, 1, 7, 7, 2, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 0, 0, 5, 5, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 3, 3, 7, 1, 1, 2, 7, 7, 7, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0 ]
[ 28771, 81, 7230, 280, 3177, 203, 1270, 44, 284, 645, 30764, 265, 1188, 18711, 284, 20719, 81, 7230, 280, 2933, 203, 7343, 29986, 44, 284, 443, 18711, 26, 1473, 711, 291, 665, 7060, 26, 784, 30, 636, 30, 3693, 47, 2521, 711, 324, 442, 617, 13190, 10760, 26, 426, 30, 3693, 27, 284, 443, 617, 13190, 10760, 26, 1473, 711, 291, 665, 1156, 1664, 3207, 784, 30, 636, 30, 3693, 47, 2521, 711, 324, 630, 32, 426, 280, 636, 324, 630, 3667, 1427, 505, 280, 3693, 291, 665, 617, 5066, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 324, 3636, 26405, 463, 1333, 464, 299, 2193, 438, 31731, 330, 7686, 330, 26208, 322, 30764, 265, 4253, 438, 330, 7686, 330, 1206, 6713, 11834, 291, 3240, 280, 9254, 319, 83, 30, 1115, 4124, 44, 1665, 291, 5008, 280, 23314, 280, 1401, 81, 268, 2865, 483, 81, 979, 280, 13444, 483, 81, 979, 280, 766, 324, 37322, 81, 10089, 81, 452, 280, 9475, 81, 452, 280, 617, 5066, 291, 3555, 617, 5066, 203, 81, 28771, 280, 18711, 346, 203, 2387, 81, 29032, 280, 617, 28771, 32, 7295, 463, 2387, 31, 29032, 683, 203, 1357, 81, 9771, 280, 617, 28771, 32, 7295, 463, 1357, 31, 9771, 683, 203, 1357, 81, 15009, 280, 617, 28771, 32, 7295, 463, 1357, 31, 15009, 683, 203, 1357, 81, 519, 6992, 81, 1746, 280, 617, 28771, 32, 7295, 463, 1357, 31, 519, 6992, 31, 1746, 683, 203, 9294, 81, 1357, 81, 3893, 280, 617, 28771, 32, 7295, 463, 9294, 31, 1357, 31, 3893, 683, 203, 725, 1819, 81, 519, 6992, 81, 1746, 280, 617, 28771, 32, 7295, 463, 725, 1819, 31, 519, 6992, 31, 1746, 683, 203, 725, 1819, 81, 11467, 2034, 280, 617, 28771, 32, 7295, 463, 725, 1819, 31, 11467, 2034, 683, 203, 725, 1819, 81, 3235, 5367, 280, 617, 28771, 32, 7295, 463, 725, 1819, 31, 3235, 5367, 683, 203, 1436, 81, 1306, 22263, 280, 617, 28771, 32, 7295, 463, 1436, 31, 1306, 22263, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 5, 3, 3, 2, 2, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 4, 5, 6, 5, 4, 4, 6, 7, 8, 7, 7, 7, 7, 8, 9, 7, 6, 6, 8, 10, 10, 10, 11, 10, 10, 10, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 7, 8, 7, 7, 7, 7, 8, 9, 7, 6, 6, 10, 11, 9, 9, 7, 7, 10, 11, 11, 9, 9, 5, 5, 6, 7, 7, 8, 7, 7, 9, 7, 7, 9, 7, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 5, 5, 7, 7, 8, 11, 9, 9, 11, 8, 8, 5, 5, 7, 7, 8, 8, 10, 10, 10, 10, 10, 10, 9, 9, 11, 11, 11, 10, 10, 11, 10, 12, 12, 12, 12, 11, 11, 13, 13, 12, 12, 13, 5, 5, 6, 7, 0, 3, 3, 2, 2, 4, 0, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]	[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 3, 3, 3, 3, 3, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 2, 2, 2, 4, 4, 4, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 2678, 21031, 32, 4997, 9071, 32, 30609, 1188, 319, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 37571, 225, 1188, 319, 203, 1070, 2678, 21031, 32, 1262, 1188, 319, 203, 1070, 2678, 21031, 32, 8463, 1188, 319, 203, 1070, 638, 99, 339, 81, 6844, 81, 12316, 1188, 622, 67, 339, 17131, 1076, 30, 438, 9420, 67, 339, 17131, 203, 1070, 638, 99, 339, 81, 12316, 81, 33031, 1188, 319, 203, 589, 1626, 67, 339, 9518, 26, 99, 339, 17131, 30, 1932, 13753, 30, 3100, 13753, 711, 664, 415, 2678, 339, 17131, 438, 1665, 44, 442, 1665, 664, 485, 620, 280, 2678, 339, 17131, 32, 7733, 1622, 346, 664, 415, 485, 620, 610, 313, 9864, 20, 556, 485, 620, 610, 313, 18174, 81, 9864, 563, 397, 442, 1665, 397, 588, 225, 588, 225, 588, 333, 21, 333, 20, 429, 261, 429, 261, 829, 203, 307, 455, 280, 622, 67, 339, 17131, 34940, 2639, 26, 99, 339, 17131, 30, 1932, 13753, 27, 664, 1672, 3472, 13753, 280, 1056, 77, 35, 79, 664, 821, 17131, 280, 1056, 77, 36, 79, 664, 821, 1721, 17131, 280, 1056, 77, 37, 79, 664, 1361, 67, 339, 17131, 280, 622, 67, 339, 17131, 1076, 26, 99, 339, 17131, 30, 821, 17131, 30, 821, 1721, 17131, 547, 2991, 346, 664, 1672, 5064, 13753, 280, 1665, 664, 415, 3100, 13753, 438, 646, 1665, 44, 397, 588, 2317, 261, 588, 11304, 95, 225, 588, 333, 4027, 588, 333, 552, 21, 333, 33189, 333, 13188, 46, 20, 83, 9812, 261, 333, 225, 34, 264, 848, 225, 34, 5384, 29239, 280, 622, 67, 339, 17131, 34940, 2639, 26, 99, 339, 17131, 30, 3100, 13753, 27, 397, 1672, 5064, 13753, 280, 1056, 77, 35, 79, 397, 821, 17131, 280, 1056, 77, 36, 79, 397, 821, 1721, 17131, 280, 1056, 77, 37, 79, 397, 588, 408, 999, 1259, 1267, 77, 36, 79, 863, 821, 17131, 556, 1056, 77, 37, 79, 863, 821, 1721, 17131, 44, 225, 442, 1665, 664, 415, 1672, 5064, 13753, 438, 1665, 556, 2678, 339, 81, 2304, 32, 385, 26043, 26, 1772, 3472, 13753, 30, 1672, 5064, 13753, 711, 958, 397, 588, 4451, 7005, 456, 297, 9420, 67, 339, 17131, 26, 1113, 67, 339, 17131, 27, 610, 3177, 44, 442, 1665, 397, 11638, 280, 1361, 67, 339, 17131, 32, 2969, 1484, 45739, 26, 1772, 3472, 13753, 30, 1665, 27, 397, 415, 11638, 438, 1665, 44, 442, 1665, 397, 442, 428, 11215, 77, 34, 614, 11638, 77, 35, 614, 821, 17131, 30, 821, 1721, 17131, 79, 664, 813, 44, 588, 281, 25, 1309, 47187, 280, 1361, 67, 339, 17131, 32, 7733, 1622, 346, 397, 415, 485, 620, 610, 313, 44412, 13057, 563, 276, 943, 8024, 280, 2678, 339, 81, 2304, 32, 371, 8024, 1083, 36, 45739, 26, 1113, 67, 339, 17131, 32, 2390, 30, 1672, 3472, 13753, 27, 276, 1477, 8024, 280, 2678, 339, 81, 2304, 32, 371, 8024, 1083, 36, 45739, 26, 1113, 67, 339, 17131, 32, 2390, 30, 1672, 5064, 13753, 27, 276, 20507, 280, 1910, 339, 8776, 922, 470, 26, 1113, 67, 339, 17131, 32, 2390, 30, 1361, 67, 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, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 5, 5, 4, 4, 3, 3, 5, 2, 2, 5, 4, 4, 7, 7, 6, 7, 7, 6, 2, 2, 3, 6, 5, 5, 7, 7, 4, 4, 6, 5, 5, 7, 7, 7, 7, 3, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 0, 0, 3, 3, 2, 2, 3, 4, 3, 0, 0, 3, 2, 2, 3, 4, 3, 0, 0, 3, 3, 2, 2, 3, 4, 3, 0, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 6, 6, 7, 7, 6, 5, 4, 0, 0, 3, 3, 2, 2, 0, 0, 1, 3, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 5, 6, 5, 2, 2, 5, 4, 4, 5, 6, 5, 2, 2, 5, 5, 4, 4, 5, 6, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 4, 4, 3, 3, 2, 2, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 6, 6, 2, 2, 3, 4, 4, 3, 3, 5, 2, 2, 3, 6, 5, 6, 5, 4, 5, 6, 5, 4, 5, 4, 4, 5, 5, 4, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 6, 6, 5, 7, 7, 7, 4, 4, 8, 8, 7, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 10, 11, 9, 10, 10, 10, 9, 5, 8, 8, 7, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 10, 11, 9, 10, 10, 10, 9, 5, 8, 7, 11, 11, 11, 9, 10, 9, 11, 11, 11, 11, 10, 11, 9, 11, 11 ]	[ 0, 0, 0, 1, 2, 2, 1, 4, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 4, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 6, 6, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 6, 6, 0, 0, 0, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 3, 3, 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, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 1, 1, 1, 13, 13, 13, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 13, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 14, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 14, 14, 14, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 14, 14, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 1, 2, 1, 1, 3, 2, 3, 1, 5, 1, 1, 7, 7, 1, 14, 14, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 3, 3, 3, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 3, 3, 3, 1, 3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0 ]
[ 1070, 8527, 32, 2387, 1188, 11522, 30, 4448, 1222, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 4688, 38, 34, 38, 203, 1070, 8527, 32, 525, 1188, 17874, 11445, 30, 17874, 40748, 11445, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 1439, 1188, 3678, 1761, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 4018, 1188, 10702, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 1217, 1188, 6645, 885, 203, 1070, 8527, 32, 1262, 1188, 1984, 46751, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 589, 2908, 81, 452, 81, 1986, 2740, 1132, 30, 1115, 5321, 711, 284, 1913, 1986, 81, 5321, 280, 5053, 1286, 81, 681, 950, 10306, 32, 3235, 463, 1286, 81, 681, 370, 1665, 4370, 284, 442, 17874, 26, 4554, 32, 3169, 81, 452, 81, 800, 2740, 1132, 30, 1115, 5321, 471, 1115, 525, 1986, 81, 5321, 27, 203, 589, 2908, 26, 1357, 30, 319, 1132, 30, 1115, 5321, 711, 284, 1913, 1986, 81, 5321, 280, 301, 291, 330, 1286, 81, 681, 950, 10306, 32, 3235, 463, 1286, 81, 681, 370, 1665, 471, 291, 330, 1517, 950, 10306, 32, 3235, 463, 1517, 370, 1665, 471, 284, 320, 284, 415, 330, 1819, 81, 2386, 25, 328, 10306, 44, 291, 1619, 81, 2386, 280, 10306, 32, 3235, 463, 1819, 81, 2386, 683, 291, 415, 10306, 32, 371, 463, 1700, 81, 725, 370, 1665, 711, 324, 3636, 10091, 463, 2797, 844, 2355, 312, 1619, 81, 2386, 844, 2298, 330, 6035, 330, 470, 2819, 1550, 81, 725, 2670, 8276, 2908, 346, 683, 284, 813, 44, 291, 1550, 81, 725, 280, 10306, 32, 3235, 463, 1700, 81, 725, 370, 1665, 27, 291, 1619, 81, 2386, 280, 4448, 1222, 26, 1357, 30, 1550, 81, 725, 47, 1700, 81, 725, 27, 284, 10306, 710, 1819, 81, 2386, 785, 280, 1619, 81, 2386, 284, 442, 17874, 26, 4554, 32, 3169, 81, 452, 81, 800, 2740, 1132, 30, 1115, 5321, 471, 715, 1115, 525, 1986, 81, 5321, 27, 203, 589, 5668, 26, 452, 30, 319, 1132, 30, 1115, 5321, 711, 284, 415, 10306, 32, 3235, 463, 48125, 370, 3177, 711, 291, 5668, 81, 823, 280, 17874, 40748, 11445, 284, 813, 44, 291, 5668, 81, 823, 280, 17874, 11445, 284, 442, 5668, 81, 823, 26, 5284, 81, 965, 26, 452, 30, 319, 1132, 30, 1115, 5321, 490, 203, 589, 617, 371, 81, 37741, 26, 23321, 711, 284, 415, 6937, 26, 23321, 30, 6645, 885, 711, 291, 442, 11595, 284, 4348, 6937, 26, 23321, 30, 10702, 711, 291, 7884, 280, 11595, 284, 4348, 6937, 26, 23321, 30, 3678, 1761, 711, 291, 7884, 280, 11595, 1114, 1536, 81, 4018, 284, 813, 44, 291, 415, 6937, 26, 23321, 30, 827, 711, 324, 11595, 505, 426, 280, 11595, 3667, 426, 505, 291, 813, 44, 324, 11595, 505, 426, 280, 11595, 3667, 823, 29215, 426, 505, 291, 3636, 10091, 440, 959, 438, 432, 827, 6611, 101, 370, 1273, 2298, 526, 312, 18297, 3678, 30, 313, 656, 313, 1572, 30, 556, 6645, 885, 20, 904, 11595, 505, 426, 27, 284, 442, 7884, 32, 464, 346, 203, 589, 622, 81, 1473, 81, 271, 81, 38, 34, 38 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 5, 5, 5, 4, 4, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 2, 2, 3, 5, 8, 7, 8, 8, 8, 8, 8, 7, 9, 7, 7, 9, 7, 5, 7, 7, 7, 7, 5, 0, 1, 1, 2, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 8, 8, 5, 5, 2, 2, 3, 6, 6, 6, 6, 4, 4, 3, 3, 3, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 7, 7, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 4, 4, 4, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 11, 9, 9, 5, 5, 8, 8, 7, 7, 9, 9, 10, 9, 9, 11, 11, 10, 11, 11, 11, 9, 2, 2, 5, 7, 7, 7, 7, 4, 4, 5, 5, 2, 2, 3, 5, 8, 7, 8, 8, 8, 8, 8, 7, 9, 7, 7, 9, 7, 5, 5, 7, 7, 7, 7, 5, 0, 1, 1, 2, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 5, 6, 5, 7, 7, 5, 5, 3, 3, 7, 7, 6, 6, 7, 7, 3, 3, 4, 4, 4, 8, 8, 7, 7, 8, 2, 2, 3, 5, 5, 5, 7, 7, 7, 7, 8, 7, 7, 9, 7, 7, 9, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 6, 5, 3, 3, 5, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 7, 7, 3, 3, 4, 6, 7, 6, 6, 7, 6, 4, 4, 7, 7, 8, 9, 9, 9, 3, 3, 4, 4, 4, 6, 8, 9, 8, 8, 8, 6, 6, 10, 10, 9, 9, 10, 11, 11, 6, 6, 7, 7, 7, 11, 11, 10, 10, 12, 13, 13, 12, 12, 5, 5, 6, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 9, 9, 10, 10, 8, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2 ]	[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 2, 1, 2, 2, 1, 2, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 0, 2, 1, 1, 2, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 3, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 10, 10, 2, 1, 2, 2, 1, 2, 2, 1, 2, 10, 10, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 4, 4, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 5, 1, 1, 1, 1, 3, 1, 5, 5, 0, 0, 2, 2, 2, 2, 0, 0, 6, 6, 6, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 1, 0, 2, 1, 0, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 505, 2116, 505, 280, 330, 92, 292, 20403, 25, 203, 823, 399, 2952, 58, 924, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 786, 711, 291, 630, 32, 853, 280, 786, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 26542, 26, 784, 32, 853, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]	[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 1070, 638, 7534, 1199, 1188, 15894, 37850, 81, 7534, 1199, 203, 1070, 2417, 5178, 1188, 9282, 4198, 203, 465, 316, 203, 1070, 30902, 32, 1040, 1188, 17161, 81, 15040, 203, 589, 617, 297, 81, 1902, 81, 9236, 2262, 284, 442, 2322, 32, 12757, 32, 371, 463, 8094, 81, 27096, 370, 31248, 15990, 463, 20235, 25844, 203, 823, 15894, 37850, 81, 3806, 265, 47708, 26, 14693, 37850, 81, 7534, 1199, 711, 284, 477, 17614, 284, 665, 3082, 1237, 26, 6933, 711, 291, 17161, 81, 15040, 26, 324, 313, 7732, 7578, 4428, 2464, 8535, 1494, 6892, 12215, 4729, 322, 313, 324, 313, 14693, 1199, 38043, 7029, 30, 1471, 322, 3834, 2179, 313, 324, 313, 7534, 29, 7534, 1199, 555, 2388, 50, 14617, 32860, 13809, 16705, 81, 4817, 9178, 3209, 2602, 5681, 324, 3778, 2250, 314, 25782, 2325, 1964, 2004, 5844, 291, 829, 291, 645, 9270, 32, 48906, 32, 1237, 1188, 4125, 5866, 81, 10520, 81, 1110, 291, 415, 617, 297, 81, 1902, 81, 9236, 2262, 324, 645, 9270, 32, 48906, 32, 1237, 1188, 24313, 874, 81, 7534, 1199, 324, 442, 24313, 874, 81, 7534, 1199, 291, 4348, 4125, 5866, 81, 10520, 81, 1110, 32, 1237, 5866, 32, 936, 9816, 463, 37623, 874, 7831, 324, 645, 9270, 32, 4219, 32, 28383, 454, 274, 32, 2958, 32, 1237, 1188, 24313, 874, 81, 1237, 5866, 324, 442, 24313, 874, 81, 1237, 5866, 291, 813, 44, 324, 645, 9270, 32, 4219, 32, 28383, 454, 274, 32, 2958, 32, 1237, 1188, 24313, 874, 81, 2175, 1237, 324, 442, 24313, 874, 81, 2175, 1237, 284, 477, 17614, 284, 665, 622, 81, 5178, 81, 823, 26, 6933, 30, 1984, 711, 291, 442, 9282, 4198, 284, 665, 1487, 81, 3517, 81, 1132, 26, 784, 30, 1984, 711, 291, 6410, 280, 1984, 32, 7393, 81, 3517, 81, 1132, 346, 291, 415, 646, 617, 297, 81, 1902, 81, 9236, 2262, 324, 6410, 710, 47582, 785, 280, 4247, 324, 6410, 710, 2386, 785, 280, 1984, 32, 1217, 710, 2386, 785, 291, 442, 5518, 6410, 284, 665, 617, 8281, 81, 731, 81, 687, 26, 784, 30, 3756, 711, 291, 2530, 280, 316, 32, 6993, 26, 100, 20, 80, 4987, 86, 24913, 62, 2805, 110, 14747, 1162, 78, 86, 24913, 62, 11155, 1895, 2872, 26, 466, 26, 3893, 490, 291, 1340, 280, 2530, 32, 1363, 26, 35, 27, 556, 2530, 32, 1363, 26, 36, 27, 415, 2530, 813, 1665, 291, 415, 1340, 44, 324, 442, 629, 26, 687, 27, 203, 37995, 280, 15894, 37850, 81, 3806, 265, 47708, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 7, 6, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 5, 5, 6, 7, 8, 7, 8, 6, 6, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 10, 9, 10, 8, 8, 10, 10, 10, 10, 7, 7, 8, 9, 9, 9, 9, 6, 6, 7, 11, 11, 11, 11, 11, 10, 11, 11, 9, 10, 10, 9, 11, 11, 11, 7, 7, 9, 10, 11, 10, 11, 11, 11, 10, 11, 10, 11, 9, 9, 11, 11, 11, 11, 8, 8, 9, 10, 10, 10, 10, 6, 6, 7, 7, 7, 9, 10, 11, 10, 11, 11, 11, 10, 11, 10, 11, 9, 9, 11, 11, 11, 11, 8, 8, 9, 10, 10, 10, 10, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 6, 8, 8, 8, 8, 8, 8, 5, 5, 9, 11, 11, 8, 8, 6, 6, 9, 11, 11, 8, 8, 10, 11, 9, 11, 11, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 10, 10, 11, 10, 4, 4, 6, 6, 10, 11, 10, 11, 10, 8, 8, 10, 11, 10, 11, 10, 7, 7, 7, 7, 4, 4, 5, 5, 5, 5, 7, 9, 10, 9, 0, 3, 2, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 6, 6, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 4, 4, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 2, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 1, 2, 1, 4, 4, 4, 1, 6, 1, 8, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 2, 5, 5, 5, 0, 1, 2, 1, 4, 4, 4, 1, 6, 1, 8, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 3, 3, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 4, 4, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 20717, 203, 465, 1619, 1356, 203, 465, 17787, 203, 465, 3738, 203, 465, 11685, 203, 465, 6436, 619, 2065, 203, 465, 18792, 203, 1070, 14785, 32, 12023, 1188, 8361, 619, 712, 7972, 81, 2846, 203, 1070, 14785, 32, 12023, 32, 39447, 32, 2958, 32, 4156, 1188, 7433, 81, 1040, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8482, 81, 3229, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8482, 81, 1040, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 81, 48679, 18032, 81, 10881, 81, 9544, 81, 42412, 69, 280, 428, 284, 313, 4432, 81, 3229, 392, 313, 371, 81, 4432, 81, 3229, 392, 313, 1567, 81, 3229, 392, 313, 371, 81, 1567, 81, 3229, 392, 284, 313, 3287, 81, 96, 392, 313, 751, 81, 7151, 392, 313, 7151, 392, 313, 751, 81, 21195, 392, 313, 21195, 392, 313, 751, 81, 43822, 18181, 81, 1126, 392, 284, 313, 43822, 18181, 81, 1126, 392, 313, 20933, 392, 313, 6009, 392, 313, 17965, 392, 313, 1530, 392, 313, 2816, 1446, 203, 50, 25931, 32, 669, 81, 2559, 32095, 26, 8183, 32, 1319, 3103, 2281, 27, 203, 823, 617, 1761, 16218, 26, 1473, 711, 334, 3097, 203, 589, 617, 2991, 81, 3359, 26, 3359, 711, 334, 415, 646, 20695, 26, 3359, 711, 284, 3636, 12678, 440, 3359, 438, 646, 20695, 44, 904, 101, 20, 904, 2771, 27, 334, 442, 3738, 32, 44334, 26, 397, 1340, 47, 3359, 3667, 687, 7642, 27311, 47, 3359, 3667, 19981, 7642, 397, 636, 47, 3359, 3667, 426, 7642, 1638, 15312, 47, 3359, 3667, 10514, 7642, 397, 21375, 47, 3359, 3667, 15912, 8223, 203, 589, 617, 1877, 81, 1427, 800, 26, 1455, 81, 466, 30, 5489, 81, 466, 711, 334, 3610, 81, 466, 81, 4446, 280, 3610, 81, 466, 32, 2998, 5528, 96, 657, 334, 5489, 81, 466, 280, 2706, 96, 2296, 2524, 440, 264, 904, 101, 20, 904, 1628, 436, 1628, 328, 5489, 81, 466, 32, 2998, 5528, 96, 2131, 334, 1401, 81, 1132, 81, 782, 280, 428, 397, 19501, 436, 19501, 30, 1628, 328, 10703, 26, 1455, 81, 466, 81, 4446, 27, 397, 415, 1628, 32, 7201, 922, 5729, 346, 610, 313, 1132, 44, 1446, 334, 415, 1401, 81, 1132, 81, 782, 44, 284, 1158, 81, 1132, 81, 782, 280, 1401, 81, 1132, 81, 782, 6448, 35, 79, 284, 442, 2884, 78, 96, 2296, 2524, 26, 1455, 81, 466, 81, 4446, 2867, 3220, 81, 1132, 81, 782, 1130, 324, 474, 2706, 96, 78, 96, 20, 474, 5489, 81, 466, 474, 2706, 96, 78, 96, 20, 324, 474, 2706, 96, 2296, 2524, 26, 1455, 81, 466, 81, 4446, 77, 3220, 81, 1132, 81, 782, 44, 5259, 334, 813, 44, 284, 442, 3610, 81, 466, 474, 2706, 96, 78, 96, 20 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 5, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 7, 6, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 2, 2, 3, 5, 6, 5, 5, 5, 6, 8, 7, 8, 8, 5, 6, 8, 7, 8, 8, 5, 5, 6, 8, 7, 8, 8, 5, 7, 6, 8, 7, 8, 8, 5, 5, 6, 8, 7, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 9, 8, 2, 2, 5, 5, 4, 4, 9, 8, 7, 6, 9, 9, 9, 9, 7, 7, 6, 7, 7, 7, 10, 10, 9, 10, 9, 12, 11, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 5, 5, 6, 11, 12, 11, 10, 9, 7, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 7, 9, 7, 4, 4, 5, 15, 15, 14, 13, 12, 14, 14, 14, 14, 14, 13, 15, 15, 15, 15, 15, 13, 10, 10, 10, 13, 13, 13, 12, 9, 9, 10, 10, 8, 8, 11, 11, 11, 10, 7, 7, 7, 12, 11, 10, 9, 11, 11, 11, 11, 11, 10, 12, 12, 12, 12, 12, 11, 10, 3, 3, 4, 4, 4, 6, 9, 9, 8, 8, 11, 11, 11, 10 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 1, 1, 0, 9, 9, 0, 10, 10, 1, 2, 10, 10, 3, 3, 2, 2, 2, 0, 11, 11, 1, 2, 1, 4, 1, 6, 1, 8, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 19, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 20, 20, 1, 1, 1, 2, 1, 2, 20, 20, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 3, 0, 2, 2, 2, 1, 1, 5, 0, 2, 2, 2, 1, 0, 7, 0, 2, 2, 2, 1, 1, 9, 0, 2, 2, 2, 0, 21, 21, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 21, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 3, 3, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2 ]
[ 465, 281, 4290, 203, 465, 298, 5136, 203, 1070, 14694, 4458, 1188, 489, 4238, 1290, 203, 1070, 14694, 4458, 1188, 3720, 203, 1070, 14694, 4458, 1188, 3319, 10911, 30, 1979, 1031, 10911, 203, 823, 48720, 1241, 26, 1241, 711, 284, 665, 1487, 26, 784, 711, 291, 15318, 280, 630, 32, 669, 26, 1031, 10911, 30, 636, 347, 1763, 1176, 392, 829, 291, 15318, 32, 853, 280, 428, 528, 313, 1763, 225, 35, 15593, 392, 11057, 313, 1763, 225, 36, 5661, 1309, 1309, 392, 11057, 313, 1763, 225, 37, 3003, 11057, 313, 1763, 225, 38, 3003, 528, 313, 1763, 225, 40, 3003, 528, 313, 1763, 225, 41, 3003, 528, 313, 1763, 225, 42, 3003, 528, 313, 1763, 225, 43, 3003, 528, 313, 1763, 225, 35, 34, 3003, 528, 313, 1763, 225, 35, 35, 3003, 528, 313, 1763, 225, 35, 36, 3003, 528, 313, 1763, 225, 40, 84, 3003, 528, 313, 1763, 225, 41, 84, 3003, 528, 313, 1763, 225, 42, 84, 3003, 528, 313, 1763, 225, 43, 84, 3003, 528, 313, 1763, 225, 35, 34, 84, 3003, 528, 313, 1763, 225, 35, 35, 84, 3003, 528, 313, 1763, 225, 35, 36, 84, 3003, 528, 1481, 291, 588, 7163, 647, 588, 7163, 647, 588, 7163, 647, 630, 32, 6580, 47, 1815, 291, 15318, 32, 7017, 81, 2705, 47, 37, 291, 15318, 32, 1873, 81, 4536, 47, 42, 203, 823, 1995, 26, 64, 4238, 1290, 711, 664, 665, 2575, 26, 784, 711, 1568, 2234, 280, 48720, 1241, 26, 426, 1057, 19016, 372, 489, 978, 4458, 683, 1568, 2234, 32, 3176, 346, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 664, 1123, 280, 1995, 346, 664, 298, 280, 281, 4290, 32, 1945, 463, 725, 32, 1945, 29646, 3844, 47, 35, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 9, 9, 8, 8, 9, 11, 11, 11, 8, 4, 4, 7, 8, 6, 6, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 8, 8, 8, 6, 1, 2, 2, 2, 3, 3, 3, 1, 3, 4, 4, 5, 5, 3, 7, 7, 8, 8, 8, 10, 10, 11, 11, 11, 11, 11, 11, 4, 8, 8, 8, 8, 7, 0, 1, 3, 3, 2, 4, 4, 4, 1, 5, 5, 6, 6, 2, 2, 5, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 6, 1, 1, 1, 1, 1, 1, 6, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 2, 1, 0, 7, 0, 0, 1, 0, 1, 1, 7, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 36, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 376, 36, 2282, 32, 9777, 32, 1237, 1188, 4040, 81, 2554, 81, 4530, 203, 1070, 376, 36, 2282, 32, 1040, 32, 1237, 1188, 622, 81, 1439, 81, 923, 81, 1237, 81, 965, 203, 1070, 376, 36, 2282, 32, 1040, 32, 1237, 1188, 622, 81, 2620, 81, 923, 81, 1237, 81, 965, 203, 1070, 376, 36, 2282, 32, 1040, 32, 1237, 1188, 622, 81, 22317, 5310, 81, 1237, 81, 965, 203, 1070, 376, 36, 4882, 32, 1163, 1188, 3185, 81, 1132, 203, 2208, 81, 1132, 346, 203, 823, 2330, 2755, 7233, 26, 18986, 36, 32, 7233, 711, 284, 665, 894, 81, 371, 81, 1439, 81, 923, 81, 1237, 81, 965, 26, 784, 711, 291, 2078, 280, 428, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 13093, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 13093, 324, 330, 525, 555, 5007, 44, 42, 34, 42, 34, 13093, 291, 1481, 291, 2799, 280, 428, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 370, 324, 330, 525, 555, 5007, 44, 42, 34, 42, 34, 370, 291, 1481, 291, 436, 4395, 81, 853, 30, 2799, 81, 1267, 328, 8529, 26, 2810, 30, 2799, 711, 324, 8444, 32, 14594, 32, 2393, 32, 1237, 81, 965, 280, 4395, 81, 853, 324, 4648, 280, 622, 81, 1439, 81, 923, 81, 1237, 81, 965, 346, 324, 630, 32, 5299, 26, 7975, 30, 2799, 81, 1267, 27, 284, 665, 894, 81, 371, 81, 2620, 81, 923, 81, 1237, 81, 965, 26, 784, 711, 291, 2078, 280, 428, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 13093, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 13093, 324, 330, 525, 555, 5007, 44, 42, 34, 42, 34, 13093, 291, 1481, 291, 2799, 280, 428, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 7404, 474, 4040, 81, 2554, 81, 4530, 30, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 7404, 474, 4040, 81, 2554, 81, 4530, 30, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 7404, 474, 4040, 81, 2554, 81, 4530, 30, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 7404, 474, 4040, 81, 2554, 81, 4530, 30, 324, 330, 525, 555, 5007, 44, 42, 34, 42, 34, 7404, 474, 4040, 81, 2554, 81, 4530, 30, 291, 1481, 291, 436, 4395, 81, 853, 30, 2799, 81, 1267, 328, 8529, 26, 2810, 30 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 7, 8, 7, 7, 7, 5, 5, 11, 12, 10, 11, 9, 10, 10, 10, 8, 8, 9, 9, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 10, 9, 10, 9, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 7, 8, 7 ]	[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 1, 0, 8, 8, 1, 1, 2, 0, 0, 1, 2, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1 ]
[ 505, 1427, 505, 280, 766, 203, 2993, 203, 978, 26801, 2297, 429, 26149, 461, 4438, 372, 5597, 461, 5742, 11708, 21384, 101, 203, 1318, 3619, 26801, 2297, 438, 600, 15529, 10078, 372, 6892, 461, 16924, 4281, 21384, 101, 30, 203, 4849, 32, 322, 35899, 18299, 33, 107, 4718, 10078, 30, 556, 322, 793, 432, 10605, 15866, 32, 225, 6468, 3619, 26801, 30, 844, 203, 11676, 1330, 1849, 372, 7350, 312, 537, 8345, 436, 20720, 21384, 101, 556, 9215, 15866, 429, 322, 11708, 2297, 203, 48356, 312, 4253, 432, 6015, 688, 844, 793, 372, 8520, 322, 21384, 7029, 328, 4865, 32, 203, 10921, 438, 312, 3460, 372, 3185, 313, 8279, 30, 10896, 11555, 308, 271, 1346, 485, 32668, 432, 322, 2234, 390, 2367, 46, 10321, 11370, 2717, 333, 669, 575, 2970, 48, 11555, 1748, 403, 284, 645, 3619, 26801, 1188, 10211, 30, 743, 833, 302, 284, 588, 5597, 21384, 432, 312, 485, 32668, 284, 485, 7104, 280, 10211, 26, 743, 833, 302, 829, 474, 17693, 474, 10211, 26, 743, 833, 302, 829, 474, 313, 11555, 284, 17964, 280, 313, 8279, 30, 10896, 11555, 284, 1459, 308, 7656, 30, 313, 396, 392, 485, 7104, 32, 2208, 652, 26, 17964, 9658, 203, 1318, 3460, 10107, 322, 2412, 403, 284, 12000, 30, 10896, 19, 967, 2107, 8279, 370, 5769, 370, 330, 6708, 370, 39458, 785, 203, 1318, 4865, 10293, 432, 322, 21384, 438, 12247, 18970, 30, 22420, 299, 372, 322, 630, 31, 327, 5623, 8405, 203, 823, 4467, 30, 461, 322, 793, 432, 21645, 330, 19994, 461, 25366, 25, 15568, 32, 203, 1318, 8436, 3276, 4717, 645, 390, 109, 2208, 652, 9741, 883, 526, 20001, 619, 312, 11815, 1149, 30, 312, 9473, 30, 556, 600, 203, 1473, 623, 8189, 5414, 32, 203, 1318, 3619, 26801, 2297, 13650, 1629, 432, 322, 9808, 688, 884, 18214, 354, 327, 299, 1412, 4127, 1344, 47475, 44, 203, 429, 6717, 556, 5816, 19782, 308, 1382, 3684, 3460, 1098, 2329, 2887, 313, 8279, 30, 6708, 13700, 313, 8279, 225, 1717, 225, 10896, 225, 653, 392, 5774, 7447, 203, 429, 34210, 5852, 203, 429, 17703, 8446, 203, 2993, 203, 505, 1648, 505, 280, 313, 36, 32, 34, 32, 36, 20, 203, 505, 1648, 1043, 505, 280, 313, 35, 37, 30468, 225, 36, 34, 35, 38, 225, 35, 36, 44, 35, 34, 20, 203, 505, 2116, 505, 280, 313, 9913, 338, 22554, 5708, 548, 333, 385, 6053, 89, 50, 3707, 32, 21447, 32, 1299, 5844, 203, 465, 802, 203, 1070, 18105, 612, 1188, 2488, 619, 341, 93, 612, 203, 465, 1933, 203, 465, 5237, 203, 465, 11685, 203, 465, 316, 203, 465, 309, 268, 81, 9777, 203, 465, 13625, 203, 465, 25679, 203, 505, 464, 505, 280, 428, 203, 25, 2185, 370, 330, 2732, 2274, 13099, 370, 330, 2732, 2274, 8208, 370, 330, 16364, 37519, 370, 330, 17202, 370, 330, 7167, 370, 330, 3863, 370, 330, 2766, 370, 203, 25, 13052, 35753, 370, 330, 11342, 370, 330, 6098, 705, 2137, 370, 330, 1564, 370, 330, 13099, 370, 330, 1811, 2102, 370, 330, 1811, 2130, 370, 330, 8208, 370, 203, 25, 3665, 3472, 370, 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 ]	[ 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3 ]	[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 5, 5, 0, 5, 5, 3, 3, 2, 2, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 0, 0, 0, 11, 11, 0, 12, 12, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2 ]
[ 465, 3995, 203, 465, 26313, 203, 465, 1133, 203, 465, 15798, 203, 465, 14505, 81, 4266, 203, 81, 5221, 4516, 2347, 280, 225, 34, 32, 37, 203, 81, 10656, 75, 280, 225, 35, 34, 34, 34, 34, 203, 81, 42127, 2253, 3602, 12631, 81, 46840, 1392, 280, 330, 983, 45838, 3664, 31801, 20149, 203, 823, 617, 1043, 1337, 265, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1133, 711, 291, 630, 1114, 4742, 280, 26313, 32, 5356, 346, 291, 630, 1114, 1003, 280, 1133, 291, 630, 1114, 1851, 81, 5571, 280, 1605, 284, 665, 1156, 1851, 3207, 784, 711, 291, 623, 630, 1114, 4742, 44, 324, 630, 1114, 1851, 81, 5571, 32, 1689, 26, 784, 1114, 1003, 32, 1003, 1157, 284, 665, 1476, 81, 5571, 26, 784, 711, 291, 623, 630, 1114, 4742, 44, 324, 442, 8825, 26, 784, 1114, 1851, 81, 5571, 27, 203, 823, 3717, 1006, 26, 1473, 711, 284, 665, 894, 81, 7840, 81, 979, 26, 784, 711, 291, 1477, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 1114, 1003, 32, 7840, 81, 979, 2176, 5221, 4516, 2347, 27, 291, 943, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 32, 862, 13275, 1324, 26, 1366, 81, 1003, 474, 617, 5221, 4516, 2347, 30, 943, 81, 1003, 27, 284, 665, 894, 81, 7840, 81, 17785, 26, 784, 711, 291, 1477, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 1114, 1003, 32, 7840, 81, 17785, 26, 1366, 81, 1003, 474, 617, 5221, 4516, 2347, 27, 291, 943, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 32, 862, 13275, 1324, 26, 1366, 81, 1003, 474, 617, 5221, 4516, 2347, 30, 943, 81, 1003, 27, 284, 665, 894, 81, 1851, 81, 266, 26, 784, 711, 291, 1133, 81, 1206, 265, 280, 617, 1043, 1337, 265, 26, 784, 1114, 1003, 27, 291, 1477, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 1114, 1003, 32, 1851, 81, 266, 26, 1003, 81, 1206, 265, 30, 617, 5221, 4516, 2347, 27, 291, 630, 1114, 1003, 32, 7840, 81, 979, 2176, 5221, 4516, 2347, 319, 225, 36, 27, 291, 1476, 81, 5571, 280, 1133, 81, 1206, 265, 32, 1851, 81, 5571, 346, 291, 630, 32, 6549, 26, 1851, 81, 5571, 30, 3124, 11645, 42127, 2253, 3602, 12631, 81, 46840, 1392, 27, 291, 630, 32, 862, 13275, 1324, 26, 1366, 81, 1003, 474, 617, 5221, 4516, 2347, 30, 1476, 81, 5571, 77, 34, 1130, 284, 665, 894, 81, 1851, 81, 269, 26, 784, 711, 291, 1133, 81, 1206, 265, 280, 617, 1043, 1337, 265, 26, 784, 1114, 1003, 27, 291, 1477, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 1114, 1003, 32, 1851, 81, 269, 26, 1003, 81, 1206, 265, 30, 630, 1114, 1003, 32, 1003, 346, 474, 617, 5221, 4516, 2347, 27, 291, 630, 1114, 1003, 32, 7840, 81, 979, 2176, 5221, 4516, 2347, 319, 225, 36, 27, 291, 1476, 81, 5571, 280, 1133, 81, 1206, 265, 32, 1851, 81, 5571, 346, 291, 630, 32, 6549, 26, 1851 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 13, 12, 13, 11, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 5, 5, 5, 7, 9, 11, 10, 11, 11, 11, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 8, 8, 8, 8, 10, 9, 10, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 7, 4, 4, 7, 7, 6, 6, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 7, 7, 9, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 8, 8, 8, 8, 10, 9, 10, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 8, 7, 7, 11, 12, 10, 11, 10, 8, 8, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 7, 4, 4, 7, 7, 6, 6, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 3, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 3, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1 ]
[ 465, 2322, 203, 1070, 32625, 32, 4266, 1188, 32625, 858, 203, 1070, 32625, 32, 4266, 1188, 3395, 1191, 203, 1070, 310, 283, 495, 94, 32, 17411, 32, 11192, 4137, 1188, 2156, 696, 81, 1152, 35, 42, 203, 1070, 310, 283, 495, 94, 32, 17411, 32, 11192, 4137, 1188, 6325, 81, 2304, 203, 465, 5167, 81, 3613, 203, 823, 3927, 1679, 2201, 35, 42, 1006, 26, 5609, 1191, 32, 7233, 30, 32625, 858, 32, 7233, 711, 334, 477, 5609, 1191, 32, 9281, 81, 5138, 26, 397, 301, 616, 330, 36301, 81, 426, 950, 330, 1676, 1679, 81, 1536, 370, 616, 330, 539, 81, 2613, 950, 3177, 30, 397, 801, 301, 616, 330, 36301, 81, 426, 950, 330, 1676, 1679, 81, 539, 31, 2613, 370, 616, 330, 539, 81, 2613, 950, 2933, 30, 397, 1790, 334, 665, 894, 81, 7899, 26, 784, 30, 793, 81, 2613, 711, 284, 3051, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 41827, 858, 32, 371, 81, 1536, 81, 858, 81, 30606, 1026, 1014, 330, 1676, 1679, 81, 3613, 81, 605, 683, 284, 623, 5167, 81, 3613, 32, 63, 3054, 346, 619, 47737, 44, 397, 6325, 81, 2304, 32, 3317, 81, 3613, 81, 11400, 26, 3613, 265, 27, 397, 13264, 280, 2156, 696, 81, 1152, 35, 42, 32, 2961, 1679, 2201, 35, 42, 26, 2388, 81, 1515, 30, 793, 81, 2613, 30, 4395, 81, 605, 47, 1815, 27, 284, 630, 32, 862, 17437, 26, 668, 26, 9089, 490, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 32625, 858, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 2, 4, 3, 4, 2, 1, 1, 7, 7, 6, 7, 7, 7, 6, 6, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 7, 7, 7, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 7, 7, 7, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 9, 12, 12, 11, 12, 12, 12, 12, 12, 12, 12, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 12, 12, 11, 12, 12, 11, 9, 9, 6, 6, 6, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 11, 10, 7, 7, 9, 9, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 11, 12, 12, 11, 11, 13, 13, 12, 13, 11, 5, 5, 8, 9, 9, 8, 10, 10, 11, 10, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 6, 5, 6, 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 ]	[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 4, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 3, 2, 2, 6, 6, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 3, 3, 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 1, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 11765, 733, 6325, 432, 26144, 2653, 37, 8187, 11305, 9592, 203, 465, 5237, 30, 2322, 203, 465, 2919, 2208, 203, 465, 341, 410, 445, 203, 589, 739, 81, 1356, 983, 26, 102, 711, 284, 273, 32, 524, 2121, 440, 7118, 81, 20017, 81, 4065, 392, 6313, 9857, 3188, 1356, 657, 203, 589, 739, 81, 93, 4506, 39, 81, 2957, 26, 102, 711, 284, 273, 32, 1945, 81, 3515, 440, 10174, 429, 98, 2283, 9857, 3188, 6698, 657, 284, 273, 32, 1821, 81, 761, 27284, 9857, 3188, 6698, 33, 93, 4506, 39, 32, 2957, 392, 11057, 5881, 77, 1356, 10514, 79, 203, 202, 12236, 81, 10122, 81, 21355, 280, 901, 203, 202, 12236, 81, 10122, 81, 93, 3455, 280, 861, 2699, 683, 284, 273, 32, 524, 2121, 440, 61, 13633, 39, 81, 6191, 392, 22147, 9857, 3188, 6698, 33, 93, 4506, 39, 32, 2957, 683, 203, 589, 1968, 81, 101, 37, 26, 102, 711, 284, 5881, 1832, 20781, 2653, 37, 9592, 284, 273, 32, 1338, 463, 15008, 309, 37, 683, 284, 273, 32, 31015, 463, 1667, 3629, 1263, 53, 1218, 7722, 3188, 1855, 37, 683, 284, 273, 32, 524, 2121, 463, 2201, 370, 330, 1152, 896, 20961, 683, 284, 273, 32, 1945, 81, 3515, 12004, 28260, 32, 615, 657, 284, 273, 32, 1945, 81, 3515, 12004, 7799, 429, 53, 769, 4254, 9104, 9857, 111, 769, 4898, 31, 8632, 657, 284, 273, 32, 1945, 81, 3515, 463, 2682, 46297, 683, 284, 273, 32, 1945, 81, 3515, 463, 2682, 429, 92, 38, 683, 284, 273, 32, 1945, 81, 3515, 463, 3925, 429, 4918, 2283, 9857, 15837, 284, 273, 32, 1945, 81, 3515, 463, 2682, 2443, 683, 203, 589, 1477, 81, 101, 37, 26, 102, 711, 284, 273, 32, 1338, 463, 15624, 26144, 2653, 37, 683, 284, 273, 32, 31015, 27284, 9857, 8474, 284, 273, 32, 1945, 81, 3515, 463, 14046, 464, 429, 43, 429, 99, 20781, 2653, 309, 1232, 86, 310, 1232, 86, 8888, 2539, 86, 370, 1505, 5066, 47, 2700, 27, 284, 273, 32, 1945, 81, 3515, 440, 3925, 429, 88, 773, 33, 26452, 11734, 6320, 657, 284, 273, 32, 1945, 81, 3515, 4901, 17434, 33, 96, 1232, 86, 370, 4825, 54, 6890, 284, 273, 32, 1945, 81, 3515, 4901, 17434, 33, 4463, 2539, 86, 370, 4825, 54, 6890, 284, 273, 32, 1945, 81, 3515, 4901, 17434, 33, 41495, 86, 370, 4825, 54, 6890, 284, 273, 32, 625, 81, 1684, 27284, 11695, 81, 2027, 6553, 225, 35, 37, 43, 27, 203, 589, 894, 81, 12108, 1338, 26, 102, 711, 284, 273, 32, 1338, 463, 10855, 34839, 1338, 683, 284, 273, 32, 31015, 463, 1667, 9857, 15837, 284, 273, 32, 3515, 81, 4752, 440, 1771, 33, 12108, 1338, 769, 1648, 392, 3037, 2062, 225, 37, 3107, 1130, 284, 273, 32, 3515, 81, 4752, 440, 1771, 33, 12108, 1338, 429, 98, 392, 3037, 19826, 372, 8888, 2539, 86, 25280, 6890, 284, 273, 32, 13558, 81, 3515, 440, 1771, 33, 12108, 1338, 769, 11788, 31, 1517, 392, 400, 3037, 26301, 30201, 499, 12624, 392, 353, 6313, 47341, 111, 499, 12624, 392, 353, 6313, 7638, 81, 16799 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 6, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 2, 2, 5, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 2, 2, 5, 6, 6, 6, 5, 8, 8, 8, 8, 8, 6, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 8, 8, 8, 8, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8 ]	[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1 ]
[ 465, 1133, 203, 465, 11259, 203, 465, 14461, 203, 1070, 316, 1188, 8329, 619, 316, 81, 6993, 203, 1070, 316, 1188, 30365, 2576, 6755, 3204, 203, 1070, 316, 1188, 15820, 619, 316, 81, 11731, 203, 1070, 7138, 1188, 2340, 619, 7138, 81, 770, 203, 1270, 44, 284, 645, 3664, 1188, 15025, 81, 809, 619, 617, 3426, 81, 14939, 81, 809, 203, 7343, 44, 284, 645, 11638, 81, 3426, 1188, 15025, 81, 809, 619, 617, 3426, 81, 14939, 81, 809, 203, 505, 2116, 505, 280, 313, 52, 36256, 390, 40166, 20, 203, 505, 1935, 505, 280, 313, 84, 36256, 50, 2958, 32, 1088, 20, 203, 505, 464, 505, 280, 2107, 44832, 785, 203, 589, 617, 371, 1581, 2262, 284, 442, 11259, 32, 371, 6921, 26, 6921, 32, 7257, 81, 4804, 27, 203, 823, 23265, 1043, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1581, 280, 617, 371, 1581, 346, 291, 630, 3667, 10261, 81, 44673, 346, 291, 630, 3667, 10261, 81, 5904, 346, 291, 630, 3667, 10261, 81, 404, 81, 4911, 346, 291, 630, 3667, 10261, 81, 18218, 346, 291, 630, 3667, 10261, 81, 770, 81, 1003, 346, 291, 415, 617, 371, 1581, 346, 863, 630, 32, 1581, 44, 324, 3636, 10091, 440, 6921, 5372, 5929, 13577, 657, 284, 665, 1156, 6126, 26, 784, 30, 8690, 30, 8432, 711, 291, 8690, 280, 1149, 26, 4948, 27, 291, 415, 8432, 44, 324, 8690, 32, 3215, 26, 34, 30, 9142, 291, 813, 44, 324, 8690, 32, 1689, 25416, 291, 442, 8690, 284, 665, 1156, 10261, 81, 44673, 26, 784, 711, 291, 312, 81, 44673, 280, 428, 10542, 32, 3368, 81, 24312, 77, 91, 997, 5729, 346, 436, 595, 328, 2155, 26, 41, 2177, 291, 296, 81, 44673, 280, 428, 10542, 32, 3368, 81, 426, 77, 91, 997, 5729, 346, 436, 595, 328, 2155, 26, 41, 2177, 291, 630, 32, 83, 81, 44673, 280, 312, 81, 44673, 291, 630, 32, 88, 81, 44673, 280, 296, 81, 44673, 284, 665, 1156, 10261, 81, 5904, 26, 784, 711, 291, 312, 81, 5904, 280, 428, 10542, 32, 5904, 81, 24312, 77, 91, 997, 5729, 346, 436, 595, 328, 2155, 26, 35, 37, 2177, 291, 296, 81, 5904, 280, 428, 10542, 32, 5904, 81, 426, 77, 91, 997, 5729, 346, 436, 595, 328, 2155, 26, 35, 37, 2177, 291, 630, 32, 83, 81, 5904, 280, 312, 81, 5904, 291, 630, 32, 88, 81, 5904, 280, 296, 81, 5904, 284, 665, 1156, 10261, 81, 404, 81, 4911, 26, 784, 711, 291, 3860, 81, 4911, 280, 1605, 291, 436, 12021, 328, 308, 34, 35, 30, 36, 36, 711, 324, 1133, 81, 7288, 280, 1133, 32, 1167, 81, 1003, 1162, 35, 43, 43, 43, 30, 37, 30, 35, 41, 30, 11302, 30, 38, 38, 30, 39, 39, 30, 36, 30, 41, 40, 30, 34, 490, 324, 3860, 81, 4911, 32, 1689, 26, 1003, 32, 20834, 4912, 98, 392, 1133, 81, 7288, 547, 5729, 1157, 291, 630, 32, 404, 81, 4911, 280, 3860, 81, 4911, 284, 665, 1156, 10261, 81, 770, 81, 1003, 26, 784, 711, 291, 1133, 81 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5, 5, 1, 2, 2, 2, 2, 4, 6, 6, 4, 4, 7, 7, 5, 5, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 6, 5, 7, 6, 7, 7, 7, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 8, 8, 8, 6, 6, 7, 8, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 5, 9, 10, 9, 10, 9, 9, 5, 5, 6, 6, 6, 10, 11, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 12, 11, 12, 12, 12, 10, 11, 10, 10, 9, 7, 8, 8, 8, 10, 11, 10, 4, 4, 7, 7, 6, 6, 12, 11, 12, 12, 12, 10, 11, 10, 10, 9, 7, 8, 8, 8, 10, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 12, 11, 12, 12, 12, 10, 11, 10, 10, 9, 7, 8, 8, 8, 10, 11, 11, 10, 4, 4, 7, 7, 6, 6, 12, 11, 12, 12, 12, 10, 11, 10, 10, 9, 7, 8, 8, 8, 10, 11, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 5, 5, 7, 7, 6, 7, 7, 6, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 10, 12, 12, 12, 12, 11, 12, 11, 12, 12, 11, 12, 11, 12, 12, 11, 12, 12, 11, 12, 11, 12, 12, 11, 12, 11, 6, 6, 10, 10, 9, 10, 9, 14, 13, 14, 13, 15, 15, 13, 14, 14, 13, 12, 11, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 5, 5, 3, 3, 2, 2, 0, 6, 6, 6, 6, 3, 3, 2, 2, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 7, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 11, 11, 1, 1, 2, 11, 11, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 6, 0, 0, 1, 1, 1, 2, 2, 6, 6, 6, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 1, 4, 4, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 5, 5, 1, 7, 1, 9, 9, 1, 11, 11, 1, 13, 1, 15, 15, 1, 17, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 3, 3, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 1188, 8446, 203, 1070, 8527, 32, 12023, 32, 8680, 32, 3378, 1188, 14533, 203, 1070, 8527, 32, 12023, 32, 8680, 32, 8538, 1188, 14533, 1241, 203, 1070, 638, 1188, 14533, 7233, 203, 823, 14533, 1290, 1893, 780, 17206, 26, 6315, 7233, 711, 284, 665, 23934, 6315, 1290, 26, 784, 711, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 3647, 81, 725, 1026, 8446, 27, 284, 665, 23934, 1241, 26, 784, 711, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 599, 1026, 14533, 1241, 27, 284, 665, 23934, 1241, 2922, 26, 784, 711, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 599, 81, 1977, 1026, 2430, 1526, 29594, 284, 665, 23934, 5260, 2413, 26, 784, 711, 291, 281, 280, 14533, 26, 314, 47, 35, 36, 37, 38, 39, 27, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 4555, 81, 965, 26, 85, 471, 2430, 4555, 33, 35, 36, 37, 38, 39, 29594, 284, 665, 622, 936, 3410, 2413, 26, 784, 711, 291, 281, 280, 14533, 26, 314, 47, 35, 36, 37, 38, 39, 27, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 2560, 81, 965, 26, 85, 471, 2430, 2560, 33, 35, 36, 37, 38, 39, 29594, 284, 665, 622, 936, 39191, 2413, 26, 784, 711, 291, 281, 280, 14533, 26, 314, 47, 35, 36, 37, 38, 39, 27, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 25180, 81, 965, 26, 85, 471, 2430, 25180, 33, 35, 36, 37, 38, 39, 29594, 203, 823, 6028, 6315, 1006, 26, 6315, 7233, 711, 284, 19990, 280, 330, 26460, 4882, 32, 3647, 81, 4882, 32, 11400, 25, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1455, 81, 8680, 81, 725, 280, 18623, 26, 3550, 30, 330, 39263, 81, 6870, 370, 1665, 27, 291, 4070, 32, 39263, 81, 6870, 280, 330, 26460, 4882, 32, 3647, 81, 4882, 32, 2988, 81, 8680, 25, 291, 4070, 32, 6585, 45421, 81, 47406, 280, 1149, 26, 3550, 32, 6585, 45421, 81, 47406, 27, 474, 428, 3550, 32, 39263, 81, 6870, 30, 79, 284, 665, 28921, 26, 784, 711, 291, 3555, 4070, 32, 6585, 45421, 81, 47406, 6448, 35, 79, 291, 4070, 32, 39263, 81, 6870, 280, 630, 32, 1455, 81, 8680, 81, 725, 291, 415, 4070, 32, 39263, 81, 6870, 438, 1665, 44, 324, 3555, 4070, 1114, 21111, 32, 39263, 81, 6870, 284, 665, 23934, 6315, 1290, 26, 784, 711, 291, 645, 17708, 4882, 32, 3647, 81, 4882, 1188, 3115, 81, 8680, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 3647, 81, 725, 1026, 3115, 81, 8680, 27, 284, 665, 23934, 1243, 26, 784, 711, 291, 645, 17708, 4882, 32, 3647, 81, 4882, 32, 2988, 81, 8680, 32, 3378, 1188, 6028, 6315, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 1160, 1026, 6028, 6315, 27, 284, 665, 23934, 1241, 26, 784, 711, 291, 645, 17708, 4882, 32, 3647, 81, 4882, 32, 2988, 81, 8680, 32, 8538, 1188, 6028, 6315, 1241, 291, 630 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 10, 10, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 8, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 11, 10, 11, 11, 11, 11, 9, 7, 7, 10, 9, 10, 10, 10, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 6, 8, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 4, 4, 5, 7, 8, 8, 8, 6, 6, 5, 5, 5, 7, 9, 10, 8, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 7, 7, 5, 5, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 7, 5, 5, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 7, 5, 5, 7, 7, 4, 4 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 5, 5, 5, 5, 0, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 1, 2, 2, 2, 1, 4, 4, 4, 1, 6, 0, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 5, 1, 2, 1, 2, 5, 5, 0, 0, 1, 2, 2, 2, 1, 4, 4, 4, 1, 6, 0, 0, 0, 0, 4, 4 ]
[ 1070, 18971, 81, 2200, 1188, 4578, 203, 1070, 18971, 1188, 2908, 81, 2387, 30, 1984, 81, 979, 203, 465, 4004, 1350, 1610, 203, 465, 37875, 1356, 203, 50, 1212, 1350, 1610, 32, 28497, 32, 2200, 81, 6565, 203, 50, 1212, 1350, 1610, 32, 28497, 32, 3308, 834, 81, 2795, 203, 589, 537, 81, 1251, 26, 1363, 30, 1541, 711, 284, 2350, 280, 4004, 1350, 1610, 32, 1199, 32, 1363, 32, 371, 26, 1363, 27, 284, 415, 2350, 438, 1665, 44, 291, 442, 3177, 284, 415, 2350, 32, 1935, 438, 1665, 44, 291, 442, 3177, 284, 1541, 280, 4004, 1350, 1610, 32, 1199, 32, 1251, 32, 371, 26, 1251, 27, 284, 415, 1541, 438, 1665, 44, 291, 442, 3177, 284, 3124, 280, 4578, 463, 1212, 3640, 372, 19553, 1643, 26, 1363, 32, 426, 471, 7045, 1057, 32987, 1723, 50, 1251, 43568, 32, 508, 370, 1750, 44066, 6020, 1363, 32, 1935, 1130, 284, 1984, 280, 1984, 81, 979, 463, 1251, 81, 1071, 32, 5459, 81, 1251, 370, 636, 280, 4004, 1350, 1610, 32, 15248, 32, 16958, 26, 1251, 32, 426, 490, 284, 3124, 32, 1548, 280, 2908, 81, 2387, 463, 2200, 33, 1251, 33, 890, 81, 1251, 32, 2760, 370, 1541, 280, 1541, 30, 1984, 280, 4985, 1984, 27, 284, 1596, 44, 291, 4004, 1350, 1610, 32, 2200, 32, 2200, 32, 2714, 26, 2076, 27, 284, 2940, 37875, 1356, 32, 37728, 47006, 2084, 3985, 44, 291, 4004, 1350, 1610, 32, 2200, 32, 4073, 32, 731, 440, 12014, 372, 3240, 4096, 372, 44, 16531, 78, 768, 2179, 26, 1363, 32, 1935, 490, 284, 2940, 37875, 1356, 32, 37728, 8161, 924, 44, 291, 4004, 1350, 1610, 32, 2200, 32, 4073, 32, 731, 440, 8161, 1048, 1412, 11926, 4096, 657, 284, 442, 2933, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 2, 5, 5, 5, 4, 5, 3, 4, 4, 4, 1, 2, 5, 5, 5, 4, 5, 3, 4, 4, 4, 4, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 2, 2, 5, 5, 10, 10, 9, 10, 8, 9, 7, 8, 7, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 6, 3, 3, 4, 6, 7, 5, 5, 4, 4, 4, 6, 3, 3, 5, 5, 10, 10, 9, 10, 8, 9, 7, 8, 7, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 6, 3, 3, 5, 5, 7, 11, 11, 11, 11, 10, 9, 11, 10, 11, 9, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 9, 3, 3, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 12, 12, 11, 12, 10, 11, 10, 12, 11, 12, 10, 3, 3, 6, 7, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 7, 8, 8, 8, 7, 3, 3, 4, 4, 4, 11, 11, 10, 11, 9, 10, 8, 9, 8, 9, 8, 4, 4, 5, 7, 6, 7, 7, 7, 7, 5, 5, 5, 12, 12, 11, 12, 10, 11, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 12, 12, 11, 11, 13, 12, 13, 11, 4, 4, 5, 7, 6, 7, 7, 7, 5, 5, 5, 12, 12, 11, 12, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 3, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 4, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 4, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 2, 1, 1, 2, 2, 2, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 5, 5, 1, 4, 4, 8, 8, 8, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 8, 8, 3, 0, 1, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 8, 8, 4, 0, 1, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 14785, 32, 2958, 32, 12974, 32, 5176, 81, 15678, 32, 5176, 81, 15678, 1188, 12122, 7256, 203, 1070, 14785, 32, 2958, 32, 12974, 32, 5176, 81, 15678, 32, 5176, 81, 15678, 1188, 2179, 81, 2590, 81, 965, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 2145, 81, 1356, 203, 1070, 14785, 32, 2958, 32, 1040, 32, 4213, 81, 1358, 1188, 5239, 81, 1358, 203, 81, 61, 2436, 527, 4773, 940, 81, 2554, 81, 10923, 81, 6585, 45421, 280, 2933, 203, 1270, 44, 334, 645, 24731, 1188, 2043, 619, 831, 42, 545, 826, 18256, 645, 24731, 1188, 1359, 619, 831, 42, 101, 1163, 261, 203, 7343, 29986, 44, 334, 617, 61, 2436, 527, 4773, 940, 81, 2554, 81, 10923, 81, 6585, 45421, 280, 3177, 203, 50, 4213, 81, 1358, 463, 12974, 32, 5176, 81, 15678, 32, 26800, 4607, 7256, 683, 203, 823, 13919, 4607, 7256, 26, 4607, 7256, 711, 334, 665, 1156, 1664, 3207, 784, 30, 3083, 3992, 81, 452, 81, 1172, 81, 9387, 47, 2521, 30, 3083, 5239, 81, 1786, 81, 625, 47, 42, 38, 41, 34, 30, 3083, 16215, 81, 1823, 1057, 7052, 370, 3083, 2684, 81, 1580, 47, 2521, 711, 284, 415, 617, 61, 2436, 527, 4773, 940, 81, 2554, 81, 10923, 81, 6585, 45421, 44, 397, 831, 42, 101, 1163, 32, 944, 81, 12461, 81, 1163, 346, 284, 415, 646, 3992, 81, 452, 81, 1172, 81, 9387, 44, 397, 3992, 81, 452, 81, 1172, 81, 9387, 280, 5053, 9889, 950, 2107, 3245, 31, 426, 47, 13223, 26830, 284, 415, 646, 2684, 81, 1580, 461, 646, 617, 61, 2436, 527, 4773, 940, 81, 2554, 81, 10923, 81, 6585, 45421, 44, 397, 3636, 29986, 463, 1318, 13919, 4865, 2043, 2298, 526, 6713, 2670, 25, 715, 330, 908, 322, 13919, 12122, 30281, 32, 2614, 2443, 322, 25, 715, 330, 26800, 4865, 2043, 30, 1420, 529, 9060, 2443, 330, 715, 330, 8654, 82, 544, 1370, 2016, 1628, 11834, 284, 630, 1114, 3245, 81, 452, 81, 1172, 81, 9387, 280, 3992, 81, 452, 81, 1172, 81, 9387, 284, 630, 1114, 4213, 81, 1786, 81, 625, 280, 5239, 81, 1786, 81, 625, 284, 630, 1114, 7106, 81, 1580, 280, 2684, 81, 1580, 284, 630, 32, 2795, 81, 681, 280, 1665, 284, 630, 32, 2795, 81, 314, 280, 1665, 284, 630, 32, 8358, 81, 1823, 280, 16215, 81, 1823, 334, 665, 6514, 26, 784, 30, 2899, 81, 681, 47, 2521, 30, 2899, 81, 314, 47, 2521, 30, 16215, 81, 1823, 47, 2521, 711, 284, 2899, 81, 681, 280, 2899, 81, 681, 415, 2899, 81, 681, 438, 646, 1665, 813, 630, 32, 2795, 81, 681, 284, 2899, 81, 314, 280, 2899, 81, 314, 415, 2899, 81, 314, 438, 646, 1665, 813, 630, 32, 2795, 81, 314, 284, 415, 2899, 81, 681, 438, 646, 1665, 461, 2899, 81, 314, 438, 646, 1665, 44, 397, 442, 2179, 81, 2590, 81, 965, 26, 616, 630, 32, 5176, 81, 2285, 922, 2795, 81, 2468, 26 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 3, 3, 4, 4, 5, 5, 5, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 1, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 4, 3, 2, 2, 4, 5, 5, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 6, 7, 5, 5, 5, 7, 7, 7, 7, 6, 7, 7, 7, 7, 5, 5, 5, 7, 7, 6, 8, 8, 5, 5, 7, 7, 6, 7, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 5, 5, 6, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 10, 10, 10, 10, 10, 10, 9, 9, 13, 13, 11, 14, 14, 14, 14, 14, 14, 5, 5, 6, 8, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 8, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 3, 3, 4, 5, 6, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 4, 4, 8, 8, 7, 7, 9, 9, 8, 8, 10, 10, 9, 9, 9, 8, 8, 9, 10, 10, 10, 5, 5, 8, 8, 7, 7, 9, 9, 8, 8, 10, 10, 9, 9, 9, 8, 8, 9, 10, 10, 10, 5, 5, 6, 9, 9, 8, 8, 8, 7, 7, 9, 9, 8, 8, 8, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 14, 15, 15, 15, 14, 13, 13, 13, 12 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 2, 2, 2, 8, 8, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 0, 0, 7, 1, 2, 2, 2, 0, 0, 9, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 2, 2, 2, 4, 4, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 22977, 203, 465, 29590, 203, 465, 15798, 203, 465, 5624, 203, 465, 29947, 203, 1070, 29947, 1188, 2290, 81, 5043, 203, 1070, 29947, 32, 4882, 32, 978, 36, 40, 8524, 1188, 7116, 2797, 203, 1809, 81, 38, 36, 34, 81, 5043, 280, 29947, 32, 1304, 66, 38, 36, 34, 4045, 15882, 32, 1809, 203, 589, 883, 81, 39166, 2262, 284, 5895, 8044, 280, 29590, 32, 4765, 1433, 346, 284, 27625, 81, 983, 280, 5895, 8044, 474, 313, 3374, 81, 39166, 20, 284, 1596, 44, 291, 2322, 32, 39166, 26, 3765, 8044, 30, 27625, 81, 983, 27, 291, 883, 280, 2933, 284, 2940, 308, 65, 21887, 30, 22210, 30, 29316, 711, 291, 883, 280, 3177, 284, 813, 44, 291, 2322, 32, 2546, 26, 39166, 81, 983, 27, 284, 27311, 922, 1877, 26, 3374, 81, 39166, 47, 5962, 44, 883, 27, 284, 442, 883, 203, 589, 1401, 81, 39166, 2262, 284, 6658, 81, 39166, 280, 308, 291, 5624, 32, 2946, 346, 610, 330, 2839, 25, 461, 5237, 32, 1648, 81, 1338, 2867, 36, 79, 610, 308, 37, 30, 36, 27, 284, 829, 284, 442, 883, 81, 39166, 346, 461, 646, 6658, 81, 39166, 203, 823, 2108, 4868, 16006, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 2452, 81, 1515, 280, 29590, 32, 4765, 86, 1433, 346, 291, 630, 1114, 2682, 81, 4652, 81, 5999, 346, 284, 665, 28921, 26, 784, 711, 291, 22977, 32, 100, 41718, 26, 784, 32, 2452, 81, 1515, 27, 284, 665, 617, 2682, 81, 4652, 81, 5999, 26, 784, 711, 291, 630, 32, 2180, 81, 1515, 280, 630, 1114, 10174, 463, 2180, 370, 630, 32, 2452, 81, 1515, 27, 291, 630, 1114, 11251, 463, 2957, 32, 978, 370, 630, 32, 2180, 81, 1515, 27, 291, 630, 32, 4652, 81, 1515, 280, 630, 1114, 10174, 463, 4652, 370, 630, 32, 2452, 81, 1515, 27, 291, 630, 1114, 10174, 463, 505, 978, 2613, 505, 370, 630, 32, 4652, 81, 1515, 27, 291, 630, 32, 2425, 81, 4652, 81, 1515, 280, 630, 1114, 10174, 463, 96, 419, 6706, 370, 630, 32, 4652, 81, 1515, 27, 291, 630, 1114, 11251, 463, 1803, 32, 978, 370, 630, 32, 2425, 81, 4652, 81, 1515, 27, 291, 630, 32, 1113, 81, 4652, 81, 1515, 280, 630, 1114, 10174, 463, 1113, 4652, 370, 630, 32, 4652, 81, 1515, 27, 291, 630, 32, 5474, 81, 1515, 280, 630, 1114, 10174, 463, 3512, 370, 630, 32, 1113, 81, 4652, 81, 1515, 27, 291, 630, 1114, 11251, 463, 5474, 370, 630, 32, 5474, 81, 1515, 27, 291, 630, 1114, 11251, 463, 505, 1664, 9818, 978, 370, 630, 32, 1113, 81, 4652, 81, 1515, 27, 291, 630, 1114, 11251, 463, 5522, 32, 978, 370, 630, 32, 2452, 81, 1515, 27, 284, 665, 617, 10174, 26, 784, 30, 1519, 30, 2935, 81, 1515, 47, 2521, 711, 291, 415, 2935, 81, 1515, 44, 324, 1519, 280, 2322, 32, 983, 32, 2524, 26, 2544, 81, 1515, 30, 1519, 27, 291, 2322, 32, 10174, 26, 983, 27, 291, 442, 1519, 284, 665, 617 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 0, 1, 1, 2, 2, 2, 1, 1, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 5, 5, 7, 7, 7, 7, 2, 2, 3, 3, 3, 7, 8, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 6, 6, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 4, 4, 7, 7, 3, 3, 4, 4, 4, 8, 9, 8, 9, 9, 9, 8, 2, 2, 7, 6, 5, 7, 7, 7, 6, 7, 7, 7, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 4, 4, 5, 5, 9, 10, 9, 7, 7, 9, 9, 6, 6, 9, 10, 10, 10, 8, 10, 8, 7, 7, 9, 8, 9, 8, 5, 5, 2, 2, 3, 6, 6, 6, 4, 4, 5, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 7, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 7, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 10, 4, 4, 7, 8, 7, 8, 7, 4, 4, 5, 2, 2, 3 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 4, 4, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 10, 10, 1, 1, 2, 10, 10, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 0, 0, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 4, 0, 11, 11, 1, 1, 2, 11, 11, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 3, 2, 2, 2, 4, 4, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 12, 12, 1, 1, 2, 0, 1, 2, 2, 12, 12, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 4, 4, 4 ]
[ 1070, 7138, 1188, 7138, 203, 823, 9919, 308, 225, 8063, 203, 202, 589, 1156, 1664, 3207, 784, 38747, 5321, 711, 357, 202, 530, 81, 1298, 347, 1240, 1156, 1664, 26927, 313, 357, 202, 9785, 347, 1240, 1156, 1664, 26927, 20871, 313, 357, 202, 325, 313, 314, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 314, 47, 410, 26, 5321, 1365, 314, 6890, 357, 202, 1824, 44, 355, 202, 13225, 10091, 26, 9785, 5667, 314, 657, 357, 202, 325, 313, 6665, 20, 328, 10306, 32, 3494, 2262, 355, 202, 325, 827, 26, 5321, 1365, 6665, 6890, 438, 7138, 44, 603, 202, 784, 32, 6665, 47, 5321, 1365, 6665, 1446, 355, 202, 1824, 44, 603, 202, 13225, 10091, 26, 530, 81, 1298, 5667, 1318, 1202, 7138, 438, 646, 7018, 462, 827, 26, 6665, 711, 6757, 681, 26, 5321, 1365, 6665, 23821, 357, 202, 1824, 44, 355, 202, 13225, 10091, 26, 9785, 5667, 6665, 657, 357, 202, 325, 313, 2310, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 2310, 47, 466, 26, 5321, 1365, 2310, 6890, 357, 202, 1824, 44, 355, 202, 784, 32, 2310, 5487, 357, 202, 325, 313, 1517, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 1517, 47, 2420, 26, 5321, 1365, 1517, 6890, 357, 202, 1824, 44, 355, 202, 13225, 10091, 26, 9785, 5667, 1517, 657, 357, 202, 325, 313, 24465, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 24465, 47, 2420, 26, 5321, 1365, 24465, 6890, 357, 202, 1824, 44, 355, 202, 784, 32, 24465, 47, 2700, 357, 202, 325, 313, 28338, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 28338, 47, 2420, 26, 5321, 1365, 28338, 6890, 357, 202, 1824, 44, 355, 202, 784, 32, 28338, 47, 2700, 357, 202, 325, 313, 7173, 20, 328, 10306, 32, 3494, 2262, 355, 202, 325, 629, 26, 5321, 1365, 7173, 6890, 2377, 225, 34, 461, 629, 26, 5321, 1365, 7173, 6890, 333, 225, 35, 34, 34, 34, 34, 44, 603, 202, 784, 32, 7173, 47, 410, 26, 5321, 1365, 7173, 6890, 355, 202, 1824, 44, 603, 202, 13225, 10091, 26, 530, 81, 1298, 5667, 8867, 2298, 526, 3733, 225, 34, 461, 225, 35, 34, 34, 34, 34, 657, 357, 202, 1824, 44, 355, 202, 784, 32, 7173, 5487, 357, 202, 325, 313, 314, 81, 10513, 81, 1902, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 314, 81, 10513, 81, 1902, 47, 410, 26, 5321, 1365, 314, 81, 10513, 81, 1902, 6890, 357, 202, 1824, 44, 355, 202, 13225, 10091, 26, 9785, 5667, 314, 81, 10513, 81, 1902, 657, 357, 202, 325, 313, 314, 81, 1664, 18420, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 314, 81, 1664, 18420, 47, 410, 26, 5321, 1365, 314, 81, 1664, 18420, 6890, 357, 202, 1824, 44, 355, 202, 13225, 10091, 26, 9785, 5667, 314, 81, 1664, 18420, 657, 203, 202, 589, 19851, 26, 630, 711, 4512, 202, 601, 630, 32, 314, 203, 202, 589, 622, 30797, 26, 630, 711, 4512, 202, 601, 630, 32, 6665, 203, 202, 589, 739, 30797, 26, 630 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 3, 3, 4, 4, 5, 4, 6, 4, 3, 3, 7, 7, 7, 6, 8, 8, 8, 8, 8, 4, 4, 7, 6, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 8, 10, 10, 12, 11, 13, 13, 5, 5, 6, 6, 6, 6, 8, 8, 10, 12, 11, 13, 13, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 7, 7, 10, 12, 11, 13, 13, 8, 8, 7, 7, 7, 12, 11, 12, 10, 12, 11, 13, 13, 7, 7, 8, 8, 8, 8, 10, 10, 12, 15, 15, 15, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 15, 15, 17, 16, 18, 18, 5, 5, 6, 6, 6, 6, 8, 8, 10, 12, 11, 13, 13, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 8, 10, 10, 12, 11, 13, 13, 5, 5, 6, 6, 6, 6, 11, 10, 11, 9, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 8, 10, 10, 12, 11, 13, 13, 5, 5, 6, 6, 6, 6, 8, 8, 10, 12, 11, 13, 13, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 8, 10, 10, 12, 11, 13, 13, 5, 5, 6, 6, 6, 6, 11, 10, 11, 9, 10, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 8, 10, 10, 12, 11, 13, 13, 5, 5, 6, 6, 6, 6, 11, 10, 11, 9, 10, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 7, 7, 11, 13, 12, 14, 14, 9, 9, 10, 8, 8, 11, 13, 12, 14, 14, 9, 9, 10, 10, 10, 10, 10, 7, 7, 7, 12, 11, 12, 10, 12, 12, 14, 13, 15, 15, 7, 7, 8, 8, 8, 8, 10, 10, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 5, 5, 6, 6, 6, 6, 11, 10, 11, 9, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 10, 10, 10, 10, 8, 10, 10, 12, 11, 13, 13, 13, 13, 13, 13, 5, 5, 6, 6, 6, 6, 8, 8, 10, 12, 11, 13, 13, 13, 13, 13, 13, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 10, 10, 10, 8, 10, 10, 12, 11, 13, 13, 13, 13, 13, 5, 5, 6, 6, 6, 6, 8, 8, 10, 12, 11, 13, 13, 13, 13, 13, 2, 2, 3, 3, 4, 4, 4, 3, 3, 5, 5, 6, 7, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 6, 7, 2, 2, 3, 3, 4, 4, 4 ]	[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 3, 3, 1, 2, 1, 1, 0, 2, 1, 3, 3, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 4, 4, 4, 4, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 3, 3, 4, 4, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 4, 4, 1, 2, 1, 1, 0, 2, 1, 4, 4, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 4, 4, 4, 4, 4, 4, 0, 0, 2, 0, 4, 4, 5, 5, 1, 2, 1, 1, 0, 2, 1, 5, 5, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 5, 5, 4, 4, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 6, 6, 1, 2, 1, 1, 0, 2, 1, 6, 6, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 6, 6, 4, 4, 4, 4, 0, 0, 2, 0, 2, 4, 4, 7, 7, 1, 2, 1, 1, 0, 2, 1, 7, 7, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 7, 7, 4, 4, 4, 4, 0, 0, 2, 0, 2, 4, 4, 8, 8, 1, 2, 1, 1, 0, 2, 1, 8, 8, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 4, 4, 4, 4, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 4, 4, 4, 4, 0, 0, 2, 0, 4, 4, 9, 9, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 9, 9, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 9, 9, 4, 4, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 10, 10, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 10, 10, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 10, 10, 4, 4, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 4, 4, 3, 3, 1, 2, 2 ]
[ 465, 15798, 203, 465, 6436, 203, 465, 663, 1352, 203, 1070, 663, 1352, 1188, 16601, 203, 1070, 663, 1352, 1188, 4442, 203, 1070, 663, 1352, 1188, 14999, 81, 1553, 203, 1070, 663, 1352, 32, 4266, 1188, 5601, 203, 325, 16601, 32, 7230, 44, 284, 16601, 32, 1664, 346, 203, 823, 2108, 7334, 6353, 34, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 106, 280, 6436, 32, 16251, 26, 38, 36, 30, 9710, 47, 10337, 32, 1808, 37, 36, 547, 12091, 26, 36, 30, 225, 41, 30, 225, 37, 27, 291, 630, 32, 1269, 280, 428, 784, 32, 106, 6894, 499, 36, 614, 630, 32, 106, 6894, 225, 36, 44, 39, 614, 630, 32, 106, 6894, 225, 39, 46017, 291, 630, 32, 1269, 81, 1906, 280, 428, 36, 30, 225, 39, 79, 291, 630, 32, 5082, 280, 225, 35, 284, 665, 1505, 81, 7543, 26, 784, 30, 816, 81, 605, 30, 22720, 81, 605, 30, 10193, 81, 271, 81, 15485, 30, 6013, 711, 291, 816, 280, 663, 1352, 32, 3818, 26, 106, 81, 605, 27, 291, 22720, 280, 4442, 32, 2998, 81, 5082, 26, 106, 30, 10193, 81, 271, 81, 15485, 30, 6013, 27, 291, 436, 533, 86, 30, 533, 328, 8529, 26, 1269, 81, 605, 30, 22720, 711, 324, 14999, 81, 1553, 32, 862, 81, 35502, 26, 11013, 30, 533, 32, 605, 30, 35012, 47, 34, 30, 12190, 362, 47, 34, 27, 284, 665, 894, 81, 7543, 81, 6281, 26, 784, 711, 291, 630, 32, 1553, 81, 7543, 26, 784, 32, 106, 30, 630, 32, 1269, 30, 630, 32, 1269, 81, 1906, 30, 630, 32, 5082, 27, 284, 477, 2437, 32, 9873, 284, 665, 894, 81, 7543, 81, 9873, 26, 784, 711, 291, 630, 32, 1553, 81, 7543, 26, 324, 16601, 32, 452, 81, 9873, 26, 784, 32, 106, 471, 324, 428, 9615, 32, 452, 81, 9873, 26, 107, 32, 2991, 1157, 436, 533, 328, 630, 32, 1269, 614, 324, 630, 32, 1269, 81, 1906, 30, 6013, 47, 784, 32, 5082, 27, 284, 665, 1505, 81, 21752, 26, 784, 30, 816, 81, 605, 30, 10193, 81, 271, 81, 15485, 30, 6013, 711, 291, 816, 280, 663, 1352, 32, 3818, 26, 106, 81, 605, 27, 291, 22720, 280, 4442, 32, 2998, 81, 5082, 26, 106, 30, 10193, 81, 271, 81, 15485, 30, 6013, 27, 291, 436, 533, 328, 22720, 44, 324, 533, 32, 4943, 280, 533, 32, 605, 291, 22720, 77, 34, 997, 21752, 346, 291, 14999, 81, 1553, 32, 862, 81, 35502, 26, 106, 32, 605, 30, 816, 32, 4943, 30, 35012, 47, 34, 30, 12190, 362, 47, 34, 27, 284, 665, 894, 81, 21752, 81, 6281, 26, 784, 711, 291, 630, 32, 1553, 81, 21752, 26, 784, 32, 106, 30, 630, 32, 1269, 81, 1906, 30, 6013, 47, 784, 32, 5082, 27, 284, 477, 2437, 32, 9873, 284, 665, 894, 81, 21752, 81, 9873, 26, 784, 711, 291, 630, 32, 1553, 81, 21752, 26, 324, 16601, 32, 452, 81, 9873, 26, 784, 32, 106, 471, 630, 32, 1269, 81, 1906, 30, 6013, 47, 784, 32 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 10, 11, 10, 11, 11, 10, 10, 11, 13, 12, 13, 13, 13, 10, 9, 8, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 10, 9, 10, 8, 8, 10, 8, 7, 9, 10, 8, 8, 10, 9, 10, 8, 7, 9, 10, 8, 8, 10, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 7, 7, 8, 7, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9, 9, 8, 8, 8, 4, 4, 5, 7, 6, 6, 5, 5, 7, 8, 8, 8, 7, 7, 7, 5, 5, 10, 10, 9, 10, 10, 10, 9, 10, 9, 9, 10, 11, 9, 9, 10, 11, 9, 9, 11, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 7, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 8, 8, 12, 11, 12, 12, 12, 11, 14, 13, 14, 13, 9, 10, 10, 10, 11, 12, 9, 8, 8, 9, 10, 10, 10, 8, 8, 9, 11, 10, 11, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9, 9, 8, 8, 8, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 8, 8, 9, 10, 4, 4, 8, 9, 8, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 10, 9, 10, 7, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 8, 9, 10, 10, 10, 8, 8, 9, 11, 10 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 1, 2, 7, 7, 7, 0, 2, 1, 0, 8, 8, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 3, 3, 0, 4, 2, 3, 2, 0, 2, 5, 5, 0, 4, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 2, 3, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 7, 7, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 4, 4, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 0, 7, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 4, 4, 0, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 5, 2, 2, 2, 1, 1, 7, 0, 2, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 4, 4, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 0, 7, 2, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 0, 2, 2, 1, 4, 4, 0, 1, 2, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 0, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 465, 5237, 203, 1070, 4395, 1188, 7841, 203, 1070, 18792, 1188, 44524, 30, 1344, 81, 681, 203, 1070, 25932, 1696, 1188, 622, 81, 1696, 5634, 203, 1070, 48157, 742, 542, 874, 81, 22324, 1188, 1359, 203, 1070, 48157, 742, 542, 874, 81, 22324, 32, 3789, 1188, 1505, 81, 3789, 203, 1070, 48157, 742, 542, 874, 81, 22324, 32, 2304, 1188, 6679, 81, 20938, 81, 1648, 30, 5420, 81, 9561, 203, 1070, 638, 1439, 1188, 3772, 29066, 203, 823, 2108, 1063, 26, 1761, 29066, 711, 284, 665, 894, 81, 1536, 81, 1163, 26, 784, 711, 291, 3570, 81, 605, 280, 1359, 32, 2208, 4901, 287, 1199, 47, 12243, 555, 496, 44, 15286, 50, 2035, 33, 32860, 370, 6619, 6470, 99, 370, 6470, 98, 9118, 784, 32, 2250, 81, 1515, 30, 330, 2763, 81, 44041, 3490, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 2250, 81, 426, 30, 330, 2763, 81, 44041, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 13007, 81, 1648, 30, 225, 37, 32, 35, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 11025, 81, 1648, 30, 225, 35, 32, 41, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 91, 35, 42, 96, 30, 330, 7134, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 268, 1648, 30, 330, 7134, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 11893, 30, 330, 7134, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 539, 81, 18218, 30, 330, 7134, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 1199, 30, 330, 12243, 555, 496, 44, 15286, 50, 2035, 33, 32860, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 1347, 81, 1199, 81, 5350, 30, 3177, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 1347, 81, 11176, 30, 3177, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 1347, 81, 5207, 30, 3177, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 5558, 30, 3177, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 15965, 81, 761, 30, 1665, 27, 284, 665, 894, 81, 4538, 81, 1163, 26, 784, 711, 291, 3570, 81, 605, 280, 1359, 32, 2208, 2009, 324, 6470, 99, 370, 324, 11363, 1199, 47, 12243, 555, 496, 44, 15286, 50, 2035, 33, 32860, 370, 324, 11363, 13007, 31, 1648, 47, 10938, 370, 324, 11363, 11025, 31, 1648, 47, 35, 32, 41, 370, 324, 11363, 91, 35, 42, 96, 47, 1347, 370, 324, 11363, 268, 1648, 47, 1347, 370, 324, 11363, 11893, 47, 1347, 370, 324, 11363, 539, 31, 10185, 47, 1347, 370, 324, 6470, 102, 31560, 33, 68, 842, 370, 324, 6470, 1657, 370, 6470, 94, 286, 370, 6470, 2507, 370, 324, 6470, 98, 9118, 784, 32, 2250, 81, 1515, 30, 324, 330, 2763, 81, 44041, 3490, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 2250, 81, 426, 30, 330, 2763, 81, 44041, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 13007, 81, 1648, 30, 225, 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, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 9, 12, 12, 12, 11, 12, 12, 12, 9, 9, 11, 11, 11, 11, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 9, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 9, 11, 11, 11, 9, 11, 11, 9, 9, 12, 12, 12, 11, 12, 12, 12, 9, 9, 9, 11, 11, 11, 11, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 7, 7, 0, 0, 0, 0, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 1, 2, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 10, 10, 1, 2, 1, 1, 2, 10, 10, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 1340, 203, 465, 5237, 203, 589, 2575, 2176, 711, 334, 1340, 32, 42137, 346, 334, 442, 225, 34, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 5237, 32, 4775, 26, 1831, 26, 3731, 32, 6118, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 5, 6, 5, 2, 2, 3, 4, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 7, 7, 9, 8, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 2, 2, 5, 5, 0, 2, 1, 4, 4, 1, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 465, 7138, 619, 3619, 2632, 203, 465, 5741, 203, 465, 11171, 203, 465, 2361, 203, 465, 34812, 32, 4219, 32, 44087, 32, 9436, 81, 44087, 619, 20213, 203, 465, 34812, 32, 4219, 32, 8334, 993, 32, 11382, 81, 44087, 81, 17439, 619, 2813, 1804, 203, 465, 34812, 32, 4219, 32, 44087, 32, 1003, 1217, 619, 3236, 102, 203, 465, 34812, 32, 1262, 32, 371, 81, 4603, 619, 2115, 84, 203, 589, 1487, 1812, 16921, 12054, 26, 303, 445, 30, 1202, 30, 7767, 711, 284, 537, 81, 15540, 280, 7767, 346, 284, 537, 81, 15540, 32, 1366, 81, 1421, 280, 225, 39, 284, 537, 81, 15540, 32, 416, 81, 1421, 280, 225, 40, 284, 537, 81, 15540, 81, 314, 280, 20213, 32, 37535, 32, 371, 81, 1003, 81, 8442, 26, 303, 445, 32, 858, 10222, 547, 3215, 81, 605, 26, 291, 8186, 445, 32, 858, 10222, 30, 1202, 30, 537, 81, 15540, 27, 284, 537, 81, 15540, 81, 3038, 280, 20213, 32, 37535, 32, 371, 81, 1003, 81, 8442, 26, 303, 445, 32, 858, 10222, 547, 371, 81, 3038, 81, 1070, 81, 314, 26, 291, 1202, 30, 537, 81, 15540, 81, 314, 27, 284, 8186, 445, 32, 25839, 1337, 2521, 26, 890, 81, 15540, 81, 3038, 32, 371, 81, 314, 1157, 284, 8186, 445, 32, 5299, 26, 890, 81, 15540, 81, 3038, 32, 496, 81, 314, 30, 8186, 445, 32, 858, 10222, 27, 284, 442, 537, 81, 15540, 81, 3038, 203, 589, 1487, 1812, 9185, 12054, 26, 303, 445, 30, 1202, 30, 7767, 711, 284, 537, 81, 1850, 280, 7767, 346, 284, 537, 81, 1850, 32, 1403, 81, 1421, 280, 225, 39, 284, 537, 81, 1850, 32, 4775, 81, 1421, 280, 225, 40, 284, 537, 81, 15540, 81, 314, 280, 20213, 32, 37535, 32, 371, 81, 1003, 81, 8442, 26, 303, 445, 32, 858, 10222, 547, 3215, 81, 605, 26, 291, 8186, 445, 32, 858, 10222, 30, 1202, 30, 537, 81, 1850, 27, 284, 537, 81, 1850, 81, 3038, 280, 20213, 32, 37535, 32, 371, 81, 1003, 81, 8442, 26, 303, 445, 32, 858, 10222, 547, 371, 81, 3038, 81, 1070, 81, 314, 26, 291, 1202, 30, 537, 81, 15540, 81, 314, 27, 284, 8186, 445, 32, 25839, 1337, 2521, 26, 890, 81, 1850, 81, 3038, 32, 371, 81, 314, 1157, 284, 8186, 445, 32, 5299, 26, 890, 81, 1850, 81, 3038, 32, 496, 81, 314, 30, 8186, 445, 32, 858, 10222, 27, 284, 442, 537, 81, 1850, 81, 3038, 203, 589, 4131, 16921, 12054, 26, 303, 445, 30, 1202, 30, 7767, 711, 284, 537, 81, 15540, 280, 1487, 1812, 16921, 12054, 26, 303, 445, 30, 1202, 30, 7767, 27, 284, 8186, 445, 32, 5299, 26, 28291, 32, 371, 81, 11382, 81, 44087, 81, 1199, 922, 1809, 26, 291, 3447, 4519, 32, 678, 563, 1202, 30, 313, 605, 32, 416, 81, 1421, 563, 225, 40, 12665, 998, 1026, 225, 35, 27, 284, 8186, 445, 32, 5299, 26, 28291, 32, 371, 81, 11382, 81, 44087, 81, 1199, 922, 1809, 81, 658, 26, 291, 3447, 4519, 32, 678, 563, 1202, 30, 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, 0, 1, 1, 2, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 2, 3, 0, 1, 1, 3, 4, 3, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 3, 4, 3, 4, 4, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 2, 2, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 9, 10, 10, 8, 7, 7, 7, 6, 6, 6, 8, 7, 8, 8, 6, 6, 6, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 9, 10, 10, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 6, 5, 6, 6, 6, 5, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 6, 5, 6, 5, 7, 7, 7, 7, 7, 6, 7, 7, 7, 5, 5, 7, 6, 7, 7, 5, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 2, 2, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 9, 10, 10, 8, 7, 7, 7, 6, 6, 6, 8, 7, 8, 8, 6, 6, 6, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 9, 10, 10, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 6, 5, 6, 6, 6, 5, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 6, 5, 6, 5, 7, 7, 7, 7, 7, 6, 7, 7, 7, 5, 5, 7, 6, 7, 7, 5, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 2, 2, 6, 5, 6, 5, 12, 11, 12, 12, 12, 12, 12, 12, 12, 11, 10, 9, 9, 9, 13, 13, 13, 13, 11, 10, 10, 13, 13, 13, 13, 13, 13, 11, 12, 10, 8, 7, 5, 6, 5, 2, 2, 6, 5, 6, 5, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 9, 9, 9, 8, 8, 8, 12, 12, 12, 12, 10, 9, 9 ]	[ 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 2, 0, 4, 0, 6, 6, 6, 1, 1, 0, 6, 6, 0, 2, 0, 4, 4, 0, 6, 6, 6, 6, 6, 1, 1, 2, 0, 7, 7, 0, 2, 0, 4, 0, 6, 6, 1, 1, 2, 0, 8, 8, 0, 2, 0, 4, 4, 4, 1, 1, 2, 0, 9, 9, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 9, 9, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 3, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 3, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 0, 11, 11, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1 ]
[ 1070, 32774, 305, 339, 716, 1188, 2914, 30, 1044, 7493, 203, 1070, 32774, 305, 339, 716, 1188, 2761, 203, 1070, 32774, 305, 339, 716, 1188, 32084, 203, 1070, 32774, 305, 339, 716, 1188, 9058, 203, 1070, 32774, 305, 339, 716, 32, 819, 81, 5198, 1188, 1929, 81, 452, 81, 466, 30, 596, 81, 452, 81, 1516, 203, 1070, 32774, 305, 339, 716, 32, 819, 81, 1762, 1188, 14707, 81, 1762, 203, 1070, 2919, 2208, 1188, 3659, 2825, 203, 465, 7744, 203, 465, 5237, 203, 823, 2280, 81, 7295, 81, 34, 26, 771, 32, 90, 2487, 81, 1521, 36, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3964, 81, 3306, 711, 291, 2914, 32, 90, 2487, 81, 1521, 36, 3667, 1664, 3207, 784, 30, 313, 2763, 81, 7295, 81, 34, 392, 1378, 2914, 32, 716, 81, 9569, 26, 34, 30, 225, 34, 30, 225, 34, 471, 6022, 1378, 2914, 32, 716, 81, 9569, 26, 35, 30, 225, 35, 30, 2914, 32, 7545, 81, 771, 81, 11476, 490, 4456, 1561, 280, 32084, 32, 4994, 81, 1855, 81, 85, 26, 3287, 81, 3306, 30, 263, 6619, 32084, 32, 4270, 81, 44485, 81, 73, 8131, 30, 225, 9111, 40, 34, 34, 30, 423, 9111, 35, 32, 34, 30, 423, 9111, 34, 27, 423, 4456, 630, 32, 3517, 26, 1617, 30, 630, 27, 203, 823, 2280, 81, 7295, 81, 35, 26, 771, 32, 90, 2487, 81, 1521, 36, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3964, 81, 3306, 711, 291, 2914, 32, 90, 2487, 81, 1521, 36, 3667, 1664, 3207, 784, 30, 313, 2763, 81, 7295, 81, 35, 392, 1378, 2914, 32, 716, 81, 9569, 26, 34, 30, 225, 34, 30, 225, 34, 471, 6022, 1378, 2914, 32, 716, 81, 9569, 26, 35, 30, 225, 35, 30, 2914, 32, 7545, 81, 771, 81, 11476, 490, 4456, 1561, 34, 280, 32084, 32, 4994, 81, 1855, 81, 85, 26, 3287, 81, 3306, 30, 263, 9111, 32084, 32, 4270, 81, 44485, 81, 73, 8131, 30, 39690, 37, 39, 34, 30, 423, 1891, 35, 32, 34, 30, 423, 1891, 34, 27, 6019, 291, 1561, 35, 280, 32084, 32, 4994, 81, 1855, 81, 85, 26, 3287, 81, 3306, 30, 263, 9111, 32084, 32, 4270, 81, 44485, 81, 73, 8131, 30, 39690, 38, 38, 34, 30, 423, 1891, 35, 32, 34, 30, 423, 1891, 34, 27, 6019, 291, 3632, 280, 9058, 32, 669, 81, 1152, 346, 291, 630, 32, 3517, 26, 1617, 34, 30, 308, 1036, 30, 225, 34, 490, 291, 630, 32, 3517, 26, 1617, 35, 30, 308, 1036, 30, 225, 35, 490, 291, 630, 32, 3517, 26, 1036, 30, 630, 27, 203, 823, 1672, 81, 1393, 81, 1521, 26, 771, 32, 1393, 81, 1521, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2914, 32, 1393, 81, 1521, 3667, 1664, 3207, 784, 27, 291, 6886, 280, 5461, 15446, 44, 428, 2184, 79, 6486, 31, 11044, 34, 6486, 31, 11044, 35, 20, 291, 4118, 280, 3659, 2825, 308, 1762, 81, 823, 47, 819, 81, 1762, 30, 6886, 47, 8795, 27, 291, 4118, 32, 669, 81, 1762, 10359, 83, 392, 7915, 1132 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 10, 9, 9, 10, 9, 7, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 10, 9, 9, 10, 11, 11, 11, 11, 11, 9, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 8, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 8, 8, 8, 9, 8, 4, 4, 4, 7, 8, 7, 8, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 10, 9, 9, 10, 9, 7, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 10, 9, 9, 10, 11, 11, 11, 11, 11, 9, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 8, 8, 8, 9, 8, 4, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 8, 8, 8, 9, 8, 4, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 7, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 7, 10, 10, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 9, 9, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 7, 1, 1, 1, 9, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 7, 1, 1, 1, 9, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 7, 1, 1, 1, 9, 1, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 11, 11, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1 ]
[ 465, 7138, 203, 465, 4395, 203, 465, 3619, 10185, 203, 465, 1984, 2208, 203, 1070, 46624, 32, 5558, 32, 22765, 1188, 5601, 203, 1070, 32400, 81, 3494, 32, 16520, 32, 3494, 1188, 22509, 953, 203, 1070, 9525, 32, 4882, 32, 42053, 1188, 9128, 2214, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2297, 2157, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 11025, 81, 2304, 1188, 308, 284, 13165, 2459, 2780, 7233, 30, 284, 5895, 81, 4601, 81, 34923, 81, 6719, 792, 4128, 9069, 203, 27, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 308, 284, 22509, 2214, 30, 284, 6324, 2214, 30, 203, 27, 203, 1070, 13197, 106, 32, 1262, 32, 11025, 7491, 32, 1152, 106, 468, 1188, 4125, 619, 281, 9995, 468, 1237, 203, 1070, 638, 42053, 1188, 390, 9995, 609, 2214, 203, 589, 21096, 26, 4948, 711, 284, 442, 428, 106, 436, 1361, 328, 8690, 436, 816, 328, 1361, 79, 203, 589, 5630, 81, 1956, 81, 3613, 2740, 1132, 30, 1115, 5321, 711, 10065, 442, 203, 50, 2437, 463, 23434, 81, 35, 683, 203, 823, 13417, 7233, 26, 7432, 2459, 2780, 7233, 711, 284, 18407, 792, 4128, 9069, 280, 5895, 81, 4601, 81, 34923, 81, 6719, 792, 4128, 9069, 284, 477, 17614, 284, 665, 14553, 1339, 26, 6933, 711, 291, 2599, 26, 2554, 101, 7233, 30, 9011, 547, 23741, 1339, 346, 291, 9011, 32, 7632, 280, 8419, 280, 22509, 2214, 32, 1297, 346, 291, 9011, 32, 7632, 81, 678, 280, 9011, 32, 7632, 32, 2645, 32, 7632, 81, 678, 291, 1477, 280, 7138, 32, 6665, 26, 1802, 36, 34, 35, 34, 30, 225, 39, 30, 225, 35, 36, 30, 225, 36, 30, 225, 38, 36, 30, 25932, 1338, 47, 978, 10185, 32, 15689, 291, 829, 291, 7254, 280, 7138, 32, 6665, 26, 1802, 36, 34, 35, 34, 30, 225, 41, 30, 225, 41, 30, 225, 34, 30, 225, 34, 30, 25932, 1338, 47, 978, 10185, 32, 15689, 291, 829, 291, 9011, 32, 13826, 101, 280, 428, 324, 6324, 2214, 32, 1297, 26, 1366, 47, 1366, 30, 2935, 47, 7632, 27, 436, 617, 328, 35198, 26, 36, 27, 291, 1481, 291, 9011, 32, 42531, 101, 280, 21096, 2009, 324, 428, 400, 6324, 2214, 32, 1297, 26, 2544, 47, 13826, 27, 436, 617, 328, 35198, 26, 36, 27, 324, 1481, 436, 18471, 328, 9011, 32, 13826, 101, 291, 8834, 291, 9011, 32, 10163, 101, 280, 21096, 2009, 324, 428, 400, 6324, 2214, 32, 1297, 26, 528, 1477, 47, 1366, 30, 7254, 47, 19632, 30, 2935, 47, 42531, 30, 485, 1691, 981, 47, 1815, 30, 2179, 1057, 4625, 1007, 370, 6215, 47, 103, 4763, 2051, 1578, 25, 400, 829, 436, 617, 328, 35198, 26, 36, 27, 324, 1481, 436, 36834, 328, 9011, 32, 42531, 101, 291, 8834, 291, 623, 9011, 32, 2157, 32, 17245, 81, 14663, 26, 7632, 32, 314, 30, 9533, 81, 28771, 47, 2700, 711, 324, 9058, 280, 21096, 2009, 38042, 428, 528, 6324, 2214, 32, 1297, 26, 2544, 47, 10163, 27, 436, 617, 328, 35198, 26, 36, 27, 400, 1481, 436 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 0, 2, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 4, 4, 4, 4, 3, 2, 2, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 4, 4, 5, 6, 6, 7, 6, 5, 5, 11, 12, 12, 12, 11, 11, 11, 10, 10, 9, 6, 6, 9, 10, 8, 8, 9, 9, 12, 11, 12, 11, 6, 6, 9, 10, 10, 10, 8, 8, 11, 12, 10, 11, 9, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 10, 12, 11, 13, 13, 12, 13, 10, 10, 6, 6, 8, 8, 10, 11, 10, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 12, 11, 13, 13, 12, 13, 10, 10, 6, 6, 9, 10, 10, 8, 8, 9, 9, 12, 11, 12, 11, 13, 12, 13, 11, 11, 12, 13, 11, 9, 10, 10, 10, 12, 13, 12, 9, 9, 6, 6, 9, 10, 10, 8, 8, 10, 11, 11, 12, 12, 15, 14, 15, 14, 16, 15, 16, 14, 12, 13, 13, 13, 15, 16, 15, 12, 12, 11, 12, 12, 12, 13, 14, 14, 11, 11, 6, 6, 9, 10, 10, 8, 8, 10, 11, 11, 12, 12, 15, 14, 15, 14, 14, 14, 15, 16, 14, 14, 15, 16, 14, 14, 15, 16, 14, 14, 16, 16, 15, 16, 14, 14, 15, 17, 17, 17, 14, 15, 17, 17, 17, 17, 17, 14, 14, 12, 13, 13, 13, 15, 16, 15, 12, 12, 11, 12, 12, 12, 13, 14, 14, 11, 11, 6, 6, 7, 12, 13, 11, 12, 12, 12, 11, 13, 12, 13, 11, 11, 13, 13, 12, 13, 11, 7, 7, 10, 10, 12, 13, 13, 14, 14, 17, 16, 17, 16, 18, 17, 18, 16, 14, 15, 15, 15, 17, 18, 17, 14, 14, 13 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 0, 1, 2, 2, 1, 4, 7, 7, 0, 0, 8, 8, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 9, 9, 0, 1, 2, 2, 1, 4, 1, 6, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 10, 10, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 10, 10, 3, 3, 2, 2, 2, 0, 11, 11, 0, 11, 11, 0, 0, 0, 0, 12, 12, 2, 1, 2, 12, 12, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 1, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 13, 13, 0, 0, 0, 1, 1, 1, 1, 2, 14, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 9, 9, 1, 1, 0, 11, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 0, 11, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 2, 1, 1, 9, 1, 1, 2, 1, 11, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 2, 1, 1, 4, 4, 8, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 8, 8, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1 ]
[ 1070, 13047, 32, 2304, 1188, 4159, 81, 11731, 30, 3619, 36, 452, 37, 30, 25316, 203, 1070, 638, 1094, 668, 1188, 6324, 720, 203, 1070, 638, 45593, 585, 1188, 3678, 959, 203, 50, 978, 36, 452, 37, 203, 823, 4578, 26, 1243, 959, 711, 284, 1156, 18645, 505, 280, 2107, 1436, 370, 330, 2649, 370, 330, 916, 370, 330, 5561, 370, 7610, 3323, 81, 678, 785, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 26409, 3193, 1057, 1589, 370, 4159, 47, 2700, 30, 6341, 47, 2521, 30, 353, 2935, 47, 2521, 711, 291, 630, 32, 1436, 280, 1474, 291, 630, 32, 2649, 280, 3193, 291, 630, 32, 916, 280, 4159, 291, 630, 32, 5561, 280, 6341, 291, 630, 1114, 3323, 81, 678, 280, 429, 35, 291, 630, 32, 2544, 280, 2935, 284, 477, 16527, 284, 665, 2935, 26, 784, 30, 2935, 711, 291, 415, 2935, 461, 2935, 438, 646, 18623, 26, 784, 30, 330, 2544, 370, 1665, 711, 324, 630, 1114, 3323, 81, 678, 280, 18623, 26, 2544, 30, 7610, 2661, 81, 3323, 81, 678, 370, 429, 35, 27, 291, 442, 2935, 284, 477, 2433, 284, 665, 4159, 81, 1436, 26, 784, 711, 291, 442, 630, 32, 1436, 415, 630, 32, 916, 813, 4159, 81, 11731, 26, 784, 32, 1436, 27, 284, 665, 7725, 26, 784, 30, 16957, 711, 291, 16957, 32, 8275, 81, 1436, 26, 784, 27, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 630, 32, 1436, 203, 823, 22641, 26, 33733, 711, 284, 1156, 18645, 505, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 81, 823, 47, 1175, 30, 2935, 47, 2521, 30, 5218, 47, 2521, 711, 291, 6324, 720, 3667, 1664, 3207, 784, 30, 1474, 81, 823, 30, 5053, 2544, 950, 2935, 835, 5218, 27, 284, 665, 1156, 470, 1094, 3207, 784, 30, 1650, 30, 1623, 711, 291, 3610, 280, 630, 77, 1055, 79, 291, 6324, 720, 3667, 470, 1094, 3207, 784, 30, 1650, 30, 1623, 27, 291, 630, 77, 1055, 37815, 3323, 81, 678, 280, 3610, 1114, 3323, 81, 678, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 1, 1, 3, 0, 2, 3, 3, 3, 3, 1, 2, 2, 3, 4, 4, 3, 2, 2, 6, 6, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 3, 3, 4, 5, 5, 6, 5, 5, 6, 5, 6, 8, 8, 5, 6, 7, 5, 5, 6, 7, 5, 5, 5, 6, 7, 5, 4, 4, 8, 9, 7, 7, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 9, 5, 5, 8, 9, 7, 7, 3, 3, 6, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 7, 8, 8, 9, 9, 9, 11, 12, 11, 11, 13, 13, 11, 11, 7, 7, 11, 12, 12, 12, 10, 10, 12, 13, 12, 12, 14, 14, 14, 14, 14, 14, 12, 14, 12, 6, 6, 7, 3, 3, 6, 4, 4, 5, 6, 6, 6, 7, 6, 5, 5, 7, 9, 10, 8, 8, 9, 10, 8, 8, 10, 10, 10, 12, 11, 12, 10, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 8, 9, 8, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 8, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 11, 11, 9, 8, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 4, 4, 8, 9, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 1, 2, 0, 4, 4, 2, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 5, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1270, 44, 284, 645, 44524, 1188, 44524, 203, 7343, 29986, 44, 284, 645, 3363, 1188, 44524, 203, 465, 2322, 203, 465, 5237, 203, 465, 15798, 203, 1070, 1619, 1356, 1188, 1619, 4018, 203, 505, 464, 505, 280, 428, 284, 330, 669, 81, 2559, 32095, 370, 284, 330, 7344, 81, 8228, 370, 284, 330, 7344, 81, 9362, 370, 284, 330, 7233, 370, 284, 330, 42991, 81, 4065, 370, 203, 79, 203, 42991, 81, 4065, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 284, 2322, 32, 983, 32, 7781, 4064, 761, 36762, 284, 2322, 32, 568, 1515, 30, 284, 2322, 32, 568, 1515, 30, 203, 490, 203, 589, 1015, 81, 2559, 32095, 26, 2559, 329, 3246, 711, 284, 665, 7767, 26, 6933, 711, 291, 3361, 280, 14447, 26, 6933, 547, 2991, 346, 291, 3361, 32, 3235, 463, 505, 2665, 505, 370, 1665, 27, 291, 3361, 32, 3235, 463, 505, 12063, 612, 505, 370, 1665, 27, 291, 442, 3279, 329, 3246, 26, 6933, 3667, 426, 7642, 9011, 3667, 29915, 7642, 3361, 27, 284, 442, 7767, 203, 50, 1819, 4018, 203, 589, 5668, 81, 8228, 26, 2238, 47, 2521, 711, 284, 3443, 280, 3443, 556, 44524, 346, 284, 3610, 81, 8228, 30, 5237, 32, 8228, 280, 5237, 32, 8228, 30, 3443, 284, 1596, 44, 291, 6761, 3443, 284, 8295, 44, 291, 5237, 32, 8228, 280, 3610, 81, 8228, 203, 50, 1819, 4018, 203, 589, 5668, 81, 9362, 26, 2238, 47, 2521, 711, 284, 3443, 280, 3443, 556, 44524, 346, 284, 3610, 81, 9362, 30, 5237, 32, 9362, 280, 5237, 32, 9362, 30, 3443, 284, 1596, 44, 291, 6761, 3443, 284, 8295, 44, 291, 5237, 32, 9362, 280, 3610, 81, 9362, 203, 823, 19205, 26, 18986, 32, 7233, 711, 284, 477, 1819, 4018, 284, 665, 28805, 2301, 26, 784, 711, 291, 623, 2156, 26, 500, 32, 1902, 1693, 30, 330, 105, 683, 619, 5684, 1693, 44, 324, 623, 5668, 81, 8228, 26, 1902, 1693, 471, 5668, 81, 9362, 26, 1902, 1693, 711, 400, 6761, 284, 477, 1819, 4018, 284, 665, 1201, 1337, 22101, 26, 784, 30, 3756, 47, 1761, 984, 711, 291, 1201, 438, 39288, 26, 3893, 30, 3772, 984, 27, 291, 1596, 44, 324, 6761, 291, 2940, 3756, 619, 484, 44, 324, 1474, 280, 17246, 19565, 44, 19553, 1643, 26, 3893, 3667, 426, 7642, 596, 26, 87, 490, 324, 3636, 630, 32, 11879, 984, 26, 1436, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 6, 6, 9, 10, 8, 9, 8, 9, 9, 6, 6, 7, 8, 8, 6, 6, 6, 7, 8, 8, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 10, 11, 10, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 7, 7, 7, 9, 8, 9, 9, 7, 8, 9, 9, 7, 7, 2, 2, 3, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 2, 2, 5, 5, 6, 6, 8, 3, 3, 7, 7, 6, 6, 7, 8, 5, 5, 7, 8, 6, 6, 3, 3, 4, 4, 4, 7, 4, 4, 5, 5, 5, 9, 10, 8, 8, 9, 9, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 2, 2, 5, 5, 6, 6, 8, 3, 3, 7, 7, 6, 6, 7, 8, 5, 5, 7, 8, 6, 6, 3, 3, 4, 4, 4, 7, 4, 4, 5, 5, 5, 9, 10, 8, 8, 9, 9, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 11, 13, 12, 13, 13, 11, 11, 13, 13, 9, 9, 11, 6, 6, 6, 8, 12, 12, 12, 13, 13, 12, 9, 12, 12, 12, 13, 13, 12, 8, 8, 2, 2, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 7, 7, 5, 4, 4, 6, 8, 8, 9, 8, 8, 9, 8, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 14, 14, 14, 13, 12, 14, 13, 14, 14, 12, 14, 15, 14, 8, 8, 9, 11, 12, 12, 11, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 5, 2, 2, 1, 1, 1, 0, 7, 7, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 0, 0, 1, 0, 1, 2, 2, 1, 3, 2, 2, 1, 1, 4, 4, 1, 0, 0, 1, 1, 8, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 2, 2, 2, 0, 2, 2, 3, 3, 3, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 9, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 2, 2, 2, 0, 2, 2, 3, 3, 3, 0, 2, 0, 0, 2, 2, 0, 10, 10, 2, 0, 1, 2, 2, 10, 10, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 3, 3, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 24297, 203, 1070, 3363, 1188, 18394, 2338, 203, 1070, 29590, 1188, 38095, 974, 203, 465, 8529, 761, 203, 465, 36252, 203, 1070, 7562, 81, 8288, 32, 11452, 1188, 28182, 81, 3893, 203, 1070, 7562, 81, 8288, 1188, 2662, 203, 1070, 7562, 81, 3812, 1188, 4175, 203, 2897, 280, 3177, 203, 4683, 81, 4409, 81, 3364, 280, 225, 42, 319, 225, 35, 34, 36, 38, 203, 3459, 81, 5203, 81, 3364, 280, 225, 35, 319, 225, 35, 34, 36, 38, 319, 225, 35, 34, 36, 38, 203, 823, 2032, 652, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 803, 711, 291, 630, 32, 761, 280, 803, 284, 665, 9843, 26, 784, 30, 7328, 711, 291, 415, 7328, 863, 313, 3310, 42, 563, 324, 2662, 32, 731, 440, 3374, 646, 2887, 3335, 8644, 1540, 392, 225, 7328, 47, 7328, 27, 291, 630, 32, 8644, 280, 7328, 291, 442, 630, 284, 665, 6122, 26, 784, 30, 18935, 711, 291, 415, 18935, 863, 2706, 96, 563, 324, 2662, 32, 731, 440, 4445, 1755, 6122, 810, 5430, 657, 291, 630, 32, 761, 32, 14408, 26, 34, 27, 291, 442, 23998, 8683, 26, 784, 32, 761, 27, 284, 665, 1156, 1657, 3207, 784, 711, 291, 1779, 280, 630, 32, 761, 32, 27787, 346, 291, 630, 32, 761, 32, 14408, 26, 34, 30, 225, 36, 27, 291, 803, 81, 1322, 280, 630, 32, 761, 32, 27787, 346, 291, 630, 32, 761, 32, 14408, 26, 1433, 27, 291, 442, 803, 81, 1322, 284, 665, 1156, 371, 6099, 3207, 784, 30, 595, 30, 594, 711, 291, 594, 280, 4175, 32, 887, 26, 92, 30, 2069, 26, 784, 490, 291, 415, 594, 429, 225, 35, 848, 225, 36, 1115, 225, 36, 42, 44, 324, 2662, 32, 731, 440, 10291, 432, 3335, 1516, 1540, 3519, 438, 5133, 6524, 392, 1929, 47, 92, 429, 595, 27, 291, 1596, 44, 324, 630, 32, 761, 32, 14408, 26, 91, 27, 324, 1688, 280, 630, 32, 761, 32, 850, 26, 92, 429, 595, 547, 5460, 26, 784, 32, 8644, 27, 324, 442, 1688, 291, 2940, 3268, 619, 484, 44, 324, 2662, 32, 731, 26, 400, 313, 4445, 646, 1491, 803, 11494, 821, 3335, 1055, 8051, 623, 7328, 3335, 8644, 1540, 392, 400, 1650, 47, 91, 30, 400, 7328, 47, 784, 32, 8644, 30, 400, 5749, 47, 87, 324, 829, 284, 665, 1156, 669, 3207, 784, 30, 1604, 711, 291, 630, 32, 761, 32, 14408, 26, 34, 30, 225, 36, 27, 291, 630, 32, 761, 32, 1821, 26, 2455, 27, 284, 665, 1156, 100, 669, 3207, 784, 30, 1604, 711, 291, 537, 81, 761, 280, 38095, 974, 346, 291, 537, 81, 761, 32, 1821, 26, 2455, 27, 291, 630, 32, 761, 32, 14408, 26, 34, 27, 291, 436, 456, 328, 630, 32, 761, 44, 324, 537, 81, 761, 32, 1821, 26, 94, 27, 291, 537, 81, 761, 32, 14408, 26, 34, 27, 291, 442, 2032, 652, 26, 890, 81, 761 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 8, 8, 8, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 9, 8, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 7, 8, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 9, 8, 8, 10, 11, 10, 4, 4, 5, 7, 7, 8, 6, 6, 8, 7, 7, 8, 8, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 10, 12, 11, 11, 9, 4, 4, 5, 5, 5, 10, 11, 9, 10, 9, 10, 9, 6, 6, 8, 8, 13, 14, 12, 13, 12, 14, 13, 13, 12, 11, 10, 12, 11, 12, 10, 6, 6, 7, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 10, 10, 10, 11, 13, 12, 13, 10, 10, 10, 11, 12, 10, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 8, 4, 4, 8, 8, 7, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 10, 10, 9, 10, 9, 10, 9, 4, 4, 8, 8, 7, 8, 7, 8, 7, 4, 4, 5, 7, 7, 8, 8, 8 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 5, 5, 5, 5, 0, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 0, 1, 2, 8, 8, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 10, 10, 0, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 14, 14, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 0, 4, 4, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 0, 1, 0, 1, 2, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 1, 4, 4, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 2, 1, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 5, 0, 1, 1, 1, 1 ]
[ 465, 3619, 18550, 619, 298, 203, 465, 1133, 203, 98, 32, 3517, 26, 98, 32, 10580, 27, 203, 539, 15733, 4735, 1625, 280, 2933, 203, 98, 32, 7799, 3529, 44621, 26, 98, 32, 1197, 72, 81, 9352, 81, 10580, 30, 225, 34, 27, 203, 12316, 280, 298, 32, 1297, 15733, 4735, 26, 98, 32, 3055, 5650, 81, 2231, 4386, 30, 10423, 47, 34, 32, 35, 27, 203, 12316, 1705, 280, 298, 32, 1297, 15733, 4735, 26, 98, 32, 3055, 5650, 81, 13946, 30, 11214, 2725, 10704, 6020, 34, 32, 36, 30, 225, 34, 32, 36, 30, 225, 34, 32, 36, 1130, 203, 1439, 13980, 52, 280, 298, 32, 371, 26467, 1792, 31212, 2009, 34, 30, 225, 34, 32, 37, 30, 225, 34, 1130, 261, 203, 1439, 2731, 52, 280, 428, 35, 32, 39, 30, 225, 34, 30, 225, 35, 79, 203, 906, 51, 280, 429, 35, 203, 906, 52, 280, 429, 35, 203, 906, 51, 280, 298, 32, 1297, 6221, 3050, 26, 1439, 15679, 47, 34, 30, 1695, 15733, 4735, 1284, 47, 12316, 30, 1695, 2731, 6020, 34, 32, 39, 30, 225, 34, 30, 225, 35, 1130, 203, 906, 52, 280, 298, 32, 1297, 6221, 3050, 26, 1439, 15679, 47, 34, 30, 715, 1695, 15733, 4735, 1284, 47, 12316, 1705, 30, 715, 1695, 2731, 47, 1439, 2731, 52, 30, 715, 1695, 13980, 47, 1439, 13980, 52, 27, 203, 43091, 280, 225, 37, 203, 1489, 7807, 280, 428, 35, 30, 225, 34, 30, 225, 34, 79, 203, 928, 606, 280, 298, 32, 669, 1240, 3529, 1811, 26, 928, 1792, 20792, 6020, 34, 30, 225, 34, 30, 225, 34, 614, 1014, 1628, 705, 20792, 6020, 34, 30, 225, 34, 30, 225, 34, 614, 1014, 1628, 1514, 7807, 47, 1489, 7807, 30, 1014, 43427, 47, 43091, 30, 1014, 12535, 1043, 47, 34, 27, 203, 20533, 280, 225, 34, 203, 34552, 280, 225, 34, 203, 5525, 308, 98, 32, 45289, 22805, 334, 22746, 1454, 225, 34, 32, 34, 35, 334, 415, 308, 20533, 2377, 225, 37, 32, 35, 38, 35, 39, 319, 225, 36, 32, 711, 284, 22746, 280, 225, 34, 334, 45749, 1454, 225, 34, 32, 34, 35, 334, 415, 308, 34552, 2377, 225, 37, 32, 35, 38, 35, 39, 319, 225, 36, 32, 711, 284, 45749, 280, 225, 34, 334, 1695, 13980, 52, 280, 298, 32, 371, 26467, 1792, 31212, 2009, 34552, 30, 22746, 30, 225, 34, 1130, 334, 415, 308, 906, 52, 2377, 225, 34, 711, 284, 298, 32, 4534, 1761, 2731, 2185, 13980, 26, 906, 52, 30, 1695, 2731, 52, 30, 1695, 13980, 52, 27, 334, 415, 308, 539, 15733, 4735, 1625, 711, 284, 28401, 280, 298, 32, 371, 34940, 6834, 26, 1548, 51, 6593, 35, 30, 6035, 3361, 52, 6593, 35, 30, 6035, 7291, 47, 35, 34, 34, 30, 6035, 20471, 4735, 51, 47, 12316, 30, 6035, 20471, 4735, 52, 47, 12316, 1705, 30, 6035, 20471, 4735, 2731, 51, 6020, 34, 32, 39, 30, 225, 34, 30, 225, 35, 614, 6035, 20471, 4735, 2731, 52, 47, 1439, 2731, 52, 30, 6035, 20471, 4735, 13980, 52, 47, 1439, 13980, 52, 27, 334 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 4, 2, 2, 0, 1, 1, 0, 4, 3, 4, 3, 5, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 0, 4, 3, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 3, 3, 4, 3, 0, 3, 2, 2, 4, 5, 5, 5, 4, 6, 5, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 5, 6, 6, 6, 6, 4, 4, 6, 6, 5, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 4, 6, 5, 5, 6, 6, 6, 5, 5, 6, 5, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 0, 3, 3, 2, 2, 4, 0, 3, 3, 2, 2, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 4, 6, 5, 7, 7, 7, 6, 6, 7, 6, 6, 7, 6, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 6, 4, 4, 4, 6, 5, 6, 6, 6, 4, 4, 4, 6, 5, 6, 6, 6, 4, 0, 3, 2, 2, 3, 0, 3, 3, 2, 2, 4, 3, 3, 4, 3, 3, 4, 3, 0, 3, 3, 2, 2, 4, 5, 5, 5, 5, 4, 6, 6, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 4, 4, 6, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 4, 4, 6, 6, 5, 6, 6, 4, 4, 4, 5, 6, 4, 4, 4, 6, 5, 6, 4, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 1, 1, 5, 4, 5, 4, 1, 1, 4, 4, 5, 5, 5, 5, 2, 2, 3, 6, 5, 5, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 4, 3, 3, 6, 6, 7, 2, 2, 4, 4, 5, 5, 5, 5, 2, 2, 3, 6, 5, 5, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 4, 3, 3, 6, 6, 7, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 8, 7, 7, 7, 7, 8, 7, 2, 2, 3, 6, 6, 5, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 5, 5, 5, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 9, 11, 8, 8, 8, 10, 9, 11, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 8, 8, 10, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 10, 9, 10, 10, 10, 8, 3 ]	[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 0, 5, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 3, 2, 2, 1, 1, 1, 0, 5, 2, 2, 2, 1, 1, 1, 0, 7, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 3, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 5, 2, 2, 1, 1, 1, 7, 2, 1, 1, 1, 0, 9, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 18, 18, 0, 0, 2, 1, 18, 18, 0, 0, 2, 2, 2, 2, 3, 3, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 3, 3, 0, 0, 2, 2, 2, 2, 3, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 3, 3, 5, 0, 0, 1, 1, 2, 1, 5, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 3, 3, 6, 1, 1, 1, 1, 1, 6, 6, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 3, 1, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 0, 0, 9, 2, 2, 1, 1, 1, 0, 0, 0, 11, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 0, 13, 2, 2, 2, 1, 1, 1, 0, 0, 0, 15, 2, 2, 2, 1, 6 ]
[ 465, 6677, 36, 203, 465, 3619, 39141, 619, 345, 8902, 203, 823, 475, 7453, 959, 16056, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 2848, 280, 345, 8902, 32, 2848, 81, 5792, 346, 291, 630, 32, 2848, 32, 1945, 463, 2087, 5841, 42885, 31, 86, 4911, 25844, 291, 630, 32, 1160, 280, 1665, 291, 665, 5683, 54, 7453, 1160, 26, 784, 30, 1542, 30, 3400, 30, 7528, 30, 32209, 30, 10477, 8095, 30, 12939, 1731, 30, 12939, 8095, 1731, 30, 225, 3775, 1769, 96, 2081, 106, 969, 101, 30, 18714, 30, 1929, 4426, 30, 712, 30, 2604, 30, 390, 711, 324, 630, 32, 2848, 32, 1945, 463, 2087, 5841, 3239, 25844, 324, 630, 32, 2848, 32, 524, 853, 463, 1160, 370, 1542, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 966, 370, 3400, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 8095, 370, 7528, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 24737, 370, 32209, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 6386, 8095, 370, 10477, 8095, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 1731, 370, 12939, 1731, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 8095, 1731, 370, 12939, 8095, 1731, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 16537, 81, 7899, 370, 35048, 2081, 106, 969, 101, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 22879, 370, 18714, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 1516, 81, 4426, 370, 1929, 4426, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 666, 370, 712, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 2142, 370, 2604, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 53, 370, 390, 27, 324, 630, 32, 2848, 32, 1945, 463, 96, 1160, 280, 5683, 26, 1160, 30, 966, 30, 8095, 32, 24737, 30, 6386, 8095, 30, 1731, 30, 8095, 1731, 30, 1449, 81, 1516, 81, 327, 15795, 1882, 30, 22879, 30, 1516, 81, 4426, 30, 666, 30, 2142, 30, 53, 19188, 324, 630, 32, 1160, 280, 630, 32, 2848, 32, 371, 853, 463, 96, 1160, 683, 324, 630, 32, 2848, 32, 1945, 463, 2087, 11762, 683, 291, 665, 11140, 959, 26, 893, 30, 41011, 30, 1769, 81, 1516, 711, 324, 415, 630, 32, 1160, 610, 1665, 44, 324, 630, 32, 2848, 32, 1945, 463, 2087, 5841, 5905, 25844, 324, 630, 32, 2848, 32, 524, 853, 463, 449, 370, 1778, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 1160, 370, 630, 32, 1160, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 8, 9, 9, 9, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 5, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 6, 6, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 11, 9, 10, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 10, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 11, 9, 10, 10, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 11, 11, 9, 10, 10, 10, 10, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 11, 11, 9, 10, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 8, 8, 11, 12, 10, 11, 11, 10, 12, 12, 12, 6, 6, 10, 11, 9, 10, 9, 11, 11, 11, 4, 4, 5, 6, 6, 7, 6, 6, 6, 6, 7, 7, 6, 5, 5, 7, 9, 10, 8, 8, 7, 6, 6, 10, 11, 9, 10, 9, 11, 11, 11, 11, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 10, 11, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 13, 2, 2, 15, 15, 2, 2, 2, 2, 17, 17, 17, 17, 17, 2, 2, 2, 2, 21, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 4, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 0, 2, 1, 1, 0, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 36287, 1188, 2908, 203, 1070, 20357, 32, 3378, 1188, 20671, 203, 1070, 7730, 32, 3378, 1188, 6211, 203, 589, 6765, 26, 1357, 711, 284, 442, 2908, 26, 1357, 30, 330, 2833, 32, 916, 370, 301, 291, 330, 1393, 81, 27512, 950, 20671, 32, 5740, 32, 464, 346, 2867, 39, 614, 284, 1790, 203, 589, 4096, 81, 668, 81, 19747, 26, 1357, 711, 284, 442, 2908, 26, 1357, 30, 330, 1935, 31, 668, 31, 19747, 32, 916, 683, 203, 589, 7260, 81, 352, 26, 1357, 711, 284, 442, 2908, 26, 1357, 30, 330, 5546, 31, 352, 32, 916, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 5, 6, 6, 9, 9, 9, 9, 7, 11, 12, 10, 11, 10, 8, 10, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 5, 5, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 465, 11626, 13629, 81, 42139, 203, 465, 2322, 203, 465, 22977, 203, 1070, 4134, 1188, 1623, 18241, 203, 465, 18912, 501, 896, 203, 1070, 10381, 93, 39583, 32, 21408, 1188, 1420, 81, 6656, 203, 1070, 10381, 93, 39583, 32, 34745, 1188, 4448, 30, 5170, 203, 1070, 6346, 452, 2255, 1188, 13249, 203, 1070, 6346, 452, 2255, 1188, 3383, 203, 589, 1420, 81, 1786, 26, 983, 81, 3718, 452, 2255, 81, 4687, 30, 1519, 81, 8336, 270, 896, 81, 4687, 711, 284, 3383, 32, 1664, 5191, 26, 983, 81, 3718, 452, 2255, 81, 4687, 27, 284, 1519, 81, 8336, 270, 896, 81, 4687, 280, 2322, 32, 983, 32, 21379, 26, 983, 81, 8336, 270, 896, 81, 4687, 27, 284, 1519, 81, 2613, 280, 2361, 32, 944, 26, 1676, 26, 983, 81, 8336, 270, 896, 81, 4687, 30, 330, 100, 2847, 710, 2613, 4902, 983, 785, 284, 907, 81, 2536, 280, 225, 301, 3056, 1574, 950, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 21379, 6824, 1840, 2847, 320, 284, 415, 2322, 32, 983, 32, 34103, 26, 983, 81, 2613, 711, 291, 1201, 26, 1657, 26, 983, 81, 2613, 27, 848, 225, 39, 27, 291, 22977, 32, 100, 41718, 26, 983, 81, 2613, 27, 284, 1123, 280, 7074, 452, 2255, 2059, 26, 983, 81, 8336, 270, 896, 81, 4687, 30, 3383, 32, 371, 1157, 284, 1420, 81, 6656, 463, 34, 32, 34, 32, 34, 32, 34, 370, 225, 42, 34, 42, 34, 30, 1123, 30, 907, 81, 2536, 47, 1574, 81, 2536, 27, 203, 823, 7074, 452, 2255, 2059, 26, 8069, 501, 896, 32, 3951, 25885, 414, 2059, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1519, 81, 4687, 30, 6346, 452, 2255, 81, 4687, 711, 291, 18912, 501, 896, 32, 3951, 25885, 414, 2059, 3667, 1664, 3207, 784, 30, 1519, 81, 4687, 27, 291, 630, 32, 3718, 452, 1163, 280, 6346, 452, 2255, 81, 4687, 291, 630, 32, 3235, 15849, 7167, 280, 13249, 32, 850, 81, 5905, 26, 1891, 630, 32, 3718, 452, 1163, 32, 371, 440, 8384, 3839, 392, 313, 4243, 81, 1793, 81, 314, 2113, 1891, 630, 32, 3718, 452, 1163, 32, 371, 440, 6533, 3839, 1461, 3235, 15849, 81, 1793, 81, 314, 2131, 291, 13590, 7167, 280, 13249, 32, 850, 81, 5905, 26, 784, 32, 3718, 452, 1163, 32, 371, 440, 6533, 3839, 392, 313, 4066, 81, 17857, 2113, 9474, 630, 32, 3718, 452, 1163, 32, 371, 440, 8384, 3839, 392, 313, 4243, 81, 1793, 81, 314, 2113, 9474, 630, 32, 3718, 452, 1163, 32, 371, 440, 6533, 3839, 392, 313, 11464, 81, 1793, 81, 314, 2113, 9474, 2129, 37346, 106, 370, 330, 107, 370, 330, 426, 370, 330, 1449, 12736, 2847, 291, 630, 32, 678, 720, 280, 1605, 291, 630, 32, 7288, 1607, 12736, 280, 1605, 291, 630, 32, 1311, 10136, 7167, 280, 5436, 346, 291, 436, 3414, 328, 13590, 7167, 44, 324, 533, 280, 1897, 26, 2204, 7167, 77, 3038, 5795, 106, 3490, 324, 816, 280, 1897, 26, 2204, 7167, 77, 3038, 5795, 107, 3490, 324, 1780, 280, 13590, 7167, 77, 3038, 5795 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 5, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 8, 9, 8, 10, 10, 11, 11, 11, 11, 11, 11, 11, 10, 10, 12, 12, 6, 8, 8, 7, 7, 2, 2, 5, 5, 4, 4, 4, 5, 8, 8, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 12, 12, 5, 2, 2, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 3, 3, 6, 9, 9, 10, 10, 10, 9, 7, 7, 8, 6, 4, 4, 7, 8, 8, 7, 8, 8, 8, 7, 2, 2, 4, 4, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 6, 6, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 9, 9, 8, 9, 9, 9, 9, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 8, 8, 11, 12, 12, 12, 10, 11, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 8, 8, 11, 12, 12, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 12, 11, 12, 12, 12, 10, 11, 10, 12, 12, 12, 10, 12, 12, 12, 12, 8, 8, 11, 12, 12, 12, 10, 11, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 8, 8, 11, 12, 12, 12, 10, 11, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 8, 8, 9, 12, 12, 10, 12, 12, 10, 12, 12, 10, 12, 12, 12, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 5, 5, 5, 6, 5, 5, 5, 8, 8, 10, 13, 13, 12, 13, 12, 13, 13, 6, 6, 8, 8, 10, 13, 13, 12, 13, 12, 13, 13, 6, 6, 8, 8, 11, 10, 11, 10 ]	[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 7, 7, 0, 8, 8, 0, 0, 8, 8, 0, 9, 9, 0, 0, 9, 9, 0, 10, 10, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 10, 10, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 0, 11, 11, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 11, 11, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 7, 7, 7, 3, 7, 7, 7, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 5, 5, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 5, 5, 0, 0, 0, 0, 2, 0 ]
[ 465, 4395, 203, 465, 2322, 203, 465, 29590, 203, 1070, 281, 7194, 604, 32, 2282, 32, 8636, 1188, 16233, 203, 1070, 281, 7194, 604, 32, 2282, 32, 17022, 1188, 14910, 30, 21454, 203, 1070, 281, 7194, 604, 32, 2282, 32, 5740, 1188, 2032, 203, 1070, 281, 7194, 604, 32, 1831, 1188, 281, 7194, 604, 81, 1297, 203, 1070, 281, 7194, 604, 32, 14481, 1188, 739, 81, 15598, 203, 1070, 281, 7194, 604, 32, 23575, 32, 15692, 1188, 22717, 203, 589, 894, 81, 17022, 81, 1664, 81, 1347, 496, 2262, 284, 739, 81, 15598, 26, 1433, 761, 32, 4765, 86, 1433, 1157, 284, 281, 7194, 604, 81, 1297, 26, 4687, 1279, 291, 313, 23575, 563, 301, 324, 313, 15692, 563, 301, 400, 313, 6565, 563, 2933, 30, 400, 313, 2035, 563, 313, 35, 32, 36, 32, 37, 32, 38, 392, 400, 313, 625, 563, 225, 38, 36, 38, 36, 30, 400, 313, 1199, 563, 313, 26018, 392, 324, 801, 291, 801, 284, 1790, 284, 345, 280, 14910, 346, 284, 345, 32, 1664, 346, 284, 1201, 345, 32, 6565, 438, 2933, 284, 1201, 345, 32, 12256, 610, 313, 35, 32, 36, 32, 37, 32, 38, 20, 284, 1201, 345, 32, 625, 610, 225, 38, 36, 38, 36, 284, 1201, 345, 32, 4603, 610, 313, 26018, 20, 284, 1201, 345, 32, 699, 438, 1665, 284, 1201, 345, 32, 2895, 438, 1665, 203, 589, 894, 81, 17022, 81, 1664, 81, 1793, 496, 2262, 284, 739, 81, 15598, 26, 1433, 761, 32, 4765, 86, 1433, 1157, 284, 281, 7194, 604, 81, 1297, 26, 4687, 1279, 291, 313, 23575, 563, 301, 324, 313, 15692, 563, 301, 400, 313, 6565, 563, 2933, 30, 400, 313, 699, 563, 313, 3986, 392, 400, 313, 2895, 563, 313, 1632, 392, 324, 801, 291, 801, 284, 1790, 284, 345, 280, 14910, 346, 284, 345, 32, 1664, 346, 284, 1201, 345, 32, 6565, 438, 2933, 284, 1201, 345, 32, 12256, 610, 313, 35, 36, 41, 32, 34, 32, 34, 32, 35, 20, 284, 1201, 345, 32, 625, 610, 225, 36, 41, 34, 35, 41, 284, 1201, 345, 32, 4603, 610, 313, 85, 7194, 604, 20, 284, 1201, 345, 32, 699, 610, 313, 3986, 20, 284, 1201, 345, 32, 2895, 610, 313, 1632, 20, 203, 50, 3613, 32, 2675, 440, 85, 7194, 604, 32, 2282, 32, 17022, 32, 978, 17022, 657, 203, 589, 894, 81, 17022, 81, 3517, 81, 1206, 6565, 26, 98, 711, 284, 739, 81, 15598, 26, 1433, 761, 32, 4765, 86, 1433, 1157, 284, 281, 7194, 604, 81, 1297, 346, 284, 345, 280, 14910, 346, 284, 345, 32, 1664, 346, 284, 345, 32, 3517, 346, 284, 298, 32, 16396, 1486, 32, 862, 81, 1206, 81, 10910, 346, 203, 50, 3613, 32, 2675, 440, 85, 7194, 604, 32, 2282, 32, 17022, 32, 3365, 2548, 657, 203, 50, 3613, 32, 2675, 440, 85, 7194, 604, 32, 2282, 32, 17022, 32, 978, 17022, 657, 203, 589, 894, 81, 17022, 81, 3517, 81, 3127, 81, 1347, 496, 26, 98, 30, 2678, 711, 284, 739, 81, 15598, 26, 1433, 761, 32, 4765, 86, 1433, 1157, 284, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 8, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 7, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 11, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 14, 14, 12, 13, 13, 13, 13, 11, 11, 11, 14, 14, 12, 14, 14, 11, 11, 9, 9, 7, 7, 2, 2, 4, 4, 6, 2, 2, 5, 6, 5, 2, 2, 3, 5, 6, 4, 4, 2, 2, 3, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 5, 6, 4, 4, 5, 5, 5, 5, 2, 2, 3, 5, 6, 4, 4, 6, 6, 2, 2, 3, 5, 6, 4, 4, 2, 2, 3, 5, 6, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 8, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 7, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 11, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 14, 14, 11, 11, 9, 9, 7, 7, 2, 2, 4, 4, 6, 2, 2, 5, 6, 5, 2, 2, 3, 5, 6, 4, 4, 2, 2, 3, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 5, 6, 4, 4, 5, 5, 5, 5, 5, 2, 2, 3, 5, 6, 4, 4, 6, 6, 6, 6, 2, 2, 3, 5, 6, 4, 4, 6, 6, 2, 2, 3, 5, 6, 4, 4, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 6, 6, 9, 9, 8, 9, 9, 9, 8, 3, 3, 6, 6, 6, 6, 6, 3, 3, 5, 5, 7, 3, 3, 6, 7, 6, 3, 3, 6, 7, 6, 3, 3, 7, 8, 8, 6, 7, 7, 7, 7, 7, 6, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 6, 6, 6, 9, 9, 8, 9, 9, 9, 8, 3, 3 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 9, 9, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 4, 4, 0, 2, 1, 4, 4, 4, 0, 2, 1, 1, 4, 4, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 0, 2, 1, 1, 2, 2, 2, 2, 4, 4, 7, 0, 2, 1, 1, 1, 2, 4, 4, 8, 0, 2, 1, 1, 4, 4, 9, 0, 2, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 2, 10, 10, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 4, 4, 0, 2, 1, 4, 4, 4, 0, 2, 1, 1, 4, 4, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 0, 2, 1, 1, 2, 2, 2, 2, 2, 4, 4, 7, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 8, 0, 2, 1, 1, 1, 2, 4, 4, 9, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 12, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 12, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4 ]
[ 465, 1913, 16515, 203, 465, 2322, 203, 465, 15798, 203, 465, 1984, 2208, 203, 465, 2099, 91, 203, 465, 5167, 203, 823, 399, 344, 7233, 26, 18986, 32, 7233, 711, 284, 21565, 81, 2413, 280, 313, 525, 555, 2807, 32, 978, 33, 2807, 20, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 51, 344, 7233, 30, 630, 547, 23741, 346, 291, 1913, 16515, 32, 4898, 346, 291, 630, 32, 6455, 81, 1237, 346, 291, 630, 32, 103, 303, 280, 2099, 91, 32, 3517, 463, 525, 555, 2807, 32, 978, 13093, 330, 858, 370, 330, 858, 683, 284, 665, 28921, 26, 784, 711, 291, 2599, 26, 51, 344, 7233, 30, 630, 547, 519, 282, 3211, 346, 291, 1913, 16515, 32, 5820, 346, 291, 1913, 16515, 32, 4534, 346, 284, 477, 17614, 284, 665, 1968, 81, 965, 26, 6933, 30, 319, 1132, 711, 291, 1984, 280, 9011, 32, 6177, 81, 2413, 291, 436, 1638, 328, 2181, 44, 324, 1984, 280, 1984, 2208, 32, 965, 2524, 26, 965, 474, 26610, 1638, 27, 291, 442, 1984, 284, 665, 13942, 81, 1237, 26, 784, 711, 291, 436, 4870, 328, 2322, 32, 26366, 463, 3287, 31, 1237, 7831, 324, 415, 4870, 32, 20643, 3949, 1260, 7831, 400, 623, 2156, 26, 500, 32, 983, 32, 2524, 463, 3287, 31, 1237, 370, 4870, 490, 619, 11828, 44, 528, 3361, 280, 11828, 32, 850, 346, 400, 630, 32, 6455, 26, 525, 16515, 32, 2788, 30, 330, 1237, 31, 2180, 370, 4870, 30, 3361, 47, 1548, 27, 284, 665, 13942, 26, 784, 30, 1411, 30, 319, 1132, 30, 1115, 5321, 711, 291, 1984, 280, 630, 32, 1832, 81, 965, 2740, 1132, 27, 291, 415, 10306, 32, 371, 463, 1548, 683, 438, 1665, 461, 330, 1517, 25, 646, 328, 10306, 44, 324, 10306, 710, 1517, 785, 280, 5167, 32, 7787, 32, 1347, 81, 1286, 291, 1913, 16515, 32, 3317, 81, 3423, 26, 1959, 30, 1984, 30, 7686, 1795, 81, 681, 347, 3164, 33, 1260, 392, 7686, 1115, 5321, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 8, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 8, 7, 8, 7, 4, 4, 8, 7, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 7, 5, 4, 4, 7, 7, 8, 9, 9, 9, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 12, 11, 12, 12, 11, 13, 12, 12, 11, 11, 5, 5, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 7, 9, 9, 9, 9, 5, 5, 7, 9, 10, 9, 11, 11, 7, 7, 9, 14, 18, 17, 18, 16, 17, 16, 18, 18, 18, 18, 16, 16, 12, 12, 9, 9, 9, 12, 12, 14, 15, 14, 8, 8, 11, 12, 11, 13, 13, 12, 13, 11, 11, 13, 13, 13, 13, 11, 11, 11, 12, 13, 11, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 8, 4, 4, 5, 9, 10, 9, 11, 11, 7, 7, 6, 6, 9, 9, 7, 7, 7, 5, 5, 5, 9, 11, 11, 8, 8, 10, 11, 9, 10, 10, 10, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 4, 4, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 7, 2, 1, 4, 4, 5, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 316, 108, 32, 7980, 1188, 16672, 203, 505, 1427, 505, 280, 16672, 32, 10258, 8412, 203, 589, 4705, 81, 3922, 26, 3922, 30, 9631, 1785, 47, 2700, 711, 284, 3097, 203, 589, 2016, 26, 6363, 30, 4118, 30, 6717, 81, 626, 81, 6332, 47, 2521, 711, 284, 645, 316, 108, 32, 4538, 1114, 1040, 1188, 1361, 7621, 30, 6826, 81, 1113, 7621, 284, 1188, 2322, 284, 1188, 316, 284, 918, 81, 928, 280, 2322, 32, 23407, 440, 5762, 81, 4780, 392, 7746, 284, 918, 81, 1493, 280, 2322, 32, 23407, 440, 5762, 81, 9864, 392, 7746, 284, 1596, 44, 291, 918, 81, 1493, 280, 629, 26, 980, 81, 1493, 27, 284, 2940, 44, 291, 918, 81, 1493, 280, 2069, 26, 980, 81, 928, 27, 284, 2401, 81, 1112, 280, 918, 81, 928, 32, 2998, 346, 6448, 35, 79, 284, 415, 918, 81, 928, 32, 20643, 26, 2135, 81, 1112, 711, 291, 5202, 280, 2401, 81, 1112, 284, 813, 44, 291, 5202, 280, 1665, 284, 665, 617, 3235, 81, 626, 26, 94, 30, 298, 711, 291, 8153, 280, 456, 32, 2998, 346, 291, 1638, 280, 1665, 291, 415, 8153, 44, 324, 1638, 280, 8153, 77, 34, 79, 324, 456, 81, 280, 456, 32, 94, 7201, 346, 324, 298, 5912, 308, 1657, 26, 94, 27, 429, 2069, 26, 94, 7912, 474, 2069, 26, 626, 490, 324, 456, 280, 456, 8850, 1657, 26, 626, 711, 79, 324, 442, 456, 30, 298, 30, 1638, 291, 442, 456, 30, 298, 30, 1638, 284, 1361, 2501, 280, 1665, 284, 918, 81, 928, 30, 918, 81, 1493, 30, 4774, 280, 617, 3235, 81, 626, 26, 980, 81, 928, 30, 918, 81, 1493, 27, 284, 415, 4774, 328, 2884, 26701, 392, 313, 26701, 2921, 10280, 291, 918, 81, 928, 30, 918, 81, 1493, 30, 1638, 280, 617, 3235, 81, 626, 26, 980, 81, 928, 30, 918, 81, 1493, 27, 291, 415, 1638, 44, 324, 415, 5202, 863, 1638, 44, 400, 1361, 2501, 280, 1638, 284, 813, 44, 291, 1361, 2501, 280, 4774, 32, 2998, 10359, 392, 225, 35, 5594, 31, 35, 79, 284, 415, 1361, 2501, 438, 1665, 44, 291, 33382, 280, 739, 26, 1113, 7621, 27, 429, 739, 26, 3864, 81, 1113, 7621, 27, 291, 415, 5202, 44, 324, 33382, 280, 308, 106, 436, 816, 328, 33382, 415, 816, 32, 15990, 26, 4254, 490, 291, 1459, 313, 4939, 2524, 26, 28988, 27, 284, 415, 1361, 2501, 646, 328, 1361, 7621, 44, 291, 442, 284, 9667, 280, 316, 32, 6993, 5528, 101, 287, 78, 101, 657, 284, 343, 13983, 4279, 280, 9667, 32, 32852, 26, 980, 81, 928, 27, 284, 436, 595, 30, 343, 10939, 328, 10703, 26, 583, 16670, 711, 291, 594, 280, 918, 81, 928, 32, 1809, 26, 583, 917, 27, 291, 2218, 918, 81, 928, 77, 92, 79, 863, 4825, 563, 324, 594, 1454, 225, 35, 291, 594, 1454, 225, 36, 291, 309, 280, 313, 64, 23, 86, 20, 904, 595, 291, 918, 81, 928, 280, 918, 81, 928, 2867, 92, 79, 474, 309, 474, 918, 81, 928, 77, 92, 10056, 291, 415, 918, 81, 1493 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 1, 1, 3, 5, 4, 5, 4, 5, 3, 3, 5, 3, 3, 5, 5, 5, 2, 2, 3, 2, 2, 3, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 2, 2, 3, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 3, 3, 4, 4, 4, 8, 8, 7, 7, 9, 10, 10, 10, 9, 2, 2, 5, 5, 4, 4, 8, 8, 7, 8, 7, 5, 7, 5, 2, 2, 3, 6, 6, 5, 6, 5, 6, 6, 6, 5, 3, 3, 6, 6, 7, 7, 3, 3, 4, 4, 4, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 8, 8, 9, 10, 9, 6, 6, 9, 8, 8, 10, 11, 11, 10, 6, 6, 8, 8, 13, 13, 14, 13, 11, 11, 13, 14, 14, 10, 10, 12, 13, 12, 6, 6, 8, 8, 10, 12, 12, 13, 12, 9, 6, 6, 7, 8, 8, 8, 8, 4, 4, 5, 6, 6, 6, 6, 2, 2, 5, 4, 4, 2, 2, 6, 6, 5, 5, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 4, 4, 7, 7, 5, 7, 7, 7, 3, 3, 8, 8, 7, 7, 8, 8, 7, 7, 6, 6, 8, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 4, 4, 5, 5, 5, 5, 7, 8, 8, 7, 7, 7, 11, 10, 10, 3, 3, 4, 4, 4, 8, 7, 7, 10, 11, 10, 12, 10, 11, 10, 9, 10, 8, 2, 2, 3, 5, 4, 4, 3, 3, 3, 6, 6, 9, 10, 10, 9, 7, 7, 9, 10, 10, 10, 10, 9, 4, 4, 5, 5, 5, 5, 8, 8, 10, 9, 10, 10, 10, 9, 10, 12, 13, 12, 13, 12, 4, 4, 5, 9, 8, 7, 8, 7, 2, 2, 3, 5, 4, 4, 4, 5, 3, 3, 3, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 5, 3, 3, 5, 6, 6, 5, 3, 3, 6, 6, 9, 9, 8, 9, 8, 9, 9, 8, 4, 4, 5, 8, 8, 7, 8, 7, 6, 6, 8, 5, 5, 8, 8, 9, 4, 4, 6, 6, 7, 4, 4, 6, 6, 9, 9, 9, 9, 7, 7, 4, 4, 7, 7, 6, 6, 10, 10, 9, 11, 9, 8, 8, 7, 7, 9, 9, 8, 10, 9, 4, 4, 5, 7, 7 ]	[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 2, 0, 3, 3, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 3, 3, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 4, 4, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 5, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 4, 4, 7, 0, 0, 0, 2, 1, 1, 1, 1, 1, 7, 7, 0, 0, 2, 2, 7, 7, 4, 4, 4, 0, 0, 4, 4, 8, 1, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 0, 2, 1, 4, 4, 0, 0, 4, 4, 2, 2, 2, 2, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 3, 3, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 11, 1, 1, 1, 2, 2, 1, 1, 2, 11, 11, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 11, 11, 4, 4, 4, 0, 0, 0, 0, 2, 1, 2, 1, 3, 1, 2, 1, 2, 4, 4, 12, 0, 1, 1, 12, 12, 12, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 3, 0, 2, 1, 1, 1, 3, 3, 2, 1, 2, 1, 1, 1, 4, 4, 13, 0, 1, 1, 1, 2, 13, 13, 13, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 16, 1, 1, 2, 16, 16, 1, 1, 1, 1, 16, 16, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 5, 5, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 5, 5, 0, 0, 2, 5, 5, 0, 0, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 5, 5, 5, 0, 0 ]
[ 1277, 765, 203, 9592, 750, 17488, 4442, 32, 203, 1792, 3519, 372, 312, 1451, 30, 1451, 372, 3519, 30, 5774, 32, 203, 9592, 203, 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1270, 44, 284, 588, 264, 588, 264, 588, 264, 1188, 29252, 331, 284, 29252, 331, 32, 2620, 346, 203, 7343, 29986, 44, 284, 3097, 203, 465, 7395, 14510, 203, 1070, 1671, 1188, 8921, 203, 1070, 40239, 1188, 4942, 203, 1070, 40239, 1114, 8524, 1188, 438, 81, 5823, 30, 323, 30, 3432, 30, 622, 81, 1112, 81, 18842, 30, 20024, 81, 12644, 30, 29420, 81, 12644, 203, 589, 3519, 36, 410, 26, 1294, 81, 3651, 711, 284, 540, 9592, 609, 11217, 312, 1149, 432, 3519, 556, 600, 225, 42, 31, 2400, 802, 372, 600, 4991, 32, 284, 5076, 1471, 15390, 5852, 30, 9336, 561, 372, 1629, 7328, 2124, 9354, 42, 1932, 32, 284, 8217, 8580, 35, 36, 42, 319, 225, 36, 39, 40, 27, 474, 225, 40, 38, 27, 319, 225, 36, 39, 40, 27, 474, 225, 35, 39, 275, 42, 38, 34, 39, 34, 34, 41, 284, 8217, 3519, 36, 410, 9442, 106, 42, 34, 23110, 106, 34, 88, 683, 275, 42, 38, 34, 39, 34, 34, 41, 284, 5881, 284, 442, 629, 26, 1771, 14510, 32, 6949, 13212, 26, 1294, 81, 3651, 471, 225, 35, 40, 27, 203, 589, 617, 410, 36, 3651, 26, 2171, 30, 2163, 81, 891, 47, 2521, 711, 284, 540, 9592, 609, 11217, 312, 1451, 372, 312, 802, 432, 3519, 32, 284, 10484, 403, 291, 8217, 617, 410, 36, 3651, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 27, 291, 3228, 106, 34, 41, 13644, 16524, 78, 106, 35, 39, 25, 291, 8217, 3519, 36, 410, 2176, 410, 36, 3651, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 490, 276, 35, 36, 37, 38, 39, 40, 41, 42, 43, 291, 8217, 617, 410, 36, 3651, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 30, 225, 40, 27, 291, 3228, 106, 34, 34, 78, 106, 34, 34, 78, 106, 34, 41, 13644, 16524, 78, 106, 35, 39, 25, 291, 8217, 3519, 36, 410, 2176, 410, 36, 3651, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 30, 225, 35, 36, 42, 490, 276, 35, 36, 37, 38, 39, 40, 41, 42, 43, 291, 8217, 617, 410, 36, 3651, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 30, 225, 37, 27, 291, 43969, 308, 7320, 8289, 1476, 2401, 711, 291, 2417, 291, 35207, 924, 44, 489, 15854, 225, 38, 3519, 436, 1451, 30, 1273, 2163, 1334, 438, 225, 37, 284, 477, 753, 1451, 44, 322, 1451, 372, 4483, 284, 477, 753, 2163, 81, 891, 44, 322, 1451, 432, 3519, 372, 1688, 32, 1670, 322, 1451, 11830, 372, 291, 3519, 438, 6679, 2784, 458, 30, 322, 2163, 1098, 526, 5934, 31, 34294, 32, 5076, 646, 2702, 30, 291, 322, 4717, 2163, 438, 646, 35966, 32, 284, 477, 5117, 35207, 924, 1412, 2163, 81, 891, 438, 2702, 461, 322, 1451, 8727, 973, 1829, 291, 3519, 2784, 8157, 1991, 322 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 6, 5, 6, 5, 1, 2, 2, 2, 2, 2, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 8, 8, 7, 8, 8, 7, 8, 8, 8, 7, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]	[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 2, 1, 3, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 9, 9, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 1070, 19090, 81, 41622, 32, 1832, 1188, 4361, 558, 203, 1070, 19090, 81, 41622, 32, 7954, 4441, 81, 1040, 1188, 1487, 81, 7954, 4441, 81, 2848, 203, 1070, 19090, 81, 41622, 32, 2796, 1188, 7474, 3313, 4152, 203, 1070, 19090, 81, 41622, 32, 5558, 32, 4775, 81, 2546, 81, 8282, 81, 893, 1188, 13423, 81, 32962, 695, 203, 1070, 2322, 3883, 32, 2304, 1188, 31376, 2790, 81, 5074, 81, 371, 203, 823, 19756, 4433, 1658, 26, 2626, 3313, 4152, 711, 284, 1202, 280, 330, 10281, 81, 2544, 81, 893, 25, 284, 438, 81, 11327, 81, 452, 81, 5066, 280, 3177, 284, 665, 1156, 1664, 3207, 784, 30, 2899, 265, 30, 10153, 30, 17126, 4441, 81, 2544, 81, 1832, 30, 17126, 4441, 81, 8494, 30, 17126, 4441, 81, 6482, 81, 23545, 81, 1515, 47, 2521, 711, 291, 2599, 26, 8826, 4433, 1658, 30, 630, 14585, 1664, 3207, 2795, 265, 30, 10153, 27, 291, 17126, 4441, 81, 2393, 81, 1338, 280, 1665, 291, 415, 17126, 4441, 81, 6482, 81, 23545, 81, 1515, 44, 324, 17126, 4441, 81, 2393, 81, 1338, 280, 301, 400, 330, 6482, 81, 23545, 81, 1515, 950, 17126, 4441, 81, 6482, 81, 23545, 81, 1515, 30, 324, 320, 291, 630, 32, 7954, 4441, 81, 2848, 280, 1487, 81, 7954, 4441, 81, 2848, 26, 7954, 4441, 81, 8494, 30, 17126, 4441, 81, 2393, 81, 1338, 27, 291, 1596, 44, 324, 630, 32, 7954, 4441, 81, 2544, 81, 1832, 280, 629, 26, 7954, 4441, 81, 2544, 81, 1832, 27, 291, 2940, 10091, 44, 324, 630, 32, 7954, 4441, 81, 2544, 81, 1832, 280, 17126, 4441, 81, 2544, 81, 1832, 291, 630, 1114, 7954, 4441, 81, 2544, 81, 1832, 81, 1338, 280, 1665, 291, 630, 1114, 20195, 280, 1665, 291, 630, 1114, 890, 81, 2544, 81, 893, 280, 1665, 284, 665, 1420, 26, 784, 711, 291, 630, 32, 1809, 81, 20195, 346, 291, 630, 32, 1613, 81, 890, 81, 2544, 81, 893, 346, 291, 630, 32, 4635, 81, 890, 81, 2544, 81, 893, 346, 291, 630, 32, 470, 81, 890, 81, 2544, 81, 893, 346, 291, 442, 630, 1114, 7954, 4441, 81, 2544, 81, 1832, 81, 1338, 710, 314, 785, 284, 665, 2290, 81, 20195, 26, 784, 711, 291, 630, 1114, 20195, 280, 308, 784, 32, 1809, 81, 20195, 81, 1070, 81, 1832, 346, 556, 4985, 630, 32, 1809, 81, 20195, 81, 1070, 81, 8929, 1157, 291, 415, 646, 630, 1114, 20195, 44, 324, 3636, 26405, 463, 51, 19655, 13600, 436, 36209, 4441, 1968, 25039, 9692, 100, 6653, 1597, 646, 2431, 25, 7686, 638, 1643, 26, 784, 1114, 7954, 4441, 81, 2544, 81, 1832, 81, 1338, 490, 284, 665, 2290, 81, 20195, 81, 1070, 81, 1832, 26, 784, 711, 291, 630, 1114, 7954, 4441, 81, 2544, 81, 1832, 81, 1338, 280, 630, 32, 7954, 4441, 81, 2848, 32, 371, 3313, 26, 784, 32, 7954, 4441, 81, 2544, 81, 1832, 27, 291, 415, 646, 630, 1114, 7954, 4441, 81, 2544, 81, 1832, 81, 1338, 44, 324, 3636, 26405, 463, 27090, 4441, 1968 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 5, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 9, 9, 9, 9, 9, 8, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 11, 11, 11, 10, 5, 5, 6, 6, 6, 6, 10, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 5, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 8, 8, 8, 10, 11, 11, 11, 11, 11, 11, 11, 10, 4, 4, 5, 6, 7, 8, 5, 5, 5, 7, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 11, 13, 12, 13, 13, 13, 13, 13, 13, 13, 13, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 10, 8, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 8, 4, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 7, 9, 13, 13, 13 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 6, 6, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 7, 7, 7, 7, 7, 2, 2, 9, 9, 9, 2, 2, 0, 0, 0, 0, 0, 0, 0, 11, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 4, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 14999, 81, 17099, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 8348, 81, 4156, 203, 465, 14785, 32, 2958, 32, 4156, 32, 3997, 81, 4943, 261, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 5239, 81, 7490, 203, 50, 4156, 32, 4329, 15316, 440, 8418, 10845, 657, 203, 589, 617, 3371, 81, 4943, 26, 12085, 81, 520, 30, 8056, 711, 334, 442, 1417, 81, 4156, 32, 16547, 26, 4943, 27, 203, 50, 4156, 32, 4329, 15316, 440, 20329, 7483, 2315, 657, 203, 589, 617, 10095, 81, 4943, 26, 12085, 81, 520, 30, 8056, 711, 334, 442, 2065, 32, 10095, 319, 8056, 203, 823, 31950, 14003, 1006, 26, 858, 32, 7233, 711, 334, 665, 894, 1103, 5291, 26, 784, 711, 284, 2065, 32, 3855, 32, 7389, 26, 35, 27, 10065, 623, 630, 32, 858, 81, 2848, 26, 539, 81, 9873, 47, 2700, 711, 397, 1334, 280, 308, 36, 30, 225, 37, 27, 397, 816, 35, 280, 8082, 81, 520, 32, 8662, 26, 36, 32, 34, 30, 6024, 47, 891, 30, 636, 347, 106, 35, 657, 397, 816, 36, 280, 8082, 81, 520, 32, 8662, 26, 37, 32, 34, 30, 6024, 47, 891, 30, 636, 347, 106, 36, 657, 397, 533, 280, 7744, 81, 4156, 32, 669, 26, 106, 35, 30, 816, 36, 30, 636, 347, 107, 657, 397, 1048, 280, 14999, 81, 17099, 32, 7924, 81, 11260, 81, 731, 26, 106, 35, 30, 1334, 30, 533, 30, 1334, 27, 284, 5239, 81, 7490, 32, 1338, 440, 106, 35, 1048, 280, 904, 88, 392, 1048, 27, 284, 1201, 1048, 333, 225, 35, 87, 31, 38, 334, 665, 894, 1103, 5291, 14871, 26, 784, 711, 284, 2065, 32, 3855, 32, 7389, 26, 36, 27, 10065, 623, 630, 32, 858, 81, 2848, 26, 539, 81, 9873, 47, 1815, 711, 397, 1334, 280, 308, 36, 30, 225, 37, 27, 397, 816, 35, 280, 8082, 81, 520, 32, 8662, 26, 36, 32, 34, 30, 6024, 47, 891, 30, 636, 347, 106, 35, 657, 397, 816, 36, 280, 8082, 81, 520, 32, 8662, 26, 37, 32, 34, 30, 6024, 47, 891, 30, 636, 347, 106, 36, 657, 397, 533, 280, 7744, 81, 4156, 32, 669, 26, 106, 35, 30, 816, 36, 30, 636, 347, 107, 657, 397, 1048, 280, 14999, 81, 17099, 32, 7924, 81, 11260, 81, 731, 26, 106, 35, 30, 1334, 30, 533, 30, 1334, 27, 284, 5239, 81, 7490, 32, 1338, 440, 106, 35, 1048, 280, 904, 88, 392, 1048, 27, 284, 1201, 1048, 333, 225, 35, 87 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 0, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 2, 5, 4, 5, 5, 4, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 4, 7, 7, 6, 7, 6, 7, 6, 0, 2, 5, 4, 5, 5, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 4, 6, 7, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 9, 10, 10, 10, 9, 11, 11, 11, 10, 11, 9, 5, 5, 8, 8, 10, 9, 9, 10, 9, 6, 6, 9, 8, 8, 11, 11, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 10, 11, 13, 13, 13, 6, 6, 9, 8, 8, 11, 11, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 10, 11, 13, 13, 13, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 11, 10, 10, 11, 10, 10, 11, 13, 13, 6, 6, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 11, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 6, 6, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 9, 10, 10, 10, 9, 11, 11, 11, 10, 11, 9, 5, 5, 8, 8, 10, 9, 9, 10, 9, 6, 6, 9, 8, 8, 11, 11, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 10, 11, 13, 13, 13, 6, 6, 9, 8, 8, 11, 11, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 10, 11, 13, 13, 13, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 11, 10, 10, 11, 10, 10, 11, 13, 13, 6, 6, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 11, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 6, 6, 7, 7 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 14, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 16, 16, 1, 1, 2, 0, 1, 2, 2, 16, 16, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 2, 2 ]
[ 465, 4527, 203, 465, 9877, 81, 4275, 203, 465, 6314, 34268, 203, 465, 6314, 203, 465, 438, 1729, 23718, 203, 465, 7680, 550, 81, 4538, 203, 465, 2322, 203, 465, 12460, 203, 465, 1133, 203, 465, 309, 19912, 1040, 203, 465, 7680, 98, 81, 94, 17642, 203, 465, 7680, 98, 81, 49149, 1040, 203, 465, 5684, 6979, 203, 465, 316, 203, 465, 341, 34224, 81, 2957, 203, 43041, 81, 49149, 81, 761, 280, 2430, 6698, 33, 43041, 33, 297, 1729, 314, 31, 49149, 32, 2957, 20, 203, 43041, 81, 1536, 81, 761, 280, 2430, 6698, 33, 43041, 33, 297, 1729, 314, 31, 1536, 32, 2957, 20, 203, 43041, 81, 761, 280, 2430, 6698, 33, 43041, 33, 297, 1729, 314, 32, 2957, 20, 203, 54, 1456, 10348, 280, 2430, 17434, 33, 11076, 550, 20, 203, 10450, 5834, 3687, 4065, 280, 2430, 1902, 33, 13474, 20, 203, 10450, 6265, 779, 4065, 280, 2430, 1902, 33, 10300, 33, 1170, 31, 314, 20, 203, 10450, 6265, 2117, 69, 2027, 3336, 280, 2430, 1902, 33, 10300, 33, 1170, 31, 47879, 16903, 20, 203, 10450, 6265, 1456, 66, 4065, 280, 2430, 1902, 33, 10300, 33, 1170, 31, 29029, 20, 203, 12511, 6883, 81, 4065, 20183, 3731, 33, 823, 33, 49114, 81, 2035, 25, 203, 39926, 54, 81, 4065, 20183, 869, 33, 1945, 33, 1877, 317, 593, 550, 86, 32, 978, 32, 6320, 25, 203, 1456, 81, 521, 4855, 3197, 280, 2430, 1902, 33, 10300, 33, 317, 383, 539, 20, 203, 1456, 66, 2788, 51, 37109, 2576, 10348, 280, 2430, 2215, 33, 106, 1229, 703, 33, 1771, 33, 2635, 31, 371, 31, 955, 314, 31, 31404, 1516, 20, 203, 589, 617, 297, 81, 49149, 81, 19186, 81, 10333, 2262, 284, 4774, 280, 36089, 17434, 33, 6320, 1028, 392, 4825, 101, 392, 2430, 17434, 33, 11076, 550, 86, 1446, 284, 308, 899, 30, 9362, 30, 8228, 27, 280, 4527, 32, 1409, 2493, 26, 3515, 27, 284, 442, 308, 899, 379, 34, 27, 203, 589, 617, 297, 81, 29029, 81, 19186, 81, 10333, 2262, 284, 415, 2322, 32, 983, 32, 4658, 26, 39926, 54, 81, 4065, 711, 291, 442, 2933, 284, 813, 44, 291, 442, 3177, 203, 589, 18189, 81, 1456, 1902, 26, 11649, 30, 7112, 711, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 1456, 81, 521, 4855, 3197, 711, 291, 2322, 32, 10174, 26, 1456, 81, 521, 4855, 3197, 27, 284, 415, 308, 29029, 81, 94, 17642, 32, 297, 81, 68, 23478, 62, 311, 26, 11649, 8531, 291, 12809, 280, 622, 81, 2922, 779, 81, 62, 311, 5493, 26, 11649, 27, 291, 26093, 81, 1793, 81, 12420, 280, 26093, 474, 20869, 474, 12809, 291, 1519, 280, 2322, 32, 983, 32, 2524, 26, 1456, 81, 521, 4855, 3197, 30, 26093, 81, 1793, 81, 12420, 27, 284, 813, 44, 291, 1519, 280, 2322, 32, 983, 32, 2524, 26, 1456, 81, 521, 4855, 3197, 30, 26093, 27, 284, 4774, 280, 2107, 2506, 370, 6470, 6449, 370, 7112, 30, 1519, 79, 284, 4527, 32, 98, 850, 36, 26, 3515, 27, 203, 589, 43292, 81, 1456, 1902, 26, 11649, 711, 284, 415, 308 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 2, 2, 6, 5, 6, 5, 6, 5, 4, 4, 6, 7, 7, 6, 7, 6, 2, 2, 3, 6, 5, 6, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 6, 7, 5, 6, 5, 6, 6, 6, 6, 5, 3, 3, 5, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 6, 3, 3, 7, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 6, 7, 6, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 3, 3, 4, 4, 4, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 9, 9, 2, 2, 4, 4, 7, 7, 5, 7, 7, 5, 5, 5, 5, 2, 2, 5, 6, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3 ]	[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 12, 12, 0, 0, 13, 13, 0, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 27, 27, 1, 1, 1, 1, 1, 1, 1, 2, 27, 27, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 3, 0, 5, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 0, 1, 2, 1, 0, 28, 28, 1, 1, 1, 1, 1, 1, 1, 2, 28, 28, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 29, 29, 1, 1, 1, 2, 1, 2, 2, 2, 29, 29, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 0, 30, 30, 1, 1, 1, 2, 1, 2, 30, 30, 0 ]
[ 465, 2068, 25814, 32, 21945, 203, 1070, 16539, 1188, 447, 1676, 30, 21925, 1304, 203, 465, 2322, 203, 465, 622, 4617, 203, 823, 4600, 10588, 2408, 15395, 26, 1323, 25814, 32, 21945, 32, 15395, 711, 284, 665, 622, 81, 1536, 81, 1163, 81, 4756, 26, 784, 711, 291, 1359, 81, 4756, 280, 2599, 26, 2027, 10588, 2408, 15395, 30, 1014, 630, 547, 371, 81, 1536, 81, 1163, 81, 4756, 346, 291, 1359, 81, 4756, 32, 1877, 1371, 324, 330, 1771, 950, 330, 1215, 372, 322, 4749, 911, 1052, 5298, 370, 324, 330, 539, 81, 9860, 950, 330, 4391, 12798, 20787, 324, 330, 9860, 81, 3515, 950, 330, 1215, 372, 12798, 370, 324, 330, 10402, 101, 950, 330, 7938, 45888, 619, 4487, 619, 9175, 25, 291, 1790, 291, 442, 1359, 81, 4756, 284, 665, 622, 81, 1536, 81, 1163, 26, 784, 711, 291, 1359, 280, 2599, 26, 2027, 10588, 2408, 15395, 30, 630, 547, 371, 81, 1536, 81, 1163, 346, 291, 1359, 32, 1877, 1371, 324, 330, 1771, 950, 2850, 3056, 3381, 33, 1771, 33, 639, 911, 1052, 370, 324, 330, 539, 81, 9860, 950, 263, 3177, 30, 324, 330, 9860, 81, 3515, 950, 263, 3056, 3381, 33, 1771, 33, 9860, 370, 324, 330, 983, 950, 2407, 330, 639, 4537, 32, 37737, 370, 324, 330, 10402, 101, 950, 958, 3177, 30, 291, 1790, 291, 442, 1359, 284, 665, 3185, 81, 853, 26, 784, 30, 786, 711, 291, 786, 280, 786, 32, 7201, 346, 291, 415, 786, 610, 330, 3258, 950, 324, 442, 1665, 291, 1596, 44, 324, 442, 1897, 26, 853, 27, 291, 2940, 44, 324, 3097, 291, 1596, 44, 324, 442, 1897, 32, 1070, 6949, 26, 853, 27, 291, 2940, 44, 324, 3097, 291, 442, 1665, 284, 665, 7901, 26, 784, 711, 291, 415, 308, 1206, 2322, 32, 3560, 26, 784, 32, 1163, 710, 1771, 2188, 2322, 32, 74, 81, 2950, 27, 324, 556, 308, 784, 32, 1163, 710, 539, 81, 9860, 785, 400, 461, 646, 2322, 32, 3560, 26, 784, 32, 1163, 710, 9860, 81, 3515, 2188, 2322, 32, 74, 81, 2950, 490, 711, 324, 442, 3177, 291, 2016, 280, 428, 784, 32, 1163, 710, 1771, 2188, 330, 12601, 785, 291, 415, 630, 32, 1163, 710, 539, 81, 9860, 785, 461, 622, 4617, 32, 371, 496, 346, 863, 330, 2388, 950, 324, 2016, 32, 3215, 26, 34, 30, 630, 32, 1163, 710, 9860, 81, 3515, 3490, 291, 298, 280, 447, 1676, 26, 2501, 30, 12532, 47, 18165, 547, 508, 48275, 8532, 34, 1674, 5979, 35, 79, 291, 436, 595, 30, 354, 328, 10703, 26, 98, 32, 2998, 5528, 96, 2131, 44, 324, 706, 280, 354, 32, 2998, 35619, 657, 324, 1596, 44, 400, 10021, 81, 426, 280, 706, 77, 34, 997, 7201, 922, 3227, 47575, 20079, 7286, 1895, 3227, 440, 3003, 4939, 657, 400, 8607, 280, 1605, 400, 415, 646, 630, 32, 1163, 710, 10402, 101, 12132, 528, 8607, 32, 1689, 1162, 7263, 81, 426, 30, 630, 32, 2208, 81, 853, 26, 605, 77, 35, 25200, 400, 813, 44, 528, 8607, 32, 1689, 1162, 7263, 81, 426, 474, 4939, 19971, 392 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 2, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 8, 8, 7, 8, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 8, 8, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 9, 8, 8, 8, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 9, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 9, 9, 8, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 8, 8, 5, 5, 7, 4, 4, 5, 5, 5, 7, 9, 10, 9, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 7, 9, 10, 10, 9, 10, 9, 5, 5, 6, 6, 6, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 8, 10, 11, 10, 13, 12, 13, 11, 13, 13, 10, 11, 12, 12, 12, 10, 7, 7, 7, 12, 11, 12, 10, 12, 12, 12, 12, 9, 9, 9, 10, 12, 13, 12, 15, 14, 15, 13, 15, 15, 15, 15, 12, 13, 14, 14, 14, 12, 6, 5, 5, 7, 4, 4, 6, 6, 10, 9, 10, 8, 10, 10, 7, 9, 9, 4, 4, 5, 8, 9, 7, 9, 9, 9, 9, 6, 6, 10, 9, 10, 10, 9, 7, 7, 9, 9, 5, 5, 9, 10, 9, 10, 9, 9, 11, 12, 10, 12, 12, 12, 12, 4, 4, 6, 6, 12, 12, 13, 12, 12, 13, 14, 12, 11, 11, 10, 9, 8, 8, 10, 7, 4, 4, 5, 6, 6, 5, 5, 7, 10, 9, 10, 9, 12, 11, 5, 5, 5, 8, 8, 10, 11, 10, 12, 6, 6, 7, 7, 7, 11, 11, 10, 10, 17, 18, 17, 17, 16, 15, 14, 14, 14, 16, 13, 12, 14, 12, 14, 8, 8, 10, 10, 8, 8, 9, 10, 12, 13, 11, 13, 13, 13, 9, 9, 13, 14, 13, 15, 15, 15, 14, 14, 16, 17, 17, 17, 16, 18, 17, 18, 17, 9, 9, 10, 10, 10, 14, 15, 14, 17, 17, 17, 16, 16, 18, 18 ]	[ 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 9, 9, 1, 1, 1, 4, 4, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 4, 4, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 0, 0, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 4, 4, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 4, 4, 4, 1, 1, 4, 4, 1, 0, 0, 2, 1, 0, 2, 4, 4, 4, 0, 0, 0, 2, 1, 2, 5, 5, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 4, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2 ]
[ 1070, 13047, 519, 315, 32, 4538, 32, 1439, 1188, 3772, 203, 823, 447, 29358, 26, 1761, 711, 284, 2016, 81, 1439, 280, 330, 33532, 31, 823, 25, 284, 477, 17614, 284, 665, 2197, 81, 2132, 26, 6933, 30, 2075, 47, 2521, 711, 291, 9011, 32, 2501, 81, 1113, 280, 330, 545, 31, 2132, 25, 291, 442, 9011, 32, 4526, 26, 6933, 1114, 6309, 81, 2501, 26, 2184, 471, 1688, 81, 1643, 1057, 4700, 683, 284, 477, 17614, 284, 665, 18548, 81, 9578, 26, 6933, 30, 2075, 47, 2521, 711, 291, 9011, 32, 2501, 81, 1113, 280, 330, 11383, 31, 9578, 25, 291, 442, 9011, 32, 4526, 26, 6933, 1114, 6309, 81, 2501, 26, 2184, 471, 1688, 81, 1643, 1057, 4700, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 5, 5, 6, 8, 9, 8, 11, 10, 11, 11, 11, 10, 11, 10, 8, 10, 10, 9, 11, 11, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 5, 5, 6, 8, 9, 8, 11, 10, 11, 11, 11, 10, 11, 10, 8, 10, 10, 9, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 32774, 45969, 203, 465, 6234, 203, 465, 1671, 203, 465, 316, 203, 465, 5237, 203, 465, 622, 4617, 203, 1070, 6234, 81, 2304, 1188, 319, 203, 823, 447, 8445, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1519, 30, 4096, 47, 2521, 30, 9541, 47, 2700, 30, 3097, 81, 16096, 47, 2521, 711, 291, 630, 32, 4416, 81, 8094, 280, 330, 44279, 32, 911, 32, 7589, 25, 291, 630, 32, 44279, 280, 32774, 45969, 32, 57, 7649, 26, 2314, 45969, 2833, 47, 983, 27, 291, 630, 32, 44279, 32, 10529, 280, 9541, 291, 630, 32, 1935, 280, 4096, 291, 630, 32, 37015, 280, 630, 32, 944, 81, 678, 26, 784, 32, 1935, 27, 291, 415, 630, 32, 37015, 438, 1665, 44, 324, 415, 225, 3097, 81, 16096, 438, 646, 1665, 44, 400, 1459, 330, 2023, 1202, 6092, 2431, 458, 4096, 32, 45222, 537, 1202, 81, 5210, 34196, 400, 630, 32, 2518, 81, 678, 81, 5210, 26, 4617, 81, 16096, 30, 630, 32, 1935, 27, 400, 630, 32, 678, 81, 1206, 81, 30939, 280, 2933, 324, 4348, 3097, 81, 16096, 438, 1665, 44, 400, 1459, 330, 705, 4450, 322, 1202, 312, 45070, 438, 5349, 25, 400, 5237, 32, 4775, 26, 35, 27, 291, 813, 44, 324, 630, 32, 678, 81, 1206, 81, 30939, 280, 3177, 284, 5881, 284, 3217, 322, 2401, 2530, 328, 322, 1149, 81, 3494, 346, 5436, 284, 5881, 284, 665, 2454, 81, 678, 26, 784, 30, 4096, 30, 945, 47, 1815, 711, 291, 831, 2665, 280, 630, 32, 44279, 32, 668, 81, 3494, 26, 2055, 27, 291, 45716, 280, 1665, 291, 11828, 280, 1665, 291, 436, 831, 328, 831, 2665, 44, 324, 415, 4096, 328, 596, 26, 93, 710, 1890, 101, 8150, 34, 10794, 400, 11828, 280, 596, 26, 93, 710, 37015, 3490, 291, 442, 11828, 284, 665, 4479, 81, 678, 81, 5210, 26, 784, 30, 3097, 81, 16096, 30, 4096, 47, 2521, 711, 291, 415, 4096, 863, 1665, 44, 324, 630, 32, 1935, 280, 4096, 291, 1509, 81, 605, 280, 630, 32, 44279, 32, 2518, 81, 678, 81, 1131, 26, 426, 81, 1935, 47, 784, 32, 1935, 30, 45070, 47, 4617, 81, 16096, 27, 291, 1202, 280, 630, 32, 44279, 32, 2518, 81, 678, 26, 1131, 81, 605, 27, 291, 630, 32, 37015, 280, 1202, 32, 37015, 291, 442, 1202, 284, 665, 4166, 81, 18835, 81, 452, 81, 761, 26, 784, 30, 1202, 81, 37015, 30, 803, 81, 426, 711, 291, 32431, 81, 3902, 12837, 81, 923, 81, 3494, 280, 630, 32, 44279, 32, 1358, 81, 3494, 26, 678, 81, 37015, 27, 291, 32431, 81, 3902, 12837, 81, 2055, 81, 3494, 280, 630, 32, 44279, 32, 1358, 81, 3494, 26, 678, 81, 37015, 30, 2933, 27, 291, 623, 2156, 15339, 101, 32, 9579, 25, 904, 803, 81, 426, 30, 330, 105, 683, 619, 296, 44, 324, 296, 32, 1821, 26, 14510, 81, 3902, 12837, 81, 923, 81, 3494, 27, 324, 296, 32, 1821, 26, 14510, 81, 3902, 12837, 81, 2055, 81, 3494, 27, 284, 665, 1188, 81, 18835, 81, 1070, 81, 761, 26, 784, 30 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 8, 10, 10, 10, 9, 10, 8, 4, 4, 8, 9, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 7, 8, 6, 6, 5, 5, 5, 7, 7, 9, 9, 8, 8, 8, 7, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 11, 12, 13, 11, 8, 8, 11, 12, 12, 12, 12, 12, 10, 10, 7, 7, 8, 10, 10, 9, 9, 8, 8, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 13, 12, 13, 12, 5, 5, 6, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 4, 4, 6, 6, 4, 4, 5, 5, 5, 6, 5, 5, 5, 7, 8, 8, 10, 13, 12, 14, 14, 14, 12, 11, 7, 7, 10, 10, 12, 14, 13, 15, 15, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 9, 10, 8, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 9, 11, 10, 11, 8, 8, 9, 10, 10, 10, 8, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 4, 4, 5, 10, 13, 13, 13, 13, 11, 11, 12, 12, 10, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 6, 6, 9, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4 ]	[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 0, 7, 7, 0, 8, 8, 1, 8, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 0, 9, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 5, 0, 2, 1, 1, 5, 5, 5, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 4, 0, 0, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 5, 5, 4, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 4, 4, 4, 3, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 4, 3, 3, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2 ]
[ 465, 2108, 57, 2983, 203, 465, 5237, 203, 325, 5237, 32, 5134, 610, 330, 4463, 37, 36, 950, 334, 894, 280, 2108, 57, 2983, 32, 1006, 57, 2983, 26, 17213, 11414, 874, 4849, 370, 330, 46756, 3490, 334, 5557, 3197, 280, 330, 42977, 31, 4545, 25, 334, 894, 32, 1945, 81, 24523, 463, 1204, 31, 24576, 32, 24523, 370, 663, 1515, 47, 1405, 3197, 27, 334, 894, 32, 1832, 463, 1204, 31, 24576, 32, 24523, 370, 894, 32, 2320, 30, 663, 1515, 47, 1405, 3197, 27, 334, 665, 1390, 1726, 7734, 26, 8022, 711, 284, 3536, 81, 983, 280, 894, 32, 8282, 81, 761, 81, 983, 26, 8022, 30, 663, 1515, 47, 1405, 3197, 27, 284, 442, 3228, 96, 2473, 2524, 26, 291, 816, 436, 816, 328, 894, 32, 1945, 81, 5937, 1771, 3247, 1285, 7734, 370, 3536, 81, 983, 547, 2998, 4446, 346, 4511, 415, 330, 2201, 25, 646, 328, 816, 27, 334, 2799, 81, 1285, 7734, 81, 6390, 280, 5881, 203, 81, 1831, 42265, 19836, 44, 664, 34, 34, 38, 34, 35, 34, 34, 34, 44, 551, 42, 225, 34, 39, 225, 34, 34, 225, 34, 34, 225, 34, 34, 262, 4234, 263, 19403, 30, 39, 664, 34, 34, 38, 34, 35, 34, 34, 39, 44, 390, 37, 423, 2152, 203, 49, 108, 7989, 75, 10978, 39729, 44, 664, 34, 34, 38, 34, 35, 34, 35, 34, 44, 551, 42, 225, 34, 37, 225, 34, 34, 225, 34, 34, 225, 34, 34, 262, 4234, 263, 19403, 30, 37, 664, 34, 34, 38, 34, 35, 34, 35, 39, 44, 390, 37, 423, 2152, 203, 49, 106, 7989, 75, 10978, 39729, 44, 664, 34, 34, 38, 34, 35, 34, 36, 34, 44, 551, 42, 225, 34, 35, 225, 34, 34, 225, 34, 34, 225, 34, 34, 262, 4234, 263, 19403, 30, 35, 664, 34, 34, 38, 34, 35, 34, 36, 39, 44, 390, 37, 423, 2152, 203, 49, 107, 7989, 75, 10978, 39729, 44, 664, 34, 34, 38, 34, 35, 34, 37, 34, 44, 551, 42, 225, 34, 36, 225, 34, 34, 225, 34, 34, 225, 34, 34, 262, 4234, 263, 19403, 30, 36, 664, 34, 34, 38, 34, 35, 34, 37, 39, 44, 390, 37, 423, 2152, 203, 81, 1831, 44, 664, 34, 34, 38, 34, 35, 34, 38, 34, 44, 225, 37, 37, 390, 34, 2850, 22073, 263, 19403, 30, 6948, 664, 34, 34, 38, 34, 35, 34, 38, 36, 44, 390, 37, 423, 2152, 203, 9592, 334, 415, 2799, 81, 1285, 7734, 81, 6390, 646, 328, 1390, 1726, 7734, 463, 858, 81, 24576, 81, 8022, 32, 8022, 7831, 284, 1459, 1390, 1726, 7734, 463, 858, 81, 24576, 81, 8022, 32, 8022, 683, 284, 894, 32, 5066, 81, 858, 346, 334, 2799, 81, 1285, 7734, 81, 1113, 15615, 280, 5881, 203, 81, 1831, 42265, 19836, 44, 664, 34, 34, 38, 34, 35, 34, 34, 34, 44, 551, 42, 225, 34, 39, 225, 34, 34, 225, 34, 34, 225, 34, 34, 262, 4234, 263, 19403, 30, 39, 664, 34, 34, 38, 34, 35, 34, 34, 39, 44, 390, 37, 423, 2152 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 4, 4, 4, 4, 1, 1, 4, 4, 7, 7, 6, 7, 7, 7, 6, 8, 7, 10, 10, 10, 8, 10, 10, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 7, 6, 7, 7, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 5, 6, 7, 5, 5, 7, 6, 7, 7, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 10, 9, 10, 10, 8, 4, 4, 5, 10, 9, 8, 7, 7, 7, 7, 8, 8, 8, 12, 13, 13, 13, 13, 12, 14, 14, 14, 12, 13, 13, 12, 11, 11, 10, 7, 7, 8, 11, 11, 9, 9, 9, 7, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 5, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]	[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 0, 5, 2, 2, 1, 3, 3, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 2, 2, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 6, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 5237, 203, 465, 617, 101, 268, 203, 465, 309, 268, 81, 2208, 203, 1070, 309, 268, 81, 9777, 1188, 319, 203, 1070, 617, 101, 268, 1188, 7482, 34770, 203, 862, 617, 101, 268, 32, 30924, 610, 40262, 1102, 30, 313, 69, 613, 2297, 22384, 20, 203, 325, 617, 101, 268, 32, 3521, 3364, 610, 225, 36, 44, 284, 7482, 3521, 280, 225, 40, 39, 39, 37, 39, 203, 1824, 44, 284, 7482, 3521, 280, 225, 34, 23838, 203, 589, 617, 8543, 1126, 26, 106, 711, 284, 442, 816, 203, 81, 24799, 81, 24916, 280, 739, 2009, 24799, 30, 2370, 81, 24799, 1130, 203, 81, 34770, 1392, 81, 24916, 280, 739, 2009, 34770, 30, 14369, 81, 34770, 30, 7482, 81, 34770, 1130, 203, 81, 6685, 81, 24916, 280, 739, 2009, 6685, 30, 33500, 1130, 203, 81, 6475, 81, 24916, 280, 739, 2009, 6475, 30, 6747, 81, 3908, 1130, 203, 589, 617, 6993, 26, 687, 30, 5257, 30, 5736, 711, 284, 9533, 280, 1340, 32, 1689, 284, 617, 1657, 280, 2069, 284, 498, 22166, 81, 24916, 280, 617, 24799, 81, 24916, 284, 3042, 29226, 1392, 81, 24916, 280, 617, 34770, 1392, 81, 24916, 284, 18850, 81, 24916, 280, 617, 6685, 81, 24916, 284, 6747, 81, 24916, 280, 617, 6475, 81, 24916, 284, 436, 3089, 30, 2440, 328, 5257, 44, 291, 415, 3089, 328, 498, 22166, 81, 24916, 44, 324, 415, 5736, 549, 358, 613, 81, 4694, 81, 1434, 2576, 6755, 3204, 44, 400, 9533, 26, 1952, 24916, 77, 1952, 81, 24111, 77, 520, 13138, 400, 9533, 2176, 101, 268, 32, 371, 5729, 26, 453, 30, 5736, 490, 324, 813, 44, 400, 9533, 26, 1952, 24916, 77, 520, 1130, 400, 9533, 26, 453, 27, 291, 4348, 3089, 438, 1236, 44, 324, 415, 5736, 549, 358, 613, 81, 4694, 81, 1434, 2576, 6755, 3204, 44, 400, 9533, 26, 1952, 24916, 77, 1952, 81, 24111, 77, 520, 13138, 400, 665, 2421, 417, 26, 7538, 30, 5736, 47, 4545, 711, 528, 442, 617, 101, 268, 32, 371, 5729, 26, 7538, 30, 5736, 27, 324, 813, 44, 400, 9533, 26, 1952, 24916, 77, 520, 1130, 400, 2421, 417, 280, 617, 8543, 1126, 324, 7116, 280, 617, 1657, 26, 687, 293, 9533, 26, 34, 27, 324, 617, 6993, 81, 15245, 26, 453, 30, 5736, 30, 1340, 30, 2421, 417, 27, 324, 1340, 77, 5961, 79, 280, 617, 1657, 26, 687, 27, 429, 7116, 291, 4348, 3089, 438, 2964, 44, 324, 415, 5736, 549, 358, 613, 81, 4694, 81, 6737, 2320, 44, 400, 9533, 26, 1952, 24916, 77, 15205, 81, 2320, 1130, 324, 813, 44, 400, 9533, 26, 1952, 24916, 77, 15205, 1130, 291, 4348, 3089, 328, 3042, 29226, 1392, 81, 24916, 44, 324, 415, 5736, 549, 358, 613, 81, 4694, 81, 17143, 44, 400, 3636, 1048, 440, 3259, 44, 26877, 3079, 4134, 657, 400, 9533, 26, 1952, 24916, 77, 34770, 1130, 400, 7116, 280, 617, 1657, 26, 687, 293, 9533, 26, 34, 27, 400, 9533, 26, 453, 77, 34, 1130, 400, 9533, 26, 453, 77, 35, 1130, 400, 617, 6993, 26, 687, 30, 2440, 77, 36, 614, 5736, 27 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 4, 4, 3, 4, 2, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 3, 4, 4, 2, 2, 3, 1, 1, 1, 5, 4, 4, 5, 5, 5, 5, 5, 1, 2, 2, 2, 2, 6, 5, 5, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 4, 6, 5, 5, 6, 6, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 0, 3, 3, 3, 3, 2, 2, 4, 6, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 5, 6, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 7, 7, 7, 5, 5, 5, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 11, 13, 13, 12, 14, 14, 14, 13, 14, 13, 8, 8, 11, 14, 14, 13, 14, 14, 13, 14, 13, 13, 13, 7, 7, 8, 8, 8, 12, 14, 14, 13, 14, 13, 9, 9, 12, 13, 12, 5, 5, 6, 7, 7, 6, 6, 6, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 12, 14, 14, 13, 15, 15, 15, 14, 15, 14, 9, 9, 10, 11, 11, 12, 11, 11, 12, 13, 11, 10, 10, 12, 15, 15, 14, 15, 15, 14, 15, 14, 14, 14, 8, 8, 9, 9, 9, 13, 15, 15, 14, 15, 14, 10, 10, 13, 12, 12, 13, 13, 7, 7, 9, 9, 11, 11, 12, 11, 7, 10, 11, 10, 7, 7, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 10, 11, 10, 7, 7, 10, 11, 10, 9, 9, 12, 12, 13, 12, 10, 10, 5, 5, 6, 7, 7, 6, 6, 6, 8, 9, 9, 10, 10, 10, 10, 10, 10, 8, 8, 8, 12, 14, 14, 13, 14, 14, 14, 13, 8, 8, 9, 9, 9, 13, 15, 15, 14, 15, 14, 5, 5, 6, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 9, 9, 10, 10, 10, 10, 10, 8, 8, 8, 10, 12, 14, 14, 14, 14, 14, 14, 9, 9, 12, 14, 14, 13, 14, 13, 9, 9, 11, 11, 13, 13, 14, 13, 9, 12, 13, 12, 9, 9, 12, 14, 13, 14, 13, 9, 9, 12, 14, 13, 14, 13, 9, 9, 12, 12, 13, 12, 12, 13, 14, 13, 12, 12 ]	[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 0, 5, 5, 0, 0, 0, 2, 1, 1, 2, 5, 5, 1, 1, 1, 1, 2, 0, 6, 6, 0, 0, 0, 2, 2, 1, 1, 2, 6, 6, 6, 0, 0, 0, 2, 2, 2, 2, 2, 6, 4, 4, 4, 4, 0, 0, 0, 2, 2, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 12, 12, 1, 2, 1, 2, 2, 2, 2, 2, 12, 12, 0, 0, 2, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 6, 1, 1, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 3, 3, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 4, 1, 1, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 3, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 3, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 3, 3, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 5, 1, 1, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 4, 4, 4, 1, 0, 0, 1, 2, 1, 0, 0, 6, 1, 1, 2, 2, 2, 2, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 1, 2, 1, 3, 3, 0, 0, 0, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 0, 1, 2, 1, 3, 3, 1, 0, 1, 2, 1, 3, 3, 0, 1, 1, 1, 1, 3, 2, 3, 1, 1 ]
[ 1070, 22045, 32, 2208, 1188, 1984, 4434, 203, 1070, 7138, 1188, 7138, 203, 1070, 3619, 29161, 1188, 8159, 30, 16155, 317, 4711, 4571, 7776, 424, 619, 281, 1140, 203, 1070, 298, 5974, 81, 1040, 32, 1040, 1188, 622, 81, 270, 96, 81, 668, 30, 622, 81, 10361, 81, 4419, 30, 622, 81, 6728, 203, 465, 13092, 203, 1070, 30902, 1188, 1344, 203, 1070, 996, 23239, 32, 1357, 1188, 4448, 203, 589, 894, 81, 371, 81, 270, 96, 81, 668, 26, 858, 81, 2848, 711, 284, 376, 2425, 280, 622, 81, 270, 96, 81, 668, 26, 858, 81, 2848, 30, 11544, 284, 1201, 2069, 26, 270, 2425, 27, 610, 225, 39, 34, 203, 50, 12408, 32, 1826, 32, 28913, 26, 284, 2884, 15106, 392, 313, 452, 81, 1613, 392, 313, 3140, 2113, 284, 428, 291, 308, 324, 428, 85, 1140, 32, 4573, 81, 426, 610, 313, 6142, 81, 1294, 3439, 324, 281, 1140, 32, 3723, 81, 314, 30, 324, 3037, 35, 34, 38, 40, 37, 37, 36, 392, 313, 35, 35, 36, 40, 35, 39, 34, 392, 313, 35, 35, 34, 40, 36, 34, 34, 3439, 291, 2588, 291, 308, 324, 428, 400, 281, 1140, 32, 1449, 81, 12133, 81, 1003, 848, 7138, 26, 36, 34, 34, 34, 30, 225, 35, 30, 225, 35, 471, 400, 281, 1140, 32, 887, 81, 12133, 81, 1003, 333, 7138, 26, 36, 34, 34, 34, 30, 225, 35, 30, 225, 37, 35, 471, 324, 2505, 324, 281, 1140, 32, 13548, 81, 314, 30, 324, 428, 353, 40, 35, 37, 30, 353, 42, 35, 37, 30, 353, 43, 35, 37, 30, 353, 35, 35, 35, 37, 30, 353, 35, 38, 35, 37, 30, 353, 35, 40, 35, 37, 30, 353, 36, 35, 35, 37, 30, 353, 36, 41, 41, 37, 30, 353, 35, 37, 35, 37, 30, 353, 35, 35, 37, 30, 353, 41, 35, 37, 30, 353, 35, 36, 35, 37, 30, 353, 36, 40, 41, 37, 30, 353, 36, 40, 35, 37, 30, 353, 38, 35, 37, 30, 324, 2505, 291, 2588, 291, 308, 324, 428, 85, 1140, 32, 887, 81, 12133, 81, 1003, 333, 7138, 26, 35, 43, 40, 39, 30, 225, 35, 30, 225, 35, 14155, 324, 281, 1140, 32, 13548, 81, 314, 30, 324, 428, 35, 37, 30, 225, 39, 35, 37, 30, 225, 40, 35, 37, 30, 225, 41, 35, 37, 30, 225, 42, 35, 37, 614, 291, 2588, 291, 308, 324, 428, 85, 1140, 32, 11044, 610, 313, 35, 31, 43546, 3439, 324, 281, 1140, 32, 4573, 81, 426, 30, 324, 3037, 3314, 64, 1013, 31, 73, 3347, 392, 313, 8849, 1926, 87, 392, 313, 6142, 81, 1294, 392, 313, 52, 1405, 392, 313, 7223, 31, 13904, 64, 3439, 291, 2588, 284, 2505, 203, 27, 203, 589, 894, 81, 371, 81, 270, 96, 81, 668, 81, 1793, 81, 2029, 26, 858, 81, 2848, 30, 13383, 30, 372, 81, 1613, 30, 2799, 711, 284, 376, 2425, 280, 622, 81, 270, 96, 81, 668, 26, 858, 81, 2848, 30, 13383, 30, 372, 81, 1613, 27, 284, 1201, 739, 26, 3140, 27, 610, 739 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 4, 4, 4, 4, 4, 2, 2, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 2, 2, 3, 6, 7, 7, 6, 4, 4, 5, 5, 0, 2, 6, 5, 6, 4, 5, 4, 4, 4, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 4, 4, 5, 5, 6, 6, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 6, 6, 8, 7, 8, 8, 8, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 5, 5, 6, 6, 7, 7, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 7, 7, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 7, 7, 6, 6, 8, 7, 8, 8, 8, 6, 6, 6, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 7, 6, 6, 5, 5, 6, 6, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 6, 6, 8, 7, 8, 8, 8, 6, 6, 6, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 6, 6, 5, 5, 6, 6, 10, 10, 9, 10, 8, 8, 10, 10, 10, 10, 6, 6, 8, 7, 8, 8, 8, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 6, 6, 5, 5, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 2, 2, 6, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 3, 3, 4, 7, 8, 7, 5, 5 ]	[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 5, 2, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 3, 3, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 3, 3, 0, 3, 2, 2, 2, 3, 3, 3, 5, 1, 1, 1, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 5, 9, 9, 9, 9, 5, 5, 11, 11, 11, 11, 5, 5, 13, 13, 13, 13, 5, 5, 15, 15, 15, 15, 5, 5, 17, 17, 17, 17, 5, 5, 19, 19, 19, 5, 5, 21, 21, 21, 5, 5, 23, 23, 23, 23, 5, 5, 25, 25, 25, 25, 5, 5, 27, 27, 27, 27, 5, 5, 29, 29, 29, 5, 5, 5, 3, 3, 3, 3, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 5, 5, 0, 3, 2, 2, 2, 5, 5, 5, 1, 1, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5, 9, 9, 9, 5, 5, 5, 3, 3, 7, 7, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 7, 7, 0, 3, 2, 2, 2, 7, 7, 7, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 5, 1, 1, 1, 2, 5, 1, 1, 2, 5, 1, 1, 1, 1, 2, 7, 7, 3, 3, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 1, 1, 1, 1, 1, 1 ]
[ 465, 5624, 203, 1070, 1673, 2304, 32, 16705, 85, 10199, 1188, 24977, 53, 8115, 203, 1070, 6436, 32, 2452, 2304, 32, 2493, 81, 2501, 1188, 2290, 81, 21823, 203, 1070, 6436, 32, 2452, 2304, 32, 85, 10199, 1188, 4281, 81, 1648, 81, 2872, 203, 325, 5624, 32, 2946, 346, 610, 330, 2839, 950, 284, 645, 6436, 32, 2452, 2304, 32, 874, 4816, 43, 10199, 1188, 488, 36886, 8115, 203, 823, 16766, 53, 8115, 26, 19541, 53, 8115, 711, 284, 8980, 81, 681, 280, 330, 21066, 25, 284, 10639, 81, 8022, 280, 330, 42948, 25, 284, 10639, 81, 1132, 280, 330, 88, 25370, 25, 284, 665, 1156, 1664, 3207, 784, 30, 9541, 47, 34, 30, 32609, 81, 1945, 47, 34, 30, 7650, 47, 34, 711, 291, 24977, 53, 8115, 3667, 1664, 3207, 784, 30, 9541, 30, 32609, 81, 1945, 30, 7650, 27, 291, 354, 280, 630, 32, 371, 81, 1648, 346, 291, 7680, 2215, 280, 330, 1676, 317, 25, 415, 354, 461, 354, 333, 330, 35, 39, 25, 813, 330, 99, 1676, 317, 25, 291, 630, 32, 1152, 81, 8022, 280, 2726, 42948, 429, 88, 25370, 429, 4426, 31, 1160, 6523, 429, 65, 37, 330, 5556, 6470, 88, 28490, 31, 1744, 31, 6805, 429, 2537, 1814, 1643, 26, 317, 2215, 27, 291, 8980, 280, 630, 32, 1152, 81, 8022, 291, 415, 5624, 32, 2946, 346, 610, 330, 35105, 4463, 950, 324, 7176, 81, 4555, 280, 6470, 23752, 5437, 6376, 30, 9010, 81, 10122, 25, 291, 813, 44, 324, 7176, 81, 4555, 280, 6470, 4190, 25, 291, 630, 32, 470, 81, 2493, 303, 6975, 26, 10199, 47, 10199, 30, 6035, 8980, 81, 762, 47, 10199, 30, 6035, 8980, 81, 21937, 47, 10199, 30, 6035, 5814, 8431, 1057, 15751, 282, 25, 474, 330, 281, 2947, 370, 6035, 38389, 81, 8022, 47, 10199, 474, 330, 429, 4190, 31, 21066, 370, 6035, 38389, 81, 762, 47, 10199, 474, 330, 330, 474, 7176, 81, 4555, 474, 6035, 330, 429, 4190, 31, 21066, 683, 203, 823, 16766, 1011, 278, 3876, 53, 8115, 26, 27790, 53, 8115, 711, 284, 8980, 81, 681, 280, 330, 4032, 274, 25, 284, 436, 10639, 81, 8022, 328, 1992, 26, 1809, 81, 21823, 30, 2107, 42948, 370, 330, 17721, 37886, 291, 415, 10639, 81, 8022, 44, 324, 1626, 203, 823, 16766, 4547, 40, 38, 6543, 8115, 26, 19541, 53, 8115, 711, 284, 8980, 81, 681, 280, 330, 4032, 2056, 25, 284, 10639, 81, 8022, 280, 330, 42948, 429, 95, 40, 38, 25, 284, 10639, 81, 1132, 280, 6470, 88, 25370, 25, 284, 665, 1156, 1664, 3207, 784, 30, 9541, 47, 34, 30, 32609, 81, 1945, 47, 34, 30, 7650, 47, 34, 711, 291, 24977, 53, 8115, 3667, 1664, 3207, 784, 30, 9541, 30, 32609, 81, 1945, 30, 7650, 27, 291, 354, 280, 630, 32, 371, 81, 1648, 346, 291, 7680, 2215, 280, 330, 1676, 317, 25, 415, 354, 461, 354, 333, 330, 35, 39, 25, 813, 330, 99, 1676, 317, 25, 291, 630, 32, 1152, 81, 8022, 280, 2726, 42948, 429, 1530, 47, 85, 43, 43, 429, 95, 40, 38, 429, 88, 25370, 429, 4426 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 5, 4, 2, 2, 4, 4, 1, 1, 3, 4, 5, 5, 4, 5, 5, 5, 5, 3, 3, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 9, 9, 7, 7, 8, 8, 9, 9, 11, 11, 11, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 9, 9, 8, 4, 4, 6, 6, 7, 8, 8, 8, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 8, 5, 5, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 6, 6, 10, 10, 9, 9, 11, 11, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 7, 7, 9, 9, 8, 9, 7, 7, 7, 9, 9, 8, 9, 7, 7, 7, 9, 8, 11, 11, 11, 9, 9, 11, 11, 11, 7, 7, 9, 9, 8, 10, 9, 9, 11, 11, 11, 11, 11, 7, 7, 9, 9, 8, 12, 11, 11, 13, 10, 10, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 5, 5, 8, 8, 6, 8, 8, 3, 3, 5, 6, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 9, 9, 7, 7, 8, 8, 9, 9, 11, 11, 11, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12 ]	[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 1, 4, 4, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 5, 0, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 4, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 1, 0, 7, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 9, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 11, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20, 25819, 32, 15471, 4442, 33, 4820, 436, 5605, 4333, 9750, 3107, 203, 465, 316, 203, 1070, 4096, 32, 2825, 1188, 10268, 2825, 203, 1070, 4096, 32, 7352, 1188, 10268, 38106, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 3634, 81, 4770, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 18548, 81, 466, 203, 1270, 44, 284, 1188, 44175, 32, 1262, 284, 1188, 44175, 32, 5459, 284, 1188, 44175, 32, 25882, 32, 9632, 32, 9715, 203, 7343, 29986, 44, 284, 44175, 81, 297, 81, 7230, 280, 3177, 203, 1824, 44, 284, 44175, 81, 297, 81, 7230, 280, 2933, 203, 589, 11760, 81, 1427, 800, 26, 1427, 800, 711, 284, 415, 646, 48558, 556, 646, 48558, 32, 7201, 2262, 291, 442, 4247, 284, 5430, 280, 48558, 32, 8931, 10487, 922, 2998, 4446, 346, 284, 10525, 280, 1847, 2009, 1657, 26, 928, 27, 429, 2069, 26, 928, 32, 94, 7201, 1157, 436, 1628, 328, 5430, 415, 1628, 32, 94, 7201, 27944, 284, 41556, 280, 428, 4446, 77, 34, 997, 94, 7201, 7662, 474, 428, 928, 77, 9378, 44, 997, 38848, 346, 436, 1628, 328, 5430, 77, 35, 46017, 284, 442, 2706, 96, 2296, 2524, 26, 45797, 547, 7201, 346, 203, 589, 3185, 81, 1427, 800, 26, 1427, 800, 711, 284, 48558, 280, 11760, 81, 1427, 800, 26, 1427, 800, 27, 284, 8710, 280, 316, 32, 2998, 26, 100, 10255, 96, 109, 36, 30, 10047, 48558, 27, 284, 1780, 280, 8710, 77, 34, 79, 284, 415, 2069, 26, 10031, 27, 610, 225, 35, 44, 291, 3361, 280, 4247, 291, 5035, 280, 2149, 284, 813, 44, 291, 4118, 280, 10268, 2825, 346, 291, 1596, 44, 324, 5035, 280, 4118, 32, 2208, 466, 26, 10031, 6448, 35, 1130, 291, 2940, 10268, 38106, 44, 324, 5035, 280, 2149, 324, 3361, 280, 2706, 96, 78, 96, 2296, 2524, 26, 10031, 77, 35, 19572, 291, 813, 44, 324, 5035, 280, 5436, 26, 4519, 32, 3028, 1157, 324, 415, 5035, 44, 400, 3361, 280, 2706, 96, 78, 96, 2296, 2524, 26, 10031, 77, 35, 5979, 35, 1130, 324, 813, 44, 400, 3361, 280, 2706, 96, 78, 96, 2296, 2524, 26, 10031, 77, 35, 19572, 284, 442, 1780, 30, 3361, 30, 5035, 203, 589, 3185, 81, 9632, 26, 878, 30, 1244, 81, 3576, 81, 1819, 30, 7913, 81, 44109, 81, 12881, 47, 2521, 711, 284, 20006, 280, 301, 291, 330, 1409, 288, 778, 81, 37749, 25, 499, 2933, 30, 291, 330, 1664, 279, 81, 2111, 81, 2649, 25, 499, 225, 37, 30, 291, 313, 1536, 81, 3576, 81, 1819, 20, 499, 1244, 81, 3576, 81, 1819, 30, 291, 313, 1204, 81, 1439, 20, 499, 10156, 463, 11025, 31, 339, 24018, 27968, 31, 1427, 2388, 1814, 38848, 24667, 284, 320, 284, 415, 7913, 81, 44109, 81, 12881, 44, 291, 7913, 81, 44109, 81, 12881, 280, 18548, 81, 466, 10374, 23, 101, 5844, 904, 7913, 81, 44109, 81, 12881, 27, 284, 8710, 280, 44175, 32, 1262, 32, 7211, 81, 10031, 26, 878, 30, 1914, 81, 983, 47, 1944, 81, 44109, 81, 12881 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 4, 5, 2, 2, 3, 4, 5, 2, 2, 3, 4, 5, 4, 5, 4, 5, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 1, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 4, 4, 5, 7, 8, 7, 3, 3, 5, 2, 2, 4, 4, 8, 9, 9, 8, 7, 7, 6, 2, 2, 4, 4, 6, 10, 10, 11, 10, 8, 8, 10, 13, 12, 13, 13, 12, 7, 8, 8, 8, 7, 8, 10, 11, 11, 10, 2, 2, 4, 4, 10, 9, 10, 9, 9, 9, 8, 5, 5, 10, 9, 11, 10, 9, 9, 8, 6, 7, 7, 7, 8, 10, 9, 2, 2, 3, 10, 9, 8, 7, 8, 7, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 4, 4, 5, 6, 5, 2, 2, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 4, 4, 4, 7, 7, 9, 9, 5, 5, 6, 6, 6, 9, 9, 11, 12, 12, 11, 13, 12, 14, 12, 6, 6, 7, 8, 7, 7, 7, 10, 10, 8, 8, 10, 10, 15, 15, 15, 14, 13, 12, 14, 13, 15, 14, 6, 6, 7, 7, 7, 10, 10, 12, 15, 14, 15, 14, 8, 8, 9, 9, 9, 9, 12, 12, 17, 17, 17, 16, 15, 14, 16, 15, 17, 16, 18, 15, 9, 9, 10, 10, 10, 13, 13, 18, 18, 18, 17, 16, 15, 17, 16, 18, 17, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 5, 5, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8, 8, 8, 11, 11, 11, 9, 9, 10, 10, 10, 10, 8, 2, 2, 4, 4, 7, 8, 6, 7, 7, 7, 6, 7, 6, 6, 8, 8, 7, 8, 8, 8, 8, 8 ]	[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 7, 7, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 4, 1, 6, 7, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 7, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 3, 0, 2, 4, 4, 4, 0, 2, 2, 1, 1, 1, 2, 1, 0, 9, 9, 1, 1, 1, 2, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 4, 4, 4, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 3, 1, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 4, 4, 4, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 4, 4, 4, 1, 1, 1, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 0, 0, 0, 0, 5, 2, 2, 10, 10, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2 ]
[ 465, 5237, 203, 1070, 6436, 32, 4266, 1188, 319, 203, 465, 6436, 619, 2065, 203, 2516, 280, 428, 2356, 32, 2420, 3739, 2065, 32, 2263, 30, 2065, 32, 37928, 30, 2065, 32, 4021, 30, 2065, 32, 17470, 30, 2065, 32, 410, 85, 30, 2065, 32, 1774, 85, 30, 276, 2065, 32, 410, 3739, 2065, 32, 1774, 30, 2065, 32, 3222, 3222, 30, 2065, 32, 15473, 3222, 30, 276, 2065, 32, 6270, 30, 2065, 32, 2627, 30, 2065, 32, 3222, 2627, 30, 2065, 32, 1729, 2712, 30, 276, 2065, 32, 85, 2627, 30, 2065, 32, 573, 788, 2627, 79, 203, 4543, 81, 2516, 280, 428, 2065, 32, 2263, 30, 2065, 32, 37928, 30, 2065, 32, 4021, 30, 2065, 32, 17470, 30, 3083, 2065, 32, 410, 85, 30, 2065, 32, 1774, 85, 30, 3083, 2065, 32, 410, 3739, 2065, 32, 1774, 30, 2065, 32, 3222, 3222, 30, 2065, 32, 15473, 3222, 30, 3083, 2065, 32, 6270, 30, 2065, 32, 2627, 30, 2065, 32, 3222, 2627, 1481, 203, 11476, 81, 2516, 280, 428, 2065, 32, 1729, 2712, 30, 2065, 32, 85, 2627, 30, 2065, 32, 573, 788, 2627, 1481, 203, 823, 2108, 2424, 26, 7233, 711, 284, 665, 894, 81, 2516, 26, 784, 30, 3193, 47, 35, 711, 291, 436, 821, 411, 328, 3738, 44, 324, 312, 280, 821, 411, 26, 35, 27, 324, 1201, 312, 610, 225, 35, 30, 313, 731, 623, 904, 100, 44, 5424, 904, 100, 20, 904, 308, 12264, 30, 83, 27, 284, 665, 894, 81, 681, 81, 669, 26, 784, 30, 3193, 47, 35, 711, 291, 436, 831, 30, 821, 411, 328, 10703, 26, 2516, 711, 324, 909, 83, 280, 821, 411, 26, 37, 27, 324, 909, 35, 280, 2065, 32, 955, 2009, 37, 614, 12010, 47, 12264, 27, 324, 436, 456, 30, 323, 681, 328, 10703, 26, 2516, 711, 400, 909, 84, 280, 323, 681, 26, 35, 27, 400, 909, 36, 280, 2065, 32, 955, 2009, 35, 614, 12010, 47, 84, 681, 27, 400, 909, 280, 909, 83, 474, 909, 84, 400, 909, 97, 280, 909, 35, 474, 909, 36, 400, 1201, 909, 32, 12010, 32, 1516, 610, 909, 97, 32, 12010, 32, 1516, 461, 766, 5556, 909, 32, 12010, 32, 1594, 610, 909, 97, 32, 12010, 32, 1594, 30, 766, 5556, 313, 731, 623, 10027, 86, 9726, 86, 4731, 904, 308, 93, 30, 94, 27, 284, 665, 894, 81, 681, 81, 25330, 26, 784, 30, 3193, 47, 35, 711, 291, 436, 831, 30, 821, 411, 328, 10703, 26, 2516, 711, 324, 909, 83, 280, 821, 411, 26, 37, 27, 324, 909, 35, 280, 2065, 32, 955, 2009, 37, 614, 12010, 47, 12264, 27, 324, 436, 456, 30, 323, 681, 328, 10703, 26, 2516, 711, 400, 909, 84, 280, 323, 681, 26, 35, 27, 400, 909, 36, 280, 2065, 32, 955, 2009, 35, 614, 12010, 47, 84, 681, 27, 400, 909, 280, 909, 83, 429, 909, 84, 400, 909, 97, 280, 909, 35, 429, 909, 36, 400, 1201, 909, 32, 12010, 32, 1516, 610, 909, 97, 32, 12010, 32, 1516, 461, 766, 5556, 909, 32, 12010, 32, 1594, 610 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 0, 3, 2, 2, 5, 4, 5, 5, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 3, 0, 3, 3, 3, 2, 2, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 5, 3, 0, 3, 3, 3, 2, 2, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 5, 5, 8, 8, 10, 10, 11, 10, 6, 6, 7, 8, 8, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 7, 5, 5, 7, 8, 7, 5, 5, 9, 8, 8, 10, 10, 11, 10, 6, 6, 9, 8, 8, 10, 11, 10, 12, 11, 12, 11, 12, 10, 6, 6, 7, 8, 8, 9, 7, 7, 9, 10, 9, 7, 7, 11, 10, 10, 12, 12, 13, 12, 8, 8, 11, 10, 10, 12, 13, 12, 14, 13, 14, 13, 14, 14, 12, 8, 8, 10, 10, 12, 11, 11, 12, 8, 8, 11, 10, 10, 12, 11, 11, 12, 8, 8, 9, 13, 14, 12, 13, 11, 11, 14, 13, 14, 12, 13, 10, 10, 11, 10, 13, 14, 12, 13, 11, 11, 14, 13, 14, 12, 13, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 7, 5, 5, 7, 8, 7, 5, 5, 9, 8, 8, 10, 10, 11, 10, 6, 6, 9, 8, 8, 10, 11, 10, 12, 11, 12, 11, 12, 10, 6, 6, 7, 8, 8, 9, 7, 7, 9, 10, 9, 7, 7, 11, 10, 10, 12, 12, 13, 12, 8, 8, 11, 10, 10, 12, 13, 12, 14, 13, 14, 13, 14, 14, 12, 8, 8, 10, 10, 12, 11, 11, 12, 8, 8, 11, 10, 10, 12, 11, 11, 12, 8, 8, 9, 13, 14, 12, 13, 11, 11, 14, 13, 14, 12, 13, 10, 10, 11, 10, 13, 14, 12, 13, 11 ]	[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 2, 13, 2, 2, 2, 2, 2, 15, 2, 2, 2, 17, 2, 2, 2, 19, 2, 2, 2, 2, 21, 2, 2, 2, 2, 2, 23, 2, 2, 2, 25, 2, 2, 2, 27, 2, 2, 2, 2, 29, 2, 2, 2, 2, 2, 31, 2, 2, 2, 2, 33, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 2, 17, 2, 2, 2, 2, 19, 2, 2, 2, 2, 2, 21, 2, 2, 2, 23, 2, 2, 2, 25, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 3, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 5, 5, 4, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 3, 3, 0, 0, 2, 2, 2, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 3, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 5, 5, 4, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 3 ]
[ 505, 2116, 505, 280, 313, 501, 11083, 1224, 14619, 333, 9910, 694, 821, 14699, 86, 1601, 8057, 767, 5844, 203, 505, 13411, 505, 280, 313, 1006, 5276, 32, 978, 225, 34, 32, 37, 41, 32, 54, 34, 34, 35, 225, 36, 34, 35, 34, 33, 34, 35, 33, 35, 35, 225, 35, 40, 44, 39, 39, 44, 39, 34, 831, 14619, 20, 203, 505, 1648, 505, 280, 313, 34, 32, 37, 41, 20, 203, 465, 19493, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 316, 203, 465, 22977, 203, 465, 6314, 203, 465, 802, 203, 465, 5237, 203, 465, 29590, 203, 465, 1133, 203, 465, 27374, 203, 465, 3738, 203, 465, 2680, 720, 203, 505, 464, 505, 280, 428, 284, 330, 4903, 81, 268, 370, 284, 330, 5066, 81, 858, 370, 284, 330, 1347, 81, 1267, 370, 284, 330, 4617, 81, 858, 370, 284, 330, 2872, 81, 16925, 370, 284, 330, 2872, 81, 268, 370, 284, 330, 2872, 81, 268, 81, 4260, 464, 370, 284, 330, 2958, 81, 21823, 370, 284, 330, 1006, 5276, 25, 203, 79, 203, 1270, 44, 284, 1188, 5839, 1356, 203, 7343, 29986, 44, 284, 1156, 464, 9818, 1689, 463, 6656, 81, 4903, 683, 203, 589, 438, 81, 720, 26, 87, 711, 284, 442, 827, 26, 87, 27, 438, 3738, 32, 39309, 766, 291, 556, 6937, 26, 87, 30, 2680, 720, 32, 47741, 27, 203, 1270, 44, 284, 645, 2680, 652, 1188, 2680, 652, 203, 7343, 29986, 44, 284, 443, 2680, 652, 44, 291, 3097, 203, 325, 19326, 26, 2516, 30, 330, 14923, 620, 7831, 284, 665, 438, 81, 652, 26, 87, 711, 291, 442, 827, 26, 87, 27, 438, 3738, 32, 47639, 766, 324, 556, 827, 26, 87, 27, 438, 3738, 32, 14923, 620, 766, 324, 556, 6937, 26, 87, 30, 2680, 652, 27, 203, 1824, 44, 284, 665, 438, 81, 652, 26, 87, 711, 291, 442, 827, 26, 87, 27, 438, 3738, 32, 47639, 556, 6937, 26, 87, 30, 2680, 652, 27, 203, 1433, 761, 32, 2387, 280, 330, 858, 3515, 4564, 203, 325, 2322, 32, 426, 328, 2726, 28950, 370, 330, 566, 7831, 284, 29590, 32, 2387, 280, 330, 858, 3515, 4564, 474, 596, 26, 500, 32, 371, 6320, 1157, 474, 18491, 203, 1824, 44, 284, 29590, 32, 2387, 280, 330, 858, 3515, 4564, 203, 268, 81, 1166, 280, 316, 32, 6993, 9442, 101, 683, 203, 81, 20253, 280, 1605, 203, 81, 5074, 81, 452, 81, 4775, 1298, 280, 1665, 203, 589, 617, 6008, 2262, 284, 3649, 617, 20253, 284, 5063, 668, 280, 2761, 26, 2521, 30, 617, 20253, 27, 284, 3555, 617, 20253, 31445, 284, 5063, 668, 32, 9833, 346, 284, 436, 894, 328, 5063, 668, 44, 291, 894, 32, 15276, 346, 284, 415, 617, 5074, 81, 452, 81, 4775, 1298, 44, 291, 617, 5074, 81, 452, 81, 4775, 1298, 346, 203, 1270, 44, 284, 1188, 821, 4775, 203, 7343, 29986, 44, 284, 1596, 44, 291, 617, 5074, 81, 452, 81, 4775, 1298, 280, 5237, 32, 4775, 1298, 284, 2940, 29316, 44, 291, 3097, 284, 5237, 32, 4775, 1298, 280, 617, 6008 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 7, 7, 7, 6, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 7, 8, 7, 5, 5, 6, 7, 4, 5, 4, 4, 6, 7, 6, 6, 8, 7, 8, 6, 0, 1, 1, 1, 1, 3, 5, 3, 3, 5, 1, 2, 2, 2, 2, 2, 4, 5, 4, 4, 4, 0, 1, 1, 3, 4, 3, 3, 5, 5, 5, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 10, 8, 8, 9, 10, 7, 8, 7, 7, 10, 11, 10, 8, 8, 9, 10, 10, 6, 7, 6, 6, 8, 9, 8, 8, 9, 8, 1, 2, 2, 2, 2, 4, 5, 5, 5, 6, 5, 4, 4, 6, 10, 11, 10, 8, 8, 9, 10, 7, 7, 9, 10, 9, 9, 10, 9, 0, 4, 4, 3, 4, 2, 2, 4, 4, 4, 0, 1, 1, 3, 4, 2, 2, 5, 5, 3, 5, 5, 1, 1, 5, 6, 4, 4, 8, 8, 8, 6, 6, 8, 11, 10, 11, 11, 10, 5, 5, 1, 2, 2, 2, 2, 6, 7, 5, 5, 7, 7, 7, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 1, 1, 3, 4, 2, 2, 5, 4, 4, 6, 7, 6, 6, 7, 6, 2, 2, 3, 5, 4, 2, 2, 6, 5, 6, 5, 2, 2, 3, 3, 3, 4, 3, 3, 3, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 4, 4, 4, 8, 8, 8, 8, 8, 8, 7, 7, 8, 9, 9, 4, 4, 5, 5, 5, 5, 3, 3, 6, 7, 7, 5, 5, 6 ]	[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 14, 14, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 17, 17, 17, 17, 0, 0, 17, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 2, 0, 18, 18, 1, 1, 2, 1, 2, 18, 18, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 0, 19, 19, 19, 19, 0, 0, 0, 0, 0, 19, 3, 3, 3, 3, 3, 0, 1, 0, 0, 0, 0, 20, 20, 1, 1, 1, 1, 1, 1, 2, 20, 20, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 20, 4, 4, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 22, 22, 0, 2, 1, 1, 1, 2, 2, 1, 2, 22, 22, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 22, 4, 4, 4, 4, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 26, 1, 2, 26, 26, 0, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 2, 0, 1, 4, 4, 0, 0, 2, 1, 4, 4, 4, 4, 4, 3, 4, 4, 4, 0, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 27, 27, 27, 27, 0, 0, 27, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 0, 2, 2, 0, 0, 2 ]
[ 465, 2361, 203, 465, 316, 203, 465, 15798, 203, 465, 1420, 203, 823, 7137, 1006, 26, 18986, 32, 7233, 711, 334, 665, 894, 81, 2208, 81, 1132, 81, 1253, 26, 784, 711, 284, 4774, 280, 428, 291, 11363, 725, 370, 291, 3005, 3986, 31, 7981, 32, 725, 370, 291, 11363, 2035, 31, 725, 370, 291, 3005, 1632, 32, 725, 370, 291, 11363, 37918, 31, 1832, 31, 1648, 370, 291, 330, 35, 36, 37, 8183, 370, 291, 11363, 541, 31, 1515, 370, 291, 330, 6060, 33, 1515, 25, 284, 1481, 284, 15684, 280, 1420, 32, 7981, 346, 284, 15684, 32, 2208, 81, 1132, 26, 3515, 27, 284, 630, 32, 6549, 26, 10340, 32, 1132, 32, 725, 610, 3005, 3986, 31, 7981, 32, 725, 683, 334, 665, 894, 81, 2208, 81, 1132, 81, 716, 422, 449, 81, 5134, 81, 1648, 26, 784, 711, 284, 894, 81, 10996, 280, 428, 291, 301, 324, 330, 731, 950, 353, 36, 30, 324, 330, 3515, 950, 428, 400, 11363, 5134, 370, 400, 330, 24600, 1593, 370, 400, 11363, 1648, 370, 400, 330, 35, 37, 32, 36, 32, 36, 370, 400, 11363, 37918, 31, 1832, 31, 1648, 370, 400, 330, 35, 36, 37, 8183, 370, 400, 11363, 541, 31, 1515, 370, 400, 330, 6060, 33, 1515, 25, 324, 2505, 291, 801, 291, 301, 324, 330, 731, 950, 353, 36, 30, 324, 330, 3515, 950, 428, 400, 11363, 716, 422, 449, 370, 400, 330, 983, 33, 452, 33, 716, 422, 449, 370, 400, 11363, 1648, 370, 400, 330, 35, 37, 32, 36, 32, 36, 370, 400, 11363, 37918, 31, 1832, 31, 1648, 370, 400, 330, 35, 36, 37, 8183, 370, 400, 11363, 541, 31, 1515, 370, 400, 330, 6060, 33, 1515, 25, 324, 2505, 291, 801, 291, 301, 324, 330, 731, 950, 353, 36, 30, 324, 330, 3515, 950, 428, 400, 11363, 716, 422, 449, 370, 400, 330, 983, 33, 452, 33, 716, 422, 449, 370, 400, 11363, 5134, 370, 400, 330, 24600, 1593, 370, 400, 11363, 37918, 31, 1832, 31, 1648, 370, 400, 330, 35, 36, 37, 8183, 370, 400, 11363, 541, 31, 1515, 370, 400, 330, 6060, 33, 1515, 25, 324, 2505, 291, 801, 284, 1481, 284, 15684, 280, 1420, 32, 7981, 346, 284, 436, 894, 81, 1732, 328, 894, 81, 10996, 44, 397, 623, 630, 32, 23895, 26, 1598, 8112, 27, 619, 3692, 44, 291, 15684, 32, 2208, 81, 1132, 26, 858, 81, 1732, 710, 3515, 3490, 291, 630, 32, 6549, 26, 268, 32, 2872, 463, 12172, 6377, 1169, 556, 4909, 432, 319, 370, 3692, 32, 1436, 490, 291, 630, 32, 5299, 26, 2095, 32, 3893, 32, 687, 30, 894, 81, 1732, 710, 731, 3490, 334, 665, 894, 81, 2208, 81, 1132, 81, 37918, 81, 568, 3577, 29802, 367, 81, 15965, 26, 784, 711, 284, 894, 81, 10996, 280, 428, 291, 301, 324, 330, 731, 950, 353, 36, 30, 324, 330, 3515, 950, 428, 400, 11363, 37918, 31, 568, 3577, 29802, 367, 370, 400, 11363, 5134, 370, 400, 330, 24600, 1593, 370, 400, 11363, 37918, 31, 1832, 31, 1648, 370, 400, 330, 35, 36, 37, 8183, 370 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 8, 8, 11, 11, 9, 10, 8, 8, 8, 11, 11, 9, 10, 10, 12, 12, 10, 10, 12, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 8, 8, 7, 7, 8, 8, 11, 11, 9, 10, 8, 8, 8, 11, 11, 9, 10, 10, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 8, 8, 7, 7, 8, 8, 11, 11, 9, 10, 8, 8, 8, 11, 11, 9, 10, 10, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 8, 8, 7, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 7, 12, 13, 12, 13, 13, 12, 10, 10, 7, 7, 7, 11, 12, 12, 12, 11, 13, 13, 13, 12, 14, 14, 8, 8, 11, 12, 11, 14, 13, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 13, 14, 15, 13, 8, 8, 11, 12, 11, 14, 13, 14, 12, 13, 11, 11, 13, 13, 12, 14, 14, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 8, 8, 11, 11, 9, 10, 8, 8, 8, 11, 11, 9, 10, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 3, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 1, 2, 1, 2, 3, 3, 3, 1, 2, 3, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 5, 5, 1, 2, 1, 2, 5, 5, 5, 1, 2, 3, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 5, 5, 2, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2 ]
[ 465, 5237, 203, 465, 2361, 203, 465, 22045, 203, 465, 22045, 36, 203, 1070, 1984, 2208, 1188, 1984, 2208, 203, 1070, 7138, 1188, 7138, 203, 465, 11040, 36, 2304, 203, 1070, 5592, 10172, 3557, 1188, 3185, 203, 823, 3772, 1486, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2857, 30, 9313, 30, 1984, 30, 2179, 47, 2521, 30, 353, 5868, 47, 37, 34, 34, 30, 4588, 47, 2700, 30, 6699, 1057, 1467, 5793, 299, 7831, 291, 630, 32, 3560, 280, 2857, 291, 630, 32, 7241, 280, 9313, 291, 630, 32, 965, 280, 1984, 291, 630, 32, 1643, 280, 2179, 291, 630, 32, 5457, 280, 5868, 291, 630, 32, 2811, 280, 4588, 291, 630, 32, 3419, 280, 6699, 284, 665, 617, 371, 81, 1141, 26, 784, 30, 3193, 711, 291, 415, 18623, 26, 3731, 30, 7610, 371, 1744, 370, 1665, 27, 438, 646, 1665, 44, 324, 2098, 280, 5237, 1114, 371, 1744, 26, 2649, 547, 88, 81, 687, 324, 3420, 280, 18623, 26, 784, 30, 2098, 32, 331, 81, 426, 30, 1665, 27, 324, 415, 3420, 438, 646, 1665, 461, 20695, 26, 1298, 711, 400, 442, 2098, 32, 331, 81, 426, 291, 813, 44, 324, 3636, 3268, 463, 11394, 10847, 2125, 636, 544, 458, 5624, 683, 284, 665, 622, 81, 9569, 26, 784, 30, 2803, 711, 291, 3616, 280, 1984, 2208, 26, 784, 32, 965, 27, 291, 3408, 280, 3616, 32, 1299, 881, 291, 415, 308, 2403, 32, 13627, 610, 330, 525, 25, 461, 3408, 32, 20643, 16487, 42, 34, 2847, 556, 766, 400, 308, 2403, 32, 13627, 610, 330, 641, 25, 461, 3408, 32, 20643, 16487, 38, 38, 37, 41095, 324, 3408, 280, 3408, 2867, 2035, 32, 100, 1809, 16487, 12357, 291, 1519, 280, 3616, 32, 983, 291, 415, 3616, 32, 983, 610, 40496, 324, 1519, 280, 13637, 291, 18338, 81, 2665, 280, 301, 324, 330, 3560, 950, 630, 32, 3560, 30, 324, 330, 2035, 950, 3408, 30, 324, 330, 13430, 950, 330, 3705, 370, 324, 330, 983, 950, 1519, 30, 324, 330, 2132, 950, 2803, 30, 291, 320, 291, 33316, 280, 11040, 36, 2304, 32, 24281, 36, 23583, 26, 784, 32, 7241, 27, 291, 442, 33316, 32, 5536, 26, 16311, 81, 2665, 27, 284, 665, 622, 81, 384, 102, 462, 5782, 26, 784, 30, 484, 30, 4588, 711, 291, 4245, 280, 484, 32, 850, 346, 291, 415, 4588, 44, 324, 1459, 4245, 291, 1596, 44, 324, 415, 330, 3164, 33, 2593, 25, 328, 484, 32, 5078, 32, 371, 463, 1777, 31, 620, 370, 1665, 711, 400, 645, 4942, 32, 2593, 10172, 3557, 1188, 3185, 400, 4245, 280, 3185, 26, 3958, 27, 324, 813, 44, 400, 1188, 2361, 400, 4245, 280, 2361, 32, 12474, 26, 3958, 27, 324, 415, 330, 27774, 25, 328, 4245, 44, 400, 4245, 280, 4245, 710, 27774, 785, 324, 415, 330, 924, 25, 328, 4245, 44, 400, 4245, 280, 4245, 710, 924, 785, 324, 415, 330, 731, 25, 328, 4245, 44, 400, 4245, 280, 4245, 710, 731, 785, 324, 415, 330, 1436, 25, 328, 4245, 44, 400, 4245, 280, 4245, 710, 1436, 785, 324, 4348, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 6, 6, 4, 4, 5, 6, 4, 4, 5, 7, 7, 7, 7, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 8, 8, 10, 10, 10, 8, 8, 6, 6, 6, 5, 5, 5, 8, 8, 11, 12, 12, 11, 12, 11, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 10, 11, 12, 12, 12, 10, 10, 10, 6, 6, 7, 9, 9, 9, 8, 8, 10, 11, 10, 7, 7, 9, 10, 11, 11, 11, 5, 5, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 6, 6, 7, 8, 8, 4, 4, 5, 11, 10, 11, 9, 9, 11, 11, 8, 8, 10, 11, 10, 12, 12, 12, 6, 6, 7, 6, 11, 10, 11, 9, 9, 11, 11, 8, 8, 10, 11, 10, 12, 12, 12, 12, 5, 5, 8, 8, 9, 13, 12, 13, 13, 12, 14, 4, 4, 6, 6, 7, 8, 4, 4, 5, 7, 8, 6, 6, 5, 5, 8, 8, 4, 4, 7, 7, 6, 6, 7, 7, 10, 10, 8, 9, 10, 7, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 7, 7, 7, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 5, 7, 4, 4, 5, 5, 5, 7, 10, 10, 10, 10, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 10, 10, 7, 7, 9, 10, 11, 11, 11, 9, 9, 8, 8, 10, 10, 12, 13, 12, 7, 7, 8, 8, 8, 10, 9, 9, 11, 11, 13, 14, 13, 14, 13, 6, 6, 7, 10, 10, 8, 8, 7, 7, 7, 10, 10, 11, 13, 13, 6, 6, 7, 10, 10, 8, 8, 7, 7, 7, 10, 10, 11, 13, 13, 6, 6, 7, 10, 10, 8, 8, 7, 7, 7, 10, 10, 11, 13, 13, 6, 6, 7, 10, 10, 8, 8, 7, 7, 7, 10, 10, 11, 13, 13, 7, 7, 8 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 2, 2, 2, 13, 2, 2, 2, 15, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 3, 3, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 2, 2, 4, 4, 4, 0, 2, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 7, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 0, 4, 4, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 3, 1, 2, 1, 1, 3, 3, 3, 0, 0, 2, 1, 2, 2, 2, 4, 1, 2, 1, 1, 4, 4, 4, 0, 0, 2, 1, 2, 4, 4, 4 ]
[ 1070, 19177, 32, 2393, 32, 13995, 1188, 319, 203, 1070, 19177, 32, 105, 1872, 23718, 1188, 5081, 81, 17107, 203, 1070, 19177, 32, 1986, 1188, 3338, 81, 853, 203, 1070, 19177, 32, 525, 11452, 1188, 319, 203, 1070, 19177, 32, 525, 5078, 1188, 10757, 17400, 2893, 30, 624, 18906, 81, 40060, 31198, 30, 3042, 21836, 81, 4975, 203, 465, 2322, 203, 589, 3022, 26, 12757, 30, 1477, 81, 1986, 711, 284, 1795, 280, 3042, 21836, 81, 4975, 26, 12757, 27, 284, 1477, 81, 1986, 440, 36, 34, 34, 9199, 392, 39109, 1777, 31, 620, 370, 330, 878, 33, 7355, 1425, 6035, 2726, 1777, 31, 2380, 370, 2069, 26, 1286, 7748, 284, 442, 1795, 203, 21355, 280, 313, 2142, 44, 573, 282, 479, 104, 693, 32, 508, 30, 36, 34, 34, 39, 44, 4266, 20, 203, 589, 1751, 4068, 26, 12757, 30, 24482, 30, 952, 711, 284, 3882, 280, 1149, 26, 699, 27, 284, 3882, 32, 9833, 346, 284, 3882, 280, 34873, 2524, 26, 2895, 27, 284, 442, 19272, 81, 2895, 26, 21355, 30, 952, 30, 3882, 27, 203, 3164, 280, 6227, 15100, 1972, 26, 3164, 30, 21355, 30, 975, 4068, 27, 203, 3164, 280, 4808, 35621, 26, 3164, 27, 203, 589, 1505, 26, 699, 30, 3882, 30, 1519, 3784, 10280, 284, 308, 1517, 30, 5078, 30, 1286, 30, 4275, 27, 280, 766, 291, 5081, 81, 17107, 26, 3164, 30, 983, 30, 5514, 1057, 878, 33, 916, 683, 284, 1201, 2287, 32, 15990, 440, 38, 34, 35, 657, 284, 18281, 280, 624, 18906, 81, 40060, 31198, 26, 5078, 27, 284, 1789, 280, 10757, 17400, 2893, 26, 699, 47, 699, 30, 3882, 47, 2895, 30, 6035, 18281, 47, 18047, 30, 1519, 47, 983, 27, 284, 1201, 313, 15100, 20, 328, 1789, 461, 952, 328, 1789, 284, 308, 1517, 30, 5078, 30, 1286, 30, 4275, 27, 280, 766, 291, 5081, 81, 17107, 26, 3164, 30, 983, 30, 715, 4808, 81, 47527, 47, 1986, 27, 284, 415, 2287, 32, 15990, 440, 36, 34, 34, 10280, 291, 442, 1795, 284, 415, 2287, 32, 15990, 440, 38, 34, 35, 10280, 291, 442, 1665, 284, 1201, 3177, 30, 313, 10203, 5400, 44, 904, 101, 20, 904, 2287, 203, 589, 894, 81, 13995, 2262, 284, 1201, 330, 12496, 25, 610, 1505, 440, 12496, 1461, 2314, 930, 657, 284, 1201, 1505, 440, 12496, 1461, 3371, 657, 438, 1665, 203, 325, 2322, 32, 12757, 32, 371, 440, 3765, 81, 22251, 1461, 10280, 284, 1188, 22045, 36, 284, 645, 19177, 32, 2811, 32, 858, 1786, 1188, 13942, 284, 2145, 280, 13942, 26, 3164, 27, 284, 665, 3796, 5140, 26, 699, 30, 2895, 30, 983, 3784, 392, 21355, 47, 21355, 711, 291, 2145, 32, 7494, 26, 36, 27, 291, 1188, 6234, 291, 6234, 32, 37329, 5457, 26, 39, 27, 291, 8210, 280, 2884, 525, 555, 23, 101, 6069, 101, 20, 904, 2145, 32, 1786, 81, 2468, 27, 474, 1519, 291, 3796, 280, 22045, 36, 32, 5068, 15100, 2681, 1972, 346, 291, 3796, 32, 669, 81, 2895, 26, 21355, 30, 3423, 30, 699, 30, 2895, 27, 291, 3089, 749, 280, 22045, 36, 32, 1832, 81 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 5, 7, 7, 7, 7, 7, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 9, 10, 9, 2, 2, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 2, 2, 4, 4, 7, 6, 7, 6, 2, 2, 3, 5, 5, 5, 6, 5, 5, 5, 5, 5, 0, 3, 2, 2, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 0, 3, 2, 2, 4, 4, 5, 4, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 5, 1, 1, 6, 5, 6, 5, 6, 5, 6, 5, 4, 4, 5, 4, 6, 6, 6, 7, 6, 7, 6, 6, 7, 9, 9, 9, 9, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 2, 2, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 8, 7, 8, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 7, 7, 5, 5, 4, 4, 5, 5, 2, 2, 6, 5, 6, 5, 6, 5, 6, 5, 4, 4, 5, 4, 6, 6, 6, 7, 6, 7, 6, 6, 6, 8, 8, 7, 8, 6, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 3, 3, 5, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 3, 3, 5, 2, 2, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 3, 6, 6, 4, 4, 6, 8, 8, 8, 8, 8, 2, 2, 3, 6, 8, 8, 8, 8, 4, 4, 0, 1, 1, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 1, 1, 3, 5, 2, 2, 3, 4, 5, 4, 5, 5, 3, 3, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 5, 4, 6, 5, 7, 6, 5, 6, 4, 3, 3, 7, 8, 7, 8, 7, 4, 4, 5, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 6, 6, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 11, 11, 11, 8, 7, 7, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 4, 4, 7, 6, 6, 9, 8, 9, 9 ]	[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 3, 3, 0, 4, 4, 1, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 0, 6, 6, 2, 1, 2, 2, 3, 3, 2, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 2, 1, 2, 2, 2, 2, 2, 8, 8, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 5, 5, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 11, 11, 2, 1, 2, 2, 2, 2, 5, 2, 11, 11, 1, 0, 3, 0, 5, 0, 7, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 4, 1, 2, 0, 0, 1, 1, 2, 2, 4, 4, 1, 0, 3, 0, 5, 0, 7, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 3, 1, 1, 1, 0, 0, 5, 2, 1, 4, 4, 6, 0, 2, 1, 1, 1, 1, 2, 6, 6, 0, 4, 4, 7, 0, 2, 1, 1, 1, 1, 2, 7, 7, 0, 4, 4, 8, 8, 8, 1, 1, 1, 1, 1, 2, 3, 3, 0, 12, 12, 1, 1, 2, 12, 12, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 13, 13, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 13, 13, 0, 0, 3, 3, 1, 1, 2, 1, 4, 4, 1, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 3, 1, 2, 1, 2, 3, 2, 0, 5, 2, 0, 7, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2 ]
[ 465, 2322, 203, 465, 10020, 203, 465, 18792, 203, 465, 2361, 203, 465, 11685, 203, 465, 5741, 203, 465, 1933, 203, 1070, 15798, 1188, 19205, 203, 1070, 17048, 1186, 32, 9247, 1188, 310, 639, 411, 81, 9247, 81, 3483, 619, 3340, 203, 465, 310, 639, 411, 32, 11201, 32, 16780, 619, 4527, 203, 1070, 310, 639, 411, 32, 11201, 32, 16780, 1188, 26655, 203, 1070, 17048, 1186, 32, 2304, 32, 11201, 32, 1126, 1188, 4540, 203, 1070, 17048, 1186, 32, 2304, 32, 11201, 32, 14028, 764, 1188, 2398, 14306, 203, 1070, 17048, 1186, 32, 15265, 32, 15265, 1188, 4522, 81, 26875, 1353, 203, 1070, 17048, 1186, 32, 10009, 297, 723, 1188, 489, 16127, 723, 43651, 203, 1070, 17048, 1186, 32, 2304, 32, 2304, 1188, 1491, 81, 1260, 30, 1487, 81, 314, 81, 800, 30, 2866, 81, 2024, 81, 1260, 30, 766, 284, 622, 81, 2135, 81, 23376, 81, 3038, 30, 17128, 2665, 81, 452, 81, 2665, 30, 1505, 81, 23376, 81, 979, 81, 1582, 3732, 203, 1070, 17048, 1186, 32, 2304, 32, 25712, 1188, 308, 284, 1487, 81, 278, 269, 81, 25712, 30, 284, 1487, 81, 1298, 81, 25712, 30, 284, 32105, 81, 1298, 81, 4519, 30, 284, 1487, 81, 8304, 81, 25712, 30, 284, 1487, 81, 1553, 81, 979, 81, 101, 37, 81, 1251, 30, 284, 5889, 81, 15592, 203, 27, 203, 1070, 17048, 1186, 32, 893, 81, 2304, 32, 20847, 81, 45062, 1188, 23667, 81, 45062, 203, 1070, 17048, 1186, 32, 893, 81, 2304, 32, 4597, 24081, 81, 24472, 1188, 1288, 81, 5020, 81, 9138, 518, 30, 766, 284, 27603, 265, 81, 108, 81, 5020, 81, 9138, 518, 203, 4073, 280, 5741, 32, 10579, 463, 9874, 683, 203, 823, 6287, 4198, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 540, 5178, 47, 2521, 30, 636, 47, 2521, 30, 8444, 47, 2521, 30, 13531, 81, 668, 47, 2521, 711, 291, 415, 646, 540, 5178, 44, 324, 630, 32, 100, 5178, 280, 2149, 291, 813, 44, 324, 630, 32, 100, 5178, 280, 540, 5178, 291, 415, 646, 13531, 81, 668, 44, 324, 630, 32, 7413, 81, 668, 280, 1605, 291, 813, 44, 324, 630, 32, 7413, 81, 668, 280, 13531, 81, 668, 291, 630, 32, 426, 280, 636, 291, 415, 8444, 44, 324, 630, 32, 4687, 280, 8444, 324, 630, 32, 751, 1515, 280, 8444, 32, 9247, 81, 5522, 710, 751, 81, 5660, 4902, 983, 785, 324, 630, 32, 1516, 81, 33419, 280, 8444, 32, 9247, 81, 5522, 710, 2946, 81, 1163, 8150, 400, 330, 1449, 81, 7391, 81, 462, 81, 24219, 785, 324, 630, 32, 1516, 81, 2376, 81, 7391, 280, 8444, 32, 9247, 81, 5522, 710, 2946, 81, 1163, 8150, 400, 330, 1516, 81, 2376, 81, 10459, 785, 324, 630, 32, 2376, 81, 15576, 280, 8444, 32, 15265, 81, 23829, 77, 400, 330, 18651, 81, 15265, 4902, 1298, 81, 15265, 81, 452, 81, 2387, 8150, 400, 330, 4516, 101, 81, 30162, 4902, 37654, 785, 324, 630, 32, 88, 2003, 81, 15576, 280, 8444, 32, 15265, 81, 23829, 77, 400, 330, 18651, 81, 15265, 4902, 1298, 81, 15265, 81 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 4, 4, 4, 4, 2, 2, 0, 1, 1, 4, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 7, 5, 5, 5, 9, 10, 10, 8, 8, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 10, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 5, 5, 6, 6, 6, 10, 11, 11, 11, 9, 9, 10, 10, 4, 4, 7, 8, 6, 6, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 6, 6, 9, 10, 10, 8, 8, 11, 12, 12, 12, 10, 12, 12, 12, 12, 11, 11, 6, 6, 9, 10, 10, 10, 8, 8, 11, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 10, 10, 10, 10, 8, 8, 11, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 10, 10, 8, 8, 13, 14, 14, 14, 12, 12, 12, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 12, 12, 12, 12, 12, 11, 11, 6, 6, 9, 10, 10, 10, 10, 8, 8, 13, 14, 14, 14, 12, 12, 12, 14, 14, 14, 14, 13, 13, 13, 13 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 3, 3, 0, 9, 9, 0, 0, 0, 2, 0, 4, 1, 1, 0, 10, 10, 0, 0, 1, 2, 1, 4, 10, 10, 0, 11, 11, 0, 1, 2, 1, 4, 1, 6, 11, 11, 0, 12, 12, 0, 1, 2, 1, 4, 1, 6, 6, 12, 12, 0, 0, 13, 13, 0, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 14, 14, 0, 1, 2, 2, 2, 14, 14, 0, 0, 0, 0, 15, 15, 0, 1, 2, 1, 4, 15, 15, 0, 0, 15, 15, 0, 0, 0, 0, 15, 15, 0, 0, 0, 0, 15, 15, 9, 15, 0, 0, 0, 0, 0, 0, 15, 15, 0, 0, 0, 0, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 1, 2, 1, 4, 16, 16, 16, 16, 0, 0, 0, 0, 0, 16, 16, 16, 0, 0, 0, 0, 16, 16, 16, 0, 0, 0, 0, 16, 16, 16, 0, 0, 0, 0, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 0, 0, 16, 16, 0, 17, 17, 0, 1, 2, 2, 2, 1, 4, 4, 4, 17, 17, 0, 0, 0, 18, 18, 0, 1, 2, 2, 2, 1, 4, 4, 4, 4, 18, 18, 0, 0, 0, 0, 0, 18, 18, 5, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 20, 20, 1, 2, 1, 2, 20, 20, 0, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 0, 9, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 4, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 4, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 3, 3, 3, 3, 0, 2, 0, 0, 3, 3, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1 ]
[ 106, 280, 739, 4901, 83, 1195, 100, 1195, 4866, 1195, 76, 3490, 203, 862, 816, 379, 470, 4901, 4866, 1195, 76, 1195, 83, 1195, 100, 3490, 203, 862, 2069, 26, 106, 19162, 38, 203, 106, 32, 669, 463, 9793, 683, 203, 862, 2069, 26, 106, 19162, 39, 203, 106, 32, 669, 463, 9793, 683, 203, 862, 2069, 26, 106, 19162, 39, 203, 862, 330, 100, 25, 328, 816, 203, 862, 330, 100, 618, 25, 646, 328, 816, 203, 107, 280, 739, 2009, 35, 30, 36, 30, 37, 1130, 203, 862, 816, 32, 297, 1285, 11941, 26, 107, 27, 203, 107, 32, 669, 463, 100, 683, 203, 862, 646, 816, 32, 297, 1285, 11941, 26, 107, 27, 203, 108, 280, 739, 4901, 83, 1195, 100, 3490, 203, 862, 1288, 32, 297, 19113, 26, 106, 27, 203, 862, 1288, 2511, 816, 203, 862, 1288, 333, 816, 203, 862, 816, 32, 2660, 1904, 470, 26, 108, 27, 203, 862, 816, 2377, 1288, 203, 862, 816, 848, 1288, 203, 862, 646, 1288, 32, 297, 19113, 26, 107, 27, 203, 862, 1288, 110, 107, 610, 5053, 83, 1195, 100, 370, 35, 30, 36, 30, 37, 111, 203, 862, 1288, 32, 13304, 26, 107, 27, 610, 5053, 83, 1195, 100, 370, 35, 30, 36, 30, 37, 111, 203, 862, 816, 24, 107, 379, 12157, 100, 6040, 203, 862, 816, 32, 11232, 26, 107, 19162, 12157, 100, 6040, 203, 862, 816, 31, 107, 379, 12157, 83, 1195, 4866, 1195, 76, 1195, 9793, 6040, 203, 862, 1288, 80, 107, 610, 5053, 83, 370, 35, 30, 36, 30, 37, 111, 203, 106, 32, 2546, 463, 9793, 683, 203, 862, 816, 379, 12157, 83, 1195, 100, 1195, 4866, 1195, 76, 6040, 203, 106, 32, 29853, 463, 1373, 18439, 683, 203, 862, 816, 379, 12157, 83, 1195, 100, 1195, 4866, 1195, 76, 6040, 203, 106, 32, 29853, 463, 83, 683, 203, 862, 816, 379, 12157, 100, 1195, 4866, 1195, 76, 6040, 203, 108, 32, 3235, 346, 203, 862, 1288, 379, 12157, 83, 6040, 203, 108, 32, 3235, 346, 203, 1270, 44, 108, 32, 3235, 346, 203, 7343, 25085, 44, 4617, 203, 106, 32, 3815, 346, 203, 862, 2069, 26, 106, 19162, 34, 203, 106, 280, 20073, 470, 4901, 83, 1195, 100, 1195, 4866, 1195, 76, 3490, 203, 862, 596, 26, 106, 547, 15990, 440, 30480, 470, 1371, 657, 203, 862, 816, 379, 470, 4901, 4866, 1195, 76, 1195, 83, 1195, 100, 3490, 203, 862, 2069, 26, 106, 19162, 38, 203, 1270, 44, 284, 816, 32, 669, 463, 9793, 683, 203, 7343, 29316, 44, 284, 3097, 203, 862, 2069, 26, 106, 19162, 38, 203, 862, 330, 100, 25, 328, 816, 203, 862, 330, 100, 618, 25, 646, 328, 816, 203, 823, 9214, 26, 470, 711, 284, 665, 2519, 26, 784, 711, 291, 442, 330, 2245, 25, 203, 106, 280, 9214, 2009, 35, 30, 36, 1130, 203, 862, 816, 32, 2245, 346, 10844, 2245, 25, 203, 1216, 440, 20058, 1169, 3312, 497, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 3, 2, 2, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 4, 5, 4, 3, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 4, 5, 4, 3, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 4, 5, 4, 3, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 4, 4, 4, 2, 2, 2, 0, 3, 2, 2, 4, 6, 5, 6, 5, 6, 5, 0, 1, 1, 3, 4, 4, 4, 3, 4, 3, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 2, 4, 5, 5, 5, 4, 5, 4, 0, 3, 2, 2, 4, 7, 7, 7, 7, 0, 1, 1, 3, 4, 4, 3, 4, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 4, 4, 3, 4, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 4, 5, 5, 4, 5, 4, 0, 1, 1, 3, 4, 2, 2, 5, 5, 5, 5, 4, 3, 4, 3, 4, 3, 0, 1, 1, 4, 5, 4, 5, 4, 2, 2, 5, 5, 5, 5, 4, 3, 4, 3, 4, 3, 0, 1, 1, 3, 4, 2, 3, 5, 5, 0, 1, 1, 4, 5, 4, 5, 4, 3, 5, 5, 0, 1, 1, 3, 4, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 3, 4, 2, 2, 5, 5, 4, 3, 4, 3, 4, 3, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 0, 1, 1, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 2, 3, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 0, 1, 1, 2, 3, 5, 5, 0, 4, 3, 4, 3, 0, 1, 1, 6, 5, 6, 5, 1, 2, 2, 2, 4, 0, 4, 3, 4, 3, 0, 1, 1, 4, 5, 4, 3, 0, 3, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 5, 6, 5, 4, 3, 5, 5, 5, 5, 0, 1, 1, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 4, 5, 4, 3, 0, 1, 1, 1, 1, 5, 6, 5, 7, 7, 1, 2, 2, 2, 2, 2, 0, 1, 1, 4, 5, 4, 3, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 4, 4, 4, 2, 2, 2, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 7, 7, 0, 3, 2, 2, 4, 6, 5, 6, 5, 0, 1, 1, 4, 5, 4, 2, 4, 4, 0, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]	[ 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 4, 4, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 6, 6, 1, 1, 1, 2, 0, 7, 7, 1, 2, 1, 1, 0, 8, 8, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 3, 1, 5, 1, 0, 10, 10, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 12, 12, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 14, 14, 0, 2, 2, 1, 1, 1, 0, 15, 15, 1, 1, 0, 16, 16, 1, 1, 0, 17, 17, 0, 2, 2, 2, 1, 1, 1, 0, 18, 18, 1, 1, 0, 19, 19, 1, 1, 0, 20, 20, 1, 0, 2, 2, 1, 1, 1, 0, 21, 21, 0, 2, 1, 1, 1, 2, 1, 2, 5, 2, 7, 2, 9, 2, 0, 22, 22, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 2, 7, 2, 9, 2, 0, 23, 23, 0, 2, 1, 2, 1, 2, 0, 24, 24, 0, 2, 1, 1, 1, 2, 1, 2, 0, 25, 25, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 26, 26, 0, 2, 1, 1, 1, 2, 3, 2, 5, 2, 7, 2, 0, 0, 0, 2, 1, 1, 2, 0, 28, 28, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 30, 30, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 32, 32, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 34, 34, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 36, 36, 0, 0, 2, 1, 36, 3, 3, 3, 0, 0, 0, 0, 2, 1, 0, 38, 38, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 40, 40, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 41, 41, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 42, 42, 1, 1, 1, 2, 0, 43, 43, 43, 43, 0, 2, 1, 1, 2, 43, 3, 3, 3, 3, 3, 0, 44, 44, 1, 1, 1, 2, 0, 45, 45, 1, 2, 1, 1, 0, 46, 46, 1, 1, 2, 1, 1, 1, 0, 47, 47, 2, 1, 2, 47, 47, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 3, 1, 0, 49, 49, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 316, 203, 465, 787, 1909, 203, 1070, 13625, 1188, 41829, 203, 1070, 1344, 4071, 1188, 409, 43736, 203, 1070, 597, 2061, 91, 32, 297, 431, 332, 1003, 32, 605, 1188, 16685, 30, 3717, 1943, 30, 16600, 203, 1070, 597, 2061, 91, 32, 297, 431, 332, 1003, 32, 5937, 483, 1188, 3717, 1943, 15434, 265, 203, 1070, 597, 2061, 91, 32, 297, 431, 332, 1003, 32, 25882, 1188, 3717, 1943, 2825, 30, 16685, 2825, 203, 1070, 597, 2061, 91, 32, 297, 431, 332, 1003, 32, 11452, 1188, 3611, 431, 332, 1003, 924, 203, 1070, 7443, 9028, 32, 1867, 32, 2208, 85, 32, 11452, 1188, 308, 284, 1682, 22239, 30, 8956, 22239, 30, 8956, 1097, 924, 27, 203, 1070, 7443, 9028, 32, 1867, 32, 1113, 6789, 2095, 1188, 3725, 4206, 1222, 203, 823, 2716, 4215, 7063, 44, 284, 617, 6755, 81, 15259, 81, 62, 81, 5975, 280, 316, 32, 6993, 26, 100, 14891, 24183, 25, 1736, 6603, 18470, 25888, 12456, 25, 1736, 38131, 3730, 32147, 284, 617, 6755, 81, 20965, 81, 62, 81, 5975, 280, 316, 32, 6993, 26, 100, 7362, 24183, 20, 1736, 6603, 18470, 25888, 12456, 20, 1736, 38131, 3730, 20, 683, 284, 617, 6755, 81, 15259, 81, 5975, 280, 316, 32, 6993, 26, 100, 14891, 24183, 25, 1736, 6603, 18470, 25888, 12456, 25, 1736, 38131, 3730, 25, 18470, 78, 101, 8088, 2805, 21, 3424, 6505, 6505, 22, 657, 284, 617, 6755, 81, 20965, 81, 5975, 280, 316, 32, 6993, 26, 100, 7362, 24183, 20, 1736, 6603, 18470, 25888, 12456, 20, 1736, 38131, 3730, 20, 18470, 78, 101, 8088, 2805, 21, 3424, 6505, 6505, 22, 683, 284, 617, 6755, 81, 71, 2150, 66, 280, 316, 32, 6993, 26, 100, 2993, 4901, 1446, 49, 2502, 40708, 5421, 35, 26, 30, 39756, 27, 41135, 284, 617, 6755, 81, 15259, 72, 280, 316, 32, 6993, 26, 100, 20, 1162, 2805, 80, 12456, 785, 8088, 2805, 25, 12456, 785, 28, 683, 28, 12456, 785, 3730, 16886, 21, 3424, 9501, 657, 284, 617, 6755, 81, 20965, 72, 280, 316, 32, 6993, 463, 1162, 2805, 80, 12456, 1446, 8088, 49, 1924, 12456, 1446, 28, 657, 28, 12456, 1446, 3730, 16886, 21, 3424, 9501, 683, 284, 617, 6755, 81, 18174, 81, 4780, 81, 20799, 280, 316, 32, 6993, 26, 291, 540, 7646, 51, 9592, 29548, 10228, 9592, 78, 101, 8088, 2805, 21, 3424, 6505, 78, 76, 392, 316, 32, 24924, 1466, 3123, 523, 316, 32, 6737, 2320, 27, 284, 617, 6755, 81, 18174, 81, 4780, 81, 15781, 280, 316, 32, 6993, 26, 291, 540, 10255, 51, 2993, 29548, 10228, 2993, 78, 101, 8088, 2805, 21, 3424, 6505, 78, 76, 370, 316, 32, 24924, 1466, 3123, 523, 316, 32, 6737, 2320, 27, 284, 617, 6755, 81, 1844, 81, 13412, 280, 316, 32, 6993, 26, 291, 540, 10255, 51, 2009, 29, 11466, 79, 21194, 86, 40935, 101, 18899, 5327, 5327, 101, 28, 2009, 29, 11466, 79, 21194, 86, 29, 2502, 48813, 101, 18899, 5327, 5327, 101, 28, 4987, 86, 29, 490, 21194, 76, 683, 284, 617, 6755, 81, 18174, 81, 7597, 280, 316, 32, 6993, 26, 100, 20879, 13644, 105 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 7, 7, 8, 9, 9, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 7, 7, 8, 9, 9, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8 ]	[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 4, 4, 4, 0, 4, 4, 0, 5, 5, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 2, 2, 2, 1, 4, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 2, 2, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 4, 1, 6, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 9, 9, 0, 1, 2, 1, 4, 4, 4, 9, 9, 0, 0, 0, 10, 10, 1, 1, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 3, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 3, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1 ]
[ 1070, 9195, 1188, 1695, 203, 1070, 5296, 1188, 706, 30, 3851, 203, 465, 22977, 203, 465, 2322, 203, 465, 5237, 203, 465, 13539, 761, 203, 1070, 6382, 1188, 5675, 203, 1070, 22045, 32, 1357, 1188, 1984, 19042, 203, 1070, 281, 2765, 32, 1262, 32, 4627, 1188, 390, 2765, 1761, 1917, 30, 21955, 203, 823, 6741, 1917, 26, 53, 2765, 1761, 1917, 711, 284, 443, 11985, 44, 291, 2266, 280, 330, 3789, 25, 291, 4138, 318, 81, 267, 280, 330, 1439, 25, 284, 477, 41856, 26, 4756, 1057, 7203, 101, 6440, 645, 600, 1995, 1658, 32, 7070, 803, 11834, 284, 665, 2443, 26, 784, 711, 291, 706, 81, 2067, 280, 706, 32, 750, 346, 291, 1968, 81, 983, 280, 706, 81, 2067, 32, 371, 81, 1832, 81, 983, 346, 291, 6382, 280, 5675, 346, 291, 415, 646, 2322, 32, 983, 32, 4658, 26, 1832, 81, 983, 711, 324, 1459, 440, 16608, 1968, 3362, 657, 324, 2322, 32, 10174, 26, 1832, 81, 983, 27, 291, 3851, 81, 426, 280, 706, 81, 2067, 32, 371, 81, 983, 81, 2888, 346, 291, 3851, 81, 2067, 280, 3851, 32, 2879, 26, 2630, 81, 426, 27, 291, 1459, 440, 33829, 1123, 6440, 21850, 291, 21022, 280, 3330, 291, 436, 9143, 328, 706, 81, 2067, 32, 371, 81, 11176, 2262, 324, 21022, 280, 21022, 474, 313, 313, 474, 9143, 291, 436, 1628, 328, 3851, 81, 2067, 32, 4526, 463, 3925, 429, 4918, 517, 2868, 33, 286, 3883, 962, 13947, 517, 2868, 33, 286, 3883, 962, 9098, 517, 2868, 33, 286, 3883, 962, 9702, 31, 371, 5822, 330, 474, 21022, 711, 324, 1459, 26, 928, 30, 943, 38913, 291, 1459, 463, 685, 12447, 299, 6440, 30865, 291, 436, 1628, 328, 3851, 81, 2067, 32, 4526, 463, 3246, 429, 35, 517, 2868, 33, 286, 3883, 523, 2218, 1491, 1628, 2082, 745, 343, 4652, 31, 9508, 429, 68, 517, 2868, 33, 286, 3883, 9764, 928, 517, 18580, 33, 725, 449, 1209, 33, 1832, 2082, 3390, 7831, 324, 1459, 26, 928, 27, 291, 1459, 463, 1063, 4093, 4227, 30865, 291, 3851, 81, 2067, 32, 4526, 463, 43231, 429, 68, 330, 474, 596, 26, 500, 32, 371, 1890, 1157, 474, 25487, 474, 596, 26, 500, 32, 371, 15946, 1157, 474, 330, 517, 18580, 33, 725, 449, 1209, 33, 1832, 683, 291, 22977, 32, 100, 41718, 463, 1832, 33, 852, 10030, 927, 683, 291, 1459, 463, 25533, 5440, 803, 30865, 291, 706, 81, 2067, 32, 1821, 81, 809, 81, 761, 346, 291, 1459, 440, 7371, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 3, 3, 3, 6, 6, 8, 8, 4, 4, 7, 7, 7, 6, 6, 8, 8, 2, 2, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 10, 9, 5, 5, 8, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 5, 5, 7, 7, 9, 5, 5, 6, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 6, 6, 10, 12, 12, 12, 12, 7, 7, 10, 11, 10, 11, 11, 11, 10, 5, 5, 8, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 5, 5, 8, 8, 7, 7, 9, 10, 9, 10, 10, 10, 9, 5, 5, 8, 10, 10, 10, 10, 5, 5, 7, 7, 5, 5, 6, 6, 6, 9, 9, 8, 9, 9, 9, 8, 6, 6, 9, 9, 11, 11, 13, 10, 10, 5, 5, 6, 6, 6, 9, 9, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 8, 6, 6, 10, 11, 10, 10, 11, 5, 5, 8, 10, 10, 10, 10, 10, 5, 5, 6, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 10, 11, 10, 5, 5, 8, 10, 10, 10, 10, 5, 5, 9, 9, 8, 9, 8, 14, 14, 14, 14, 12, 12, 14, 17, 16, 17, 17, 16, 11, 11, 10, 10, 12, 15, 14, 15, 15, 14, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 5, 5, 8, 10, 10, 10, 10, 5, 5, 9, 9, 8, 9, 9, 9, 9, 9, 8, 5, 5, 8, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 8, 8, 0, 9, 9, 1, 2, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 1, 4, 4, 3, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 8, 8, 8, 0, 0, 0, 2, 2, 2, 1, 8, 8, 0, 0, 0, 0, 1, 2, 2, 4, 4, 9, 9, 9, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 1, 1, 3, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 11, 11, 11, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 11, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 323, 1253, 81, 1506, 107, 32, 1637, 81, 1473, 1188, 6012, 959, 203, 823, 13392, 1777, 74, 2227, 4672, 26, 1969, 959, 711, 284, 1984, 280, 1665, 284, 551, 48310, 81, 4620, 758, 280, 5608, 106, 1521, 31, 8397, 81, 1071, 4451, 25, 284, 665, 1156, 1664, 3207, 784, 30, 5427, 30, 31170, 711, 291, 2599, 26, 5876, 1777, 74, 2227, 4672, 30, 630, 14585, 1664, 3207, 7128, 27, 291, 630, 32, 25102, 280, 31170, 284, 665, 438, 81, 7128, 81, 267, 81, 1637, 26, 784, 711, 291, 442, 630, 32, 99, 26, 2079, 1057, 2537, 77, 605, 31, 314, 347, 2537, 1446, 2473, 1643, 26, 784, 32, 16938, 81, 4620, 758, 30, 630, 32, 25102, 3427, 2689, 284, 665, 617, 28959, 81, 9003, 26, 784, 30, 9182, 711, 291, 442, 1044, 25, 2537, 77, 605, 31, 314, 347, 2537, 1446, 19553, 1643, 26, 324, 630, 32, 16938, 81, 4620, 758, 30, 324, 630, 32, 25102, 30, 324, 9182, 291, 829, 284, 477, 2433, 284, 665, 5713, 81, 8078, 26, 784, 711, 291, 2838, 81, 8587, 280, 630, 32, 99, 26, 2079, 47, 784, 1114, 28959, 81, 9003, 440, 507, 77, 605, 31, 314, 79, 2131, 291, 442, 20073, 470, 26, 2661, 32, 878, 436, 2838, 328, 2838, 81, 8587, 27, 284, 477, 2433, 284, 665, 5713, 81, 5078, 26, 784, 711, 291, 2838, 81, 8587, 81, 5078, 280, 630, 32, 99, 26, 2079, 47, 784, 1114, 28959, 81, 9003, 440, 507, 77, 605, 31, 314, 79, 638, 14211, 31, 2111, 2131, 291, 442, 20073, 470, 26, 2661, 32, 878, 436, 2838, 328, 2838, 81, 8587, 81, 5078, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 8, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 13, 12, 13, 13, 13, 13, 11, 11, 12, 13, 11, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 8, 9, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 10, 9, 11, 10, 13, 12, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 14, 5, 5, 6, 8, 8, 10, 9, 10, 8, 9, 9, 9, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 7, 7, 9, 10, 9, 11, 10, 13, 12, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 5, 5, 6, 8, 8, 10, 9, 10, 8, 9, 9, 9, 10, 10, 10, 10, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 1, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 4, 4, 1, 5, 5, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 3, 3, 1, 4, 4, 1, 6, 6, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 465, 2322, 203, 465, 6436, 619, 2065, 203, 465, 6677, 36, 203, 589, 6122, 81, 8270, 26, 893, 711, 334, 5881, 7334, 322, 1760, 1778, 1991, 2819, 3346, 30, 9733, 461, 10087, 11022, 32, 334, 1778, 429, 312, 6436, 1417, 432, 6024, 308, 2138, 30, 6090, 30, 225, 37, 547, 334, 1688, 429, 8019, 6436, 12051, 432, 6024, 308, 2138, 30, 6090, 27, 461, 9710, 2432, 619, 2607, 1778, 30, 6621, 322, 8435, 11022, 32, 5235, 5294, 1930, 3654, 322, 1688, 6024, 1401, 1755, 225, 36, 6339, 19, 334, 2616, 1980, 30, 308, 40, 34, 34, 30, 225, 42, 34, 34, 27, 4174, 432, 308, 40, 34, 34, 30, 225, 42, 34, 34, 30, 225, 35, 27, 334, 5881, 334, 3346, 280, 1665, 334, 9733, 280, 1665, 334, 10087, 280, 1665, 334, 10087, 280, 1778, 45434, 34, 79, 334, 9733, 280, 1778, 45434, 35, 79, 334, 3346, 280, 1778, 45434, 36, 79, 334, 442, 3346, 30, 9733, 30, 10087, 203, 589, 2575, 2262, 334, 5881, 1348, 667, 16642, 1370, 6122, 3261, 372, 5703, 32, 334, 2030, 1098, 3233, 3919, 322, 5703, 33, 2050, 34, 1361, 6175, 30, 461, 4871, 1370, 38431, 5235, 667, 372, 2504, 1591, 32, 2030, 1098, 1615, 4131, 322, 14302, 5703, 32, 334, 5881, 334, 5703, 6175, 34, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 1537, 1515, 30, 330, 2242, 370, 330, 2050, 34, 2847, 334, 1459, 5881, 47648, 436, 5703, 328, 2149, 4844, 334, 308, 11104, 5079, 3346, 30, 9733, 30, 556, 10087, 328, 322, 636, 27, 2699, 2473, 1643, 26, 2242, 6175, 34, 27, 334, 1447, 101, 280, 2107, 32, 25108, 370, 5608, 4365, 95, 370, 5608, 2323, 95, 370, 5608, 593, 95, 370, 5608, 6858, 370, 5608, 12792, 370, 5608, 10561, 370, 5608, 3072, 370, 3701, 5608, 92, 348, 370, 5608, 11554, 36, 370, 5608, 37002, 370, 5608, 28102, 370, 5608, 1645, 785, 334, 436, 24797, 30, 4921, 4243, 30, 26719, 328, 2322, 32, 11905, 26, 2242, 6175, 34, 711, 284, 436, 4870, 328, 26719, 44, 397, 636, 30, 1447, 280, 2322, 32, 983, 32, 48271, 26, 3607, 27, 397, 415, 1447, 328, 1447, 101, 461, 330, 1092, 25, 646, 328, 636, 461, 330, 6555, 25, 646, 328, 636, 461, 766, 291, 330, 5466, 25, 646, 328, 636, 44, 291, 1459, 313, 7334, 1054, 1778, 2149, 35145, 1643, 26, 3607, 27, 291, 4791, 280, 6677, 36, 32, 40375, 26, 500, 32, 983, 32, 2524, 26, 7781, 30, 4870, 490, 291, 3346, 30, 9733, 30, 10087, 280, 6122, 81, 8270, 26, 1275, 27, 291, 436, 2078, 30, 1963, 30, 3826, 328, 8529, 1162, 1092, 30, 9733, 30, 10087, 471, 4288, 2726, 1092, 370, 330, 6555, 370, 330, 5466, 1425, 308, 36, 30, 35, 30, 34, 8531, 616, 4791, 280, 2065, 32, 9880, 1162, 2810, 32, 3229, 77, 34, 614, 2078, 32, 3229, 77, 35, 614, 225, 37, 471, 19071, 9710, 280, 2078, 32, 12010, 27, 13499, 4791, 45434, 3237, 79, 280, 2078, 616, 1459, 313, 25533, 1778, 2149, 35145, 1643, 26, 426, 29, 1489, 29, 407 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 5, 6, 5, 2, 2, 4, 4, 5, 6, 5, 2, 2, 4, 4, 5, 6, 5, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 10, 9, 10, 10, 8, 8, 10, 10, 8, 10, 10, 10, 2, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 2, 2, 5, 4, 4, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 3, 3, 5, 6, 5, 6, 6, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 6, 6, 7, 11, 11, 12, 10, 10, 13, 13, 11, 11, 11, 9, 9, 12, 12, 10, 10, 10, 8, 8, 8, 8, 11, 11, 9, 9, 9, 7, 7, 7, 9, 13, 13, 13, 13, 13, 12, 11, 12, 11, 8, 8, 10, 10, 13, 12, 13, 12, 16, 15, 16, 14, 15, 14, 15, 14, 14, 14, 8, 8, 11, 11, 11, 11, 10, 10, 12, 12, 12, 13, 12, 8, 8, 9, 10, 10, 10, 10, 9, 9, 11, 13, 12, 12, 12, 12, 12, 11, 11, 14, 14, 12, 14, 14, 12, 14, 14, 11, 13, 12, 13, 12, 13, 12, 9, 9, 12, 12, 14, 15, 14, 18, 17, 18, 16, 17, 16, 15, 17, 18, 16, 17, 16, 15, 16, 15, 14, 14, 15, 15, 16, 17, 14, 10, 10, 13, 14, 13, 12, 12, 10, 10, 11, 15, 15, 15, 15, 14, 13, 16, 15, 16, 14, 15 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 2, 6, 2, 4, 4, 0, 0, 2, 6, 2, 4, 4, 0, 0, 2, 6, 2, 4, 4, 7, 1, 1, 1, 1, 0, 5, 5, 2, 5, 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, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 4, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 5, 5, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 5, 3, 5, 5, 5, 3, 3, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 3, 2, 3, 1, 5, 1, 1, 1, 3, 3, 2, 2, 1, 5, 5, 0, 6, 0, 0, 0, 5, 5, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2 ]
[ 1070, 19486, 32, 1711, 1208, 1188, 5245, 1208, 30, 16901, 444, 1711, 1208, 30, 5104, 1711, 1208, 203, 1070, 19486, 32, 20914, 583, 8247, 1188, 10926, 583, 8247, 4018, 30, 2290, 11884, 1943, 203, 1070, 19486, 32, 1612, 1188, 4237, 203, 1070, 19486, 32, 2168, 1188, 9286, 203, 1070, 19486, 32, 14968, 720, 1188, 399, 34437, 81, 19814, 69, 30, 32761, 3989, 81, 19814, 69, 30, 475, 19590, 81, 19814, 69, 203, 1070, 19486, 32, 4152, 1722, 1188, 10252, 203, 1070, 19486, 32, 1183, 1151, 12147, 1188, 4851, 1151, 12147, 203, 1070, 19486, 32, 14813, 32, 4709, 1188, 5069, 203, 1070, 19486, 32, 1163, 1188, 1359, 30, 1359, 761, 30, 3383, 4709, 30, 3383, 11396, 203, 1070, 19486, 32, 1598, 1120, 1188, 1171, 1120, 203, 1070, 19486, 32, 6772, 1063, 1188, 16312, 22183, 3157, 1215, 30, 1244, 14968, 1215, 30, 16312, 6421, 1215, 30, 3383, 5374, 203, 1070, 19486, 32, 44061, 1188, 46157, 44061, 30, 10473, 44061, 203, 1070, 19486, 32, 14813, 32, 5972, 1031, 1188, 14360, 1031, 203, 1070, 19486, 32, 5600, 2168, 1188, 19182, 2168, 203, 1070, 34430, 32, 4152, 1188, 11028, 4327, 203, 1070, 19486, 32, 1043, 5494, 1188, 12437, 2900, 1043, 5494, 203, 1070, 358, 1220, 1229, 32, 4615, 1188, 14215, 203, 1070, 358, 1220, 1229, 1188, 14215, 41918, 203, 1070, 358, 1220, 1229, 32, 3525, 5374, 1188, 11026, 5374, 30, 18426, 66, 76, 368, 5374, 30, 551, 644, 21719, 4439, 30, 516, 2323, 52, 644, 21719, 4439, 203, 1070, 358, 1220, 1229, 32, 13860, 1705, 1188, 37438, 1705, 203, 1070, 358, 1220, 1229, 32, 54, 1708, 1188, 475, 1708, 203, 1070, 358, 1220, 1229, 32, 1151, 1074, 1188, 3903, 1074, 7414, 57, 1908, 30, 3903, 1074, 5291, 203, 1070, 358, 1220, 1229, 32, 55, 2323, 5374, 1188, 516, 7649, 5374, 203, 1070, 358, 1220, 1229, 32, 1612, 1705, 1188, 4237, 1705, 203, 1070, 358, 1220, 1229, 32, 22957, 1188, 18513, 203, 1070, 358, 1220, 1229, 32, 20186, 1612, 1188, 7507, 1142, 1612, 203, 1070, 358, 1220, 1229, 32, 6421, 5374, 1188, 16332, 5374, 203, 1070, 358, 1220, 1229, 32, 13554, 383, 13554, 1188, 35355, 383, 13554, 203, 1070, 358, 1220, 1229, 32, 66, 9268, 1078, 1188, 447, 9268, 1078, 30, 3717, 5494, 1078, 203, 1070, 358, 1220, 1229, 32, 31806, 3933, 1188, 3725, 1311, 3933, 203, 1070, 358, 1220, 1229, 32, 33349, 3933, 1188, 559, 3210, 1120, 3933, 30, 559, 350, 26063, 203, 1070, 358, 1220, 1229, 32, 1043, 1547, 1612, 1188, 3717, 1547, 1612, 203, 1070, 358, 1220, 1229, 32, 6421, 3579, 1188, 16332, 3579, 720, 203, 1070, 358, 1220, 1229, 32, 30909, 953, 1188, 44716, 953, 203, 1070, 4851, 3564, 1188, 4851, 3564, 30, 438, 5195, 444, 1562, 4293, 203, 1070, 9803, 6421, 1188, 9803, 6421, 2711, 30, 3185, 1151, 30, 48048, 8055, 30, 2290, 11691, 3157, 1215, 203, 1070, 358, 1220, 1229, 32, 6421, 2711, 1188, 16332, 2711, 619, 16332, 2711, 203, 1070, 15635, 1188, 41909, 203, 1070, 15635, 32, 26084, 1188, 1519, 7530, 30, 803, 7530, 203, 1070, 15635, 32, 953, 17397, 1188, 39818, 3234, 203, 1070, 931, 30624, 1188, 484, 6421, 30 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 4, 2, 2, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 1 ]	[ 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 2, 5, 5, 0, 6, 6, 1, 2, 2, 2, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 1, 2, 2, 9, 9, 0, 0, 10, 10, 1, 2, 2, 10, 10, 0, 0, 0, 10, 10, 0, 0, 10, 10, 0, 0, 10, 10, 0, 0, 11, 11, 1, 2, 11, 11, 0, 11, 11, 0, 0, 12, 12, 1, 2, 1, 4, 4, 12, 12, 0, 0, 13, 13, 1, 2, 2, 13, 13, 0, 0, 14, 14, 1, 2, 14, 14, 0, 0, 15, 15, 1, 2, 2, 15, 15, 0, 0, 0, 0, 16, 16, 0, 0, 1, 2, 16, 16, 0, 17, 17, 0, 0, 17, 17, 0, 0, 18, 18, 0, 0, 1, 2, 2, 18, 18, 0, 18, 18, 0, 0, 0, 0, 18, 18, 0, 0, 0, 18, 18, 0, 0, 0, 0, 0, 0, 19, 19, 0, 0, 1, 2, 2, 19, 19, 0, 0, 20, 20, 0, 0, 1, 2, 2, 20, 20, 0, 0, 21, 21, 0, 0, 1, 2, 2, 21, 21, 0, 0, 0, 0, 21, 21, 0, 0, 0, 22, 22, 0, 0, 1, 2, 2, 2, 22, 22, 0, 0, 0, 23, 23, 0, 0, 1, 2, 2, 23, 23, 0, 0, 24, 24, 0, 0, 1, 2, 24, 24, 0, 25, 25, 0, 0, 1, 2, 2, 25, 25, 0, 0, 0, 26, 26, 0, 0, 1, 2, 2, 26, 26, 0, 0, 27, 27, 0, 0, 1, 2, 2, 2, 27, 27, 0, 0, 0, 28, 28, 0, 0, 1, 2, 2, 2, 28, 28, 0, 0, 28, 28, 0, 0, 0, 29, 29, 0, 0, 1, 2, 2, 29, 29, 0, 0, 0, 30, 30, 0, 0, 1, 2, 2, 30, 30, 0, 0, 0, 30, 30, 0, 0, 0, 31, 31, 0, 0, 1, 2, 2, 2, 31, 31, 0, 0, 0, 32, 32, 0, 0, 1, 2, 2, 32, 32, 0, 0, 0, 33, 33, 0, 0, 1, 2, 2, 33, 33, 0, 0, 34, 34, 0, 34, 34, 0, 34, 34, 0, 0, 0, 0, 0, 35, 35, 0, 35, 35, 0, 0, 35, 35, 0, 35, 35, 0, 35, 35, 0, 0, 0, 0, 36, 36, 0, 0, 1, 2, 2, 36, 36, 0, 3, 3, 2, 0, 37, 37, 37, 37, 0, 38, 38, 1, 2, 38, 38, 0, 38, 38, 0, 0, 39, 39, 1, 2, 2, 39, 39, 0, 0, 40, 40, 0, 40, 40, 0, 40 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 1673, 2304, 1188, 16611, 203, 823, 20209, 984, 26, 984, 711, 284, 3097, 203, 589, 4450, 81, 1805, 26, 1855, 30, 1688, 81, 1515, 30, 4511, 623, 81, 2796, 1057, 2958, 370, 12809, 40547, 4365, 36, 32, 978, 370, 3973, 81, 7003, 47, 2521, 711, 284, 3642, 85, 280, 16611, 32, 1809, 81, 21823, 440, 12415, 657, 284, 415, 3642, 85, 438, 1665, 44, 291, 3636, 20209, 984, 26, 324, 313, 12415, 646, 2431, 32, 6400, 3654, 688, 561, 438, 328, 322, 1519, 7144, 284, 1688, 280, 2322, 32, 983, 32, 2524, 26, 324, 1688, 81, 1515, 30, 324, 2322, 32, 983, 32, 15705, 26, 1855, 32, 3227, 5791, 1805, 392, 12809, 2610, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 1855, 711, 291, 3636, 20209, 984, 440, 4445, 1330, 2290, 2129, 803, 44, 313, 474, 1914, 27, 284, 415, 308, 500, 32, 983, 32, 4658, 26, 2024, 27, 461, 291, 2322, 32, 983, 32, 371, 29290, 26, 1855, 27, 2511, 2322, 32, 983, 32, 371, 29290, 26, 2024, 8531, 291, 1459, 313, 6533, 3642, 904, 101, 438, 973, 31, 452, 31, 770, 3107, 904, 1688, 291, 442, 284, 1459, 313, 33193, 904, 101, 20, 904, 1688, 284, 3642, 85, 81, 2501, 280, 3642, 85, 474, 330, 429, 59, 5461, 101, 20, 769, 23, 101, 81, 541, 28664, 101, 20, 5461, 101, 14891, 904, 308, 324, 2322, 32, 983, 32, 7781, 26, 1855, 471, 623, 81, 2796, 30, 1688, 81, 1515, 30, 1914, 27, 284, 415, 3973, 81, 7003, 44, 291, 415, 2322, 32, 983, 32, 4658, 26, 2796, 81, 7003, 711, 324, 3642, 85, 81, 2501, 1454, 330, 769, 2796, 47, 12415, 31, 2518, 9299, 101, 6132, 101, 25, 904, 308, 1793, 81, 2796, 30, 34670, 3973, 81, 7003, 27, 291, 813, 44, 324, 1459, 2884, 4152, 646, 2431, 821, 6611, 101, 2473, 2688, 884, 6783, 372, 1420, 3642, 85, 313, 4511, 313, 1813, 3073, 30, 461, 19368, 561, 1098, 526, 5300, 372, 2290, 561, 328, 2819, 313, 4511, 313, 1903, 1519, 3107, 904, 3973, 81, 7003, 27, 284, 415, 2322, 32, 2946, 26, 12415, 81, 2501, 27, 863, 225, 34, 44, 291, 3636, 20209, 984, 26, 324, 313, 924, 12330, 2218, 3974, 3642, 85, 7144, 284, 813, 44, 291, 1459, 313, 6533, 1914, 7504, 3107, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 4, 4, 3, 5, 5, 2, 3, 5, 5, 5, 5, 5, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 2, 2, 3, 5, 4, 4, 3, 3, 3, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 7, 8, 6, 7, 6, 6, 6, 7, 7, 6, 6, 6, 9, 10, 8, 9, 8, 11, 10, 11, 10, 12, 12, 10, 10, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 6, 3, 3, 5, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 2, 2, 3, 9, 8, 9, 7, 8, 7, 8, 7, 5, 5, 5, 9, 10, 8, 9, 9, 8, 9, 8, 6, 6, 9, 10, 8, 9, 9, 8, 9, 8, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 2, 2, 3, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 5, 4, 4, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 10, 11, 9, 10, 9, 10, 9, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 2, 2, 3, 4, 4, 3, 3, 3, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 5, 5, 9, 9, 9, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 10, 10, 10, 11, 11, 10, 5, 5, 6, 6, 6, 9, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 11, 11, 12, 12, 10, 2, 2, 3, 6, 7, 6, 7, 7, 7, 6, 4, 4, 5, 3, 3, 3, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 4, 4, 6, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 5, 1, 2, 2, 7, 1, 1, 1, 1, 2, 2, 0, 0, 9, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 3, 1, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 4, 4, 7, 1, 1, 7, 7, 7, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 8, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 8, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 4, 4, 4, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 3878, 81, 3106, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 3995, 81, 7389, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3219, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 2677, 81, 3473, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 4156, 32, 27861, 1188, 34663, 203, 1070, 14785, 32, 2958, 32, 4156, 32, 27861, 1188, 4527, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 34182, 619, 34182, 81, 1356, 203, 823, 35853, 24443, 16635, 1006, 26, 858, 32, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 630, 1114, 20283, 280, 8082, 81, 520, 32, 8662, 2009, 38, 30, 225, 42, 30, 225, 35, 36, 30, 225, 42, 30, 225, 35, 30, 225, 37, 614, 6024, 4310, 36, 30, 225, 37, 490, 284, 630, 1114, 5919, 280, 8082, 81, 520, 32, 8662, 2009, 35, 30, 225, 43, 30, 225, 36, 30, 429, 39, 30, 429, 36, 30, 225, 40, 614, 6024, 4310, 36, 30, 225, 37, 490, 334, 665, 894, 22239, 27373, 5786, 7583, 1622, 2521, 26, 784, 711, 284, 623, 630, 32, 858, 81, 2848, 2262, 397, 623, 630, 32, 23895, 26, 22239, 711, 291, 34663, 32, 11148, 81, 21034, 26, 324, 630, 1114, 20283, 30, 630, 1114, 20283, 30, 11229, 47, 2521, 27, 334, 665, 894, 1934, 14879, 2023, 16635, 7583, 26, 784, 711, 284, 7699, 280, 34663, 32, 11148, 81, 21034, 26, 784, 1114, 20283, 30, 630, 1114, 20283, 27, 284, 623, 630, 32, 858, 81, 2848, 2262, 397, 630, 32, 47628, 26, 34, 32, 34, 30, 7699, 32, 6569, 1026, 225, 37, 27, 334, 665, 894, 3910, 8039, 16635, 26, 784, 711, 284, 7699, 280, 34663, 32, 11148, 81, 21034, 26, 784, 1114, 5919, 30, 630, 1114, 20283, 27, 284, 623, 630, 32, 858, 81, 2848, 2262, 397, 630, 32, 47628, 26, 39, 32, 39, 30, 7699, 32, 6569, 1026, 225, 37, 27, 334, 665, 894, 3910, 8039, 16635, 1554, 8312, 10651, 7583, 26, 784, 711, 284, 11229, 280, 225, 36, 32, 37, 284, 7699, 280, 34663, 32, 11148, 81, 21034, 26, 784, 1114, 5919, 30, 630, 1114, 20283, 30, 11229, 27, 284, 623, 630, 32, 858, 81, 2848, 2262, 397, 630, 32, 47628, 26, 39, 32, 39, 319, 11229, 30, 7699, 32, 6569, 1026, 225, 37, 27, 334, 665, 894, 3910, 8039, 16635, 1554, 10651, 7929, 7583, 26, 784, 711, 284, 11229, 280, 225, 36, 32, 37, 284, 7699, 280, 34663, 32, 11148, 81, 21034, 26, 784, 1114 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 9, 8, 9, 8, 10, 9, 9, 10, 9, 9, 10, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 8, 9, 11, 10, 10, 11, 10, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 11, 9, 9, 11, 9, 9, 10, 9, 8, 9, 11, 10, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 10, 10, 9, 5, 5, 7, 11, 12, 11, 12, 11, 7, 7, 11, 12, 12, 12, 11, 11, 11, 12, 13, 11, 11, 12, 13, 11, 11, 12, 13, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 9, 10, 10, 10, 9, 5, 5, 9, 10, 9, 10, 10, 10, 9, 9, 11, 12, 11, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 9, 10, 10, 10, 9, 5, 5, 9, 10, 9, 10, 10, 10, 9, 9, 11, 12, 11, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 8, 8, 4, 4, 5, 9, 10, 10, 10, 9, 5, 5, 9, 10, 9, 11, 11, 11, 10, 10, 9, 9, 11, 12, 11, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 14, 14, 1, 2, 1, 4, 1, 6, 14, 14, 0, 15, 15, 1, 2, 1, 4, 1, 6, 15, 15, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 17, 17, 1, 2, 1, 4, 17, 17, 3, 3, 2, 2, 0, 18, 18, 1, 1, 1, 2, 0, 1, 2, 2, 18, 18, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 3, 1, 2, 2, 3, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 1, 3, 1, 2, 2, 3, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 5, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 5, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 5, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1 ]
[ 465, 10776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 816, 1521, 32, 1262, 1188, 1593, 2227, 1465, 805, 30, 1593, 2227, 203, 1070, 816, 1521, 32, 9854, 1188, 18687, 203, 1070, 816, 1521, 32, 4151, 1188, 22148, 30, 14580, 203, 1070, 816, 1647, 32, 106, 81, 1647, 1188, 3849, 3791, 1438, 81, 11483, 203, 1070, 816, 1647, 32, 3625, 83, 81, 1647, 1188, 16674, 83, 2459, 203, 1070, 20717, 1188, 20642, 3103, 2281, 30, 5547, 2433, 203, 1070, 35865, 12620, 97, 32, 36287, 1188, 2908, 81, 452, 81, 800, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 996, 23239, 1188, 5170, 203, 1070, 13625, 1188, 33953, 203, 81, 280, 9254, 1344, 44, 1344, 203, 823, 7400, 2633, 26, 1473, 711, 284, 1156, 2559, 32095, 505, 280, 20642, 3103, 2281, 284, 477, 9436, 2433, 284, 665, 1202, 26, 784, 711, 291, 3636, 22210, 463, 1721, 4820, 2298, 2054, 1202, 683, 284, 477, 9436, 2433, 284, 665, 636, 26, 784, 711, 291, 3636, 22210, 463, 1721, 4820, 2298, 2054, 636, 683, 284, 477, 9436, 2433, 284, 665, 6660, 81, 2810, 26, 784, 711, 291, 3636, 22210, 463, 1721, 4820, 2298, 2054, 6660, 81, 2810, 683, 203, 823, 21878, 19773, 2633, 26, 5584, 2633, 711, 284, 477, 2433, 284, 665, 1202, 26, 784, 711, 291, 442, 330, 37892, 81, 2142, 25, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 442, 30121, 31009, 683, 284, 477, 2433, 284, 665, 6660, 81, 2810, 26, 784, 711, 291, 442, 33953, 2009, 463, 15215, 370, 330, 21321, 1425, 2726, 9979, 370, 330, 15900, 1425, 2726, 10060, 370, 330, 15016, 45325, 203, 823, 10791, 4033, 6751, 1465, 805, 26, 74, 2227, 1465, 805, 711, 284, 7511, 81, 3963, 280, 14580, 26, 4756, 11645, 440, 7870, 623, 322, 3304, 5911, 2113, 2855, 4576, 47, 5504, 32, 1286, 30, 2855, 1244, 34444, 27, 284, 3304, 81, 3963, 280, 428, 31009, 2633, 7662, 284, 665, 617, 371, 81, 13080, 81, 3142, 81, 965, 26, 784, 30, 6491, 81, 965, 711, 291, 442, 4070, 32, 14673, 81, 2413, 474, 6491, 81, 965, 284, 477, 74, 2227, 1465, 805, 32, 15966, 81, 979, 26, 635, 3791, 1438, 81, 11483, 27, 284, 665, 9525, 81, 1071, 81, 15966, 26, 784, 30, 2163, 30, 1619, 711, 16189, 415, 6937, 26, 1521, 30, 16674, 83, 2459, 711, 324, 5911, 280, 1605, 324, 436, 2604, 328, 630, 32, 7230, 81, 3963, 44, 400, 5911, 32, 1689, 1371, 528, 330, 678, 950, 2604, 32, 678, 30, 528, 330, 1311, 950, 2604, 32, 426, 30, 528, 330, 2810, 950, 2604, 32, 11327, 81, 2810, 30, 528, 330, 1700, 81, 853, 950, 630, 32, 9031, 81, 3963, 32, 371, 26, 2142, 32, 678, 30, 1665, 471, 400, 1790, 324, 10290, 280, 18687, 26, 3169, 81, 452, 81, 800, 463, 25120, 81, 3963, 81, 1521, 32, 916, 370, 5053, 3963, 950, 5911, 18364, 324, 10290, 32, 669, 81, 4259, 81, 965, 26, 784, 1114, 371, 81, 13080, 81, 3142, 81, 965, 3247, 754, 33, 106, 1521, 81, 302, 12804, 33, 25120, 81, 3963, 32, 754, 2847, 324, 10290, 32, 8788, 81, 754, 463, 30757, 6751, 3573, 683, 324 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 2, 2, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 2, 2, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 10, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 10, 12, 12, 10, 12, 12, 9, 12, 12, 10, 12, 12, 9, 12, 12, 10, 12, 12, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 8, 7, 9, 11, 11, 11, 11, 11, 11, 6, 6, 7, 9, 8, 9, 6, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 7, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 8, 9, 8, 8, 9, 9, 8, 6, 6, 9, 9, 7, 7, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 12, 13, 12, 13, 13, 16, 16, 14, 15, 16, 13, 13, 13, 16, 16, 14, 15, 16, 13, 13, 13, 16, 16, 14, 15, 16, 16, 16, 13, 13, 13, 16, 16, 16, 16, 14, 17, 18, 18, 18, 16, 17, 16, 18, 17, 18, 16, 16, 16, 13, 13, 7, 7, 9, 9, 11, 13, 13, 13, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 13, 17, 17, 15, 14, 7, 7, 10, 11, 11, 11, 11, 11, 10, 13, 12, 13, 13, 13, 13, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 7, 7, 10, 11, 11, 11, 10, 12, 12, 12, 12, 7 ]	[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 0, 8, 8, 0, 9, 9, 9, 9, 0, 0, 0, 0, 2, 2, 2, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 1, 1, 2, 12, 12, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 5, 1, 2, 0, 13, 13, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 13, 13, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 2, 2, 1, 1, 1, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 7, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 3, 3, 3, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 3 ]
[ 465, 20717, 203, 1270, 44, 10065, 645, 13625, 1188, 20393, 4806, 619, 14580, 13976, 203, 7343, 29986, 44, 10065, 645, 2680, 7167, 1188, 14580, 13976, 203, 465, 11685, 203, 465, 18792, 203, 465, 30902, 203, 1070, 30902, 32, 3968, 1188, 34055, 953, 9012, 203, 1070, 30902, 32, 3968, 1188, 21371, 9012, 203, 1070, 22646, 32, 11452, 1188, 319, 203, 1070, 22646, 32, 2342, 470, 1188, 4428, 51, 81, 34, 41, 30, 4428, 51, 81, 34, 42, 203, 1070, 22646, 32, 2342, 470, 1188, 4527, 203, 1070, 22646, 32, 2342, 470, 32, 23394, 32, 18498, 1188, 308, 371, 81, 3483, 81, 18498, 30, 2270, 1420, 81, 6270, 81, 18498, 27, 203, 505, 464, 505, 280, 428, 284, 330, 1297, 81, 2592, 370, 284, 330, 3798, 81, 2592, 370, 284, 330, 17777, 81, 2592, 370, 284, 330, 13141, 81, 1274, 370, 284, 330, 13141, 81, 1055, 370, 284, 330, 1791, 470, 1599, 370, 284, 330, 1791, 470, 2137, 370, 284, 330, 1791, 470, 1284, 370, 284, 330, 1791, 27380, 11153, 370, 284, 330, 2137, 9189, 370, 203, 79, 203, 589, 1487, 81, 2592, 26, 2592, 30, 1858, 47, 2521, 30, 319, 98, 30, 1115, 4124, 711, 284, 415, 1858, 438, 646, 1665, 44, 291, 442, 1858, 32, 1297, 81, 2592, 26, 2592, 30, 319, 98, 30, 1115, 4124, 27, 284, 442, 2623, 32, 1297, 2740, 98, 30, 1115, 4124, 27, 203, 589, 6278, 81, 2592, 26, 2592, 30, 1858, 47, 2521, 30, 319, 98, 30, 1115, 4124, 711, 284, 415, 1858, 438, 646, 1665, 44, 291, 442, 1858, 32, 3798, 81, 2592, 26, 2592, 30, 319, 98, 30, 1115, 4124, 27, 284, 442, 2623, 32, 3798, 2740, 98, 30, 1115, 4124, 27, 203, 589, 16144, 81, 1274, 26, 1274, 30, 636, 30, 6863, 47, 2521, 30, 1115, 4124, 711, 284, 1858, 280, 617, 452, 81, 1274, 26, 1274, 30, 6863, 27, 284, 1858, 32, 13141, 26, 426, 30, 1115, 4124, 27, 203, 589, 16144, 81, 1055, 26, 1055, 30, 636, 30, 1858, 47, 2521, 30, 6863, 47, 2521, 30, 1115, 4124, 711, 284, 1650, 280, 617, 452, 81, 1055, 26, 1055, 30, 1858, 30, 6863, 27, 284, 1650, 32, 13141, 26, 426, 30, 1115, 4124, 27, 203, 589, 13930, 81, 2592, 2740, 98, 30, 1115, 93, 711, 284, 415, 330, 1274, 25, 646, 328, 831, 461, 6937, 26, 98, 77, 34, 614, 30902, 32, 2137, 711, 291, 831, 710, 1274, 785, 280, 298, 77, 34, 997, 1274, 284, 415, 330, 3483, 25, 646, 328, 831, 44, 291, 831, 710, 3483, 785, 280, 831, 710, 1274, 5695, 2539, 284, 415, 2069, 26, 98, 27, 2377, 225, 36, 461, 6937, 26, 98, 77, 35, 614, 30902, 32, 2137, 711, 291, 11685, 32, 8447, 26, 324, 313, 6129, 299, 312, 7723, 1300, 372, 13930, 81, 2592, 438, 12687, 3107, 324, 313, 9077, 3097, 328, 11659, 3377, 4174, 4414, 324, 41665, 685, 22359, 5711, 324, 829, 284, 6863, 280, 831, 710, 3483, 785, 284, 831, 710, 17777, 81, 4519, 20950, 1815, 284, 7715, 280, 7723, 9189, 2740, 98, 30, 1115, 93, 27, 284, 16957, 27325, 280, 622, 81 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 6, 4, 4, 5, 1, 2, 2, 2, 2, 2, 4, 6, 4, 4, 6, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 5, 6, 5, 7, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 5, 6, 5, 7, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 7, 6, 6, 6, 2, 2, 5, 6, 5, 6, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 2, 2, 5, 6, 5, 6, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 7, 7, 5, 5, 5, 4, 4, 6, 8, 7, 8, 7, 6, 7, 8, 6, 3, 3, 7, 9, 9, 6, 6, 8, 9, 8, 8, 2, 2, 3, 6, 6, 4, 4, 4, 3, 3, 3, 7, 9, 9, 6, 6, 8, 10, 10, 8, 2, 2, 3, 7, 8, 7, 5, 5, 6, 4, 4, 6, 8, 7, 8, 7, 6, 7, 8, 6, 3, 3, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 8, 8, 7, 7, 2, 2, 4, 4, 5, 7, 7, 2, 2, 5, 7, 7, 7, 7, 5, 2, 2, 4, 4, 6, 6, 8, 6, 6, 8, 6, 2, 2, 5, 4, 4, 6 ]	[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 2, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 2, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 2, 9, 9, 0, 10, 10, 1, 2, 2, 1, 4, 1, 6, 10, 10, 0, 0, 0, 0, 0, 10, 10, 10, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 12, 12, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 1, 2, 12, 12, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 1, 2, 13, 13, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 14, 14, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 1, 2, 14, 14, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 15, 15, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 1, 2, 15, 15, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 16, 16, 1, 1, 2, 1, 2, 2, 1, 2, 16, 16, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 4, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 4, 4, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0 ]
[ 465, 1133, 203, 8239, 280, 301, 284, 330, 16003, 950, 9254, 816, 44, 1133, 32, 20834, 15339, 86, 9708, 95, 9708, 75, 370, 1133, 32, 1696, 1003, 4251, 5460, 463, 23423, 35, 683, 203, 111, 203, 589, 1459, 81, 3359, 85, 26, 3359, 85, 30, 1638, 711, 284, 415, 2771, 85, 328, 4442, 44, 291, 442, 4442, 77, 3359, 85, 729, 626, 27, 284, 442, 4247, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 9, 11, 12, 12, 11, 8, 7, 9, 9, 9, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 5, 4, 4, 3, 3, 3, 5, 7, 8, 8, 7, 8, 7, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 30, 2322, 32, 983, 30, 5237, 203, 465, 29590, 30, 19571, 30, 622, 2215, 203, 465, 316, 203, 325, 5237, 32, 6949, 1648, 333, 225, 34, 106, 34, 36, 34, 37, 34, 34, 34, 34, 44, 664, 5237, 32, 8228, 32, 1821, 440, 21542, 31, 452, 31, 2912, 32, 978, 44, 7171, 4865, 225, 36, 32, 37, 556, 6125, 5327, 96, 657, 664, 5237, 32, 4775, 26, 35, 27, 203, 21542, 5232, 280, 2149, 203, 21542, 4915, 280, 2149, 203, 21542, 19277, 280, 2149, 203, 21542, 6586, 280, 2149, 203, 21542, 890, 85, 2021, 280, 225, 34, 203, 589, 6886, 2262, 291, 1459, 1524, 78, 203, 23, 101, 44, 428, 15979, 79, 333, 21542, 44041, 48, 203, 2184, 44, 284, 429, 101, 30, 769, 2912, 1293, 47, 3539, 44, 636, 432, 322, 1603, 372, 526, 7511, 33, 850, 656, 436, 11885, 3528, 284, 429, 96, 30, 769, 96, 268, 2423, 47, 1844, 44, 261, 1451, 432, 1539, 2021, 688, 1098, 6595, 656, 312, 316, 2423, 308, 1536, 47, 34, 30, 429, 35, 372, 43292, 27, 284, 429, 104, 30, 769, 10529, 44, 958, 526, 9541, 203, 3648, 44, 284, 420, 89, 44041, 44, 225, 636, 432, 322, 677, 57, 2074, 372, 1188, 308, 5660, 27, 203, 2993, 904, 5237, 32, 6118, 77, 34, 79, 203, 589, 622, 2912, 2121, 26, 496, 30, 2340, 711, 284, 4533, 280, 4247, 284, 40350, 280, 316, 32, 6993, 463, 29548, 49, 5421, 101, 29, 21484, 3424, 11060, 1814, 2872, 26, 496, 27, 284, 415, 40350, 44, 291, 4533, 1454, 330, 1358, 40893, 81, 37381, 81, 2474, 28664, 101, 20, 2082, 25, 904, 40350, 32, 1363, 26, 35, 27, 291, 4533, 1454, 330, 1358, 40893, 81, 24556, 2916, 81, 2474, 28664, 101, 20, 2082, 25, 904, 40350, 32, 1363, 26, 35, 27, 291, 4533, 1454, 330, 1358, 40893, 81, 37381, 81, 17945, 28664, 101, 20, 2082, 25, 904, 40350, 32, 1363, 26, 36, 27, 291, 4533, 1454, 330, 1358, 40893, 81, 24556, 2916, 81, 17945, 28664, 101, 20, 2082, 25, 904, 40350, 32, 1363, 26, 36, 27, 284, 813, 44, 291, 4533, 1454, 330, 1358, 40893, 81, 37381, 81, 2474, 28664, 101, 20, 2082, 25, 904, 1256, 291, 4533, 1454, 330, 1358, 40893, 81, 24556, 2916, 81, 2474, 28664, 101, 20, 2082, 25, 904, 1256, 291, 4533, 1454, 330, 1358, 40893, 81, 37381, 81, 17945, 47, 2082, 25, 291, 4533, 1454, 330, 1358, 40893, 81, 24556, 2916, 81, 17945, 47, 2082, 25, 284, 4533, 1454, 330, 1358, 40893, 81, 37381, 81, 5241, 28664, 101, 20, 2082, 25, 904, 2340, 284, 4533, 1454, 330, 1358, 40893, 81, 24556, 2916, 81, 5241, 28664, 101, 20, 2082, 25, 904, 2340, 284, 442, 4533, 203, 1293, 280, 4247, 203, 2215, 81, 96, 268, 2423, 280, 225, 34, 203, 10529, 280, 3177, 203, 1270, 44, 284, 6410, 30, 2181, 280, 622, 2215, 32, 30226, 26, 3731, 32, 6118, 77, 35, 23751, 330, 101, 44, 102, 44, 96, 44, 104, 370, 2107, 2912, 1293, 12483, 330, 1433, 1515, 12483, 330, 96, 268, 2423, 12483, 330, 10529, 3490, 284, 436, 337, 30 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 2, 2, 5, 6, 5, 6, 5, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 1, 1, 3, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 7, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 6, 7, 6, 2, 2, 3, 3, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 10, 9, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 10, 9, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 10, 9, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 10, 9, 3, 3, 4, 4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 5, 5, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 3, 0, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 0, 1, 1, 1, 1, 5, 5, 4, 4, 7, 6, 7, 6, 9, 8, 9, 7, 9, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 2, 2, 3, 4 ]	[ 0, 0, 0, 0, 3, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 9, 9, 2, 9, 9, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 2, 2, 2, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 465, 2322, 203, 465, 29590, 203, 6896, 347, 1010, 23, 56, 3698, 31, 35, 32, 36, 203, 16822, 5956, 36, 78, 5956, 37, 78, 106, 4929, 78, 9576, 37, 203, 35, 225, 34, 2830, 203, 3571, 203, 33, 56, 3698, 203, 3571, 203, 33, 4140, 428, 203, 2993, 203, 19406, 347, 1010, 79, 203, 2005, 203, 2005, 203, 416, 2067, 203, 359, 23335, 203, 3571, 203, 33, 4058, 225, 35, 225, 34, 559, 203, 2005, 203, 1784, 9471, 203, 2993, 203, 589, 1688, 81, 1495, 26, 88, 711, 284, 442, 2706, 7689, 78, 3126, 20, 474, 34873, 2524, 26, 428, 2706, 106, 34, 34, 5115, 85, 436, 281, 328, 296, 1481, 829, 203, 589, 6571, 81, 3494, 26, 4446, 711, 284, 5036, 280, 1605, 284, 436, 1628, 328, 5430, 44, 291, 415, 1628, 32, 15990, 3247, 72, 7831, 324, 3097, 4456, 4348, 1628, 32, 15990, 3247, 70, 7831, 324, 1202, 280, 1628, 77, 41, 5979, 36, 79, 324, 1202, 280, 35617, 2524, 26, 678, 32, 2998, 9442, 106, 34, 34, 2847, 324, 5036, 32, 1689, 26, 1202, 829, 284, 442, 5036, 203, 589, 2866, 81, 1495, 26, 541, 30, 1202, 30, 786, 711, 284, 963, 32, 1821, 440, 3571, 78, 96, 657, 284, 415, 786, 44, 291, 963, 32, 1821, 4207, 72, 10027, 101, 5421, 96, 20, 904, 853, 27, 284, 813, 44, 291, 963, 32, 1821, 4207, 72, 18593, 96, 657, 284, 963, 32, 1821, 4207, 70, 10027, 101, 5421, 96, 20, 904, 1688, 81, 1495, 26, 678, 27, 829, 284, 963, 32, 1821, 30554, 48, 766, 96, 657, 203, 589, 2866, 81, 4151, 26, 541, 30, 3829, 711, 284, 963, 32, 1821, 26, 6896, 27, 284, 436, 1202, 328, 3829, 44, 291, 786, 280, 3829, 77, 678, 79, 291, 2866, 81, 1495, 26, 541, 30, 1202, 30, 786, 27, 284, 963, 32, 1821, 26, 19406, 27, 203, 589, 6571, 81, 3494, 81, 1070, 81, 4682, 26, 3607, 711, 284, 3691, 81, 761, 280, 29590, 32, 4765, 270, 957, 5791, 23903, 16050, 35, 79, 284, 1596, 44, 291, 2322, 32, 2946, 463, 7111, 708, 93, 904, 101, 4450, 81, 23903, 1688, 25937, 101, 1492, 25, 904, 308, 3607, 30, 3691, 81, 761, 490, 291, 623, 2156, 26, 2868, 81, 761, 30, 313, 100, 657, 619, 432, 414, 44, 324, 5430, 280, 432, 414, 32, 33232, 346, 284, 8295, 44, 291, 1596, 44, 324, 2322, 32, 2546, 26, 2868, 81, 761, 27, 291, 2940, 3268, 44, 324, 3097, 3701, 442, 6571, 81, 3494, 26, 4446, 27, 203, 589, 5318, 81, 4682, 26, 35380, 30, 28388, 30, 3829, 711, 284, 3691, 81, 761, 280, 29590, 32, 4765, 270, 957, 5791, 23903, 16050, 35, 79, 284, 1596, 44, 291, 623, 2156, 26, 2868, 81, 761, 30, 313, 105, 657, 619, 432, 414, 44, 324, 2866, 81, 4151, 26, 97, 761, 30, 3829, 27, 291, 2322, 32, 2946, 463, 7111, 708, 93, 904, 101, 5318, 81, 599, 25937, 101, 1492, 1688, 904, 101, 21096, 25, 904, 308, 35380, 30, 3691, 81, 761, 30, 28388, 490, 284 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 7, 7, 7, 6, 4, 4, 7, 6, 6, 7, 11, 11, 11, 10, 9, 7, 8, 8, 8, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 9, 9, 5, 5, 5, 5, 6, 8, 9, 8, 10, 10, 6, 6, 9, 9, 10, 12, 11, 13, 10, 7, 7, 9, 9, 12, 11, 14, 13, 14, 13, 16, 16, 16, 15, 7, 7, 10, 11, 10, 10, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 6, 5, 7, 8, 8, 7, 2, 2, 3, 3, 3, 3, 7, 8, 7, 10, 10, 10, 10, 11, 10, 8, 9, 7, 3, 3, 4, 4, 4, 8, 9, 8, 10, 10, 11, 10, 2, 2, 5, 6, 5, 8, 8, 8, 8, 9, 8, 6, 6, 8, 8, 8, 9, 8, 5, 2, 2, 5, 6, 5, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 6, 5, 6, 5, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 7, 8, 7, 4, 4, 7, 7, 7, 8, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 8, 8, 7, 9, 9, 6, 5, 2, 2, 3, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 8, 8, 10, 9, 9, 10, 10, 9, 4, 4, 5, 10, 11, 11, 11, 10, 10, 12, 12, 8, 8, 10, 5, 5, 5, 8, 8, 11, 10, 11, 10, 3, 3, 4, 4, 4, 6, 6, 6, 10, 11, 10, 11, 11, 11, 10, 6, 6, 7, 7, 7, 7, 2, 2, 3, 5, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 7, 8, 8, 8, 7, 9, 9, 6, 5, 2, 2, 3, 3, 3, 5, 10, 11, 11, 11, 10, 10, 12, 12, 8, 8, 10, 5, 5, 5, 9, 9, 9, 10, 10, 9, 9, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 10, 10, 9, 9, 9, 3 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 4, 0, 2, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 2, 3, 3, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 2, 0, 7, 7, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 2, 1, 1, 0, 0, 2, 4, 4, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 2, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 4, 4, 2, 0, 0, 1, 1, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 1 ]
[ 1070, 19271, 1146, 1188, 319, 203, 823, 7422, 3728, 1761, 44, 284, 1780, 280, 313, 3192, 13695, 20, 284, 4269, 280, 313, 3192, 20, 284, 1849, 4071, 1640, 280, 225, 35, 284, 665, 1156, 1664, 3207, 784, 30, 3051, 30, 6863, 711, 291, 630, 32, 2388, 280, 3051, 291, 630, 32, 3483, 280, 6863, 291, 630, 32, 1393, 280, 1665, 284, 665, 2156, 26, 784, 30, 1344, 30, 3233, 16096, 47, 2521, 711, 291, 630, 32, 878, 280, 1344, 291, 415, 646, 630, 32, 1393, 44, 324, 630, 32, 1297, 81, 12035, 346, 291, 813, 44, 324, 630, 32, 1393, 32, 286, 1566, 1147, 346, 324, 630, 32, 1393, 32, 4692, 13225, 346, 291, 415, 3233, 16096, 44, 324, 630, 32, 304, 32, 2560, 26, 34, 2360, 416, 657, 324, 630, 32, 304, 32, 3215, 440, 416, 392, 1903, 16096, 27, 291, 630, 32, 304, 32, 7745, 81, 470, 346, 291, 630, 32, 304, 32, 8319, 81, 3585, 26, 34, 30, 313, 416, 657, 291, 630, 32, 304, 32, 295, 305, 2960, 26, 34, 27, 291, 630, 32, 1393, 32, 28595, 81, 470, 346, 284, 665, 4230, 26, 784, 30, 1692, 47, 2521, 711, 291, 415, 630, 32, 1393, 44, 324, 630, 32, 1393, 32, 28595, 81, 3779, 346, 324, 630, 32, 1393, 32, 29970, 346, 284, 665, 1487, 81, 12035, 26, 784, 711, 291, 2663, 280, 9041, 2649, 26, 784, 32, 2388, 27, 291, 2663, 32, 2539, 10374, 2891, 9601, 630, 32, 1536, 81, 2501, 27, 291, 2663, 32, 2539, 10374, 19033, 9601, 630, 32, 2679, 27, 291, 2663, 32, 5721, 440, 9050, 81, 6691, 81, 18362, 392, 630, 32, 2679, 27, 291, 2663, 32, 13851, 81, 1311, 26, 784, 32, 1311, 27, 291, 2663, 32, 13851, 81, 1566, 426, 26, 784, 32, 1566, 27, 291, 630, 32, 1393, 280, 2663, 291, 630, 32, 643, 280, 225, 34, 291, 630, 32, 1393, 32, 3365, 81, 2592, 7799, 26, 34, 30, 9789, 47, 36, 30, 7533, 47, 34, 27, 291, 630, 32, 1393, 32, 3365, 81, 2592, 7799, 26, 35, 30, 9789, 47, 36, 30, 1847, 891, 47, 35, 34, 34, 30, 7533, 47, 35, 34, 34, 27, 291, 630, 32, 1297, 81, 9150, 346, 291, 630, 32, 1297, 81, 1762, 81, 11430, 346, 291, 630, 32, 1297, 81, 2455, 81, 11430, 346, 291, 442, 630, 32, 1297, 81, 2501, 81, 11430, 346, 284, 665, 1930, 81, 3038, 26, 784, 30, 2266, 30, 773, 711, 291, 456, 280, 9286, 26, 784, 32, 1393, 30, 1344, 47, 1172, 27, 291, 456, 32, 3365, 26, 643, 47, 784, 32, 643, 30, 2623, 47, 34, 30, 31847, 347, 19591, 657, 291, 484, 280, 13925, 26, 784, 32, 1393, 30, 1344, 4502, 47, 869, 30, 4166, 8319, 47, 34, 27, 291, 484, 32, 3365, 26, 643, 47, 784, 32, 643, 30, 2623, 47, 35, 30, 31847, 347, 96, 1376, 657, 291, 630, 32, 643, 280, 630, 32, 643, 474, 225, 35, 291, 442, 484, 284, 665, 1930, 81, 1744, 26, 784, 30, 1172, 878, 47, 2521, 711, 291, 415, 2266, 878, 44, 324, 456, 280, 9286 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 6, 7, 8, 5, 5, 5, 9, 10, 10, 10, 9, 5, 5, 6, 6, 6, 11, 12, 10, 11, 11, 11, 10, 7, 7, 11, 12, 10, 11, 11, 10, 4, 4, 5, 6, 5, 5, 5, 10, 11, 9, 10, 9, 10, 9, 11, 11, 6, 6, 10, 11, 9, 10, 9, 11, 11, 10, 10, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 6, 6, 10, 11, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 9, 7, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 10, 9, 10, 7, 7, 8, 9, 7, 7, 8, 10, 10, 4, 4, 6, 6, 8, 10, 9, 10, 8, 8, 10, 9, 10, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 10, 9, 10, 7, 7, 8, 9, 7, 7, 8, 10, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 7, 7, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 8, 8 ]	[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3, 3, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 4, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 4, 4, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 1, 1, 2, 3, 3, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 3, 3, 5, 2, 1, 2, 2, 3, 2, 2, 5, 5, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 3, 3, 0, 2, 0, 2, 1, 3, 3, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 0, 5, 2, 2, 2, 1, 1, 7, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 13, 0, 2, 2, 2, 2, 2, 1, 3, 3, 7, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 2, 1, 1, 5, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 4, 4, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 5, 3, 3, 8, 1, 1, 2, 1, 2, 0, 0, 3, 2, 2, 8, 8, 0, 1, 0, 0, 0, 0, 0 ]
[ 1070, 1672, 32511, 1188, 319, 203, 1070, 18686, 32, 7391, 32, 13095, 81, 407, 1188, 2022, 81, 5185, 36, 203, 1070, 18686, 32, 7391, 32, 13095, 81, 407, 1188, 296, 2323, 279, 764, 81, 5185, 36, 203, 589, 296, 2323, 279, 764, 81, 1231, 26, 17946, 5503, 12222, 30, 647, 284, 559, 635, 30, 351, 284, 15247, 2591, 30, 958, 284, 15247, 12733, 30, 958, 284, 358, 1305, 55, 30, 958, 284, 506, 1724, 30, 351, 284, 506, 1680, 30, 351, 284, 506, 4135, 30, 351, 284, 8897, 68, 30, 958, 284, 22968, 51, 30, 647, 284, 22968, 52, 30, 647, 284, 22968, 53, 30, 647, 284, 22968, 54, 30, 647, 284, 18102, 70, 3285, 30, 17946, 17842, 69, 351, 284, 8063, 284, 9766, 30, 4534, 30, 5185, 36, 81, 4891, 30, 1306, 81, 4891, 280, 2022, 81, 5185, 36, 32, 371, 81, 11201, 346, 284, 9766, 280, 5503, 12222, 284, 5657, 280, 559, 635, 284, 20670, 36, 81, 4891, 32, 605, 81, 91, 280, 506, 1724, 284, 20670, 36, 81, 4891, 32, 605, 81, 97, 280, 506, 1680, 284, 20670, 36, 81, 4891, 32, 605, 81, 102, 280, 506, 4135, 284, 20670, 36, 81, 4891, 32, 9294, 605, 280, 22968, 53, 284, 20670, 36, 81, 4891, 32, 9294, 5978, 280, 22968, 52, 284, 20670, 36, 81, 4891, 32, 1821, 280, 15247, 2591, 284, 20670, 36, 81, 4891, 32, 850, 280, 15247, 12733, 284, 20670, 36, 81, 4891, 32, 17387, 416, 280, 18102, 70, 3285, 284, 485, 81, 88, 374, 280, 296, 2323, 279, 764, 81, 5185, 36, 26, 9100, 30, 5657, 30, 20670, 36, 81, 4891, 30, 2022, 81, 4891, 27, 284, 456, 1582, 280, 19555, 26, 410, 18928, 26, 34, 5594, 42, 19572, 284, 296, 36, 90, 2303, 81, 266, 280, 2022, 81, 4891, 32, 1327, 81, 91, 284, 420, 36, 88, 10593, 81, 266, 280, 2022, 81, 4891, 32, 2584, 81, 91, 284, 420, 36, 88, 2303, 81, 541, 280, 2022, 81, 4891, 32, 1327, 81, 97, 284, 17833, 6762, 81, 541, 280, 2022, 81, 4891, 32, 6622, 81, 3225, 284, 296, 36, 90, 750, 81, 266, 280, 2022, 81, 4891, 32, 605, 81, 91, 284, 420, 36, 88, 750, 81, 541, 280, 2022, 81, 4891, 32, 605, 81, 97, 284, 296, 325, 2475, 94, 280, 20670, 36, 81, 4891, 32, 42861, 2475, 94, 284, 477, 12149, 81, 30767, 284, 665, 420, 3657, 81, 5157, 101, 2262, 291, 8897, 68, 32, 1978, 77, 34, 79, 280, 3177, 291, 8897, 68, 32, 1978, 77, 35, 79, 280, 296, 325, 2475, 94, 291, 358, 1305, 55, 32, 1978, 280, 15247, 12733, 291, 296, 36, 90, 2303, 81, 266, 32, 1978, 280, 2933, 291, 420, 36, 88, 10593, 81, 266, 32, 1978, 280, 2933, 291, 17842, 69, 32, 1978, 280, 456, 1582, 291, 415, 17833, 6762, 81, 541, 610, 225, 34, 44, 324, 296, 36, 90, 750, 81, 266, 32, 1978, 280, 225, 34, 106, 1955, 4456, 4348, 17833, 6762, 81, 541, 610, 225, 35, 44, 324, 296, 36, 90, 750, 81, 266, 32, 1978, 280, 456, 1582, 291, 813, 44, 324 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 6, 5, 6, 6, 6, 6, 5, 6, 6, 6, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 5, 2, 2, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 4, 4, 5, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 5, 4, 4, 6, 9, 9, 9, 10, 9, 9, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 10, 9, 10, 8, 9, 8, 7, 7, 5, 5, 10, 9, 10, 8, 9, 8, 7, 7, 8, 8, 8, 5, 5, 9, 9, 8, 9, 7, 7, 8, 5, 5, 9, 9, 9, 9, 9, 8, 9, 7, 7, 5, 5, 9, 9, 9, 9, 9, 8, 9, 7, 7, 5, 5, 9, 8, 9, 7, 7, 8, 5, 5, 6, 8, 8, 8, 7, 7, 8, 6, 6, 6, 11, 11, 11, 11, 11, 10, 11, 9, 9, 10, 10, 10, 6, 6, 7, 9, 9, 9, 8, 8, 9, 7, 7, 7, 12, 12, 12, 12, 12, 11, 12, 10, 10, 11, 6, 6, 7, 7 ]	[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 7, 2, 2, 2, 2, 9, 9, 2, 2, 2, 2, 11, 2, 2, 2, 2, 13, 2, 2, 2, 2, 15, 2, 2, 2, 2, 17, 2, 2, 2, 2, 19, 2, 2, 2, 2, 21, 2, 2, 2, 2, 23, 2, 2, 2, 2, 25, 2, 2, 2, 2, 27, 27, 2, 2, 2, 29, 2, 2, 2, 3, 3, 0, 2, 0, 4, 4, 4, 4, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 5, 1, 1, 7, 7, 1, 4, 4, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 20, 20, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 4, 4, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 2, 4, 4, 6, 0, 0, 0, 1, 1, 2, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 6, 6, 4, 0, 0, 0, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 6, 6, 5, 5 ]
[ 465, 1360, 203, 465, 316, 203, 465, 5741, 203, 589, 2454, 81, 1647, 26, 1803, 81, 426, 30, 1519, 30, 3408, 47, 2521, 30, 20217, 47, 2521, 711, 284, 1980, 280, 1665, 284, 1596, 44, 291, 803, 30, 1519, 30, 42004, 280, 1360, 32, 1809, 81, 1647, 26, 1803, 81, 426, 30, 428, 983, 1130, 291, 415, 803, 44, 324, 2047, 280, 1360, 32, 944, 81, 1647, 26, 1803, 81, 426, 30, 803, 30, 1519, 30, 42004, 27, 324, 415, 3408, 461, 20217, 44, 400, 1980, 280, 18623, 26, 1803, 30, 2047, 32, 7420, 81, 2474, 2502, 2035, 30, 20217, 27, 324, 813, 44, 400, 1980, 280, 18623, 26, 1803, 30, 2047, 32, 7420, 81, 2474, 45895, 284, 2940, 29986, 619, 13489, 44, 291, 5741, 32, 731, 463, 2023, 3751, 3973, 499, 904, 101, 370, 2047, 81, 426, 27, 291, 5741, 32, 3893, 26, 14806, 27, 284, 8295, 44, 291, 442, 1980, 203, 589, 14949, 81, 7001, 81, 4526, 26, 2035, 30, 952, 30, 3882, 30, 4774, 30, 319, 1132, 711, 284, 1596, 44, 291, 1188, 4356, 26343, 291, 2043, 280, 4356, 26343, 32, 19466, 1486, 346, 291, 2043, 32, 470, 81, 9785, 81, 2035, 81, 678, 81, 6038, 26, 753, 26343, 32, 4741, 1103, 4248, 1157, 291, 2043, 32, 3517, 26, 2035, 30, 952, 47, 699, 30, 3882, 47, 2895, 27, 291, 24621, 30, 12532, 30, 16154, 280, 2043, 32, 2493, 81, 2501, 26, 3515, 27, 291, 442, 12532, 32, 33232, 346, 284, 2940, 29986, 619, 13489, 44, 291, 5741, 32, 731, 9670, 90, 3210, 21533, 1674, 2304, 1674, 9404, 81, 7001, 81, 4526, 79, 3803, 372, 20, 2855, 313, 944, 2297, 330, 753, 26343, 370, 2800, 1206, 2307, 15981, 291, 5741, 32, 3893, 26, 14806, 27, 291, 442, 1665, 284, 2940, 3268, 619, 13489, 44, 291, 5741, 32, 731, 9670, 90, 3210, 21533, 1674, 2304, 1674, 9404, 81, 7001, 81, 4526, 79, 3803, 44, 904, 101, 392, 2855, 4774, 27, 291, 5741, 32, 3893, 26, 14806, 27, 291, 442, 1665, 284, 8295, 44, 291, 2043, 32, 2679, 346, 203, 589, 2080, 81, 639, 81, 1643, 26, 639, 81, 2468, 711, 284, 415, 646, 316, 32, 2872, 26, 100, 28249, 1162, 2009, 34, 31, 36, 79, 21194, 86, 109, 34, 30, 36, 4104, 32, 1511, 37, 111, 2009, 34, 31, 36, 79, 21194, 86, 109, 34, 30, 36, 18364, 25, 528, 36196, 1162, 13644, 1804, 31, 41961, 31, 56, 8274, 35, 30, 38, 10696, 1511, 41, 111, 40817, 1804, 31, 41961, 31, 56, 8274, 35, 30, 38, 111, 2610, 37143, 528, 4749, 81, 2468, 711, 291, 442, 3177, 284, 442, 2933, 203, 9036, 81, 4530, 69, 280, 5053, 104, 35, 950, 225, 35, 30, 353, 330, 104, 36, 85, 950, 225, 36, 30, 353, 330, 104, 37, 950, 225, 37, 111, 203, 589, 7777, 317, 81, 11905, 26, 2035, 30, 20217, 30, 319, 1132, 711, 284, 1596, 44, 291, 1188, 3706, 30231, 284, 2940, 29986, 44, 291, 5741, 32, 731, 440, 2459, 330, 1299, 30231, 25, 745, 646, 2307, 19, 5294, 2443, 561, 1932, 657, 291, 442, 1665, 284, 415, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 10, 9, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 13, 14, 13, 13, 14, 15, 15, 15, 13, 13, 12, 12, 12, 7, 7, 8, 8, 8, 11, 11, 14, 15, 14, 14, 15, 16, 16, 16, 14, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 5, 5, 8, 9, 8, 9, 8, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 3, 3, 3, 5, 7, 4, 4, 6, 6, 9, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 10, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 5, 7, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 8, 9, 8, 5, 5, 6, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 5, 5, 8, 9, 8, 9, 8, 5, 5, 6, 3, 3, 4, 4, 4, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 7, 6, 3, 3, 5, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 4, 5, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 2, 1, 1, 3, 3, 3, 5, 7, 3, 3, 4, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 2, 2, 3 ]	[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 5, 0, 2, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 2, 0, 0, 4, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 2, 0, 0, 5, 5, 5, 0, 2, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 2, 5, 2, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 1 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 30, 3829, 203, 823, 4054, 81, 2387, 26, 500, 104, 32, 1243, 711, 284, 617, 6815, 280, 330, 2445, 32, 2387, 25, 284, 617, 6057, 280, 301, 291, 330, 12787, 81, 14554, 950, 3829, 32, 4398, 463, 8589, 328, 322, 9575, 370, 1933, 47, 2700, 471, 284, 320, 284, 617, 10514, 280, 301, 291, 330, 12787, 81, 14554, 950, 3177, 30, 284, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 8, 9, 10, 8, 5, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 5, 5, 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 ]	[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 823, 7578, 3782, 15756, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 1503, 280, 330, 35, 32, 34, 7831, 284, 630, 32, 695, 280, 2149, 284, 630, 32, 695, 710, 1216, 785, 280, 2149, 284, 630, 32, 695, 710, 1648, 785, 280, 1503, 334, 665, 2222, 1514, 2828, 26, 784, 30, 1963, 81, 681, 711, 284, 630, 32, 695, 710, 1216, 4902, 1489, 785, 280, 5053, 681, 950, 1963, 81, 681, 111, 334, 665, 2222, 19691, 732, 2828, 26, 784, 30, 1929, 81, 27382, 711, 284, 630, 32, 695, 710, 1216, 4902, 27382, 785, 280, 5053, 27382, 950, 1929, 81, 27382, 111, 334, 665, 2222, 30321, 1909, 2828, 26, 784, 30, 21014, 1909, 81, 681, 711, 284, 630, 32, 695, 710, 1216, 4902, 12130, 1909, 785, 280, 5053, 681, 950, 21014, 1909, 81, 681, 111, 334, 665, 2222, 1969, 13980, 2828, 26, 784, 30, 14103, 81, 681, 711, 284, 630, 32, 695, 710, 1216, 4902, 1637, 81, 16536, 785, 280, 5053, 681, 950, 14103, 81, 681, 111, 334, 665, 2222, 54, 1295, 2828, 26, 784, 30, 14773, 81, 16528, 30, 10693, 81, 16528, 711, 284, 630, 32, 695, 710, 1216, 4902, 16528, 785, 280, 5053, 10630, 81, 16528, 950, 14773, 81, 16528, 30, 1378, 330, 10163, 81, 16528, 950, 10693, 81, 16528, 111, 334, 665, 2222, 10507, 2828, 26, 784, 30, 2663, 30, 2091, 30, 6822, 30, 2841, 711, 284, 630, 32, 695, 710, 1216, 4902, 4536, 101, 785, 280, 5053, 1393, 81, 11580, 2558, 101, 950, 2663, 30, 1891, 330, 990, 81, 11580, 2558, 101, 950, 2091, 30, 1891, 330, 3462, 81, 11580, 2558, 101, 950, 6822, 30, 1891, 330, 1873, 81, 11580, 2558, 101, 950, 2841, 111, 334, 665, 2222, 1250, 2828, 26, 784, 30, 2384, 81, 11580, 2558, 101, 30, 1861, 81, 11580, 2558, 101, 711, 284, 630, 32, 695, 710, 1216, 4902, 3435, 81, 891, 785, 280, 5053, 2273, 81, 11580, 2558, 101, 950, 2384, 81, 11580, 2558, 101, 30, 10000, 330, 1644, 81, 11580, 2558, 101, 950, 1861, 81, 11580, 2558, 101, 111, 334, 665, 2222, 17696, 2828, 26, 784, 711, 284, 630, 32, 695, 710, 1216, 4902, 9833, 81, 1174, 785, 280, 5053, 9833, 81, 1174, 950, 2933, 111, 334, 665, 2222, 14069, 705, 1969, 2828, 26, 784, 30, 827, 711, 284, 630, 32, 695, 710, 1216, 4902, 4698, 81, 452, 81, 1637, 785, 280, 5053, 681, 950, 827, 111, 334, 665, 2222, 1969, 3198, 2828, 26, 784, 30, 1477, 30, 943, 280, 1665, 711, 284, 1938, 81, 19972, 280, 11658, 415, 330, 1637, 81, 3585, 25, 646, 328, 630, 32, 695, 710, 1216, 785, 813, 4511, 630, 32, 695, 710, 1216, 4902, 1637, 81, 3585, 4902, 7568, 3490, 284, 537, 81, 3585, 280, 5053, 1366, 950, 1477, 111, 284, 415, 943, 438, 646, 1665, 44, 397, 537, 81, 3585, 710, 416, 20950, 943, 284, 1938, 81, 19972, 32, 1689, 26, 890, 81, 3585, 27, 284, 630, 32, 695, 710, 1216, 4902, 1637, 81, 3585, 20950, 5053, 7568, 950, 1938, 81, 19972, 111, 203, 823, 570, 2955, 5229, 26, 1473, 711, 334, 31125, 65 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 7, 7, 7, 7, 3, 3, 7, 8, 6, 6, 4, 4, 8, 9, 7, 9, 9, 6, 6, 4, 4, 8, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 6, 6, 10, 10, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 6, 6, 10, 10, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 6, 6, 10, 10, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 9, 6, 6, 10, 10, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 6, 6, 10, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 6, 6, 10, 10, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 9, 6, 6, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 9, 6, 6, 10, 10, 10, 10, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 9, 9, 9, 6, 6, 10, 10, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 11, 11, 11, 11, 9, 9, 9, 11, 12, 10, 12, 12, 8, 8, 8, 12, 13, 11, 13, 13, 12, 12, 12, 12, 11, 11, 4, 4, 7, 7, 6, 6, 10, 10, 8, 7, 4, 4, 5, 6, 6, 6, 5, 5, 5, 10, 10, 9, 11, 11, 8, 4, 4, 8, 8, 7, 8, 7, 8, 8, 8, 7, 4, 4, 9, 10, 8, 10, 10, 9, 9, 9, 9, 6, 10, 10, 8, 9, 9, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5 ]	[ 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 1, 2, 0, 0, 4, 4, 0, 2, 0, 1, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 3, 3, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 5, 5, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 2, 4, 4, 7, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 7, 7, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 4, 4, 9, 1, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 4, 4, 10, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0 ]

[ 1070, 358, 1220, 1229, 32, 22952, 1188, 30032, 1572, 30, 42631, 8104, 203, 1070, 358, 1220, 1229, 32, 22952, 5971, 1188, 42631, 5971, 203, 1070, 358, 1220, 1229, 32, 24532, 1188, 559, 85, 203, 1070, 358, 1220, 1229, 32, 22957, 1188, 18513, 203, 1070, 19486, 32, 44061, 1188, 447, 782, 1110, 30, 46157, 44061, 30, 10473, 44061, 203, 1070, 19486, 32, 14813, 32, 4709, 1188, 5069, 203, 1070, 19486, 32, 4711, 1188, 595, 4711, 203, 1070, 15635, 32, 26084, 1188, 5889, 10239, 30, 45318, 1304, 81, 21980, 69, 30, 45318, 1304, 81, 9718, 521, 81, 10393, 203, 1070, 931, 30624, 1188, 484, 6421, 203, 1070, 2322, 1188, 2664, 203, 823, 8159, 22952, 26, 22952, 5971, 30, 559, 85, 711, 203, 202, 20718, 280, 1524, 357, 202, 46, 4458, 2747, 347, 34, 30, 34, 20, 1334, 347, 41, 36, 34, 30, 39, 41, 40, 20, 1780, 347, 19016, 13585, 5736, 347, 18069, 2023, 7251, 20, 848, 355, 202, 46, 3854, 636, 347, 878, 20, 2747, 347, 35, 39, 37, 30, 38, 34, 20, 1334, 347, 37, 38, 34, 30, 37, 34, 34, 20, 2357, 347, 14377, 45, 36, 36, 20, 1681, 355, 202, 46, 3854, 1914, 347, 668, 20, 2908, 347, 720, 1501, 20, 2747, 347, 39, 37, 30, 37, 38, 34, 20, 1334, 347, 38, 38, 34, 30, 35, 42, 34, 20, 39824, 2101, 347, 2245, 1484, 31369, 20, 848, 603, 202, 46, 5954, 827, 347, 652, 720, 20, 1681, 355, 202, 377, 3854, 48, 355, 202, 46, 3854, 636, 347, 1163, 20, 2747, 347, 39, 37, 30, 37, 38, 34, 20, 1288, 2731, 347, 35, 20, 1334, 347, 38, 38, 34, 30, 35, 42, 34, 20, 13532, 347, 35, 20, 39824, 2101, 347, 2245, 1484, 31369, 20, 1681, 355, 202, 46, 87, 44061, 26513, 1110, 347, 20718, 81, 1536, 33, 11430, 33, 1640, 81, 1092, 32, 1645, 20, 2747, 347, 38, 34, 30, 36, 36, 39, 20, 1288, 2731, 347, 34, 20, 1334, 347, 35, 39, 30, 35, 40, 20, 13532, 347, 35, 20, 743, 833, 5096, 347, 267, 20, 1681, 355, 202, 46, 3854, 636, 347, 1581, 3531, 371, 407, 20, 2747, 347, 39, 39, 30, 36, 36, 39, 20, 1334, 347, 43, 39, 30, 37, 34, 20, 2357, 347, 14377, 45, 35, 42, 20, 1681, 355, 202, 46, 3854, 636, 347, 21880, 20, 26513, 1110, 347, 20718, 81, 1536, 33, 21880, 32, 1645, 20, 2747, 347, 38, 34, 30, 39, 34, 20, 1288, 2731, 347, 35, 34, 20, 1334, 347, 35, 35, 34, 30, 35, 41, 38, 20, 743, 833, 5096, 347, 267, 20, 1681, 355, 202, 46, 3854, 636, 347, 899, 20, 26513, 8212, 347, 20718, 81, 1536, 33, 899, 32, 1645, 30, 20718, 81, 1536, 33, 100, 46713, 32, 1645, 20, 2747, 347, 39, 34, 34, 30, 39, 34, 20, 1288, 2731, 347, 35, 34, 20, 1334, 347, 35, 39, 38, 30, 39, 34, 34, 20, 743, 833, 5096, 347, 267, 20, 1681, 355, 202, 46, 3854, 636, 347, 6461, 1746, 20, 26513, 1110, 347, 20718, 81, 1536, 33, 6461, 1746, 32, 1645, 20, 2747, 11150, 35 ]

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

[ 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]

[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 10, 10, 1, 2, 1, 1, 2, 2, 3, 2, 10, 10, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1070, 32625, 32, 4266, 1188, 32625, 858, 203, 1070, 32625, 32, 4266, 1188, 3395, 1191, 203, 465, 42353, 203, 465, 42353, 32, 10337, 619, 594, 2356, 203, 465, 42353, 32, 858, 81, 1040, 203, 1070, 337, 2251, 32, 1262, 1188, 18406, 90, 6112, 203, 1070, 337, 2251, 32, 10119, 1188, 2260, 3209, 203, 823, 358, 764, 90, 6112, 1061, 41058, 1006, 26, 8938, 32, 858, 81, 1040, 32, 33534, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 2599, 922, 23741, 346, 284, 630, 32, 19050, 280, 42353, 32, 3855, 32, 2978, 7483, 953, 26, 34, 27, 284, 630, 32, 3534, 280, 225, 38, 284, 630, 32, 96, 280, 225, 40, 42, 284, 630, 32, 95, 280, 225, 35, 36, 37, 284, 630, 32, 19050, 30, 319, 19050, 101, 280, 42353, 32, 3855, 32, 2998, 26, 784, 32, 19050, 30, 225, 39, 27, 284, 630, 32, 106, 280, 42353, 32, 3855, 32, 10586, 26, 19050, 101, 77, 34, 614, 308, 784, 32, 96, 30, 630, 32, 3534, 490, 284, 630, 32, 107, 280, 42353, 32, 3855, 32, 10586, 26, 19050, 101, 77, 35, 614, 308, 784, 32, 95, 30, 630, 32, 3534, 490, 284, 312, 280, 42353, 32, 3855, 32, 10586, 26, 19050, 101, 77, 36, 614, 308, 784, 32, 96, 33702, 284, 323, 280, 42353, 32, 3855, 32, 10586, 26, 19050, 101, 77, 37, 614, 308, 784, 32, 95, 33702, 284, 630, 32, 83, 280, 312, 517, 594, 2356, 32, 1036, 26, 83, 27, 284, 630, 32, 84, 280, 323, 517, 594, 2356, 32, 1036, 26, 84, 27, 334, 477, 5609, 1191, 32, 9281, 81, 5138, 26, 397, 5436, 26, 616, 894, 1732, 81, 426, 1057, 45581, 31, 1347, 31, 95, 418, 370, 616, 456, 277, 81, 2816, 47, 1815, 30, 616, 34182, 47, 35, 32, 34, 30, 616, 8267, 81, 22400, 47, 35, 34, 30, 616, 9807, 81, 731, 47, 35, 30, 616, 30225, 81, 83, 47, 34, 32, 42, 30, 616, 30225, 81, 84, 47, 34, 32, 43, 616, 2588, 397, 5436, 26, 616, 894, 1732, 81, 426, 1057, 45581, 31, 4363, 31, 95, 418, 370, 616, 456, 277, 81, 2816, 47, 1815, 30, 616, 34182, 47, 35, 32, 39, 30, 616, 8267, 81, 22400, 47, 35, 34, 30, 616, 9807, 81, 731, 47, 35, 30, 616, 30225, 81, 83, 47, 34, 32, 42, 30, 616, 30225, 81, 84, 47, 34, 32, 43, 616, 2588, 397, 5436, 26, 616, 894, 1732, 81, 426, 1057, 4079, 31, 1347, 31, 95, 418, 370, 616, 456, 277, 81, 2816, 47, 2700, 30, 616, 34182, 47, 35, 32, 34, 30, 616, 8267, 81, 22400, 47, 35, 34, 30, 616, 9807, 81, 731, 47, 35, 30, 616, 30225, 81, 83, 47, 34, 32, 42, 30, 616, 30225, 81, 84, 47, 34, 32, 43, 616, 2588, 397, 5436, 26, 616, 894, 1732, 81, 426, 1057, 4079, 31, 4363, 31, 95, 418, 370, 616, 456, 277, 81, 2816, 47, 2700, 30, 616, 34182, 47, 35, 32, 39, 30, 616, 8267, 81, 22400, 47, 35, 34, 30, 616, 9807, 81, 731, 47, 35, 30, 616, 30225, 81 ]

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

[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 5, 4, 5, 5, 5, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 8, 7, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 7, 4, 4, 8, 9, 7, 7, 9, 9, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 10, 10, 9, 10, 9, 8, 11, 10, 11, 9, 9, 10, 11, 9, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 10, 10, 9, 10, 9, 8, 11, 10, 11, 9, 9, 10, 11, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 9, 10, 9, 8, 11, 10, 11, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 9, 10, 9, 8, 11, 10, 11, 9, 4, 4, 7, 8, 6, 6, 7, 7, 10, 9, 10, 9, 10, 9, 4, 4, 7, 8, 6, 6, 7, 7, 10, 9, 10, 9, 10, 9, 2, 2, 7, 7, 6, 7, 7, 7, 6, 6, 6, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 9, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 6, 6, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 9, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 6, 6, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 9, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 6, 6, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 9, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10 ]

[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 2, 1, 1, 2, 0, 4, 4, 1, 2, 2, 2, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 3, 3, 3, 2, 3, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 3, 3, 3, 2, 3, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 3, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 3, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 1, 0, 0, 13, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 1, 0, 0, 13, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 1, 0, 0, 13, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 0 ]

[ 1070, 309, 568, 4430, 93, 32, 751, 7983, 1188, 1245, 81, 944, 45, 1245, 81, 944, 4064, 426, 15683, 3555, 1245, 81, 944, 203, 1070, 309, 568, 4430, 93, 32, 510, 843, 13110, 1188, 9748, 959, 203, 1070, 309, 568, 4430, 93, 32, 1744, 32, 4156, 32, 15210, 81, 7982, 81, 853, 1188, 21620, 9504, 882, 203, 465, 2322, 203, 589, 5683, 26, 1744, 30, 616, 2266, 81, 2592, 30, 616, 22587, 81, 6057, 30, 616, 1929, 81, 4820, 280, 225, 36, 30, 616, 1929, 81, 21608, 280, 225, 35, 30, 616, 1360, 3673, 280, 313, 1523, 91, 392, 616, 1769, 81, 6299, 280, 225, 38, 30, 616, 1769, 81, 17915, 280, 225, 35, 34, 34, 30, 616, 9124, 280, 1665, 30, 616, 38845, 81, 5905, 81, 1338, 280, 1665, 30, 616, 2787, 81, 19113, 81, 3153, 280, 1665, 711, 284, 12889, 280, 3118, 1114, 5478, 284, 617, 6507, 81, 2067, 280, 622, 81, 6507, 81, 2067, 26, 5478, 27, 284, 9124, 280, 629, 26, 500, 32, 305, 1911, 26, 36, 547, 4434, 463, 6949, 1425, 225, 35, 40, 27, 415, 9124, 438, 1665, 813, 9124, 284, 10990, 81, 1160, 280, 617, 6507, 81, 2067, 32, 3239, 26, 1744, 1114, 6507, 30, 9111, 2266, 81, 2592, 30, 9111, 12889, 32, 92, 2304, 32, 5954, 32, 452, 81, 6507, 81, 668, 81, 800, 26, 28440, 81, 6057, 471, 9111, 1929, 81, 4820, 30, 9111, 1929, 81, 21608, 30, 9111, 1360, 3673, 30, 9111, 1769, 81, 6299, 30, 9111, 1769, 81, 17915, 30, 9111, 9124, 30, 9111, 1156, 371, 81, 30199, 81, 5905, 81, 1338, 26, 5478, 30, 38845, 81, 5905, 81, 1338, 471, 9111, 12889, 32, 92, 2304, 32, 5954, 32, 452, 81, 6507, 81, 1762, 26, 3274, 81, 19113, 81, 3153, 490, 284, 442, 9500, 26844, 15401, 1243, 26, 5478, 30, 10990, 81, 1160, 27, 203, 589, 1156, 371, 81, 30199, 81, 5905, 81, 1338, 26, 5478, 30, 281, 711, 284, 415, 281, 438, 646, 1665, 44, 291, 281, 280, 12889, 32, 92, 2304, 32, 5954, 32, 452, 81, 6507, 81, 1110, 26, 85, 27, 284, 442, 12889, 32, 92, 2304, 32, 5954, 32, 452, 81, 6507, 81, 1762, 26, 85, 27, 203, 589, 622, 81, 6507, 81, 2067, 26, 5478, 711, 284, 442, 12889, 32, 545, 1114, 23505, 32, 1088, 32, 31802, 12445, 32, 10201, 4692, 32, 3378, 32, 15210, 32, 3855, 81, 30898, 81, 18838, 32, 6096, 26844, 15401, 1243, 203, 823, 9500, 26844, 15401, 1243, 26, 3289, 959, 711, 284, 665, 1156, 1664, 3207, 784, 30, 12889, 30, 10990, 81, 1160, 711, 291, 630, 1114, 5478, 280, 12889, 291, 12889, 32, 92, 2304, 32, 4635, 81, 297, 81, 23505, 81, 2386, 81, 1028, 26, 6507, 81, 1160, 30, 622, 81, 6507, 81, 2067, 26, 5478, 490, 291, 630, 1114, 6507, 280, 10990, 81, 1160, 284, 477, 16099, 284, 665, 2454, 26, 5478, 30, 10990, 81, 1160, 711, 291, 442, 9500, 26844, 15401, 1243, 26, 5478, 30, 10990, 81, 1160, 27, 284, 477, 2433, 284, 665, 2266, 81, 2592, 26, 784, 711, 291, 442, 630, 1114, 6507, 32, 1172, 2137 ]

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

[ 1, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 0, 3, 3, 3, 4, 4, 0, 1, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 4, 4, 3, 3, 4, 2, 2, 2, 4, 4, 3, 3, 4, 2, 2, 2, 4, 3, 3, 5, 5, 5, 2, 2, 4, 4, 3, 3, 4, 2, 2, 2, 4, 4, 3, 3, 4, 4, 4, 2, 2, 2, 3, 3, 2, 2, 2, 4, 4, 4, 4, 3, 3, 2, 2, 2, 4, 4, 4, 4, 3, 3, 2, 1, 1, 4, 4, 5, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 7, 12, 11, 12, 12, 11, 12, 11, 10, 9, 11, 11, 7, 8, 8, 7, 5, 5, 6, 6, 5, 5, 2, 2, 5, 5, 4, 4, 7, 7, 7, 6, 7, 6, 8, 7, 8, 6, 6, 6, 7, 7, 6, 6, 6, 10, 11, 11, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 6, 7, 6, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 9, 9, 9, 9, 8, 6, 6, 10, 11, 11, 9, 10, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 6, 6, 10, 11, 11, 9, 10, 8, 9, 9, 9, 9, 9, 8, 9, 8, 2, 2, 3, 7, 8, 8, 6, 7, 5, 6, 6, 6, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 12, 13, 11, 12, 10, 11, 9, 10, 10, 8, 9, 9, 7, 8, 6, 7, 5, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 8, 9, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 10, 9, 4, 4, 7, 8, 6, 6, 7, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 6, 6, 5, 4, 4, 6, 8, 8, 8, 8, 9, 8, 8, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 8, 9, 9 ]

[ 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 4, 1, 1, 0, 5, 5, 0, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 0, 8, 8, 2, 1, 2, 2, 2, 3, 3, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 7, 7, 2, 2, 2, 2, 0, 0, 9, 9, 2, 2, 2, 2, 0, 11, 11, 1, 1, 2, 2, 2, 0, 0, 13, 13, 2, 2, 2, 2, 0, 0, 15, 15, 2, 2, 2, 2, 2, 2, 17, 17, 2, 2, 2, 0, 0, 0, 0, 19, 19, 2, 2, 2, 0, 0, 0, 0, 21, 21, 2, 8, 8, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 3, 3, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 9, 9, 1, 1, 1, 11, 1, 1, 1, 13, 13, 1, 1, 1, 15, 15, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 11, 11, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2 ]

[ 1070, 3089, 749, 98, 1188, 4125, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 500, 104, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 10431, 81, 9572, 280, 428, 4511, 2726, 1347, 31, 1436, 1195, 2023, 4578, 1425, 4511, 2726, 5691, 1195, 5711, 1425, 4511, 2726, 1521, 1195, 20236, 4578, 683, 4511, 1481, 203, 10431, 81, 31528, 280, 30121, 1908, 299, 322, 313, 5711, 20, 2470, 1098, 11748, 1256, 623, 322, 1474, 30, 6608, 299, 313, 20236, 4578, 20, 1098, 1422, 600, 3756, 623, 322, 1474, 461, 2163, 322, 7290, 32, 886, 4578, 1401, 372, 526, 6638, 328, 322, 2354, 1600, 11834, 203, 823, 736, 81, 15699, 26, 500, 104, 32, 500, 104, 711, 284, 617, 6815, 280, 330, 575, 32, 15699, 25, 284, 617, 6057, 280, 301, 291, 330, 16842, 81, 8447, 25, 499, 3829, 32, 8319, 26, 10431, 81, 9572, 30, 330, 14837, 7679, 370, 3049, 47, 10431, 81, 31528, 30, 2129, 47, 1815, 471, 291, 330, 16842, 81, 8447, 81, 2076, 25, 499, 3829, 32, 878, 463, 1175, 436, 25573, 7679, 1425, 291, 330, 15735, 81, 8447, 25, 499, 3829, 32, 8319, 26, 10431, 81, 9572, 30, 330, 18201, 7679, 370, 3049, 47, 10431, 81, 31528, 30, 2129, 47, 1815, 471, 291, 330, 15735, 81, 8447, 81, 2076, 25, 499, 3829, 32, 878, 463, 1175, 436, 37739, 7679, 1425, 291, 330, 8800, 299, 81, 8447, 25, 499, 3829, 32, 8319, 26, 10431, 81, 9572, 30, 330, 14048, 24650, 299, 370, 3049, 47, 10431, 81, 31528, 30, 2129, 47, 1815, 471, 291, 330, 8800, 299, 81, 8447, 81, 2076, 25, 499, 3829, 32, 878, 463, 1175, 436, 22454, 24650, 299, 1425, 291, 330, 10969, 81, 8447, 25, 499, 3829, 32, 8319, 26, 10431, 81, 9572, 30, 330, 15020, 370, 3049, 47, 10431, 81, 31528, 30, 2129, 47, 1815, 471, 291, 330, 10969, 81, 8447, 81, 2076, 25, 499, 3829, 32, 878, 463, 1175, 436, 32731, 1425, 284, 320, 284, 617, 10514, 280, 301, 276, 330, 16842, 81, 8447, 25, 499, 330, 1347, 31, 1436, 370, 276, 330, 15735, 81, 8447, 25, 499, 330, 1347, 31, 1436, 370, 276, 330, 8800, 299, 81, 8447, 25, 499, 330, 1347, 31, 1436, 370, 276, 330, 10969, 81, 8447, 25, 499, 330, 1347, 31, 1436, 370, 284, 320, 203, 823, 25943, 81, 1174, 26, 500, 104, 32, 1243, 711, 284, 617, 6815, 280, 330, 16842, 32, 1174, 25, 284, 477, 1237, 32, 267, 2342, 463, 15699, 81, 314, 683, 284, 665, 43398, 81, 15699, 81, 314, 81, 5691, 26, 784, 711, 291, 415, 646, 630, 32, 15699, 81, 314, 44, 324, 442, 291, 5967, 280, 2149, 291, 1780, 280, 3177, 291, 1474, 280, 3177, 291, 25253, 280, 630, 32, 15699, 81, 314, 291, 415, 25253, 32, 16842, 81, 8447, 610, 330, 1347, 31, 1436, 25, 461, 25253, 32, 2544, 81, 314, 44, 324, 25253, 280, 25253, 32, 2544, 81, 314, 291, 415, 25253, 32, 16842, 81, 8447, 863, 330, 1347, 31, 1436, 950, 324, 415, 25253, 32, 16842, 81, 8447, 863, 330, 1521, 25, 461, 25253, 32 ]

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

[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 5, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 7, 6, 7, 7, 6, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 9, 9, 9, 6, 6, 6, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 8, 9, 9, 9, 5, 5, 6, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 7, 7, 8, 9, 9, 9, 6, 6, 6, 9, 9, 10, 11, 11, 11, 5, 5, 6, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 6, 6, 8, 12, 13, 13, 13, 11, 11, 13, 13, 10, 10, 11 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 2, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 7, 7, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 9, 9, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 11, 11, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 13, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 15, 15, 0, 2, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 7, 1, 1, 1, 2, 2, 2, 0, 6, 6, 1, 1, 2, 0, 0, 1, 2, 2, 6, 6, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 5, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 5, 5, 5, 0, 0, 2, 2, 2, 2, 4, 4, 6, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2 ]

[ 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 1070, 35243, 1648, 1188, 20418, 203, 5522, 26, 397, 636, 280, 313, 37623, 874, 392, 397, 1503, 280, 20418, 30, 397, 4081, 280, 313, 39702, 392, 397, 1984, 280, 330, 525, 555, 933, 32, 508, 33, 6749, 29921, 83, 33, 31047, 370, 397, 3048, 280, 313, 20919, 8187, 600, 559, 1996, 2739, 4414, 397, 7599, 280, 2290, 81, 5043, 463, 1617, 1425, 397, 2652, 81, 1515, 280, 5053, 950, 330, 1617, 8885, 397, 2443, 81, 13966, 280, 2107, 43764, 370, 330, 10953, 2188, 397, 3414, 81, 3953, 280, 301, 330, 10953, 32, 4968, 32, 3164, 950, 330, 37623, 874, 47, 37623, 874, 25, 801, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 3, 3, 3, 3, 4, 4, 6, 6, 6, 3, 3, 4, 4, 3, 3, 3, 4, 4, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 8, 8, 3, 3, 5, 5, 4, 4, 8, 6, 8, 8, 3, 3, 5, 5, 4, 4, 7, 7, 5, 7, 7, 3, 3, 5, 5, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 5, 5, 1, 2, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 11, 0, 0, 1, 1, 2, 1, 1, 0, 0, 13, 13, 1, 1, 1, 2, 1, 1, 0, 0, 15, 15, 1, 2, 2, 1, 2, 1, 1, 0, 0, 17, 17, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 1070, 261, 1673, 2304, 32, 1040, 1188, 622, 81, 5134, 203, 465, 2322, 203, 465, 5237, 203, 465, 15798, 203, 465, 6436, 619, 2065, 203, 13147, 30, 14887, 280, 428, 629, 26, 86, 27, 436, 343, 328, 2065, 3667, 1648, 9818, 2998, 46661, 2867, 36, 79, 1481, 203, 325, 12350, 610, 225, 34, 44, 11074, 720, 924, 280, 12678, 203, 1824, 44, 2033, 11074, 720, 924, 280, 10091, 203, 465, 9320, 203, 823, 9320, 7233, 26, 18986, 32, 7233, 711, 284, 665, 1156, 1664, 3207, 784, 30, 24921, 347, 1945, 4470, 10280, 291, 15798, 32, 7233, 3667, 1664, 3207, 784, 30, 24921, 27, 291, 630, 32, 681, 2007, 225, 280, 313, 2627, 20, 291, 630, 32, 681, 1227, 280, 313, 86, 20, 284, 665, 894, 2133, 26, 784, 711, 291, 313, 1006, 2748, 667, 20, 291, 1459, 26, 784, 32, 681, 2007, 30, 20550, 3003, 943, 1057, 5769, 803, 47, 3731, 32, 8228, 27, 291, 2748, 280, 9320, 3667, 2665, 505, 77, 784, 32, 681, 2007, 474, 313, 2133, 1446, 291, 5045, 280, 3813, 42, 30, 225, 41, 614, 428, 40, 30, 225, 43, 3212, 291, 630, 32, 4983, 26, 2127, 26, 4873, 471, 225, 37, 34, 27, 284, 665, 894, 2133, 8418, 720, 26, 784, 711, 291, 313, 1006, 2748, 667, 623, 6658, 1149, 20, 291, 1459, 26, 784, 32, 681, 2007, 30, 20550, 3003, 943, 1057, 5769, 803, 47, 3731, 32, 8228, 27, 291, 2748, 280, 9320, 3667, 2665, 505, 77, 784, 32, 681, 2007, 474, 313, 2133, 1446, 291, 5045, 280, 3813, 42, 30, 225, 41, 614, 3037, 87, 392, 313, 1295, 32851, 291, 630, 32, 23895, 26, 8418, 720, 924, 30, 2748, 30, 5045, 27, 284, 665, 894, 2133, 19129, 5382, 26, 784, 711, 291, 313, 1006, 2748, 667, 623, 6643, 13135, 20, 291, 1459, 26, 784, 32, 681, 2007, 30, 20550, 3003, 943, 1057, 5769, 803, 47, 3731, 32, 8228, 27, 291, 2748, 280, 9320, 3667, 2665, 505, 77, 784, 32, 681, 2007, 474, 313, 2133, 1446, 291, 5045, 280, 428, 42, 30, 225, 41, 79, 291, 630, 32, 23895, 26, 18082, 30, 2748, 30, 5045, 27, 284, 665, 894, 2133, 19129, 1250, 26, 784, 711, 291, 313, 1006, 2748, 667, 623, 6643, 1334, 20, 291, 1459, 26, 784, 32, 681, 2007, 30, 20550, 3003, 943, 1057, 5769, 803, 47, 3731, 32, 8228, 27, 291, 2748, 280, 9320, 3667, 2665, 505, 77, 784, 32, 681, 2007, 474, 313, 2133, 1446, 291, 5045, 280, 3813, 42, 30, 225, 41, 30, 225, 40, 614, 428, 39, 30, 225, 38, 30, 225, 37, 614, 428, 36, 30, 225, 35, 30, 225, 34, 3212, 291, 630, 32, 23895, 26, 18082, 30, 2748, 30, 5045, 27, 284, 665, 894, 2133, 3910, 2879, 26, 784, 711, 291, 313, 1006, 2748, 667, 623, 2979, 31, 2630, 20, 291, 1459, 26, 784, 32, 681, 2007, 30, 20550, 3003, 943, 1057, 5769, 803, 47, 3731, 32, 8228, 27, 291, 2748, 280, 9320, 3667, 2665, 505, 77, 784, 32, 681, 2007, 474 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 4, 3, 3, 2, 2, 3, 5, 6, 5, 3, 4, 4, 4, 8, 9, 9, 8, 7, 5, 7, 5, 3, 0, 1, 1, 2, 2, 3, 1, 1, 5, 5, 4, 4, 1, 2, 2, 2, 2, 6, 6, 5, 5, 0, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 7, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 6, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 9, 8, 9, 9, 7, 7, 9, 7, 8, 10, 7, 8, 10, 9, 10, 7, 4, 4, 6, 6, 8, 9, 9, 7, 10, 9, 10, 10, 8, 8, 10, 10, 4, 4, 6, 6, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 9, 8, 9, 9, 7, 7, 9, 7, 8, 10, 7, 8, 10, 9, 10, 7, 4, 4, 6, 6, 8, 9, 9, 7, 10, 9, 10, 10, 8, 8, 10, 10, 4, 4, 6, 6, 9, 8, 8, 9, 8, 7, 10, 10, 8, 10, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 9, 8, 9, 9, 7, 7, 9, 7, 8, 10, 7, 8, 10, 9, 10, 7, 4, 4, 6, 6, 8, 9, 9, 7, 10, 9, 10, 10, 8, 8, 10, 10, 4, 4, 6, 6, 8, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 9, 8, 9, 9, 7, 7, 9, 7, 8, 10, 7, 8, 10, 9, 10, 7, 4, 4, 6, 6, 8, 9, 9, 7, 10, 9, 10, 10, 8, 8, 10, 10, 4, 4, 6, 6, 9, 8, 8, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 8, 9, 8, 7, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 9, 8, 9, 9, 7, 7, 9, 7, 8, 10, 7, 8, 10, 9, 10, 7, 4, 4, 6, 6, 8, 9, 9, 7, 10, 9, 10, 10, 8 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 3, 1, 3, 2, 0, 7, 7, 1, 1, 2, 7, 7, 0, 0, 0, 0, 7, 4, 4, 4, 4, 0, 0, 0, 0, 0, 8, 8, 0, 9, 9, 1, 2, 0, 1, 2, 2, 9, 9, 0, 1, 1, 1, 2, 2, 3, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 3, 1, 2, 1, 3, 3, 3, 3, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 3, 1, 2, 1, 2, 3, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 1, 2, 2, 3, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 3, 1, 1, 5, 1, 2, 1, 3, 3, 3, 3, 3, 5, 3, 2, 1, 5, 5, 3, 5, 5, 5, 5, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2 ]

[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 2304, 1188, 308, 284, 15218, 271, 924, 30, 284, 12906, 81, 1104, 30, 284, 1984, 4434, 81, 1526, 605, 30, 284, 37773, 81, 878, 30, 284, 37773, 81, 1793, 81, 2425, 30, 203, 27, 203, 81, 106, 280, 9254, 298, 44, 37773, 81, 1793, 81, 2425, 26, 98, 30, 5053, 106, 28676, 950, 330, 525, 555, 106, 28676, 32, 1088, 33, 2425, 33, 34, 7404, 1748, 203, 823, 489, 500, 6076, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 18470, 1499, 8169, 6505, 14731, 5000, 8169, 508, 7404, 474, 766, 353, 540, 25, 18470, 6912, 33, 12302, 49, 104, 47, 2502, 49, 66, 46, 314, 8828, 51, 31, 21948, 31, 108, 34, 31, 43, 8274, 35, 36, 1748, 8172, 25, 284, 617, 9994, 4613, 81, 2413, 280, 330, 525, 555, 14731, 5000, 32, 508, 33, 2593, 5263, 2593, 81, 314, 44, 101, 4009, 2593, 25, 284, 617, 3539, 81, 42974, 81, 29396, 280, 540, 20879, 84, 48, 974, 3182, 5422, 377, 84, 6457, 284, 617, 3765, 280, 301, 291, 330, 965, 950, 330, 525, 555, 14731, 5000, 32, 508, 8172, 104, 47, 6974, 42, 88, 274, 41, 89, 41, 8629, 99, 370, 291, 330, 954, 39, 950, 330, 40, 35, 36, 38, 318, 38, 41, 35, 37, 34, 86, 42, 864, 37, 35414, 3633, 40, 37, 39, 84, 34, 41, 35, 87, 40, 84, 40, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 6974, 42, 88, 274, 41, 89, 41, 8629, 99, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 7380, 81, 44300, 81, 34189, 5562, 81, 38, 42, 34, 98, 81, 8841, 1497, 31, 3299, 32, 25389, 32, 317, 38, 370, 324, 330, 12301, 950, 540, 4484, 44, 80, 641, 49, 555, 3424, 8169, 3072, 37143, 291, 320, 284, 320, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 711, 291, 6027, 81, 314, 280, 630, 1114, 2872, 81, 314, 26, 965, 27, 291, 3829, 280, 301, 324, 330, 314, 950, 6027, 81, 314, 30, 324, 330, 520, 950, 330, 4984, 35, 370, 324, 330, 1959, 81, 3994, 950, 330, 17743, 372, 13467, 370, 291, 320, 291, 3616, 280, 12906, 81, 1104, 26, 965, 30, 1984, 4434, 81, 1526, 605, 26, 4151, 490, 291, 3616, 32, 669, 81, 2111, 463, 1777, 31, 681, 370, 330, 3164, 33, 106, 31, 1499, 31, 599, 31, 27151, 683, 291, 41164, 280, 630, 1114, 4984, 81, 1840, 1637, 26, 2403, 30, 6027, 81, 314, 30, 11244, 330, 33829, 5822, 1938, 683, 291, 415, 316, 32, 1903, 26, 784, 1114, 3539, 81, 42974, 81, 29396, 30, 41164, 27, 438, 646, 1665, 44, 324, 3636, 15218, 271, 924, 463, 6076, 904, 101, 1957, 646, 2307, 25, 904, 6027, 81, 314, 30, 768, 2799, 47, 1815, 27, 291, 5592, 81, 314, 280, 630, 1114, 1903, 81, 7920, 26, 100, 25, 1317, 78, 110, 2009, 14747, 110, 6155 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 3, 3, 2, 2, 3, 3, 3, 5, 5, 5, 5, 5, 6, 5, 5, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 7, 7, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 4, 4, 6, 6, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 10, 11, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 8, 10, 10, 10, 10, 4, 4, 5, 8, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 8, 8, 6, 6, 6, 5, 5, 5, 7, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 9, 9, 10, 11, 9, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 15798, 1188, 7116, 2797, 203, 1070, 8527, 32, 2387, 1188, 10838, 40672, 203, 1070, 638, 858, 81, 11215, 1188, 10838, 9634, 4470, 203, 1270, 44, 284, 1188, 594, 17321, 36, 203, 7343, 29986, 44, 284, 594, 17321, 36, 280, 1665, 284, 971, 17321, 36, 280, 1665, 203, 1824, 44, 284, 645, 8527, 32, 2387, 32, 11514, 32, 45287, 36, 1188, 971, 17321, 36, 203, 50, 5961, 2797, 26, 45287, 36, 438, 1665, 30, 313, 578, 894, 7171, 594, 17321, 36, 657, 203, 823, 971, 17321, 36, 4470, 26, 3442, 9634, 4470, 711, 284, 6863, 81, 823, 280, 971, 17321, 36, 284, 9161, 81, 426, 280, 330, 45287, 36, 25, 284, 2075, 280, 5053, 10504, 81, 33542, 81, 22331, 950, 2933, 111, 284, 665, 894, 81, 6946, 26, 784, 711, 291, 3079, 280, 630, 32, 3483, 32, 371, 81, 2387, 463, 2387, 81, 11514, 33, 7656, 32, 916, 683, 291, 630, 32, 6549, 26, 2387, 32, 6946, 32, 426, 32, 20643, 463, 7656, 32, 916, 2847, 291, 630, 32, 5299, 26, 2387, 32, 6946, 32, 2387, 81, 426, 30, 330, 2387, 81, 11514, 33, 7656, 32, 916, 683, 284, 665, 894, 81, 6946, 81, 1070, 81, 800, 26, 784, 711, 291, 3079, 280, 630, 32, 3483, 32, 1070, 81, 800, 463, 8279, 14351, 96, 683, 291, 630, 32, 5299, 26, 2387, 32, 6946, 32, 426, 30, 4145, 2387, 22639, 291, 630, 32, 5299, 26, 2387, 32, 6946, 32, 2387, 81, 426, 30, 1665, 27, 284, 665, 894, 81, 784, 81, 1819, 26, 784, 711, 291, 3079, 280, 630, 32, 3483, 32, 1070, 81, 800, 463, 7656, 3335, 9214, 2038, 22735, 291, 1795, 280, 3079, 32, 3169, 26, 1819, 12516, 784, 950, 330, 784, 370, 330, 3986, 950, 330, 5860, 18143, 291, 630, 32, 5299, 26, 1286, 30, 330, 7656, 5788, 22735, 284, 665, 894, 81, 3893, 81, 2811, 81, 1338, 81, 887, 81, 1819, 26, 784, 711, 291, 623, 630, 32, 23895, 26, 3442, 40672, 27, 619, 484, 44, 324, 630, 32, 3483, 32, 371, 81, 2387, 463, 2387, 81, 11514, 33, 8144, 81, 731, 32, 916, 683, 291, 4588, 280, 484, 32, 3893, 32, 2387, 81, 2811, 291, 630, 32, 5299, 26, 2811, 710, 5483, 2188, 9142, 291, 630, 32, 5299, 26, 2811, 710, 5553, 2188, 9142, 291, 630, 32, 5299, 26, 2811, 710, 46510, 2188, 330, 4572, 2163, 3328, 683, 291, 630, 32, 5299, 26, 2811, 710, 3462, 2188, 225, 35, 27, 291, 630, 32, 5299, 26, 2811, 710, 1393, 2188, 225, 34, 27, 291, 630, 32, 5299, 26, 2811, 710, 928, 2188, 225, 35, 27, 291, 630, 32, 5299, 26, 2811, 710, 2999, 2188, 225, 35, 27, 291, 630, 32, 5299, 26, 1657, 26, 2811, 710, 1855, 81, 4446, 16578, 225, 35, 27, 291, 630, 32, 6549, 26, 2811, 710, 426, 5695, 20643, 463, 8144, 81, 731, 32, 916, 2847, 291, 630, 32, 6549, 463, 1436, 25, 328, 4588, 27, 284, 665, 894, 81, 3893, 81, 2811, 81, 1338, 81, 1449, 81, 1819, 26, 784, 711, 291, 623, 630, 32 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 5, 5, 3, 3, 6, 6, 5, 5, 1, 2, 2, 2, 2, 4, 5, 6, 5, 6, 5, 6, 6, 4, 4, 6, 6, 0, 2, 4, 4, 4, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 6, 6, 5, 5, 6, 6, 3, 3, 6, 6, 5, 5, 7, 7, 7, 3, 3, 5, 5, 9, 9, 9, 9, 9, 9, 7, 6, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 8, 13, 12, 13, 11, 12, 10, 11, 10, 12, 12, 12, 12, 5, 5, 8, 9, 8, 11, 10, 11, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 11, 12, 11, 5, 5, 8, 9, 8, 11, 10, 11, 9, 10, 8, 8, 10, 10, 5, 5, 8, 9, 8, 11, 10, 11, 9, 10, 10, 10, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 5, 5, 7, 7, 9, 10, 9, 11, 10, 14, 14, 12, 14, 14, 11, 14, 14, 12, 14, 14, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 11, 12, 11, 12, 12, 11, 9, 9, 6, 6, 6, 11, 12, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 7, 7, 9, 10, 8, 9, 9, 9, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 10, 10, 10, 10, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 9, 8, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 9, 8, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 9, 8, 5, 5, 8, 9, 8, 10, 9, 11, 11, 8, 9, 8, 5, 5, 8, 9, 8, 10, 10, 12, 11, 13, 13, 13, 13, 8, 9, 8, 5, 5, 8, 9, 8, 12, 11, 13, 13, 11, 10, 12, 12, 12, 12, 12, 12, 5, 5, 8, 9, 8, 11, 11, 9, 9, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 11 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 1, 2, 1, 4, 1, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 2, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0 ]

[ 2474, 280, 313, 76, 272, 9004, 101, 32, 2763, 32, 13666, 20455, 20, 203, 4530, 280, 313, 35, 32, 38, 32, 35, 20, 203, 37381, 280, 313, 10186, 102, 498, 860, 265, 20, 203, 4092, 280, 3330, 203, 9621, 81, 7604, 17475, 280, 2107, 76, 272, 9004, 101, 370, 330, 76, 272, 9004, 101, 32, 2763, 785, 203, 7604, 17475, 280, 2107, 76, 272, 9004, 101, 370, 330, 76, 272, 9004, 101, 32, 2763, 370, 330, 76, 272, 9004, 101, 32, 2763, 32, 13666, 20455, 785, 203, 14180, 81, 4858, 44785, 280, 1605, 203, 33305, 81, 76, 21125, 1706, 81, 1971, 69, 280, 41568, 36, 32, 37, 20, 203, 30800, 81, 76, 718, 7604, 81, 2474, 280, 3330, 203, 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 5522, 26, 284, 636, 280, 8912, 30, 284, 1503, 280, 20418, 30, 284, 4081, 280, 29480, 30, 284, 3541, 280, 7616, 30, 284, 8248, 76, 7888, 422, 44546, 280, 14199, 722, 81, 76, 21125, 1706, 81, 1971, 69, 30, 284, 7323, 76, 272, 9004, 558, 280, 19335, 72, 81, 76, 718, 7604, 81, 2474, 30, 284, 3583, 81, 5043, 280, 35121, 8993, 81, 7604, 17475, 30, 284, 7599, 280, 2290, 81, 5043, 1026, 284, 2305, 81, 1320, 81, 605, 280, 2933, 30, 284, 2652, 81, 605, 280, 301, 276, 40496, 710, 877, 10958, 6513, 32, 2760, 1195, 877, 4092, 32, 2760, 2188, 276, 801, 284, 2443, 81, 13966, 280, 43998, 81, 4858, 44785, 30, 284, 3414, 81, 3953, 280, 301, 291, 330, 5872, 13500, 32, 5872, 38154, 950, 6611, 101, 280, 904, 101, 25, 904, 308, 2474, 30, 8912, 471, 284, 801, 284, 8529, 81, 4770, 280, 3177, 30, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 4, 4, 5, 5, 5, 5, 3, 3, 3, 4, 4, 6, 6, 6, 3, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 3, 3, 5, 5, 4, 4, 5, 5, 5, 3, 3, 3, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 9, 9, 9, 9, 9, 7, 7, 9, 8, 8, 8, 5, 5, 3, 3, 5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]

[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 5, 1, 1, 1, 7, 7, 1, 1, 1, 0, 0, 0, 0, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 11, 11, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 13, 13, 2, 2, 2, 2, 1, 1, 1, 15, 15, 0, 0, 1, 1, 1, 0, 0, 0, 0, 17, 17, 1, 1, 1, 0, 0, 19, 19, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 21, 21, 2, 2, 2, 1, 1, 1, 0, 0, 23, 23, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 25, 25, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 36387, 32, 3893, 1188, 3398, 46794, 203, 823, 12122, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 7348, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 7348, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 33252, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 11924, 1212, 16525, 299, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 20319, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 20319, 1564, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 3012, 1564, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 3012, 1564, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 33252, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 14897, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 17784, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 33904, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 5104, 1419, 5909, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 7348, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 17784, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 17784, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 7348, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 11924, 1212, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 11924, 1212, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 33252, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 3012, 1564, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 11924, 1212, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 20319, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 18094, 2828, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 37364, 4711, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 33252, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 20319, 1564, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 20319, 1564, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 5104, 1419, 5909, 1834, 4607, 5827, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 20319, 1564, 40209, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 3012, 1564, 18428, 28741, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 12122, 37997, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 18751, 15271, 4607, 13133, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 4607, 20319, 1078, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 3725, 1299, 16379, 44035, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8073, 3012, 46812, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 8258, 705, 7348, 27209, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823, 48377, 3774, 12349, 26, 3265, 46794, 711, 284, 3097, 203, 823 ]

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

[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 0, 1 ]

[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 1, 2, 6, 6, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 1, 2, 7, 7, 0, 8, 8, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 1, 2, 9, 9, 0, 10, 10, 1, 1, 1, 1, 2, 1, 1, 2, 10, 10, 0, 11, 11, 1, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 12, 12, 1, 1, 2, 1, 1, 2, 12, 12, 0, 13, 13, 1, 2, 1, 1, 2, 13, 13, 0, 14, 14, 1, 2, 1, 1, 2, 14, 14, 0, 15, 15, 1, 1, 1, 1, 1, 2, 1, 1, 2, 15, 15, 0, 16, 16, 1, 1, 1, 2, 1, 1, 2, 16, 16, 0, 17, 17, 1, 1, 1, 2, 1, 1, 2, 17, 17, 0, 18, 18, 1, 1, 2, 1, 1, 2, 18, 18, 0, 19, 19, 1, 1, 1, 1, 2, 1, 1, 2, 19, 19, 0, 20, 20, 1, 1, 2, 1, 1, 2, 20, 20, 0, 21, 21, 1, 1, 1, 2, 1, 1, 2, 21, 21, 0, 22, 22, 1, 1, 1, 2, 1, 1, 2, 22, 22, 0, 23, 23, 1, 1, 1, 2, 1, 1, 2, 23, 23, 0, 24, 24, 1, 1, 1, 1, 2, 1, 1, 2, 24, 24, 0, 25, 25, 1, 1, 1, 2, 1, 1, 2, 25, 25, 0, 26, 26, 1, 1, 1, 1, 2, 1, 1, 2, 26, 26, 0, 27, 27, 1, 1, 2, 1, 1, 2, 27, 27, 0, 28, 28, 1, 1, 1, 1, 2, 1, 1, 2, 28, 28, 0, 29, 29, 1, 1, 2, 1, 1, 2, 29, 29, 0, 30, 30, 1, 1, 1, 1, 1, 2, 1, 1, 2, 30, 30, 0, 31, 31, 1, 1, 1, 1, 2, 1, 1, 2, 31, 31, 0, 32, 32, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 32, 32, 0, 33, 33, 1, 1, 1, 2, 1, 1, 2, 33, 33, 0, 34, 34, 1, 1, 1, 1, 1, 2, 1, 1, 2, 34, 34, 0, 35, 35, 1, 1, 2, 1, 1, 2, 35, 35, 0, 36, 36, 1, 1, 1, 1, 2, 1, 1, 2, 36, 36, 0, 37, 37, 1, 1, 1, 1, 2, 1, 1, 2, 37, 37, 0, 38, 38, 1, 1, 1, 2, 1, 1, 2, 38, 38, 0, 39, 39, 1, 1, 1, 2, 1, 1, 2, 39, 39, 0, 40, 40, 1, 1, 1, 1, 2, 1, 1, 2, 40, 40, 0, 41, 41, 1, 1, 2, 1, 1, 2, 41, 41, 0, 42 ]

[ 465, 13625, 203, 1070, 26921, 1188, 16359, 203, 1070, 8607, 1188, 10895, 203, 1070, 8607, 1188, 16359, 81, 7263, 203, 1070, 29346, 32, 1262, 1188, 4527, 203, 1070, 29346, 32, 853, 1188, 21335, 81, 1040, 203, 823, 6548, 14897, 26, 19653, 32, 19836, 711, 334, 665, 1156, 1664, 3207, 784, 30, 2125, 81, 426, 81, 452, 81, 1945, 280, 330, 7831, 284, 2599, 26, 3135, 14897, 30, 630, 14585, 1664, 3207, 1141, 81, 426, 81, 452, 81, 1945, 47, 1141, 81, 426, 81, 452, 81, 1945, 27, 284, 630, 32, 2679, 81, 10487, 81, 5553, 81, 1945, 280, 3177, 284, 630, 1114, 6281, 81, 7263, 280, 1665, 334, 665, 6028, 518, 9610, 2031, 26, 784, 30, 2075, 711, 284, 2599, 26, 3135, 14897, 30, 630, 547, 3402, 518, 9610, 2031, 26, 2184, 27, 284, 21335, 81, 1040, 32, 3402, 518, 9610, 2031, 26, 2184, 27, 284, 2075, 32, 6551, 9113, 9610, 3080, 2009, 291, 11363, 11243, 31, 2135, 31, 2848, 25, 284, 8834, 334, 665, 12515, 1562, 1969, 26, 784, 30, 1938, 30, 5427, 711, 284, 4527, 32, 23595, 26, 5962, 44, 5427, 32, 10487, 461, 353, 21335, 81, 1040, 32, 936, 21485, 1534, 26, 3486, 21335, 81, 1040, 32, 37952, 81, 26123, 65, 15693, 30, 3486, 330, 3135, 14897, 32, 1934, 17074, 10655, 370, 3486, 5427, 32, 29242, 81, 3007, 471, 1750, 40, 34, 27, 284, 442, 5427, 32, 29242, 81, 3007, 334, 665, 5477, 2529, 1562, 1969, 26, 784, 30, 1938, 711, 284, 442, 1938, 32, 1637, 81, 470, 32, 5646, 32, 1055, 26, 1637, 27, 610, 225, 34, 334, 665, 4489, 29207, 12805, 26, 784, 30, 1938, 30, 4878, 711, 284, 3097, 334, 665, 12888, 1969, 885, 26, 784, 30, 1938, 81, 470, 711, 284, 341, 777, 81, 8929, 81, 4243, 81, 452, 81, 1637, 81, 11400, 280, 13625, 32, 1536, 2665, 26, 668, 27, 284, 436, 1938, 328, 1938, 81, 470, 44, 397, 415, 1938, 32, 297, 81, 1696, 44, 291, 4036, 397, 341, 777, 81, 8929, 81, 426, 280, 1938, 81, 470, 32, 73, 777, 9140, 1562, 1969, 26, 1637, 27, 397, 341, 777, 81, 8929, 81, 4243, 81, 452, 81, 1637, 81, 11400, 77, 105, 777, 81, 8929, 81, 426, 997, 1689, 26, 1637, 32, 965, 27, 284, 415, 2069, 26, 105, 777, 81, 8929, 81, 4243, 81, 452, 81, 1637, 81, 11400, 32, 3494, 1157, 848, 225, 35, 44, 397, 3636, 3268, 440, 3817, 1938, 470, 44, 1829, 2784, 225, 35, 624, 2978, 13600, 2431, 21190, 313, 474, 616, 26542, 26, 105, 777, 81, 8929, 81, 4243, 81, 452, 81, 1637, 81, 11400, 490, 334, 665, 19231, 2130, 9610, 26, 784, 30, 5427, 711, 284, 630, 1114, 6281, 81, 7263, 280, 10895, 32, 20832, 9141, 26, 7128, 27, 284, 630, 1114, 6281, 81, 7263, 32, 2130, 26, 2521, 30, 1665, 27, 334, 665, 12888, 2185, 10622, 1969, 26, 784, 30, 1938, 30, 4878, 30, 3276, 711, 284, 4878, 32, 23595, 3092, 10593, 1078, 26000, 7371, 346, 284, 630, 1114, 6281, 81, 7263, 32, 6495, 26, 2521, 30, 1665, 27, 284, 630, 1114, 6281, 81, 7263 ]

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

[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 7, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 7, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 8, 8, 8, 10, 11, 9, 9, 9, 12, 12, 11, 12, 12, 12, 11, 11, 11, 13, 13, 12, 13, 13, 13, 13, 13, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 11, 7, 8, 8, 7, 4, 4, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 10, 11, 11, 11, 9, 10, 8, 9, 8, 9, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 7, 8, 9, 9, 9, 7, 7, 7, 6, 6, 9, 9, 9, 9, 9, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 10, 10, 9, 11, 10, 11, 9, 4, 4, 5, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 6, 6, 7, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 7, 7, 7, 4, 4, 8, 9, 9, 9 ]

[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 1, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 7, 7, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2 ]

[ 1270, 44, 284, 1188, 281, 14686, 274, 619, 19571, 203, 7343, 29986, 44, 284, 1188, 19571, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 1188, 23134, 203, 1070, 8527, 32, 12023, 32, 18780, 32, 11514, 32, 1439, 1188, 6548, 1761, 203, 823, 24650, 274, 7262, 26, 1473, 711, 284, 665, 10128, 101, 26, 784, 30, 2830, 711, 291, 442, 19571, 32, 16958, 26, 2067, 30, 19571, 32, 48534, 1675, 635, 81, 20474, 27, 284, 665, 20748, 26, 784, 30, 706, 711, 291, 442, 19571, 32, 12474, 26, 605, 27, 203, 823, 6548, 2780, 26, 3135, 1761, 711, 284, 665, 2454, 26, 784, 711, 291, 1596, 44, 324, 442, 23134, 32, 12474, 26, 784, 32, 2848, 81, 678, 30, 400, 16614, 47, 14686, 274, 7262, 30, 400, 1769, 81, 381, 47, 3550, 32, 9564, 81, 31784, 81, 3470, 30, 400, 17940, 1057, 11025, 32, 12023, 32, 18780, 32, 11514, 32, 2058, 81, 21326, 683, 291, 2940, 308, 34119, 32, 8418, 7785, 30, 10091, 711, 324, 630, 32, 1297, 346, 291, 442, 2149, 284, 665, 1487, 26, 784, 711, 291, 630, 32, 10454, 280, 2933, 284, 665, 4131, 26, 784, 30, 2298, 81, 1297, 47, 2700, 711, 291, 630, 1114, 2848, 81, 678, 280, 630, 1114, 371, 81, 2848, 81, 678, 346, 291, 630, 32, 10454, 280, 2933, 284, 665, 5375, 26, 784, 30, 3523, 81, 678, 47, 2521, 711, 291, 442, 3177, 284, 665, 3066, 26, 784, 30, 3523, 81, 678, 47, 2521, 711, 291, 630, 1114, 2848, 81, 678, 280, 4247, 291, 630, 1114, 2848, 81, 2613, 280, 2149, 291, 630, 32, 10454, 280, 2933, 284, 665, 14770, 81, 678, 26, 784, 711, 291, 630, 32, 2853, 346, 284, 665, 617, 371, 81, 2848, 81, 678, 26, 784, 711, 291, 3523, 81, 2613, 280, 18623, 26, 784, 30, 7610, 2848, 81, 2613, 370, 12797, 291, 442, 23134, 32, 16958, 26, 2848, 81, 2613, 30, 20918, 47, 1815, 30, 324, 17940, 1057, 11025, 32, 12023, 32, 18780, 32, 11514, 32, 2058, 81, 21326, 370, 324, 16614, 47, 14686, 274, 7262, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 8, 7, 7, 8, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 8, 7, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 5, 5, 7, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 9, 10, 11, 11, 11, 9, 9, 9, 11, 11, 10, 12, 11, 12, 12, 12, 12, 12, 9, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 6, 9, 8, 9, 9, 7, 7, 7, 6, 6, 10, 11, 10, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 8, 10, 10, 10, 10, 8, 4, 4, 5, 7, 8, 7, 8, 8, 8, 7, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 9, 9, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 1, 8, 3, 3, 0, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 0, 1, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 2, 1, 2, 2, 0, 0, 3, 2, 2, 3, 3, 0, 4, 4, 4, 2, 1, 2, 2, 0, 0, 3, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 203, 465, 5741, 203, 1070, 40946, 1188, 40946, 619, 617, 203, 1070, 20894, 32, 6319, 1188, 38092, 203, 1070, 20894, 32, 6319, 1188, 3194, 930, 203, 465, 9617, 583, 1294, 3854, 203, 465, 3223, 299, 203, 465, 5034, 32, 2812, 203, 1070, 1825, 1188, 21450, 1917, 203, 1070, 3741, 4668, 1188, 7823, 4668, 2101, 203, 465, 33613, 4018, 203, 1070, 5034, 32, 22014, 1188, 1692, 203, 465, 5171, 2304, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 10349, 1372, 2913, 4822, 1669, 308, 3518, 299, 32, 1721, 1669, 711, 284, 617, 13777, 81, 2883, 11483, 1392, 280, 30121, 16077, 10170, 683, 284, 617, 13777, 81, 14931, 1392, 280, 30121, 16077, 10170, 308, 30379, 19188, 284, 665, 1156, 1664, 3207, 784, 711, 291, 645, 3022, 1188, 622, 81, 725, 291, 1123, 280, 622, 81, 725, 346, 291, 630, 1114, 725, 280, 1123, 291, 3223, 299, 32, 1721, 1669, 3667, 1664, 3207, 784, 30, 1123, 27, 291, 630, 1114, 5728, 280, 10349, 1372, 2913, 4822, 346, 291, 630, 1114, 5728, 32, 2816, 81, 8968, 1454, 630, 1114, 5728, 81, 2816, 81, 8968, 291, 630, 32, 669, 26, 784, 1114, 5728, 27, 291, 630, 32, 470, 81, 1311, 26, 784, 1114, 13777, 81, 2883, 11483, 1392, 27, 284, 665, 617, 5728, 81, 2816, 81, 8968, 26, 784, 30, 7012, 30, 16459, 711, 291, 415, 16459, 44, 324, 630, 32, 470, 81, 1311, 26, 784, 1114, 13777, 81, 14931, 1392, 27, 291, 813, 44, 324, 630, 32, 470, 81, 1311, 26, 784, 1114, 13777, 81, 2883, 11483, 1392, 27, 203, 823, 10349, 1372, 2913, 4822, 308, 24883, 32, 3552, 711, 284, 617, 19958, 280, 225, 36, 284, 617, 2576, 81, 4758, 13899, 81, 2474, 280, 26155, 2023, 33613, 4324, 657, 284, 617, 18576, 81, 8606, 81, 11779, 62, 280, 29702, 291, 1044, 20879, 84, 28093, 101, 377, 84, 5213, 96, 25, 291, 4145, 4884, 48, 1908, 312, 2080, 33613, 1932, 377, 4884, 22639, 284, 617, 18576, 81, 34372, 25058, 81, 11779, 62, 280, 29702, 291, 1044, 20879, 84, 28093, 101, 377, 84, 48, 333, 91, 1563, 10454, 2874, 91, 5213, 96, 25, 291, 1044, 20879, 4884, 48, 9574, 884, 646, 6305, 7511, 377, 4884, 22639, 284, 617, 18576, 81, 34372, 1818, 2147, 81, 11779, 62, 280, 29702, 291, 1044, 20879, 84, 28093, 101, 377, 84, 48, 308, 30379, 5421, 96, 25, 291, 1044, 20879, 4884, 48, 12291, 623, 1346, 33613, 556, 1963, 377, 4884, 22639, 284, 617, 18576, 81, 2883, 11483, 1392, 81, 11779, 62, 280, 29702, 291, 4145, 84, 28093, 101, 377, 84, 5213, 96, 25, 291, 1044, 20879, 4884, 48, 2655, 15509, 3579, 2735, 372, 1930, 3404, 372, 322, 4269, 377, 4884, 22639, 284, 5286, 390, 225, 665, 1156, 1664, 3207, 784, 711, 291, 38092, 32, 3552, 3667, 1664, 3207, 784, 27, 291, 630, 32, 470, 81, 643, 81, 10316, 26, 40, 27, 291, 630, 32, 470, 81, 2592, 81, 10316, 26, 35, 36, 27, 291, 645, 3022, 1188, 622, 81, 725, 291, 1123, 280, 622, 81, 725, 346, 291, 630 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 2, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 7, 4, 4, 6, 6, 8, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 9, 8, 9, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 8, 9, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 5, 9, 10, 10, 10, 9, 11, 10, 11, 11, 11, 11, 9, 5, 5, 6, 6, 6, 10, 11, 11, 11, 10, 12, 11, 12, 12, 12, 12, 12, 10, 0, 1, 1, 2, 2, 2, 1, 4, 3, 4, 2, 1, 1, 5, 4, 4, 5, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 7, 7, 7, 6, 6, 6, 6, 2, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 2, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 2, 3, 5, 3, 3, 5, 5, 2, 2, 5, 4, 6, 6, 6, 2 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 3, 3, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 7, 7, 1, 2, 0, 8, 8, 8, 8, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 10, 10, 0, 0, 11, 11, 1, 2, 11, 11, 0, 12, 12, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 14, 14, 1, 1, 1, 1, 14, 0, 0, 1, 2, 2, 2, 14, 14, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 15, 15, 1, 1, 1, 15, 0, 1, 2, 2, 15, 15, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 2, 2, 2, 2, 1, 1, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 10, 0, 10, 10, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4 ]

[ 505, 2116, 505, 280, 330, 1198, 363, 90, 25, 203, 465, 1933, 203, 465, 5237, 203, 465, 2322, 203, 465, 316, 203, 465, 5741, 203, 465, 5741, 32, 14458, 203, 1070, 46032, 1188, 1188, 81, 1647, 203, 1070, 309, 3509, 36, 1188, 3051, 81, 4073, 30, 551, 3324, 1392, 81, 6333, 30, 35280, 43189, 203, 1070, 309, 3509, 36, 1188, 551, 3324, 1392, 81, 20120, 203, 1070, 309, 3509, 36, 1188, 551, 3324, 1392, 81, 5068, 81, 613, 9674, 203, 1070, 309, 3509, 36, 1188, 551, 3324, 1392, 81, 5068, 81, 3705, 203, 1070, 309, 3509, 36, 1188, 551, 3324, 1392, 81, 5068, 81, 783, 1926, 17944, 203, 1070, 309, 3509, 36, 32, 4890, 81, 13956, 1188, 1430, 81, 5792, 203, 1070, 309, 3509, 36, 32, 30138, 1188, 15310, 203, 1070, 309, 3509, 36, 32, 954, 2157, 1188, 13528, 2780, 203, 1070, 309, 3509, 36, 32, 5002, 81, 1088, 1188, 13662, 6510, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 1070, 309, 3509, 36, 1188, 8735, 203, 1070, 309, 3509, 36, 1188, 309, 3509, 203, 1070, 309, 3509, 36, 32, 6728, 1188, 8735, 1707, 203, 1070, 309, 3509, 36, 32, 6728, 1188, 804, 98, 28494, 203, 1070, 309, 3509, 36, 32, 6728, 1188, 343, 344, 203, 1070, 309, 3509, 36, 32, 6728, 1188, 8735, 2437, 203, 1070, 309, 3509, 36, 32, 6728, 1188, 7890, 203, 465, 5592, 3210, 365, 203, 465, 5592, 1325, 203, 4824, 69, 280, 301, 284, 309, 3509, 32, 9621, 44, 309, 3509, 30, 284, 8735, 1707, 32, 9621, 44, 8735, 1707, 30, 284, 8735, 2437, 32, 9621, 44, 8735, 2437, 30, 284, 343, 344, 32, 9621, 44, 343, 344, 30, 284, 7890, 32, 9621, 44, 7890, 30, 284, 804, 98, 28494, 32, 9621, 44, 804, 98, 28494, 30, 284, 8735, 32, 9621, 44, 8735, 30, 284, 5592, 3210, 365, 32, 9621, 44, 5592, 3210, 365, 30, 284, 5592, 1325, 32, 9621, 44, 5592, 1325, 203, 111, 203, 22116, 81, 12896, 280, 428, 284, 313, 2225, 314, 392, 284, 313, 2593, 4215, 81, 7003, 392, 284, 313, 2811, 392, 284, 313, 678, 81, 761, 392, 284, 313, 678, 81, 761, 81, 4617, 16096, 392, 284, 313, 6989, 81, 761, 392, 284, 313, 20634, 81, 681, 392, 284, 313, 7241, 392, 284, 313, 27190, 81, 1003, 81, 4903, 392, 284, 313, 426, 392, 284, 313, 1173, 81, 23545, 392, 284, 313, 2310, 392, 284, 313, 1327, 81, 979, 392, 284, 313, 6967, 81, 6482, 81, 6989, 392, 284, 313, 12708, 392, 284, 313, 5546, 81, 6416, 392, 284, 313, 426, 81, 599, 392, 284, 313, 5002, 81, 12708, 392, 284, 313, 4073, 392, 284, 313, 2585, 81, 539, 81, 3494, 81, 266, 81, 4519, 392, 284, 313, 12646, 81, 9698, 81, 2058, 392, 284, 313, 5820, 81, 6482, 81, 15324, 81, 6460, 392, 284, 313, 9258, 81, 9986, 392, 284, 313, 2848, 81, 4219, 392, 284, 313, 2225, 81, 3153, 392, 284, 313, 2593, 4215, 81, 983, 392, 284, 313, 6728, 81, 14331, 392, 284, 313, 6989, 81, 4531, 81, 7615, 81, 823, 392, 284, 313, 5536, 81 ]

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

[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 3, 3, 2, 2, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 3, 5, 6, 4, 4, 3, 3, 3, 6, 6, 5, 6, 4, 4, 5, 5, 3, 3, 3, 5, 6, 4, 4, 3, 3, 3, 6, 6, 5, 6, 4, 4, 5, 5, 3, 3, 3, 6, 5, 6, 4, 4, 5, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5 ]

[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 1, 2, 0, 7, 7, 7, 7, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 13, 0, 0, 1, 2, 2, 2, 13, 13, 0, 0, 0, 14, 14, 0, 0, 1, 2, 14, 14, 0, 15, 15, 0, 0, 1, 2, 2, 15, 15, 0, 0, 16, 16, 0, 0, 1, 2, 2, 2, 16, 16, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 18, 18, 0, 0, 18, 18, 0, 19, 19, 0, 0, 19, 19, 0, 0, 20, 20, 0, 0, 1, 2, 20, 20, 0, 0, 21, 21, 0, 0, 1, 2, 21, 21, 0, 0, 0, 22, 22, 0, 0, 1, 2, 22, 22, 0, 0, 23, 23, 0, 0, 1, 2, 23, 23, 0, 0, 24, 24, 0, 0, 1, 2, 24, 24, 0, 25, 25, 0, 0, 0, 26, 26, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 3, 3, 2, 2, 2, 2, 0, 0, 2, 5, 5, 2, 2, 2, 2, 0, 0, 2, 7, 7, 2, 2, 2, 2, 0, 2, 9, 9, 2, 2, 2, 0, 0, 0, 2, 11, 11, 2, 2, 2, 2, 2, 0, 2, 13, 13, 2, 2, 2, 0, 0, 0, 2, 15, 15, 2, 2, 2, 2, 2, 0, 0, 2, 17, 17, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1 ]

[ 465, 3312, 203, 465, 25630, 203, 465, 298, 4614, 203, 1070, 1288, 449, 32, 1055, 1188, 6422, 30, 6422, 1215, 30, 6422, 2633, 203, 1070, 1288, 449, 32, 22451, 1188, 5380, 203, 1070, 1288, 449, 32, 8463, 32, 1637, 1055, 1188, 506, 57, 6224, 81, 4050, 30, 766, 203, 202, 13073, 81, 4050, 30, 8912, 81, 4050, 30, 13399, 81, 4050, 30, 17807, 81, 4050, 203, 1070, 1288, 449, 32, 1163, 1188, 3383, 7167, 203, 1070, 1288, 449, 32, 5558, 32, 3963, 1188, 319, 203, 50, 4882, 32, 20157, 1006, 203, 823, 2108, 35646, 1969, 3350, 2780, 26, 4882, 32, 7233, 711, 203, 202, 589, 14553, 26, 784, 711, 357, 202, 784, 32, 2157, 823, 280, 9130, 3886, 1969, 3350, 2780, 357, 202, 784, 32, 1071, 823, 280, 22113, 1969, 34660, 357, 202, 784, 32, 22451, 280, 3312, 32, 890, 81, 22451, 346, 357, 202, 784, 32, 1055, 280, 630, 32, 22451, 32, 1055, 203, 202, 589, 1420, 1006, 26, 784, 711, 357, 202, 9592, 1006, 9130, 3886, 1969, 3350, 2780, 1650, 2568, 9592, 357, 202, 1707, 280, 7502, 2284, 346, 357, 202, 1707, 32, 22451, 280, 630, 32, 22451, 357, 202, 1707, 32, 1637, 280, 5380, 463, 1006, 44, 3986, 683, 357, 202, 784, 32, 6549, 26, 784, 32, 22451, 32, 371, 81, 1637, 26, 1707, 32, 1637, 547, 4658, 1157, 357, 202, 5309, 445, 686, 280, 630, 32, 2157, 823, 26, 784, 32, 1055, 27, 357, 202, 784, 32, 5299, 26, 5309, 445, 686, 32, 371, 81, 4545, 1026, 225, 34, 27, 357, 202, 784, 32, 5299, 26, 5309, 445, 686, 32, 371, 81, 96, 81, 6057, 1026, 225, 42, 27, 357, 202, 3242, 1071, 280, 630, 32, 1071, 823, 26, 1707, 30, 9643, 445, 686, 27, 357, 202, 1160, 280, 4345, 1071, 32, 371, 81, 1160, 346, 357, 202, 325, 6937, 26, 1160, 30, 25630, 32, 3350, 1243, 2348, 711, 355, 202, 1160, 280, 1542, 32, 371, 81, 1160, 346, 4512, 202, 784, 32, 5299, 26, 1160, 30, 9643, 445, 686, 27, 357, 202, 784, 32, 5299, 26, 5309, 445, 686, 32, 371, 81, 4545, 1026, 225, 34, 27, 357, 202, 784, 32, 5299, 26, 5309, 445, 686, 32, 371, 81, 96, 81, 6057, 1026, 225, 42, 27, 357, 202, 784, 32, 1055, 32, 1877, 26, 4383, 47, 4882, 32, 22589, 81, 2416, 81, 5057, 27, 357, 202, 4882, 32, 22589, 81, 2416, 81, 5057, 346, 357, 202, 96, 280, 9643, 445, 686, 32, 267, 81, 1731, 81, 96, 81, 4915, 26, 2521, 27, 357, 202, 784, 32, 6549, 26, 96, 848, 225, 34, 27, 357, 202, 96, 280, 9643, 445, 686, 32, 1731, 81, 96, 81, 4915, 26, 2521, 27, 357, 202, 784, 32, 6549, 26, 96, 848, 225, 34, 27, 357, 202, 979, 595, 328, 2155, 26, 5309, 445, 686, 32, 371, 81, 96, 81, 6057, 22805, 355, 202, 784, 32, 6549, 26, 1206, 9643, 445, 686, 32, 371, 81, 2592, 81, 681, 26, 91, 27, 438, 1665, 27, 357, 202, 1731, 280, 9643, 445, 686, 32, 267, 81, 371, 81, 1731, 1162, 34, 33702, 357, 202 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 2, 4, 3, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 5, 4, 5, 3, 2, 2, 4, 4, 5, 6, 5, 4, 4, 9, 8, 9, 9, 7, 7, 8, 8, 8, 8, 5, 5, 9, 8, 9, 9, 7, 7, 8, 8, 5, 5, 9, 8, 9, 7, 7, 9, 10, 10, 10, 9, 5, 5, 9, 8, 9, 7, 7, 9, 10, 8, 9, 3, 3, 4, 4, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 7, 7, 9, 9, 5, 5, 9, 8, 9, 7, 7, 8, 9, 5, 5, 9, 8, 9, 7, 7, 9, 11, 11, 11, 11, 5, 5, 9, 8, 9, 8, 14, 13, 14, 12, 13, 13, 13, 12, 14, 13, 14, 12, 11, 10, 5, 5, 8, 8, 8, 7, 7, 9, 10, 10, 9, 11, 10, 11, 9, 5, 5, 9, 8, 9, 8, 11, 11, 11, 10, 11, 11, 11, 10, 8, 9, 8, 5, 5, 9, 8, 9, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 8, 9, 8, 5, 5, 8, 8, 7, 7, 9, 10, 10, 9, 10, 9, 9, 10, 10, 9, 5, 5, 8, 7, 7, 10, 9, 10, 10, 10, 9, 5, 5, 6, 6, 8, 9, 8, 8, 9, 10, 10, 10, 8, 6, 6, 10, 9, 9, 11, 12, 12, 12, 11, 5, 5, 9, 8, 9, 8, 9, 8, 8, 9, 9, 8, 5, 5, 9, 8, 9, 8, 11, 11, 11, 10, 11, 11, 11, 10, 8, 9, 8, 5, 5, 9, 8, 9, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 8, 9, 8, 5, 5, 10, 9, 10, 8, 9, 8, 10, 9, 11, 10, 11, 11, 11, 11, 11, 8, 5, 5, 9, 8, 9, 9, 9, 9, 9, 8, 5, 5, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 5, 5, 9, 8, 9, 8, 10, 9, 9, 10, 8, 5, 5, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 5, 5, 9, 8, 9, 8, 10, 9, 9, 10, 8, 5, 5, 6, 6, 6, 6, 8, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 6, 6, 11, 10, 11, 10, 11, 11, 15, 15, 14, 15, 15, 15, 15, 15, 14, 15, 14, 12, 12, 10, 5, 5, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 11, 10, 5, 5 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 4, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 1, 2, 2, 8, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 10, 10, 1, 1, 1, 1, 3, 2, 2, 2, 1, 10, 10, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 20, 20, 20, 20, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 20, 20, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4 ]

[ 465, 2361, 203, 465, 15798, 203, 1070, 7395, 14510, 1188, 323, 36, 83, 81, 6949, 203, 1070, 15798, 1188, 7116, 23093, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 42986, 1188, 35890, 81, 29260, 203, 1070, 8527, 32, 2304, 32, 25931, 32, 21332, 1188, 2155, 203, 1070, 4377, 858, 81, 605, 1188, 2108, 750, 13976, 203, 1270, 44, 284, 645, 8527, 32, 2304, 32, 25931, 32, 21332, 1188, 281, 14686, 274, 619, 19571, 203, 7343, 29986, 44, 284, 1188, 19571, 203, 325, 35890, 81, 29260, 44, 284, 645, 8527, 32, 12023, 32, 21031, 32, 42986, 1188, 308, 65, 4270, 9518, 30, 546, 4270, 17131, 620, 30, 291, 34865, 984, 30, 546, 4270, 1284, 924, 30, 36413, 3564, 30, 16504, 4859, 30, 291, 34865, 81, 4530, 27, 203, 50, 5961, 23093, 26, 21415, 81, 29260, 30, 313, 29260, 438, 2129, 657, 203, 823, 546, 4270, 17131, 1006, 26, 18986, 32, 7233, 30, 2108, 750, 13976, 711, 284, 313, 2272, 3312, 322, 546, 4270, 21461, 3107, 284, 665, 894, 81, 12316, 681, 26, 784, 711, 291, 313, 10855, 546, 4270, 17131, 620, 1300, 3107, 291, 546, 4270, 17131, 620, 26, 35, 27, 291, 546, 4270, 17131, 620, 26, 41, 27, 291, 546, 4270, 17131, 620, 463, 1493, 683, 291, 546, 4270, 17131, 620, 463, 9518, 6174, 716, 64, 683, 291, 546, 4270, 17131, 620, 463, 7720, 87, 846, 1392, 683, 291, 546, 4270, 17131, 620, 463, 5842, 683, 291, 630, 32, 23895, 26, 29260, 984, 30, 546, 4270, 17131, 620, 30, 225, 36, 37, 27, 291, 630, 32, 23895, 26, 29260, 984, 30, 546, 4270, 17131, 620, 30, 330, 3986, 54, 683, 291, 630, 32, 23895, 26, 29260, 984, 30, 546, 4270, 17131, 620, 30, 225, 43, 27, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 26, 35, 471, 546, 4270, 17131, 620, 26, 35, 490, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 26, 41, 471, 330, 9518, 2256, 683, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 463, 1493, 1425, 330, 9864, 683, 291, 630, 32, 31196, 1324, 26, 65, 4270, 17131, 620, 463, 1493, 1425, 225, 36, 27, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 463, 6876, 1425, 225, 34, 27, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 26, 40, 471, 330, 12769, 5690, 8367, 57, 567, 683, 291, 630, 32, 5299, 26, 65, 4270, 17131, 620, 26, 35, 471, 546, 4270, 17131, 620, 463, 1493, 2847, 291, 630, 32, 31196, 1324, 26, 65, 4270, 17131, 620, 463, 9864, 1425, 546, 4270, 17131, 620, 26, 40, 490, 291, 630, 32, 5299, 463, 1943, 1176, 370, 546, 4270, 17131, 620, 463, 1943, 1814, 11025, 27, 291, 630, 32, 5299, 463, 9518, 1176, 370, 546, 4270, 17131, 620, 463, 9518, 1814, 11025, 27, 291, 630, 32, 5299, 463, 9518, 1176, 370, 546, 4270, 17131, 620, 463, 5842, 1814, 11025, 27, 291, 630, 32, 25839, 2521, 26, 65, 4270, 17131, 620, 463, 4108, 1814, 11025, 27, 291, 15974, 280, 546, 4270, 17131, 620, 463, 9518, 683, 291, 630, 32, 5299, 26, 34, 30, 15974, 32, 1516, 27 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 4, 5, 3, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 5, 4, 5, 4, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 3, 5, 3, 3, 5, 5, 5, 3, 3, 5, 3, 3, 5, 3, 3, 3, 5, 5, 3, 0, 2, 4, 4, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 5, 4, 5, 3, 3, 4, 4, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 9, 8, 5, 5, 8, 8, 8, 8, 9, 8, 5, 5, 8, 8, 8, 8, 10, 10, 5, 5, 8, 8, 8, 8, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 10, 10, 5, 5, 8, 9, 8, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 5, 5, 8, 9, 8, 9, 9, 8, 8, 9, 9, 9, 8, 8, 10, 10, 10, 5, 5, 8, 9, 8, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 8, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 11, 10, 8, 10, 10, 10, 10, 11, 10, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 11, 10, 8, 10, 10, 10, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 12, 12, 8, 10, 10, 5, 5, 8, 9, 9, 8, 10, 10, 10, 10, 10, 12, 12, 8, 9, 8, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 12, 12, 8, 9, 8, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 11, 10, 8, 10, 10, 10, 10, 10, 10, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 11, 10, 8, 10, 10, 10, 10, 12, 12, 5, 5, 8, 9, 9, 8, 10, 10, 10, 10, 10, 12, 12, 8, 10, 10, 10, 10, 11, 10, 5, 5, 8, 9, 8, 10, 10, 10, 8, 11, 11, 11, 11, 13, 13, 10, 8, 5, 5, 8, 9, 8, 10, 10, 10, 8, 11, 11, 11, 11, 13, 13, 10, 8, 5, 5, 8, 9, 8, 10, 10, 10, 8, 11, 11, 11, 11, 13, 13, 10, 8, 5, 5, 8, 9, 9, 8, 11, 11, 11, 11, 11, 13, 13, 10, 8, 5, 5, 7, 7, 9, 9, 9, 9, 11, 11, 5, 5, 8, 9, 8, 9, 8, 8, 9, 10, 8 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 7, 7, 7, 7, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 3, 3, 7, 3, 3, 3, 3, 3, 0, 0, 8, 8, 1, 1, 8, 8, 8, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1 ]

[ 1070, 6325, 1188, 766, 275, 617, 1521, 81, 311, 4742, 1247, 619, 1289, 81, 3592, 30, 766, 275, 617, 5074, 81, 28497, 81, 267, 30, 766, 275, 11246, 30, 766, 275, 47119, 81, 5691, 81, 267, 9841, 275, 7116, 81, 325, 9841, 275, 8158, 81, 267, 9841, 275, 8158, 81, 267, 81, 47020, 81, 7343, 203, 465, 6325, 203, 465, 5237, 203, 589, 665, 530, 444, 81, 15106, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 5704, 21254, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 7534, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 34959, 1364, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 829, 203, 589, 19367, 81, 3494, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 14107, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 829, 203, 589, 707, 28959, 81, 12977, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 5704, 21254, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 11115, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 7534, 370, 330, 1206, 5420, 810, 3500, 1425, 284, 829, 203, 589, 1905, 81, 748, 81, 23483, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 5704, 21254, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 11115, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 34959, 1364, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 5815, 1439, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 1449, 1199, 370, 330, 6438, 1023, 44, 6144, 646, 5420, 810, 3500, 1425, 284, 829, 203, 589, 10625, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 5704, 21254, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 11115, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 19577, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 1289, 81, 3592, 463, 5815, 1439, 370, 330, 1206, 5420, 810, 3500, 1425, 291, 829, 203, 589, 16371, 81, 6711, 1734, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 34959, 1364, 29, 978, 36871, 370, 330, 1347, 5398, 2193, 1425, 291, 1289, 81, 3592, 463, 34959, 1364, 29, 7773, 36871, 370, 330, 1347, 5398, 2193, 1425, 291, 829, 203, 589, 16371, 81, 16717, 26, 3359, 711, 284, 442, 617, 5074, 81, 28497, 81, 267, 26, 291, 2771, 30, 291, 1289, 81, 3592, 463, 14107, 370, 330, 1347, 5398, 2193, 1425, 291, 11246, 463, 34959, 1364, 370, 44091, 308, 43, 30, 225, 34, 30, 225, 34, 471, 400, 330, 3553, 4226, 225, 36, 34, 34, 39, 29, 438, 2129, 436, 16371 ]

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

[ 1, 1, 1, 1, 2, 1, 4, 4, 4, 4, 4, 2, 2, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 2, 1, 3, 3, 1, 2, 1, 3, 3, 1, 2, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 7, 9, 9, 9, 9, 5, 5, 7, 9, 9, 9, 7, 7, 9, 8, 8, 9, 8, 8, 9, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]

[ 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 18, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 465, 5237, 203, 1070, 894, 1188, 2193, 30, 1149, 81, 4882, 203, 823, 1682, 1006, 26, 668, 81, 4882, 32, 5240, 1006, 711, 284, 827, 36, 858, 280, 1149, 284, 665, 894, 81, 6390, 26, 784, 711, 291, 630, 32, 5299, 26, 668, 7486, 471, 11544, 291, 456, 34, 81, 37, 280, 428, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 79, 291, 456, 34, 81, 37, 81, 28367, 280, 1149, 26, 94, 34, 81, 37, 27, 291, 630, 32, 5299, 26, 94, 34, 81, 37, 30, 456, 34, 81, 37, 81, 28367, 27, 291, 630, 32, 6549, 26, 94, 34, 81, 37, 438, 646, 456, 34, 81, 37, 81, 28367, 27, 291, 630, 32, 5299, 26, 668, 4114, 471, 11544, 291, 630, 32, 5299, 26, 668, 1162, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 3662, 428, 34, 30, 225, 35, 30, 225, 36, 30, 225, 37, 1130, 291, 630, 32, 5299, 26, 668, 463, 1425, 11544, 291, 630, 32, 5299, 26, 668, 463, 35354, 1425, 2107, 101, 370, 330, 98, 370, 330, 83, 370, 330, 95, 3490, 291, 415, 5237, 32, 1449, 891, 610, 225, 34, 106, 41, 22499, 44, 324, 630, 32, 23895, 26, 5017, 924, 30, 1149, 30, 2155, 26, 3731, 32, 1449, 891, 434, 225, 36, 490, 291, 816, 280, 1605, 291, 816, 32, 8233, 3736, 107, 436, 533, 328, 816, 27, 291, 630, 32, 5299, 26, 106, 30, 11544, 284, 665, 894, 81, 22390, 26, 784, 711, 291, 2599, 922, 858, 81, 22390, 346, 291, 630, 32, 6549, 26, 1206, 11544, 291, 630, 32, 6549, 2009, 38, 36, 1130, 284, 665, 894, 81, 8543, 26, 784, 711, 291, 630, 32, 6549, 7486, 438, 646, 11544, 284, 665, 894, 81, 1657, 26, 784, 711, 291, 2599, 922, 858, 81, 1657, 346, 291, 630, 32, 5299, 26, 1657, 7486, 471, 225, 34, 27, 291, 630, 32, 5299, 26, 1657, 2009, 34, 5727, 225, 35, 27, 291, 630, 32, 5299, 26, 1657, 2009, 34, 30, 225, 35, 30, 225, 36, 5727, 225, 37, 27, 284, 665, 894, 81, 9642, 26, 784, 711, 291, 20265, 280, 428, 38, 30, 225, 39, 30, 225, 40, 30, 225, 41, 79, 291, 310, 280, 629, 1162, 3731, 32, 1449, 891, 28, 36, 29, 36, 27, 434, 2069, 26, 9980, 490, 291, 665, 17476, 26, 83, 30, 323, 711, 442, 312, 319, 323, 291, 665, 3960, 338, 26, 83, 30, 323, 711, 312, 10439, 323, 291, 630, 32, 23895, 1162, 5017, 924, 30, 35207, 924, 471, 17476, 30, 20265, 30, 310, 27, 291, 630, 32, 23895, 1162, 5017, 924, 30, 35207, 924, 471, 3960, 338, 30, 20265, 30, 310, 27, 203, 589, 894, 81, 1831, 26, 10529, 47, 2521, 711, 284, 2193, 32, 1945, 81, 18986, 26, 720, 1006, 27, 284, 1188, 5237, 284, 415, 9541, 461, 19326, 26, 3731, 30, 313, 371, 2999, 612, 998, 10280, 291, 1188, 16951, 291, 15172, 280, 428, 2521, 79, 319, 225, 39, 291, 436, 595, 328, 2155, 26, 1657, 26, 10410, 8531, 324, 2193, 32, 1945, 81, 18986, 26, 720, 1006, 27, 324 ]

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

[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 7, 4, 4, 7, 7, 7, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 7, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 11, 7, 4, 4, 7, 8, 7, 9, 9, 11, 11, 7, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 4, 4, 5, 7, 8, 8, 6, 6, 7, 7, 7, 7, 5, 5, 5, 9, 10, 9, 10, 10, 9, 9, 9, 9, 11, 14, 13, 14, 14, 12, 12, 13, 11, 4, 4, 6, 6, 4, 4, 7, 8, 7, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 4, 4, 7, 8, 7, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 11, 10, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 6, 6, 8, 14, 13, 14, 14, 12, 13, 11, 12, 10, 9, 9, 11, 12, 11, 4, 4, 5, 6, 7, 6, 6, 6, 5, 7, 8, 8, 4, 4, 5, 6, 6, 7, 6, 6, 6, 5, 8, 8, 4, 4, 7, 8, 7, 9, 9, 8, 8, 9, 8, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 8, 8, 9, 8, 7, 8, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 6, 6, 6, 5, 6, 6, 5, 2, 2, 3, 2, 2, 3, 4, 4, 6, 7, 6, 6, 8, 8, 8, 8, 8, 3, 3, 5, 4, 4, 6, 6, 9, 8, 7, 7, 8, 4, 4, 5, 5, 5, 7, 9, 9, 10, 9, 5, 5, 9, 10, 10, 10, 9, 10, 10, 9, 6 ]

[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 4, 4, 9, 0, 2, 2, 1, 1, 2, 2, 2, 2, 9, 9, 9, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 4, 4, 0, 0, 4, 4, 0, 2, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 3, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 4, 4, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 3, 3, 0, 0, 1, 0, 2, 2, 2, 3, 3, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 5 ]

[ 465, 20717, 203, 823, 8353, 32095, 5378, 26, 8183, 32, 1319, 3103, 2281, 711, 334, 665, 3611, 5584, 26, 6933, 711, 284, 5547, 81, 4890, 280, 7286, 23, 101, 505, 9436, 20, 904, 9011, 3667, 426, 505, 284, 442, 308, 6933, 3667, 426, 9818, 15990, 440, 5584, 657, 556, 324, 19326, 26, 6933, 30, 5547, 81, 4890, 490, 334, 665, 1156, 1664, 3207, 6933, 30, 636, 30, 26394, 30, 4533, 81, 2665, 711, 284, 20717, 32, 1319, 3103, 2281, 3667, 1664, 3207, 6933, 30, 636, 30, 26394, 30, 4533, 81, 2665, 27, 284, 415, 646, 9011, 32, 1622, 5584, 2262, 397, 436, 1695, 328, 26394, 44, 291, 1596, 44, 616, 9011, 32, 4820, 280, 1695, 32, 4820, 616, 9011, 32, 4820, 81, 1170, 81, 426, 280, 1695, 32, 4820, 81, 1170, 81, 426, 616, 9011, 32, 2796, 81, 3274, 280, 1695, 32, 2796, 81, 3274, 616, 9011, 32, 1393, 81, 2649, 81, 823, 280, 1695, 32, 1393, 81, 2649, 81, 823, 616, 1626, 291, 2940, 29316, 44, 616, 3097, 397, 1596, 44, 291, 415, 9011, 32, 4820, 461, 9011, 3667, 426, 505, 328, 9011, 32, 4820, 44, 616, 3636, 26405, 440, 18017, 4467, 436, 10416, 6015, 44, 904, 101, 30, 904, 101, 20, 904, 6035, 308, 6933, 30, 9011, 32, 4820, 77, 6933, 3667, 426, 505, 5259, 291, 9011, 32, 4820, 77, 6933, 3667, 426, 505, 79, 280, 9011, 291, 9011, 32, 4820, 81, 1170, 81, 426, 77, 32110, 26, 6933, 30, 313, 426, 392, 1665, 2177, 280, 9011, 397, 2940, 29316, 44, 291, 9011, 32, 4820, 280, 301, 6933, 3667, 426, 26927, 9011, 111, 291, 9011, 32, 4820, 81, 1170, 81, 426, 280, 301, 32110, 26, 6933, 30, 313, 426, 392, 1665, 711, 9011, 111, 291, 9011, 32, 2796, 81, 3274, 280, 9011, 3667, 426, 505, 291, 9011, 32, 1393, 81, 2649, 81, 823, 280, 9011, 284, 813, 44, 397, 436, 1695, 328, 26394, 44, 291, 1596, 44, 616, 9011, 32, 4820, 280, 1695, 32, 4820, 616, 9011, 32, 4820, 81, 1170, 81, 426, 280, 1695, 32, 4820, 81, 1170, 81, 426, 616, 1626, 291, 2940, 29316, 44, 616, 3097, 397, 415, 646, 19326, 26, 6933, 30, 313, 4820, 10280, 291, 9011, 32, 4820, 280, 2149, 397, 415, 646, 19326, 26, 6933, 30, 313, 4820, 81, 1170, 81, 426, 10280, 291, 9011, 32, 4820, 81, 1170, 81, 426, 280, 2149, 334, 665, 1390, 4152, 26, 6933, 30, 636, 711, 284, 442, 9011, 32, 4820, 77, 426, 79, 203, 823, 3903, 5378, 26, 3358, 32095, 5378, 711, 334, 8452, 81, 2474, 81, 5834, 280, 2149, 334, 8452, 69, 280, 1605, 334, 665, 1156, 1664, 3207, 6933, 30, 636, 30, 26394, 30, 4533, 81, 2665, 711, 284, 8353, 32095, 5378, 3667, 1664, 3207, 6933, 30, 636, 30, 26394, 30, 4533, 81, 2665, 27, 284, 415, 646, 9011, 32, 1622, 5584, 2262, 397, 436, 7050, 328, 9011, 32, 25459, 44, 291, 3903, 5378, 32, 8055, 81, 2474, 81, 5834, 32, 37329, 26, 5092, 30, 739, 4251, 669, 26, 6933, 27, 203, 823, 399, 1139, 38, 4055, 5378, 26, 3358, 32095, 5378, 711, 334, 506 ]

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

[ 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 4, 4, 5, 11, 10, 11, 11, 10, 9, 11, 11, 7, 7, 7, 9, 10, 9, 9, 10, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 7, 4, 4, 5, 6, 8, 9, 9, 8, 5, 5, 7, 7, 7, 7, 7, 7, 9, 9, 9, 13, 14, 12, 12, 13, 14, 10, 10, 13, 14, 14, 14, 14, 14, 12, 12, 13, 14, 14, 14, 14, 14, 10, 10, 13, 14, 14, 14, 12, 12, 13, 14, 14, 14, 10, 10, 13, 14, 14, 14, 14, 14, 12, 12, 13, 14, 14, 14, 14, 14, 10, 10, 9, 9, 10, 10, 10, 10, 6, 6, 7, 7, 7, 9, 11, 12, 10, 10, 12, 13, 13, 11, 11, 12, 13, 9, 9, 9, 11, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 14, 16, 15, 15, 17, 18, 16, 18, 17, 18, 18, 16, 8, 8, 12, 13, 11, 13, 12, 13, 13, 11, 10, 10, 8, 8, 12, 13, 13, 13, 13, 13, 11, 13, 13, 14, 13, 13, 15, 15, 13, 13, 10, 10, 7, 7, 8, 8, 8, 8, 12, 13, 11, 11, 15, 14, 15, 15, 13, 12, 9, 9, 12, 13, 13, 13, 13, 13, 11, 11, 15, 15, 16, 15, 15, 17, 17, 15, 15, 13, 12, 9, 9, 12, 13, 13, 13, 11, 11, 12, 13, 13, 9, 9, 12, 13, 13, 13, 13, 13, 11, 11, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10, 10, 14, 15, 13, 13, 14, 15, 11, 11, 14, 15, 15, 15, 15, 15, 13, 13, 14, 15, 15, 15, 15, 15, 11, 11, 10, 10, 11, 11, 11, 11, 7, 7, 8, 9, 11, 12, 11, 11, 13, 13, 8, 8, 12, 13, 11, 11, 7, 7, 8, 9, 11, 12, 11, 11, 13, 13, 13, 13, 13, 13, 8, 8, 12, 13, 13, 13, 13, 13, 11, 11, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 7, 6, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 7, 4, 4, 5, 6, 8, 9, 9, 8, 5, 5, 7, 7, 7, 8, 9, 7, 7, 7, 15, 14, 15, 15, 15, 15, 15, 13, 14, 13, 14, 13, 13, 15, 12, 11, 12, 11, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1 ]

[ 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 4, 4, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 3, 0, 2, 2, 2, 3, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 3, 3, 3, 3, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 2, 2, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 4, 4, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3 ]

[ 465, 2361, 203, 465, 5741, 203, 465, 2322, 203, 1070, 2361, 1188, 3398, 8770, 203, 1070, 5941, 2518, 32, 1163, 1188, 3649, 81, 1163, 203, 1070, 5941, 2518, 81, 4554, 1188, 18794, 5142, 4888, 203, 1070, 5941, 2518, 32, 3592, 1188, 21536, 203, 823, 11950, 8770, 26, 3265, 8770, 711, 284, 665, 1244, 26, 784, 30, 337, 711, 291, 442, 337, 3667, 2665, 505, 203, 589, 16469, 81, 1648, 26, 1648, 711, 284, 442, 5608, 2473, 2524, 26, 1648, 32, 2998, 36909, 2867, 36, 1130, 415, 1503, 438, 646, 1665, 813, 4247, 203, 589, 622, 6777, 26, 10447, 30, 1519, 47, 2521, 711, 284, 1188, 5237, 284, 415, 308, 500, 32, 983, 32, 4658, 26, 10447, 8531, 291, 5741, 32, 10579, 463, 3965, 2518, 1814, 1338, 26, 330, 7067, 330, 474, 11216, 27, 291, 442, 11216, 284, 15307, 280, 428, 500, 32, 23407, 463, 6961, 7143, 81, 43982, 370, 330, 5379, 12357, 284, 15307, 32, 8233, 2009, 500, 32, 983, 32, 2524, 26, 106, 1947, 5379, 683, 436, 816, 328, 5237, 32, 983, 415, 330, 3965, 2518, 25, 328, 816, 556, 4511, 308, 983, 438, 646, 1665, 461, 1519, 328, 816, 14829, 284, 436, 3668, 328, 15307, 44, 291, 537, 23490, 289, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 1850, 30, 11216, 490, 291, 415, 2322, 32, 983, 32, 4658, 26, 890, 23490, 289, 711, 324, 5741, 32, 10579, 463, 3965, 2518, 1814, 1338, 26, 330, 7067, 330, 474, 537, 23490, 289, 27, 324, 442, 537, 23490, 289, 203, 589, 6571, 81, 1536, 81, 2810, 26, 7428, 81, 8299, 711, 284, 442, 301, 93, 44, 104, 710, 1536, 853, 785, 436, 831, 30, 104, 328, 4212, 81, 8299, 32, 40957, 346, 415, 330, 1536, 853, 25, 328, 354, 111, 203, 823, 5412, 1653, 44, 284, 3048, 280, 1665, 284, 636, 280, 1665, 284, 827, 280, 1665, 284, 7373, 280, 1665, 284, 3395, 280, 1665, 284, 5750, 280, 1665, 284, 2078, 280, 1665, 284, 786, 280, 1665, 284, 2471, 280, 1665, 284, 21252, 1363, 280, 3177, 284, 1541, 280, 3177, 284, 4283, 280, 3177, 284, 22998, 47, 3177, 284, 1541, 681, 280, 1665, 284, 1244, 853, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 636, 26409, 827, 26409, 7373, 47, 2521, 30, 3395, 47, 2521, 30, 3048, 47, 2521, 30, 353, 2471, 47, 2521, 30, 786, 47, 2521, 30, 2078, 47, 2521, 30, 5750, 47, 2521, 30, 1541, 47, 2700, 30, 4283, 47, 2700, 30, 39526, 47, 1815, 30, 353, 1541, 681, 47, 2521, 30, 12436, 1363, 47, 2700, 30, 1536, 853, 280, 1665, 30, 1017, 11676, 1734, 47, 2700, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 681, 280, 827, 291, 630, 32, 14663, 280, 7373, 291, 630, 32, 5609, 280, 3395, 291, 630, 32, 2310, 280, 3048, 291, 630, 32, 5275, 280, 5750, 291, 630, 32, 2810, 280, 2078, 291, 630, 32, 853, 280, 786, 291, 630, 32, 11722, 280, 2471, 291, 630, 32, 1251, 280, 1541, 291, 630, 32, 12360, 280, 4283, 291, 630, 32, 39526, 280, 22998, 291, 630, 32 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 8, 7, 6, 10, 9, 10, 9, 7, 9, 7, 4, 4, 5, 5, 5, 4, 4, 0, 1, 1, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 2, 2, 3, 8, 7, 8, 6, 7, 6, 7, 6, 3, 3, 9, 10, 9, 11, 11, 11, 8, 7, 7, 10, 10, 8, 8, 7, 4, 4, 5, 2, 2, 4, 4, 8, 7, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 2, 2, 5, 6, 5, 10, 9, 10, 8, 9, 8, 9, 8, 10, 10, 6, 7, 7, 7, 8, 9, 6, 7, 11, 11, 11, 9, 9, 8, 8, 8, 12, 11, 11, 11, 10, 10, 11, 11, 9, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 10, 10, 10, 4, 4, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 5, 5, 11, 12, 11, 13, 13, 13, 10, 9, 9, 12, 12, 10, 10, 11, 11, 9, 6, 6, 7, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 6, 5, 7, 6, 8, 8, 8, 4, 5, 6, 7, 5, 5, 8, 8, 7, 8, 7, 4, 5, 8, 8, 8, 6, 6, 4, 0, 1, 1, 2, 1, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 5, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 6, 5, 6, 4, 4, 4, 6, 5, 6, 4, 6, 6, 5, 6, 4, 6, 6, 5, 5, 4, 6, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 1, 2, 7, 7, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 9, 9, 1, 2, 1, 2, 2, 3, 2, 2, 9, 9, 0, 4, 4, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 2, 1, 3, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 3, 1, 1, 2, 1, 1, 1, 0, 11, 11, 1, 11, 11, 11, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 15, 1, 1, 1, 2, 2, 3, 2, 5, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 2, 17, 2, 2, 2, 19, 2, 2, 2, 21, 2, 2, 2, 23, 2, 2, 0, 25, 2, 2, 2, 2, 0, 27, 2, 2, 0, 0, 29, 2, 2, 0, 0, 31, 31, 2, 0, 0, 0, 33, 2, 2, 15, 15, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0 ]

[ 465, 15798, 203, 1070, 32714, 107, 32, 3550, 1188, 3772, 2963, 203, 1070, 32714, 107, 32, 2304, 32, 2957, 1188, 1968, 81, 2292, 81, 668, 30, 39529, 81, 452, 81, 2665, 203, 823, 5238, 1722, 720, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1832, 81, 2665, 26, 784, 711, 291, 343, 280, 5053, 658, 950, 225, 35, 30, 330, 8268, 950, 1665, 30, 330, 12192, 950, 225, 42, 30, 330, 17483, 950, 225, 38, 111, 291, 630, 32, 5299, 26, 1832, 81, 2292, 81, 668, 26, 86, 30, 4483, 47, 5962, 816, 44, 816, 471, 656, 2107, 658, 370, 330, 17483, 370, 330, 12192, 3490, 284, 665, 894, 81, 21752, 81, 14600, 81, 1832, 81, 2665, 26, 784, 711, 291, 1695, 280, 5053, 658, 950, 225, 35, 30, 330, 8268, 950, 225, 36, 30, 330, 12192, 950, 225, 37, 30, 330, 21929, 950, 225, 39, 30, 330, 25931, 950, 1665, 111, 291, 3115, 280, 5053, 8268, 950, 1665, 30, 330, 12192, 950, 225, 42, 30, 330, 17483, 950, 225, 38, 111, 291, 630, 32, 5299, 26, 1832, 81, 2292, 81, 668, 26, 1439, 30, 3115, 30, 13588, 4483, 47, 5962, 816, 44, 816, 471, 656, 2107, 658, 370, 330, 17483, 370, 330, 21929, 370, 330, 12192, 3490, 284, 665, 894, 81, 601, 81, 668, 26, 784, 711, 291, 3115, 280, 2107, 83, 370, 330, 84, 370, 330, 85, 785, 291, 630, 32, 5299, 26, 1832, 81, 2292, 81, 668, 26, 2521, 30, 3115, 30, 13588, 4483, 47, 5962, 816, 44, 816, 471, 656, 3115, 27, 284, 665, 894, 81, 1110, 81, 2665, 26, 784, 711, 291, 3115, 280, 5053, 658, 950, 225, 35, 30, 330, 8268, 950, 225, 36, 30, 330, 12192, 950, 225, 37, 111, 291, 630, 32, 5299, 26, 1832, 81, 2292, 81, 668, 15266, 3115, 30, 13588, 4483, 47, 5962, 816, 44, 816, 32, 7607, 6182, 656, 2107, 4431, 370, 330, 36412, 370, 330, 1781, 7722, 3490, 284, 665, 894, 81, 1110, 81, 668, 26, 784, 711, 291, 3115, 280, 2107, 83, 370, 330, 84, 370, 330, 85, 785, 291, 630, 32, 5299, 26, 1832, 81, 2292, 81, 668, 26, 2521, 30, 3115, 30, 13588, 9254, 816, 44, 816, 32, 7607, 6182, 656, 2107, 51, 370, 330, 52, 370, 330, 53, 3490, 284, 665, 894, 81, 19992, 81, 3527, 81, 266, 81, 2665, 26, 784, 711, 291, 12843, 81, 2665, 280, 5053, 658, 950, 225, 35, 30, 330, 8268, 950, 225, 36, 30, 330, 4431, 950, 225, 38, 111, 291, 630, 32, 23895, 26, 22239, 30, 1968, 81, 2292, 81, 668, 30, 6663, 12843, 81, 2665, 30, 3775, 4483, 47, 5962, 816, 44, 816, 32, 5729, 1157, 284, 665, 894, 81, 19992, 81, 3527, 81, 266, 81, 668, 26, 784, 711, 291, 12843, 81, 668, 280, 2107, 83, 370, 330, 84, 370, 330, 83, 785, 291, 630, 32, 23895, 26, 22239, 30, 1968, 81, 2292, 81, 668, 30, 1665, 30, 3775, 12843, 81, 668, 30, 4483, 47, 5962, 816, 44, 816, 27, 284, 665, 894, 81, 19992, 81, 3527, 81, 266, 81, 1439, 3550, 26, 784 ]

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

[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 8, 9, 7, 7, 10, 10, 8, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 9, 10, 11, 11, 11, 11, 9, 7, 7, 10, 10, 8, 10, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 7, 4, 4, 6, 6, 10, 10, 8, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 9, 7, 7, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 11, 11, 11, 11, 13, 14, 13, 7, 7, 10, 10, 8, 10, 10, 8, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 10, 10, 10, 12, 13, 12, 7, 7, 10, 10, 8, 10, 10, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 8, 8, 7, 7, 7, 8, 8, 7, 7, 7, 8, 9, 9, 9, 9, 11, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 8, 8, 7, 7, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5 ]

[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 2, 2, 2, 1, 2, 7, 2, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 2, 4, 4, 0, 0, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 7, 7, 1, 1, 1, 9, 2, 2, 2, 2, 0, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 7, 7, 1, 1, 9, 2, 2, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1 ]

[ 465, 2361, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 30, 3139, 17696, 3665, 203, 465, 343, 2632, 203, 1070, 1359, 81, 3378, 32, 3378, 1188, 3320, 203, 1070, 46583, 81, 14250, 32, 3378, 1188, 1593, 5041, 5392, 2324, 203, 50, 583, 102, 32, 583, 102, 203, 823, 1593, 5041, 5392, 1006, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 74, 5041, 5392, 1006, 30, 630, 547, 23741, 346, 291, 1596, 44, 324, 630, 32, 965, 280, 10156, 463, 3078, 2167, 81, 5866, 683, 291, 2940, 3139, 17696, 3665, 44, 324, 630, 32, 5961, 1006, 463, 3078, 2167, 81, 5866, 3834, 438, 646, 9577, 683, 291, 3320, 32, 3815, 346, 284, 665, 894, 81, 3078, 2167, 81, 5866, 81, 7073, 26, 784, 711, 291, 630, 1114, 7799, 26, 2700, 27, 291, 1789, 280, 630, 1114, 944, 81, 1637, 346, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 38, 34, 38, 27, 284, 477, 583, 102, 32, 605, 26, 2521, 30, 2107, 264, 330, 614, 2107, 5769, 330, 330, 1130, 284, 665, 894, 81, 3078, 2167, 81, 5866, 81, 6565, 81, 1347, 81, 27421, 26, 784, 30, 33977, 711, 291, 630, 1114, 7799, 26, 1815, 30, 33977, 47, 27421, 27, 291, 1789, 280, 630, 1114, 944, 81, 1637, 346, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 38, 34, 38, 27, 284, 477, 583, 102, 32, 605, 26, 291, 308, 710, 2763, 32, 508, 2188, 2107, 2763, 32, 508, 16578, 291, 308, 710, 2763, 32, 508, 370, 330, 1113, 32, 2763, 32, 508, 2188, 2107, 2763, 32, 508, 370, 330, 1113, 32, 2763, 32, 508, 16578, 291, 308, 710, 261, 2280, 32, 508, 264, 330, 614, 2107, 2763, 32, 508, 16578, 291, 308, 710, 262, 5769, 330, 2763, 32, 508, 2188, 2107, 2763, 32, 508, 16578, 284, 829, 284, 477, 583, 102, 32, 15404, 284, 665, 894, 81, 3078, 2167, 81, 5866, 81, 6565, 81, 1793, 81, 27421, 26, 784, 30, 33977, 30, 2799, 81, 27421, 711, 291, 630, 1114, 7799, 26, 1815, 30, 33977, 47, 27421, 27, 291, 1789, 280, 630, 1114, 944, 81, 1637, 346, 291, 630, 1114, 1553, 81, 27421, 26, 1986, 30, 2799, 81, 27421, 27, 284, 665, 617, 7799, 26, 784, 30, 438, 81, 6565, 30, 33977, 47, 2521, 711, 291, 1359, 280, 1593, 5041, 5392, 2324, 32, 1700, 346, 291, 1359, 32, 6565, 280, 438, 81, 6565, 291, 415, 33977, 44, 324, 1359, 32, 27421, 280, 2706, 96, 2296, 2524, 26, 27421, 27, 291, 1359, 32, 2853, 346, 291, 3320, 32, 3815, 346, 284, 665, 617, 944, 81, 1637, 26, 784, 711, 291, 442, 630, 32, 1580, 32, 371, 26, 9833, 463, 3078, 2167, 81, 5866, 2847, 284, 665, 617, 1553, 81, 27421, 26, 784, 30, 1789, 30, 2799, 81, 27421, 711, 291, 14380, 81, 27421, 280, 2361, 32, 16958, 1371, 324, 5880, 44, 32448, 324, 436, 5880, 328, 2799, 81, 27421, 291, 1790, 291, 630, 32, 45100, 26, 1986, 30, 330, 3078, 2167, 32, 887 ]

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

[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 2, 4, 4, 3, 4, 4, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 4, 5, 6, 5, 4, 4, 10, 11, 11, 11, 11, 10, 10, 10, 9, 8, 5, 5, 6, 6, 6, 10, 11, 9, 9, 11, 13, 13, 13, 13, 13, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 5, 5, 8, 9, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 9, 8, 5, 5, 7, 7, 9, 10, 10, 10, 9, 5, 5, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 9, 9, 8, 3, 3, 8, 8, 7, 8, 7, 8, 7, 7, 10, 10, 8, 7, 10, 8, 10, 8, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 9, 10, 9, 10, 9, 9, 10, 11, 9, 6, 6, 8, 8, 10, 11, 11, 11, 10, 6, 6, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 10, 10, 9, 3, 3, 8, 8, 7, 8, 7, 7, 7, 9, 11, 11, 11, 11, 8, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 7, 7, 9, 11, 11, 11, 11, 11, 11, 9, 8, 11, 11, 11, 11, 7, 7, 9, 11, 11, 9, 11, 11, 11, 11, 8, 11, 11, 11, 11, 7, 7, 4, 4, 7, 7, 6, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 7, 6, 5, 5, 9, 10, 9, 10, 9, 9, 10, 11, 9, 6, 6, 8, 8, 10, 11, 11, 11, 10, 6, 6, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 9, 3, 3, 4, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 7, 5, 4, 4, 7, 7, 10, 10, 10, 9, 10, 9, 5, 5, 8, 9, 7, 7, 8, 8, 5, 5, 6, 6, 6, 6, 10, 11, 9, 9, 14, 13, 12, 11, 12, 11, 5, 5, 8, 9, 8, 5, 5, 8, 9, 8, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 10, 8, 9, 8, 10, 10, 12, 12, 12, 12, 12, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 5, 4, 4, 8, 8, 7, 7, 9, 10, 9, 10, 10, 11, 11, 10, 10, 11, 11, 11, 12, 12, 10, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10 ]

[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 6, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 3, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 1, 1, 3, 3, 0, 0, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 6, 6, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1277, 21329, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 9101, 81, 639, 81, 2468, 203, 4021, 81, 2310, 44, 4784, 8522, 562, 4600, 2965, 43330, 544, 3940, 7578, 3113, 4122, 48593, 32, 203, 2310, 44, 284, 429, 4404, 870, 101, 461, 4653, 1196, 312, 562, 4600, 372, 600, 3497, 556, 2074, 32, 35307, 372, 2330, 397, 5183, 458, 438, 646, 600, 6107, 36477, 304, 1476, 30, 1259, 526, 3654, 372, 1755, 397, 3700, 1247, 1476, 458, 1412, 390, 26, 1293, 47, 2689, 27, 203, 1648, 81, 11043, 44, 330, 36, 32, 34, 25, 203, 2116, 44, 284, 429, 313, 35105, 1575, 624, 271, 100, 464, 11931, 86, 1373, 25856, 100, 464, 4731, 284, 429, 313, 24511, 1309, 488, 7776, 11931, 575, 775, 4731, 203, 2184, 44, 334, 4749, 81, 2468, 44, 284, 3048, 44, 397, 429, 5056, 4600, 2965, 32, 397, 429, 11526, 415, 390, 26, 1293, 47, 3596, 304, 27, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 5880, 44, 284, 3048, 44, 397, 429, 14063, 322, 4600, 2965, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 3984, 44, 284, 3048, 44, 397, 429, 8159, 322, 4600, 2965, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 43290, 44, 284, 3048, 44, 397, 429, 33545, 322, 4600, 2965, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 1503, 81, 11043, 44, 313, 36, 32, 36, 20, 334, 3497, 44, 284, 3048, 44, 397, 429, 9035, 322, 4600, 2965, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 2074, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 2074, 322, 4600, 2965, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 10790, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 10790, 328, 1510, 322, 4600, 2965, 438, 328, 32, 397, 429, 1670, 646, 739, 30, 1244, 10790, 438, 1654, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 17850, 81, 4396, 44, 284, 3048, 44, 397, 429, 30779, 2498, 13179, 6222, 3992, 1401, 11281, 32, 284, 2129, 44, 901, 284, 1244, 44, 861, 203, 9971, 81, 10270, 81, 9854, 44, 8668, 3034, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 20617, 332, 600, 4600, 2965, 16526, 40719, 1247, 203, 31, 2196, 81, 1141, 44, 284, 2297, 44, 9101, 81, 639, 81, 2468, 284, 3984, 44, 4300, 8159, 334, 3909, 44, 4749, 81, 2468, 334, 1412, 44, 1980, 32, 923, 81, 639, 438, 3469, 203, 21, 3645, 30168, 600, 4600, 2965, 203, 31, 2196, 81, 1141, 44, 284, 2297, 44, 9101, 81, 639, 81, 2468, 284, 4749, 81, 2468, 44, 225, 35, 32, 36, 32, 37, 32, 38, 284, 1603, 44, 40118, 203, 9592, 203, 10934, 280, 5881, 203, 1559, 203, 314, 44, 334, 3048, 44, 14294, 432, 322, 5056, 4600, 2965, 32, 334, 4717, 44, 3117, 334, 827, 44, 802, 334, 3964, 44, 312, 40, 88, 41, 83, 39, 3499, 31, 38, 37, 88, 42, 31, 35, 35, 87, 39, 31, 83, 35, 39 ]

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

[ 1, 1, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1070, 46512, 7550, 32, 12704, 81, 17055, 1188, 3619, 4071, 2219, 203, 589, 2575, 2262, 334, 17821, 280, 3619, 4071, 2219, 32, 17766, 440, 23416, 83, 657, 334, 16341, 280, 428, 17055, 32, 1428, 1881, 26, 34, 30, 225, 43, 30, 313, 7118, 22259, 91, 12032, 904, 595, 27, 436, 595, 328, 2155, 26, 34, 30, 225, 35, 34, 2177, 334, 399, 30, 551, 30, 390, 30, 475, 30, 516, 30, 506, 30, 570, 30, 677, 30, 439, 30, 971, 280, 16341, 334, 358, 100, 35, 280, 17821, 32, 1428, 1881, 26, 34, 30, 225, 35, 30, 313, 27429, 35, 657, 334, 358, 100, 36, 280, 17821, 32, 1428, 1881, 26, 34, 30, 225, 35, 30, 313, 27429, 36, 657, 334, 17821, 32, 1103, 26, 17055, 32, 1934, 31187, 26, 7118, 490, 334, 17821, 32, 1103, 26, 52, 2377, 225, 35, 27, 334, 17821, 32, 1103, 26, 54, 2377, 225, 35, 27, 334, 17821, 32, 1103, 26, 57, 2377, 225, 35, 27, 334, 17821, 32, 1103, 26, 51, 474, 225, 35, 34, 319, 516, 474, 225, 35, 34, 34, 319, 971, 474, 225, 35, 34, 34, 34, 319, 551, 474, 225, 35, 34, 34, 34, 34, 319, 551, 474, 225, 35, 34, 34, 34, 34, 34, 319, 516, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 506, 474, 1802, 516, 474, 225, 35, 34, 319, 971, 474, 225, 35, 34, 34, 319, 516, 474, 225, 35, 34, 34, 34, 319, 506, 474, 225, 35, 34, 34, 34, 34, 319, 570, 474, 225, 35, 34, 34, 34, 34, 34, 319, 399, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 506, 1802, 610, 506, 474, 225, 35, 34, 319, 516, 474, 225, 35, 34, 34, 319, 516, 474, 225, 35, 34, 34, 34, 319, 677, 474, 225, 35, 34, 34, 34, 34, 319, 439, 474, 225, 35, 34, 34, 34, 34, 34, 319, 506, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 551, 474, 225, 35, 34, 34, 34, 34, 34, 34, 34, 319, 358, 100, 35, 27, 334, 17821, 32, 1103, 26, 53, 474, 225, 35, 34, 319, 506, 474, 225, 35, 34, 34, 319, 677, 474, 225, 35, 34, 34, 34, 319, 399, 474, 225, 35, 34, 34, 34, 34, 319, 439, 474, 225, 35, 34, 34, 34, 34, 34, 319, 439, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 971, 474, 1802, 506, 474, 225, 35, 34, 319, 439, 474, 225, 35, 34, 34, 319, 551, 474, 225, 35, 34, 34, 34, 319, 475, 474, 225, 35, 34, 34, 34, 34, 319, 439, 474, 225, 35, 34, 34, 34, 34, 34, 319, 475, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 390, 474, 358, 100, 35, 1802, 610, 971, 474, 225, 35, 34, 319, 506, 474, 225, 35, 34, 34, 319, 399, 474, 225, 35, 34, 34, 34, 319, 506, 474, 225, 35, 34, 34, 34, 34, 319, 677, 474, 225, 35, 34, 34, 34, 34, 34, 319, 475, 474, 225, 35, 34, 34, 34, 34, 34, 34, 319, 475, 474 ]

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

[ 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 4, 4, 7, 7, 6, 7, 6, 8, 8, 8, 2, 2, 4, 4, 8, 7, 8, 8, 7, 8, 7, 7, 8, 7, 7, 10, 10, 10, 10, 8, 8, 7, 5, 6, 6, 6, 8, 9, 8, 8, 9, 9, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 7, 6, 6, 7, 6, 6, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 7, 6, 6, 7, 6, 6, 8, 8, 8, 2, 2, 5, 6, 5, 8, 7, 8, 8, 7, 8, 7, 2, 2, 5, 6, 5, 7, 6, 6, 7, 5, 2, 2, 5, 6, 5, 7, 6, 6, 7, 5, 2, 2, 5, 6, 5, 7, 6, 6, 7, 5, 2, 2, 5, 6, 5, 20, 19, 19, 21, 21, 20, 20, 18, 18, 20, 20, 20, 19, 19, 17, 17, 19, 19, 19, 19, 18, 18, 16, 16, 18, 18, 18, 18, 18, 17, 17, 15, 15, 17, 17, 17, 17, 17, 17, 16, 16, 14, 14, 16, 16, 16, 16, 16, 16, 16, 15, 15, 13, 13, 13, 12, 12, 14, 14, 13, 13, 11, 11, 13, 13, 13, 12, 12, 10, 10, 12, 12, 12, 12, 11, 11, 9, 9, 11, 11, 11, 11, 11, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 8, 8, 6, 6, 6, 13, 13, 15, 15, 14, 14, 12, 12, 14, 14, 14, 13, 13, 11, 11, 13, 13, 13, 13, 12, 12, 10, 10, 12, 12, 12, 12, 12, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 5, 2, 2, 5, 6, 5, 21, 20, 20, 22, 22, 21, 21, 19, 19, 21, 21, 21, 20, 20, 18, 18, 20, 20, 20, 20, 19, 19, 17, 17, 19, 19, 19, 19, 19, 18, 18, 16, 16, 18, 18, 18, 18, 18, 18, 17, 17, 15, 15, 17, 17, 17, 17, 17, 17, 17, 16, 16, 14, 14, 14, 13, 13, 15, 15, 14, 14, 12, 12, 14, 14, 14, 13, 13, 11, 11, 13, 13, 13, 13, 12, 12, 10, 10, 12, 12, 12, 12, 12, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 9, 9, 7, 7, 8, 8, 6, 6, 6, 13, 13, 15, 15, 14, 14, 12, 12, 14, 14, 14, 13, 13, 11, 11, 13, 13, 13, 13, 12, 12, 10, 10, 12, 12, 12, 12, 12, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 9, 9, 7 ]

[ 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 5, 5, 1, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2 ]

[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 296, 31501, 203, 465, 3995, 203, 1070, 296, 31501, 32, 2304, 1188, 3995, 81, 800, 203, 1070, 296, 31501, 32, 21143, 1188, 2467, 81, 3734, 203, 1070, 5097, 98, 1978, 32, 12892, 32, 27357, 32, 14431, 81, 3038, 32, 14431, 81, 3038, 1188, 622, 81, 7948, 81, 3038, 81, 25478, 270, 81, 10969, 203, 1070, 5097, 98, 1978, 32, 12892, 32, 27357, 32, 7948, 81, 3038, 32, 7948, 81, 3038, 1188, 622, 81, 7948, 81, 3038, 203, 1070, 296, 31501, 32, 2304, 32, 2682, 81, 3855, 1188, 622, 81, 3855, 203, 1070, 5097, 98, 1978, 32, 12892, 32, 27357, 32, 7948, 81, 1357, 32, 7948, 81, 1357, 1188, 1930, 81, 7948, 81, 1357, 30, 1930, 81, 7948, 81, 3038, 203, 1070, 5097, 98, 1978, 32, 6380, 32, 496, 32, 13497, 1188, 1930, 81, 13497, 81, 1174, 203, 1070, 5097, 98, 1978, 32, 10599, 299, 32, 27357, 32, 13497, 81, 1174, 32, 13497, 81, 1174, 1188, 1930, 81, 13497, 81, 10969, 203, 1070, 5097, 98, 1978, 32, 9729, 32, 27357, 32, 15735, 81, 17972, 32, 15735, 81, 17972, 1188, 1930, 81, 15735, 81, 10969, 203, 589, 1389, 2262, 203, 202, 48020, 32, 470, 81, 496, 26, 48020, 32, 1199, 32, 371, 81, 3264, 463, 6380, 81, 12892, 81, 496, 2847, 203, 202, 325, 3995, 32, 3855, 346, 2511, 225, 34, 32, 40, 44, 357, 202, 3734, 280, 313, 20663, 18902, 372, 526, 551, 12088, 20, 357, 202, 979, 1259, 328, 1149, 26, 470, 2009, 100, 77, 34, 79, 436, 540, 328, 2467, 81, 3734, 32, 1945, 26, 3734, 47979, 1267, 1446, 603, 202, 325, 540, 77, 34, 79, 19, 347, 4754, 23821, 2867, 3855, 32, 21378, 26, 35, 30, 225, 39, 2177, 44, 355, 202, 1270, 44, 603, 202, 3434, 280, 296, 31501, 32, 371, 81, 1427, 26, 2682, 81, 13497, 81, 10969, 26, 762, 490, 603, 202, 3434, 32, 1526, 299, 81, 770, 280, 296, 31501, 32, 4545, 32, 1700, 81, 770, 603, 202, 979, 343, 328, 7065, 32, 371, 440, 3028, 10280, 577, 202, 325, 646, 343, 32, 24022, 81, 3524, 44, 1379, 202, 86, 32, 24022, 81, 3524, 280, 313, 14837, 429, 16531, 1643, 26, 48020, 32, 1199, 32, 371, 81, 853, 463, 12309, 370, 7065, 32, 6604, 30, 330, 24312, 2847, 603, 202, 3434, 32, 3215, 346, 603, 202, 3434, 32, 4737, 346, 603, 202, 48020, 32, 1199, 32, 3375, 346, 355, 202, 7343, 296, 31501, 32, 24536, 44, 603, 202, 4617, 203, 202, 325, 3995, 32, 3855, 346, 2511, 225, 34, 32, 40, 44, 357, 202, 3734, 280, 313, 10916, 18902, 372, 526, 551, 12088, 20, 357, 202, 979, 1148, 328, 1149, 26, 470, 2009, 100, 77, 34, 79, 436, 540, 328, 2467, 81, 3734, 32, 1945, 26, 3734, 47979, 1267, 1446, 355, 202, 325, 540, 77, 34, 79, 19, 347, 4754, 23821, 2867, 3855, 32, 21378, 26, 35, 30, 225, 39, 2177, 44, 355, 202, 1270, 44, 603, 202, 1295, 280, 296, 31501, 32, 371, 81, 1427, 26, 2682, 81, 15735, 81, 10969, 26, 777, 490, 603 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 1, 1, 6, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 3, 6, 7, 6, 4, 4, 5, 5, 5, 3, 3, 3, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 8, 10, 10, 13, 12, 13, 12, 11, 12, 12, 12, 16, 16, 15, 16, 15, 16, 15, 15, 15, 11, 11, 12, 12, 14, 15, 14, 13, 13, 15, 15, 6, 10, 9, 10, 9, 10, 9, 9, 10, 9, 5, 5, 5, 7, 7, 7, 7, 11, 10, 10, 13, 12, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 15, 14, 8, 8, 12, 11, 12, 12, 12, 12, 10, 10, 13, 12, 13, 11, 12, 12, 12, 8, 8, 9, 9, 9, 9, 11, 12, 11, 13, 13, 9, 9, 11, 11, 12, 13, 14, 14, 14, 11, 11, 11, 16, 15, 16, 16, 16, 14, 14, 18, 18, 18, 17, 16, 20, 19, 20, 18, 19, 19, 19, 18, 20, 20, 18, 19, 20, 18, 18, 20, 20, 8, 8, 12, 11, 12, 11, 8, 8, 12, 11, 12, 11, 8, 8, 13, 12, 13, 11, 12, 11, 7, 7, 8, 8, 10, 9, 10, 8, 8, 8, 10, 2, 2, 3, 3, 6, 7, 6, 4, 4, 5, 5, 5, 3, 3, 3, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 8, 10, 10, 13, 12, 13, 12, 11, 12, 12, 12, 16, 16, 15, 16, 15, 16, 15, 15, 15, 11, 11, 12, 12, 14, 15, 14, 13, 13, 15, 15, 6, 10, 9, 10, 9, 10, 9, 9, 10, 9, 5, 5, 5, 7, 7, 7, 7, 11, 10, 10, 13, 12, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 15, 14, 8 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 4, 4, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 0, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 0, 0, 0, 10, 10, 0, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 10, 10, 0, 0, 0, 0, 0, 11, 11, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 11, 11, 0, 0, 0, 0, 0, 12, 12, 2, 12, 12, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 2, 0, 1, 1, 1, 2, 3, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 3, 3, 0, 1, 2, 3, 3, 3, 0, 4, 4, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 0, 2, 0, 1, 1, 1, 2, 3, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2 ]

[ 465, 2322, 203, 465, 316, 203, 1070, 622, 4617, 1188, 622, 4617, 203, 465, 14465, 203, 1070, 3619, 10185, 1188, 22158, 203, 465, 6985, 3922, 203, 465, 594, 41473, 983, 203, 589, 1420, 2262, 284, 6274, 280, 2149, 284, 1459, 440, 19016, 372, 322, 6274, 4726, 6389, 32, 1670, 30, 821, 1346, 3111, 30, 844, 5438, 14227, 313, 474, 616, 313, 1206, 372, 6612, 322, 8843, 2471, 30, 2258, 8977, 330, 6545, 25, 623, 312, 313, 474, 616, 313, 5006, 1600, 372, 4036, 7144, 284, 665, 4281, 81, 1357, 26, 869, 30, 5063, 1881, 30, 5063, 1612, 47, 2521, 711, 291, 1509, 280, 5081, 81, 1131, 26, 6008, 1881, 474, 10685, 7788, 291, 415, 1509, 44, 324, 415, 5063, 1612, 44, 400, 1509, 280, 5063, 1612, 26, 1131, 27, 324, 6274, 77, 869, 79, 280, 1509, 284, 4281, 81, 1357, 463, 2232, 81, 426, 370, 330, 3472, 636, 683, 284, 4281, 81, 1357, 463, 2135, 81, 426, 370, 330, 3267, 636, 683, 284, 1459, 5528, 96, 60, 41473, 5251, 1370, 570, 2200, 372, 3240, 15873, 32, 35454, 30, 313, 474, 616, 313, 9619, 883, 7116, 458, 3111, 308, 271, 2258, 5318, 328, 322, 4096, 2965, 415, 844, 313, 474, 616, 313, 13454, 372, 7768, 4096, 15873, 27, 461, 4705, 312, 17447, 14474, 313, 474, 616, 313, 3524, 30, 619, 821, 1913, 555, 40931, 2250, 32, 933, 32, 716, 33, 10270, 5681, 474, 616, 313, 12279, 7238, 2200, 14474, 5327, 96, 657, 284, 4281, 81, 1357, 463, 7253, 81, 2468, 370, 330, 57, 2200, 2965, 683, 284, 6274, 710, 7253, 81, 2895, 785, 280, 622, 4617, 346, 284, 665, 5063, 81, 2171, 26, 101, 711, 291, 442, 316, 32, 1113, 26, 100, 25, 12456, 34, 31, 43, 16249, 2550, 309, 27, 284, 9836, 81, 2171, 280, 5063, 81, 2171, 26, 1294, 81, 1131, 5528, 96, 7457, 1451, 308, 1347, 10769, 313, 474, 10631, 313, 687, 547, 6204, 9499, 4279, 556, 13922, 1098, 313, 474, 10631, 313, 864, 6556, 436, 844, 44, 29450, 284, 6274, 710, 5452, 81, 2171, 785, 280, 9836, 81, 2171, 284, 1459, 5528, 96, 7457, 42983, 308, 979, 11926, 1344, 15873, 547, 657, 284, 1459, 440, 2797, 844, 1159, 312, 15449, 9836, 1451, 30, 844, 883, 6612, 1591, 432, 322, 313, 474, 616, 313, 29206, 44, 330, 722, 24, 70, 370, 330, 4303, 425, 267, 370, 330, 70, 31, 11355, 25, 308, 12655, 322, 22002, 547, 313, 474, 616, 313, 2797, 1370, 42983, 7735, 1330, 14021, 556, 844, 1159, 600, 39262, 313, 474, 616, 313, 2171, 30, 1983, 372, 1913, 555, 1499, 32, 1935, 878, 6286, 32, 508, 461, 6612, 322, 313, 474, 616, 313, 1935, 12809, 436, 1370, 42983, 308, 87, 32, 89, 4317, 436, 676, 44738, 16966, 30, 6612, 313, 474, 616, 5335, 104, 775, 1551, 32, 508, 920, 436, 394, 31, 11355, 44796, 30, 6612, 330, 102, 31, 86, 35, 31, 19432, 32, 286, 1814, 657, 284, 42983, 280, 5081, 81, 1131, 463, 43514, 44, 11134, 284, 415, 42983, 610, 330, 722, 24, 70, 950, 291, 6274, 710, 37583, 785, 280, 330, 2760, 32, 3131, 32, 1299 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 4, 4, 2, 2, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 6, 5, 6, 4, 3, 3, 6, 6, 8, 8, 8, 10, 10, 9, 9, 11, 4, 4, 5, 5, 5, 5, 7, 8, 7, 7, 7, 10, 10, 12, 12, 13, 12, 6, 6, 9, 10, 9, 8, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 2, 2, 5, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 2, 2, 5, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 9, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 2, 2, 5, 7, 7, 7, 7, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 8, 8, 8, 8, 13, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 11, 11, 11, 11, 11, 11, 2, 2, 5, 7, 7, 7, 7, 4, 4, 5, 5, 2, 2, 5, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 6, 6, 6, 6, 3, 3, 7, 9, 9, 6, 6, 8, 8, 8, 8, 8 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 7, 7, 2, 7, 7, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 5, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 1, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 14, 1, 1, 1, 1, 1, 2, 14, 14, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1 ]

[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 1070, 28520, 32, 4275, 1188, 35603, 924, 203, 1070, 28520, 32, 48646, 32, 2795, 1188, 4187, 203, 823, 15239, 26, 2247, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2163, 47, 2521, 30, 4203, 47, 2521, 30, 2899, 81, 1017, 47, 2521, 711, 291, 630, 1114, 4555, 3886, 81, 15934, 280, 1605, 291, 2599, 26, 1972, 30, 630, 14585, 1664, 3207, 1521, 47, 1521, 30, 4203, 47, 4298, 30, 2899, 81, 1017, 47, 2795, 81, 1017, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 5881, 3217, 312, 13462, 18970, 10293, 432, 322, 4899, 5881, 291, 442, 313, 19338, 44, 904, 101, 20, 904, 630, 32, 371, 81, 426, 346, 284, 477, 16099, 284, 665, 2454, 26, 605, 30, 2163, 47, 2521, 30, 4203, 47, 2521, 30, 2899, 81, 1017, 47, 2521, 30, 2677, 81, 4018, 47, 2521, 30, 11522, 47, 2521, 711, 291, 273, 280, 15239, 26, 1521, 47, 1521, 30, 4203, 47, 4298, 30, 2899, 81, 1017, 47, 2795, 81, 1017, 27, 291, 442, 273, 32, 944, 81, 605, 26, 605, 30, 2677, 81, 4018, 47, 4502, 81, 4018, 30, 11522, 47, 4554, 27, 284, 665, 4655, 81, 979, 81, 2035, 26, 784, 30, 3408, 711, 291, 415, 3408, 646, 328, 630, 1114, 4555, 3886, 81, 15934, 44, 324, 630, 1114, 4555, 3886, 81, 15934, 32, 1689, 26, 2035, 27, 284, 665, 1401, 81, 34326, 26, 784, 30, 3408, 711, 291, 442, 3408, 328, 630, 1114, 4555, 3886, 81, 15934, 284, 665, 12741, 26, 784, 711, 291, 1056, 280, 2599, 26, 1972, 30, 630, 547, 6282, 346, 291, 1056, 710, 297, 81, 4531, 785, 280, 2933, 291, 442, 1056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 4, 4, 9, 10, 9, 9, 9, 8, 8, 9, 8, 9, 7, 7, 8, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 6, 7, 5, 4, 4, 7, 7, 9, 11, 10, 11, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 11, 11, 9, 5, 5, 6, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 8, 8, 8, 8, 5, 5, 5, 10, 11, 11, 11, 11, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 10, 11, 10, 10, 10, 9, 8, 4, 4, 7, 9, 9, 9, 9, 6, 6, 4, 4, 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 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 4, 4, 1, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 11, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 589, 622, 81, 2079, 2262, 334, 9712, 280, 1524, 78, 203, 916, 30, 3361, 30, 638, 10832, 301, 284, 1861, 44, 225, 35, 34, 34, 3652, 284, 2384, 44, 225, 35, 34, 34, 3652, 284, 3295, 44, 225, 34, 45, 284, 3714, 44, 225, 34, 45, 203, 111, 203, 916, 319, 203, 109, 284, 2357, 31, 5065, 44, 29752, 30, 31594, 30, 14809, 31, 13058, 653, 7523, 45, 284, 2357, 31, 891, 44, 225, 35, 38, 1082, 45, 203, 111, 203, 1275, 301, 284, 1778, 31, 25502, 44, 429, 8701, 31, 2446, 8692, 31, 11672, 45, 263, 1257, 18402, 569, 284, 1778, 31, 25502, 44, 261, 429, 97, 31, 2446, 8692, 31, 11672, 45, 263, 1257, 47129, 569, 284, 1778, 31, 25502, 44, 429, 7524, 31, 22926, 31, 37734, 45, 1109, 3704, 3773, 569, 284, 1778, 31, 25502, 44, 5564, 8692, 31, 11672, 45, 284, 429, 874, 31, 37654, 31, 2816, 44, 24560, 31, 22412, 45, 225, 1257, 12265, 308, 3780, 31, 9138, 2804, 27, 569, 203, 111, 203, 32, 5098, 301, 284, 2503, 44, 429, 7524, 31, 1501, 45, 284, 2503, 44, 429, 8701, 31, 1501, 45, 284, 2503, 44, 429, 874, 31, 5636, 1501, 45, 284, 2503, 44, 429, 7524, 31, 5636, 45, 284, 2503, 44, 5463, 45, 284, 429, 7524, 31, 5636, 31, 1867, 44, 2698, 9804, 45, 284, 5463, 31, 1867, 44, 2698, 9804, 45, 284, 1344, 31, 2934, 44, 4193, 45, 284, 2384, 44, 225, 35, 34, 34, 3652, 284, 3295, 44, 225, 34, 45, 284, 3714, 44, 225, 34, 45, 203, 111, 203, 1109, 2688, 8883, 1169, 3946, 372, 526, 225, 35, 34, 34, 23, 1861, 569, 203, 32, 5098, 848, 319, 301, 284, 3714, 44, 225, 35, 34, 1082, 45, 284, 5463, 44, 225, 35, 225, 35, 34, 34, 3652, 203, 111, 203, 90, 36, 301, 2186, 31, 891, 44, 225, 36, 34, 1082, 653, 7523, 45, 1344, 31, 2934, 44, 2390, 7154, 203, 32, 5370, 4791, 301, 2384, 44, 38, 39, 1082, 7154, 203, 32, 1831, 301, 878, 31, 2934, 44, 4193, 7154, 203, 32, 15966, 31, 35, 301, 284, 3168, 31, 990, 44, 39135, 4810, 588, 53, 40, 53, 43, 4019, 45, 284, 3208, 44, 588, 17500, 45, 203, 111, 203, 32, 3399, 9840, 301, 284, 2384, 44, 2267, 45, 284, 1861, 44, 2267, 45, 284, 1769, 31, 2273, 44, 225, 35, 34, 34, 3652, 284, 1769, 31, 1644, 44, 225, 35, 34, 34, 3652, 203, 111, 203, 1109, 31615, 2179, 308, 2671, 372, 5209, 27, 569, 203, 50, 3435, 1169, 461, 308, 887, 31, 1644, 44, 225, 35, 34, 34, 34, 1082, 27, 301, 284, 638, 15966, 31, 35, 301, 1344, 31, 2934, 44, 1873, 45, 3083, 429, 7524, 31, 5636, 44, 225, 35, 225, 39, 3652, 3083, 5463, 44, 225, 35, 225, 39, 3652, 3083, 429, 7524, 31, 1174, 44, 35, 45, 3083, 2532, 44, 35, 7154, 284, 638, 1831, 264, 301, 2532, 44, 225, 36, 45, 5463, 44, 40, 7154, 203, 111, 203, 1109, 5532, 2179, 429, 7394, 2663, 6867, 6822, 569, 203, 50, 3435, 308, 1449, 31, 1644, 44 ]

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

[ 1, 1, 2, 2, 2, 1, 1, 4, 4, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]

[ 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2322, 203, 465, 316, 203, 465, 16539, 203, 465, 1133, 203, 1070, 638, 2282, 1188, 2032, 36684, 203, 1070, 4377, 8524, 1188, 8248, 81, 466, 203, 1070, 4377, 2304, 1188, 308, 284, 1505, 81, 21823, 30, 284, 9336, 10239, 30, 284, 9336, 3484, 30, 284, 622, 81, 8022, 81, 1648, 30, 203, 27, 203, 589, 540, 2868, 5937, 81, 1648, 2262, 284, 442, 622, 81, 8022, 81, 1648, 26, 291, 330, 2051, 317, 5937, 370, 2107, 287, 4756, 2188, 540, 25, 12390, 91, 27, 4460, 1456, 15434, 78, 101, 28, 104, 49, 2009, 34, 31, 43, 83, 31, 15188, 31, 76, 1114, 31, 6155, 19188, 203, 823, 559, 2868, 6344, 26, 974, 36684, 711, 284, 665, 4011, 81, 4984, 26, 784, 30, 4870, 30, 3099, 81, 2665, 711, 291, 665, 1420, 81, 2051, 317, 5937, 26, 1132, 711, 324, 1477, 280, 1133, 32, 1003, 346, 324, 20791, 81, 11650, 280, 1665, 324, 20791, 81, 48982, 81, 605, 81, 1657, 280, 1665, 324, 11504, 280, 16539, 32, 45606, 26, 1132, 30, 16154, 47, 27958, 32, 18165, 27, 324, 6213, 81, 266, 81, 890, 81, 928, 280, 2933, 324, 11504, 81, 8228, 81, 10687, 280, 3177, 324, 2218, 646, 11504, 81, 8228, 81, 10687, 44, 400, 1628, 280, 4247, 400, 2218, 2933, 44, 528, 1351, 280, 11504, 32, 8228, 32, 850, 26, 35, 27, 528, 415, 646, 1351, 44, 715, 11504, 81, 8228, 81, 10687, 280, 2933, 715, 1626, 528, 415, 1351, 328, 428, 84, 10255, 100, 370, 323, 10255, 96, 12132, 715, 1626, 528, 1628, 1454, 1351, 32, 5460, 463, 14510, 370, 330, 3227, 683, 400, 415, 646, 1628, 44, 528, 4036, 400, 345, 2067, 280, 316, 32, 1903, 26, 100, 25, 2009, 34, 31, 43, 6155, 8169, 77, 34, 31, 43, 8274, 37, 1748, 13729, 517, 428, 34, 31, 43, 6155, 8169, 77, 34, 31, 43, 8274, 36, 111, 8382, 766, 37254, 34, 31, 43, 8274, 35, 30, 36, 4104, 16631, 34, 31, 43, 1130, 16822, 7243, 1628, 27, 400, 415, 345, 2067, 44, 528, 17236, 81, 605, 81, 1657, 280, 629, 26, 1808, 26, 5987, 92, 32, 1363, 26, 35, 490, 319, 225, 35, 34, 36, 38, 27, 528, 13720, 280, 1897, 26, 5987, 92, 32, 1363, 26, 36, 490, 528, 415, 646, 20791, 81, 11650, 44, 715, 20791, 81, 11650, 280, 13720, 715, 20791, 81, 48982, 81, 605, 81, 1657, 280, 17236, 81, 605, 81, 1657, 528, 1133, 81, 2174, 280, 1133, 32, 1003, 346, 528, 30918, 280, 630, 32, 10261, 81, 2281, 26, 1366, 30, 1133, 81, 2174, 30, 225, 35, 34, 34, 429, 20791, 81, 11650, 30, 13720, 429, 20791, 81, 11650, 27, 528, 8227, 280, 630, 32, 10261, 81, 7670, 26, 1366, 30, 1133, 81, 2174, 30, 17236, 81, 605, 81, 1657, 429, 20791, 81, 48982, 81, 605, 81, 1657, 27, 528, 706, 81, 1657, 280, 1665, 528, 415, 13720, 848, 225, 34, 44, 715, 706, 81, 1657, 280, 629, 26, 48982, 81, 605, 81, 1657, 319, 225, 35, 34, 34, 517, 13720, 27, 528, 630, 1114 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 8, 8, 8, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 7, 6, 5, 5, 8, 8, 10, 11, 10, 6, 6, 9, 9, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 8, 8, 6, 6, 8, 8, 10, 11, 10, 11, 10, 10, 11, 13, 12, 13, 10, 6, 6, 9, 9, 9, 9, 9, 9, 8, 8, 6, 6, 9, 9, 9, 9, 8, 8, 6, 6, 7, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 8, 8, 9, 9, 9, 9, 12, 12, 15, 16, 14, 15, 14, 15, 14, 10, 10, 11, 12, 11, 11, 11, 15, 15, 15, 15, 14, 14, 12, 12, 10, 10, 11, 12, 12, 15, 15, 16, 15, 13, 15, 16, 15, 11, 11, 10, 10, 12, 12, 14, 15, 14, 16, 16, 14, 16, 16, 8, 8, 9, 10, 9, 9, 9, 8, 8, 11, 10, 10, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 8, 8, 9, 10, 9, 9, 9, 13, 13, 13, 13, 12, 12, 14, 17, 17, 20, 20, 19, 20, 19, 20, 19, 15, 15, 16, 16, 16, 16, 14, 10, 10, 12, 12, 14, 17, 17, 16, 17, 16, 17, 16, 10, 10, 11, 12, 13, 13, 11, 11, 11, 15, 15, 14, 14, 12, 12, 15, 15, 15, 15, 15, 15, 14, 14, 15, 15, 15, 15, 10, 10, 13, 13, 12, 12, 14, 15, 14, 10, 10, 12, 12, 14, 15, 15, 15, 14, 15, 14, 14, 15, 15, 14, 14, 16, 16, 16, 15, 15, 16, 16, 14, 14, 15, 15, 16, 16, 14, 10, 10, 12, 12, 14, 15, 15, 15, 14, 15, 14, 14, 15, 15, 14, 14, 16, 16, 16, 16, 15, 15, 16, 16, 16, 16, 16, 16, 14, 10, 10, 13, 13, 12, 12, 10, 10, 11, 12, 12, 13, 11, 11, 11, 15, 15, 14, 14, 16, 19, 19, 19, 19, 19, 18, 18, 19, 19, 19, 17, 17, 16, 10, 10, 13 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 8, 8, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 1, 2, 9, 9, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 6, 1, 1, 1, 1, 1, 6, 6, 6, 0, 0, 3, 3, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 3, 3, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 3, 3, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 0, 5, 5, 2, 2, 1, 1, 7, 7, 2, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 0, 0, 5, 5, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 3, 3, 7, 1, 1, 2, 7, 7, 7, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0 ]

[ 28771, 81, 7230, 280, 3177, 203, 1270, 44, 284, 645, 30764, 265, 1188, 18711, 284, 20719, 81, 7230, 280, 2933, 203, 7343, 29986, 44, 284, 443, 18711, 26, 1473, 711, 291, 665, 7060, 26, 784, 30, 636, 30, 3693, 47, 2521, 711, 324, 442, 617, 13190, 10760, 26, 426, 30, 3693, 27, 284, 443, 617, 13190, 10760, 26, 1473, 711, 291, 665, 1156, 1664, 3207, 784, 30, 636, 30, 3693, 47, 2521, 711, 324, 630, 32, 426, 280, 636, 324, 630, 3667, 1427, 505, 280, 3693, 291, 665, 617, 5066, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 324, 3636, 26405, 463, 1333, 464, 299, 2193, 438, 31731, 330, 7686, 330, 26208, 322, 30764, 265, 4253, 438, 330, 7686, 330, 1206, 6713, 11834, 291, 3240, 280, 9254, 319, 83, 30, 1115, 4124, 44, 1665, 291, 5008, 280, 23314, 280, 1401, 81, 268, 2865, 483, 81, 979, 280, 13444, 483, 81, 979, 280, 766, 324, 37322, 81, 10089, 81, 452, 280, 9475, 81, 452, 280, 617, 5066, 291, 3555, 617, 5066, 203, 81, 28771, 280, 18711, 346, 203, 2387, 81, 29032, 280, 617, 28771, 32, 7295, 463, 2387, 31, 29032, 683, 203, 1357, 81, 9771, 280, 617, 28771, 32, 7295, 463, 1357, 31, 9771, 683, 203, 1357, 81, 15009, 280, 617, 28771, 32, 7295, 463, 1357, 31, 15009, 683, 203, 1357, 81, 519, 6992, 81, 1746, 280, 617, 28771, 32, 7295, 463, 1357, 31, 519, 6992, 31, 1746, 683, 203, 9294, 81, 1357, 81, 3893, 280, 617, 28771, 32, 7295, 463, 9294, 31, 1357, 31, 3893, 683, 203, 725, 1819, 81, 519, 6992, 81, 1746, 280, 617, 28771, 32, 7295, 463, 725, 1819, 31, 519, 6992, 31, 1746, 683, 203, 725, 1819, 81, 11467, 2034, 280, 617, 28771, 32, 7295, 463, 725, 1819, 31, 11467, 2034, 683, 203, 725, 1819, 81, 3235, 5367, 280, 617, 28771, 32, 7295, 463, 725, 1819, 31, 3235, 5367, 683, 203, 1436, 81, 1306, 22263, 280, 617, 28771, 32, 7295, 463, 1436, 31, 1306, 22263, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 5, 3, 3, 2, 2, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 4, 5, 6, 5, 4, 4, 6, 7, 8, 7, 7, 7, 7, 8, 9, 7, 6, 6, 8, 10, 10, 10, 11, 10, 10, 10, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 7, 8, 7, 7, 7, 7, 8, 9, 7, 6, 6, 10, 11, 9, 9, 7, 7, 10, 11, 11, 9, 9, 5, 5, 6, 7, 7, 8, 7, 7, 9, 7, 7, 9, 7, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 5, 5, 7, 7, 8, 11, 9, 9, 11, 8, 8, 5, 5, 7, 7, 8, 8, 10, 10, 10, 10, 10, 10, 9, 9, 11, 11, 11, 10, 10, 11, 10, 12, 12, 12, 12, 11, 11, 13, 13, 12, 12, 13, 5, 5, 6, 7, 0, 3, 3, 2, 2, 4, 0, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]

[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 3, 3, 3, 3, 3, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 2, 2, 2, 4, 4, 4, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 2678, 21031, 32, 4997, 9071, 32, 30609, 1188, 319, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 37571, 225, 1188, 319, 203, 1070, 2678, 21031, 32, 1262, 1188, 319, 203, 1070, 2678, 21031, 32, 8463, 1188, 319, 203, 1070, 638, 99, 339, 81, 6844, 81, 12316, 1188, 622, 67, 339, 17131, 1076, 30, 438, 9420, 67, 339, 17131, 203, 1070, 638, 99, 339, 81, 12316, 81, 33031, 1188, 319, 203, 589, 1626, 67, 339, 9518, 26, 99, 339, 17131, 30, 1932, 13753, 30, 3100, 13753, 711, 664, 415, 2678, 339, 17131, 438, 1665, 44, 442, 1665, 664, 485, 620, 280, 2678, 339, 17131, 32, 7733, 1622, 346, 664, 415, 485, 620, 610, 313, 9864, 20, 556, 485, 620, 610, 313, 18174, 81, 9864, 563, 397, 442, 1665, 397, 588, 225, 588, 225, 588, 333, 21, 333, 20, 429, 261, 429, 261, 829, 203, 307, 455, 280, 622, 67, 339, 17131, 34940, 2639, 26, 99, 339, 17131, 30, 1932, 13753, 27, 664, 1672, 3472, 13753, 280, 1056, 77, 35, 79, 664, 821, 17131, 280, 1056, 77, 36, 79, 664, 821, 1721, 17131, 280, 1056, 77, 37, 79, 664, 1361, 67, 339, 17131, 280, 622, 67, 339, 17131, 1076, 26, 99, 339, 17131, 30, 821, 17131, 30, 821, 1721, 17131, 547, 2991, 346, 664, 1672, 5064, 13753, 280, 1665, 664, 415, 3100, 13753, 438, 646, 1665, 44, 397, 588, 2317, 261, 588, 11304, 95, 225, 588, 333, 4027, 588, 333, 552, 21, 333, 33189, 333, 13188, 46, 20, 83, 9812, 261, 333, 225, 34, 264, 848, 225, 34, 5384, 29239, 280, 622, 67, 339, 17131, 34940, 2639, 26, 99, 339, 17131, 30, 3100, 13753, 27, 397, 1672, 5064, 13753, 280, 1056, 77, 35, 79, 397, 821, 17131, 280, 1056, 77, 36, 79, 397, 821, 1721, 17131, 280, 1056, 77, 37, 79, 397, 588, 408, 999, 1259, 1267, 77, 36, 79, 863, 821, 17131, 556, 1056, 77, 37, 79, 863, 821, 1721, 17131, 44, 225, 442, 1665, 664, 415, 1672, 5064, 13753, 438, 1665, 556, 2678, 339, 81, 2304, 32, 385, 26043, 26, 1772, 3472, 13753, 30, 1672, 5064, 13753, 711, 958, 397, 588, 4451, 7005, 456, 297, 9420, 67, 339, 17131, 26, 1113, 67, 339, 17131, 27, 610, 3177, 44, 442, 1665, 397, 11638, 280, 1361, 67, 339, 17131, 32, 2969, 1484, 45739, 26, 1772, 3472, 13753, 30, 1665, 27, 397, 415, 11638, 438, 1665, 44, 442, 1665, 397, 442, 428, 11215, 77, 34, 614, 11638, 77, 35, 614, 821, 17131, 30, 821, 1721, 17131, 79, 664, 813, 44, 588, 281, 25, 1309, 47187, 280, 1361, 67, 339, 17131, 32, 7733, 1622, 346, 397, 415, 485, 620, 610, 313, 44412, 13057, 563, 276, 943, 8024, 280, 2678, 339, 81, 2304, 32, 371, 8024, 1083, 36, 45739, 26, 1113, 67, 339, 17131, 32, 2390, 30, 1672, 3472, 13753, 27, 276, 1477, 8024, 280, 2678, 339, 81, 2304, 32, 371, 8024, 1083, 36, 45739, 26, 1113, 67, 339, 17131, 32, 2390, 30, 1672, 5064, 13753, 27, 276, 20507, 280, 1910, 339, 8776, 922, 470, 26, 1113, 67, 339, 17131, 32, 2390, 30, 1361, 67, 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, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 5, 5, 4, 4, 3, 3, 5, 2, 2, 5, 4, 4, 7, 7, 6, 7, 7, 6, 2, 2, 3, 6, 5, 5, 7, 7, 4, 4, 6, 5, 5, 7, 7, 7, 7, 3, 3, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 0, 0, 3, 3, 2, 2, 3, 4, 3, 0, 0, 3, 2, 2, 3, 4, 3, 0, 0, 3, 3, 2, 2, 3, 4, 3, 0, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 6, 6, 7, 7, 6, 5, 4, 0, 0, 3, 3, 2, 2, 0, 0, 1, 3, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 5, 6, 5, 2, 2, 5, 4, 4, 5, 6, 5, 2, 2, 5, 5, 4, 4, 5, 6, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 4, 4, 3, 3, 2, 2, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 4, 4, 5, 5, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 6, 6, 2, 2, 3, 4, 4, 3, 3, 5, 2, 2, 3, 6, 5, 6, 5, 4, 5, 6, 5, 4, 5, 4, 4, 5, 5, 4, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 6, 6, 5, 7, 7, 7, 4, 4, 8, 8, 7, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 10, 11, 9, 10, 10, 10, 9, 5, 8, 8, 7, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 10, 11, 9, 10, 10, 10, 9, 5, 8, 7, 11, 11, 11, 9, 10, 9, 11, 11, 11, 11, 10, 11, 9, 11, 11 ]

[ 0, 0, 0, 1, 2, 2, 1, 4, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 4, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 6, 6, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 6, 6, 0, 0, 0, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 3, 3, 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, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 1, 1, 1, 13, 13, 13, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 13, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 14, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 14, 14, 14, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 14, 14, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 1, 2, 1, 1, 3, 2, 3, 1, 5, 1, 1, 7, 7, 1, 14, 14, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 3, 3, 3, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 3, 3, 3, 1, 3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0 ]

[ 1070, 8527, 32, 2387, 1188, 11522, 30, 4448, 1222, 203, 1070, 8527, 32, 525, 1188, 17874, 30, 4688, 38, 34, 38, 203, 1070, 8527, 32, 525, 1188, 17874, 11445, 30, 17874, 40748, 11445, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 1439, 1188, 3678, 1761, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 4018, 1188, 10702, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 1217, 1188, 6645, 885, 203, 1070, 8527, 32, 1262, 1188, 1984, 46751, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 589, 2908, 81, 452, 81, 1986, 2740, 1132, 30, 1115, 5321, 711, 284, 1913, 1986, 81, 5321, 280, 5053, 1286, 81, 681, 950, 10306, 32, 3235, 463, 1286, 81, 681, 370, 1665, 4370, 284, 442, 17874, 26, 4554, 32, 3169, 81, 452, 81, 800, 2740, 1132, 30, 1115, 5321, 471, 1115, 525, 1986, 81, 5321, 27, 203, 589, 2908, 26, 1357, 30, 319, 1132, 30, 1115, 5321, 711, 284, 1913, 1986, 81, 5321, 280, 301, 291, 330, 1286, 81, 681, 950, 10306, 32, 3235, 463, 1286, 81, 681, 370, 1665, 471, 291, 330, 1517, 950, 10306, 32, 3235, 463, 1517, 370, 1665, 471, 284, 320, 284, 415, 330, 1819, 81, 2386, 25, 328, 10306, 44, 291, 1619, 81, 2386, 280, 10306, 32, 3235, 463, 1819, 81, 2386, 683, 291, 415, 10306, 32, 371, 463, 1700, 81, 725, 370, 1665, 711, 324, 3636, 10091, 463, 2797, 844, 2355, 312, 1619, 81, 2386, 844, 2298, 330, 6035, 330, 470, 2819, 1550, 81, 725, 2670, 8276, 2908, 346, 683, 284, 813, 44, 291, 1550, 81, 725, 280, 10306, 32, 3235, 463, 1700, 81, 725, 370, 1665, 27, 291, 1619, 81, 2386, 280, 4448, 1222, 26, 1357, 30, 1550, 81, 725, 47, 1700, 81, 725, 27, 284, 10306, 710, 1819, 81, 2386, 785, 280, 1619, 81, 2386, 284, 442, 17874, 26, 4554, 32, 3169, 81, 452, 81, 800, 2740, 1132, 30, 1115, 5321, 471, 715, 1115, 525, 1986, 81, 5321, 27, 203, 589, 5668, 26, 452, 30, 319, 1132, 30, 1115, 5321, 711, 284, 415, 10306, 32, 3235, 463, 48125, 370, 3177, 711, 291, 5668, 81, 823, 280, 17874, 40748, 11445, 284, 813, 44, 291, 5668, 81, 823, 280, 17874, 11445, 284, 442, 5668, 81, 823, 26, 5284, 81, 965, 26, 452, 30, 319, 1132, 30, 1115, 5321, 490, 203, 589, 617, 371, 81, 37741, 26, 23321, 711, 284, 415, 6937, 26, 23321, 30, 6645, 885, 711, 291, 442, 11595, 284, 4348, 6937, 26, 23321, 30, 10702, 711, 291, 7884, 280, 11595, 284, 4348, 6937, 26, 23321, 30, 3678, 1761, 711, 291, 7884, 280, 11595, 1114, 1536, 81, 4018, 284, 813, 44, 291, 415, 6937, 26, 23321, 30, 827, 711, 324, 11595, 505, 426, 280, 11595, 3667, 426, 505, 291, 813, 44, 324, 11595, 505, 426, 280, 11595, 3667, 823, 29215, 426, 505, 291, 3636, 10091, 440, 959, 438, 432, 827, 6611, 101, 370, 1273, 2298, 526, 312, 18297, 3678, 30, 313, 656, 313, 1572, 30, 556, 6645, 885, 20, 904, 11595, 505, 426, 27, 284, 442, 7884, 32, 464, 346, 203, 589, 622, 81, 1473, 81, 271, 81, 38, 34, 38 ]

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

[ 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 5, 5, 5, 4, 4, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 2, 2, 3, 5, 8, 7, 8, 8, 8, 8, 8, 7, 9, 7, 7, 9, 7, 5, 7, 7, 7, 7, 5, 0, 1, 1, 2, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 10, 8, 8, 5, 5, 2, 2, 3, 6, 6, 6, 6, 4, 4, 3, 3, 3, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 7, 7, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 4, 4, 4, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 11, 9, 9, 5, 5, 8, 8, 7, 7, 9, 9, 10, 9, 9, 11, 11, 10, 11, 11, 11, 9, 2, 2, 5, 7, 7, 7, 7, 4, 4, 5, 5, 2, 2, 3, 5, 8, 7, 8, 8, 8, 8, 8, 7, 9, 7, 7, 9, 7, 5, 5, 7, 7, 7, 7, 5, 0, 1, 1, 2, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 5, 6, 5, 7, 7, 5, 5, 3, 3, 7, 7, 6, 6, 7, 7, 3, 3, 4, 4, 4, 8, 8, 7, 7, 8, 2, 2, 3, 5, 5, 5, 7, 7, 7, 7, 8, 7, 7, 9, 7, 7, 9, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 6, 5, 3, 3, 5, 3, 3, 4, 6, 7, 6, 6, 6, 4, 4, 7, 7, 3, 3, 4, 6, 7, 6, 6, 7, 6, 4, 4, 7, 7, 8, 9, 9, 9, 3, 3, 4, 4, 4, 6, 8, 9, 8, 8, 8, 6, 6, 10, 10, 9, 9, 10, 11, 11, 6, 6, 7, 7, 7, 11, 11, 10, 10, 12, 13, 13, 12, 12, 5, 5, 6, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 9, 9, 10, 10, 8, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2 ]

[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 2, 1, 2, 2, 1, 2, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 0, 2, 1, 1, 2, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 3, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 10, 10, 2, 1, 2, 2, 1, 2, 2, 1, 2, 10, 10, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 4, 4, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 5, 1, 1, 1, 1, 3, 1, 5, 5, 0, 0, 2, 2, 2, 2, 0, 0, 6, 6, 6, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 1, 0, 2, 1, 0, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 505, 2116, 505, 280, 330, 92, 292, 20403, 25, 203, 823, 399, 2952, 58, 924, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 786, 711, 291, 630, 32, 853, 280, 786, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 26542, 26, 784, 32, 853, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]

[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 2322, 203, 1070, 638, 7534, 1199, 1188, 15894, 37850, 81, 7534, 1199, 203, 1070, 2417, 5178, 1188, 9282, 4198, 203, 465, 316, 203, 1070, 30902, 32, 1040, 1188, 17161, 81, 15040, 203, 589, 617, 297, 81, 1902, 81, 9236, 2262, 284, 442, 2322, 32, 12757, 32, 371, 463, 8094, 81, 27096, 370, 31248, 15990, 463, 20235, 25844, 203, 823, 15894, 37850, 81, 3806, 265, 47708, 26, 14693, 37850, 81, 7534, 1199, 711, 284, 477, 17614, 284, 665, 3082, 1237, 26, 6933, 711, 291, 17161, 81, 15040, 26, 324, 313, 7732, 7578, 4428, 2464, 8535, 1494, 6892, 12215, 4729, 322, 313, 324, 313, 14693, 1199, 38043, 7029, 30, 1471, 322, 3834, 2179, 313, 324, 313, 7534, 29, 7534, 1199, 555, 2388, 50, 14617, 32860, 13809, 16705, 81, 4817, 9178, 3209, 2602, 5681, 324, 3778, 2250, 314, 25782, 2325, 1964, 2004, 5844, 291, 829, 291, 645, 9270, 32, 48906, 32, 1237, 1188, 4125, 5866, 81, 10520, 81, 1110, 291, 415, 617, 297, 81, 1902, 81, 9236, 2262, 324, 645, 9270, 32, 48906, 32, 1237, 1188, 24313, 874, 81, 7534, 1199, 324, 442, 24313, 874, 81, 7534, 1199, 291, 4348, 4125, 5866, 81, 10520, 81, 1110, 32, 1237, 5866, 32, 936, 9816, 463, 37623, 874, 7831, 324, 645, 9270, 32, 4219, 32, 28383, 454, 274, 32, 2958, 32, 1237, 1188, 24313, 874, 81, 1237, 5866, 324, 442, 24313, 874, 81, 1237, 5866, 291, 813, 44, 324, 645, 9270, 32, 4219, 32, 28383, 454, 274, 32, 2958, 32, 1237, 1188, 24313, 874, 81, 2175, 1237, 324, 442, 24313, 874, 81, 2175, 1237, 284, 477, 17614, 284, 665, 622, 81, 5178, 81, 823, 26, 6933, 30, 1984, 711, 291, 442, 9282, 4198, 284, 665, 1487, 81, 3517, 81, 1132, 26, 784, 30, 1984, 711, 291, 6410, 280, 1984, 32, 7393, 81, 3517, 81, 1132, 346, 291, 415, 646, 617, 297, 81, 1902, 81, 9236, 2262, 324, 6410, 710, 47582, 785, 280, 4247, 324, 6410, 710, 2386, 785, 280, 1984, 32, 1217, 710, 2386, 785, 291, 442, 5518, 6410, 284, 665, 617, 8281, 81, 731, 81, 687, 26, 784, 30, 3756, 711, 291, 2530, 280, 316, 32, 6993, 26, 100, 20, 80, 4987, 86, 24913, 62, 2805, 110, 14747, 1162, 78, 86, 24913, 62, 11155, 1895, 2872, 26, 466, 26, 3893, 490, 291, 1340, 280, 2530, 32, 1363, 26, 35, 27, 556, 2530, 32, 1363, 26, 36, 27, 415, 2530, 813, 1665, 291, 415, 1340, 44, 324, 442, 629, 26, 687, 27, 203, 37995, 280, 15894, 37850, 81, 3806, 265, 47708, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 4, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 8, 9, 7, 8, 7, 9, 9, 9, 9, 7, 6, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 5, 5, 6, 7, 8, 7, 8, 6, 6, 8, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 10, 9, 10, 8, 8, 10, 10, 10, 10, 7, 7, 8, 9, 9, 9, 9, 6, 6, 7, 11, 11, 11, 11, 11, 10, 11, 11, 9, 10, 10, 9, 11, 11, 11, 7, 7, 9, 10, 11, 10, 11, 11, 11, 10, 11, 10, 11, 9, 9, 11, 11, 11, 11, 8, 8, 9, 10, 10, 10, 10, 6, 6, 7, 7, 7, 9, 10, 11, 10, 11, 11, 11, 10, 11, 10, 11, 9, 9, 11, 11, 11, 11, 8, 8, 9, 10, 10, 10, 10, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 6, 8, 8, 8, 8, 8, 8, 5, 5, 9, 11, 11, 8, 8, 6, 6, 9, 11, 11, 8, 8, 10, 11, 9, 11, 11, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 10, 10, 11, 10, 4, 4, 6, 6, 10, 11, 10, 11, 10, 8, 8, 10, 11, 10, 11, 10, 7, 7, 7, 7, 4, 4, 5, 5, 5, 5, 7, 9, 10, 9, 0, 3, 2, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 6, 6, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 4, 4, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 2, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 1, 2, 1, 4, 4, 4, 1, 6, 1, 8, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 2, 5, 5, 5, 0, 1, 2, 1, 4, 4, 4, 1, 6, 1, 8, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 3, 3, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 4, 4, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 20717, 203, 465, 1619, 1356, 203, 465, 17787, 203, 465, 3738, 203, 465, 11685, 203, 465, 6436, 619, 2065, 203, 465, 18792, 203, 1070, 14785, 32, 12023, 1188, 8361, 619, 712, 7972, 81, 2846, 203, 1070, 14785, 32, 12023, 32, 39447, 32, 2958, 32, 4156, 1188, 7433, 81, 1040, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8482, 81, 3229, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8482, 81, 1040, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 81, 48679, 18032, 81, 10881, 81, 9544, 81, 42412, 69, 280, 428, 284, 313, 4432, 81, 3229, 392, 313, 371, 81, 4432, 81, 3229, 392, 313, 1567, 81, 3229, 392, 313, 371, 81, 1567, 81, 3229, 392, 284, 313, 3287, 81, 96, 392, 313, 751, 81, 7151, 392, 313, 7151, 392, 313, 751, 81, 21195, 392, 313, 21195, 392, 313, 751, 81, 43822, 18181, 81, 1126, 392, 284, 313, 43822, 18181, 81, 1126, 392, 313, 20933, 392, 313, 6009, 392, 313, 17965, 392, 313, 1530, 392, 313, 2816, 1446, 203, 50, 25931, 32, 669, 81, 2559, 32095, 26, 8183, 32, 1319, 3103, 2281, 27, 203, 823, 617, 1761, 16218, 26, 1473, 711, 334, 3097, 203, 589, 617, 2991, 81, 3359, 26, 3359, 711, 334, 415, 646, 20695, 26, 3359, 711, 284, 3636, 12678, 440, 3359, 438, 646, 20695, 44, 904, 101, 20, 904, 2771, 27, 334, 442, 3738, 32, 44334, 26, 397, 1340, 47, 3359, 3667, 687, 7642, 27311, 47, 3359, 3667, 19981, 7642, 397, 636, 47, 3359, 3667, 426, 7642, 1638, 15312, 47, 3359, 3667, 10514, 7642, 397, 21375, 47, 3359, 3667, 15912, 8223, 203, 589, 617, 1877, 81, 1427, 800, 26, 1455, 81, 466, 30, 5489, 81, 466, 711, 334, 3610, 81, 466, 81, 4446, 280, 3610, 81, 466, 32, 2998, 5528, 96, 657, 334, 5489, 81, 466, 280, 2706, 96, 2296, 2524, 440, 264, 904, 101, 20, 904, 1628, 436, 1628, 328, 5489, 81, 466, 32, 2998, 5528, 96, 2131, 334, 1401, 81, 1132, 81, 782, 280, 428, 397, 19501, 436, 19501, 30, 1628, 328, 10703, 26, 1455, 81, 466, 81, 4446, 27, 397, 415, 1628, 32, 7201, 922, 5729, 346, 610, 313, 1132, 44, 1446, 334, 415, 1401, 81, 1132, 81, 782, 44, 284, 1158, 81, 1132, 81, 782, 280, 1401, 81, 1132, 81, 782, 6448, 35, 79, 284, 442, 2884, 78, 96, 2296, 2524, 26, 1455, 81, 466, 81, 4446, 2867, 3220, 81, 1132, 81, 782, 1130, 324, 474, 2706, 96, 78, 96, 20, 474, 5489, 81, 466, 474, 2706, 96, 78, 96, 20, 324, 474, 2706, 96, 2296, 2524, 26, 1455, 81, 466, 81, 4446, 77, 3220, 81, 1132, 81, 782, 44, 5259, 334, 813, 44, 284, 442, 3610, 81, 466, 474, 2706, 96, 78, 96, 20 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 5, 6, 6, 6, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 7, 6, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 2, 2, 3, 5, 6, 5, 5, 5, 6, 8, 7, 8, 8, 5, 6, 8, 7, 8, 8, 5, 5, 6, 8, 7, 8, 8, 5, 7, 6, 8, 7, 8, 8, 5, 5, 6, 8, 7, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 9, 8, 2, 2, 5, 5, 4, 4, 9, 8, 7, 6, 9, 9, 9, 9, 7, 7, 6, 7, 7, 7, 10, 10, 9, 10, 9, 12, 11, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 6, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 5, 5, 6, 11, 12, 11, 10, 9, 7, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 7, 9, 7, 4, 4, 5, 15, 15, 14, 13, 12, 14, 14, 14, 14, 14, 13, 15, 15, 15, 15, 15, 13, 10, 10, 10, 13, 13, 13, 12, 9, 9, 10, 10, 8, 8, 11, 11, 11, 10, 7, 7, 7, 12, 11, 10, 9, 11, 11, 11, 11, 11, 10, 12, 12, 12, 12, 12, 11, 10, 3, 3, 4, 4, 4, 6, 9, 9, 8, 8, 11, 11, 11, 10 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 1, 1, 0, 9, 9, 0, 10, 10, 1, 2, 10, 10, 3, 3, 2, 2, 2, 0, 11, 11, 1, 2, 1, 4, 1, 6, 1, 8, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 19, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 20, 20, 1, 1, 1, 2, 1, 2, 20, 20, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 3, 0, 2, 2, 2, 1, 1, 5, 0, 2, 2, 2, 1, 0, 7, 0, 2, 2, 2, 1, 1, 9, 0, 2, 2, 2, 0, 21, 21, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 21, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 3, 3, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2 ]

[ 465, 281, 4290, 203, 465, 298, 5136, 203, 1070, 14694, 4458, 1188, 489, 4238, 1290, 203, 1070, 14694, 4458, 1188, 3720, 203, 1070, 14694, 4458, 1188, 3319, 10911, 30, 1979, 1031, 10911, 203, 823, 48720, 1241, 26, 1241, 711, 284, 665, 1487, 26, 784, 711, 291, 15318, 280, 630, 32, 669, 26, 1031, 10911, 30, 636, 347, 1763, 1176, 392, 829, 291, 15318, 32, 853, 280, 428, 528, 313, 1763, 225, 35, 15593, 392, 11057, 313, 1763, 225, 36, 5661, 1309, 1309, 392, 11057, 313, 1763, 225, 37, 3003, 11057, 313, 1763, 225, 38, 3003, 528, 313, 1763, 225, 40, 3003, 528, 313, 1763, 225, 41, 3003, 528, 313, 1763, 225, 42, 3003, 528, 313, 1763, 225, 43, 3003, 528, 313, 1763, 225, 35, 34, 3003, 528, 313, 1763, 225, 35, 35, 3003, 528, 313, 1763, 225, 35, 36, 3003, 528, 313, 1763, 225, 40, 84, 3003, 528, 313, 1763, 225, 41, 84, 3003, 528, 313, 1763, 225, 42, 84, 3003, 528, 313, 1763, 225, 43, 84, 3003, 528, 313, 1763, 225, 35, 34, 84, 3003, 528, 313, 1763, 225, 35, 35, 84, 3003, 528, 313, 1763, 225, 35, 36, 84, 3003, 528, 1481, 291, 588, 7163, 647, 588, 7163, 647, 588, 7163, 647, 630, 32, 6580, 47, 1815, 291, 15318, 32, 7017, 81, 2705, 47, 37, 291, 15318, 32, 1873, 81, 4536, 47, 42, 203, 823, 1995, 26, 64, 4238, 1290, 711, 664, 665, 2575, 26, 784, 711, 1568, 2234, 280, 48720, 1241, 26, 426, 1057, 19016, 372, 489, 978, 4458, 683, 1568, 2234, 32, 3176, 346, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 664, 1123, 280, 1995, 346, 664, 298, 280, 281, 4290, 32, 1945, 463, 725, 32, 1945, 29646, 3844, 47, 35, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 9, 9, 8, 8, 9, 11, 11, 11, 8, 4, 4, 7, 8, 6, 6, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 8, 8, 8, 6, 1, 2, 2, 2, 3, 3, 3, 1, 3, 4, 4, 5, 5, 3, 7, 7, 8, 8, 8, 10, 10, 11, 11, 11, 11, 11, 11, 4, 8, 8, 8, 8, 7, 0, 1, 3, 3, 2, 4, 4, 4, 1, 5, 5, 6, 6, 2, 2, 5, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 6, 1, 1, 1, 1, 1, 1, 6, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 0, 0, 2, 2, 1, 0, 7, 0, 0, 1, 0, 1, 1, 7, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 15798, 36, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 376, 36, 2282, 32, 9777, 32, 1237, 1188, 4040, 81, 2554, 81, 4530, 203, 1070, 376, 36, 2282, 32, 1040, 32, 1237, 1188, 622, 81, 1439, 81, 923, 81, 1237, 81, 965, 203, 1070, 376, 36, 2282, 32, 1040, 32, 1237, 1188, 622, 81, 2620, 81, 923, 81, 1237, 81, 965, 203, 1070, 376, 36, 2282, 32, 1040, 32, 1237, 1188, 622, 81, 22317, 5310, 81, 1237, 81, 965, 203, 1070, 376, 36, 4882, 32, 1163, 1188, 3185, 81, 1132, 203, 2208, 81, 1132, 346, 203, 823, 2330, 2755, 7233, 26, 18986, 36, 32, 7233, 711, 284, 665, 894, 81, 371, 81, 1439, 81, 923, 81, 1237, 81, 965, 26, 784, 711, 291, 2078, 280, 428, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 13093, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 13093, 324, 330, 525, 555, 5007, 44, 42, 34, 42, 34, 13093, 291, 1481, 291, 2799, 280, 428, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 370, 324, 330, 525, 555, 5007, 44, 42, 34, 42, 34, 370, 291, 1481, 291, 436, 4395, 81, 853, 30, 2799, 81, 1267, 328, 8529, 26, 2810, 30, 2799, 711, 324, 8444, 32, 14594, 32, 2393, 32, 1237, 81, 965, 280, 4395, 81, 853, 324, 4648, 280, 622, 81, 1439, 81, 923, 81, 1237, 81, 965, 346, 324, 630, 32, 5299, 26, 7975, 30, 2799, 81, 1267, 27, 284, 665, 894, 81, 371, 81, 2620, 81, 923, 81, 1237, 81, 965, 26, 784, 711, 291, 2078, 280, 428, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 13093, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 370, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 13093, 324, 330, 525, 555, 5007, 44, 42, 34, 42, 34, 13093, 291, 1481, 291, 2799, 280, 428, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 7404, 474, 4040, 81, 2554, 81, 4530, 30, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 7404, 474, 4040, 81, 2554, 81, 4530, 30, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 7404, 474, 4040, 81, 2554, 81, 4530, 30, 324, 330, 525, 555, 3986, 32, 1632, 32, 508, 44, 42, 34, 42, 34, 7404, 474, 4040, 81, 2554, 81, 4530, 30, 324, 330, 525, 555, 5007, 44, 42, 34, 42, 34, 7404, 474, 4040, 81, 2554, 81, 4530, 30, 291, 1481, 291, 436, 4395, 81, 853, 30, 2799, 81, 1267, 328, 8529, 26, 2810, 30 ]

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

[ 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 7, 8, 7, 7, 7, 5, 5, 11, 12, 10, 11, 9, 10, 10, 10, 8, 8, 9, 9, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 10, 9, 10, 9, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 7, 8, 7 ]

[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 1, 0, 8, 8, 1, 1, 2, 0, 0, 1, 2, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1 ]

[ 505, 1427, 505, 280, 766, 203, 2993, 203, 978, 26801, 2297, 429, 26149, 461, 4438, 372, 5597, 461, 5742, 11708, 21384, 101, 203, 1318, 3619, 26801, 2297, 438, 600, 15529, 10078, 372, 6892, 461, 16924, 4281, 21384, 101, 30, 203, 4849, 32, 322, 35899, 18299, 33, 107, 4718, 10078, 30, 556, 322, 793, 432, 10605, 15866, 32, 225, 6468, 3619, 26801, 30, 844, 203, 11676, 1330, 1849, 372, 7350, 312, 537, 8345, 436, 20720, 21384, 101, 556, 9215, 15866, 429, 322, 11708, 2297, 203, 48356, 312, 4253, 432, 6015, 688, 844, 793, 372, 8520, 322, 21384, 7029, 328, 4865, 32, 203, 10921, 438, 312, 3460, 372, 3185, 313, 8279, 30, 10896, 11555, 308, 271, 1346, 485, 32668, 432, 322, 2234, 390, 2367, 46, 10321, 11370, 2717, 333, 669, 575, 2970, 48, 11555, 1748, 403, 284, 645, 3619, 26801, 1188, 10211, 30, 743, 833, 302, 284, 588, 5597, 21384, 432, 312, 485, 32668, 284, 485, 7104, 280, 10211, 26, 743, 833, 302, 829, 474, 17693, 474, 10211, 26, 743, 833, 302, 829, 474, 313, 11555, 284, 17964, 280, 313, 8279, 30, 10896, 11555, 284, 1459, 308, 7656, 30, 313, 396, 392, 485, 7104, 32, 2208, 652, 26, 17964, 9658, 203, 1318, 3460, 10107, 322, 2412, 403, 284, 12000, 30, 10896, 19, 967, 2107, 8279, 370, 5769, 370, 330, 6708, 370, 39458, 785, 203, 1318, 4865, 10293, 432, 322, 21384, 438, 12247, 18970, 30, 22420, 299, 372, 322, 630, 31, 327, 5623, 8405, 203, 823, 4467, 30, 461, 322, 793, 432, 21645, 330, 19994, 461, 25366, 25, 15568, 32, 203, 1318, 8436, 3276, 4717, 645, 390, 109, 2208, 652, 9741, 883, 526, 20001, 619, 312, 11815, 1149, 30, 312, 9473, 30, 556, 600, 203, 1473, 623, 8189, 5414, 32, 203, 1318, 3619, 26801, 2297, 13650, 1629, 432, 322, 9808, 688, 884, 18214, 354, 327, 299, 1412, 4127, 1344, 47475, 44, 203, 429, 6717, 556, 5816, 19782, 308, 1382, 3684, 3460, 1098, 2329, 2887, 313, 8279, 30, 6708, 13700, 313, 8279, 225, 1717, 225, 10896, 225, 653, 392, 5774, 7447, 203, 429, 34210, 5852, 203, 429, 17703, 8446, 203, 2993, 203, 505, 1648, 505, 280, 313, 36, 32, 34, 32, 36, 20, 203, 505, 1648, 1043, 505, 280, 313, 35, 37, 30468, 225, 36, 34, 35, 38, 225, 35, 36, 44, 35, 34, 20, 203, 505, 2116, 505, 280, 313, 9913, 338, 22554, 5708, 548, 333, 385, 6053, 89, 50, 3707, 32, 21447, 32, 1299, 5844, 203, 465, 802, 203, 1070, 18105, 612, 1188, 2488, 619, 341, 93, 612, 203, 465, 1933, 203, 465, 5237, 203, 465, 11685, 203, 465, 316, 203, 465, 309, 268, 81, 9777, 203, 465, 13625, 203, 465, 25679, 203, 505, 464, 505, 280, 428, 203, 25, 2185, 370, 330, 2732, 2274, 13099, 370, 330, 2732, 2274, 8208, 370, 330, 16364, 37519, 370, 330, 17202, 370, 330, 7167, 370, 330, 3863, 370, 330, 2766, 370, 203, 25, 13052, 35753, 370, 330, 11342, 370, 330, 6098, 705, 2137, 370, 330, 1564, 370, 330, 13099, 370, 330, 1811, 2102, 370, 330, 1811, 2130, 370, 330, 8208, 370, 203, 25, 3665, 3472, 370, 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 ]

[ 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 5, 5, 0, 5, 5, 3, 3, 2, 2, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 0, 0, 0, 11, 11, 0, 12, 12, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2 ]

[ 465, 3995, 203, 465, 26313, 203, 465, 1133, 203, 465, 15798, 203, 465, 14505, 81, 4266, 203, 81, 5221, 4516, 2347, 280, 225, 34, 32, 37, 203, 81, 10656, 75, 280, 225, 35, 34, 34, 34, 34, 203, 81, 42127, 2253, 3602, 12631, 81, 46840, 1392, 280, 330, 983, 45838, 3664, 31801, 20149, 203, 823, 617, 1043, 1337, 265, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1133, 711, 291, 630, 1114, 4742, 280, 26313, 32, 5356, 346, 291, 630, 1114, 1003, 280, 1133, 291, 630, 1114, 1851, 81, 5571, 280, 1605, 284, 665, 1156, 1851, 3207, 784, 711, 291, 623, 630, 1114, 4742, 44, 324, 630, 1114, 1851, 81, 5571, 32, 1689, 26, 784, 1114, 1003, 32, 1003, 1157, 284, 665, 1476, 81, 5571, 26, 784, 711, 291, 623, 630, 1114, 4742, 44, 324, 442, 8825, 26, 784, 1114, 1851, 81, 5571, 27, 203, 823, 3717, 1006, 26, 1473, 711, 284, 665, 894, 81, 7840, 81, 979, 26, 784, 711, 291, 1477, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 1114, 1003, 32, 7840, 81, 979, 2176, 5221, 4516, 2347, 27, 291, 943, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 32, 862, 13275, 1324, 26, 1366, 81, 1003, 474, 617, 5221, 4516, 2347, 30, 943, 81, 1003, 27, 284, 665, 894, 81, 7840, 81, 17785, 26, 784, 711, 291, 1477, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 1114, 1003, 32, 7840, 81, 17785, 26, 1366, 81, 1003, 474, 617, 5221, 4516, 2347, 27, 291, 943, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 32, 862, 13275, 1324, 26, 1366, 81, 1003, 474, 617, 5221, 4516, 2347, 30, 943, 81, 1003, 27, 284, 665, 894, 81, 1851, 81, 266, 26, 784, 711, 291, 1133, 81, 1206, 265, 280, 617, 1043, 1337, 265, 26, 784, 1114, 1003, 27, 291, 1477, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 1114, 1003, 32, 1851, 81, 266, 26, 1003, 81, 1206, 265, 30, 617, 5221, 4516, 2347, 27, 291, 630, 1114, 1003, 32, 7840, 81, 979, 2176, 5221, 4516, 2347, 319, 225, 36, 27, 291, 1476, 81, 5571, 280, 1133, 81, 1206, 265, 32, 1851, 81, 5571, 346, 291, 630, 32, 6549, 26, 1851, 81, 5571, 30, 3124, 11645, 42127, 2253, 3602, 12631, 81, 46840, 1392, 27, 291, 630, 32, 862, 13275, 1324, 26, 1366, 81, 1003, 474, 617, 5221, 4516, 2347, 30, 1476, 81, 5571, 77, 34, 1130, 284, 665, 894, 81, 1851, 81, 269, 26, 784, 711, 291, 1133, 81, 1206, 265, 280, 617, 1043, 1337, 265, 26, 784, 1114, 1003, 27, 291, 1477, 81, 1003, 280, 630, 1114, 1003, 32, 1003, 346, 291, 630, 1114, 1003, 32, 1851, 81, 269, 26, 1003, 81, 1206, 265, 30, 630, 1114, 1003, 32, 1003, 346, 474, 617, 5221, 4516, 2347, 27, 291, 630, 1114, 1003, 32, 7840, 81, 979, 2176, 5221, 4516, 2347, 319, 225, 36, 27, 291, 1476, 81, 5571, 280, 1133, 81, 1206, 265, 32, 1851, 81, 5571, 346, 291, 630, 32, 6549, 26, 1851 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 13, 12, 13, 11, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 5, 5, 5, 7, 9, 11, 10, 11, 11, 11, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 8, 8, 8, 8, 10, 9, 10, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 7, 4, 4, 7, 7, 6, 6, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 7, 7, 9, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 8, 8, 8, 8, 10, 9, 10, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 8, 8, 8, 7, 7, 11, 12, 10, 11, 10, 8, 8, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 8, 8, 9, 7, 4, 4, 7, 7, 6, 6, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 3, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 3, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1 ]

[ 465, 2322, 203, 1070, 32625, 32, 4266, 1188, 32625, 858, 203, 1070, 32625, 32, 4266, 1188, 3395, 1191, 203, 1070, 310, 283, 495, 94, 32, 17411, 32, 11192, 4137, 1188, 2156, 696, 81, 1152, 35, 42, 203, 1070, 310, 283, 495, 94, 32, 17411, 32, 11192, 4137, 1188, 6325, 81, 2304, 203, 465, 5167, 81, 3613, 203, 823, 3927, 1679, 2201, 35, 42, 1006, 26, 5609, 1191, 32, 7233, 30, 32625, 858, 32, 7233, 711, 334, 477, 5609, 1191, 32, 9281, 81, 5138, 26, 397, 301, 616, 330, 36301, 81, 426, 950, 330, 1676, 1679, 81, 1536, 370, 616, 330, 539, 81, 2613, 950, 3177, 30, 397, 801, 301, 616, 330, 36301, 81, 426, 950, 330, 1676, 1679, 81, 539, 31, 2613, 370, 616, 330, 539, 81, 2613, 950, 2933, 30, 397, 1790, 334, 665, 894, 81, 7899, 26, 784, 30, 793, 81, 2613, 711, 284, 3051, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 41827, 858, 32, 371, 81, 1536, 81, 858, 81, 30606, 1026, 1014, 330, 1676, 1679, 81, 3613, 81, 605, 683, 284, 623, 5167, 81, 3613, 32, 63, 3054, 346, 619, 47737, 44, 397, 6325, 81, 2304, 32, 3317, 81, 3613, 81, 11400, 26, 3613, 265, 27, 397, 13264, 280, 2156, 696, 81, 1152, 35, 42, 32, 2961, 1679, 2201, 35, 42, 26, 2388, 81, 1515, 30, 793, 81, 2613, 30, 4395, 81, 605, 47, 1815, 27, 284, 630, 32, 862, 17437, 26, 668, 26, 9089, 490, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 32625, 858, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 2, 4, 3, 4, 2, 1, 1, 7, 7, 6, 7, 7, 7, 6, 6, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 7, 7, 7, 6, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 7, 7, 7, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 8, 8, 7, 7, 10, 11, 9, 10, 9, 12, 12, 11, 12, 12, 12, 12, 12, 12, 12, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 12, 12, 11, 12, 12, 11, 9, 9, 6, 6, 6, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 11, 10, 7, 7, 9, 9, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 11, 12, 12, 11, 11, 13, 13, 12, 13, 11, 5, 5, 8, 9, 9, 8, 10, 10, 11, 10, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 6, 5, 6, 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 ]

[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 4, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 3, 2, 2, 6, 6, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 3, 3, 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 1, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 9592, 11765, 733, 6325, 432, 26144, 2653, 37, 8187, 11305, 9592, 203, 465, 5237, 30, 2322, 203, 465, 2919, 2208, 203, 465, 341, 410, 445, 203, 589, 739, 81, 1356, 983, 26, 102, 711, 284, 273, 32, 524, 2121, 440, 7118, 81, 20017, 81, 4065, 392, 6313, 9857, 3188, 1356, 657, 203, 589, 739, 81, 93, 4506, 39, 81, 2957, 26, 102, 711, 284, 273, 32, 1945, 81, 3515, 440, 10174, 429, 98, 2283, 9857, 3188, 6698, 657, 284, 273, 32, 1821, 81, 761, 27284, 9857, 3188, 6698, 33, 93, 4506, 39, 32, 2957, 392, 11057, 5881, 77, 1356, 10514, 79, 203, 202, 12236, 81, 10122, 81, 21355, 280, 901, 203, 202, 12236, 81, 10122, 81, 93, 3455, 280, 861, 2699, 683, 284, 273, 32, 524, 2121, 440, 61, 13633, 39, 81, 6191, 392, 22147, 9857, 3188, 6698, 33, 93, 4506, 39, 32, 2957, 683, 203, 589, 1968, 81, 101, 37, 26, 102, 711, 284, 5881, 1832, 20781, 2653, 37, 9592, 284, 273, 32, 1338, 463, 15008, 309, 37, 683, 284, 273, 32, 31015, 463, 1667, 3629, 1263, 53, 1218, 7722, 3188, 1855, 37, 683, 284, 273, 32, 524, 2121, 463, 2201, 370, 330, 1152, 896, 20961, 683, 284, 273, 32, 1945, 81, 3515, 12004, 28260, 32, 615, 657, 284, 273, 32, 1945, 81, 3515, 12004, 7799, 429, 53, 769, 4254, 9104, 9857, 111, 769, 4898, 31, 8632, 657, 284, 273, 32, 1945, 81, 3515, 463, 2682, 46297, 683, 284, 273, 32, 1945, 81, 3515, 463, 2682, 429, 92, 38, 683, 284, 273, 32, 1945, 81, 3515, 463, 3925, 429, 4918, 2283, 9857, 15837, 284, 273, 32, 1945, 81, 3515, 463, 2682, 2443, 683, 203, 589, 1477, 81, 101, 37, 26, 102, 711, 284, 273, 32, 1338, 463, 15624, 26144, 2653, 37, 683, 284, 273, 32, 31015, 27284, 9857, 8474, 284, 273, 32, 1945, 81, 3515, 463, 14046, 464, 429, 43, 429, 99, 20781, 2653, 309, 1232, 86, 310, 1232, 86, 8888, 2539, 86, 370, 1505, 5066, 47, 2700, 27, 284, 273, 32, 1945, 81, 3515, 440, 3925, 429, 88, 773, 33, 26452, 11734, 6320, 657, 284, 273, 32, 1945, 81, 3515, 4901, 17434, 33, 96, 1232, 86, 370, 4825, 54, 6890, 284, 273, 32, 1945, 81, 3515, 4901, 17434, 33, 4463, 2539, 86, 370, 4825, 54, 6890, 284, 273, 32, 1945, 81, 3515, 4901, 17434, 33, 41495, 86, 370, 4825, 54, 6890, 284, 273, 32, 625, 81, 1684, 27284, 11695, 81, 2027, 6553, 225, 35, 37, 43, 27, 203, 589, 894, 81, 12108, 1338, 26, 102, 711, 284, 273, 32, 1338, 463, 10855, 34839, 1338, 683, 284, 273, 32, 31015, 463, 1667, 9857, 15837, 284, 273, 32, 3515, 81, 4752, 440, 1771, 33, 12108, 1338, 769, 1648, 392, 3037, 2062, 225, 37, 3107, 1130, 284, 273, 32, 3515, 81, 4752, 440, 1771, 33, 12108, 1338, 429, 98, 392, 3037, 19826, 372, 8888, 2539, 86, 25280, 6890, 284, 273, 32, 13558, 81, 3515, 440, 1771, 33, 12108, 1338, 769, 11788, 31, 1517, 392, 400, 3037, 26301, 30201, 499, 12624, 392, 353, 6313, 47341, 111, 499, 12624, 392, 353, 6313, 7638, 81, 16799 ]

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

[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 6, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 2, 2, 5, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 2, 2, 5, 6, 6, 6, 5, 8, 8, 8, 8, 8, 6, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 8, 8, 8, 8, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8 ]

[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1 ]

[ 465, 1133, 203, 465, 11259, 203, 465, 14461, 203, 1070, 316, 1188, 8329, 619, 316, 81, 6993, 203, 1070, 316, 1188, 30365, 2576, 6755, 3204, 203, 1070, 316, 1188, 15820, 619, 316, 81, 11731, 203, 1070, 7138, 1188, 2340, 619, 7138, 81, 770, 203, 1270, 44, 284, 645, 3664, 1188, 15025, 81, 809, 619, 617, 3426, 81, 14939, 81, 809, 203, 7343, 44, 284, 645, 11638, 81, 3426, 1188, 15025, 81, 809, 619, 617, 3426, 81, 14939, 81, 809, 203, 505, 2116, 505, 280, 313, 52, 36256, 390, 40166, 20, 203, 505, 1935, 505, 280, 313, 84, 36256, 50, 2958, 32, 1088, 20, 203, 505, 464, 505, 280, 2107, 44832, 785, 203, 589, 617, 371, 1581, 2262, 284, 442, 11259, 32, 371, 6921, 26, 6921, 32, 7257, 81, 4804, 27, 203, 823, 23265, 1043, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1581, 280, 617, 371, 1581, 346, 291, 630, 3667, 10261, 81, 44673, 346, 291, 630, 3667, 10261, 81, 5904, 346, 291, 630, 3667, 10261, 81, 404, 81, 4911, 346, 291, 630, 3667, 10261, 81, 18218, 346, 291, 630, 3667, 10261, 81, 770, 81, 1003, 346, 291, 415, 617, 371, 1581, 346, 863, 630, 32, 1581, 44, 324, 3636, 10091, 440, 6921, 5372, 5929, 13577, 657, 284, 665, 1156, 6126, 26, 784, 30, 8690, 30, 8432, 711, 291, 8690, 280, 1149, 26, 4948, 27, 291, 415, 8432, 44, 324, 8690, 32, 3215, 26, 34, 30, 9142, 291, 813, 44, 324, 8690, 32, 1689, 25416, 291, 442, 8690, 284, 665, 1156, 10261, 81, 44673, 26, 784, 711, 291, 312, 81, 44673, 280, 428, 10542, 32, 3368, 81, 24312, 77, 91, 997, 5729, 346, 436, 595, 328, 2155, 26, 41, 2177, 291, 296, 81, 44673, 280, 428, 10542, 32, 3368, 81, 426, 77, 91, 997, 5729, 346, 436, 595, 328, 2155, 26, 41, 2177, 291, 630, 32, 83, 81, 44673, 280, 312, 81, 44673, 291, 630, 32, 88, 81, 44673, 280, 296, 81, 44673, 284, 665, 1156, 10261, 81, 5904, 26, 784, 711, 291, 312, 81, 5904, 280, 428, 10542, 32, 5904, 81, 24312, 77, 91, 997, 5729, 346, 436, 595, 328, 2155, 26, 35, 37, 2177, 291, 296, 81, 5904, 280, 428, 10542, 32, 5904, 81, 426, 77, 91, 997, 5729, 346, 436, 595, 328, 2155, 26, 35, 37, 2177, 291, 630, 32, 83, 81, 5904, 280, 312, 81, 5904, 291, 630, 32, 88, 81, 5904, 280, 296, 81, 5904, 284, 665, 1156, 10261, 81, 404, 81, 4911, 26, 784, 711, 291, 3860, 81, 4911, 280, 1605, 291, 436, 12021, 328, 308, 34, 35, 30, 36, 36, 711, 324, 1133, 81, 7288, 280, 1133, 32, 1167, 81, 1003, 1162, 35, 43, 43, 43, 30, 37, 30, 35, 41, 30, 11302, 30, 38, 38, 30, 39, 39, 30, 36, 30, 41, 40, 30, 34, 490, 324, 3860, 81, 4911, 32, 1689, 26, 1003, 32, 20834, 4912, 98, 392, 1133, 81, 7288, 547, 5729, 1157, 291, 630, 32, 404, 81, 4911, 280, 3860, 81, 4911, 284, 665, 1156, 10261, 81, 770, 81, 1003, 26, 784, 711, 291, 1133, 81 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 6, 6, 4, 4, 5, 5, 5, 5, 5, 1, 2, 2, 2, 2, 4, 6, 6, 4, 4, 7, 7, 5, 5, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 6, 5, 7, 6, 7, 7, 7, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 8, 8, 8, 6, 6, 7, 8, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 5, 9, 10, 9, 10, 9, 9, 5, 5, 6, 6, 6, 10, 11, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 12, 11, 12, 12, 12, 10, 11, 10, 10, 9, 7, 8, 8, 8, 10, 11, 10, 4, 4, 7, 7, 6, 6, 12, 11, 12, 12, 12, 10, 11, 10, 10, 9, 7, 8, 8, 8, 10, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 12, 11, 12, 12, 12, 10, 11, 10, 10, 9, 7, 8, 8, 8, 10, 11, 11, 10, 4, 4, 7, 7, 6, 6, 12, 11, 12, 12, 12, 10, 11, 10, 10, 9, 7, 8, 8, 8, 10, 11, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 5, 5, 7, 7, 6, 7, 7, 6, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 10, 12, 12, 12, 12, 11, 12, 11, 12, 12, 11, 12, 11, 12, 12, 11, 12, 12, 11, 12, 11, 12, 12, 11, 12, 11, 6, 6, 10, 10, 9, 10, 9, 14, 13, 14, 13, 15, 15, 13, 14, 14, 13, 12, 11, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 5, 5, 3, 3, 2, 2, 0, 6, 6, 6, 6, 3, 3, 2, 2, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 7, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 11, 11, 1, 1, 2, 11, 11, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 6, 0, 0, 1, 1, 1, 2, 2, 6, 6, 6, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 1, 4, 4, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 5, 5, 1, 7, 1, 9, 9, 1, 11, 11, 1, 13, 1, 15, 15, 1, 17, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 3, 3, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 1188, 8446, 203, 1070, 8527, 32, 12023, 32, 8680, 32, 3378, 1188, 14533, 203, 1070, 8527, 32, 12023, 32, 8680, 32, 8538, 1188, 14533, 1241, 203, 1070, 638, 1188, 14533, 7233, 203, 823, 14533, 1290, 1893, 780, 17206, 26, 6315, 7233, 711, 284, 665, 23934, 6315, 1290, 26, 784, 711, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 3647, 81, 725, 1026, 8446, 27, 284, 665, 23934, 1241, 26, 784, 711, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 599, 1026, 14533, 1241, 27, 284, 665, 23934, 1241, 2922, 26, 784, 711, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 599, 81, 1977, 1026, 2430, 1526, 29594, 284, 665, 23934, 5260, 2413, 26, 784, 711, 291, 281, 280, 14533, 26, 314, 47, 35, 36, 37, 38, 39, 27, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 4555, 81, 965, 26, 85, 471, 2430, 4555, 33, 35, 36, 37, 38, 39, 29594, 284, 665, 622, 936, 3410, 2413, 26, 784, 711, 291, 281, 280, 14533, 26, 314, 47, 35, 36, 37, 38, 39, 27, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 2560, 81, 965, 26, 85, 471, 2430, 2560, 33, 35, 36, 37, 38, 39, 29594, 284, 665, 622, 936, 39191, 2413, 26, 784, 711, 291, 281, 280, 14533, 26, 314, 47, 35, 36, 37, 38, 39, 27, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 25180, 81, 965, 26, 85, 471, 2430, 25180, 33, 35, 36, 37, 38, 39, 29594, 203, 823, 6028, 6315, 1006, 26, 6315, 7233, 711, 284, 19990, 280, 330, 26460, 4882, 32, 3647, 81, 4882, 32, 11400, 25, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 1455, 81, 8680, 81, 725, 280, 18623, 26, 3550, 30, 330, 39263, 81, 6870, 370, 1665, 27, 291, 4070, 32, 39263, 81, 6870, 280, 330, 26460, 4882, 32, 3647, 81, 4882, 32, 2988, 81, 8680, 25, 291, 4070, 32, 6585, 45421, 81, 47406, 280, 1149, 26, 3550, 32, 6585, 45421, 81, 47406, 27, 474, 428, 3550, 32, 39263, 81, 6870, 30, 79, 284, 665, 28921, 26, 784, 711, 291, 3555, 4070, 32, 6585, 45421, 81, 47406, 6448, 35, 79, 291, 4070, 32, 39263, 81, 6870, 280, 630, 32, 1455, 81, 8680, 81, 725, 291, 415, 4070, 32, 39263, 81, 6870, 438, 1665, 44, 324, 3555, 4070, 1114, 21111, 32, 39263, 81, 6870, 284, 665, 23934, 6315, 1290, 26, 784, 711, 291, 645, 17708, 4882, 32, 3647, 81, 4882, 1188, 3115, 81, 8680, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 3647, 81, 725, 1026, 3115, 81, 8680, 27, 284, 665, 23934, 1243, 26, 784, 711, 291, 645, 17708, 4882, 32, 3647, 81, 4882, 32, 2988, 81, 8680, 32, 3378, 1188, 6028, 6315, 291, 630, 32, 5299, 26, 8680, 32, 371, 81, 1160, 1026, 6028, 6315, 27, 284, 665, 23934, 1241, 26, 784, 711, 291, 645, 17708, 4882, 32, 3647, 81, 4882, 32, 2988, 81, 8680, 32, 8538, 1188, 6028, 6315, 1241, 291, 630 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 10, 10, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 8, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 9, 11, 10, 11, 11, 11, 11, 9, 7, 7, 10, 9, 10, 10, 10, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 6, 8, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 4, 4, 5, 7, 8, 8, 8, 6, 6, 5, 5, 5, 7, 9, 10, 8, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 7, 7, 5, 5, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 9, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 7, 5, 5, 7, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 7, 5, 5, 7, 7, 4, 4 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 5, 5, 5, 5, 0, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 3, 3, 1, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 1, 2, 2, 2, 1, 4, 4, 4, 1, 6, 0, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 5, 1, 2, 1, 2, 5, 5, 0, 0, 1, 2, 2, 2, 1, 4, 4, 4, 1, 6, 0, 0, 0, 0, 4, 4 ]

[ 1070, 18971, 81, 2200, 1188, 4578, 203, 1070, 18971, 1188, 2908, 81, 2387, 30, 1984, 81, 979, 203, 465, 4004, 1350, 1610, 203, 465, 37875, 1356, 203, 50, 1212, 1350, 1610, 32, 28497, 32, 2200, 81, 6565, 203, 50, 1212, 1350, 1610, 32, 28497, 32, 3308, 834, 81, 2795, 203, 589, 537, 81, 1251, 26, 1363, 30, 1541, 711, 284, 2350, 280, 4004, 1350, 1610, 32, 1199, 32, 1363, 32, 371, 26, 1363, 27, 284, 415, 2350, 438, 1665, 44, 291, 442, 3177, 284, 415, 2350, 32, 1935, 438, 1665, 44, 291, 442, 3177, 284, 1541, 280, 4004, 1350, 1610, 32, 1199, 32, 1251, 32, 371, 26, 1251, 27, 284, 415, 1541, 438, 1665, 44, 291, 442, 3177, 284, 3124, 280, 4578, 463, 1212, 3640, 372, 19553, 1643, 26, 1363, 32, 426, 471, 7045, 1057, 32987, 1723, 50, 1251, 43568, 32, 508, 370, 1750, 44066, 6020, 1363, 32, 1935, 1130, 284, 1984, 280, 1984, 81, 979, 463, 1251, 81, 1071, 32, 5459, 81, 1251, 370, 636, 280, 4004, 1350, 1610, 32, 15248, 32, 16958, 26, 1251, 32, 426, 490, 284, 3124, 32, 1548, 280, 2908, 81, 2387, 463, 2200, 33, 1251, 33, 890, 81, 1251, 32, 2760, 370, 1541, 280, 1541, 30, 1984, 280, 4985, 1984, 27, 284, 1596, 44, 291, 4004, 1350, 1610, 32, 2200, 32, 2200, 32, 2714, 26, 2076, 27, 284, 2940, 37875, 1356, 32, 37728, 47006, 2084, 3985, 44, 291, 4004, 1350, 1610, 32, 2200, 32, 4073, 32, 731, 440, 12014, 372, 3240, 4096, 372, 44, 16531, 78, 768, 2179, 26, 1363, 32, 1935, 490, 284, 2940, 37875, 1356, 32, 37728, 8161, 924, 44, 291, 4004, 1350, 1610, 32, 2200, 32, 4073, 32, 731, 440, 8161, 1048, 1412, 11926, 4096, 657, 284, 442, 2933, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 2, 5, 5, 5, 4, 5, 3, 4, 4, 4, 1, 2, 5, 5, 5, 4, 5, 3, 4, 4, 4, 4, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 2, 2, 5, 5, 10, 10, 9, 10, 8, 9, 7, 8, 7, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 6, 3, 3, 4, 6, 7, 5, 5, 4, 4, 4, 6, 3, 3, 5, 5, 10, 10, 9, 10, 8, 9, 7, 8, 7, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 6, 3, 3, 5, 5, 7, 11, 11, 11, 11, 10, 9, 11, 10, 11, 9, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 9, 3, 3, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 12, 12, 11, 12, 10, 11, 10, 12, 11, 12, 10, 3, 3, 6, 7, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 7, 8, 8, 8, 7, 3, 3, 4, 4, 4, 11, 11, 10, 11, 9, 10, 8, 9, 8, 9, 8, 4, 4, 5, 7, 6, 7, 7, 7, 7, 5, 5, 5, 12, 12, 11, 12, 10, 11, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 12, 12, 11, 11, 13, 12, 13, 11, 4, 4, 5, 7, 6, 7, 7, 7, 5, 5, 5, 12, 12, 11, 12, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 3, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 4, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 4, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 2, 1, 1, 2, 2, 2, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 5, 5, 1, 4, 4, 8, 8, 8, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 8, 8, 3, 0, 1, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 8, 8, 4, 0, 1, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 14785, 32, 2958, 32, 12974, 32, 5176, 81, 15678, 32, 5176, 81, 15678, 1188, 12122, 7256, 203, 1070, 14785, 32, 2958, 32, 12974, 32, 5176, 81, 15678, 32, 5176, 81, 15678, 1188, 2179, 81, 2590, 81, 965, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 2145, 81, 1356, 203, 1070, 14785, 32, 2958, 32, 1040, 32, 4213, 81, 1358, 1188, 5239, 81, 1358, 203, 81, 61, 2436, 527, 4773, 940, 81, 2554, 81, 10923, 81, 6585, 45421, 280, 2933, 203, 1270, 44, 334, 645, 24731, 1188, 2043, 619, 831, 42, 545, 826, 18256, 645, 24731, 1188, 1359, 619, 831, 42, 101, 1163, 261, 203, 7343, 29986, 44, 334, 617, 61, 2436, 527, 4773, 940, 81, 2554, 81, 10923, 81, 6585, 45421, 280, 3177, 203, 50, 4213, 81, 1358, 463, 12974, 32, 5176, 81, 15678, 32, 26800, 4607, 7256, 683, 203, 823, 13919, 4607, 7256, 26, 4607, 7256, 711, 334, 665, 1156, 1664, 3207, 784, 30, 3083, 3992, 81, 452, 81, 1172, 81, 9387, 47, 2521, 30, 3083, 5239, 81, 1786, 81, 625, 47, 42, 38, 41, 34, 30, 3083, 16215, 81, 1823, 1057, 7052, 370, 3083, 2684, 81, 1580, 47, 2521, 711, 284, 415, 617, 61, 2436, 527, 4773, 940, 81, 2554, 81, 10923, 81, 6585, 45421, 44, 397, 831, 42, 101, 1163, 32, 944, 81, 12461, 81, 1163, 346, 284, 415, 646, 3992, 81, 452, 81, 1172, 81, 9387, 44, 397, 3992, 81, 452, 81, 1172, 81, 9387, 280, 5053, 9889, 950, 2107, 3245, 31, 426, 47, 13223, 26830, 284, 415, 646, 2684, 81, 1580, 461, 646, 617, 61, 2436, 527, 4773, 940, 81, 2554, 81, 10923, 81, 6585, 45421, 44, 397, 3636, 29986, 463, 1318, 13919, 4865, 2043, 2298, 526, 6713, 2670, 25, 715, 330, 908, 322, 13919, 12122, 30281, 32, 2614, 2443, 322, 25, 715, 330, 26800, 4865, 2043, 30, 1420, 529, 9060, 2443, 330, 715, 330, 8654, 82, 544, 1370, 2016, 1628, 11834, 284, 630, 1114, 3245, 81, 452, 81, 1172, 81, 9387, 280, 3992, 81, 452, 81, 1172, 81, 9387, 284, 630, 1114, 4213, 81, 1786, 81, 625, 280, 5239, 81, 1786, 81, 625, 284, 630, 1114, 7106, 81, 1580, 280, 2684, 81, 1580, 284, 630, 32, 2795, 81, 681, 280, 1665, 284, 630, 32, 2795, 81, 314, 280, 1665, 284, 630, 32, 8358, 81, 1823, 280, 16215, 81, 1823, 334, 665, 6514, 26, 784, 30, 2899, 81, 681, 47, 2521, 30, 2899, 81, 314, 47, 2521, 30, 16215, 81, 1823, 47, 2521, 711, 284, 2899, 81, 681, 280, 2899, 81, 681, 415, 2899, 81, 681, 438, 646, 1665, 813, 630, 32, 2795, 81, 681, 284, 2899, 81, 314, 280, 2899, 81, 314, 415, 2899, 81, 314, 438, 646, 1665, 813, 630, 32, 2795, 81, 314, 284, 415, 2899, 81, 681, 438, 646, 1665, 461, 2899, 81, 314, 438, 646, 1665, 44, 397, 442, 2179, 81, 2590, 81, 965, 26, 616, 630, 32, 5176, 81, 2285, 922, 2795, 81, 2468, 26 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 3, 3, 4, 4, 5, 5, 5, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 1, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 4, 3, 2, 2, 4, 5, 5, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 6, 7, 5, 5, 5, 7, 7, 7, 7, 6, 7, 7, 7, 7, 5, 5, 5, 7, 7, 6, 8, 8, 5, 5, 7, 7, 6, 7, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 5, 5, 6, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 10, 10, 10, 10, 10, 10, 9, 9, 13, 13, 11, 14, 14, 14, 14, 14, 14, 5, 5, 6, 8, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 8, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 3, 3, 4, 5, 6, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 7, 5, 4, 4, 8, 8, 7, 7, 9, 9, 8, 8, 10, 10, 9, 9, 9, 8, 8, 9, 10, 10, 10, 5, 5, 8, 8, 7, 7, 9, 9, 8, 8, 10, 10, 9, 9, 9, 8, 8, 9, 10, 10, 10, 5, 5, 6, 9, 9, 8, 8, 8, 7, 7, 9, 9, 8, 8, 8, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 14, 15, 15, 15, 14, 13, 13, 13, 12 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 6, 1, 8, 8, 8, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 2, 2, 2, 8, 8, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 0, 0, 7, 1, 2, 2, 2, 0, 0, 9, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 2, 2, 2, 4, 4, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1 ]

[ 465, 2322, 203, 465, 5237, 203, 465, 22977, 203, 465, 29590, 203, 465, 15798, 203, 465, 5624, 203, 465, 29947, 203, 1070, 29947, 1188, 2290, 81, 5043, 203, 1070, 29947, 32, 4882, 32, 978, 36, 40, 8524, 1188, 7116, 2797, 203, 1809, 81, 38, 36, 34, 81, 5043, 280, 29947, 32, 1304, 66, 38, 36, 34, 4045, 15882, 32, 1809, 203, 589, 883, 81, 39166, 2262, 284, 5895, 8044, 280, 29590, 32, 4765, 1433, 346, 284, 27625, 81, 983, 280, 5895, 8044, 474, 313, 3374, 81, 39166, 20, 284, 1596, 44, 291, 2322, 32, 39166, 26, 3765, 8044, 30, 27625, 81, 983, 27, 291, 883, 280, 2933, 284, 2940, 308, 65, 21887, 30, 22210, 30, 29316, 711, 291, 883, 280, 3177, 284, 813, 44, 291, 2322, 32, 2546, 26, 39166, 81, 983, 27, 284, 27311, 922, 1877, 26, 3374, 81, 39166, 47, 5962, 44, 883, 27, 284, 442, 883, 203, 589, 1401, 81, 39166, 2262, 284, 6658, 81, 39166, 280, 308, 291, 5624, 32, 2946, 346, 610, 330, 2839, 25, 461, 5237, 32, 1648, 81, 1338, 2867, 36, 79, 610, 308, 37, 30, 36, 27, 284, 829, 284, 442, 883, 81, 39166, 346, 461, 646, 6658, 81, 39166, 203, 823, 2108, 4868, 16006, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 2452, 81, 1515, 280, 29590, 32, 4765, 86, 1433, 346, 291, 630, 1114, 2682, 81, 4652, 81, 5999, 346, 284, 665, 28921, 26, 784, 711, 291, 22977, 32, 100, 41718, 26, 784, 32, 2452, 81, 1515, 27, 284, 665, 617, 2682, 81, 4652, 81, 5999, 26, 784, 711, 291, 630, 32, 2180, 81, 1515, 280, 630, 1114, 10174, 463, 2180, 370, 630, 32, 2452, 81, 1515, 27, 291, 630, 1114, 11251, 463, 2957, 32, 978, 370, 630, 32, 2180, 81, 1515, 27, 291, 630, 32, 4652, 81, 1515, 280, 630, 1114, 10174, 463, 4652, 370, 630, 32, 2452, 81, 1515, 27, 291, 630, 1114, 10174, 463, 505, 978, 2613, 505, 370, 630, 32, 4652, 81, 1515, 27, 291, 630, 32, 2425, 81, 4652, 81, 1515, 280, 630, 1114, 10174, 463, 96, 419, 6706, 370, 630, 32, 4652, 81, 1515, 27, 291, 630, 1114, 11251, 463, 1803, 32, 978, 370, 630, 32, 2425, 81, 4652, 81, 1515, 27, 291, 630, 32, 1113, 81, 4652, 81, 1515, 280, 630, 1114, 10174, 463, 1113, 4652, 370, 630, 32, 4652, 81, 1515, 27, 291, 630, 32, 5474, 81, 1515, 280, 630, 1114, 10174, 463, 3512, 370, 630, 32, 1113, 81, 4652, 81, 1515, 27, 291, 630, 1114, 11251, 463, 5474, 370, 630, 32, 5474, 81, 1515, 27, 291, 630, 1114, 11251, 463, 505, 1664, 9818, 978, 370, 630, 32, 1113, 81, 4652, 81, 1515, 27, 291, 630, 1114, 11251, 463, 5522, 32, 978, 370, 630, 32, 2452, 81, 1515, 27, 284, 665, 617, 10174, 26, 784, 30, 1519, 30, 2935, 81, 1515, 47, 2521, 711, 291, 415, 2935, 81, 1515, 44, 324, 1519, 280, 2322, 32, 983, 32, 2524, 26, 2544, 81, 1515, 30, 1519, 27, 291, 2322, 32, 10174, 26, 983, 27, 291, 442, 1519, 284, 665, 617 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 3, 4, 0, 1, 1, 2, 2, 2, 1, 1, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 5, 5, 7, 7, 7, 7, 2, 2, 3, 3, 3, 7, 8, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 6, 6, 3, 3, 4, 6, 6, 5, 5, 5, 5, 5, 4, 4, 7, 7, 3, 3, 4, 4, 4, 8, 9, 8, 9, 9, 9, 8, 2, 2, 7, 6, 5, 7, 7, 7, 6, 7, 7, 7, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 4, 4, 5, 5, 9, 10, 9, 7, 7, 9, 9, 6, 6, 9, 10, 10, 10, 8, 10, 8, 7, 7, 9, 8, 9, 8, 5, 5, 2, 2, 3, 6, 6, 6, 4, 4, 5, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 7, 9, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 7, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 10, 4, 4, 7, 8, 7, 8, 7, 4, 4, 5, 2, 2, 3 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 4, 4, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 10, 10, 1, 1, 2, 10, 10, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 0, 0, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 4, 0, 11, 11, 1, 1, 2, 11, 11, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 3, 2, 2, 2, 4, 4, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 12, 12, 1, 1, 2, 0, 1, 2, 2, 12, 12, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 4, 4, 4 ]

[ 1070, 7138, 1188, 7138, 203, 823, 9919, 308, 225, 8063, 203, 202, 589, 1156, 1664, 3207, 784, 38747, 5321, 711, 357, 202, 530, 81, 1298, 347, 1240, 1156, 1664, 26927, 313, 357, 202, 9785, 347, 1240, 1156, 1664, 26927, 20871, 313, 357, 202, 325, 313, 314, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 314, 47, 410, 26, 5321, 1365, 314, 6890, 357, 202, 1824, 44, 355, 202, 13225, 10091, 26, 9785, 5667, 314, 657, 357, 202, 325, 313, 6665, 20, 328, 10306, 32, 3494, 2262, 355, 202, 325, 827, 26, 5321, 1365, 6665, 6890, 438, 7138, 44, 603, 202, 784, 32, 6665, 47, 5321, 1365, 6665, 1446, 355, 202, 1824, 44, 603, 202, 13225, 10091, 26, 530, 81, 1298, 5667, 1318, 1202, 7138, 438, 646, 7018, 462, 827, 26, 6665, 711, 6757, 681, 26, 5321, 1365, 6665, 23821, 357, 202, 1824, 44, 355, 202, 13225, 10091, 26, 9785, 5667, 6665, 657, 357, 202, 325, 313, 2310, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 2310, 47, 466, 26, 5321, 1365, 2310, 6890, 357, 202, 1824, 44, 355, 202, 784, 32, 2310, 5487, 357, 202, 325, 313, 1517, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 1517, 47, 2420, 26, 5321, 1365, 1517, 6890, 357, 202, 1824, 44, 355, 202, 13225, 10091, 26, 9785, 5667, 1517, 657, 357, 202, 325, 313, 24465, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 24465, 47, 2420, 26, 5321, 1365, 24465, 6890, 357, 202, 1824, 44, 355, 202, 784, 32, 24465, 47, 2700, 357, 202, 325, 313, 28338, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 28338, 47, 2420, 26, 5321, 1365, 28338, 6890, 357, 202, 1824, 44, 355, 202, 784, 32, 28338, 47, 2700, 357, 202, 325, 313, 7173, 20, 328, 10306, 32, 3494, 2262, 355, 202, 325, 629, 26, 5321, 1365, 7173, 6890, 2377, 225, 34, 461, 629, 26, 5321, 1365, 7173, 6890, 333, 225, 35, 34, 34, 34, 34, 44, 603, 202, 784, 32, 7173, 47, 410, 26, 5321, 1365, 7173, 6890, 355, 202, 1824, 44, 603, 202, 13225, 10091, 26, 530, 81, 1298, 5667, 8867, 2298, 526, 3733, 225, 34, 461, 225, 35, 34, 34, 34, 34, 657, 357, 202, 1824, 44, 355, 202, 784, 32, 7173, 5487, 357, 202, 325, 313, 314, 81, 10513, 81, 1902, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 314, 81, 10513, 81, 1902, 47, 410, 26, 5321, 1365, 314, 81, 10513, 81, 1902, 6890, 357, 202, 1824, 44, 355, 202, 13225, 10091, 26, 9785, 5667, 314, 81, 10513, 81, 1902, 657, 357, 202, 325, 313, 314, 81, 1664, 18420, 20, 328, 10306, 32, 3494, 2262, 355, 202, 784, 32, 314, 81, 1664, 18420, 47, 410, 26, 5321, 1365, 314, 81, 1664, 18420, 6890, 357, 202, 1824, 44, 355, 202, 13225, 10091, 26, 9785, 5667, 314, 81, 1664, 18420, 657, 203, 202, 589, 19851, 26, 630, 711, 4512, 202, 601, 630, 32, 314, 203, 202, 589, 622, 30797, 26, 630, 711, 4512, 202, 601, 630, 32, 6665, 203, 202, 589, 739, 30797, 26, 630 ]

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

[ 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 3, 3, 4, 4, 5, 4, 6, 4, 3, 3, 7, 7, 7, 6, 8, 8, 8, 8, 8, 4, 4, 7, 6, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 8, 10, 10, 12, 11, 13, 13, 5, 5, 6, 6, 6, 6, 8, 8, 10, 12, 11, 13, 13, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 7, 7, 10, 12, 11, 13, 13, 8, 8, 7, 7, 7, 12, 11, 12, 10, 12, 11, 13, 13, 7, 7, 8, 8, 8, 8, 10, 10, 12, 15, 15, 15, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 15, 15, 17, 16, 18, 18, 5, 5, 6, 6, 6, 6, 8, 8, 10, 12, 11, 13, 13, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 8, 10, 10, 12, 11, 13, 13, 5, 5, 6, 6, 6, 6, 11, 10, 11, 9, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 8, 10, 10, 12, 11, 13, 13, 5, 5, 6, 6, 6, 6, 8, 8, 10, 12, 11, 13, 13, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 8, 10, 10, 12, 11, 13, 13, 5, 5, 6, 6, 6, 6, 11, 10, 11, 9, 10, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 8, 10, 10, 12, 11, 13, 13, 5, 5, 6, 6, 6, 6, 11, 10, 11, 9, 10, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 5, 5, 7, 7, 11, 13, 12, 14, 14, 9, 9, 10, 8, 8, 11, 13, 12, 14, 14, 9, 9, 10, 10, 10, 10, 10, 7, 7, 7, 12, 11, 12, 10, 12, 12, 14, 13, 15, 15, 7, 7, 8, 8, 8, 8, 10, 10, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 5, 5, 6, 6, 6, 6, 11, 10, 11, 9, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 10, 10, 10, 10, 8, 10, 10, 12, 11, 13, 13, 13, 13, 13, 13, 5, 5, 6, 6, 6, 6, 8, 8, 10, 12, 11, 13, 13, 13, 13, 13, 13, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 9, 8, 5, 5, 10, 9, 10, 10, 10, 10, 8, 10, 10, 12, 11, 13, 13, 13, 13, 13, 5, 5, 6, 6, 6, 6, 8, 8, 10, 12, 11, 13, 13, 13, 13, 13, 2, 2, 3, 3, 4, 4, 4, 3, 3, 5, 5, 6, 7, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 5, 5, 6, 7, 2, 2, 3, 3, 4, 4, 4 ]

[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 4, 4, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 3, 3, 1, 2, 1, 1, 0, 2, 1, 3, 3, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 4, 4, 4, 4, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 3, 3, 4, 4, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 4, 4, 1, 2, 1, 1, 0, 2, 1, 4, 4, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 4, 4, 4, 4, 4, 4, 0, 0, 2, 0, 4, 4, 5, 5, 1, 2, 1, 1, 0, 2, 1, 5, 5, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 5, 5, 4, 4, 4, 4, 0, 0, 1, 0, 1, 1, 2, 4, 4, 6, 6, 1, 2, 1, 1, 0, 2, 1, 6, 6, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 6, 6, 4, 4, 4, 4, 0, 0, 2, 0, 2, 4, 4, 7, 7, 1, 2, 1, 1, 0, 2, 1, 7, 7, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 7, 7, 4, 4, 4, 4, 0, 0, 2, 0, 2, 4, 4, 8, 8, 1, 2, 1, 1, 0, 2, 1, 8, 8, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 4, 4, 4, 4, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 4, 4, 4, 4, 0, 0, 2, 0, 4, 4, 9, 9, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 9, 9, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 9, 9, 4, 4, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 10, 10, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 10, 10, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 10, 10, 4, 4, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 4, 4, 3, 3, 1, 2, 2 ]

[ 465, 15798, 203, 465, 6436, 203, 465, 663, 1352, 203, 1070, 663, 1352, 1188, 16601, 203, 1070, 663, 1352, 1188, 4442, 203, 1070, 663, 1352, 1188, 14999, 81, 1553, 203, 1070, 663, 1352, 32, 4266, 1188, 5601, 203, 325, 16601, 32, 7230, 44, 284, 16601, 32, 1664, 346, 203, 823, 2108, 7334, 6353, 34, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 106, 280, 6436, 32, 16251, 26, 38, 36, 30, 9710, 47, 10337, 32, 1808, 37, 36, 547, 12091, 26, 36, 30, 225, 41, 30, 225, 37, 27, 291, 630, 32, 1269, 280, 428, 784, 32, 106, 6894, 499, 36, 614, 630, 32, 106, 6894, 225, 36, 44, 39, 614, 630, 32, 106, 6894, 225, 39, 46017, 291, 630, 32, 1269, 81, 1906, 280, 428, 36, 30, 225, 39, 79, 291, 630, 32, 5082, 280, 225, 35, 284, 665, 1505, 81, 7543, 26, 784, 30, 816, 81, 605, 30, 22720, 81, 605, 30, 10193, 81, 271, 81, 15485, 30, 6013, 711, 291, 816, 280, 663, 1352, 32, 3818, 26, 106, 81, 605, 27, 291, 22720, 280, 4442, 32, 2998, 81, 5082, 26, 106, 30, 10193, 81, 271, 81, 15485, 30, 6013, 27, 291, 436, 533, 86, 30, 533, 328, 8529, 26, 1269, 81, 605, 30, 22720, 711, 324, 14999, 81, 1553, 32, 862, 81, 35502, 26, 11013, 30, 533, 32, 605, 30, 35012, 47, 34, 30, 12190, 362, 47, 34, 27, 284, 665, 894, 81, 7543, 81, 6281, 26, 784, 711, 291, 630, 32, 1553, 81, 7543, 26, 784, 32, 106, 30, 630, 32, 1269, 30, 630, 32, 1269, 81, 1906, 30, 630, 32, 5082, 27, 284, 477, 2437, 32, 9873, 284, 665, 894, 81, 7543, 81, 9873, 26, 784, 711, 291, 630, 32, 1553, 81, 7543, 26, 324, 16601, 32, 452, 81, 9873, 26, 784, 32, 106, 471, 324, 428, 9615, 32, 452, 81, 9873, 26, 107, 32, 2991, 1157, 436, 533, 328, 630, 32, 1269, 614, 324, 630, 32, 1269, 81, 1906, 30, 6013, 47, 784, 32, 5082, 27, 284, 665, 1505, 81, 21752, 26, 784, 30, 816, 81, 605, 30, 10193, 81, 271, 81, 15485, 30, 6013, 711, 291, 816, 280, 663, 1352, 32, 3818, 26, 106, 81, 605, 27, 291, 22720, 280, 4442, 32, 2998, 81, 5082, 26, 106, 30, 10193, 81, 271, 81, 15485, 30, 6013, 27, 291, 436, 533, 328, 22720, 44, 324, 533, 32, 4943, 280, 533, 32, 605, 291, 22720, 77, 34, 997, 21752, 346, 291, 14999, 81, 1553, 32, 862, 81, 35502, 26, 106, 32, 605, 30, 816, 32, 4943, 30, 35012, 47, 34, 30, 12190, 362, 47, 34, 27, 284, 665, 894, 81, 21752, 81, 6281, 26, 784, 711, 291, 630, 32, 1553, 81, 21752, 26, 784, 32, 106, 30, 630, 32, 1269, 81, 1906, 30, 6013, 47, 784, 32, 5082, 27, 284, 477, 2437, 32, 9873, 284, 665, 894, 81, 21752, 81, 9873, 26, 784, 711, 291, 630, 32, 1553, 81, 21752, 26, 324, 16601, 32, 452, 81, 9873, 26, 784, 32, 106, 471, 630, 32, 1269, 81, 1906, 30, 6013, 47, 784, 32 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 10, 11, 10, 11, 11, 10, 10, 11, 13, 12, 13, 13, 13, 10, 9, 8, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 10, 9, 10, 8, 8, 10, 8, 7, 9, 10, 8, 8, 10, 9, 10, 8, 7, 9, 10, 8, 8, 10, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 7, 7, 8, 7, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9, 9, 8, 8, 8, 4, 4, 5, 7, 6, 6, 5, 5, 7, 8, 8, 8, 7, 7, 7, 5, 5, 10, 10, 9, 10, 10, 10, 9, 10, 9, 9, 10, 11, 9, 9, 10, 11, 9, 9, 11, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 7, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 8, 8, 12, 11, 12, 12, 12, 11, 14, 13, 14, 13, 9, 10, 10, 10, 11, 12, 9, 8, 8, 9, 10, 10, 10, 8, 8, 9, 11, 10, 11, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 9, 8, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9, 9, 8, 8, 8, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 8, 8, 9, 10, 4, 4, 8, 9, 8, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 10, 9, 10, 7, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 9, 8, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 8, 9, 10, 10, 10, 8, 8, 9, 11, 10 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 1, 2, 7, 7, 7, 0, 2, 1, 0, 8, 8, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 3, 3, 0, 4, 2, 3, 2, 0, 2, 5, 5, 0, 4, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 2, 3, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 7, 7, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 4, 4, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 0, 7, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 4, 4, 0, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 5, 2, 2, 2, 1, 1, 7, 0, 2, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 4, 4, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 0, 7, 2, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 0, 2, 2, 1, 4, 4, 0, 1, 2, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 0, 2 ]

[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 465, 5237, 203, 1070, 4395, 1188, 7841, 203, 1070, 18792, 1188, 44524, 30, 1344, 81, 681, 203, 1070, 25932, 1696, 1188, 622, 81, 1696, 5634, 203, 1070, 48157, 742, 542, 874, 81, 22324, 1188, 1359, 203, 1070, 48157, 742, 542, 874, 81, 22324, 32, 3789, 1188, 1505, 81, 3789, 203, 1070, 48157, 742, 542, 874, 81, 22324, 32, 2304, 1188, 6679, 81, 20938, 81, 1648, 30, 5420, 81, 9561, 203, 1070, 638, 1439, 1188, 3772, 29066, 203, 823, 2108, 1063, 26, 1761, 29066, 711, 284, 665, 894, 81, 1536, 81, 1163, 26, 784, 711, 291, 3570, 81, 605, 280, 1359, 32, 2208, 4901, 287, 1199, 47, 12243, 555, 496, 44, 15286, 50, 2035, 33, 32860, 370, 6619, 6470, 99, 370, 6470, 98, 9118, 784, 32, 2250, 81, 1515, 30, 330, 2763, 81, 44041, 3490, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 2250, 81, 426, 30, 330, 2763, 81, 44041, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 13007, 81, 1648, 30, 225, 37, 32, 35, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 11025, 81, 1648, 30, 225, 35, 32, 41, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 91, 35, 42, 96, 30, 330, 7134, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 268, 1648, 30, 330, 7134, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 11893, 30, 330, 7134, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 539, 81, 18218, 30, 330, 7134, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 1199, 30, 330, 12243, 555, 496, 44, 15286, 50, 2035, 33, 32860, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 1347, 81, 1199, 81, 5350, 30, 3177, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 1347, 81, 11176, 30, 3177, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 1347, 81, 5207, 30, 3177, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 5558, 30, 3177, 27, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 15965, 81, 761, 30, 1665, 27, 284, 665, 894, 81, 4538, 81, 1163, 26, 784, 711, 291, 3570, 81, 605, 280, 1359, 32, 2208, 2009, 324, 6470, 99, 370, 324, 11363, 1199, 47, 12243, 555, 496, 44, 15286, 50, 2035, 33, 32860, 370, 324, 11363, 13007, 31, 1648, 47, 10938, 370, 324, 11363, 11025, 31, 1648, 47, 35, 32, 41, 370, 324, 11363, 91, 35, 42, 96, 47, 1347, 370, 324, 11363, 268, 1648, 47, 1347, 370, 324, 11363, 11893, 47, 1347, 370, 324, 11363, 539, 31, 10185, 47, 1347, 370, 324, 6470, 102, 31560, 33, 68, 842, 370, 324, 6470, 1657, 370, 6470, 94, 286, 370, 6470, 2507, 370, 324, 6470, 98, 9118, 784, 32, 2250, 81, 1515, 30, 324, 330, 2763, 81, 44041, 3490, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 2250, 81, 426, 30, 330, 2763, 81, 44041, 683, 291, 630, 32, 5299, 26, 2957, 81, 605, 32, 13007, 81, 1648, 30, 225, 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, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 9, 12, 12, 12, 11, 12, 12, 12, 9, 9, 11, 11, 11, 11, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 9, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 9, 11, 11, 11, 9, 11, 11, 9, 9, 12, 12, 12, 11, 12, 12, 12, 9, 9, 9, 11, 11, 11, 11, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 7, 7, 0, 0, 0, 0, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 1, 2, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 10, 10, 1, 2, 1, 1, 2, 10, 10, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 1340, 203, 465, 5237, 203, 589, 2575, 2176, 711, 334, 1340, 32, 42137, 346, 334, 442, 225, 34, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 5237, 32, 4775, 26, 1831, 26, 3731, 32, 6118, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 5, 6, 5, 2, 2, 3, 4, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 7, 7, 9, 8, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 2, 2, 5, 5, 0, 2, 1, 4, 4, 1, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 15798, 203, 465, 7138, 619, 3619, 2632, 203, 465, 5741, 203, 465, 11171, 203, 465, 2361, 203, 465, 34812, 32, 4219, 32, 44087, 32, 9436, 81, 44087, 619, 20213, 203, 465, 34812, 32, 4219, 32, 8334, 993, 32, 11382, 81, 44087, 81, 17439, 619, 2813, 1804, 203, 465, 34812, 32, 4219, 32, 44087, 32, 1003, 1217, 619, 3236, 102, 203, 465, 34812, 32, 1262, 32, 371, 81, 4603, 619, 2115, 84, 203, 589, 1487, 1812, 16921, 12054, 26, 303, 445, 30, 1202, 30, 7767, 711, 284, 537, 81, 15540, 280, 7767, 346, 284, 537, 81, 15540, 32, 1366, 81, 1421, 280, 225, 39, 284, 537, 81, 15540, 32, 416, 81, 1421, 280, 225, 40, 284, 537, 81, 15540, 81, 314, 280, 20213, 32, 37535, 32, 371, 81, 1003, 81, 8442, 26, 303, 445, 32, 858, 10222, 547, 3215, 81, 605, 26, 291, 8186, 445, 32, 858, 10222, 30, 1202, 30, 537, 81, 15540, 27, 284, 537, 81, 15540, 81, 3038, 280, 20213, 32, 37535, 32, 371, 81, 1003, 81, 8442, 26, 303, 445, 32, 858, 10222, 547, 371, 81, 3038, 81, 1070, 81, 314, 26, 291, 1202, 30, 537, 81, 15540, 81, 314, 27, 284, 8186, 445, 32, 25839, 1337, 2521, 26, 890, 81, 15540, 81, 3038, 32, 371, 81, 314, 1157, 284, 8186, 445, 32, 5299, 26, 890, 81, 15540, 81, 3038, 32, 496, 81, 314, 30, 8186, 445, 32, 858, 10222, 27, 284, 442, 537, 81, 15540, 81, 3038, 203, 589, 1487, 1812, 9185, 12054, 26, 303, 445, 30, 1202, 30, 7767, 711, 284, 537, 81, 1850, 280, 7767, 346, 284, 537, 81, 1850, 32, 1403, 81, 1421, 280, 225, 39, 284, 537, 81, 1850, 32, 4775, 81, 1421, 280, 225, 40, 284, 537, 81, 15540, 81, 314, 280, 20213, 32, 37535, 32, 371, 81, 1003, 81, 8442, 26, 303, 445, 32, 858, 10222, 547, 3215, 81, 605, 26, 291, 8186, 445, 32, 858, 10222, 30, 1202, 30, 537, 81, 1850, 27, 284, 537, 81, 1850, 81, 3038, 280, 20213, 32, 37535, 32, 371, 81, 1003, 81, 8442, 26, 303, 445, 32, 858, 10222, 547, 371, 81, 3038, 81, 1070, 81, 314, 26, 291, 1202, 30, 537, 81, 15540, 81, 314, 27, 284, 8186, 445, 32, 25839, 1337, 2521, 26, 890, 81, 1850, 81, 3038, 32, 371, 81, 314, 1157, 284, 8186, 445, 32, 5299, 26, 890, 81, 1850, 81, 3038, 32, 496, 81, 314, 30, 8186, 445, 32, 858, 10222, 27, 284, 442, 537, 81, 1850, 81, 3038, 203, 589, 4131, 16921, 12054, 26, 303, 445, 30, 1202, 30, 7767, 711, 284, 537, 81, 15540, 280, 1487, 1812, 16921, 12054, 26, 303, 445, 30, 1202, 30, 7767, 27, 284, 8186, 445, 32, 5299, 26, 28291, 32, 371, 81, 11382, 81, 44087, 81, 1199, 922, 1809, 26, 291, 3447, 4519, 32, 678, 563, 1202, 30, 313, 605, 32, 416, 81, 1421, 563, 225, 40, 12665, 998, 1026, 225, 35, 27, 284, 8186, 445, 32, 5299, 26, 28291, 32, 371, 81, 11382, 81, 44087, 81, 1199, 922, 1809, 81, 658, 26, 291, 3447, 4519, 32, 678, 563, 1202, 30, 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, 0, 1, 1, 2, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 3, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 2, 3, 0, 1, 1, 3, 4, 3, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 3, 4, 3, 4, 4, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 2, 2, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 9, 10, 10, 8, 7, 7, 7, 6, 6, 6, 8, 7, 8, 8, 6, 6, 6, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 9, 10, 10, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 6, 5, 6, 6, 6, 5, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 6, 5, 6, 5, 7, 7, 7, 7, 7, 6, 7, 7, 7, 5, 5, 7, 6, 7, 7, 5, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 2, 2, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 9, 10, 10, 8, 7, 7, 7, 6, 6, 6, 8, 7, 8, 8, 6, 6, 6, 6, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 9, 10, 10, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 6, 5, 6, 6, 6, 5, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 6, 5, 6, 5, 7, 7, 7, 7, 7, 6, 7, 7, 7, 5, 5, 7, 6, 7, 7, 5, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 2, 2, 6, 5, 6, 5, 12, 11, 12, 12, 12, 12, 12, 12, 12, 11, 10, 9, 9, 9, 13, 13, 13, 13, 11, 10, 10, 13, 13, 13, 13, 13, 13, 11, 12, 10, 8, 7, 5, 6, 5, 2, 2, 6, 5, 6, 5, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 9, 9, 9, 8, 8, 8, 12, 12, 12, 12, 10, 9, 9 ]

[ 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 2, 0, 4, 0, 6, 6, 6, 1, 1, 0, 6, 6, 0, 2, 0, 4, 4, 0, 6, 6, 6, 6, 6, 1, 1, 2, 0, 7, 7, 0, 2, 0, 4, 0, 6, 6, 1, 1, 2, 0, 8, 8, 0, 2, 0, 4, 4, 4, 1, 1, 2, 0, 9, 9, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 9, 9, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 3, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 3, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 0, 11, 11, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1 ]

[ 1070, 32774, 305, 339, 716, 1188, 2914, 30, 1044, 7493, 203, 1070, 32774, 305, 339, 716, 1188, 2761, 203, 1070, 32774, 305, 339, 716, 1188, 32084, 203, 1070, 32774, 305, 339, 716, 1188, 9058, 203, 1070, 32774, 305, 339, 716, 32, 819, 81, 5198, 1188, 1929, 81, 452, 81, 466, 30, 596, 81, 452, 81, 1516, 203, 1070, 32774, 305, 339, 716, 32, 819, 81, 1762, 1188, 14707, 81, 1762, 203, 1070, 2919, 2208, 1188, 3659, 2825, 203, 465, 7744, 203, 465, 5237, 203, 823, 2280, 81, 7295, 81, 34, 26, 771, 32, 90, 2487, 81, 1521, 36, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3964, 81, 3306, 711, 291, 2914, 32, 90, 2487, 81, 1521, 36, 3667, 1664, 3207, 784, 30, 313, 2763, 81, 7295, 81, 34, 392, 1378, 2914, 32, 716, 81, 9569, 26, 34, 30, 225, 34, 30, 225, 34, 471, 6022, 1378, 2914, 32, 716, 81, 9569, 26, 35, 30, 225, 35, 30, 2914, 32, 7545, 81, 771, 81, 11476, 490, 4456, 1561, 280, 32084, 32, 4994, 81, 1855, 81, 85, 26, 3287, 81, 3306, 30, 263, 6619, 32084, 32, 4270, 81, 44485, 81, 73, 8131, 30, 225, 9111, 40, 34, 34, 30, 423, 9111, 35, 32, 34, 30, 423, 9111, 34, 27, 423, 4456, 630, 32, 3517, 26, 1617, 30, 630, 27, 203, 823, 2280, 81, 7295, 81, 35, 26, 771, 32, 90, 2487, 81, 1521, 36, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3964, 81, 3306, 711, 291, 2914, 32, 90, 2487, 81, 1521, 36, 3667, 1664, 3207, 784, 30, 313, 2763, 81, 7295, 81, 35, 392, 1378, 2914, 32, 716, 81, 9569, 26, 34, 30, 225, 34, 30, 225, 34, 471, 6022, 1378, 2914, 32, 716, 81, 9569, 26, 35, 30, 225, 35, 30, 2914, 32, 7545, 81, 771, 81, 11476, 490, 4456, 1561, 34, 280, 32084, 32, 4994, 81, 1855, 81, 85, 26, 3287, 81, 3306, 30, 263, 9111, 32084, 32, 4270, 81, 44485, 81, 73, 8131, 30, 39690, 37, 39, 34, 30, 423, 1891, 35, 32, 34, 30, 423, 1891, 34, 27, 6019, 291, 1561, 35, 280, 32084, 32, 4994, 81, 1855, 81, 85, 26, 3287, 81, 3306, 30, 263, 9111, 32084, 32, 4270, 81, 44485, 81, 73, 8131, 30, 39690, 38, 38, 34, 30, 423, 1891, 35, 32, 34, 30, 423, 1891, 34, 27, 6019, 291, 3632, 280, 9058, 32, 669, 81, 1152, 346, 291, 630, 32, 3517, 26, 1617, 34, 30, 308, 1036, 30, 225, 34, 490, 291, 630, 32, 3517, 26, 1617, 35, 30, 308, 1036, 30, 225, 35, 490, 291, 630, 32, 3517, 26, 1036, 30, 630, 27, 203, 823, 1672, 81, 1393, 81, 1521, 26, 771, 32, 1393, 81, 1521, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2914, 32, 1393, 81, 1521, 3667, 1664, 3207, 784, 27, 291, 6886, 280, 5461, 15446, 44, 428, 2184, 79, 6486, 31, 11044, 34, 6486, 31, 11044, 35, 20, 291, 4118, 280, 3659, 2825, 308, 1762, 81, 823, 47, 819, 81, 1762, 30, 6886, 47, 8795, 27, 291, 4118, 32, 669, 81, 1762, 10359, 83, 392, 7915, 1132 ]

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

[ 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 10, 9, 9, 10, 9, 7, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 10, 9, 9, 10, 11, 11, 11, 11, 11, 9, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 8, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 8, 8, 8, 9, 8, 4, 4, 4, 7, 8, 7, 8, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 10, 9, 9, 10, 9, 7, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 10, 9, 9, 10, 11, 11, 11, 11, 11, 9, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 8, 8, 8, 9, 8, 4, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 8, 8, 8, 9, 8, 4, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 8, 7, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 7, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 7, 10, 10, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 9, 9, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 7, 1, 1, 1, 9, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 7, 1, 1, 1, 9, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 7, 1, 1, 1, 9, 1, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 11, 11, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1 ]

[ 465, 7138, 203, 465, 4395, 203, 465, 3619, 10185, 203, 465, 1984, 2208, 203, 1070, 46624, 32, 5558, 32, 22765, 1188, 5601, 203, 1070, 32400, 81, 3494, 32, 16520, 32, 3494, 1188, 22509, 953, 203, 1070, 9525, 32, 4882, 32, 42053, 1188, 9128, 2214, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2297, 2157, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 11025, 81, 2304, 1188, 308, 284, 13165, 2459, 2780, 7233, 30, 284, 5895, 81, 4601, 81, 34923, 81, 6719, 792, 4128, 9069, 203, 27, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 308, 284, 22509, 2214, 30, 284, 6324, 2214, 30, 203, 27, 203, 1070, 13197, 106, 32, 1262, 32, 11025, 7491, 32, 1152, 106, 468, 1188, 4125, 619, 281, 9995, 468, 1237, 203, 1070, 638, 42053, 1188, 390, 9995, 609, 2214, 203, 589, 21096, 26, 4948, 711, 284, 442, 428, 106, 436, 1361, 328, 8690, 436, 816, 328, 1361, 79, 203, 589, 5630, 81, 1956, 81, 3613, 2740, 1132, 30, 1115, 5321, 711, 10065, 442, 203, 50, 2437, 463, 23434, 81, 35, 683, 203, 823, 13417, 7233, 26, 7432, 2459, 2780, 7233, 711, 284, 18407, 792, 4128, 9069, 280, 5895, 81, 4601, 81, 34923, 81, 6719, 792, 4128, 9069, 284, 477, 17614, 284, 665, 14553, 1339, 26, 6933, 711, 291, 2599, 26, 2554, 101, 7233, 30, 9011, 547, 23741, 1339, 346, 291, 9011, 32, 7632, 280, 8419, 280, 22509, 2214, 32, 1297, 346, 291, 9011, 32, 7632, 81, 678, 280, 9011, 32, 7632, 32, 2645, 32, 7632, 81, 678, 291, 1477, 280, 7138, 32, 6665, 26, 1802, 36, 34, 35, 34, 30, 225, 39, 30, 225, 35, 36, 30, 225, 36, 30, 225, 38, 36, 30, 25932, 1338, 47, 978, 10185, 32, 15689, 291, 829, 291, 7254, 280, 7138, 32, 6665, 26, 1802, 36, 34, 35, 34, 30, 225, 41, 30, 225, 41, 30, 225, 34, 30, 225, 34, 30, 25932, 1338, 47, 978, 10185, 32, 15689, 291, 829, 291, 9011, 32, 13826, 101, 280, 428, 324, 6324, 2214, 32, 1297, 26, 1366, 47, 1366, 30, 2935, 47, 7632, 27, 436, 617, 328, 35198, 26, 36, 27, 291, 1481, 291, 9011, 32, 42531, 101, 280, 21096, 2009, 324, 428, 400, 6324, 2214, 32, 1297, 26, 2544, 47, 13826, 27, 436, 617, 328, 35198, 26, 36, 27, 324, 1481, 436, 18471, 328, 9011, 32, 13826, 101, 291, 8834, 291, 9011, 32, 10163, 101, 280, 21096, 2009, 324, 428, 400, 6324, 2214, 32, 1297, 26, 528, 1477, 47, 1366, 30, 7254, 47, 19632, 30, 2935, 47, 42531, 30, 485, 1691, 981, 47, 1815, 30, 2179, 1057, 4625, 1007, 370, 6215, 47, 103, 4763, 2051, 1578, 25, 400, 829, 436, 617, 328, 35198, 26, 36, 27, 324, 1481, 436, 36834, 328, 9011, 32, 42531, 101, 291, 8834, 291, 623, 9011, 32, 2157, 32, 17245, 81, 14663, 26, 7632, 32, 314, 30, 9533, 81, 28771, 47, 2700, 711, 324, 9058, 280, 21096, 2009, 38042, 428, 528, 6324, 2214, 32, 1297, 26, 2544, 47, 10163, 27, 436, 617, 328, 35198, 26, 36, 27, 400, 1481, 436 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 0, 2, 4, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 4, 4, 4, 4, 3, 2, 2, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 4, 4, 5, 6, 6, 7, 6, 5, 5, 11, 12, 12, 12, 11, 11, 11, 10, 10, 9, 6, 6, 9, 10, 8, 8, 9, 9, 12, 11, 12, 11, 6, 6, 9, 10, 10, 10, 8, 8, 11, 12, 10, 11, 9, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 10, 12, 11, 13, 13, 12, 13, 10, 10, 6, 6, 8, 8, 10, 11, 10, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 10, 12, 11, 13, 13, 12, 13, 10, 10, 6, 6, 9, 10, 10, 8, 8, 9, 9, 12, 11, 12, 11, 13, 12, 13, 11, 11, 12, 13, 11, 9, 10, 10, 10, 12, 13, 12, 9, 9, 6, 6, 9, 10, 10, 8, 8, 10, 11, 11, 12, 12, 15, 14, 15, 14, 16, 15, 16, 14, 12, 13, 13, 13, 15, 16, 15, 12, 12, 11, 12, 12, 12, 13, 14, 14, 11, 11, 6, 6, 9, 10, 10, 8, 8, 10, 11, 11, 12, 12, 15, 14, 15, 14, 14, 14, 15, 16, 14, 14, 15, 16, 14, 14, 15, 16, 14, 14, 16, 16, 15, 16, 14, 14, 15, 17, 17, 17, 14, 15, 17, 17, 17, 17, 17, 14, 14, 12, 13, 13, 13, 15, 16, 15, 12, 12, 11, 12, 12, 12, 13, 14, 14, 11, 11, 6, 6, 7, 12, 13, 11, 12, 12, 12, 11, 13, 12, 13, 11, 11, 13, 13, 12, 13, 11, 7, 7, 10, 10, 12, 13, 13, 14, 14, 17, 16, 17, 16, 18, 17, 18, 16, 14, 15, 15, 15, 17, 18, 17, 14, 14, 13 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 0, 1, 2, 2, 1, 4, 7, 7, 0, 0, 8, 8, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 9, 9, 0, 1, 2, 2, 1, 4, 1, 6, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 10, 10, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 10, 10, 3, 3, 2, 2, 2, 0, 11, 11, 0, 11, 11, 0, 0, 0, 0, 12, 12, 2, 1, 2, 12, 12, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 1, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 13, 13, 0, 0, 0, 1, 1, 1, 1, 2, 14, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 9, 9, 1, 1, 0, 11, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 0, 11, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 2, 1, 1, 9, 1, 1, 2, 1, 11, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 2, 1, 1, 4, 4, 8, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 8, 8, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1 ]

[ 1070, 13047, 32, 2304, 1188, 4159, 81, 11731, 30, 3619, 36, 452, 37, 30, 25316, 203, 1070, 638, 1094, 668, 1188, 6324, 720, 203, 1070, 638, 45593, 585, 1188, 3678, 959, 203, 50, 978, 36, 452, 37, 203, 823, 4578, 26, 1243, 959, 711, 284, 1156, 18645, 505, 280, 2107, 1436, 370, 330, 2649, 370, 330, 916, 370, 330, 5561, 370, 7610, 3323, 81, 678, 785, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 26409, 3193, 1057, 1589, 370, 4159, 47, 2700, 30, 6341, 47, 2521, 30, 353, 2935, 47, 2521, 711, 291, 630, 32, 1436, 280, 1474, 291, 630, 32, 2649, 280, 3193, 291, 630, 32, 916, 280, 4159, 291, 630, 32, 5561, 280, 6341, 291, 630, 1114, 3323, 81, 678, 280, 429, 35, 291, 630, 32, 2544, 280, 2935, 284, 477, 16527, 284, 665, 2935, 26, 784, 30, 2935, 711, 291, 415, 2935, 461, 2935, 438, 646, 18623, 26, 784, 30, 330, 2544, 370, 1665, 711, 324, 630, 1114, 3323, 81, 678, 280, 18623, 26, 2544, 30, 7610, 2661, 81, 3323, 81, 678, 370, 429, 35, 27, 291, 442, 2935, 284, 477, 2433, 284, 665, 4159, 81, 1436, 26, 784, 711, 291, 442, 630, 32, 1436, 415, 630, 32, 916, 813, 4159, 81, 11731, 26, 784, 32, 1436, 27, 284, 665, 7725, 26, 784, 30, 16957, 711, 291, 16957, 32, 8275, 81, 1436, 26, 784, 27, 284, 665, 1156, 9941, 3207, 784, 711, 291, 442, 630, 32, 1436, 203, 823, 22641, 26, 33733, 711, 284, 1156, 18645, 505, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 81, 823, 47, 1175, 30, 2935, 47, 2521, 30, 5218, 47, 2521, 711, 291, 6324, 720, 3667, 1664, 3207, 784, 30, 1474, 81, 823, 30, 5053, 2544, 950, 2935, 835, 5218, 27, 284, 665, 1156, 470, 1094, 3207, 784, 30, 1650, 30, 1623, 711, 291, 3610, 280, 630, 77, 1055, 79, 291, 6324, 720, 3667, 470, 1094, 3207, 784, 30, 1650, 30, 1623, 27, 291, 630, 77, 1055, 37815, 3323, 81, 678, 280, 3610, 1114, 3323, 81, 678, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 1, 1, 3, 0, 2, 3, 3, 3, 3, 1, 2, 2, 3, 4, 4, 3, 2, 2, 6, 6, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 3, 3, 4, 5, 5, 6, 5, 5, 6, 5, 6, 8, 8, 5, 6, 7, 5, 5, 6, 7, 5, 5, 5, 6, 7, 5, 4, 4, 8, 9, 7, 7, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 9, 5, 5, 8, 9, 7, 7, 3, 3, 6, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 7, 8, 8, 9, 9, 9, 11, 12, 11, 11, 13, 13, 11, 11, 7, 7, 11, 12, 12, 12, 10, 10, 12, 13, 12, 12, 14, 14, 14, 14, 14, 14, 12, 14, 12, 6, 6, 7, 3, 3, 6, 4, 4, 5, 6, 6, 6, 7, 6, 5, 5, 7, 9, 10, 8, 8, 9, 10, 8, 8, 10, 10, 10, 12, 11, 12, 10, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 8, 9, 8, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 8, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 11, 11, 9, 8, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 7, 8, 7, 4, 4, 8, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 4, 4, 8, 9, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 5, 1, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 1, 2, 0, 4, 4, 2, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 2, 1, 5, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1270, 44, 284, 645, 44524, 1188, 44524, 203, 7343, 29986, 44, 284, 645, 3363, 1188, 44524, 203, 465, 2322, 203, 465, 5237, 203, 465, 15798, 203, 1070, 1619, 1356, 1188, 1619, 4018, 203, 505, 464, 505, 280, 428, 284, 330, 669, 81, 2559, 32095, 370, 284, 330, 7344, 81, 8228, 370, 284, 330, 7344, 81, 9362, 370, 284, 330, 7233, 370, 284, 330, 42991, 81, 4065, 370, 203, 79, 203, 42991, 81, 4065, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 284, 2322, 32, 983, 32, 7781, 4064, 761, 36762, 284, 2322, 32, 568, 1515, 30, 284, 2322, 32, 568, 1515, 30, 203, 490, 203, 589, 1015, 81, 2559, 32095, 26, 2559, 329, 3246, 711, 284, 665, 7767, 26, 6933, 711, 291, 3361, 280, 14447, 26, 6933, 547, 2991, 346, 291, 3361, 32, 3235, 463, 505, 2665, 505, 370, 1665, 27, 291, 3361, 32, 3235, 463, 505, 12063, 612, 505, 370, 1665, 27, 291, 442, 3279, 329, 3246, 26, 6933, 3667, 426, 7642, 9011, 3667, 29915, 7642, 3361, 27, 284, 442, 7767, 203, 50, 1819, 4018, 203, 589, 5668, 81, 8228, 26, 2238, 47, 2521, 711, 284, 3443, 280, 3443, 556, 44524, 346, 284, 3610, 81, 8228, 30, 5237, 32, 8228, 280, 5237, 32, 8228, 30, 3443, 284, 1596, 44, 291, 6761, 3443, 284, 8295, 44, 291, 5237, 32, 8228, 280, 3610, 81, 8228, 203, 50, 1819, 4018, 203, 589, 5668, 81, 9362, 26, 2238, 47, 2521, 711, 284, 3443, 280, 3443, 556, 44524, 346, 284, 3610, 81, 9362, 30, 5237, 32, 9362, 280, 5237, 32, 9362, 30, 3443, 284, 1596, 44, 291, 6761, 3443, 284, 8295, 44, 291, 5237, 32, 9362, 280, 3610, 81, 9362, 203, 823, 19205, 26, 18986, 32, 7233, 711, 284, 477, 1819, 4018, 284, 665, 28805, 2301, 26, 784, 711, 291, 623, 2156, 26, 500, 32, 1902, 1693, 30, 330, 105, 683, 619, 5684, 1693, 44, 324, 623, 5668, 81, 8228, 26, 1902, 1693, 471, 5668, 81, 9362, 26, 1902, 1693, 711, 400, 6761, 284, 477, 1819, 4018, 284, 665, 1201, 1337, 22101, 26, 784, 30, 3756, 47, 1761, 984, 711, 291, 1201, 438, 39288, 26, 3893, 30, 3772, 984, 27, 291, 1596, 44, 324, 6761, 291, 2940, 3756, 619, 484, 44, 324, 1474, 280, 17246, 19565, 44, 19553, 1643, 26, 3893, 3667, 426, 7642, 596, 26, 87, 490, 324, 3636, 630, 32, 11879, 984, 26, 1436, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 6, 6, 9, 10, 8, 9, 8, 9, 9, 6, 6, 7, 8, 8, 6, 6, 6, 7, 8, 8, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 10, 11, 10, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 7, 7, 7, 9, 8, 9, 9, 7, 8, 9, 9, 7, 7, 2, 2, 3, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 2, 2, 5, 5, 6, 6, 8, 3, 3, 7, 7, 6, 6, 7, 8, 5, 5, 7, 8, 6, 6, 3, 3, 4, 4, 4, 7, 4, 4, 5, 5, 5, 9, 10, 8, 8, 9, 9, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 2, 2, 5, 5, 6, 6, 8, 3, 3, 7, 7, 6, 6, 7, 8, 5, 5, 7, 8, 6, 6, 3, 3, 4, 4, 4, 7, 4, 4, 5, 5, 5, 9, 10, 8, 8, 9, 9, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 5, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 11, 13, 12, 13, 13, 11, 11, 13, 13, 9, 9, 11, 6, 6, 6, 8, 12, 12, 12, 13, 13, 12, 9, 12, 12, 12, 13, 13, 12, 8, 8, 2, 2, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 7, 7, 5, 4, 4, 6, 8, 8, 9, 8, 8, 9, 8, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 14, 14, 14, 13, 12, 14, 13, 14, 14, 12, 14, 15, 14, 8, 8, 9, 11, 12, 12, 11, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 5, 2, 2, 1, 1, 1, 0, 7, 7, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 0, 0, 1, 0, 1, 2, 2, 1, 3, 2, 2, 1, 1, 4, 4, 1, 0, 0, 1, 1, 8, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 2, 2, 2, 0, 2, 2, 3, 3, 3, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 9, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 2, 2, 2, 0, 2, 2, 3, 3, 3, 0, 2, 0, 0, 2, 2, 0, 10, 10, 2, 0, 1, 2, 2, 10, 10, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 3, 3, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 24297, 203, 1070, 3363, 1188, 18394, 2338, 203, 1070, 29590, 1188, 38095, 974, 203, 465, 8529, 761, 203, 465, 36252, 203, 1070, 7562, 81, 8288, 32, 11452, 1188, 28182, 81, 3893, 203, 1070, 7562, 81, 8288, 1188, 2662, 203, 1070, 7562, 81, 3812, 1188, 4175, 203, 2897, 280, 3177, 203, 4683, 81, 4409, 81, 3364, 280, 225, 42, 319, 225, 35, 34, 36, 38, 203, 3459, 81, 5203, 81, 3364, 280, 225, 35, 319, 225, 35, 34, 36, 38, 319, 225, 35, 34, 36, 38, 203, 823, 2032, 652, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 803, 711, 291, 630, 32, 761, 280, 803, 284, 665, 9843, 26, 784, 30, 7328, 711, 291, 415, 7328, 863, 313, 3310, 42, 563, 324, 2662, 32, 731, 440, 3374, 646, 2887, 3335, 8644, 1540, 392, 225, 7328, 47, 7328, 27, 291, 630, 32, 8644, 280, 7328, 291, 442, 630, 284, 665, 6122, 26, 784, 30, 18935, 711, 291, 415, 18935, 863, 2706, 96, 563, 324, 2662, 32, 731, 440, 4445, 1755, 6122, 810, 5430, 657, 291, 630, 32, 761, 32, 14408, 26, 34, 27, 291, 442, 23998, 8683, 26, 784, 32, 761, 27, 284, 665, 1156, 1657, 3207, 784, 711, 291, 1779, 280, 630, 32, 761, 32, 27787, 346, 291, 630, 32, 761, 32, 14408, 26, 34, 30, 225, 36, 27, 291, 803, 81, 1322, 280, 630, 32, 761, 32, 27787, 346, 291, 630, 32, 761, 32, 14408, 26, 1433, 27, 291, 442, 803, 81, 1322, 284, 665, 1156, 371, 6099, 3207, 784, 30, 595, 30, 594, 711, 291, 594, 280, 4175, 32, 887, 26, 92, 30, 2069, 26, 784, 490, 291, 415, 594, 429, 225, 35, 848, 225, 36, 1115, 225, 36, 42, 44, 324, 2662, 32, 731, 440, 10291, 432, 3335, 1516, 1540, 3519, 438, 5133, 6524, 392, 1929, 47, 92, 429, 595, 27, 291, 1596, 44, 324, 630, 32, 761, 32, 14408, 26, 91, 27, 324, 1688, 280, 630, 32, 761, 32, 850, 26, 92, 429, 595, 547, 5460, 26, 784, 32, 8644, 27, 324, 442, 1688, 291, 2940, 3268, 619, 484, 44, 324, 2662, 32, 731, 26, 400, 313, 4445, 646, 1491, 803, 11494, 821, 3335, 1055, 8051, 623, 7328, 3335, 8644, 1540, 392, 400, 1650, 47, 91, 30, 400, 7328, 47, 784, 32, 8644, 30, 400, 5749, 47, 87, 324, 829, 284, 665, 1156, 669, 3207, 784, 30, 1604, 711, 291, 630, 32, 761, 32, 14408, 26, 34, 30, 225, 36, 27, 291, 630, 32, 761, 32, 1821, 26, 2455, 27, 284, 665, 1156, 100, 669, 3207, 784, 30, 1604, 711, 291, 537, 81, 761, 280, 38095, 974, 346, 291, 537, 81, 761, 32, 1821, 26, 2455, 27, 291, 630, 32, 761, 32, 14408, 26, 34, 27, 291, 436, 456, 328, 630, 32, 761, 44, 324, 537, 81, 761, 32, 1821, 26, 94, 27, 291, 537, 81, 761, 32, 14408, 26, 34, 27, 291, 442, 2032, 652, 26, 890, 81, 761 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 4, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 8, 8, 8, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 9, 8, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 7, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 7, 8, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 9, 8, 8, 10, 11, 10, 4, 4, 5, 7, 7, 8, 6, 6, 8, 7, 7, 8, 8, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 10, 12, 11, 11, 9, 4, 4, 5, 5, 5, 10, 11, 9, 10, 9, 10, 9, 6, 6, 8, 8, 13, 14, 12, 13, 12, 14, 13, 13, 12, 11, 10, 12, 11, 12, 10, 6, 6, 7, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 10, 10, 10, 11, 13, 12, 13, 10, 10, 10, 11, 12, 10, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 8, 4, 4, 8, 8, 7, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 10, 10, 9, 10, 9, 10, 9, 4, 4, 8, 8, 7, 8, 7, 8, 7, 4, 4, 5, 7, 7, 8, 8, 8 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 5, 5, 5, 5, 0, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 0, 1, 2, 8, 8, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 10, 10, 0, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 14, 14, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 0, 4, 4, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 0, 1, 0, 1, 2, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 1, 4, 4, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 2, 1, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 5, 0, 1, 1, 1, 1 ]

[ 465, 3619, 18550, 619, 298, 203, 465, 1133, 203, 98, 32, 3517, 26, 98, 32, 10580, 27, 203, 539, 15733, 4735, 1625, 280, 2933, 203, 98, 32, 7799, 3529, 44621, 26, 98, 32, 1197, 72, 81, 9352, 81, 10580, 30, 225, 34, 27, 203, 12316, 280, 298, 32, 1297, 15733, 4735, 26, 98, 32, 3055, 5650, 81, 2231, 4386, 30, 10423, 47, 34, 32, 35, 27, 203, 12316, 1705, 280, 298, 32, 1297, 15733, 4735, 26, 98, 32, 3055, 5650, 81, 13946, 30, 11214, 2725, 10704, 6020, 34, 32, 36, 30, 225, 34, 32, 36, 30, 225, 34, 32, 36, 1130, 203, 1439, 13980, 52, 280, 298, 32, 371, 26467, 1792, 31212, 2009, 34, 30, 225, 34, 32, 37, 30, 225, 34, 1130, 261, 203, 1439, 2731, 52, 280, 428, 35, 32, 39, 30, 225, 34, 30, 225, 35, 79, 203, 906, 51, 280, 429, 35, 203, 906, 52, 280, 429, 35, 203, 906, 51, 280, 298, 32, 1297, 6221, 3050, 26, 1439, 15679, 47, 34, 30, 1695, 15733, 4735, 1284, 47, 12316, 30, 1695, 2731, 6020, 34, 32, 39, 30, 225, 34, 30, 225, 35, 1130, 203, 906, 52, 280, 298, 32, 1297, 6221, 3050, 26, 1439, 15679, 47, 34, 30, 715, 1695, 15733, 4735, 1284, 47, 12316, 1705, 30, 715, 1695, 2731, 47, 1439, 2731, 52, 30, 715, 1695, 13980, 47, 1439, 13980, 52, 27, 203, 43091, 280, 225, 37, 203, 1489, 7807, 280, 428, 35, 30, 225, 34, 30, 225, 34, 79, 203, 928, 606, 280, 298, 32, 669, 1240, 3529, 1811, 26, 928, 1792, 20792, 6020, 34, 30, 225, 34, 30, 225, 34, 614, 1014, 1628, 705, 20792, 6020, 34, 30, 225, 34, 30, 225, 34, 614, 1014, 1628, 1514, 7807, 47, 1489, 7807, 30, 1014, 43427, 47, 43091, 30, 1014, 12535, 1043, 47, 34, 27, 203, 20533, 280, 225, 34, 203, 34552, 280, 225, 34, 203, 5525, 308, 98, 32, 45289, 22805, 334, 22746, 1454, 225, 34, 32, 34, 35, 334, 415, 308, 20533, 2377, 225, 37, 32, 35, 38, 35, 39, 319, 225, 36, 32, 711, 284, 22746, 280, 225, 34, 334, 45749, 1454, 225, 34, 32, 34, 35, 334, 415, 308, 34552, 2377, 225, 37, 32, 35, 38, 35, 39, 319, 225, 36, 32, 711, 284, 45749, 280, 225, 34, 334, 1695, 13980, 52, 280, 298, 32, 371, 26467, 1792, 31212, 2009, 34552, 30, 22746, 30, 225, 34, 1130, 334, 415, 308, 906, 52, 2377, 225, 34, 711, 284, 298, 32, 4534, 1761, 2731, 2185, 13980, 26, 906, 52, 30, 1695, 2731, 52, 30, 1695, 13980, 52, 27, 334, 415, 308, 539, 15733, 4735, 1625, 711, 284, 28401, 280, 298, 32, 371, 34940, 6834, 26, 1548, 51, 6593, 35, 30, 6035, 3361, 52, 6593, 35, 30, 6035, 7291, 47, 35, 34, 34, 30, 6035, 20471, 4735, 51, 47, 12316, 30, 6035, 20471, 4735, 52, 47, 12316, 1705, 30, 6035, 20471, 4735, 2731, 51, 6020, 34, 32, 39, 30, 225, 34, 30, 225, 35, 614, 6035, 20471, 4735, 2731, 52, 47, 1439, 2731, 52, 30, 6035, 20471, 4735, 13980, 52, 47, 1439, 13980, 52, 27, 334 ]

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

[ 1, 1, 4, 2, 2, 0, 1, 1, 0, 4, 3, 4, 3, 5, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 0, 4, 3, 4, 4, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 3, 3, 4, 3, 0, 3, 2, 2, 4, 5, 5, 5, 4, 6, 5, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 5, 6, 6, 6, 6, 4, 4, 6, 6, 5, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 4, 6, 5, 5, 6, 6, 6, 5, 5, 6, 5, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 4, 3, 3, 4, 3, 0, 3, 3, 2, 2, 4, 0, 3, 3, 2, 2, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 4, 6, 5, 7, 7, 7, 6, 6, 7, 6, 6, 7, 6, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 5, 6, 6, 4, 4, 4, 6, 5, 6, 6, 6, 4, 4, 4, 6, 5, 6, 6, 6, 4, 0, 3, 2, 2, 3, 0, 3, 3, 2, 2, 4, 3, 3, 4, 3, 3, 4, 3, 0, 3, 3, 2, 2, 4, 5, 5, 5, 5, 4, 6, 6, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 4, 4, 6, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 4, 4, 6, 6, 5, 6, 6, 4, 4, 4, 5, 6, 4, 4, 4, 6, 5, 6, 4, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 1, 1, 5, 4, 5, 4, 1, 1, 4, 4, 5, 5, 5, 5, 2, 2, 3, 6, 5, 5, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 4, 3, 3, 6, 6, 7, 2, 2, 4, 4, 5, 5, 5, 5, 2, 2, 3, 6, 5, 5, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 4, 3, 3, 6, 6, 7, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 8, 7, 7, 7, 7, 8, 7, 2, 2, 3, 6, 6, 5, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 5, 5, 5, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 9, 11, 8, 8, 8, 10, 9, 11, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 8, 8, 10, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 10, 9, 10, 10, 10, 8, 3 ]

[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 1, 0, 5, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 3, 2, 2, 1, 1, 1, 0, 5, 2, 2, 2, 1, 1, 1, 0, 7, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 3, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 5, 2, 2, 1, 1, 1, 7, 2, 1, 1, 1, 0, 9, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 18, 18, 0, 0, 2, 1, 18, 18, 0, 0, 2, 2, 2, 2, 3, 3, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 3, 3, 0, 0, 2, 2, 2, 2, 3, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 3, 3, 5, 0, 0, 1, 1, 2, 1, 5, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 3, 3, 6, 1, 1, 1, 1, 1, 6, 6, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 3, 1, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 0, 0, 9, 2, 2, 1, 1, 1, 0, 0, 0, 11, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 1, 1, 0, 0, 0, 13, 2, 2, 2, 1, 1, 1, 0, 0, 0, 15, 2, 2, 2, 1, 6 ]

[ 465, 6677, 36, 203, 465, 3619, 39141, 619, 345, 8902, 203, 823, 475, 7453, 959, 16056, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 2848, 280, 345, 8902, 32, 2848, 81, 5792, 346, 291, 630, 32, 2848, 32, 1945, 463, 2087, 5841, 42885, 31, 86, 4911, 25844, 291, 630, 32, 1160, 280, 1665, 291, 665, 5683, 54, 7453, 1160, 26, 784, 30, 1542, 30, 3400, 30, 7528, 30, 32209, 30, 10477, 8095, 30, 12939, 1731, 30, 12939, 8095, 1731, 30, 225, 3775, 1769, 96, 2081, 106, 969, 101, 30, 18714, 30, 1929, 4426, 30, 712, 30, 2604, 30, 390, 711, 324, 630, 32, 2848, 32, 1945, 463, 2087, 5841, 3239, 25844, 324, 630, 32, 2848, 32, 524, 853, 463, 1160, 370, 1542, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 966, 370, 3400, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 8095, 370, 7528, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 24737, 370, 32209, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 6386, 8095, 370, 10477, 8095, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 1731, 370, 12939, 1731, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 8095, 1731, 370, 12939, 8095, 1731, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 16537, 81, 7899, 370, 35048, 2081, 106, 969, 101, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 22879, 370, 18714, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 1516, 81, 4426, 370, 1929, 4426, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 666, 370, 712, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 2142, 370, 2604, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 53, 370, 390, 27, 324, 630, 32, 2848, 32, 1945, 463, 96, 1160, 280, 5683, 26, 1160, 30, 966, 30, 8095, 32, 24737, 30, 6386, 8095, 30, 1731, 30, 8095, 1731, 30, 1449, 81, 1516, 81, 327, 15795, 1882, 30, 22879, 30, 1516, 81, 4426, 30, 666, 30, 2142, 30, 53, 19188, 324, 630, 32, 1160, 280, 630, 32, 2848, 32, 371, 853, 463, 96, 1160, 683, 324, 630, 32, 2848, 32, 1945, 463, 2087, 11762, 683, 291, 665, 11140, 959, 26, 893, 30, 41011, 30, 1769, 81, 1516, 711, 324, 415, 630, 32, 1160, 610, 1665, 44, 324, 630, 32, 2848, 32, 1945, 463, 2087, 5841, 5905, 25844, 324, 630, 32, 2848, 32, 524, 853, 463, 449, 370, 1778, 27, 324, 630, 32, 2848, 32, 524, 853, 463, 1160, 370, 630, 32, 1160, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 8, 9, 9, 9, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 5, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 7, 6, 6, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 11, 9, 10, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 10, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 11, 9, 10, 10, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 11, 11, 9, 10, 10, 10, 10, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 11, 11, 9, 10, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 8, 8, 11, 12, 10, 11, 11, 10, 12, 12, 12, 6, 6, 10, 11, 9, 10, 9, 11, 11, 11, 4, 4, 5, 6, 6, 7, 6, 6, 6, 6, 7, 7, 6, 5, 5, 7, 9, 10, 8, 8, 7, 6, 6, 10, 11, 9, 10, 9, 11, 11, 11, 11, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 9, 6, 6, 10, 11, 9, 10, 10, 9, 11, 11, 9, 10, 11, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 13, 2, 2, 15, 15, 2, 2, 2, 2, 17, 17, 17, 17, 17, 2, 2, 2, 2, 21, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 4, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 0, 2, 1, 1, 0, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 8527, 32, 36287, 1188, 2908, 203, 1070, 20357, 32, 3378, 1188, 20671, 203, 1070, 7730, 32, 3378, 1188, 6211, 203, 589, 6765, 26, 1357, 711, 284, 442, 2908, 26, 1357, 30, 330, 2833, 32, 916, 370, 301, 291, 330, 1393, 81, 27512, 950, 20671, 32, 5740, 32, 464, 346, 2867, 39, 614, 284, 1790, 203, 589, 4096, 81, 668, 81, 19747, 26, 1357, 711, 284, 442, 2908, 26, 1357, 30, 330, 1935, 31, 668, 31, 19747, 32, 916, 683, 203, 589, 7260, 81, 352, 26, 1357, 711, 284, 442, 2908, 26, 1357, 30, 330, 5546, 31, 352, 32, 916, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 5, 6, 6, 9, 9, 9, 9, 7, 11, 12, 10, 11, 10, 8, 10, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 5, 5, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 2361, 203, 465, 11626, 13629, 81, 42139, 203, 465, 2322, 203, 465, 22977, 203, 1070, 4134, 1188, 1623, 18241, 203, 465, 18912, 501, 896, 203, 1070, 10381, 93, 39583, 32, 21408, 1188, 1420, 81, 6656, 203, 1070, 10381, 93, 39583, 32, 34745, 1188, 4448, 30, 5170, 203, 1070, 6346, 452, 2255, 1188, 13249, 203, 1070, 6346, 452, 2255, 1188, 3383, 203, 589, 1420, 81, 1786, 26, 983, 81, 3718, 452, 2255, 81, 4687, 30, 1519, 81, 8336, 270, 896, 81, 4687, 711, 284, 3383, 32, 1664, 5191, 26, 983, 81, 3718, 452, 2255, 81, 4687, 27, 284, 1519, 81, 8336, 270, 896, 81, 4687, 280, 2322, 32, 983, 32, 21379, 26, 983, 81, 8336, 270, 896, 81, 4687, 27, 284, 1519, 81, 2613, 280, 2361, 32, 944, 26, 1676, 26, 983, 81, 8336, 270, 896, 81, 4687, 30, 330, 100, 2847, 710, 2613, 4902, 983, 785, 284, 907, 81, 2536, 280, 225, 301, 3056, 1574, 950, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 21379, 6824, 1840, 2847, 320, 284, 415, 2322, 32, 983, 32, 34103, 26, 983, 81, 2613, 711, 291, 1201, 26, 1657, 26, 983, 81, 2613, 27, 848, 225, 39, 27, 291, 22977, 32, 100, 41718, 26, 983, 81, 2613, 27, 284, 1123, 280, 7074, 452, 2255, 2059, 26, 983, 81, 8336, 270, 896, 81, 4687, 30, 3383, 32, 371, 1157, 284, 1420, 81, 6656, 463, 34, 32, 34, 32, 34, 32, 34, 370, 225, 42, 34, 42, 34, 30, 1123, 30, 907, 81, 2536, 47, 1574, 81, 2536, 27, 203, 823, 7074, 452, 2255, 2059, 26, 8069, 501, 896, 32, 3951, 25885, 414, 2059, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1519, 81, 4687, 30, 6346, 452, 2255, 81, 4687, 711, 291, 18912, 501, 896, 32, 3951, 25885, 414, 2059, 3667, 1664, 3207, 784, 30, 1519, 81, 4687, 27, 291, 630, 32, 3718, 452, 1163, 280, 6346, 452, 2255, 81, 4687, 291, 630, 32, 3235, 15849, 7167, 280, 13249, 32, 850, 81, 5905, 26, 1891, 630, 32, 3718, 452, 1163, 32, 371, 440, 8384, 3839, 392, 313, 4243, 81, 1793, 81, 314, 2113, 1891, 630, 32, 3718, 452, 1163, 32, 371, 440, 6533, 3839, 1461, 3235, 15849, 81, 1793, 81, 314, 2131, 291, 13590, 7167, 280, 13249, 32, 850, 81, 5905, 26, 784, 32, 3718, 452, 1163, 32, 371, 440, 6533, 3839, 392, 313, 4066, 81, 17857, 2113, 9474, 630, 32, 3718, 452, 1163, 32, 371, 440, 8384, 3839, 392, 313, 4243, 81, 1793, 81, 314, 2113, 9474, 630, 32, 3718, 452, 1163, 32, 371, 440, 6533, 3839, 392, 313, 11464, 81, 1793, 81, 314, 2113, 9474, 2129, 37346, 106, 370, 330, 107, 370, 330, 426, 370, 330, 1449, 12736, 2847, 291, 630, 32, 678, 720, 280, 1605, 291, 630, 32, 7288, 1607, 12736, 280, 1605, 291, 630, 32, 1311, 10136, 7167, 280, 5436, 346, 291, 436, 3414, 328, 13590, 7167, 44, 324, 533, 280, 1897, 26, 2204, 7167, 77, 3038, 5795, 106, 3490, 324, 816, 280, 1897, 26, 2204, 7167, 77, 3038, 5795, 107, 3490, 324, 1780, 280, 13590, 7167, 77, 3038, 5795 ]

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

[ 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 5, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 8, 9, 8, 10, 10, 11, 11, 11, 11, 11, 11, 11, 10, 10, 12, 12, 6, 8, 8, 7, 7, 2, 2, 5, 5, 4, 4, 4, 5, 8, 8, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 12, 12, 5, 2, 2, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 3, 3, 6, 9, 9, 10, 10, 10, 9, 7, 7, 8, 6, 4, 4, 7, 8, 8, 7, 8, 8, 8, 7, 2, 2, 4, 4, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 6, 6, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 9, 9, 8, 9, 9, 9, 9, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 8, 8, 11, 12, 12, 12, 10, 11, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 8, 8, 11, 12, 12, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 12, 11, 12, 12, 12, 10, 11, 10, 12, 12, 12, 10, 12, 12, 12, 12, 8, 8, 11, 12, 12, 12, 10, 11, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 8, 8, 11, 12, 12, 12, 10, 11, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 8, 8, 9, 12, 12, 10, 12, 12, 10, 12, 12, 10, 12, 12, 12, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 4, 4, 5, 5, 5, 6, 5, 5, 5, 8, 8, 10, 13, 13, 12, 13, 12, 13, 13, 6, 6, 8, 8, 10, 13, 13, 12, 13, 12, 13, 13, 6, 6, 8, 8, 11, 10, 11, 10 ]

[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 7, 7, 0, 8, 8, 0, 0, 8, 8, 0, 9, 9, 0, 0, 9, 9, 0, 10, 10, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 10, 10, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 0, 11, 11, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 11, 11, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 4, 4, 7, 7, 7, 3, 7, 7, 7, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 5, 5, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 5, 5, 0, 0, 0, 0, 2, 0 ]

[ 465, 4395, 203, 465, 2322, 203, 465, 29590, 203, 1070, 281, 7194, 604, 32, 2282, 32, 8636, 1188, 16233, 203, 1070, 281, 7194, 604, 32, 2282, 32, 17022, 1188, 14910, 30, 21454, 203, 1070, 281, 7194, 604, 32, 2282, 32, 5740, 1188, 2032, 203, 1070, 281, 7194, 604, 32, 1831, 1188, 281, 7194, 604, 81, 1297, 203, 1070, 281, 7194, 604, 32, 14481, 1188, 739, 81, 15598, 203, 1070, 281, 7194, 604, 32, 23575, 32, 15692, 1188, 22717, 203, 589, 894, 81, 17022, 81, 1664, 81, 1347, 496, 2262, 284, 739, 81, 15598, 26, 1433, 761, 32, 4765, 86, 1433, 1157, 284, 281, 7194, 604, 81, 1297, 26, 4687, 1279, 291, 313, 23575, 563, 301, 324, 313, 15692, 563, 301, 400, 313, 6565, 563, 2933, 30, 400, 313, 2035, 563, 313, 35, 32, 36, 32, 37, 32, 38, 392, 400, 313, 625, 563, 225, 38, 36, 38, 36, 30, 400, 313, 1199, 563, 313, 26018, 392, 324, 801, 291, 801, 284, 1790, 284, 345, 280, 14910, 346, 284, 345, 32, 1664, 346, 284, 1201, 345, 32, 6565, 438, 2933, 284, 1201, 345, 32, 12256, 610, 313, 35, 32, 36, 32, 37, 32, 38, 20, 284, 1201, 345, 32, 625, 610, 225, 38, 36, 38, 36, 284, 1201, 345, 32, 4603, 610, 313, 26018, 20, 284, 1201, 345, 32, 699, 438, 1665, 284, 1201, 345, 32, 2895, 438, 1665, 203, 589, 894, 81, 17022, 81, 1664, 81, 1793, 496, 2262, 284, 739, 81, 15598, 26, 1433, 761, 32, 4765, 86, 1433, 1157, 284, 281, 7194, 604, 81, 1297, 26, 4687, 1279, 291, 313, 23575, 563, 301, 324, 313, 15692, 563, 301, 400, 313, 6565, 563, 2933, 30, 400, 313, 699, 563, 313, 3986, 392, 400, 313, 2895, 563, 313, 1632, 392, 324, 801, 291, 801, 284, 1790, 284, 345, 280, 14910, 346, 284, 345, 32, 1664, 346, 284, 1201, 345, 32, 6565, 438, 2933, 284, 1201, 345, 32, 12256, 610, 313, 35, 36, 41, 32, 34, 32, 34, 32, 35, 20, 284, 1201, 345, 32, 625, 610, 225, 36, 41, 34, 35, 41, 284, 1201, 345, 32, 4603, 610, 313, 85, 7194, 604, 20, 284, 1201, 345, 32, 699, 610, 313, 3986, 20, 284, 1201, 345, 32, 2895, 610, 313, 1632, 20, 203, 50, 3613, 32, 2675, 440, 85, 7194, 604, 32, 2282, 32, 17022, 32, 978, 17022, 657, 203, 589, 894, 81, 17022, 81, 3517, 81, 1206, 6565, 26, 98, 711, 284, 739, 81, 15598, 26, 1433, 761, 32, 4765, 86, 1433, 1157, 284, 281, 7194, 604, 81, 1297, 346, 284, 345, 280, 14910, 346, 284, 345, 32, 1664, 346, 284, 345, 32, 3517, 346, 284, 298, 32, 16396, 1486, 32, 862, 81, 1206, 81, 10910, 346, 203, 50, 3613, 32, 2675, 440, 85, 7194, 604, 32, 2282, 32, 17022, 32, 3365, 2548, 657, 203, 50, 3613, 32, 2675, 440, 85, 7194, 604, 32, 2282, 32, 17022, 32, 978, 17022, 657, 203, 589, 894, 81, 17022, 81, 3517, 81, 3127, 81, 1347, 496, 26, 98, 30, 2678, 711, 284, 739, 81, 15598, 26, 1433, 761, 32, 4765, 86, 1433, 1157, 284, 281 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 8, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 7, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 11, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 14, 14, 12, 13, 13, 13, 13, 11, 11, 11, 14, 14, 12, 14, 14, 11, 11, 9, 9, 7, 7, 2, 2, 4, 4, 6, 2, 2, 5, 6, 5, 2, 2, 3, 5, 6, 4, 4, 2, 2, 3, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 5, 6, 4, 4, 5, 5, 5, 5, 2, 2, 3, 5, 6, 4, 4, 6, 6, 2, 2, 3, 5, 6, 4, 4, 2, 2, 3, 5, 6, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 8, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 7, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 14, 14, 12, 11, 11, 11, 14, 14, 12, 14, 14, 11, 11, 14, 14, 12, 14, 14, 11, 11, 9, 9, 7, 7, 2, 2, 4, 4, 6, 2, 2, 5, 6, 5, 2, 2, 3, 5, 6, 4, 4, 2, 2, 3, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 5, 6, 4, 4, 5, 5, 5, 5, 5, 2, 2, 3, 5, 6, 4, 4, 6, 6, 6, 6, 2, 2, 3, 5, 6, 4, 4, 6, 6, 2, 2, 3, 5, 6, 4, 4, 6, 6, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 6, 6, 9, 9, 8, 9, 9, 9, 8, 3, 3, 6, 6, 6, 6, 6, 3, 3, 5, 5, 7, 3, 3, 6, 7, 6, 3, 3, 6, 7, 6, 3, 3, 7, 8, 8, 6, 7, 7, 7, 7, 7, 6, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 6, 6, 6, 9, 9, 8, 9, 9, 9, 8, 3, 3 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 9, 9, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 4, 4, 0, 2, 1, 4, 4, 4, 0, 2, 1, 1, 4, 4, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 0, 2, 1, 1, 2, 2, 2, 2, 4, 4, 7, 0, 2, 1, 1, 1, 2, 4, 4, 8, 0, 2, 1, 1, 4, 4, 9, 0, 2, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 2, 10, 10, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 4, 4, 0, 2, 1, 4, 4, 4, 0, 2, 1, 1, 4, 4, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 0, 2, 1, 1, 2, 2, 2, 2, 2, 4, 4, 7, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 8, 0, 2, 1, 1, 1, 2, 4, 4, 9, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 12, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 12, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4 ]

[ 465, 1913, 16515, 203, 465, 2322, 203, 465, 15798, 203, 465, 1984, 2208, 203, 465, 2099, 91, 203, 465, 5167, 203, 823, 399, 344, 7233, 26, 18986, 32, 7233, 711, 284, 21565, 81, 2413, 280, 313, 525, 555, 2807, 32, 978, 33, 2807, 20, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 51, 344, 7233, 30, 630, 547, 23741, 346, 291, 1913, 16515, 32, 4898, 346, 291, 630, 32, 6455, 81, 1237, 346, 291, 630, 32, 103, 303, 280, 2099, 91, 32, 3517, 463, 525, 555, 2807, 32, 978, 13093, 330, 858, 370, 330, 858, 683, 284, 665, 28921, 26, 784, 711, 291, 2599, 26, 51, 344, 7233, 30, 630, 547, 519, 282, 3211, 346, 291, 1913, 16515, 32, 5820, 346, 291, 1913, 16515, 32, 4534, 346, 284, 477, 17614, 284, 665, 1968, 81, 965, 26, 6933, 30, 319, 1132, 711, 291, 1984, 280, 9011, 32, 6177, 81, 2413, 291, 436, 1638, 328, 2181, 44, 324, 1984, 280, 1984, 2208, 32, 965, 2524, 26, 965, 474, 26610, 1638, 27, 291, 442, 1984, 284, 665, 13942, 81, 1237, 26, 784, 711, 291, 436, 4870, 328, 2322, 32, 26366, 463, 3287, 31, 1237, 7831, 324, 415, 4870, 32, 20643, 3949, 1260, 7831, 400, 623, 2156, 26, 500, 32, 983, 32, 2524, 463, 3287, 31, 1237, 370, 4870, 490, 619, 11828, 44, 528, 3361, 280, 11828, 32, 850, 346, 400, 630, 32, 6455, 26, 525, 16515, 32, 2788, 30, 330, 1237, 31, 2180, 370, 4870, 30, 3361, 47, 1548, 27, 284, 665, 13942, 26, 784, 30, 1411, 30, 319, 1132, 30, 1115, 5321, 711, 291, 1984, 280, 630, 32, 1832, 81, 965, 2740, 1132, 27, 291, 415, 10306, 32, 371, 463, 1548, 683, 438, 1665, 461, 330, 1517, 25, 646, 328, 10306, 44, 324, 10306, 710, 1517, 785, 280, 5167, 32, 7787, 32, 1347, 81, 1286, 291, 1913, 16515, 32, 3317, 81, 3423, 26, 1959, 30, 1984, 30, 7686, 1795, 81, 681, 347, 3164, 33, 1260, 392, 7686, 1115, 5321, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 8, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 8, 7, 8, 7, 4, 4, 8, 7, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 7, 5, 4, 4, 7, 7, 8, 9, 9, 9, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 12, 11, 12, 12, 11, 13, 12, 12, 11, 11, 5, 5, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 7, 9, 9, 9, 9, 5, 5, 7, 9, 10, 9, 11, 11, 7, 7, 9, 14, 18, 17, 18, 16, 17, 16, 18, 18, 18, 18, 16, 16, 12, 12, 9, 9, 9, 12, 12, 14, 15, 14, 8, 8, 11, 12, 11, 13, 13, 12, 13, 11, 11, 13, 13, 13, 13, 11, 11, 11, 12, 13, 11, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 8, 4, 4, 5, 9, 10, 9, 11, 11, 7, 7, 6, 6, 9, 9, 7, 7, 7, 5, 5, 5, 9, 11, 11, 8, 8, 10, 11, 9, 10, 10, 10, 4, 4, 8, 7, 8, 8, 8, 7, 8, 7, 7, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 1, 3, 3, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 4, 4, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 7, 2, 1, 4, 4, 5, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 316, 108, 32, 7980, 1188, 16672, 203, 505, 1427, 505, 280, 16672, 32, 10258, 8412, 203, 589, 4705, 81, 3922, 26, 3922, 30, 9631, 1785, 47, 2700, 711, 284, 3097, 203, 589, 2016, 26, 6363, 30, 4118, 30, 6717, 81, 626, 81, 6332, 47, 2521, 711, 284, 645, 316, 108, 32, 4538, 1114, 1040, 1188, 1361, 7621, 30, 6826, 81, 1113, 7621, 284, 1188, 2322, 284, 1188, 316, 284, 918, 81, 928, 280, 2322, 32, 23407, 440, 5762, 81, 4780, 392, 7746, 284, 918, 81, 1493, 280, 2322, 32, 23407, 440, 5762, 81, 9864, 392, 7746, 284, 1596, 44, 291, 918, 81, 1493, 280, 629, 26, 980, 81, 1493, 27, 284, 2940, 44, 291, 918, 81, 1493, 280, 2069, 26, 980, 81, 928, 27, 284, 2401, 81, 1112, 280, 918, 81, 928, 32, 2998, 346, 6448, 35, 79, 284, 415, 918, 81, 928, 32, 20643, 26, 2135, 81, 1112, 711, 291, 5202, 280, 2401, 81, 1112, 284, 813, 44, 291, 5202, 280, 1665, 284, 665, 617, 3235, 81, 626, 26, 94, 30, 298, 711, 291, 8153, 280, 456, 32, 2998, 346, 291, 1638, 280, 1665, 291, 415, 8153, 44, 324, 1638, 280, 8153, 77, 34, 79, 324, 456, 81, 280, 456, 32, 94, 7201, 346, 324, 298, 5912, 308, 1657, 26, 94, 27, 429, 2069, 26, 94, 7912, 474, 2069, 26, 626, 490, 324, 456, 280, 456, 8850, 1657, 26, 626, 711, 79, 324, 442, 456, 30, 298, 30, 1638, 291, 442, 456, 30, 298, 30, 1638, 284, 1361, 2501, 280, 1665, 284, 918, 81, 928, 30, 918, 81, 1493, 30, 4774, 280, 617, 3235, 81, 626, 26, 980, 81, 928, 30, 918, 81, 1493, 27, 284, 415, 4774, 328, 2884, 26701, 392, 313, 26701, 2921, 10280, 291, 918, 81, 928, 30, 918, 81, 1493, 30, 1638, 280, 617, 3235, 81, 626, 26, 980, 81, 928, 30, 918, 81, 1493, 27, 291, 415, 1638, 44, 324, 415, 5202, 863, 1638, 44, 400, 1361, 2501, 280, 1638, 284, 813, 44, 291, 1361, 2501, 280, 4774, 32, 2998, 10359, 392, 225, 35, 5594, 31, 35, 79, 284, 415, 1361, 2501, 438, 1665, 44, 291, 33382, 280, 739, 26, 1113, 7621, 27, 429, 739, 26, 3864, 81, 1113, 7621, 27, 291, 415, 5202, 44, 324, 33382, 280, 308, 106, 436, 816, 328, 33382, 415, 816, 32, 15990, 26, 4254, 490, 291, 1459, 313, 4939, 2524, 26, 28988, 27, 284, 415, 1361, 2501, 646, 328, 1361, 7621, 44, 291, 442, 284, 9667, 280, 316, 32, 6993, 5528, 101, 287, 78, 101, 657, 284, 343, 13983, 4279, 280, 9667, 32, 32852, 26, 980, 81, 928, 27, 284, 436, 595, 30, 343, 10939, 328, 10703, 26, 583, 16670, 711, 291, 594, 280, 918, 81, 928, 32, 1809, 26, 583, 917, 27, 291, 2218, 918, 81, 928, 77, 92, 79, 863, 4825, 563, 324, 594, 1454, 225, 35, 291, 594, 1454, 225, 36, 291, 309, 280, 313, 64, 23, 86, 20, 904, 595, 291, 918, 81, 928, 280, 918, 81, 928, 2867, 92, 79, 474, 309, 474, 918, 81, 928, 77, 92, 10056, 291, 415, 918, 81, 1493 ]

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

[ 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 2, 1, 1, 3, 5, 4, 5, 4, 5, 3, 3, 5, 3, 3, 5, 5, 5, 2, 2, 3, 2, 2, 3, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 2, 2, 3, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 3, 3, 4, 4, 4, 8, 8, 7, 7, 9, 10, 10, 10, 9, 2, 2, 5, 5, 4, 4, 8, 8, 7, 8, 7, 5, 7, 5, 2, 2, 3, 6, 6, 5, 6, 5, 6, 6, 6, 5, 3, 3, 6, 6, 7, 7, 3, 3, 4, 4, 4, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 5, 8, 8, 9, 10, 9, 6, 6, 9, 8, 8, 10, 11, 11, 10, 6, 6, 8, 8, 13, 13, 14, 13, 11, 11, 13, 14, 14, 10, 10, 12, 13, 12, 6, 6, 8, 8, 10, 12, 12, 13, 12, 9, 6, 6, 7, 8, 8, 8, 8, 4, 4, 5, 6, 6, 6, 6, 2, 2, 5, 4, 4, 2, 2, 6, 6, 5, 5, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 4, 4, 7, 7, 5, 7, 7, 7, 3, 3, 8, 8, 7, 7, 8, 8, 7, 7, 6, 6, 8, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 4, 4, 5, 5, 5, 5, 7, 8, 8, 7, 7, 7, 11, 10, 10, 3, 3, 4, 4, 4, 8, 7, 7, 10, 11, 10, 12, 10, 11, 10, 9, 10, 8, 2, 2, 3, 5, 4, 4, 3, 3, 3, 6, 6, 9, 10, 10, 9, 7, 7, 9, 10, 10, 10, 10, 9, 4, 4, 5, 5, 5, 5, 8, 8, 10, 9, 10, 10, 10, 9, 10, 12, 13, 12, 13, 12, 4, 4, 5, 9, 8, 7, 8, 7, 2, 2, 3, 5, 4, 4, 4, 5, 3, 3, 3, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 5, 3, 3, 5, 6, 6, 5, 3, 3, 6, 6, 9, 9, 8, 9, 8, 9, 9, 8, 4, 4, 5, 8, 8, 7, 8, 7, 6, 6, 8, 5, 5, 8, 8, 9, 4, 4, 6, 6, 7, 4, 4, 6, 6, 9, 9, 9, 9, 7, 7, 4, 4, 7, 7, 6, 6, 10, 10, 9, 11, 9, 8, 8, 7, 7, 9, 9, 8, 10, 9, 4, 4, 5, 7, 7 ]

[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 2, 0, 3, 3, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 3, 3, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 4, 4, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 5, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 4, 4, 7, 0, 0, 0, 2, 1, 1, 1, 1, 1, 7, 7, 0, 0, 2, 2, 7, 7, 4, 4, 4, 0, 0, 4, 4, 8, 1, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 0, 2, 1, 4, 4, 0, 0, 4, 4, 2, 2, 2, 2, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 3, 3, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 11, 1, 1, 1, 2, 2, 1, 1, 2, 11, 11, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 11, 11, 4, 4, 4, 0, 0, 0, 0, 2, 1, 2, 1, 3, 1, 2, 1, 2, 4, 4, 12, 0, 1, 1, 12, 12, 12, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 3, 0, 2, 1, 1, 1, 3, 3, 2, 1, 2, 1, 1, 1, 4, 4, 13, 0, 1, 1, 1, 2, 13, 13, 13, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 16, 1, 1, 2, 16, 16, 1, 1, 1, 1, 16, 16, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 5, 5, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 5, 5, 0, 0, 2, 5, 5, 0, 0, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 5, 5, 5, 0, 0 ]

[ 1277, 765, 203, 9592, 750, 17488, 4442, 32, 203, 1792, 3519, 372, 312, 1451, 30, 1451, 372, 3519, 30, 5774, 32, 203, 9592, 203, 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1270, 44, 284, 588, 264, 588, 264, 588, 264, 1188, 29252, 331, 284, 29252, 331, 32, 2620, 346, 203, 7343, 29986, 44, 284, 3097, 203, 465, 7395, 14510, 203, 1070, 1671, 1188, 8921, 203, 1070, 40239, 1188, 4942, 203, 1070, 40239, 1114, 8524, 1188, 438, 81, 5823, 30, 323, 30, 3432, 30, 622, 81, 1112, 81, 18842, 30, 20024, 81, 12644, 30, 29420, 81, 12644, 203, 589, 3519, 36, 410, 26, 1294, 81, 3651, 711, 284, 540, 9592, 609, 11217, 312, 1149, 432, 3519, 556, 600, 225, 42, 31, 2400, 802, 372, 600, 4991, 32, 284, 5076, 1471, 15390, 5852, 30, 9336, 561, 372, 1629, 7328, 2124, 9354, 42, 1932, 32, 284, 8217, 8580, 35, 36, 42, 319, 225, 36, 39, 40, 27, 474, 225, 40, 38, 27, 319, 225, 36, 39, 40, 27, 474, 225, 35, 39, 275, 42, 38, 34, 39, 34, 34, 41, 284, 8217, 3519, 36, 410, 9442, 106, 42, 34, 23110, 106, 34, 88, 683, 275, 42, 38, 34, 39, 34, 34, 41, 284, 5881, 284, 442, 629, 26, 1771, 14510, 32, 6949, 13212, 26, 1294, 81, 3651, 471, 225, 35, 40, 27, 203, 589, 617, 410, 36, 3651, 26, 2171, 30, 2163, 81, 891, 47, 2521, 711, 284, 540, 9592, 609, 11217, 312, 1451, 372, 312, 802, 432, 3519, 32, 284, 10484, 403, 291, 8217, 617, 410, 36, 3651, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 27, 291, 3228, 106, 34, 41, 13644, 16524, 78, 106, 35, 39, 25, 291, 8217, 3519, 36, 410, 2176, 410, 36, 3651, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 490, 276, 35, 36, 37, 38, 39, 40, 41, 42, 43, 291, 8217, 617, 410, 36, 3651, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 30, 225, 40, 27, 291, 3228, 106, 34, 34, 78, 106, 34, 34, 78, 106, 34, 41, 13644, 16524, 78, 106, 35, 39, 25, 291, 8217, 3519, 36, 410, 2176, 410, 36, 3651, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 30, 225, 35, 36, 42, 490, 276, 35, 36, 37, 38, 39, 40, 41, 42, 43, 291, 8217, 617, 410, 36, 3651, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 30, 225, 37, 27, 291, 43969, 308, 7320, 8289, 1476, 2401, 711, 291, 2417, 291, 35207, 924, 44, 489, 15854, 225, 38, 3519, 436, 1451, 30, 1273, 2163, 1334, 438, 225, 37, 284, 477, 753, 1451, 44, 322, 1451, 372, 4483, 284, 477, 753, 2163, 81, 891, 44, 322, 1451, 432, 3519, 372, 1688, 32, 1670, 322, 1451, 11830, 372, 291, 3519, 438, 6679, 2784, 458, 30, 322, 2163, 1098, 526, 5934, 31, 34294, 32, 5076, 646, 2702, 30, 291, 322, 4717, 2163, 438, 646, 35966, 32, 284, 477, 5117, 35207, 924, 1412, 2163, 81, 891, 438, 2702, 461, 322, 1451, 8727, 973, 1829, 291, 3519, 2784, 8157, 1991, 322 ]

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

[ 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 6, 5, 6, 5, 1, 2, 2, 2, 2, 2, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 8, 8, 7, 8, 8, 7, 8, 8, 8, 7, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]

[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 2, 1, 3, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 9, 9, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 1070, 19090, 81, 41622, 32, 1832, 1188, 4361, 558, 203, 1070, 19090, 81, 41622, 32, 7954, 4441, 81, 1040, 1188, 1487, 81, 7954, 4441, 81, 2848, 203, 1070, 19090, 81, 41622, 32, 2796, 1188, 7474, 3313, 4152, 203, 1070, 19090, 81, 41622, 32, 5558, 32, 4775, 81, 2546, 81, 8282, 81, 893, 1188, 13423, 81, 32962, 695, 203, 1070, 2322, 3883, 32, 2304, 1188, 31376, 2790, 81, 5074, 81, 371, 203, 823, 19756, 4433, 1658, 26, 2626, 3313, 4152, 711, 284, 1202, 280, 330, 10281, 81, 2544, 81, 893, 25, 284, 438, 81, 11327, 81, 452, 81, 5066, 280, 3177, 284, 665, 1156, 1664, 3207, 784, 30, 2899, 265, 30, 10153, 30, 17126, 4441, 81, 2544, 81, 1832, 30, 17126, 4441, 81, 8494, 30, 17126, 4441, 81, 6482, 81, 23545, 81, 1515, 47, 2521, 711, 291, 2599, 26, 8826, 4433, 1658, 30, 630, 14585, 1664, 3207, 2795, 265, 30, 10153, 27, 291, 17126, 4441, 81, 2393, 81, 1338, 280, 1665, 291, 415, 17126, 4441, 81, 6482, 81, 23545, 81, 1515, 44, 324, 17126, 4441, 81, 2393, 81, 1338, 280, 301, 400, 330, 6482, 81, 23545, 81, 1515, 950, 17126, 4441, 81, 6482, 81, 23545, 81, 1515, 30, 324, 320, 291, 630, 32, 7954, 4441, 81, 2848, 280, 1487, 81, 7954, 4441, 81, 2848, 26, 7954, 4441, 81, 8494, 30, 17126, 4441, 81, 2393, 81, 1338, 27, 291, 1596, 44, 324, 630, 32, 7954, 4441, 81, 2544, 81, 1832, 280, 629, 26, 7954, 4441, 81, 2544, 81, 1832, 27, 291, 2940, 10091, 44, 324, 630, 32, 7954, 4441, 81, 2544, 81, 1832, 280, 17126, 4441, 81, 2544, 81, 1832, 291, 630, 1114, 7954, 4441, 81, 2544, 81, 1832, 81, 1338, 280, 1665, 291, 630, 1114, 20195, 280, 1665, 291, 630, 1114, 890, 81, 2544, 81, 893, 280, 1665, 284, 665, 1420, 26, 784, 711, 291, 630, 32, 1809, 81, 20195, 346, 291, 630, 32, 1613, 81, 890, 81, 2544, 81, 893, 346, 291, 630, 32, 4635, 81, 890, 81, 2544, 81, 893, 346, 291, 630, 32, 470, 81, 890, 81, 2544, 81, 893, 346, 291, 442, 630, 1114, 7954, 4441, 81, 2544, 81, 1832, 81, 1338, 710, 314, 785, 284, 665, 2290, 81, 20195, 26, 784, 711, 291, 630, 1114, 20195, 280, 308, 784, 32, 1809, 81, 20195, 81, 1070, 81, 1832, 346, 556, 4985, 630, 32, 1809, 81, 20195, 81, 1070, 81, 8929, 1157, 291, 415, 646, 630, 1114, 20195, 44, 324, 3636, 26405, 463, 51, 19655, 13600, 436, 36209, 4441, 1968, 25039, 9692, 100, 6653, 1597, 646, 2431, 25, 7686, 638, 1643, 26, 784, 1114, 7954, 4441, 81, 2544, 81, 1832, 81, 1338, 490, 284, 665, 2290, 81, 20195, 81, 1070, 81, 1832, 26, 784, 711, 291, 630, 1114, 7954, 4441, 81, 2544, 81, 1832, 81, 1338, 280, 630, 32, 7954, 4441, 81, 2848, 32, 371, 3313, 26, 784, 32, 7954, 4441, 81, 2544, 81, 1832, 27, 291, 415, 646, 630, 1114, 7954, 4441, 81, 2544, 81, 1832, 81, 1338, 44, 324, 3636, 26405, 463, 27090, 4441, 1968 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 5, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 9, 9, 9, 9, 9, 8, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 4, 4, 5, 5, 5, 9, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 11, 11, 11, 10, 5, 5, 6, 6, 6, 6, 10, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 5, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 8, 8, 8, 10, 11, 11, 11, 11, 11, 11, 11, 10, 4, 4, 5, 6, 7, 8, 5, 5, 5, 7, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 11, 13, 12, 13, 13, 13, 13, 13, 13, 13, 13, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 10, 8, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 8, 4, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 7, 9, 13, 13, 13 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 6, 6, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 7, 7, 7, 7, 7, 2, 2, 9, 9, 9, 2, 2, 0, 0, 0, 0, 0, 0, 0, 11, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 4, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 14999, 81, 17099, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 8348, 81, 4156, 203, 465, 14785, 32, 2958, 32, 4156, 32, 3997, 81, 4943, 261, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 5239, 81, 7490, 203, 50, 4156, 32, 4329, 15316, 440, 8418, 10845, 657, 203, 589, 617, 3371, 81, 4943, 26, 12085, 81, 520, 30, 8056, 711, 334, 442, 1417, 81, 4156, 32, 16547, 26, 4943, 27, 203, 50, 4156, 32, 4329, 15316, 440, 20329, 7483, 2315, 657, 203, 589, 617, 10095, 81, 4943, 26, 12085, 81, 520, 30, 8056, 711, 334, 442, 2065, 32, 10095, 319, 8056, 203, 823, 31950, 14003, 1006, 26, 858, 32, 7233, 711, 334, 665, 894, 1103, 5291, 26, 784, 711, 284, 2065, 32, 3855, 32, 7389, 26, 35, 27, 10065, 623, 630, 32, 858, 81, 2848, 26, 539, 81, 9873, 47, 2700, 711, 397, 1334, 280, 308, 36, 30, 225, 37, 27, 397, 816, 35, 280, 8082, 81, 520, 32, 8662, 26, 36, 32, 34, 30, 6024, 47, 891, 30, 636, 347, 106, 35, 657, 397, 816, 36, 280, 8082, 81, 520, 32, 8662, 26, 37, 32, 34, 30, 6024, 47, 891, 30, 636, 347, 106, 36, 657, 397, 533, 280, 7744, 81, 4156, 32, 669, 26, 106, 35, 30, 816, 36, 30, 636, 347, 107, 657, 397, 1048, 280, 14999, 81, 17099, 32, 7924, 81, 11260, 81, 731, 26, 106, 35, 30, 1334, 30, 533, 30, 1334, 27, 284, 5239, 81, 7490, 32, 1338, 440, 106, 35, 1048, 280, 904, 88, 392, 1048, 27, 284, 1201, 1048, 333, 225, 35, 87, 31, 38, 334, 665, 894, 1103, 5291, 14871, 26, 784, 711, 284, 2065, 32, 3855, 32, 7389, 26, 36, 27, 10065, 623, 630, 32, 858, 81, 2848, 26, 539, 81, 9873, 47, 1815, 711, 397, 1334, 280, 308, 36, 30, 225, 37, 27, 397, 816, 35, 280, 8082, 81, 520, 32, 8662, 26, 36, 32, 34, 30, 6024, 47, 891, 30, 636, 347, 106, 35, 657, 397, 816, 36, 280, 8082, 81, 520, 32, 8662, 26, 37, 32, 34, 30, 6024, 47, 891, 30, 636, 347, 106, 36, 657, 397, 533, 280, 7744, 81, 4156, 32, 669, 26, 106, 35, 30, 816, 36, 30, 636, 347, 107, 657, 397, 1048, 280, 14999, 81, 17099, 32, 7924, 81, 11260, 81, 731, 26, 106, 35, 30, 1334, 30, 533, 30, 1334, 27, 284, 5239, 81, 7490, 32, 1338, 440, 106, 35, 1048, 280, 904, 88, 392, 1048, 27, 284, 1201, 1048, 333, 225, 35, 87 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 0, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 2, 5, 4, 5, 5, 4, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 4, 7, 7, 6, 7, 6, 7, 6, 0, 2, 5, 4, 5, 5, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 4, 6, 7, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 9, 10, 10, 10, 9, 11, 11, 11, 10, 11, 9, 5, 5, 8, 8, 10, 9, 9, 10, 9, 6, 6, 9, 8, 8, 11, 11, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 10, 11, 13, 13, 13, 6, 6, 9, 8, 8, 11, 11, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 10, 11, 13, 13, 13, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 11, 10, 10, 11, 10, 10, 11, 13, 13, 6, 6, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 11, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 6, 6, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 5, 9, 10, 10, 10, 9, 11, 11, 11, 10, 11, 9, 5, 5, 8, 8, 10, 9, 9, 10, 9, 6, 6, 9, 8, 8, 11, 11, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 10, 11, 13, 13, 13, 6, 6, 9, 8, 8, 11, 11, 10, 11, 10, 11, 11, 11, 10, 10, 11, 12, 10, 10, 11, 13, 13, 13, 6, 6, 8, 8, 11, 11, 10, 11, 10, 11, 11, 10, 10, 11, 10, 10, 11, 13, 13, 6, 6, 8, 8, 11, 11, 10, 11, 11, 11, 11, 11, 10, 11, 11, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 6, 6, 7, 7 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 14, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 16, 16, 1, 1, 2, 0, 1, 2, 2, 16, 16, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 2, 2 ]

[ 465, 4527, 203, 465, 9877, 81, 4275, 203, 465, 6314, 34268, 203, 465, 6314, 203, 465, 438, 1729, 23718, 203, 465, 7680, 550, 81, 4538, 203, 465, 2322, 203, 465, 12460, 203, 465, 1133, 203, 465, 309, 19912, 1040, 203, 465, 7680, 98, 81, 94, 17642, 203, 465, 7680, 98, 81, 49149, 1040, 203, 465, 5684, 6979, 203, 465, 316, 203, 465, 341, 34224, 81, 2957, 203, 43041, 81, 49149, 81, 761, 280, 2430, 6698, 33, 43041, 33, 297, 1729, 314, 31, 49149, 32, 2957, 20, 203, 43041, 81, 1536, 81, 761, 280, 2430, 6698, 33, 43041, 33, 297, 1729, 314, 31, 1536, 32, 2957, 20, 203, 43041, 81, 761, 280, 2430, 6698, 33, 43041, 33, 297, 1729, 314, 32, 2957, 20, 203, 54, 1456, 10348, 280, 2430, 17434, 33, 11076, 550, 20, 203, 10450, 5834, 3687, 4065, 280, 2430, 1902, 33, 13474, 20, 203, 10450, 6265, 779, 4065, 280, 2430, 1902, 33, 10300, 33, 1170, 31, 314, 20, 203, 10450, 6265, 2117, 69, 2027, 3336, 280, 2430, 1902, 33, 10300, 33, 1170, 31, 47879, 16903, 20, 203, 10450, 6265, 1456, 66, 4065, 280, 2430, 1902, 33, 10300, 33, 1170, 31, 29029, 20, 203, 12511, 6883, 81, 4065, 20183, 3731, 33, 823, 33, 49114, 81, 2035, 25, 203, 39926, 54, 81, 4065, 20183, 869, 33, 1945, 33, 1877, 317, 593, 550, 86, 32, 978, 32, 6320, 25, 203, 1456, 81, 521, 4855, 3197, 280, 2430, 1902, 33, 10300, 33, 317, 383, 539, 20, 203, 1456, 66, 2788, 51, 37109, 2576, 10348, 280, 2430, 2215, 33, 106, 1229, 703, 33, 1771, 33, 2635, 31, 371, 31, 955, 314, 31, 31404, 1516, 20, 203, 589, 617, 297, 81, 49149, 81, 19186, 81, 10333, 2262, 284, 4774, 280, 36089, 17434, 33, 6320, 1028, 392, 4825, 101, 392, 2430, 17434, 33, 11076, 550, 86, 1446, 284, 308, 899, 30, 9362, 30, 8228, 27, 280, 4527, 32, 1409, 2493, 26, 3515, 27, 284, 442, 308, 899, 379, 34, 27, 203, 589, 617, 297, 81, 29029, 81, 19186, 81, 10333, 2262, 284, 415, 2322, 32, 983, 32, 4658, 26, 39926, 54, 81, 4065, 711, 291, 442, 2933, 284, 813, 44, 291, 442, 3177, 203, 589, 18189, 81, 1456, 1902, 26, 11649, 30, 7112, 711, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 1456, 81, 521, 4855, 3197, 711, 291, 2322, 32, 10174, 26, 1456, 81, 521, 4855, 3197, 27, 284, 415, 308, 29029, 81, 94, 17642, 32, 297, 81, 68, 23478, 62, 311, 26, 11649, 8531, 291, 12809, 280, 622, 81, 2922, 779, 81, 62, 311, 5493, 26, 11649, 27, 291, 26093, 81, 1793, 81, 12420, 280, 26093, 474, 20869, 474, 12809, 291, 1519, 280, 2322, 32, 983, 32, 2524, 26, 1456, 81, 521, 4855, 3197, 30, 26093, 81, 1793, 81, 12420, 27, 284, 813, 44, 291, 1519, 280, 2322, 32, 983, 32, 2524, 26, 1456, 81, 521, 4855, 3197, 30, 26093, 27, 284, 4774, 280, 2107, 2506, 370, 6470, 6449, 370, 7112, 30, 1519, 79, 284, 4527, 32, 98, 850, 36, 26, 3515, 27, 203, 589, 43292, 81, 1456, 1902, 26, 11649, 711, 284, 415, 308 ]

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

[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 2, 2, 6, 5, 6, 5, 6, 5, 4, 4, 6, 7, 7, 6, 7, 6, 2, 2, 3, 6, 5, 6, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 6, 7, 5, 6, 5, 6, 6, 6, 6, 5, 3, 3, 5, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 6, 3, 3, 7, 8, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 6, 7, 6, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 3, 3, 4, 4, 4, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 9, 9, 2, 2, 4, 4, 7, 7, 5, 7, 7, 5, 5, 5, 5, 2, 2, 5, 6, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3 ]

[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 12, 12, 0, 0, 13, 13, 0, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 27, 27, 1, 1, 1, 1, 1, 1, 1, 2, 27, 27, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 3, 0, 5, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 0, 1, 2, 1, 0, 28, 28, 1, 1, 1, 1, 1, 1, 1, 2, 28, 28, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 29, 29, 1, 1, 1, 2, 1, 2, 2, 2, 29, 29, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 0, 30, 30, 1, 1, 1, 2, 1, 2, 30, 30, 0 ]

[ 465, 2068, 25814, 32, 21945, 203, 1070, 16539, 1188, 447, 1676, 30, 21925, 1304, 203, 465, 2322, 203, 465, 622, 4617, 203, 823, 4600, 10588, 2408, 15395, 26, 1323, 25814, 32, 21945, 32, 15395, 711, 284, 665, 622, 81, 1536, 81, 1163, 81, 4756, 26, 784, 711, 291, 1359, 81, 4756, 280, 2599, 26, 2027, 10588, 2408, 15395, 30, 1014, 630, 547, 371, 81, 1536, 81, 1163, 81, 4756, 346, 291, 1359, 81, 4756, 32, 1877, 1371, 324, 330, 1771, 950, 330, 1215, 372, 322, 4749, 911, 1052, 5298, 370, 324, 330, 539, 81, 9860, 950, 330, 4391, 12798, 20787, 324, 330, 9860, 81, 3515, 950, 330, 1215, 372, 12798, 370, 324, 330, 10402, 101, 950, 330, 7938, 45888, 619, 4487, 619, 9175, 25, 291, 1790, 291, 442, 1359, 81, 4756, 284, 665, 622, 81, 1536, 81, 1163, 26, 784, 711, 291, 1359, 280, 2599, 26, 2027, 10588, 2408, 15395, 30, 630, 547, 371, 81, 1536, 81, 1163, 346, 291, 1359, 32, 1877, 1371, 324, 330, 1771, 950, 2850, 3056, 3381, 33, 1771, 33, 639, 911, 1052, 370, 324, 330, 539, 81, 9860, 950, 263, 3177, 30, 324, 330, 9860, 81, 3515, 950, 263, 3056, 3381, 33, 1771, 33, 9860, 370, 324, 330, 983, 950, 2407, 330, 639, 4537, 32, 37737, 370, 324, 330, 10402, 101, 950, 958, 3177, 30, 291, 1790, 291, 442, 1359, 284, 665, 3185, 81, 853, 26, 784, 30, 786, 711, 291, 786, 280, 786, 32, 7201, 346, 291, 415, 786, 610, 330, 3258, 950, 324, 442, 1665, 291, 1596, 44, 324, 442, 1897, 26, 853, 27, 291, 2940, 44, 324, 3097, 291, 1596, 44, 324, 442, 1897, 32, 1070, 6949, 26, 853, 27, 291, 2940, 44, 324, 3097, 291, 442, 1665, 284, 665, 7901, 26, 784, 711, 291, 415, 308, 1206, 2322, 32, 3560, 26, 784, 32, 1163, 710, 1771, 2188, 2322, 32, 74, 81, 2950, 27, 324, 556, 308, 784, 32, 1163, 710, 539, 81, 9860, 785, 400, 461, 646, 2322, 32, 3560, 26, 784, 32, 1163, 710, 9860, 81, 3515, 2188, 2322, 32, 74, 81, 2950, 490, 711, 324, 442, 3177, 291, 2016, 280, 428, 784, 32, 1163, 710, 1771, 2188, 330, 12601, 785, 291, 415, 630, 32, 1163, 710, 539, 81, 9860, 785, 461, 622, 4617, 32, 371, 496, 346, 863, 330, 2388, 950, 324, 2016, 32, 3215, 26, 34, 30, 630, 32, 1163, 710, 9860, 81, 3515, 3490, 291, 298, 280, 447, 1676, 26, 2501, 30, 12532, 47, 18165, 547, 508, 48275, 8532, 34, 1674, 5979, 35, 79, 291, 436, 595, 30, 354, 328, 10703, 26, 98, 32, 2998, 5528, 96, 2131, 44, 324, 706, 280, 354, 32, 2998, 35619, 657, 324, 1596, 44, 400, 10021, 81, 426, 280, 706, 77, 34, 997, 7201, 922, 3227, 47575, 20079, 7286, 1895, 3227, 440, 3003, 4939, 657, 400, 8607, 280, 1605, 400, 415, 646, 630, 32, 1163, 710, 10402, 101, 12132, 528, 8607, 32, 1689, 1162, 7263, 81, 426, 30, 630, 32, 2208, 81, 853, 26, 605, 77, 35, 25200, 400, 813, 44, 528, 8607, 32, 1689, 1162, 7263, 81, 426, 474, 4939, 19971, 392 ]

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

[ 1, 1, 3, 2, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 8, 8, 7, 8, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 8, 8, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 9, 8, 8, 8, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 9, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 9, 9, 8, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 8, 8, 5, 5, 7, 4, 4, 5, 5, 5, 7, 9, 10, 9, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 7, 9, 10, 10, 9, 10, 9, 5, 5, 6, 6, 6, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 8, 10, 11, 10, 13, 12, 13, 11, 13, 13, 10, 11, 12, 12, 12, 10, 7, 7, 7, 12, 11, 12, 10, 12, 12, 12, 12, 9, 9, 9, 10, 12, 13, 12, 15, 14, 15, 13, 15, 15, 15, 15, 12, 13, 14, 14, 14, 12, 6, 5, 5, 7, 4, 4, 6, 6, 10, 9, 10, 8, 10, 10, 7, 9, 9, 4, 4, 5, 8, 9, 7, 9, 9, 9, 9, 6, 6, 10, 9, 10, 10, 9, 7, 7, 9, 9, 5, 5, 9, 10, 9, 10, 9, 9, 11, 12, 10, 12, 12, 12, 12, 4, 4, 6, 6, 12, 12, 13, 12, 12, 13, 14, 12, 11, 11, 10, 9, 8, 8, 10, 7, 4, 4, 5, 6, 6, 5, 5, 7, 10, 9, 10, 9, 12, 11, 5, 5, 5, 8, 8, 10, 11, 10, 12, 6, 6, 7, 7, 7, 11, 11, 10, 10, 17, 18, 17, 17, 16, 15, 14, 14, 14, 16, 13, 12, 14, 12, 14, 8, 8, 10, 10, 8, 8, 9, 10, 12, 13, 11, 13, 13, 13, 9, 9, 13, 14, 13, 15, 15, 15, 14, 14, 16, 17, 17, 17, 16, 18, 17, 18, 17, 9, 9, 10, 10, 10, 14, 15, 14, 17, 17, 17, 16, 16, 18, 18 ]

[ 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 9, 9, 1, 1, 1, 4, 4, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 4, 4, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 0, 0, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 4, 4, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 4, 4, 4, 1, 1, 4, 4, 1, 0, 0, 2, 1, 0, 2, 4, 4, 4, 0, 0, 0, 2, 1, 2, 5, 5, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 4, 4, 4, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2 ]

[ 1070, 13047, 519, 315, 32, 4538, 32, 1439, 1188, 3772, 203, 823, 447, 29358, 26, 1761, 711, 284, 2016, 81, 1439, 280, 330, 33532, 31, 823, 25, 284, 477, 17614, 284, 665, 2197, 81, 2132, 26, 6933, 30, 2075, 47, 2521, 711, 291, 9011, 32, 2501, 81, 1113, 280, 330, 545, 31, 2132, 25, 291, 442, 9011, 32, 4526, 26, 6933, 1114, 6309, 81, 2501, 26, 2184, 471, 1688, 81, 1643, 1057, 4700, 683, 284, 477, 17614, 284, 665, 18548, 81, 9578, 26, 6933, 30, 2075, 47, 2521, 711, 291, 9011, 32, 2501, 81, 1113, 280, 330, 11383, 31, 9578, 25, 291, 442, 9011, 32, 4526, 26, 6933, 1114, 6309, 81, 2501, 26, 2184, 471, 1688, 81, 1643, 1057, 4700, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 5, 5, 6, 8, 9, 8, 11, 10, 11, 11, 11, 10, 11, 10, 8, 10, 10, 9, 11, 11, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 5, 5, 6, 8, 9, 8, 11, 10, 11, 11, 11, 10, 11, 10, 8, 10, 10, 9, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 2322, 203, 465, 32774, 45969, 203, 465, 6234, 203, 465, 1671, 203, 465, 316, 203, 465, 5237, 203, 465, 622, 4617, 203, 1070, 6234, 81, 2304, 1188, 319, 203, 823, 447, 8445, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1519, 30, 4096, 47, 2521, 30, 9541, 47, 2700, 30, 3097, 81, 16096, 47, 2521, 711, 291, 630, 32, 4416, 81, 8094, 280, 330, 44279, 32, 911, 32, 7589, 25, 291, 630, 32, 44279, 280, 32774, 45969, 32, 57, 7649, 26, 2314, 45969, 2833, 47, 983, 27, 291, 630, 32, 44279, 32, 10529, 280, 9541, 291, 630, 32, 1935, 280, 4096, 291, 630, 32, 37015, 280, 630, 32, 944, 81, 678, 26, 784, 32, 1935, 27, 291, 415, 630, 32, 37015, 438, 1665, 44, 324, 415, 225, 3097, 81, 16096, 438, 646, 1665, 44, 400, 1459, 330, 2023, 1202, 6092, 2431, 458, 4096, 32, 45222, 537, 1202, 81, 5210, 34196, 400, 630, 32, 2518, 81, 678, 81, 5210, 26, 4617, 81, 16096, 30, 630, 32, 1935, 27, 400, 630, 32, 678, 81, 1206, 81, 30939, 280, 2933, 324, 4348, 3097, 81, 16096, 438, 1665, 44, 400, 1459, 330, 705, 4450, 322, 1202, 312, 45070, 438, 5349, 25, 400, 5237, 32, 4775, 26, 35, 27, 291, 813, 44, 324, 630, 32, 678, 81, 1206, 81, 30939, 280, 3177, 284, 5881, 284, 3217, 322, 2401, 2530, 328, 322, 1149, 81, 3494, 346, 5436, 284, 5881, 284, 665, 2454, 81, 678, 26, 784, 30, 4096, 30, 945, 47, 1815, 711, 291, 831, 2665, 280, 630, 32, 44279, 32, 668, 81, 3494, 26, 2055, 27, 291, 45716, 280, 1665, 291, 11828, 280, 1665, 291, 436, 831, 328, 831, 2665, 44, 324, 415, 4096, 328, 596, 26, 93, 710, 1890, 101, 8150, 34, 10794, 400, 11828, 280, 596, 26, 93, 710, 37015, 3490, 291, 442, 11828, 284, 665, 4479, 81, 678, 81, 5210, 26, 784, 30, 3097, 81, 16096, 30, 4096, 47, 2521, 711, 291, 415, 4096, 863, 1665, 44, 324, 630, 32, 1935, 280, 4096, 291, 1509, 81, 605, 280, 630, 32, 44279, 32, 2518, 81, 678, 81, 1131, 26, 426, 81, 1935, 47, 784, 32, 1935, 30, 45070, 47, 4617, 81, 16096, 27, 291, 1202, 280, 630, 32, 44279, 32, 2518, 81, 678, 26, 1131, 81, 605, 27, 291, 630, 32, 37015, 280, 1202, 32, 37015, 291, 442, 1202, 284, 665, 4166, 81, 18835, 81, 452, 81, 761, 26, 784, 30, 1202, 81, 37015, 30, 803, 81, 426, 711, 291, 32431, 81, 3902, 12837, 81, 923, 81, 3494, 280, 630, 32, 44279, 32, 1358, 81, 3494, 26, 678, 81, 37015, 27, 291, 32431, 81, 3902, 12837, 81, 2055, 81, 3494, 280, 630, 32, 44279, 32, 1358, 81, 3494, 26, 678, 81, 37015, 30, 2933, 27, 291, 623, 2156, 15339, 101, 32, 9579, 25, 904, 803, 81, 426, 30, 330, 105, 683, 619, 296, 44, 324, 296, 32, 1821, 26, 14510, 81, 3902, 12837, 81, 923, 81, 3494, 27, 324, 296, 32, 1821, 26, 14510, 81, 3902, 12837, 81, 2055, 81, 3494, 27, 284, 665, 1188, 81, 18835, 81, 1070, 81, 761, 26, 784, 30 ]

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

[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 8, 10, 10, 10, 9, 10, 8, 4, 4, 8, 9, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 7, 8, 6, 6, 5, 5, 5, 7, 7, 9, 9, 8, 8, 8, 7, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 11, 12, 13, 11, 8, 8, 11, 12, 12, 12, 12, 12, 10, 10, 7, 7, 8, 10, 10, 9, 9, 8, 8, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 13, 12, 13, 12, 5, 5, 6, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 4, 4, 6, 6, 4, 4, 5, 5, 5, 6, 5, 5, 5, 7, 8, 8, 10, 13, 12, 14, 14, 14, 12, 11, 7, 7, 10, 10, 12, 14, 13, 15, 15, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 9, 10, 8, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 9, 11, 10, 11, 8, 8, 9, 10, 10, 10, 8, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 4, 4, 5, 10, 13, 13, 13, 13, 11, 11, 12, 12, 10, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 6, 6, 9, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4 ]

[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 0, 7, 7, 0, 8, 8, 1, 8, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 0, 9, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 5, 0, 2, 1, 1, 5, 5, 5, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 4, 0, 0, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 5, 5, 4, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 4, 4, 4, 3, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 4, 3, 3, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2 ]

[ 465, 2108, 57, 2983, 203, 465, 5237, 203, 325, 5237, 32, 5134, 610, 330, 4463, 37, 36, 950, 334, 894, 280, 2108, 57, 2983, 32, 1006, 57, 2983, 26, 17213, 11414, 874, 4849, 370, 330, 46756, 3490, 334, 5557, 3197, 280, 330, 42977, 31, 4545, 25, 334, 894, 32, 1945, 81, 24523, 463, 1204, 31, 24576, 32, 24523, 370, 663, 1515, 47, 1405, 3197, 27, 334, 894, 32, 1832, 463, 1204, 31, 24576, 32, 24523, 370, 894, 32, 2320, 30, 663, 1515, 47, 1405, 3197, 27, 334, 665, 1390, 1726, 7734, 26, 8022, 711, 284, 3536, 81, 983, 280, 894, 32, 8282, 81, 761, 81, 983, 26, 8022, 30, 663, 1515, 47, 1405, 3197, 27, 284, 442, 3228, 96, 2473, 2524, 26, 291, 816, 436, 816, 328, 894, 32, 1945, 81, 5937, 1771, 3247, 1285, 7734, 370, 3536, 81, 983, 547, 2998, 4446, 346, 4511, 415, 330, 2201, 25, 646, 328, 816, 27, 334, 2799, 81, 1285, 7734, 81, 6390, 280, 5881, 203, 81, 1831, 42265, 19836, 44, 664, 34, 34, 38, 34, 35, 34, 34, 34, 44, 551, 42, 225, 34, 39, 225, 34, 34, 225, 34, 34, 225, 34, 34, 262, 4234, 263, 19403, 30, 39, 664, 34, 34, 38, 34, 35, 34, 34, 39, 44, 390, 37, 423, 2152, 203, 49, 108, 7989, 75, 10978, 39729, 44, 664, 34, 34, 38, 34, 35, 34, 35, 34, 44, 551, 42, 225, 34, 37, 225, 34, 34, 225, 34, 34, 225, 34, 34, 262, 4234, 263, 19403, 30, 37, 664, 34, 34, 38, 34, 35, 34, 35, 39, 44, 390, 37, 423, 2152, 203, 49, 106, 7989, 75, 10978, 39729, 44, 664, 34, 34, 38, 34, 35, 34, 36, 34, 44, 551, 42, 225, 34, 35, 225, 34, 34, 225, 34, 34, 225, 34, 34, 262, 4234, 263, 19403, 30, 35, 664, 34, 34, 38, 34, 35, 34, 36, 39, 44, 390, 37, 423, 2152, 203, 49, 107, 7989, 75, 10978, 39729, 44, 664, 34, 34, 38, 34, 35, 34, 37, 34, 44, 551, 42, 225, 34, 36, 225, 34, 34, 225, 34, 34, 225, 34, 34, 262, 4234, 263, 19403, 30, 36, 664, 34, 34, 38, 34, 35, 34, 37, 39, 44, 390, 37, 423, 2152, 203, 81, 1831, 44, 664, 34, 34, 38, 34, 35, 34, 38, 34, 44, 225, 37, 37, 390, 34, 2850, 22073, 263, 19403, 30, 6948, 664, 34, 34, 38, 34, 35, 34, 38, 36, 44, 390, 37, 423, 2152, 203, 9592, 334, 415, 2799, 81, 1285, 7734, 81, 6390, 646, 328, 1390, 1726, 7734, 463, 858, 81, 24576, 81, 8022, 32, 8022, 7831, 284, 1459, 1390, 1726, 7734, 463, 858, 81, 24576, 81, 8022, 32, 8022, 683, 284, 894, 32, 5066, 81, 858, 346, 334, 2799, 81, 1285, 7734, 81, 1113, 15615, 280, 5881, 203, 81, 1831, 42265, 19836, 44, 664, 34, 34, 38, 34, 35, 34, 34, 34, 44, 551, 42, 225, 34, 39, 225, 34, 34, 225, 34, 34, 225, 34, 34, 262, 4234, 263, 19403, 30, 39, 664, 34, 34, 38, 34, 35, 34, 34, 39, 44, 390, 37, 423, 2152 ]

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

[ 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 4, 4, 4, 4, 1, 1, 4, 4, 7, 7, 6, 7, 7, 7, 6, 8, 7, 10, 10, 10, 8, 10, 10, 2, 2, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 7, 6, 7, 7, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 5, 6, 7, 5, 5, 7, 6, 7, 7, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 10, 9, 10, 10, 8, 4, 4, 5, 10, 9, 8, 7, 7, 7, 7, 8, 8, 8, 12, 13, 13, 13, 13, 12, 14, 14, 14, 12, 13, 13, 12, 11, 11, 10, 7, 7, 8, 11, 11, 9, 9, 9, 7, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 5, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]

[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 0, 5, 2, 2, 1, 3, 3, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 2, 2, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 6, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 465, 5237, 203, 465, 617, 101, 268, 203, 465, 309, 268, 81, 2208, 203, 1070, 309, 268, 81, 9777, 1188, 319, 203, 1070, 617, 101, 268, 1188, 7482, 34770, 203, 862, 617, 101, 268, 32, 30924, 610, 40262, 1102, 30, 313, 69, 613, 2297, 22384, 20, 203, 325, 617, 101, 268, 32, 3521, 3364, 610, 225, 36, 44, 284, 7482, 3521, 280, 225, 40, 39, 39, 37, 39, 203, 1824, 44, 284, 7482, 3521, 280, 225, 34, 23838, 203, 589, 617, 8543, 1126, 26, 106, 711, 284, 442, 816, 203, 81, 24799, 81, 24916, 280, 739, 2009, 24799, 30, 2370, 81, 24799, 1130, 203, 81, 34770, 1392, 81, 24916, 280, 739, 2009, 34770, 30, 14369, 81, 34770, 30, 7482, 81, 34770, 1130, 203, 81, 6685, 81, 24916, 280, 739, 2009, 6685, 30, 33500, 1130, 203, 81, 6475, 81, 24916, 280, 739, 2009, 6475, 30, 6747, 81, 3908, 1130, 203, 589, 617, 6993, 26, 687, 30, 5257, 30, 5736, 711, 284, 9533, 280, 1340, 32, 1689, 284, 617, 1657, 280, 2069, 284, 498, 22166, 81, 24916, 280, 617, 24799, 81, 24916, 284, 3042, 29226, 1392, 81, 24916, 280, 617, 34770, 1392, 81, 24916, 284, 18850, 81, 24916, 280, 617, 6685, 81, 24916, 284, 6747, 81, 24916, 280, 617, 6475, 81, 24916, 284, 436, 3089, 30, 2440, 328, 5257, 44, 291, 415, 3089, 328, 498, 22166, 81, 24916, 44, 324, 415, 5736, 549, 358, 613, 81, 4694, 81, 1434, 2576, 6755, 3204, 44, 400, 9533, 26, 1952, 24916, 77, 1952, 81, 24111, 77, 520, 13138, 400, 9533, 2176, 101, 268, 32, 371, 5729, 26, 453, 30, 5736, 490, 324, 813, 44, 400, 9533, 26, 1952, 24916, 77, 520, 1130, 400, 9533, 26, 453, 27, 291, 4348, 3089, 438, 1236, 44, 324, 415, 5736, 549, 358, 613, 81, 4694, 81, 1434, 2576, 6755, 3204, 44, 400, 9533, 26, 1952, 24916, 77, 1952, 81, 24111, 77, 520, 13138, 400, 665, 2421, 417, 26, 7538, 30, 5736, 47, 4545, 711, 528, 442, 617, 101, 268, 32, 371, 5729, 26, 7538, 30, 5736, 27, 324, 813, 44, 400, 9533, 26, 1952, 24916, 77, 520, 1130, 400, 2421, 417, 280, 617, 8543, 1126, 324, 7116, 280, 617, 1657, 26, 687, 293, 9533, 26, 34, 27, 324, 617, 6993, 81, 15245, 26, 453, 30, 5736, 30, 1340, 30, 2421, 417, 27, 324, 1340, 77, 5961, 79, 280, 617, 1657, 26, 687, 27, 429, 7116, 291, 4348, 3089, 438, 2964, 44, 324, 415, 5736, 549, 358, 613, 81, 4694, 81, 6737, 2320, 44, 400, 9533, 26, 1952, 24916, 77, 15205, 81, 2320, 1130, 324, 813, 44, 400, 9533, 26, 1952, 24916, 77, 15205, 1130, 291, 4348, 3089, 328, 3042, 29226, 1392, 81, 24916, 44, 324, 415, 5736, 549, 358, 613, 81, 4694, 81, 17143, 44, 400, 3636, 1048, 440, 3259, 44, 26877, 3079, 4134, 657, 400, 9533, 26, 1952, 24916, 77, 34770, 1130, 400, 7116, 280, 617, 1657, 26, 687, 293, 9533, 26, 34, 27, 400, 9533, 26, 453, 77, 34, 1130, 400, 9533, 26, 453, 77, 35, 1130, 400, 617, 6993, 26, 687, 30, 2440, 77, 36, 614, 5736, 27 ]

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

[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 4, 4, 3, 4, 2, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 3, 4, 4, 2, 2, 3, 1, 1, 1, 5, 4, 4, 5, 5, 5, 5, 5, 1, 2, 2, 2, 2, 6, 5, 5, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 4, 6, 5, 5, 6, 6, 5, 0, 3, 3, 3, 3, 3, 2, 2, 4, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 0, 3, 3, 3, 3, 2, 2, 4, 6, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 5, 6, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 5, 5, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 7, 7, 7, 5, 5, 5, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 11, 13, 13, 12, 14, 14, 14, 13, 14, 13, 8, 8, 11, 14, 14, 13, 14, 14, 13, 14, 13, 13, 13, 7, 7, 8, 8, 8, 12, 14, 14, 13, 14, 13, 9, 9, 12, 13, 12, 5, 5, 6, 7, 7, 6, 6, 6, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 12, 14, 14, 13, 15, 15, 15, 14, 15, 14, 9, 9, 10, 11, 11, 12, 11, 11, 12, 13, 11, 10, 10, 12, 15, 15, 14, 15, 15, 14, 15, 14, 14, 14, 8, 8, 9, 9, 9, 13, 15, 15, 14, 15, 14, 10, 10, 13, 12, 12, 13, 13, 7, 7, 9, 9, 11, 11, 12, 11, 7, 10, 11, 10, 7, 7, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 10, 11, 10, 7, 7, 10, 11, 10, 9, 9, 12, 12, 13, 12, 10, 10, 5, 5, 6, 7, 7, 6, 6, 6, 8, 9, 9, 10, 10, 10, 10, 10, 10, 8, 8, 8, 12, 14, 14, 13, 14, 14, 14, 13, 8, 8, 9, 9, 9, 13, 15, 15, 14, 15, 14, 5, 5, 6, 7, 7, 8, 8, 8, 8, 6, 6, 6, 8, 9, 9, 10, 10, 10, 10, 10, 8, 8, 8, 10, 12, 14, 14, 14, 14, 14, 14, 9, 9, 12, 14, 14, 13, 14, 13, 9, 9, 11, 11, 13, 13, 14, 13, 9, 12, 13, 12, 9, 9, 12, 14, 13, 14, 13, 9, 9, 12, 14, 13, 14, 13, 9, 9, 12, 12, 13, 12, 12, 13, 14, 13, 12, 12 ]

[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 0, 5, 5, 0, 0, 0, 2, 1, 1, 2, 5, 5, 1, 1, 1, 1, 2, 0, 6, 6, 0, 0, 0, 2, 2, 1, 1, 2, 6, 6, 6, 0, 0, 0, 2, 2, 2, 2, 2, 6, 4, 4, 4, 4, 0, 0, 0, 2, 2, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 12, 12, 1, 2, 1, 2, 2, 2, 2, 2, 12, 12, 0, 0, 2, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 6, 1, 1, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 3, 3, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 4, 1, 1, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 3, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 3, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 3, 3, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 5, 1, 1, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 4, 4, 4, 1, 0, 0, 1, 2, 1, 0, 0, 6, 1, 1, 2, 2, 2, 2, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 1, 2, 1, 3, 3, 0, 0, 0, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 0, 1, 2, 1, 3, 3, 1, 0, 1, 2, 1, 3, 3, 0, 1, 1, 1, 1, 3, 2, 3, 1, 1 ]

[ 1070, 22045, 32, 2208, 1188, 1984, 4434, 203, 1070, 7138, 1188, 7138, 203, 1070, 3619, 29161, 1188, 8159, 30, 16155, 317, 4711, 4571, 7776, 424, 619, 281, 1140, 203, 1070, 298, 5974, 81, 1040, 32, 1040, 1188, 622, 81, 270, 96, 81, 668, 30, 622, 81, 10361, 81, 4419, 30, 622, 81, 6728, 203, 465, 13092, 203, 1070, 30902, 1188, 1344, 203, 1070, 996, 23239, 32, 1357, 1188, 4448, 203, 589, 894, 81, 371, 81, 270, 96, 81, 668, 26, 858, 81, 2848, 711, 284, 376, 2425, 280, 622, 81, 270, 96, 81, 668, 26, 858, 81, 2848, 30, 11544, 284, 1201, 2069, 26, 270, 2425, 27, 610, 225, 39, 34, 203, 50, 12408, 32, 1826, 32, 28913, 26, 284, 2884, 15106, 392, 313, 452, 81, 1613, 392, 313, 3140, 2113, 284, 428, 291, 308, 324, 428, 85, 1140, 32, 4573, 81, 426, 610, 313, 6142, 81, 1294, 3439, 324, 281, 1140, 32, 3723, 81, 314, 30, 324, 3037, 35, 34, 38, 40, 37, 37, 36, 392, 313, 35, 35, 36, 40, 35, 39, 34, 392, 313, 35, 35, 34, 40, 36, 34, 34, 3439, 291, 2588, 291, 308, 324, 428, 400, 281, 1140, 32, 1449, 81, 12133, 81, 1003, 848, 7138, 26, 36, 34, 34, 34, 30, 225, 35, 30, 225, 35, 471, 400, 281, 1140, 32, 887, 81, 12133, 81, 1003, 333, 7138, 26, 36, 34, 34, 34, 30, 225, 35, 30, 225, 37, 35, 471, 324, 2505, 324, 281, 1140, 32, 13548, 81, 314, 30, 324, 428, 353, 40, 35, 37, 30, 353, 42, 35, 37, 30, 353, 43, 35, 37, 30, 353, 35, 35, 35, 37, 30, 353, 35, 38, 35, 37, 30, 353, 35, 40, 35, 37, 30, 353, 36, 35, 35, 37, 30, 353, 36, 41, 41, 37, 30, 353, 35, 37, 35, 37, 30, 353, 35, 35, 37, 30, 353, 41, 35, 37, 30, 353, 35, 36, 35, 37, 30, 353, 36, 40, 41, 37, 30, 353, 36, 40, 35, 37, 30, 353, 38, 35, 37, 30, 324, 2505, 291, 2588, 291, 308, 324, 428, 85, 1140, 32, 887, 81, 12133, 81, 1003, 333, 7138, 26, 35, 43, 40, 39, 30, 225, 35, 30, 225, 35, 14155, 324, 281, 1140, 32, 13548, 81, 314, 30, 324, 428, 35, 37, 30, 225, 39, 35, 37, 30, 225, 40, 35, 37, 30, 225, 41, 35, 37, 30, 225, 42, 35, 37, 614, 291, 2588, 291, 308, 324, 428, 85, 1140, 32, 11044, 610, 313, 35, 31, 43546, 3439, 324, 281, 1140, 32, 4573, 81, 426, 30, 324, 3037, 3314, 64, 1013, 31, 73, 3347, 392, 313, 8849, 1926, 87, 392, 313, 6142, 81, 1294, 392, 313, 52, 1405, 392, 313, 7223, 31, 13904, 64, 3439, 291, 2588, 284, 2505, 203, 27, 203, 589, 894, 81, 371, 81, 270, 96, 81, 668, 81, 1793, 81, 2029, 26, 858, 81, 2848, 30, 13383, 30, 372, 81, 1613, 30, 2799, 711, 284, 376, 2425, 280, 622, 81, 270, 96, 81, 668, 26, 858, 81, 2848, 30, 13383, 30, 372, 81, 1613, 27, 284, 1201, 739, 26, 3140, 27, 610, 739 ]

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

[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 4, 4, 4, 4, 4, 2, 2, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 2, 2, 3, 6, 7, 7, 6, 4, 4, 5, 5, 0, 2, 6, 5, 6, 4, 5, 4, 4, 4, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 4, 4, 5, 5, 6, 6, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 6, 6, 8, 7, 8, 8, 8, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 5, 5, 6, 6, 7, 7, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 7, 7, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 7, 7, 6, 6, 8, 7, 8, 8, 8, 6, 6, 6, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 7, 6, 6, 5, 5, 6, 6, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 6, 6, 8, 7, 8, 8, 8, 6, 6, 6, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 6, 6, 5, 5, 6, 6, 10, 10, 9, 10, 8, 8, 10, 10, 10, 10, 6, 6, 8, 7, 8, 8, 8, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 6, 6, 5, 5, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 2, 2, 6, 5, 5, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 3, 3, 4, 7, 8, 7, 5, 5 ]

[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 5, 2, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 3, 3, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 3, 3, 0, 3, 2, 2, 2, 3, 3, 3, 5, 1, 1, 1, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 5, 9, 9, 9, 9, 5, 5, 11, 11, 11, 11, 5, 5, 13, 13, 13, 13, 5, 5, 15, 15, 15, 15, 5, 5, 17, 17, 17, 17, 5, 5, 19, 19, 19, 5, 5, 21, 21, 21, 5, 5, 23, 23, 23, 23, 5, 5, 25, 25, 25, 25, 5, 5, 27, 27, 27, 27, 5, 5, 29, 29, 29, 5, 5, 5, 3, 3, 3, 3, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 5, 5, 0, 3, 2, 2, 2, 5, 5, 5, 1, 1, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5, 9, 9, 9, 5, 5, 5, 3, 3, 7, 7, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 7, 7, 0, 3, 2, 2, 2, 7, 7, 7, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 5, 1, 1, 1, 2, 5, 1, 1, 2, 5, 1, 1, 1, 1, 2, 7, 7, 3, 3, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 1, 1, 1, 1, 1, 1 ]

[ 465, 5624, 203, 1070, 1673, 2304, 32, 16705, 85, 10199, 1188, 24977, 53, 8115, 203, 1070, 6436, 32, 2452, 2304, 32, 2493, 81, 2501, 1188, 2290, 81, 21823, 203, 1070, 6436, 32, 2452, 2304, 32, 85, 10199, 1188, 4281, 81, 1648, 81, 2872, 203, 325, 5624, 32, 2946, 346, 610, 330, 2839, 950, 284, 645, 6436, 32, 2452, 2304, 32, 874, 4816, 43, 10199, 1188, 488, 36886, 8115, 203, 823, 16766, 53, 8115, 26, 19541, 53, 8115, 711, 284, 8980, 81, 681, 280, 330, 21066, 25, 284, 10639, 81, 8022, 280, 330, 42948, 25, 284, 10639, 81, 1132, 280, 330, 88, 25370, 25, 284, 665, 1156, 1664, 3207, 784, 30, 9541, 47, 34, 30, 32609, 81, 1945, 47, 34, 30, 7650, 47, 34, 711, 291, 24977, 53, 8115, 3667, 1664, 3207, 784, 30, 9541, 30, 32609, 81, 1945, 30, 7650, 27, 291, 354, 280, 630, 32, 371, 81, 1648, 346, 291, 7680, 2215, 280, 330, 1676, 317, 25, 415, 354, 461, 354, 333, 330, 35, 39, 25, 813, 330, 99, 1676, 317, 25, 291, 630, 32, 1152, 81, 8022, 280, 2726, 42948, 429, 88, 25370, 429, 4426, 31, 1160, 6523, 429, 65, 37, 330, 5556, 6470, 88, 28490, 31, 1744, 31, 6805, 429, 2537, 1814, 1643, 26, 317, 2215, 27, 291, 8980, 280, 630, 32, 1152, 81, 8022, 291, 415, 5624, 32, 2946, 346, 610, 330, 35105, 4463, 950, 324, 7176, 81, 4555, 280, 6470, 23752, 5437, 6376, 30, 9010, 81, 10122, 25, 291, 813, 44, 324, 7176, 81, 4555, 280, 6470, 4190, 25, 291, 630, 32, 470, 81, 2493, 303, 6975, 26, 10199, 47, 10199, 30, 6035, 8980, 81, 762, 47, 10199, 30, 6035, 8980, 81, 21937, 47, 10199, 30, 6035, 5814, 8431, 1057, 15751, 282, 25, 474, 330, 281, 2947, 370, 6035, 38389, 81, 8022, 47, 10199, 474, 330, 429, 4190, 31, 21066, 370, 6035, 38389, 81, 762, 47, 10199, 474, 330, 330, 474, 7176, 81, 4555, 474, 6035, 330, 429, 4190, 31, 21066, 683, 203, 823, 16766, 1011, 278, 3876, 53, 8115, 26, 27790, 53, 8115, 711, 284, 8980, 81, 681, 280, 330, 4032, 274, 25, 284, 436, 10639, 81, 8022, 328, 1992, 26, 1809, 81, 21823, 30, 2107, 42948, 370, 330, 17721, 37886, 291, 415, 10639, 81, 8022, 44, 324, 1626, 203, 823, 16766, 4547, 40, 38, 6543, 8115, 26, 19541, 53, 8115, 711, 284, 8980, 81, 681, 280, 330, 4032, 2056, 25, 284, 10639, 81, 8022, 280, 330, 42948, 429, 95, 40, 38, 25, 284, 10639, 81, 1132, 280, 6470, 88, 25370, 25, 284, 665, 1156, 1664, 3207, 784, 30, 9541, 47, 34, 30, 32609, 81, 1945, 47, 34, 30, 7650, 47, 34, 711, 291, 24977, 53, 8115, 3667, 1664, 3207, 784, 30, 9541, 30, 32609, 81, 1945, 30, 7650, 27, 291, 354, 280, 630, 32, 371, 81, 1648, 346, 291, 7680, 2215, 280, 330, 1676, 317, 25, 415, 354, 461, 354, 333, 330, 35, 39, 25, 813, 330, 99, 1676, 317, 25, 291, 630, 32, 1152, 81, 8022, 280, 2726, 42948, 429, 1530, 47, 85, 43, 43, 429, 95, 40, 38, 429, 88, 25370, 429, 4426 ]

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

[ 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 5, 4, 2, 2, 4, 4, 1, 1, 3, 4, 5, 5, 4, 5, 5, 5, 5, 3, 3, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 9, 9, 7, 7, 8, 8, 9, 9, 11, 11, 11, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 9, 9, 8, 4, 4, 6, 6, 7, 8, 8, 8, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 8, 5, 5, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 6, 6, 10, 10, 9, 9, 11, 11, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 7, 7, 9, 9, 8, 9, 7, 7, 7, 9, 9, 8, 9, 7, 7, 7, 9, 8, 11, 11, 11, 9, 9, 11, 11, 11, 7, 7, 9, 9, 8, 10, 9, 9, 11, 11, 11, 11, 11, 7, 7, 9, 9, 8, 12, 11, 11, 13, 10, 10, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 5, 5, 8, 8, 6, 8, 8, 3, 3, 5, 6, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 9, 9, 7, 7, 8, 8, 9, 9, 11, 11, 11, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12 ]

[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 1, 4, 4, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 5, 0, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 4, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 1, 0, 7, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 9, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 11, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 20, 25819, 32, 15471, 4442, 33, 4820, 436, 5605, 4333, 9750, 3107, 203, 465, 316, 203, 1070, 4096, 32, 2825, 1188, 10268, 2825, 203, 1070, 4096, 32, 7352, 1188, 10268, 38106, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 3634, 81, 4770, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 18548, 81, 466, 203, 1270, 44, 284, 1188, 44175, 32, 1262, 284, 1188, 44175, 32, 5459, 284, 1188, 44175, 32, 25882, 32, 9632, 32, 9715, 203, 7343, 29986, 44, 284, 44175, 81, 297, 81, 7230, 280, 3177, 203, 1824, 44, 284, 44175, 81, 297, 81, 7230, 280, 2933, 203, 589, 11760, 81, 1427, 800, 26, 1427, 800, 711, 284, 415, 646, 48558, 556, 646, 48558, 32, 7201, 2262, 291, 442, 4247, 284, 5430, 280, 48558, 32, 8931, 10487, 922, 2998, 4446, 346, 284, 10525, 280, 1847, 2009, 1657, 26, 928, 27, 429, 2069, 26, 928, 32, 94, 7201, 1157, 436, 1628, 328, 5430, 415, 1628, 32, 94, 7201, 27944, 284, 41556, 280, 428, 4446, 77, 34, 997, 94, 7201, 7662, 474, 428, 928, 77, 9378, 44, 997, 38848, 346, 436, 1628, 328, 5430, 77, 35, 46017, 284, 442, 2706, 96, 2296, 2524, 26, 45797, 547, 7201, 346, 203, 589, 3185, 81, 1427, 800, 26, 1427, 800, 711, 284, 48558, 280, 11760, 81, 1427, 800, 26, 1427, 800, 27, 284, 8710, 280, 316, 32, 2998, 26, 100, 10255, 96, 109, 36, 30, 10047, 48558, 27, 284, 1780, 280, 8710, 77, 34, 79, 284, 415, 2069, 26, 10031, 27, 610, 225, 35, 44, 291, 3361, 280, 4247, 291, 5035, 280, 2149, 284, 813, 44, 291, 4118, 280, 10268, 2825, 346, 291, 1596, 44, 324, 5035, 280, 4118, 32, 2208, 466, 26, 10031, 6448, 35, 1130, 291, 2940, 10268, 38106, 44, 324, 5035, 280, 2149, 324, 3361, 280, 2706, 96, 78, 96, 2296, 2524, 26, 10031, 77, 35, 19572, 291, 813, 44, 324, 5035, 280, 5436, 26, 4519, 32, 3028, 1157, 324, 415, 5035, 44, 400, 3361, 280, 2706, 96, 78, 96, 2296, 2524, 26, 10031, 77, 35, 5979, 35, 1130, 324, 813, 44, 400, 3361, 280, 2706, 96, 78, 96, 2296, 2524, 26, 10031, 77, 35, 19572, 284, 442, 1780, 30, 3361, 30, 5035, 203, 589, 3185, 81, 9632, 26, 878, 30, 1244, 81, 3576, 81, 1819, 30, 7913, 81, 44109, 81, 12881, 47, 2521, 711, 284, 20006, 280, 301, 291, 330, 1409, 288, 778, 81, 37749, 25, 499, 2933, 30, 291, 330, 1664, 279, 81, 2111, 81, 2649, 25, 499, 225, 37, 30, 291, 313, 1536, 81, 3576, 81, 1819, 20, 499, 1244, 81, 3576, 81, 1819, 30, 291, 313, 1204, 81, 1439, 20, 499, 10156, 463, 11025, 31, 339, 24018, 27968, 31, 1427, 2388, 1814, 38848, 24667, 284, 320, 284, 415, 7913, 81, 44109, 81, 12881, 44, 291, 7913, 81, 44109, 81, 12881, 280, 18548, 81, 466, 10374, 23, 101, 5844, 904, 7913, 81, 44109, 81, 12881, 27, 284, 8710, 280, 44175, 32, 1262, 32, 7211, 81, 10031, 26, 878, 30, 1914, 81, 983, 47, 1944, 81, 44109, 81, 12881 ]

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

[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 4, 5, 2, 2, 3, 4, 5, 2, 2, 3, 4, 5, 4, 5, 4, 5, 1, 2, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 1, 2, 2, 2, 2, 6, 6, 6, 6, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 4, 4, 5, 7, 8, 7, 3, 3, 5, 2, 2, 4, 4, 8, 9, 9, 8, 7, 7, 6, 2, 2, 4, 4, 6, 10, 10, 11, 10, 8, 8, 10, 13, 12, 13, 13, 12, 7, 8, 8, 8, 7, 8, 10, 11, 11, 10, 2, 2, 4, 4, 10, 9, 10, 9, 9, 9, 8, 5, 5, 10, 9, 11, 10, 9, 9, 8, 6, 7, 7, 7, 8, 10, 9, 2, 2, 3, 10, 9, 8, 7, 8, 7, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 4, 4, 5, 6, 5, 2, 2, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 6, 6, 4, 4, 6, 6, 3, 3, 4, 4, 4, 7, 7, 9, 9, 5, 5, 6, 6, 6, 9, 9, 11, 12, 12, 11, 13, 12, 14, 12, 6, 6, 7, 8, 7, 7, 7, 10, 10, 8, 8, 10, 10, 15, 15, 15, 14, 13, 12, 14, 13, 15, 14, 6, 6, 7, 7, 7, 10, 10, 12, 15, 14, 15, 14, 8, 8, 9, 9, 9, 9, 12, 12, 17, 17, 17, 16, 15, 14, 16, 15, 17, 16, 18, 15, 9, 9, 10, 10, 10, 13, 13, 18, 18, 18, 17, 16, 15, 17, 16, 18, 17, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 5, 5, 2, 2, 3, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8, 8, 8, 11, 11, 11, 9, 9, 10, 10, 10, 10, 8, 2, 2, 4, 4, 7, 8, 6, 7, 7, 7, 6, 7, 6, 6, 8, 8, 7, 8, 8, 8, 8, 8 ]

[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 7, 7, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 4, 1, 6, 7, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 7, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 3, 0, 2, 4, 4, 4, 0, 2, 2, 1, 1, 1, 2, 1, 0, 9, 9, 1, 1, 1, 2, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 4, 4, 4, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 3, 1, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 4, 4, 4, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 4, 4, 4, 1, 1, 1, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 0, 0, 0, 0, 5, 2, 2, 10, 10, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2 ]

[ 465, 5237, 203, 1070, 6436, 32, 4266, 1188, 319, 203, 465, 6436, 619, 2065, 203, 2516, 280, 428, 2356, 32, 2420, 3739, 2065, 32, 2263, 30, 2065, 32, 37928, 30, 2065, 32, 4021, 30, 2065, 32, 17470, 30, 2065, 32, 410, 85, 30, 2065, 32, 1774, 85, 30, 276, 2065, 32, 410, 3739, 2065, 32, 1774, 30, 2065, 32, 3222, 3222, 30, 2065, 32, 15473, 3222, 30, 276, 2065, 32, 6270, 30, 2065, 32, 2627, 30, 2065, 32, 3222, 2627, 30, 2065, 32, 1729, 2712, 30, 276, 2065, 32, 85, 2627, 30, 2065, 32, 573, 788, 2627, 79, 203, 4543, 81, 2516, 280, 428, 2065, 32, 2263, 30, 2065, 32, 37928, 30, 2065, 32, 4021, 30, 2065, 32, 17470, 30, 3083, 2065, 32, 410, 85, 30, 2065, 32, 1774, 85, 30, 3083, 2065, 32, 410, 3739, 2065, 32, 1774, 30, 2065, 32, 3222, 3222, 30, 2065, 32, 15473, 3222, 30, 3083, 2065, 32, 6270, 30, 2065, 32, 2627, 30, 2065, 32, 3222, 2627, 1481, 203, 11476, 81, 2516, 280, 428, 2065, 32, 1729, 2712, 30, 2065, 32, 85, 2627, 30, 2065, 32, 573, 788, 2627, 1481, 203, 823, 2108, 2424, 26, 7233, 711, 284, 665, 894, 81, 2516, 26, 784, 30, 3193, 47, 35, 711, 291, 436, 821, 411, 328, 3738, 44, 324, 312, 280, 821, 411, 26, 35, 27, 324, 1201, 312, 610, 225, 35, 30, 313, 731, 623, 904, 100, 44, 5424, 904, 100, 20, 904, 308, 12264, 30, 83, 27, 284, 665, 894, 81, 681, 81, 669, 26, 784, 30, 3193, 47, 35, 711, 291, 436, 831, 30, 821, 411, 328, 10703, 26, 2516, 711, 324, 909, 83, 280, 821, 411, 26, 37, 27, 324, 909, 35, 280, 2065, 32, 955, 2009, 37, 614, 12010, 47, 12264, 27, 324, 436, 456, 30, 323, 681, 328, 10703, 26, 2516, 711, 400, 909, 84, 280, 323, 681, 26, 35, 27, 400, 909, 36, 280, 2065, 32, 955, 2009, 35, 614, 12010, 47, 84, 681, 27, 400, 909, 280, 909, 83, 474, 909, 84, 400, 909, 97, 280, 909, 35, 474, 909, 36, 400, 1201, 909, 32, 12010, 32, 1516, 610, 909, 97, 32, 12010, 32, 1516, 461, 766, 5556, 909, 32, 12010, 32, 1594, 610, 909, 97, 32, 12010, 32, 1594, 30, 766, 5556, 313, 731, 623, 10027, 86, 9726, 86, 4731, 904, 308, 93, 30, 94, 27, 284, 665, 894, 81, 681, 81, 25330, 26, 784, 30, 3193, 47, 35, 711, 291, 436, 831, 30, 821, 411, 328, 10703, 26, 2516, 711, 324, 909, 83, 280, 821, 411, 26, 37, 27, 324, 909, 35, 280, 2065, 32, 955, 2009, 37, 614, 12010, 47, 12264, 27, 324, 436, 456, 30, 323, 681, 328, 10703, 26, 2516, 711, 400, 909, 84, 280, 323, 681, 26, 35, 27, 400, 909, 36, 280, 2065, 32, 955, 2009, 35, 614, 12010, 47, 84, 681, 27, 400, 909, 280, 909, 83, 429, 909, 84, 400, 909, 97, 280, 909, 35, 429, 909, 36, 400, 1201, 909, 32, 12010, 32, 1516, 610, 909, 97, 32, 12010, 32, 1516, 461, 766, 5556, 909, 32, 12010, 32, 1594, 610 ]

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

[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 0, 3, 2, 2, 5, 4, 5, 5, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 3, 0, 3, 3, 3, 2, 2, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 5, 3, 4, 5, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 3, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 5, 3, 0, 3, 3, 3, 2, 2, 3, 4, 5, 5, 3, 3, 4, 5, 5, 3, 3, 4, 5, 5, 5, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 5, 5, 8, 8, 10, 10, 11, 10, 6, 6, 7, 8, 8, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 7, 5, 5, 7, 8, 7, 5, 5, 9, 8, 8, 10, 10, 11, 10, 6, 6, 9, 8, 8, 10, 11, 10, 12, 11, 12, 11, 12, 10, 6, 6, 7, 8, 8, 9, 7, 7, 9, 10, 9, 7, 7, 11, 10, 10, 12, 12, 13, 12, 8, 8, 11, 10, 10, 12, 13, 12, 14, 13, 14, 13, 14, 14, 12, 8, 8, 10, 10, 12, 11, 11, 12, 8, 8, 11, 10, 10, 12, 11, 11, 12, 8, 8, 9, 13, 14, 12, 13, 11, 11, 14, 13, 14, 12, 13, 10, 10, 11, 10, 13, 14, 12, 13, 11, 11, 14, 13, 14, 12, 13, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 7, 5, 5, 7, 8, 7, 5, 5, 9, 8, 8, 10, 10, 11, 10, 6, 6, 9, 8, 8, 10, 11, 10, 12, 11, 12, 11, 12, 10, 6, 6, 7, 8, 8, 9, 7, 7, 9, 10, 9, 7, 7, 11, 10, 10, 12, 12, 13, 12, 8, 8, 11, 10, 10, 12, 13, 12, 14, 13, 14, 13, 14, 14, 12, 8, 8, 10, 10, 12, 11, 11, 12, 8, 8, 11, 10, 10, 12, 11, 11, 12, 8, 8, 9, 13, 14, 12, 13, 11, 11, 14, 13, 14, 12, 13, 10, 10, 11, 10, 13, 14, 12, 13, 11 ]

[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 2, 13, 2, 2, 2, 2, 2, 15, 2, 2, 2, 17, 2, 2, 2, 19, 2, 2, 2, 2, 21, 2, 2, 2, 2, 2, 23, 2, 2, 2, 25, 2, 2, 2, 27, 2, 2, 2, 2, 29, 2, 2, 2, 2, 2, 31, 2, 2, 2, 2, 33, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 2, 17, 2, 2, 2, 2, 19, 2, 2, 2, 2, 2, 21, 2, 2, 2, 23, 2, 2, 2, 25, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 3, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 5, 5, 4, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 3, 3, 0, 0, 2, 2, 2, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 3, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 5, 5, 4, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 3 ]

[ 505, 2116, 505, 280, 313, 501, 11083, 1224, 14619, 333, 9910, 694, 821, 14699, 86, 1601, 8057, 767, 5844, 203, 505, 13411, 505, 280, 313, 1006, 5276, 32, 978, 225, 34, 32, 37, 41, 32, 54, 34, 34, 35, 225, 36, 34, 35, 34, 33, 34, 35, 33, 35, 35, 225, 35, 40, 44, 39, 39, 44, 39, 34, 831, 14619, 20, 203, 505, 1648, 505, 280, 313, 34, 32, 37, 41, 20, 203, 465, 19493, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 316, 203, 465, 22977, 203, 465, 6314, 203, 465, 802, 203, 465, 5237, 203, 465, 29590, 203, 465, 1133, 203, 465, 27374, 203, 465, 3738, 203, 465, 2680, 720, 203, 505, 464, 505, 280, 428, 284, 330, 4903, 81, 268, 370, 284, 330, 5066, 81, 858, 370, 284, 330, 1347, 81, 1267, 370, 284, 330, 4617, 81, 858, 370, 284, 330, 2872, 81, 16925, 370, 284, 330, 2872, 81, 268, 370, 284, 330, 2872, 81, 268, 81, 4260, 464, 370, 284, 330, 2958, 81, 21823, 370, 284, 330, 1006, 5276, 25, 203, 79, 203, 1270, 44, 284, 1188, 5839, 1356, 203, 7343, 29986, 44, 284, 1156, 464, 9818, 1689, 463, 6656, 81, 4903, 683, 203, 589, 438, 81, 720, 26, 87, 711, 284, 442, 827, 26, 87, 27, 438, 3738, 32, 39309, 766, 291, 556, 6937, 26, 87, 30, 2680, 720, 32, 47741, 27, 203, 1270, 44, 284, 645, 2680, 652, 1188, 2680, 652, 203, 7343, 29986, 44, 284, 443, 2680, 652, 44, 291, 3097, 203, 325, 19326, 26, 2516, 30, 330, 14923, 620, 7831, 284, 665, 438, 81, 652, 26, 87, 711, 291, 442, 827, 26, 87, 27, 438, 3738, 32, 47639, 766, 324, 556, 827, 26, 87, 27, 438, 3738, 32, 14923, 620, 766, 324, 556, 6937, 26, 87, 30, 2680, 652, 27, 203, 1824, 44, 284, 665, 438, 81, 652, 26, 87, 711, 291, 442, 827, 26, 87, 27, 438, 3738, 32, 47639, 556, 6937, 26, 87, 30, 2680, 652, 27, 203, 1433, 761, 32, 2387, 280, 330, 858, 3515, 4564, 203, 325, 2322, 32, 426, 328, 2726, 28950, 370, 330, 566, 7831, 284, 29590, 32, 2387, 280, 330, 858, 3515, 4564, 474, 596, 26, 500, 32, 371, 6320, 1157, 474, 18491, 203, 1824, 44, 284, 29590, 32, 2387, 280, 330, 858, 3515, 4564, 203, 268, 81, 1166, 280, 316, 32, 6993, 9442, 101, 683, 203, 81, 20253, 280, 1605, 203, 81, 5074, 81, 452, 81, 4775, 1298, 280, 1665, 203, 589, 617, 6008, 2262, 284, 3649, 617, 20253, 284, 5063, 668, 280, 2761, 26, 2521, 30, 617, 20253, 27, 284, 3555, 617, 20253, 31445, 284, 5063, 668, 32, 9833, 346, 284, 436, 894, 328, 5063, 668, 44, 291, 894, 32, 15276, 346, 284, 415, 617, 5074, 81, 452, 81, 4775, 1298, 44, 291, 617, 5074, 81, 452, 81, 4775, 1298, 346, 203, 1270, 44, 284, 1188, 821, 4775, 203, 7343, 29986, 44, 284, 1596, 44, 291, 617, 5074, 81, 452, 81, 4775, 1298, 280, 5237, 32, 4775, 1298, 284, 2940, 29316, 44, 291, 3097, 284, 5237, 32, 4775, 1298, 280, 617, 6008 ]

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

[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 7, 7, 7, 6, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 7, 8, 7, 5, 5, 6, 7, 4, 5, 4, 4, 6, 7, 6, 6, 8, 7, 8, 6, 0, 1, 1, 1, 1, 3, 5, 3, 3, 5, 1, 2, 2, 2, 2, 2, 4, 5, 4, 4, 4, 0, 1, 1, 3, 4, 3, 3, 5, 5, 5, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 10, 8, 8, 9, 10, 7, 8, 7, 7, 10, 11, 10, 8, 8, 9, 10, 10, 6, 7, 6, 6, 8, 9, 8, 8, 9, 8, 1, 2, 2, 2, 2, 4, 5, 5, 5, 6, 5, 4, 4, 6, 10, 11, 10, 8, 8, 9, 10, 7, 7, 9, 10, 9, 9, 10, 9, 0, 4, 4, 3, 4, 2, 2, 4, 4, 4, 0, 1, 1, 3, 4, 2, 2, 5, 5, 3, 5, 5, 1, 1, 5, 6, 4, 4, 8, 8, 8, 6, 6, 8, 11, 10, 11, 11, 10, 5, 5, 1, 2, 2, 2, 2, 6, 7, 5, 5, 7, 7, 7, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 1, 1, 3, 4, 2, 2, 5, 4, 4, 6, 7, 6, 6, 7, 6, 2, 2, 3, 5, 4, 2, 2, 6, 5, 6, 5, 2, 2, 3, 3, 3, 4, 3, 3, 3, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 4, 4, 4, 8, 8, 8, 8, 8, 8, 7, 7, 8, 9, 9, 4, 4, 5, 5, 5, 5, 3, 3, 6, 7, 7, 5, 5, 6 ]

[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 14, 14, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 17, 17, 17, 17, 0, 0, 17, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 2, 0, 18, 18, 1, 1, 2, 1, 2, 18, 18, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 0, 19, 19, 19, 19, 0, 0, 0, 0, 0, 19, 3, 3, 3, 3, 3, 0, 1, 0, 0, 0, 0, 20, 20, 1, 1, 1, 1, 1, 1, 2, 20, 20, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 20, 4, 4, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 22, 22, 0, 2, 1, 1, 1, 2, 2, 1, 2, 22, 22, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 22, 4, 4, 4, 4, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 26, 1, 2, 26, 26, 0, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 2, 0, 1, 4, 4, 0, 0, 2, 1, 4, 4, 4, 4, 4, 3, 4, 4, 4, 0, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 27, 27, 27, 27, 0, 0, 27, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 0, 2, 2, 0, 0, 2 ]

[ 465, 2361, 203, 465, 316, 203, 465, 15798, 203, 465, 1420, 203, 823, 7137, 1006, 26, 18986, 32, 7233, 711, 334, 665, 894, 81, 2208, 81, 1132, 81, 1253, 26, 784, 711, 284, 4774, 280, 428, 291, 11363, 725, 370, 291, 3005, 3986, 31, 7981, 32, 725, 370, 291, 11363, 2035, 31, 725, 370, 291, 3005, 1632, 32, 725, 370, 291, 11363, 37918, 31, 1832, 31, 1648, 370, 291, 330, 35, 36, 37, 8183, 370, 291, 11363, 541, 31, 1515, 370, 291, 330, 6060, 33, 1515, 25, 284, 1481, 284, 15684, 280, 1420, 32, 7981, 346, 284, 15684, 32, 2208, 81, 1132, 26, 3515, 27, 284, 630, 32, 6549, 26, 10340, 32, 1132, 32, 725, 610, 3005, 3986, 31, 7981, 32, 725, 683, 334, 665, 894, 81, 2208, 81, 1132, 81, 716, 422, 449, 81, 5134, 81, 1648, 26, 784, 711, 284, 894, 81, 10996, 280, 428, 291, 301, 324, 330, 731, 950, 353, 36, 30, 324, 330, 3515, 950, 428, 400, 11363, 5134, 370, 400, 330, 24600, 1593, 370, 400, 11363, 1648, 370, 400, 330, 35, 37, 32, 36, 32, 36, 370, 400, 11363, 37918, 31, 1832, 31, 1648, 370, 400, 330, 35, 36, 37, 8183, 370, 400, 11363, 541, 31, 1515, 370, 400, 330, 6060, 33, 1515, 25, 324, 2505, 291, 801, 291, 301, 324, 330, 731, 950, 353, 36, 30, 324, 330, 3515, 950, 428, 400, 11363, 716, 422, 449, 370, 400, 330, 983, 33, 452, 33, 716, 422, 449, 370, 400, 11363, 1648, 370, 400, 330, 35, 37, 32, 36, 32, 36, 370, 400, 11363, 37918, 31, 1832, 31, 1648, 370, 400, 330, 35, 36, 37, 8183, 370, 400, 11363, 541, 31, 1515, 370, 400, 330, 6060, 33, 1515, 25, 324, 2505, 291, 801, 291, 301, 324, 330, 731, 950, 353, 36, 30, 324, 330, 3515, 950, 428, 400, 11363, 716, 422, 449, 370, 400, 330, 983, 33, 452, 33, 716, 422, 449, 370, 400, 11363, 5134, 370, 400, 330, 24600, 1593, 370, 400, 11363, 37918, 31, 1832, 31, 1648, 370, 400, 330, 35, 36, 37, 8183, 370, 400, 11363, 541, 31, 1515, 370, 400, 330, 6060, 33, 1515, 25, 324, 2505, 291, 801, 284, 1481, 284, 15684, 280, 1420, 32, 7981, 346, 284, 436, 894, 81, 1732, 328, 894, 81, 10996, 44, 397, 623, 630, 32, 23895, 26, 1598, 8112, 27, 619, 3692, 44, 291, 15684, 32, 2208, 81, 1132, 26, 858, 81, 1732, 710, 3515, 3490, 291, 630, 32, 6549, 26, 268, 32, 2872, 463, 12172, 6377, 1169, 556, 4909, 432, 319, 370, 3692, 32, 1436, 490, 291, 630, 32, 5299, 26, 2095, 32, 3893, 32, 687, 30, 894, 81, 1732, 710, 731, 3490, 334, 665, 894, 81, 2208, 81, 1132, 81, 37918, 81, 568, 3577, 29802, 367, 81, 15965, 26, 784, 711, 284, 894, 81, 10996, 280, 428, 291, 301, 324, 330, 731, 950, 353, 36, 30, 324, 330, 3515, 950, 428, 400, 11363, 37918, 31, 568, 3577, 29802, 367, 370, 400, 11363, 5134, 370, 400, 330, 24600, 1593, 370, 400, 11363, 37918, 31, 1832, 31, 1648, 370, 400, 330, 35, 36, 37, 8183, 370 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 8, 8, 11, 11, 9, 10, 8, 8, 8, 11, 11, 9, 10, 10, 12, 12, 10, 10, 12, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 8, 8, 7, 7, 8, 8, 11, 11, 9, 10, 8, 8, 8, 11, 11, 9, 10, 10, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 8, 8, 7, 7, 8, 8, 11, 11, 9, 10, 8, 8, 8, 11, 11, 9, 10, 10, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 8, 8, 7, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 7, 12, 13, 12, 13, 13, 12, 10, 10, 7, 7, 7, 11, 12, 12, 12, 11, 13, 13, 13, 12, 14, 14, 8, 8, 11, 12, 11, 14, 13, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 13, 14, 15, 13, 8, 8, 11, 12, 11, 14, 13, 14, 12, 13, 11, 11, 13, 13, 12, 14, 14, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 8, 8, 11, 11, 9, 10, 8, 8, 8, 11, 11, 9, 10, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 10, 10, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 3, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 1, 2, 1, 2, 3, 3, 3, 1, 2, 3, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 5, 5, 1, 2, 1, 2, 5, 5, 5, 1, 2, 3, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 5, 5, 2, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2 ]

[ 465, 5237, 203, 465, 2361, 203, 465, 22045, 203, 465, 22045, 36, 203, 1070, 1984, 2208, 1188, 1984, 2208, 203, 1070, 7138, 1188, 7138, 203, 465, 11040, 36, 2304, 203, 1070, 5592, 10172, 3557, 1188, 3185, 203, 823, 3772, 1486, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2857, 30, 9313, 30, 1984, 30, 2179, 47, 2521, 30, 353, 5868, 47, 37, 34, 34, 30, 4588, 47, 2700, 30, 6699, 1057, 1467, 5793, 299, 7831, 291, 630, 32, 3560, 280, 2857, 291, 630, 32, 7241, 280, 9313, 291, 630, 32, 965, 280, 1984, 291, 630, 32, 1643, 280, 2179, 291, 630, 32, 5457, 280, 5868, 291, 630, 32, 2811, 280, 4588, 291, 630, 32, 3419, 280, 6699, 284, 665, 617, 371, 81, 1141, 26, 784, 30, 3193, 711, 291, 415, 18623, 26, 3731, 30, 7610, 371, 1744, 370, 1665, 27, 438, 646, 1665, 44, 324, 2098, 280, 5237, 1114, 371, 1744, 26, 2649, 547, 88, 81, 687, 324, 3420, 280, 18623, 26, 784, 30, 2098, 32, 331, 81, 426, 30, 1665, 27, 324, 415, 3420, 438, 646, 1665, 461, 20695, 26, 1298, 711, 400, 442, 2098, 32, 331, 81, 426, 291, 813, 44, 324, 3636, 3268, 463, 11394, 10847, 2125, 636, 544, 458, 5624, 683, 284, 665, 622, 81, 9569, 26, 784, 30, 2803, 711, 291, 3616, 280, 1984, 2208, 26, 784, 32, 965, 27, 291, 3408, 280, 3616, 32, 1299, 881, 291, 415, 308, 2403, 32, 13627, 610, 330, 525, 25, 461, 3408, 32, 20643, 16487, 42, 34, 2847, 556, 766, 400, 308, 2403, 32, 13627, 610, 330, 641, 25, 461, 3408, 32, 20643, 16487, 38, 38, 37, 41095, 324, 3408, 280, 3408, 2867, 2035, 32, 100, 1809, 16487, 12357, 291, 1519, 280, 3616, 32, 983, 291, 415, 3616, 32, 983, 610, 40496, 324, 1519, 280, 13637, 291, 18338, 81, 2665, 280, 301, 324, 330, 3560, 950, 630, 32, 3560, 30, 324, 330, 2035, 950, 3408, 30, 324, 330, 13430, 950, 330, 3705, 370, 324, 330, 983, 950, 1519, 30, 324, 330, 2132, 950, 2803, 30, 291, 320, 291, 33316, 280, 11040, 36, 2304, 32, 24281, 36, 23583, 26, 784, 32, 7241, 27, 291, 442, 33316, 32, 5536, 26, 16311, 81, 2665, 27, 284, 665, 622, 81, 384, 102, 462, 5782, 26, 784, 30, 484, 30, 4588, 711, 291, 4245, 280, 484, 32, 850, 346, 291, 415, 4588, 44, 324, 1459, 4245, 291, 1596, 44, 324, 415, 330, 3164, 33, 2593, 25, 328, 484, 32, 5078, 32, 371, 463, 1777, 31, 620, 370, 1665, 711, 400, 645, 4942, 32, 2593, 10172, 3557, 1188, 3185, 400, 4245, 280, 3185, 26, 3958, 27, 324, 813, 44, 400, 1188, 2361, 400, 4245, 280, 2361, 32, 12474, 26, 3958, 27, 324, 415, 330, 27774, 25, 328, 4245, 44, 400, 4245, 280, 4245, 710, 27774, 785, 324, 415, 330, 924, 25, 328, 4245, 44, 400, 4245, 280, 4245, 710, 924, 785, 324, 415, 330, 731, 25, 328, 4245, 44, 400, 4245, 280, 4245, 710, 731, 785, 324, 415, 330, 1436, 25, 328, 4245, 44, 400, 4245, 280, 4245, 710, 1436, 785, 324, 4348, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 6, 6, 4, 4, 5, 6, 4, 4, 5, 7, 7, 7, 7, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 8, 8, 10, 10, 10, 8, 8, 6, 6, 6, 5, 5, 5, 8, 8, 11, 12, 12, 11, 12, 11, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 10, 11, 12, 12, 12, 10, 10, 10, 6, 6, 7, 9, 9, 9, 8, 8, 10, 11, 10, 7, 7, 9, 10, 11, 11, 11, 5, 5, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 6, 6, 7, 8, 8, 4, 4, 5, 11, 10, 11, 9, 9, 11, 11, 8, 8, 10, 11, 10, 12, 12, 12, 6, 6, 7, 6, 11, 10, 11, 9, 9, 11, 11, 8, 8, 10, 11, 10, 12, 12, 12, 12, 5, 5, 8, 8, 9, 13, 12, 13, 13, 12, 14, 4, 4, 6, 6, 7, 8, 4, 4, 5, 7, 8, 6, 6, 5, 5, 8, 8, 4, 4, 7, 7, 6, 6, 7, 7, 10, 10, 8, 9, 10, 7, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 7, 7, 7, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 5, 7, 4, 4, 5, 5, 5, 7, 10, 10, 10, 10, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 10, 10, 7, 7, 9, 10, 11, 11, 11, 9, 9, 8, 8, 10, 10, 12, 13, 12, 7, 7, 8, 8, 8, 10, 9, 9, 11, 11, 13, 14, 13, 14, 13, 6, 6, 7, 10, 10, 8, 8, 7, 7, 7, 10, 10, 11, 13, 13, 6, 6, 7, 10, 10, 8, 8, 7, 7, 7, 10, 10, 11, 13, 13, 6, 6, 7, 10, 10, 8, 8, 7, 7, 7, 10, 10, 11, 13, 13, 6, 6, 7, 10, 10, 8, 8, 7, 7, 7, 10, 10, 11, 13, 13, 7, 7, 8 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 2, 2, 2, 13, 2, 2, 2, 15, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 3, 3, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 2, 2, 4, 4, 4, 0, 2, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 7, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 0, 4, 4, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 3, 1, 2, 1, 1, 3, 3, 3, 0, 0, 2, 1, 2, 2, 2, 4, 1, 2, 1, 1, 4, 4, 4, 0, 0, 2, 1, 2, 4, 4, 4 ]

[ 1070, 19177, 32, 2393, 32, 13995, 1188, 319, 203, 1070, 19177, 32, 105, 1872, 23718, 1188, 5081, 81, 17107, 203, 1070, 19177, 32, 1986, 1188, 3338, 81, 853, 203, 1070, 19177, 32, 525, 11452, 1188, 319, 203, 1070, 19177, 32, 525, 5078, 1188, 10757, 17400, 2893, 30, 624, 18906, 81, 40060, 31198, 30, 3042, 21836, 81, 4975, 203, 465, 2322, 203, 589, 3022, 26, 12757, 30, 1477, 81, 1986, 711, 284, 1795, 280, 3042, 21836, 81, 4975, 26, 12757, 27, 284, 1477, 81, 1986, 440, 36, 34, 34, 9199, 392, 39109, 1777, 31, 620, 370, 330, 878, 33, 7355, 1425, 6035, 2726, 1777, 31, 2380, 370, 2069, 26, 1286, 7748, 284, 442, 1795, 203, 21355, 280, 313, 2142, 44, 573, 282, 479, 104, 693, 32, 508, 30, 36, 34, 34, 39, 44, 4266, 20, 203, 589, 1751, 4068, 26, 12757, 30, 24482, 30, 952, 711, 284, 3882, 280, 1149, 26, 699, 27, 284, 3882, 32, 9833, 346, 284, 3882, 280, 34873, 2524, 26, 2895, 27, 284, 442, 19272, 81, 2895, 26, 21355, 30, 952, 30, 3882, 27, 203, 3164, 280, 6227, 15100, 1972, 26, 3164, 30, 21355, 30, 975, 4068, 27, 203, 3164, 280, 4808, 35621, 26, 3164, 27, 203, 589, 1505, 26, 699, 30, 3882, 30, 1519, 3784, 10280, 284, 308, 1517, 30, 5078, 30, 1286, 30, 4275, 27, 280, 766, 291, 5081, 81, 17107, 26, 3164, 30, 983, 30, 5514, 1057, 878, 33, 916, 683, 284, 1201, 2287, 32, 15990, 440, 38, 34, 35, 657, 284, 18281, 280, 624, 18906, 81, 40060, 31198, 26, 5078, 27, 284, 1789, 280, 10757, 17400, 2893, 26, 699, 47, 699, 30, 3882, 47, 2895, 30, 6035, 18281, 47, 18047, 30, 1519, 47, 983, 27, 284, 1201, 313, 15100, 20, 328, 1789, 461, 952, 328, 1789, 284, 308, 1517, 30, 5078, 30, 1286, 30, 4275, 27, 280, 766, 291, 5081, 81, 17107, 26, 3164, 30, 983, 30, 715, 4808, 81, 47527, 47, 1986, 27, 284, 415, 2287, 32, 15990, 440, 36, 34, 34, 10280, 291, 442, 1795, 284, 415, 2287, 32, 15990, 440, 38, 34, 35, 10280, 291, 442, 1665, 284, 1201, 3177, 30, 313, 10203, 5400, 44, 904, 101, 20, 904, 2287, 203, 589, 894, 81, 13995, 2262, 284, 1201, 330, 12496, 25, 610, 1505, 440, 12496, 1461, 2314, 930, 657, 284, 1201, 1505, 440, 12496, 1461, 3371, 657, 438, 1665, 203, 325, 2322, 32, 12757, 32, 371, 440, 3765, 81, 22251, 1461, 10280, 284, 1188, 22045, 36, 284, 645, 19177, 32, 2811, 32, 858, 1786, 1188, 13942, 284, 2145, 280, 13942, 26, 3164, 27, 284, 665, 3796, 5140, 26, 699, 30, 2895, 30, 983, 3784, 392, 21355, 47, 21355, 711, 291, 2145, 32, 7494, 26, 36, 27, 291, 1188, 6234, 291, 6234, 32, 37329, 5457, 26, 39, 27, 291, 8210, 280, 2884, 525, 555, 23, 101, 6069, 101, 20, 904, 2145, 32, 1786, 81, 2468, 27, 474, 1519, 291, 3796, 280, 22045, 36, 32, 5068, 15100, 2681, 1972, 346, 291, 3796, 32, 669, 81, 2895, 26, 21355, 30, 3423, 30, 699, 30, 2895, 27, 291, 3089, 749, 280, 22045, 36, 32, 1832, 81 ]

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

[ 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 5, 7, 7, 7, 7, 7, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 9, 10, 9, 2, 2, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 2, 2, 4, 4, 7, 6, 7, 6, 2, 2, 3, 5, 5, 5, 6, 5, 5, 5, 5, 5, 0, 3, 2, 2, 4, 4, 4, 5, 4, 5, 4, 5, 5, 4, 0, 3, 2, 2, 4, 4, 5, 4, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 5, 1, 1, 6, 5, 6, 5, 6, 5, 6, 5, 4, 4, 5, 4, 6, 6, 6, 7, 6, 7, 6, 6, 7, 9, 9, 9, 9, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 2, 2, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 8, 7, 8, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 7, 7, 5, 5, 4, 4, 5, 5, 2, 2, 6, 5, 6, 5, 6, 5, 6, 5, 4, 4, 5, 4, 6, 6, 6, 7, 6, 7, 6, 6, 6, 8, 8, 7, 8, 6, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 3, 3, 5, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 3, 3, 5, 2, 2, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 0, 1, 1, 2, 2, 2, 1, 1, 3, 6, 6, 4, 4, 6, 8, 8, 8, 8, 8, 2, 2, 3, 6, 8, 8, 8, 8, 4, 4, 0, 1, 1, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 1, 1, 3, 5, 2, 2, 3, 4, 5, 4, 5, 5, 3, 3, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 5, 4, 6, 5, 7, 6, 5, 6, 4, 3, 3, 7, 8, 7, 8, 7, 4, 4, 5, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 6, 6, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 11, 11, 11, 8, 7, 7, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 4, 4, 7, 6, 6, 9, 8, 9, 9 ]

[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 3, 3, 0, 4, 4, 1, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 0, 6, 6, 2, 1, 2, 2, 3, 3, 2, 6, 6, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 2, 1, 2, 2, 2, 2, 2, 8, 8, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 1, 5, 5, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 11, 11, 2, 1, 2, 2, 2, 2, 5, 2, 11, 11, 1, 0, 3, 0, 5, 0, 7, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 4, 1, 2, 0, 0, 1, 1, 2, 2, 4, 4, 1, 0, 3, 0, 5, 0, 7, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 3, 1, 1, 1, 0, 0, 5, 2, 1, 4, 4, 6, 0, 2, 1, 1, 1, 1, 2, 6, 6, 0, 4, 4, 7, 0, 2, 1, 1, 1, 1, 2, 7, 7, 0, 4, 4, 8, 8, 8, 1, 1, 1, 1, 1, 2, 3, 3, 0, 12, 12, 1, 1, 2, 12, 12, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 13, 13, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 13, 13, 0, 0, 3, 3, 1, 1, 2, 1, 4, 4, 1, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 3, 1, 2, 1, 2, 3, 2, 0, 5, 2, 0, 7, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2 ]

[ 465, 2322, 203, 465, 10020, 203, 465, 18792, 203, 465, 2361, 203, 465, 11685, 203, 465, 5741, 203, 465, 1933, 203, 1070, 15798, 1188, 19205, 203, 1070, 17048, 1186, 32, 9247, 1188, 310, 639, 411, 81, 9247, 81, 3483, 619, 3340, 203, 465, 310, 639, 411, 32, 11201, 32, 16780, 619, 4527, 203, 1070, 310, 639, 411, 32, 11201, 32, 16780, 1188, 26655, 203, 1070, 17048, 1186, 32, 2304, 32, 11201, 32, 1126, 1188, 4540, 203, 1070, 17048, 1186, 32, 2304, 32, 11201, 32, 14028, 764, 1188, 2398, 14306, 203, 1070, 17048, 1186, 32, 15265, 32, 15265, 1188, 4522, 81, 26875, 1353, 203, 1070, 17048, 1186, 32, 10009, 297, 723, 1188, 489, 16127, 723, 43651, 203, 1070, 17048, 1186, 32, 2304, 32, 2304, 1188, 1491, 81, 1260, 30, 1487, 81, 314, 81, 800, 30, 2866, 81, 2024, 81, 1260, 30, 766, 284, 622, 81, 2135, 81, 23376, 81, 3038, 30, 17128, 2665, 81, 452, 81, 2665, 30, 1505, 81, 23376, 81, 979, 81, 1582, 3732, 203, 1070, 17048, 1186, 32, 2304, 32, 25712, 1188, 308, 284, 1487, 81, 278, 269, 81, 25712, 30, 284, 1487, 81, 1298, 81, 25712, 30, 284, 32105, 81, 1298, 81, 4519, 30, 284, 1487, 81, 8304, 81, 25712, 30, 284, 1487, 81, 1553, 81, 979, 81, 101, 37, 81, 1251, 30, 284, 5889, 81, 15592, 203, 27, 203, 1070, 17048, 1186, 32, 893, 81, 2304, 32, 20847, 81, 45062, 1188, 23667, 81, 45062, 203, 1070, 17048, 1186, 32, 893, 81, 2304, 32, 4597, 24081, 81, 24472, 1188, 1288, 81, 5020, 81, 9138, 518, 30, 766, 284, 27603, 265, 81, 108, 81, 5020, 81, 9138, 518, 203, 4073, 280, 5741, 32, 10579, 463, 9874, 683, 203, 823, 6287, 4198, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 540, 5178, 47, 2521, 30, 636, 47, 2521, 30, 8444, 47, 2521, 30, 13531, 81, 668, 47, 2521, 711, 291, 415, 646, 540, 5178, 44, 324, 630, 32, 100, 5178, 280, 2149, 291, 813, 44, 324, 630, 32, 100, 5178, 280, 540, 5178, 291, 415, 646, 13531, 81, 668, 44, 324, 630, 32, 7413, 81, 668, 280, 1605, 291, 813, 44, 324, 630, 32, 7413, 81, 668, 280, 13531, 81, 668, 291, 630, 32, 426, 280, 636, 291, 415, 8444, 44, 324, 630, 32, 4687, 280, 8444, 324, 630, 32, 751, 1515, 280, 8444, 32, 9247, 81, 5522, 710, 751, 81, 5660, 4902, 983, 785, 324, 630, 32, 1516, 81, 33419, 280, 8444, 32, 9247, 81, 5522, 710, 2946, 81, 1163, 8150, 400, 330, 1449, 81, 7391, 81, 462, 81, 24219, 785, 324, 630, 32, 1516, 81, 2376, 81, 7391, 280, 8444, 32, 9247, 81, 5522, 710, 2946, 81, 1163, 8150, 400, 330, 1516, 81, 2376, 81, 10459, 785, 324, 630, 32, 2376, 81, 15576, 280, 8444, 32, 15265, 81, 23829, 77, 400, 330, 18651, 81, 15265, 4902, 1298, 81, 15265, 81, 452, 81, 2387, 8150, 400, 330, 4516, 101, 81, 30162, 4902, 37654, 785, 324, 630, 32, 88, 2003, 81, 15576, 280, 8444, 32, 15265, 81, 23829, 77, 400, 330, 18651, 81, 15265, 4902, 1298, 81, 15265, 81 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 4, 4, 4, 4, 2, 2, 0, 1, 1, 4, 4, 3, 4, 3, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 7, 5, 5, 5, 9, 10, 10, 8, 8, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 10, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 5, 5, 6, 6, 6, 10, 11, 11, 11, 9, 9, 10, 10, 4, 4, 7, 8, 6, 6, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 6, 6, 9, 10, 10, 8, 8, 11, 12, 12, 12, 10, 12, 12, 12, 12, 11, 11, 6, 6, 9, 10, 10, 10, 8, 8, 11, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 10, 10, 10, 10, 8, 8, 11, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 11, 11, 6, 6, 9, 10, 10, 10, 8, 8, 13, 14, 14, 14, 12, 12, 12, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 12, 12, 12, 12, 12, 11, 11, 6, 6, 9, 10, 10, 10, 10, 8, 8, 13, 14, 14, 14, 12, 12, 12, 14, 14, 14, 14, 13, 13, 13, 13 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 3, 3, 0, 9, 9, 0, 0, 0, 2, 0, 4, 1, 1, 0, 10, 10, 0, 0, 1, 2, 1, 4, 10, 10, 0, 11, 11, 0, 1, 2, 1, 4, 1, 6, 11, 11, 0, 12, 12, 0, 1, 2, 1, 4, 1, 6, 6, 12, 12, 0, 0, 13, 13, 0, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 14, 14, 0, 1, 2, 2, 2, 14, 14, 0, 0, 0, 0, 15, 15, 0, 1, 2, 1, 4, 15, 15, 0, 0, 15, 15, 0, 0, 0, 0, 15, 15, 0, 0, 0, 0, 15, 15, 9, 15, 0, 0, 0, 0, 0, 0, 15, 15, 0, 0, 0, 0, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 1, 2, 1, 4, 16, 16, 16, 16, 0, 0, 0, 0, 0, 16, 16, 16, 0, 0, 0, 0, 16, 16, 16, 0, 0, 0, 0, 16, 16, 16, 0, 0, 0, 0, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 0, 0, 16, 16, 0, 17, 17, 0, 1, 2, 2, 2, 1, 4, 4, 4, 17, 17, 0, 0, 0, 18, 18, 0, 1, 2, 2, 2, 1, 4, 4, 4, 4, 18, 18, 0, 0, 0, 0, 0, 18, 18, 5, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 20, 20, 1, 2, 1, 2, 20, 20, 0, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 0, 9, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 4, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 4, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 3, 3, 3, 3, 0, 2, 0, 0, 3, 3, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1 ]

[ 106, 280, 739, 4901, 83, 1195, 100, 1195, 4866, 1195, 76, 3490, 203, 862, 816, 379, 470, 4901, 4866, 1195, 76, 1195, 83, 1195, 100, 3490, 203, 862, 2069, 26, 106, 19162, 38, 203, 106, 32, 669, 463, 9793, 683, 203, 862, 2069, 26, 106, 19162, 39, 203, 106, 32, 669, 463, 9793, 683, 203, 862, 2069, 26, 106, 19162, 39, 203, 862, 330, 100, 25, 328, 816, 203, 862, 330, 100, 618, 25, 646, 328, 816, 203, 107, 280, 739, 2009, 35, 30, 36, 30, 37, 1130, 203, 862, 816, 32, 297, 1285, 11941, 26, 107, 27, 203, 107, 32, 669, 463, 100, 683, 203, 862, 646, 816, 32, 297, 1285, 11941, 26, 107, 27, 203, 108, 280, 739, 4901, 83, 1195, 100, 3490, 203, 862, 1288, 32, 297, 19113, 26, 106, 27, 203, 862, 1288, 2511, 816, 203, 862, 1288, 333, 816, 203, 862, 816, 32, 2660, 1904, 470, 26, 108, 27, 203, 862, 816, 2377, 1288, 203, 862, 816, 848, 1288, 203, 862, 646, 1288, 32, 297, 19113, 26, 107, 27, 203, 862, 1288, 110, 107, 610, 5053, 83, 1195, 100, 370, 35, 30, 36, 30, 37, 111, 203, 862, 1288, 32, 13304, 26, 107, 27, 610, 5053, 83, 1195, 100, 370, 35, 30, 36, 30, 37, 111, 203, 862, 816, 24, 107, 379, 12157, 100, 6040, 203, 862, 816, 32, 11232, 26, 107, 19162, 12157, 100, 6040, 203, 862, 816, 31, 107, 379, 12157, 83, 1195, 4866, 1195, 76, 1195, 9793, 6040, 203, 862, 1288, 80, 107, 610, 5053, 83, 370, 35, 30, 36, 30, 37, 111, 203, 106, 32, 2546, 463, 9793, 683, 203, 862, 816, 379, 12157, 83, 1195, 100, 1195, 4866, 1195, 76, 6040, 203, 106, 32, 29853, 463, 1373, 18439, 683, 203, 862, 816, 379, 12157, 83, 1195, 100, 1195, 4866, 1195, 76, 6040, 203, 106, 32, 29853, 463, 83, 683, 203, 862, 816, 379, 12157, 100, 1195, 4866, 1195, 76, 6040, 203, 108, 32, 3235, 346, 203, 862, 1288, 379, 12157, 83, 6040, 203, 108, 32, 3235, 346, 203, 1270, 44, 108, 32, 3235, 346, 203, 7343, 25085, 44, 4617, 203, 106, 32, 3815, 346, 203, 862, 2069, 26, 106, 19162, 34, 203, 106, 280, 20073, 470, 4901, 83, 1195, 100, 1195, 4866, 1195, 76, 3490, 203, 862, 596, 26, 106, 547, 15990, 440, 30480, 470, 1371, 657, 203, 862, 816, 379, 470, 4901, 4866, 1195, 76, 1195, 83, 1195, 100, 3490, 203, 862, 2069, 26, 106, 19162, 38, 203, 1270, 44, 284, 816, 32, 669, 463, 9793, 683, 203, 7343, 29316, 44, 284, 3097, 203, 862, 2069, 26, 106, 19162, 38, 203, 862, 330, 100, 25, 328, 816, 203, 862, 330, 100, 618, 25, 646, 328, 816, 203, 823, 9214, 26, 470, 711, 284, 665, 2519, 26, 784, 711, 291, 442, 330, 2245, 25, 203, 106, 280, 9214, 2009, 35, 30, 36, 1130, 203, 862, 816, 32, 2245, 346, 10844, 2245, 25, 203, 1216, 440, 20058, 1169, 3312, 497, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

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

[ 3, 2, 2, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 4, 5, 4, 3, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 4, 5, 4, 3, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 4, 5, 4, 3, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 4, 4, 4, 2, 2, 2, 0, 3, 2, 2, 4, 6, 5, 6, 5, 6, 5, 0, 1, 1, 3, 4, 4, 4, 3, 4, 3, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 2, 4, 5, 5, 5, 4, 5, 4, 0, 3, 2, 2, 4, 7, 7, 7, 7, 0, 1, 1, 3, 4, 4, 3, 4, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 4, 4, 3, 4, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 4, 5, 5, 4, 5, 4, 0, 1, 1, 3, 4, 2, 2, 5, 5, 5, 5, 4, 3, 4, 3, 4, 3, 0, 1, 1, 4, 5, 4, 5, 4, 2, 2, 5, 5, 5, 5, 4, 3, 4, 3, 4, 3, 0, 1, 1, 3, 4, 2, 3, 5, 5, 0, 1, 1, 4, 5, 4, 5, 4, 3, 5, 5, 0, 1, 1, 3, 4, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 3, 4, 2, 2, 5, 5, 4, 3, 4, 3, 4, 3, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 0, 1, 1, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 0, 1, 1, 2, 3, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 0, 1, 1, 2, 3, 5, 5, 0, 4, 3, 4, 3, 0, 1, 1, 6, 5, 6, 5, 1, 2, 2, 2, 4, 0, 4, 3, 4, 3, 0, 1, 1, 4, 5, 4, 3, 0, 3, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 5, 6, 5, 4, 3, 5, 5, 5, 5, 0, 1, 1, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 4, 5, 4, 3, 0, 1, 1, 1, 1, 5, 6, 5, 7, 7, 1, 2, 2, 2, 2, 2, 0, 1, 1, 4, 5, 4, 3, 0, 1, 1, 4, 4, 2, 2, 0, 1, 1, 4, 4, 4, 2, 2, 2, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 7, 7, 0, 3, 2, 2, 4, 6, 5, 6, 5, 0, 1, 1, 4, 5, 4, 2, 4, 4, 0, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]

[ 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 4, 4, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 6, 6, 1, 1, 1, 2, 0, 7, 7, 1, 2, 1, 1, 0, 8, 8, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 3, 1, 5, 1, 0, 10, 10, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 12, 12, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 14, 14, 0, 2, 2, 1, 1, 1, 0, 15, 15, 1, 1, 0, 16, 16, 1, 1, 0, 17, 17, 0, 2, 2, 2, 1, 1, 1, 0, 18, 18, 1, 1, 0, 19, 19, 1, 1, 0, 20, 20, 1, 0, 2, 2, 1, 1, 1, 0, 21, 21, 0, 2, 1, 1, 1, 2, 1, 2, 5, 2, 7, 2, 9, 2, 0, 22, 22, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 2, 7, 2, 9, 2, 0, 23, 23, 0, 2, 1, 2, 1, 2, 0, 24, 24, 0, 2, 1, 1, 1, 2, 1, 2, 0, 25, 25, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 26, 26, 0, 2, 1, 1, 1, 2, 3, 2, 5, 2, 7, 2, 0, 0, 0, 2, 1, 1, 2, 0, 28, 28, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 30, 30, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 32, 32, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 34, 34, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 36, 36, 0, 0, 2, 1, 36, 3, 3, 3, 0, 0, 0, 0, 2, 1, 0, 38, 38, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 40, 40, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 41, 41, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 42, 42, 1, 1, 1, 2, 0, 43, 43, 43, 43, 0, 2, 1, 1, 2, 43, 3, 3, 3, 3, 3, 0, 44, 44, 1, 1, 1, 2, 0, 45, 45, 1, 2, 1, 1, 0, 46, 46, 1, 1, 2, 1, 1, 1, 0, 47, 47, 2, 1, 2, 47, 47, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 3, 1, 0, 49, 49, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 316, 203, 465, 787, 1909, 203, 1070, 13625, 1188, 41829, 203, 1070, 1344, 4071, 1188, 409, 43736, 203, 1070, 597, 2061, 91, 32, 297, 431, 332, 1003, 32, 605, 1188, 16685, 30, 3717, 1943, 30, 16600, 203, 1070, 597, 2061, 91, 32, 297, 431, 332, 1003, 32, 5937, 483, 1188, 3717, 1943, 15434, 265, 203, 1070, 597, 2061, 91, 32, 297, 431, 332, 1003, 32, 25882, 1188, 3717, 1943, 2825, 30, 16685, 2825, 203, 1070, 597, 2061, 91, 32, 297, 431, 332, 1003, 32, 11452, 1188, 3611, 431, 332, 1003, 924, 203, 1070, 7443, 9028, 32, 1867, 32, 2208, 85, 32, 11452, 1188, 308, 284, 1682, 22239, 30, 8956, 22239, 30, 8956, 1097, 924, 27, 203, 1070, 7443, 9028, 32, 1867, 32, 1113, 6789, 2095, 1188, 3725, 4206, 1222, 203, 823, 2716, 4215, 7063, 44, 284, 617, 6755, 81, 15259, 81, 62, 81, 5975, 280, 316, 32, 6993, 26, 100, 14891, 24183, 25, 1736, 6603, 18470, 25888, 12456, 25, 1736, 38131, 3730, 32147, 284, 617, 6755, 81, 20965, 81, 62, 81, 5975, 280, 316, 32, 6993, 26, 100, 7362, 24183, 20, 1736, 6603, 18470, 25888, 12456, 20, 1736, 38131, 3730, 20, 683, 284, 617, 6755, 81, 15259, 81, 5975, 280, 316, 32, 6993, 26, 100, 14891, 24183, 25, 1736, 6603, 18470, 25888, 12456, 25, 1736, 38131, 3730, 25, 18470, 78, 101, 8088, 2805, 21, 3424, 6505, 6505, 22, 657, 284, 617, 6755, 81, 20965, 81, 5975, 280, 316, 32, 6993, 26, 100, 7362, 24183, 20, 1736, 6603, 18470, 25888, 12456, 20, 1736, 38131, 3730, 20, 18470, 78, 101, 8088, 2805, 21, 3424, 6505, 6505, 22, 683, 284, 617, 6755, 81, 71, 2150, 66, 280, 316, 32, 6993, 26, 100, 2993, 4901, 1446, 49, 2502, 40708, 5421, 35, 26, 30, 39756, 27, 41135, 284, 617, 6755, 81, 15259, 72, 280, 316, 32, 6993, 26, 100, 20, 1162, 2805, 80, 12456, 785, 8088, 2805, 25, 12456, 785, 28, 683, 28, 12456, 785, 3730, 16886, 21, 3424, 9501, 657, 284, 617, 6755, 81, 20965, 72, 280, 316, 32, 6993, 463, 1162, 2805, 80, 12456, 1446, 8088, 49, 1924, 12456, 1446, 28, 657, 28, 12456, 1446, 3730, 16886, 21, 3424, 9501, 683, 284, 617, 6755, 81, 18174, 81, 4780, 81, 20799, 280, 316, 32, 6993, 26, 291, 540, 7646, 51, 9592, 29548, 10228, 9592, 78, 101, 8088, 2805, 21, 3424, 6505, 78, 76, 392, 316, 32, 24924, 1466, 3123, 523, 316, 32, 6737, 2320, 27, 284, 617, 6755, 81, 18174, 81, 4780, 81, 15781, 280, 316, 32, 6993, 26, 291, 540, 10255, 51, 2993, 29548, 10228, 2993, 78, 101, 8088, 2805, 21, 3424, 6505, 78, 76, 370, 316, 32, 24924, 1466, 3123, 523, 316, 32, 6737, 2320, 27, 284, 617, 6755, 81, 1844, 81, 13412, 280, 316, 32, 6993, 26, 291, 540, 10255, 51, 2009, 29, 11466, 79, 21194, 86, 40935, 101, 18899, 5327, 5327, 101, 28, 2009, 29, 11466, 79, 21194, 86, 29, 2502, 48813, 101, 18899, 5327, 5327, 101, 28, 4987, 86, 29, 490, 21194, 76, 683, 284, 617, 6755, 81, 18174, 81, 7597, 280, 316, 32, 6993, 26, 100, 20879, 13644, 105 ]

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

[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 7, 7, 8, 9, 9, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 7, 7, 8, 9, 9, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8 ]

[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 4, 4, 4, 0, 4, 4, 0, 5, 5, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 2, 2, 2, 1, 4, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 2, 2, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 4, 1, 6, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 9, 9, 0, 1, 2, 1, 4, 4, 4, 9, 9, 0, 0, 0, 10, 10, 1, 1, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 3, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 3, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1 ]

[ 1070, 9195, 1188, 1695, 203, 1070, 5296, 1188, 706, 30, 3851, 203, 465, 22977, 203, 465, 2322, 203, 465, 5237, 203, 465, 13539, 761, 203, 1070, 6382, 1188, 5675, 203, 1070, 22045, 32, 1357, 1188, 1984, 19042, 203, 1070, 281, 2765, 32, 1262, 32, 4627, 1188, 390, 2765, 1761, 1917, 30, 21955, 203, 823, 6741, 1917, 26, 53, 2765, 1761, 1917, 711, 284, 443, 11985, 44, 291, 2266, 280, 330, 3789, 25, 291, 4138, 318, 81, 267, 280, 330, 1439, 25, 284, 477, 41856, 26, 4756, 1057, 7203, 101, 6440, 645, 600, 1995, 1658, 32, 7070, 803, 11834, 284, 665, 2443, 26, 784, 711, 291, 706, 81, 2067, 280, 706, 32, 750, 346, 291, 1968, 81, 983, 280, 706, 81, 2067, 32, 371, 81, 1832, 81, 983, 346, 291, 6382, 280, 5675, 346, 291, 415, 646, 2322, 32, 983, 32, 4658, 26, 1832, 81, 983, 711, 324, 1459, 440, 16608, 1968, 3362, 657, 324, 2322, 32, 10174, 26, 1832, 81, 983, 27, 291, 3851, 81, 426, 280, 706, 81, 2067, 32, 371, 81, 983, 81, 2888, 346, 291, 3851, 81, 2067, 280, 3851, 32, 2879, 26, 2630, 81, 426, 27, 291, 1459, 440, 33829, 1123, 6440, 21850, 291, 21022, 280, 3330, 291, 436, 9143, 328, 706, 81, 2067, 32, 371, 81, 11176, 2262, 324, 21022, 280, 21022, 474, 313, 313, 474, 9143, 291, 436, 1628, 328, 3851, 81, 2067, 32, 4526, 463, 3925, 429, 4918, 517, 2868, 33, 286, 3883, 962, 13947, 517, 2868, 33, 286, 3883, 962, 9098, 517, 2868, 33, 286, 3883, 962, 9702, 31, 371, 5822, 330, 474, 21022, 711, 324, 1459, 26, 928, 30, 943, 38913, 291, 1459, 463, 685, 12447, 299, 6440, 30865, 291, 436, 1628, 328, 3851, 81, 2067, 32, 4526, 463, 3246, 429, 35, 517, 2868, 33, 286, 3883, 523, 2218, 1491, 1628, 2082, 745, 343, 4652, 31, 9508, 429, 68, 517, 2868, 33, 286, 3883, 9764, 928, 517, 18580, 33, 725, 449, 1209, 33, 1832, 2082, 3390, 7831, 324, 1459, 26, 928, 27, 291, 1459, 463, 1063, 4093, 4227, 30865, 291, 3851, 81, 2067, 32, 4526, 463, 43231, 429, 68, 330, 474, 596, 26, 500, 32, 371, 1890, 1157, 474, 25487, 474, 596, 26, 500, 32, 371, 15946, 1157, 474, 330, 517, 18580, 33, 725, 449, 1209, 33, 1832, 683, 291, 22977, 32, 100, 41718, 463, 1832, 33, 852, 10030, 927, 683, 291, 1459, 463, 25533, 5440, 803, 30865, 291, 706, 81, 2067, 32, 1821, 81, 809, 81, 761, 346, 291, 1459, 440, 7371, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 3, 3, 3, 6, 6, 8, 8, 4, 4, 7, 7, 7, 6, 6, 8, 8, 2, 2, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 10, 9, 5, 5, 8, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 5, 5, 7, 7, 9, 5, 5, 6, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 6, 6, 10, 12, 12, 12, 12, 7, 7, 10, 11, 10, 11, 11, 11, 10, 5, 5, 8, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 5, 5, 8, 8, 7, 7, 9, 10, 9, 10, 10, 10, 9, 5, 5, 8, 10, 10, 10, 10, 5, 5, 7, 7, 5, 5, 6, 6, 6, 9, 9, 8, 9, 9, 9, 8, 6, 6, 9, 9, 11, 11, 13, 10, 10, 5, 5, 6, 6, 6, 9, 9, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 8, 6, 6, 10, 11, 10, 10, 11, 5, 5, 8, 10, 10, 10, 10, 10, 5, 5, 6, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 10, 11, 10, 5, 5, 8, 10, 10, 10, 10, 5, 5, 9, 9, 8, 9, 8, 14, 14, 14, 14, 12, 12, 14, 17, 16, 17, 17, 16, 11, 11, 10, 10, 12, 15, 14, 15, 15, 14, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 5, 5, 8, 10, 10, 10, 10, 5, 5, 9, 9, 8, 9, 9, 9, 9, 9, 8, 5, 5, 8, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 8, 8, 0, 9, 9, 1, 2, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 1, 4, 4, 3, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 8, 8, 8, 0, 0, 0, 2, 2, 2, 1, 8, 8, 0, 0, 0, 0, 1, 2, 2, 4, 4, 9, 9, 9, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 1, 1, 3, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 11, 11, 11, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 11, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 323, 1253, 81, 1506, 107, 32, 1637, 81, 1473, 1188, 6012, 959, 203, 823, 13392, 1777, 74, 2227, 4672, 26, 1969, 959, 711, 284, 1984, 280, 1665, 284, 551, 48310, 81, 4620, 758, 280, 5608, 106, 1521, 31, 8397, 81, 1071, 4451, 25, 284, 665, 1156, 1664, 3207, 784, 30, 5427, 30, 31170, 711, 291, 2599, 26, 5876, 1777, 74, 2227, 4672, 30, 630, 14585, 1664, 3207, 7128, 27, 291, 630, 32, 25102, 280, 31170, 284, 665, 438, 81, 7128, 81, 267, 81, 1637, 26, 784, 711, 291, 442, 630, 32, 99, 26, 2079, 1057, 2537, 77, 605, 31, 314, 347, 2537, 1446, 2473, 1643, 26, 784, 32, 16938, 81, 4620, 758, 30, 630, 32, 25102, 3427, 2689, 284, 665, 617, 28959, 81, 9003, 26, 784, 30, 9182, 711, 291, 442, 1044, 25, 2537, 77, 605, 31, 314, 347, 2537, 1446, 19553, 1643, 26, 324, 630, 32, 16938, 81, 4620, 758, 30, 324, 630, 32, 25102, 30, 324, 9182, 291, 829, 284, 477, 2433, 284, 665, 5713, 81, 8078, 26, 784, 711, 291, 2838, 81, 8587, 280, 630, 32, 99, 26, 2079, 47, 784, 1114, 28959, 81, 9003, 440, 507, 77, 605, 31, 314, 79, 2131, 291, 442, 20073, 470, 26, 2661, 32, 878, 436, 2838, 328, 2838, 81, 8587, 27, 284, 477, 2433, 284, 665, 5713, 81, 5078, 26, 784, 711, 291, 2838, 81, 8587, 81, 5078, 280, 630, 32, 99, 26, 2079, 47, 784, 1114, 28959, 81, 9003, 440, 507, 77, 605, 31, 314, 79, 638, 14211, 31, 2111, 2131, 291, 442, 20073, 470, 26, 2661, 32, 878, 436, 2838, 328, 2838, 81, 8587, 81, 5078, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 8, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 13, 12, 13, 13, 13, 13, 11, 11, 12, 13, 11, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 8, 9, 9, 9, 9, 7, 7, 7, 8, 9, 7, 7, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 10, 9, 11, 10, 13, 12, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 14, 5, 5, 6, 8, 8, 10, 9, 10, 8, 9, 9, 9, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 7, 7, 9, 10, 9, 11, 10, 13, 12, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 5, 5, 6, 8, 8, 10, 9, 10, 8, 9, 9, 9, 10, 10, 10, 10, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 1, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 4, 4, 1, 5, 5, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 3, 3, 1, 4, 4, 1, 6, 6, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 5237, 203, 465, 2322, 203, 465, 6436, 619, 2065, 203, 465, 6677, 36, 203, 589, 6122, 81, 8270, 26, 893, 711, 334, 5881, 7334, 322, 1760, 1778, 1991, 2819, 3346, 30, 9733, 461, 10087, 11022, 32, 334, 1778, 429, 312, 6436, 1417, 432, 6024, 308, 2138, 30, 6090, 30, 225, 37, 547, 334, 1688, 429, 8019, 6436, 12051, 432, 6024, 308, 2138, 30, 6090, 27, 461, 9710, 2432, 619, 2607, 1778, 30, 6621, 322, 8435, 11022, 32, 5235, 5294, 1930, 3654, 322, 1688, 6024, 1401, 1755, 225, 36, 6339, 19, 334, 2616, 1980, 30, 308, 40, 34, 34, 30, 225, 42, 34, 34, 27, 4174, 432, 308, 40, 34, 34, 30, 225, 42, 34, 34, 30, 225, 35, 27, 334, 5881, 334, 3346, 280, 1665, 334, 9733, 280, 1665, 334, 10087, 280, 1665, 334, 10087, 280, 1778, 45434, 34, 79, 334, 9733, 280, 1778, 45434, 35, 79, 334, 3346, 280, 1778, 45434, 36, 79, 334, 442, 3346, 30, 9733, 30, 10087, 203, 589, 2575, 2262, 334, 5881, 1348, 667, 16642, 1370, 6122, 3261, 372, 5703, 32, 334, 2030, 1098, 3233, 3919, 322, 5703, 33, 2050, 34, 1361, 6175, 30, 461, 4871, 1370, 38431, 5235, 667, 372, 2504, 1591, 32, 2030, 1098, 1615, 4131, 322, 14302, 5703, 32, 334, 5881, 334, 5703, 6175, 34, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 1537, 1515, 30, 330, 2242, 370, 330, 2050, 34, 2847, 334, 1459, 5881, 47648, 436, 5703, 328, 2149, 4844, 334, 308, 11104, 5079, 3346, 30, 9733, 30, 556, 10087, 328, 322, 636, 27, 2699, 2473, 1643, 26, 2242, 6175, 34, 27, 334, 1447, 101, 280, 2107, 32, 25108, 370, 5608, 4365, 95, 370, 5608, 2323, 95, 370, 5608, 593, 95, 370, 5608, 6858, 370, 5608, 12792, 370, 5608, 10561, 370, 5608, 3072, 370, 3701, 5608, 92, 348, 370, 5608, 11554, 36, 370, 5608, 37002, 370, 5608, 28102, 370, 5608, 1645, 785, 334, 436, 24797, 30, 4921, 4243, 30, 26719, 328, 2322, 32, 11905, 26, 2242, 6175, 34, 711, 284, 436, 4870, 328, 26719, 44, 397, 636, 30, 1447, 280, 2322, 32, 983, 32, 48271, 26, 3607, 27, 397, 415, 1447, 328, 1447, 101, 461, 330, 1092, 25, 646, 328, 636, 461, 330, 6555, 25, 646, 328, 636, 461, 766, 291, 330, 5466, 25, 646, 328, 636, 44, 291, 1459, 313, 7334, 1054, 1778, 2149, 35145, 1643, 26, 3607, 27, 291, 4791, 280, 6677, 36, 32, 40375, 26, 500, 32, 983, 32, 2524, 26, 7781, 30, 4870, 490, 291, 3346, 30, 9733, 30, 10087, 280, 6122, 81, 8270, 26, 1275, 27, 291, 436, 2078, 30, 1963, 30, 3826, 328, 8529, 1162, 1092, 30, 9733, 30, 10087, 471, 4288, 2726, 1092, 370, 330, 6555, 370, 330, 5466, 1425, 308, 36, 30, 35, 30, 34, 8531, 616, 4791, 280, 2065, 32, 9880, 1162, 2810, 32, 3229, 77, 34, 614, 2078, 32, 3229, 77, 35, 614, 225, 37, 471, 19071, 9710, 280, 2078, 32, 12010, 27, 13499, 4791, 45434, 3237, 79, 280, 2078, 616, 1459, 313, 25533, 1778, 2149, 35145, 1643, 26, 426, 29, 1489, 29, 407 ]

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

[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 5, 6, 5, 2, 2, 4, 4, 5, 6, 5, 2, 2, 4, 4, 5, 6, 5, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 10, 9, 10, 10, 8, 8, 10, 10, 8, 10, 10, 10, 2, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 6, 6, 6, 5, 2, 2, 5, 4, 4, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 3, 3, 5, 6, 5, 6, 6, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 6, 6, 7, 11, 11, 12, 10, 10, 13, 13, 11, 11, 11, 9, 9, 12, 12, 10, 10, 10, 8, 8, 8, 8, 11, 11, 9, 9, 9, 7, 7, 7, 9, 13, 13, 13, 13, 13, 12, 11, 12, 11, 8, 8, 10, 10, 13, 12, 13, 12, 16, 15, 16, 14, 15, 14, 15, 14, 14, 14, 8, 8, 11, 11, 11, 11, 10, 10, 12, 12, 12, 13, 12, 8, 8, 9, 10, 10, 10, 10, 9, 9, 11, 13, 12, 12, 12, 12, 12, 11, 11, 14, 14, 12, 14, 14, 12, 14, 14, 11, 13, 12, 13, 12, 13, 12, 9, 9, 12, 12, 14, 15, 14, 18, 17, 18, 16, 17, 16, 15, 17, 18, 16, 17, 16, 15, 16, 15, 14, 14, 15, 15, 16, 17, 14, 10, 10, 13, 14, 13, 12, 12, 10, 10, 11, 15, 15, 15, 15, 14, 13, 16, 15, 16, 14, 15 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 2, 6, 2, 4, 4, 0, 0, 2, 6, 2, 4, 4, 0, 0, 2, 6, 2, 4, 4, 7, 1, 1, 1, 1, 0, 5, 5, 2, 5, 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, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 4, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 5, 5, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 5, 3, 5, 5, 5, 3, 3, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 3, 2, 3, 1, 5, 1, 1, 1, 3, 3, 2, 2, 1, 5, 5, 0, 6, 0, 0, 0, 5, 5, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2 ]

[ 1070, 19486, 32, 1711, 1208, 1188, 5245, 1208, 30, 16901, 444, 1711, 1208, 30, 5104, 1711, 1208, 203, 1070, 19486, 32, 20914, 583, 8247, 1188, 10926, 583, 8247, 4018, 30, 2290, 11884, 1943, 203, 1070, 19486, 32, 1612, 1188, 4237, 203, 1070, 19486, 32, 2168, 1188, 9286, 203, 1070, 19486, 32, 14968, 720, 1188, 399, 34437, 81, 19814, 69, 30, 32761, 3989, 81, 19814, 69, 30, 475, 19590, 81, 19814, 69, 203, 1070, 19486, 32, 4152, 1722, 1188, 10252, 203, 1070, 19486, 32, 1183, 1151, 12147, 1188, 4851, 1151, 12147, 203, 1070, 19486, 32, 14813, 32, 4709, 1188, 5069, 203, 1070, 19486, 32, 1163, 1188, 1359, 30, 1359, 761, 30, 3383, 4709, 30, 3383, 11396, 203, 1070, 19486, 32, 1598, 1120, 1188, 1171, 1120, 203, 1070, 19486, 32, 6772, 1063, 1188, 16312, 22183, 3157, 1215, 30, 1244, 14968, 1215, 30, 16312, 6421, 1215, 30, 3383, 5374, 203, 1070, 19486, 32, 44061, 1188, 46157, 44061, 30, 10473, 44061, 203, 1070, 19486, 32, 14813, 32, 5972, 1031, 1188, 14360, 1031, 203, 1070, 19486, 32, 5600, 2168, 1188, 19182, 2168, 203, 1070, 34430, 32, 4152, 1188, 11028, 4327, 203, 1070, 19486, 32, 1043, 5494, 1188, 12437, 2900, 1043, 5494, 203, 1070, 358, 1220, 1229, 32, 4615, 1188, 14215, 203, 1070, 358, 1220, 1229, 1188, 14215, 41918, 203, 1070, 358, 1220, 1229, 32, 3525, 5374, 1188, 11026, 5374, 30, 18426, 66, 76, 368, 5374, 30, 551, 644, 21719, 4439, 30, 516, 2323, 52, 644, 21719, 4439, 203, 1070, 358, 1220, 1229, 32, 13860, 1705, 1188, 37438, 1705, 203, 1070, 358, 1220, 1229, 32, 54, 1708, 1188, 475, 1708, 203, 1070, 358, 1220, 1229, 32, 1151, 1074, 1188, 3903, 1074, 7414, 57, 1908, 30, 3903, 1074, 5291, 203, 1070, 358, 1220, 1229, 32, 55, 2323, 5374, 1188, 516, 7649, 5374, 203, 1070, 358, 1220, 1229, 32, 1612, 1705, 1188, 4237, 1705, 203, 1070, 358, 1220, 1229, 32, 22957, 1188, 18513, 203, 1070, 358, 1220, 1229, 32, 20186, 1612, 1188, 7507, 1142, 1612, 203, 1070, 358, 1220, 1229, 32, 6421, 5374, 1188, 16332, 5374, 203, 1070, 358, 1220, 1229, 32, 13554, 383, 13554, 1188, 35355, 383, 13554, 203, 1070, 358, 1220, 1229, 32, 66, 9268, 1078, 1188, 447, 9268, 1078, 30, 3717, 5494, 1078, 203, 1070, 358, 1220, 1229, 32, 31806, 3933, 1188, 3725, 1311, 3933, 203, 1070, 358, 1220, 1229, 32, 33349, 3933, 1188, 559, 3210, 1120, 3933, 30, 559, 350, 26063, 203, 1070, 358, 1220, 1229, 32, 1043, 1547, 1612, 1188, 3717, 1547, 1612, 203, 1070, 358, 1220, 1229, 32, 6421, 3579, 1188, 16332, 3579, 720, 203, 1070, 358, 1220, 1229, 32, 30909, 953, 1188, 44716, 953, 203, 1070, 4851, 3564, 1188, 4851, 3564, 30, 438, 5195, 444, 1562, 4293, 203, 1070, 9803, 6421, 1188, 9803, 6421, 2711, 30, 3185, 1151, 30, 48048, 8055, 30, 2290, 11691, 3157, 1215, 203, 1070, 358, 1220, 1229, 32, 6421, 2711, 1188, 16332, 2711, 619, 16332, 2711, 203, 1070, 15635, 1188, 41909, 203, 1070, 15635, 32, 26084, 1188, 1519, 7530, 30, 803, 7530, 203, 1070, 15635, 32, 953, 17397, 1188, 39818, 3234, 203, 1070, 931, 30624, 1188, 484, 6421, 30 ]

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

[ 1, 1, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 4, 2, 2, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 1 ]

[ 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 2, 5, 5, 0, 6, 6, 1, 2, 2, 2, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 1, 2, 2, 9, 9, 0, 0, 10, 10, 1, 2, 2, 10, 10, 0, 0, 0, 10, 10, 0, 0, 10, 10, 0, 0, 10, 10, 0, 0, 11, 11, 1, 2, 11, 11, 0, 11, 11, 0, 0, 12, 12, 1, 2, 1, 4, 4, 12, 12, 0, 0, 13, 13, 1, 2, 2, 13, 13, 0, 0, 14, 14, 1, 2, 14, 14, 0, 0, 15, 15, 1, 2, 2, 15, 15, 0, 0, 0, 0, 16, 16, 0, 0, 1, 2, 16, 16, 0, 17, 17, 0, 0, 17, 17, 0, 0, 18, 18, 0, 0, 1, 2, 2, 18, 18, 0, 18, 18, 0, 0, 0, 0, 18, 18, 0, 0, 0, 18, 18, 0, 0, 0, 0, 0, 0, 19, 19, 0, 0, 1, 2, 2, 19, 19, 0, 0, 20, 20, 0, 0, 1, 2, 2, 20, 20, 0, 0, 21, 21, 0, 0, 1, 2, 2, 21, 21, 0, 0, 0, 0, 21, 21, 0, 0, 0, 22, 22, 0, 0, 1, 2, 2, 2, 22, 22, 0, 0, 0, 23, 23, 0, 0, 1, 2, 2, 23, 23, 0, 0, 24, 24, 0, 0, 1, 2, 24, 24, 0, 25, 25, 0, 0, 1, 2, 2, 25, 25, 0, 0, 0, 26, 26, 0, 0, 1, 2, 2, 26, 26, 0, 0, 27, 27, 0, 0, 1, 2, 2, 2, 27, 27, 0, 0, 0, 28, 28, 0, 0, 1, 2, 2, 2, 28, 28, 0, 0, 28, 28, 0, 0, 0, 29, 29, 0, 0, 1, 2, 2, 29, 29, 0, 0, 0, 30, 30, 0, 0, 1, 2, 2, 30, 30, 0, 0, 0, 30, 30, 0, 0, 0, 31, 31, 0, 0, 1, 2, 2, 2, 31, 31, 0, 0, 0, 32, 32, 0, 0, 1, 2, 2, 32, 32, 0, 0, 0, 33, 33, 0, 0, 1, 2, 2, 33, 33, 0, 0, 34, 34, 0, 34, 34, 0, 34, 34, 0, 0, 0, 0, 0, 35, 35, 0, 35, 35, 0, 0, 35, 35, 0, 35, 35, 0, 35, 35, 0, 0, 0, 0, 36, 36, 0, 0, 1, 2, 2, 36, 36, 0, 3, 3, 2, 0, 37, 37, 37, 37, 0, 38, 38, 1, 2, 38, 38, 0, 38, 38, 0, 0, 39, 39, 1, 2, 2, 39, 39, 0, 0, 40, 40, 0, 40, 40, 0, 40 ]

[ 465, 2322, 203, 465, 5237, 203, 1070, 1673, 2304, 1188, 16611, 203, 823, 20209, 984, 26, 984, 711, 284, 3097, 203, 589, 4450, 81, 1805, 26, 1855, 30, 1688, 81, 1515, 30, 4511, 623, 81, 2796, 1057, 2958, 370, 12809, 40547, 4365, 36, 32, 978, 370, 3973, 81, 7003, 47, 2521, 711, 284, 3642, 85, 280, 16611, 32, 1809, 81, 21823, 440, 12415, 657, 284, 415, 3642, 85, 438, 1665, 44, 291, 3636, 20209, 984, 26, 324, 313, 12415, 646, 2431, 32, 6400, 3654, 688, 561, 438, 328, 322, 1519, 7144, 284, 1688, 280, 2322, 32, 983, 32, 2524, 26, 324, 1688, 81, 1515, 30, 324, 2322, 32, 983, 32, 15705, 26, 1855, 32, 3227, 5791, 1805, 392, 12809, 2610, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 1855, 711, 291, 3636, 20209, 984, 440, 4445, 1330, 2290, 2129, 803, 44, 313, 474, 1914, 27, 284, 415, 308, 500, 32, 983, 32, 4658, 26, 2024, 27, 461, 291, 2322, 32, 983, 32, 371, 29290, 26, 1855, 27, 2511, 2322, 32, 983, 32, 371, 29290, 26, 2024, 8531, 291, 1459, 313, 6533, 3642, 904, 101, 438, 973, 31, 452, 31, 770, 3107, 904, 1688, 291, 442, 284, 1459, 313, 33193, 904, 101, 20, 904, 1688, 284, 3642, 85, 81, 2501, 280, 3642, 85, 474, 330, 429, 59, 5461, 101, 20, 769, 23, 101, 81, 541, 28664, 101, 20, 5461, 101, 14891, 904, 308, 324, 2322, 32, 983, 32, 7781, 26, 1855, 471, 623, 81, 2796, 30, 1688, 81, 1515, 30, 1914, 27, 284, 415, 3973, 81, 7003, 44, 291, 415, 2322, 32, 983, 32, 4658, 26, 2796, 81, 7003, 711, 324, 3642, 85, 81, 2501, 1454, 330, 769, 2796, 47, 12415, 31, 2518, 9299, 101, 6132, 101, 25, 904, 308, 1793, 81, 2796, 30, 34670, 3973, 81, 7003, 27, 291, 813, 44, 324, 1459, 2884, 4152, 646, 2431, 821, 6611, 101, 2473, 2688, 884, 6783, 372, 1420, 3642, 85, 313, 4511, 313, 1813, 3073, 30, 461, 19368, 561, 1098, 526, 5300, 372, 2290, 561, 328, 2819, 313, 4511, 313, 1903, 1519, 3107, 904, 3973, 81, 7003, 27, 284, 415, 2322, 32, 2946, 26, 12415, 81, 2501, 27, 863, 225, 34, 44, 291, 3636, 20209, 984, 26, 324, 313, 924, 12330, 2218, 3974, 3642, 85, 7144, 284, 813, 44, 291, 1459, 313, 6533, 1914, 7504, 3107, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 4, 4, 3, 5, 5, 2, 3, 5, 5, 5, 5, 5, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 2, 2, 3, 5, 4, 4, 3, 3, 3, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 7, 8, 6, 7, 6, 6, 6, 7, 7, 6, 6, 6, 9, 10, 8, 9, 8, 11, 10, 11, 10, 12, 12, 10, 10, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 6, 3, 3, 5, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 2, 2, 3, 9, 8, 9, 7, 8, 7, 8, 7, 5, 5, 5, 9, 10, 8, 9, 9, 8, 9, 8, 6, 6, 9, 10, 8, 9, 9, 8, 9, 8, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 2, 2, 3, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 5, 4, 4, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 10, 11, 9, 10, 9, 10, 9, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 2, 2, 3, 4, 4, 3, 3, 3, 5, 8, 9, 7, 8, 7, 8, 8, 8, 7, 5, 5, 9, 9, 9, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 10, 10, 10, 11, 11, 10, 5, 5, 6, 6, 6, 9, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 11, 11, 12, 12, 10, 2, 2, 3, 6, 7, 6, 7, 7, 7, 6, 4, 4, 5, 3, 3, 3, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 4, 4, 6, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 5, 1, 2, 2, 7, 1, 1, 1, 1, 2, 2, 0, 0, 9, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 3, 1, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 4, 4, 7, 1, 1, 7, 7, 7, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 3, 3, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 8, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 8, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 4, 4, 4, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 3878, 81, 3106, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 3995, 81, 7389, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 3219, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 2677, 81, 3473, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 4156, 32, 27861, 1188, 34663, 203, 1070, 14785, 32, 2958, 32, 4156, 32, 27861, 1188, 4527, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 10705, 1188, 34182, 619, 34182, 81, 1356, 203, 823, 35853, 24443, 16635, 1006, 26, 858, 32, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 630, 1114, 20283, 280, 8082, 81, 520, 32, 8662, 2009, 38, 30, 225, 42, 30, 225, 35, 36, 30, 225, 42, 30, 225, 35, 30, 225, 37, 614, 6024, 4310, 36, 30, 225, 37, 490, 284, 630, 1114, 5919, 280, 8082, 81, 520, 32, 8662, 2009, 35, 30, 225, 43, 30, 225, 36, 30, 429, 39, 30, 429, 36, 30, 225, 40, 614, 6024, 4310, 36, 30, 225, 37, 490, 334, 665, 894, 22239, 27373, 5786, 7583, 1622, 2521, 26, 784, 711, 284, 623, 630, 32, 858, 81, 2848, 2262, 397, 623, 630, 32, 23895, 26, 22239, 711, 291, 34663, 32, 11148, 81, 21034, 26, 324, 630, 1114, 20283, 30, 630, 1114, 20283, 30, 11229, 47, 2521, 27, 334, 665, 894, 1934, 14879, 2023, 16635, 7583, 26, 784, 711, 284, 7699, 280, 34663, 32, 11148, 81, 21034, 26, 784, 1114, 20283, 30, 630, 1114, 20283, 27, 284, 623, 630, 32, 858, 81, 2848, 2262, 397, 630, 32, 47628, 26, 34, 32, 34, 30, 7699, 32, 6569, 1026, 225, 37, 27, 334, 665, 894, 3910, 8039, 16635, 26, 784, 711, 284, 7699, 280, 34663, 32, 11148, 81, 21034, 26, 784, 1114, 5919, 30, 630, 1114, 20283, 27, 284, 623, 630, 32, 858, 81, 2848, 2262, 397, 630, 32, 47628, 26, 39, 32, 39, 30, 7699, 32, 6569, 1026, 225, 37, 27, 334, 665, 894, 3910, 8039, 16635, 1554, 8312, 10651, 7583, 26, 784, 711, 284, 11229, 280, 225, 36, 32, 37, 284, 7699, 280, 34663, 32, 11148, 81, 21034, 26, 784, 1114, 5919, 30, 630, 1114, 20283, 30, 11229, 27, 284, 623, 630, 32, 858, 81, 2848, 2262, 397, 630, 32, 47628, 26, 39, 32, 39, 319, 11229, 30, 7699, 32, 6569, 1026, 225, 37, 27, 334, 665, 894, 3910, 8039, 16635, 1554, 10651, 7929, 7583, 26, 784, 711, 284, 11229, 280, 225, 36, 32, 37, 284, 7699, 280, 34663, 32, 11148, 81, 21034, 26, 784, 1114 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 9, 8, 9, 8, 10, 9, 9, 10, 9, 9, 10, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 8, 9, 11, 10, 10, 11, 10, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 8, 10, 9, 9, 10, 9, 9, 10, 9, 9, 11, 9, 9, 11, 9, 9, 10, 9, 8, 9, 11, 10, 10, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 10, 10, 9, 5, 5, 7, 11, 12, 11, 12, 11, 7, 7, 11, 12, 12, 12, 11, 11, 11, 12, 13, 11, 11, 12, 13, 11, 11, 12, 13, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 9, 10, 10, 10, 9, 5, 5, 9, 10, 9, 10, 10, 10, 9, 9, 11, 12, 11, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 9, 10, 10, 10, 9, 5, 5, 9, 10, 9, 10, 10, 10, 9, 9, 11, 12, 11, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 8, 8, 4, 4, 5, 9, 10, 10, 10, 9, 5, 5, 9, 10, 9, 11, 11, 11, 10, 10, 9, 9, 11, 12, 11, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 14, 14, 1, 2, 1, 4, 1, 6, 14, 14, 0, 15, 15, 1, 2, 1, 4, 1, 6, 15, 15, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 17, 17, 1, 2, 1, 4, 17, 17, 3, 3, 2, 2, 0, 18, 18, 1, 1, 1, 2, 0, 1, 2, 2, 18, 18, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 3, 1, 2, 2, 3, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 1, 3, 1, 2, 2, 3, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 5, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 5, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 5, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1 ]

[ 465, 10776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]

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

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

[ 1070, 816, 1521, 32, 1262, 1188, 1593, 2227, 1465, 805, 30, 1593, 2227, 203, 1070, 816, 1521, 32, 9854, 1188, 18687, 203, 1070, 816, 1521, 32, 4151, 1188, 22148, 30, 14580, 203, 1070, 816, 1647, 32, 106, 81, 1647, 1188, 3849, 3791, 1438, 81, 11483, 203, 1070, 816, 1647, 32, 3625, 83, 81, 1647, 1188, 16674, 83, 2459, 203, 1070, 20717, 1188, 20642, 3103, 2281, 30, 5547, 2433, 203, 1070, 35865, 12620, 97, 32, 36287, 1188, 2908, 81, 452, 81, 800, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 996, 23239, 1188, 5170, 203, 1070, 13625, 1188, 33953, 203, 81, 280, 9254, 1344, 44, 1344, 203, 823, 7400, 2633, 26, 1473, 711, 284, 1156, 2559, 32095, 505, 280, 20642, 3103, 2281, 284, 477, 9436, 2433, 284, 665, 1202, 26, 784, 711, 291, 3636, 22210, 463, 1721, 4820, 2298, 2054, 1202, 683, 284, 477, 9436, 2433, 284, 665, 636, 26, 784, 711, 291, 3636, 22210, 463, 1721, 4820, 2298, 2054, 636, 683, 284, 477, 9436, 2433, 284, 665, 6660, 81, 2810, 26, 784, 711, 291, 3636, 22210, 463, 1721, 4820, 2298, 2054, 6660, 81, 2810, 683, 203, 823, 21878, 19773, 2633, 26, 5584, 2633, 711, 284, 477, 2433, 284, 665, 1202, 26, 784, 711, 291, 442, 330, 37892, 81, 2142, 25, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 442, 30121, 31009, 683, 284, 477, 2433, 284, 665, 6660, 81, 2810, 26, 784, 711, 291, 442, 33953, 2009, 463, 15215, 370, 330, 21321, 1425, 2726, 9979, 370, 330, 15900, 1425, 2726, 10060, 370, 330, 15016, 45325, 203, 823, 10791, 4033, 6751, 1465, 805, 26, 74, 2227, 1465, 805, 711, 284, 7511, 81, 3963, 280, 14580, 26, 4756, 11645, 440, 7870, 623, 322, 3304, 5911, 2113, 2855, 4576, 47, 5504, 32, 1286, 30, 2855, 1244, 34444, 27, 284, 3304, 81, 3963, 280, 428, 31009, 2633, 7662, 284, 665, 617, 371, 81, 13080, 81, 3142, 81, 965, 26, 784, 30, 6491, 81, 965, 711, 291, 442, 4070, 32, 14673, 81, 2413, 474, 6491, 81, 965, 284, 477, 74, 2227, 1465, 805, 32, 15966, 81, 979, 26, 635, 3791, 1438, 81, 11483, 27, 284, 665, 9525, 81, 1071, 81, 15966, 26, 784, 30, 2163, 30, 1619, 711, 16189, 415, 6937, 26, 1521, 30, 16674, 83, 2459, 711, 324, 5911, 280, 1605, 324, 436, 2604, 328, 630, 32, 7230, 81, 3963, 44, 400, 5911, 32, 1689, 1371, 528, 330, 678, 950, 2604, 32, 678, 30, 528, 330, 1311, 950, 2604, 32, 426, 30, 528, 330, 2810, 950, 2604, 32, 11327, 81, 2810, 30, 528, 330, 1700, 81, 853, 950, 630, 32, 9031, 81, 3963, 32, 371, 26, 2142, 32, 678, 30, 1665, 471, 400, 1790, 324, 10290, 280, 18687, 26, 3169, 81, 452, 81, 800, 463, 25120, 81, 3963, 81, 1521, 32, 916, 370, 5053, 3963, 950, 5911, 18364, 324, 10290, 32, 669, 81, 4259, 81, 965, 26, 784, 1114, 371, 81, 13080, 81, 3142, 81, 965, 3247, 754, 33, 106, 1521, 81, 302, 12804, 33, 25120, 81, 3963, 32, 754, 2847, 324, 10290, 32, 8788, 81, 754, 463, 30757, 6751, 3573, 683, 324 ]

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

[ 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 2, 2, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 2, 2, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 10, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 10, 12, 12, 10, 12, 12, 9, 12, 12, 10, 12, 12, 9, 12, 12, 10, 12, 12, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 8, 7, 9, 11, 11, 11, 11, 11, 11, 6, 6, 7, 9, 8, 9, 6, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 7, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 6, 8, 9, 8, 8, 9, 9, 8, 6, 6, 9, 9, 7, 7, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 12, 13, 12, 13, 13, 16, 16, 14, 15, 16, 13, 13, 13, 16, 16, 14, 15, 16, 13, 13, 13, 16, 16, 14, 15, 16, 16, 16, 13, 13, 13, 16, 16, 16, 16, 14, 17, 18, 18, 18, 16, 17, 16, 18, 17, 18, 16, 16, 16, 13, 13, 7, 7, 9, 9, 11, 13, 13, 13, 13, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 13, 17, 17, 15, 14, 7, 7, 10, 11, 11, 11, 11, 11, 10, 13, 12, 13, 13, 13, 13, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 7, 7, 10, 11, 11, 11, 10, 12, 12, 12, 12, 7 ]

[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 0, 8, 8, 0, 9, 9, 9, 9, 0, 0, 0, 0, 2, 2, 2, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 1, 1, 2, 12, 12, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 5, 1, 2, 0, 13, 13, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 13, 13, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 2, 2, 1, 1, 1, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 3, 3, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 7, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 3, 3, 3, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 3 ]

[ 465, 20717, 203, 1270, 44, 10065, 645, 13625, 1188, 20393, 4806, 619, 14580, 13976, 203, 7343, 29986, 44, 10065, 645, 2680, 7167, 1188, 14580, 13976, 203, 465, 11685, 203, 465, 18792, 203, 465, 30902, 203, 1070, 30902, 32, 3968, 1188, 34055, 953, 9012, 203, 1070, 30902, 32, 3968, 1188, 21371, 9012, 203, 1070, 22646, 32, 11452, 1188, 319, 203, 1070, 22646, 32, 2342, 470, 1188, 4428, 51, 81, 34, 41, 30, 4428, 51, 81, 34, 42, 203, 1070, 22646, 32, 2342, 470, 1188, 4527, 203, 1070, 22646, 32, 2342, 470, 32, 23394, 32, 18498, 1188, 308, 371, 81, 3483, 81, 18498, 30, 2270, 1420, 81, 6270, 81, 18498, 27, 203, 505, 464, 505, 280, 428, 284, 330, 1297, 81, 2592, 370, 284, 330, 3798, 81, 2592, 370, 284, 330, 17777, 81, 2592, 370, 284, 330, 13141, 81, 1274, 370, 284, 330, 13141, 81, 1055, 370, 284, 330, 1791, 470, 1599, 370, 284, 330, 1791, 470, 2137, 370, 284, 330, 1791, 470, 1284, 370, 284, 330, 1791, 27380, 11153, 370, 284, 330, 2137, 9189, 370, 203, 79, 203, 589, 1487, 81, 2592, 26, 2592, 30, 1858, 47, 2521, 30, 319, 98, 30, 1115, 4124, 711, 284, 415, 1858, 438, 646, 1665, 44, 291, 442, 1858, 32, 1297, 81, 2592, 26, 2592, 30, 319, 98, 30, 1115, 4124, 27, 284, 442, 2623, 32, 1297, 2740, 98, 30, 1115, 4124, 27, 203, 589, 6278, 81, 2592, 26, 2592, 30, 1858, 47, 2521, 30, 319, 98, 30, 1115, 4124, 711, 284, 415, 1858, 438, 646, 1665, 44, 291, 442, 1858, 32, 3798, 81, 2592, 26, 2592, 30, 319, 98, 30, 1115, 4124, 27, 284, 442, 2623, 32, 3798, 2740, 98, 30, 1115, 4124, 27, 203, 589, 16144, 81, 1274, 26, 1274, 30, 636, 30, 6863, 47, 2521, 30, 1115, 4124, 711, 284, 1858, 280, 617, 452, 81, 1274, 26, 1274, 30, 6863, 27, 284, 1858, 32, 13141, 26, 426, 30, 1115, 4124, 27, 203, 589, 16144, 81, 1055, 26, 1055, 30, 636, 30, 1858, 47, 2521, 30, 6863, 47, 2521, 30, 1115, 4124, 711, 284, 1650, 280, 617, 452, 81, 1055, 26, 1055, 30, 1858, 30, 6863, 27, 284, 1650, 32, 13141, 26, 426, 30, 1115, 4124, 27, 203, 589, 13930, 81, 2592, 2740, 98, 30, 1115, 93, 711, 284, 415, 330, 1274, 25, 646, 328, 831, 461, 6937, 26, 98, 77, 34, 614, 30902, 32, 2137, 711, 291, 831, 710, 1274, 785, 280, 298, 77, 34, 997, 1274, 284, 415, 330, 3483, 25, 646, 328, 831, 44, 291, 831, 710, 3483, 785, 280, 831, 710, 1274, 5695, 2539, 284, 415, 2069, 26, 98, 27, 2377, 225, 36, 461, 6937, 26, 98, 77, 35, 614, 30902, 32, 2137, 711, 291, 11685, 32, 8447, 26, 324, 313, 6129, 299, 312, 7723, 1300, 372, 13930, 81, 2592, 438, 12687, 3107, 324, 313, 9077, 3097, 328, 11659, 3377, 4174, 4414, 324, 41665, 685, 22359, 5711, 324, 829, 284, 6863, 280, 831, 710, 3483, 785, 284, 831, 710, 17777, 81, 4519, 20950, 1815, 284, 7715, 280, 7723, 9189, 2740, 98, 30, 1115, 93, 27, 284, 16957, 27325, 280, 622, 81 ]

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

[ 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 6, 4, 4, 5, 1, 2, 2, 2, 2, 2, 4, 6, 4, 4, 6, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 5, 6, 5, 7, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 5, 6, 5, 7, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 7, 6, 6, 6, 2, 2, 5, 6, 5, 6, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 2, 2, 5, 6, 5, 6, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 7, 7, 5, 5, 5, 4, 4, 6, 8, 7, 8, 7, 6, 7, 8, 6, 3, 3, 7, 9, 9, 6, 6, 8, 9, 8, 8, 2, 2, 3, 6, 6, 4, 4, 4, 3, 3, 3, 7, 9, 9, 6, 6, 8, 10, 10, 8, 2, 2, 3, 7, 8, 7, 5, 5, 6, 4, 4, 6, 8, 7, 8, 7, 6, 7, 8, 6, 3, 3, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 8, 8, 7, 7, 2, 2, 4, 4, 5, 7, 7, 2, 2, 5, 7, 7, 7, 7, 5, 2, 2, 4, 4, 6, 6, 8, 6, 6, 8, 6, 2, 2, 5, 4, 4, 6 ]

[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 2, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 2, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 2, 9, 9, 0, 10, 10, 1, 2, 2, 1, 4, 1, 6, 10, 10, 0, 0, 0, 0, 0, 10, 10, 10, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 12, 12, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 1, 2, 12, 12, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 1, 2, 13, 13, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 14, 14, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 1, 2, 14, 14, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 15, 15, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 1, 2, 15, 15, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 16, 16, 1, 1, 2, 1, 2, 2, 1, 2, 16, 16, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 4, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 4, 4, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0 ]

[ 465, 1133, 203, 8239, 280, 301, 284, 330, 16003, 950, 9254, 816, 44, 1133, 32, 20834, 15339, 86, 9708, 95, 9708, 75, 370, 1133, 32, 1696, 1003, 4251, 5460, 463, 23423, 35, 683, 203, 111, 203, 589, 1459, 81, 3359, 85, 26, 3359, 85, 30, 1638, 711, 284, 415, 2771, 85, 328, 4442, 44, 291, 442, 4442, 77, 3359, 85, 729, 626, 27, 284, 442, 4247, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 9, 11, 12, 12, 11, 8, 7, 9, 9, 9, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 5, 4, 4, 3, 3, 3, 5, 7, 8, 8, 7, 8, 7, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 465, 2322, 30, 2322, 32, 983, 30, 5237, 203, 465, 29590, 30, 19571, 30, 622, 2215, 203, 465, 316, 203, 325, 5237, 32, 6949, 1648, 333, 225, 34, 106, 34, 36, 34, 37, 34, 34, 34, 34, 44, 664, 5237, 32, 8228, 32, 1821, 440, 21542, 31, 452, 31, 2912, 32, 978, 44, 7171, 4865, 225, 36, 32, 37, 556, 6125, 5327, 96, 657, 664, 5237, 32, 4775, 26, 35, 27, 203, 21542, 5232, 280, 2149, 203, 21542, 4915, 280, 2149, 203, 21542, 19277, 280, 2149, 203, 21542, 6586, 280, 2149, 203, 21542, 890, 85, 2021, 280, 225, 34, 203, 589, 6886, 2262, 291, 1459, 1524, 78, 203, 23, 101, 44, 428, 15979, 79, 333, 21542, 44041, 48, 203, 2184, 44, 284, 429, 101, 30, 769, 2912, 1293, 47, 3539, 44, 636, 432, 322, 1603, 372, 526, 7511, 33, 850, 656, 436, 11885, 3528, 284, 429, 96, 30, 769, 96, 268, 2423, 47, 1844, 44, 261, 1451, 432, 1539, 2021, 688, 1098, 6595, 656, 312, 316, 2423, 308, 1536, 47, 34, 30, 429, 35, 372, 43292, 27, 284, 429, 104, 30, 769, 10529, 44, 958, 526, 9541, 203, 3648, 44, 284, 420, 89, 44041, 44, 225, 636, 432, 322, 677, 57, 2074, 372, 1188, 308, 5660, 27, 203, 2993, 904, 5237, 32, 6118, 77, 34, 79, 203, 589, 622, 2912, 2121, 26, 496, 30, 2340, 711, 284, 4533, 280, 4247, 284, 40350, 280, 316, 32, 6993, 463, 29548, 49, 5421, 101, 29, 21484, 3424, 11060, 1814, 2872, 26, 496, 27, 284, 415, 40350, 44, 291, 4533, 1454, 330, 1358, 40893, 81, 37381, 81, 2474, 28664, 101, 20, 2082, 25, 904, 40350, 32, 1363, 26, 35, 27, 291, 4533, 1454, 330, 1358, 40893, 81, 24556, 2916, 81, 2474, 28664, 101, 20, 2082, 25, 904, 40350, 32, 1363, 26, 35, 27, 291, 4533, 1454, 330, 1358, 40893, 81, 37381, 81, 17945, 28664, 101, 20, 2082, 25, 904, 40350, 32, 1363, 26, 36, 27, 291, 4533, 1454, 330, 1358, 40893, 81, 24556, 2916, 81, 17945, 28664, 101, 20, 2082, 25, 904, 40350, 32, 1363, 26, 36, 27, 284, 813, 44, 291, 4533, 1454, 330, 1358, 40893, 81, 37381, 81, 2474, 28664, 101, 20, 2082, 25, 904, 1256, 291, 4533, 1454, 330, 1358, 40893, 81, 24556, 2916, 81, 2474, 28664, 101, 20, 2082, 25, 904, 1256, 291, 4533, 1454, 330, 1358, 40893, 81, 37381, 81, 17945, 47, 2082, 25, 291, 4533, 1454, 330, 1358, 40893, 81, 24556, 2916, 81, 17945, 47, 2082, 25, 284, 4533, 1454, 330, 1358, 40893, 81, 37381, 81, 5241, 28664, 101, 20, 2082, 25, 904, 2340, 284, 4533, 1454, 330, 1358, 40893, 81, 24556, 2916, 81, 5241, 28664, 101, 20, 2082, 25, 904, 2340, 284, 442, 4533, 203, 1293, 280, 4247, 203, 2215, 81, 96, 268, 2423, 280, 225, 34, 203, 10529, 280, 3177, 203, 1270, 44, 284, 6410, 30, 2181, 280, 622, 2215, 32, 30226, 26, 3731, 32, 6118, 77, 35, 23751, 330, 101, 44, 102, 44, 96, 44, 104, 370, 2107, 2912, 1293, 12483, 330, 1433, 1515, 12483, 330, 96, 268, 2423, 12483, 330, 10529, 3490, 284, 436, 337, 30 ]

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

[ 1, 1, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 2, 2, 5, 6, 5, 6, 5, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 1, 1, 3, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 7, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 6, 7, 6, 2, 2, 3, 3, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 10, 9, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 10, 9, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 10, 9, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 10, 9, 3, 3, 4, 4, 4, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 5, 5, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 3, 0, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 0, 1, 1, 1, 1, 5, 5, 4, 4, 7, 6, 7, 6, 9, 8, 9, 7, 9, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 2, 2, 3, 4 ]

[ 0, 0, 0, 0, 3, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 9, 9, 2, 9, 9, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 1, 5, 1, 2, 2, 2, 1, 1 ]

[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 465, 2322, 203, 465, 29590, 203, 6896, 347, 1010, 23, 56, 3698, 31, 35, 32, 36, 203, 16822, 5956, 36, 78, 5956, 37, 78, 106, 4929, 78, 9576, 37, 203, 35, 225, 34, 2830, 203, 3571, 203, 33, 56, 3698, 203, 3571, 203, 33, 4140, 428, 203, 2993, 203, 19406, 347, 1010, 79, 203, 2005, 203, 2005, 203, 416, 2067, 203, 359, 23335, 203, 3571, 203, 33, 4058, 225, 35, 225, 34, 559, 203, 2005, 203, 1784, 9471, 203, 2993, 203, 589, 1688, 81, 1495, 26, 88, 711, 284, 442, 2706, 7689, 78, 3126, 20, 474, 34873, 2524, 26, 428, 2706, 106, 34, 34, 5115, 85, 436, 281, 328, 296, 1481, 829, 203, 589, 6571, 81, 3494, 26, 4446, 711, 284, 5036, 280, 1605, 284, 436, 1628, 328, 5430, 44, 291, 415, 1628, 32, 15990, 3247, 72, 7831, 324, 3097, 4456, 4348, 1628, 32, 15990, 3247, 70, 7831, 324, 1202, 280, 1628, 77, 41, 5979, 36, 79, 324, 1202, 280, 35617, 2524, 26, 678, 32, 2998, 9442, 106, 34, 34, 2847, 324, 5036, 32, 1689, 26, 1202, 829, 284, 442, 5036, 203, 589, 2866, 81, 1495, 26, 541, 30, 1202, 30, 786, 711, 284, 963, 32, 1821, 440, 3571, 78, 96, 657, 284, 415, 786, 44, 291, 963, 32, 1821, 4207, 72, 10027, 101, 5421, 96, 20, 904, 853, 27, 284, 813, 44, 291, 963, 32, 1821, 4207, 72, 18593, 96, 657, 284, 963, 32, 1821, 4207, 70, 10027, 101, 5421, 96, 20, 904, 1688, 81, 1495, 26, 678, 27, 829, 284, 963, 32, 1821, 30554, 48, 766, 96, 657, 203, 589, 2866, 81, 4151, 26, 541, 30, 3829, 711, 284, 963, 32, 1821, 26, 6896, 27, 284, 436, 1202, 328, 3829, 44, 291, 786, 280, 3829, 77, 678, 79, 291, 2866, 81, 1495, 26, 541, 30, 1202, 30, 786, 27, 284, 963, 32, 1821, 26, 19406, 27, 203, 589, 6571, 81, 3494, 81, 1070, 81, 4682, 26, 3607, 711, 284, 3691, 81, 761, 280, 29590, 32, 4765, 270, 957, 5791, 23903, 16050, 35, 79, 284, 1596, 44, 291, 2322, 32, 2946, 463, 7111, 708, 93, 904, 101, 4450, 81, 23903, 1688, 25937, 101, 1492, 25, 904, 308, 3607, 30, 3691, 81, 761, 490, 291, 623, 2156, 26, 2868, 81, 761, 30, 313, 100, 657, 619, 432, 414, 44, 324, 5430, 280, 432, 414, 32, 33232, 346, 284, 8295, 44, 291, 1596, 44, 324, 2322, 32, 2546, 26, 2868, 81, 761, 27, 291, 2940, 3268, 44, 324, 3097, 3701, 442, 6571, 81, 3494, 26, 4446, 27, 203, 589, 5318, 81, 4682, 26, 35380, 30, 28388, 30, 3829, 711, 284, 3691, 81, 761, 280, 29590, 32, 4765, 270, 957, 5791, 23903, 16050, 35, 79, 284, 1596, 44, 291, 623, 2156, 26, 2868, 81, 761, 30, 313, 105, 657, 619, 432, 414, 44, 324, 2866, 81, 4151, 26, 97, 761, 30, 3829, 27, 291, 2322, 32, 2946, 463, 7111, 708, 93, 904, 101, 5318, 81, 599, 25937, 101, 1492, 1688, 904, 101, 21096, 25, 904, 308, 35380, 30, 3691, 81, 761, 30, 28388, 490, 284 ]

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

[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 7, 7, 7, 6, 4, 4, 7, 6, 6, 7, 11, 11, 11, 10, 9, 7, 8, 8, 8, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 9, 9, 5, 5, 5, 5, 6, 8, 9, 8, 10, 10, 6, 6, 9, 9, 10, 12, 11, 13, 10, 7, 7, 9, 9, 12, 11, 14, 13, 14, 13, 16, 16, 16, 15, 7, 7, 10, 11, 10, 10, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 6, 5, 7, 8, 8, 7, 2, 2, 3, 3, 3, 3, 7, 8, 7, 10, 10, 10, 10, 11, 10, 8, 9, 7, 3, 3, 4, 4, 4, 8, 9, 8, 10, 10, 11, 10, 2, 2, 5, 6, 5, 8, 8, 8, 8, 9, 8, 6, 6, 8, 8, 8, 9, 8, 5, 2, 2, 5, 6, 5, 7, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 6, 5, 6, 5, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 7, 8, 7, 4, 4, 7, 7, 7, 8, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 8, 8, 7, 9, 9, 6, 5, 2, 2, 3, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 8, 8, 10, 9, 9, 10, 10, 9, 4, 4, 5, 10, 11, 11, 11, 10, 10, 12, 12, 8, 8, 10, 5, 5, 5, 8, 8, 11, 10, 11, 10, 3, 3, 4, 4, 4, 6, 6, 6, 10, 11, 10, 11, 11, 11, 10, 6, 6, 7, 7, 7, 7, 2, 2, 3, 5, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 7, 8, 8, 8, 7, 9, 9, 6, 5, 2, 2, 3, 3, 3, 5, 10, 11, 11, 11, 10, 10, 12, 12, 8, 8, 10, 5, 5, 5, 9, 9, 9, 10, 10, 9, 9, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 8, 8, 10, 9, 9, 10, 10, 9, 9, 9, 3 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 4, 0, 2, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 2, 3, 3, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 2, 0, 7, 7, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 2, 1, 1, 0, 0, 2, 4, 4, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 2, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 4, 4, 2, 0, 0, 1, 1, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 1 ]

[ 1070, 19271, 1146, 1188, 319, 203, 823, 7422, 3728, 1761, 44, 284, 1780, 280, 313, 3192, 13695, 20, 284, 4269, 280, 313, 3192, 20, 284, 1849, 4071, 1640, 280, 225, 35, 284, 665, 1156, 1664, 3207, 784, 30, 3051, 30, 6863, 711, 291, 630, 32, 2388, 280, 3051, 291, 630, 32, 3483, 280, 6863, 291, 630, 32, 1393, 280, 1665, 284, 665, 2156, 26, 784, 30, 1344, 30, 3233, 16096, 47, 2521, 711, 291, 630, 32, 878, 280, 1344, 291, 415, 646, 630, 32, 1393, 44, 324, 630, 32, 1297, 81, 12035, 346, 291, 813, 44, 324, 630, 32, 1393, 32, 286, 1566, 1147, 346, 324, 630, 32, 1393, 32, 4692, 13225, 346, 291, 415, 3233, 16096, 44, 324, 630, 32, 304, 32, 2560, 26, 34, 2360, 416, 657, 324, 630, 32, 304, 32, 3215, 440, 416, 392, 1903, 16096, 27, 291, 630, 32, 304, 32, 7745, 81, 470, 346, 291, 630, 32, 304, 32, 8319, 81, 3585, 26, 34, 30, 313, 416, 657, 291, 630, 32, 304, 32, 295, 305, 2960, 26, 34, 27, 291, 630, 32, 1393, 32, 28595, 81, 470, 346, 284, 665, 4230, 26, 784, 30, 1692, 47, 2521, 711, 291, 415, 630, 32, 1393, 44, 324, 630, 32, 1393, 32, 28595, 81, 3779, 346, 324, 630, 32, 1393, 32, 29970, 346, 284, 665, 1487, 81, 12035, 26, 784, 711, 291, 2663, 280, 9041, 2649, 26, 784, 32, 2388, 27, 291, 2663, 32, 2539, 10374, 2891, 9601, 630, 32, 1536, 81, 2501, 27, 291, 2663, 32, 2539, 10374, 19033, 9601, 630, 32, 2679, 27, 291, 2663, 32, 5721, 440, 9050, 81, 6691, 81, 18362, 392, 630, 32, 2679, 27, 291, 2663, 32, 13851, 81, 1311, 26, 784, 32, 1311, 27, 291, 2663, 32, 13851, 81, 1566, 426, 26, 784, 32, 1566, 27, 291, 630, 32, 1393, 280, 2663, 291, 630, 32, 643, 280, 225, 34, 291, 630, 32, 1393, 32, 3365, 81, 2592, 7799, 26, 34, 30, 9789, 47, 36, 30, 7533, 47, 34, 27, 291, 630, 32, 1393, 32, 3365, 81, 2592, 7799, 26, 35, 30, 9789, 47, 36, 30, 1847, 891, 47, 35, 34, 34, 30, 7533, 47, 35, 34, 34, 27, 291, 630, 32, 1297, 81, 9150, 346, 291, 630, 32, 1297, 81, 1762, 81, 11430, 346, 291, 630, 32, 1297, 81, 2455, 81, 11430, 346, 291, 442, 630, 32, 1297, 81, 2501, 81, 11430, 346, 284, 665, 1930, 81, 3038, 26, 784, 30, 2266, 30, 773, 711, 291, 456, 280, 9286, 26, 784, 32, 1393, 30, 1344, 47, 1172, 27, 291, 456, 32, 3365, 26, 643, 47, 784, 32, 643, 30, 2623, 47, 34, 30, 31847, 347, 19591, 657, 291, 484, 280, 13925, 26, 784, 32, 1393, 30, 1344, 4502, 47, 869, 30, 4166, 8319, 47, 34, 27, 291, 484, 32, 3365, 26, 643, 47, 784, 32, 643, 30, 2623, 47, 35, 30, 31847, 347, 96, 1376, 657, 291, 630, 32, 643, 280, 630, 32, 643, 474, 225, 35, 291, 442, 484, 284, 665, 1930, 81, 1744, 26, 784, 30, 1172, 878, 47, 2521, 711, 291, 415, 2266, 878, 44, 324, 456, 280, 9286 ]

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

[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 6, 7, 8, 5, 5, 5, 9, 10, 10, 10, 9, 5, 5, 6, 6, 6, 11, 12, 10, 11, 11, 11, 10, 7, 7, 11, 12, 10, 11, 11, 10, 4, 4, 5, 6, 5, 5, 5, 10, 11, 9, 10, 9, 10, 9, 11, 11, 6, 6, 10, 11, 9, 10, 9, 11, 11, 10, 10, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 10, 10, 9, 6, 6, 10, 11, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 9, 7, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 10, 9, 10, 7, 7, 8, 9, 7, 7, 8, 10, 10, 4, 4, 6, 6, 8, 10, 9, 10, 8, 8, 10, 9, 10, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 10, 9, 10, 7, 7, 8, 9, 7, 7, 8, 10, 10, 10, 4, 4, 7, 8, 6, 6, 8, 9, 7, 7, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 8, 8 ]

[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3, 3, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 4, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 4, 4, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 1, 1, 2, 3, 3, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 3, 3, 5, 2, 1, 2, 2, 3, 2, 2, 5, 5, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 3, 3, 0, 2, 0, 2, 1, 3, 3, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 0, 5, 2, 2, 2, 1, 1, 7, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 13, 0, 2, 2, 2, 2, 2, 1, 3, 3, 7, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 2, 1, 1, 5, 1, 2, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 0, 3, 2, 1, 1, 0, 5, 2, 1, 4, 4, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 5, 3, 3, 8, 1, 1, 2, 1, 2, 0, 0, 3, 2, 2, 8, 8, 0, 1, 0, 0, 0, 0, 0 ]

[ 1070, 1672, 32511, 1188, 319, 203, 1070, 18686, 32, 7391, 32, 13095, 81, 407, 1188, 2022, 81, 5185, 36, 203, 1070, 18686, 32, 7391, 32, 13095, 81, 407, 1188, 296, 2323, 279, 764, 81, 5185, 36, 203, 589, 296, 2323, 279, 764, 81, 1231, 26, 17946, 5503, 12222, 30, 647, 284, 559, 635, 30, 351, 284, 15247, 2591, 30, 958, 284, 15247, 12733, 30, 958, 284, 358, 1305, 55, 30, 958, 284, 506, 1724, 30, 351, 284, 506, 1680, 30, 351, 284, 506, 4135, 30, 351, 284, 8897, 68, 30, 958, 284, 22968, 51, 30, 647, 284, 22968, 52, 30, 647, 284, 22968, 53, 30, 647, 284, 22968, 54, 30, 647, 284, 18102, 70, 3285, 30, 17946, 17842, 69, 351, 284, 8063, 284, 9766, 30, 4534, 30, 5185, 36, 81, 4891, 30, 1306, 81, 4891, 280, 2022, 81, 5185, 36, 32, 371, 81, 11201, 346, 284, 9766, 280, 5503, 12222, 284, 5657, 280, 559, 635, 284, 20670, 36, 81, 4891, 32, 605, 81, 91, 280, 506, 1724, 284, 20670, 36, 81, 4891, 32, 605, 81, 97, 280, 506, 1680, 284, 20670, 36, 81, 4891, 32, 605, 81, 102, 280, 506, 4135, 284, 20670, 36, 81, 4891, 32, 9294, 605, 280, 22968, 53, 284, 20670, 36, 81, 4891, 32, 9294, 5978, 280, 22968, 52, 284, 20670, 36, 81, 4891, 32, 1821, 280, 15247, 2591, 284, 20670, 36, 81, 4891, 32, 850, 280, 15247, 12733, 284, 20670, 36, 81, 4891, 32, 17387, 416, 280, 18102, 70, 3285, 284, 485, 81, 88, 374, 280, 296, 2323, 279, 764, 81, 5185, 36, 26, 9100, 30, 5657, 30, 20670, 36, 81, 4891, 30, 2022, 81, 4891, 27, 284, 456, 1582, 280, 19555, 26, 410, 18928, 26, 34, 5594, 42, 19572, 284, 296, 36, 90, 2303, 81, 266, 280, 2022, 81, 4891, 32, 1327, 81, 91, 284, 420, 36, 88, 10593, 81, 266, 280, 2022, 81, 4891, 32, 2584, 81, 91, 284, 420, 36, 88, 2303, 81, 541, 280, 2022, 81, 4891, 32, 1327, 81, 97, 284, 17833, 6762, 81, 541, 280, 2022, 81, 4891, 32, 6622, 81, 3225, 284, 296, 36, 90, 750, 81, 266, 280, 2022, 81, 4891, 32, 605, 81, 91, 284, 420, 36, 88, 750, 81, 541, 280, 2022, 81, 4891, 32, 605, 81, 97, 284, 296, 325, 2475, 94, 280, 20670, 36, 81, 4891, 32, 42861, 2475, 94, 284, 477, 12149, 81, 30767, 284, 665, 420, 3657, 81, 5157, 101, 2262, 291, 8897, 68, 32, 1978, 77, 34, 79, 280, 3177, 291, 8897, 68, 32, 1978, 77, 35, 79, 280, 296, 325, 2475, 94, 291, 358, 1305, 55, 32, 1978, 280, 15247, 12733, 291, 296, 36, 90, 2303, 81, 266, 32, 1978, 280, 2933, 291, 420, 36, 88, 10593, 81, 266, 32, 1978, 280, 2933, 291, 17842, 69, 32, 1978, 280, 456, 1582, 291, 415, 17833, 6762, 81, 541, 610, 225, 34, 44, 324, 296, 36, 90, 750, 81, 266, 32, 1978, 280, 225, 34, 106, 1955, 4456, 4348, 17833, 6762, 81, 541, 610, 225, 35, 44, 324, 296, 36, 90, 750, 81, 266, 32, 1978, 280, 456, 1582, 291, 813, 44, 324 ]

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

[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 6, 5, 6, 6, 6, 6, 5, 6, 6, 6, 4, 4, 7, 7, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 5, 2, 2, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 4, 4, 5, 2, 2, 6, 6, 6, 5, 6, 6, 4, 4, 5, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 5, 4, 4, 6, 9, 9, 9, 10, 9, 9, 8, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 5, 6, 6, 6, 2, 2, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 10, 9, 10, 8, 9, 8, 7, 7, 5, 5, 10, 9, 10, 8, 9, 8, 7, 7, 8, 8, 8, 5, 5, 9, 9, 8, 9, 7, 7, 8, 5, 5, 9, 9, 9, 9, 9, 8, 9, 7, 7, 5, 5, 9, 9, 9, 9, 9, 8, 9, 7, 7, 5, 5, 9, 8, 9, 7, 7, 8, 5, 5, 6, 8, 8, 8, 7, 7, 8, 6, 6, 6, 11, 11, 11, 11, 11, 10, 11, 9, 9, 10, 10, 10, 6, 6, 7, 9, 9, 9, 8, 8, 9, 7, 7, 7, 12, 12, 12, 12, 12, 11, 12, 10, 10, 11, 6, 6, 7, 7 ]

[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 7, 2, 2, 2, 2, 9, 9, 2, 2, 2, 2, 11, 2, 2, 2, 2, 13, 2, 2, 2, 2, 15, 2, 2, 2, 2, 17, 2, 2, 2, 2, 19, 2, 2, 2, 2, 21, 2, 2, 2, 2, 23, 2, 2, 2, 2, 25, 2, 2, 2, 2, 27, 27, 2, 2, 2, 29, 2, 2, 2, 3, 3, 0, 2, 0, 4, 4, 4, 4, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 5, 1, 1, 7, 7, 1, 4, 4, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 20, 20, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 4, 4, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 2, 4, 4, 6, 0, 0, 0, 1, 1, 2, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 6, 6, 4, 0, 0, 0, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 6, 6, 5, 5 ]

[ 465, 1360, 203, 465, 316, 203, 465, 5741, 203, 589, 2454, 81, 1647, 26, 1803, 81, 426, 30, 1519, 30, 3408, 47, 2521, 30, 20217, 47, 2521, 711, 284, 1980, 280, 1665, 284, 1596, 44, 291, 803, 30, 1519, 30, 42004, 280, 1360, 32, 1809, 81, 1647, 26, 1803, 81, 426, 30, 428, 983, 1130, 291, 415, 803, 44, 324, 2047, 280, 1360, 32, 944, 81, 1647, 26, 1803, 81, 426, 30, 803, 30, 1519, 30, 42004, 27, 324, 415, 3408, 461, 20217, 44, 400, 1980, 280, 18623, 26, 1803, 30, 2047, 32, 7420, 81, 2474, 2502, 2035, 30, 20217, 27, 324, 813, 44, 400, 1980, 280, 18623, 26, 1803, 30, 2047, 32, 7420, 81, 2474, 45895, 284, 2940, 29986, 619, 13489, 44, 291, 5741, 32, 731, 463, 2023, 3751, 3973, 499, 904, 101, 370, 2047, 81, 426, 27, 291, 5741, 32, 3893, 26, 14806, 27, 284, 8295, 44, 291, 442, 1980, 203, 589, 14949, 81, 7001, 81, 4526, 26, 2035, 30, 952, 30, 3882, 30, 4774, 30, 319, 1132, 711, 284, 1596, 44, 291, 1188, 4356, 26343, 291, 2043, 280, 4356, 26343, 32, 19466, 1486, 346, 291, 2043, 32, 470, 81, 9785, 81, 2035, 81, 678, 81, 6038, 26, 753, 26343, 32, 4741, 1103, 4248, 1157, 291, 2043, 32, 3517, 26, 2035, 30, 952, 47, 699, 30, 3882, 47, 2895, 27, 291, 24621, 30, 12532, 30, 16154, 280, 2043, 32, 2493, 81, 2501, 26, 3515, 27, 291, 442, 12532, 32, 33232, 346, 284, 2940, 29986, 619, 13489, 44, 291, 5741, 32, 731, 9670, 90, 3210, 21533, 1674, 2304, 1674, 9404, 81, 7001, 81, 4526, 79, 3803, 372, 20, 2855, 313, 944, 2297, 330, 753, 26343, 370, 2800, 1206, 2307, 15981, 291, 5741, 32, 3893, 26, 14806, 27, 291, 442, 1665, 284, 2940, 3268, 619, 13489, 44, 291, 5741, 32, 731, 9670, 90, 3210, 21533, 1674, 2304, 1674, 9404, 81, 7001, 81, 4526, 79, 3803, 44, 904, 101, 392, 2855, 4774, 27, 291, 5741, 32, 3893, 26, 14806, 27, 291, 442, 1665, 284, 8295, 44, 291, 2043, 32, 2679, 346, 203, 589, 2080, 81, 639, 81, 1643, 26, 639, 81, 2468, 711, 284, 415, 646, 316, 32, 2872, 26, 100, 28249, 1162, 2009, 34, 31, 36, 79, 21194, 86, 109, 34, 30, 36, 4104, 32, 1511, 37, 111, 2009, 34, 31, 36, 79, 21194, 86, 109, 34, 30, 36, 18364, 25, 528, 36196, 1162, 13644, 1804, 31, 41961, 31, 56, 8274, 35, 30, 38, 10696, 1511, 41, 111, 40817, 1804, 31, 41961, 31, 56, 8274, 35, 30, 38, 111, 2610, 37143, 528, 4749, 81, 2468, 711, 291, 442, 3177, 284, 442, 2933, 203, 9036, 81, 4530, 69, 280, 5053, 104, 35, 950, 225, 35, 30, 353, 330, 104, 36, 85, 950, 225, 36, 30, 353, 330, 104, 37, 950, 225, 37, 111, 203, 589, 7777, 317, 81, 11905, 26, 2035, 30, 20217, 30, 319, 1132, 711, 284, 1596, 44, 291, 1188, 3706, 30231, 284, 2940, 29986, 44, 291, 5741, 32, 731, 440, 2459, 330, 1299, 30231, 25, 745, 646, 2307, 19, 5294, 2443, 561, 1932, 657, 291, 442, 1665, 284, 415, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 10, 9, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 13, 14, 13, 13, 14, 15, 15, 15, 13, 13, 12, 12, 12, 7, 7, 8, 8, 8, 11, 11, 14, 15, 14, 14, 15, 16, 16, 16, 14, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 5, 5, 8, 9, 8, 9, 8, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 3, 3, 3, 5, 7, 4, 4, 6, 6, 9, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 10, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 5, 7, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 8, 9, 8, 5, 5, 6, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 5, 5, 8, 9, 8, 9, 8, 5, 5, 6, 3, 3, 4, 4, 4, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 7, 6, 3, 3, 5, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 4, 5, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 2, 1, 1, 3, 3, 3, 5, 7, 3, 3, 4, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 2, 2, 3 ]

[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 5, 0, 2, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 2, 0, 0, 4, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 2, 0, 0, 5, 5, 5, 0, 2, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 2, 5, 2, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 1 ]

[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 337, 2269, 30, 3829, 203, 823, 4054, 81, 2387, 26, 500, 104, 32, 1243, 711, 284, 617, 6815, 280, 330, 2445, 32, 2387, 25, 284, 617, 6057, 280, 301, 291, 330, 12787, 81, 14554, 950, 3829, 32, 4398, 463, 8589, 328, 322, 9575, 370, 1933, 47, 2700, 471, 284, 320, 284, 617, 10514, 280, 301, 291, 330, 12787, 81, 14554, 950, 3177, 30, 284, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 8, 9, 10, 8, 5, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 5, 5, 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 ]

[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 823, 7578, 3782, 15756, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 1503, 280, 330, 35, 32, 34, 7831, 284, 630, 32, 695, 280, 2149, 284, 630, 32, 695, 710, 1216, 785, 280, 2149, 284, 630, 32, 695, 710, 1648, 785, 280, 1503, 334, 665, 2222, 1514, 2828, 26, 784, 30, 1963, 81, 681, 711, 284, 630, 32, 695, 710, 1216, 4902, 1489, 785, 280, 5053, 681, 950, 1963, 81, 681, 111, 334, 665, 2222, 19691, 732, 2828, 26, 784, 30, 1929, 81, 27382, 711, 284, 630, 32, 695, 710, 1216, 4902, 27382, 785, 280, 5053, 27382, 950, 1929, 81, 27382, 111, 334, 665, 2222, 30321, 1909, 2828, 26, 784, 30, 21014, 1909, 81, 681, 711, 284, 630, 32, 695, 710, 1216, 4902, 12130, 1909, 785, 280, 5053, 681, 950, 21014, 1909, 81, 681, 111, 334, 665, 2222, 1969, 13980, 2828, 26, 784, 30, 14103, 81, 681, 711, 284, 630, 32, 695, 710, 1216, 4902, 1637, 81, 16536, 785, 280, 5053, 681, 950, 14103, 81, 681, 111, 334, 665, 2222, 54, 1295, 2828, 26, 784, 30, 14773, 81, 16528, 30, 10693, 81, 16528, 711, 284, 630, 32, 695, 710, 1216, 4902, 16528, 785, 280, 5053, 10630, 81, 16528, 950, 14773, 81, 16528, 30, 1378, 330, 10163, 81, 16528, 950, 10693, 81, 16528, 111, 334, 665, 2222, 10507, 2828, 26, 784, 30, 2663, 30, 2091, 30, 6822, 30, 2841, 711, 284, 630, 32, 695, 710, 1216, 4902, 4536, 101, 785, 280, 5053, 1393, 81, 11580, 2558, 101, 950, 2663, 30, 1891, 330, 990, 81, 11580, 2558, 101, 950, 2091, 30, 1891, 330, 3462, 81, 11580, 2558, 101, 950, 6822, 30, 1891, 330, 1873, 81, 11580, 2558, 101, 950, 2841, 111, 334, 665, 2222, 1250, 2828, 26, 784, 30, 2384, 81, 11580, 2558, 101, 30, 1861, 81, 11580, 2558, 101, 711, 284, 630, 32, 695, 710, 1216, 4902, 3435, 81, 891, 785, 280, 5053, 2273, 81, 11580, 2558, 101, 950, 2384, 81, 11580, 2558, 101, 30, 10000, 330, 1644, 81, 11580, 2558, 101, 950, 1861, 81, 11580, 2558, 101, 111, 334, 665, 2222, 17696, 2828, 26, 784, 711, 284, 630, 32, 695, 710, 1216, 4902, 9833, 81, 1174, 785, 280, 5053, 9833, 81, 1174, 950, 2933, 111, 334, 665, 2222, 14069, 705, 1969, 2828, 26, 784, 30, 827, 711, 284, 630, 32, 695, 710, 1216, 4902, 4698, 81, 452, 81, 1637, 785, 280, 5053, 681, 950, 827, 111, 334, 665, 2222, 1969, 3198, 2828, 26, 784, 30, 1477, 30, 943, 280, 1665, 711, 284, 1938, 81, 19972, 280, 11658, 415, 330, 1637, 81, 3585, 25, 646, 328, 630, 32, 695, 710, 1216, 785, 813, 4511, 630, 32, 695, 710, 1216, 4902, 1637, 81, 3585, 4902, 7568, 3490, 284, 537, 81, 3585, 280, 5053, 1366, 950, 1477, 111, 284, 415, 943, 438, 646, 1665, 44, 397, 537, 81, 3585, 710, 416, 20950, 943, 284, 1938, 81, 19972, 32, 1689, 26, 890, 81, 3585, 27, 284, 630, 32, 695, 710, 1216, 4902, 1637, 81, 3585, 20950, 5053, 7568, 950, 1938, 81, 19972, 111, 203, 823, 570, 2955, 5229, 26, 1473, 711, 334, 31125, 65 ]

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

[ 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 7, 7, 7, 7, 3, 3, 7, 8, 6, 6, 4, 4, 8, 9, 7, 9, 9, 6, 6, 4, 4, 8, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 6, 6, 10, 10, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 6, 6, 10, 10, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 6, 6, 10, 10, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 9, 6, 6, 10, 10, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 6, 6, 10, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 6, 6, 10, 10, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 9, 6, 6, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 9, 6, 6, 10, 10, 10, 10, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 8, 10, 10, 9, 9, 9, 9, 9, 9, 6, 6, 10, 10, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 11, 11, 11, 11, 9, 9, 9, 11, 12, 10, 12, 12, 8, 8, 8, 12, 13, 11, 13, 13, 12, 12, 12, 12, 11, 11, 4, 4, 7, 7, 6, 6, 10, 10, 8, 7, 4, 4, 5, 6, 6, 6, 5, 5, 5, 10, 10, 9, 11, 11, 8, 4, 4, 8, 8, 7, 8, 7, 8, 8, 8, 7, 4, 4, 9, 10, 8, 10, 10, 9, 9, 9, 9, 6, 10, 10, 8, 9, 9, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5 ]

[ 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 1, 2, 0, 0, 4, 4, 0, 2, 0, 1, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 3, 3, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 5, 5, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 2, 4, 4, 7, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 7, 7, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 4, 4, 9, 1, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 4, 4, 10, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0 ]