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

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
depths
listlengths
512
512
sibling_idxs
listlengths
512
512
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 34380, 30, 11815, 81, 25661, 30, 1459, 81, 1126, 30, 715, 15390, 81, 30839, 30, 623, 81, 9849, 27, 203, 1070, 42406, 1188, 9637, 35, 203, 465, 18792, 203, 1070, 298, 2376, 32, 1439, 32, 11452, 1188, 10057, 3373, 984, 203, 1070, 298, 2376, 32, 1832, 81, 2255, 32, 2468, 1188, 8983, 203, 1070, 298, 2376, 32, 1040, 32, 2859, 1188, 7400, 1339, 203, 589, 3677, 81, 1977, 26, 2468, 30, 12809, 711, 334, 3677, 265, 280, 9637, 35, 346, 334, 3677, 265, 32, 1877, 26, 2468, 27, 334, 3677, 265, 32, 1877, 26, 12420, 27, 334, 442, 3677, 265, 32, 6949, 13995, 346, 203, 823, 4803, 6246, 2922, 2214, 1761, 26, 5584, 1339, 711, 334, 617, 12443, 280, 739, 346, 334, 443, 11963, 2438, 924, 26, 2922, 3373, 984, 711, 334, 477, 17614, 334, 665, 5657, 26, 6933, 711, 284, 9011, 1114, 12443, 32, 3815, 346, 334, 665, 1156, 1664, 3207, 784, 30, 3185, 81, 1819, 711, 284, 630, 1114, 2208, 81, 1819, 280, 3185, 81, 1819, 334, 477, 2433, 334, 665, 6717, 81, 1977, 81, 8299, 26, 784, 711, 284, 442, 2149, 334, 665, 617, 1297, 81, 38989, 81, 1977, 26, 784, 30, 2965, 30, 12809, 711, 284, 415, 646, 6937, 26, 2468, 30, 18792, 32, 800, 81, 2516, 711, 397, 3636, 630, 32, 7700, 2438, 924, 440, 7700, 802, 2965, 2793, 30, 5424, 827, 301, 681, 3845, 8479, 638, 1643, 26, 681, 47, 681, 26, 2468, 2610, 284, 2965, 280, 8983, 32, 2208, 26, 2468, 30, 630, 1114, 2208, 81, 1819, 32, 2808, 81, 983, 27, 284, 3677, 81, 466, 280, 3677, 81, 1977, 26, 466, 26, 2468, 471, 12809, 27, 284, 636, 280, 8930, 426, 11915, 38910, 27397, 12420, 45147, 1055, 16805, 1643, 26, 397, 636, 47, 2468, 32, 1977, 81, 426, 30, 397, 12809, 47, 12420, 32, 3227, 463, 5769, 5608, 1425, 397, 1650, 47, 2888, 81, 466, 30, 284, 829, 284, 415, 308, 426, 30, 630, 1114, 2208, 81, 1819, 32, 2808, 81, 983, 27, 646, 328, 630, 1114, 12443, 44, 397, 630, 1114, 2208, 81, 1819, 32, 1297, 81, 1473, 26, 291, 330, 1977, 370, 291, 636, 47, 426, 30, 291, 6440, 6020, 2468, 32, 2285, 614, 291, 1115, 784, 32, 7615, 81, 1977, 81, 8299, 397, 829, 397, 630, 1114, 12443, 32, 669, 1162, 426, 30, 630, 1114, 2208, 81, 1819, 32, 2808, 81, 983, 490, 284, 442, 14589, 34917, 1643, 26, 426, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 4, 4, 6, 6, 2, 2, 6, 5, 6, 5, 6, 5, 2, 2, 6, 5, 6, 5, 6, 5, 2, 2, 3, 6, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 6, 2, 2, 3, 4, 4, 4, 5, 5, 5, 4, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 9, 10, 8, 9, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 9, 10, 10, 10, 8, 5, 5, 7, 9, 10, 10, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 11, 13, 12, 14, 14, 15, 14, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 10, 11, 11, 11, 9, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 10, 10, 11, 10, 8, 8, 4, 4, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 8, 8, 9, 11, 10, 11, 11, 11, 8, 8, 8, 9, 12, 11, 12, 11, 13, 11, 13, 8, 8, 9, 10, 10, 10, 8, 8, 8, 4, 4, 5, 8, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 7, 6, 6, 6, 7, 8, 5, 5, 5, 10, 11, 11, 11, 9, 10, 10, 10, 9, 9, 9, 11, 11, 9, 9, 10, 11, 9, 9, 9, 10, 13, 12, 13, 11, 9, 9, 12, 11, 12, 12, 12, 12, 12, 9, 9, 6, 6, 10, 11, 9, 10, 9, 11, 10, 10, 12, 13, 13, 13, 11, 12, 12, 12, 10, 4, 4, 5, 9, 8, 7, 8, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 2, 2, 1, 4, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 3, 0, 0, 2, 2, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 2, 7, 7, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 4, 4, 3, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 4, 4, 5, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 3, 0, 0, 2, 1, 1, 1, 2, 1, 1, 5, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 0, 0, 0, 2, 2, 2, 3, 2, 2, 2, 0, 1, 1, 1, 2, 2, 4, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 2, 2, 1, 4, 4, 5, 1, 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 ]
[ 465, 13092, 203, 1070, 8527, 32, 7491, 1188, 11550, 203, 1070, 8527, 32, 858, 1188, 2684, 81, 3550, 203, 1070, 787, 103, 417, 32, 1262, 1188, 20871, 7085, 984, 203, 50, 12408, 32, 1826, 32, 28913, 440, 8126, 81, 678, 30, 786, 30, 1395, 81, 13225, 392, 428, 284, 2884, 4186, 10062, 81, 5807, 81, 34801, 81, 3521, 392, 1665, 30, 2933, 471, 284, 2884, 4186, 10062, 81, 5807, 81, 34801, 81, 3521, 392, 3177, 30, 2933, 471, 284, 2884, 4186, 10062, 81, 5807, 81, 34801, 81, 3521, 392, 4320, 2933, 471, 284, 2884, 4186, 10062, 81, 5807, 81, 34801, 81, 3521, 392, 313, 272, 392, 3177, 471, 284, 2884, 4186, 10062, 81, 62, 15067, 17475, 392, 1665, 30, 2933, 471, 284, 2884, 4186, 10062, 81, 62, 15067, 17475, 392, 3177, 30, 2933, 471, 284, 2884, 4186, 10062, 81, 62, 15067, 17475, 392, 4320, 2933, 471, 284, 2884, 4186, 10062, 81, 62, 15067, 17475, 392, 6663, 2933, 471, 284, 2884, 4186, 10062, 81, 62, 15067, 17475, 392, 301, 2521, 44, 428, 35, 30, 36, 15755, 3177, 471, 284, 2884, 4186, 10062, 81, 62, 15067, 17475, 392, 3447, 272, 563, 428, 35, 30, 36, 15755, 3177, 471, 203, 1130, 203, 50, 12408, 32, 1826, 32, 11025, 81, 1199, 203, 589, 894, 81, 568, 1180, 81, 4189, 81, 687, 26, 8126, 81, 678, 30, 786, 30, 1395, 81, 13225, 711, 284, 10306, 280, 301, 8126, 81, 678, 44, 786, 111, 284, 623, 2684, 81, 3550, 14605, 5321, 711, 291, 415, 1395, 81, 13225, 44, 324, 623, 13092, 32, 16708, 26, 9085, 7085, 984, 711, 400, 11550, 32, 371, 81, 725, 81, 1163, 463, 33544, 417, 1814, 2584, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 2, 6, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 9, 8, 8, 10, 9, 10, 9, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 10, 10, 8, 10, 9, 10, 9, 6, 6, 5, 5, 1, 2, 5, 4, 5, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 2, 2, 5, 5, 8, 8, 8, 7, 7, 6, 3, 3, 4, 8, 8, 8, 10, 8, 4, 4, 6, 7, 7, 6, 6, 6, 8, 12, 13, 12, 13, 13, 13, 12, 8, 8, 14, 15, 15, 15, 15, 15, 14, 16, 16, 16, 13, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 2, 7, 7, 3, 3, 1, 1, 1, 1, 1, 1, 2, 9, 9, 9, 9, 3, 3, 1, 1, 1, 1, 1, 1, 2, 11, 11, 11, 11, 3, 3, 1, 1, 1, 1, 1, 1, 2, 13, 13, 13, 3, 3, 1, 1, 1, 1, 1, 1, 2, 15, 15, 15, 3, 3, 1, 1, 1, 1, 1, 1, 2, 17, 0, 1, 1, 1, 2, 3, 2, 17, 17, 3, 3, 1, 1, 1, 1, 1, 1, 2, 19, 1, 2, 1, 1, 2, 3, 2, 19, 19, 3, 3, 4, 1, 0, 0, 2, 1, 2, 2, 2, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 28168, 44, 284, 665, 1156, 1664, 3207, 784, 30, 816, 711, 291, 630, 32, 695, 280, 816, 291, 630, 32, 1978, 280, 1665, 203, 823, 12186, 44, 284, 665, 438, 19543, 39379, 26, 784, 30, 5759, 711, 291, 415, 5759, 438, 1665, 44, 324, 442, 2933, 291, 12899, 30, 8117, 280, 5759, 30, 5759, 291, 2218, 8117, 32, 1978, 461, 8117, 32, 1978, 32, 1978, 44, 324, 12899, 280, 12899, 32, 1978, 324, 8117, 280, 8117, 32, 1978, 32, 1978, 291, 3100, 280, 12899, 32, 1978, 291, 298, 280, 3100, 291, 1459, 330, 20157, 330, 474, 596, 26, 20157, 32, 695, 27, 291, 2218, 298, 44, 324, 1459, 298, 32, 695, 324, 298, 280, 298, 32, 1978, 291, 343, 4714, 280, 28168, 26, 34, 27, 291, 343, 4714, 32, 1978, 280, 5759, 291, 2218, 5759, 32, 1978, 44, 324, 415, 8117, 32, 1978, 461, 5759, 32, 1978, 610, 3100, 44, 400, 5759, 32, 1978, 280, 1665, 400, 1626, 324, 415, 646, 8117, 32, 1978, 461, 5759, 32, 1978, 610, 12899, 44, 400, 5759, 32, 1978, 280, 1665, 400, 1626, 324, 3691, 280, 5759, 32, 1978, 324, 5759, 32, 1978, 280, 3691, 32, 1978, 324, 3691, 32, 1978, 280, 343, 4714, 32, 1978, 324, 343, 4714, 32, 1978, 280, 3691, 291, 1932, 280, 343, 4714, 32, 1978, 291, 298, 280, 1932, 291, 1459, 291, 2218, 298, 44, 324, 1459, 298, 32, 695, 324, 298, 280, 298, 32, 1978, 291, 2218, 1932, 461, 3100, 44, 324, 415, 1932, 32, 695, 863, 3100, 32, 695, 44, 400, 442, 3177, 324, 1932, 280, 1932, 32, 1978, 324, 3100, 280, 3100, 32, 1978, 291, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 1, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 4, 4, 7, 7, 6, 6, 7, 7, 4, 4, 5, 7, 8, 6, 6, 8, 9, 7, 8, 5, 5, 5, 8, 8, 9, 10, 6, 6, 8, 8, 10, 11, 9, 10, 4, 4, 6, 6, 7, 8, 4, 4, 6, 6, 4, 4, 5, 8, 8, 6, 6, 8, 10, 9, 10, 8, 4, 4, 5, 5, 5, 5, 7, 8, 9, 6, 6, 8, 8, 9, 10, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 8, 7, 8, 6, 6, 4, 4, 5, 6, 7, 5, 5, 5, 7, 9, 10, 8, 8, 10, 11, 9, 9, 7, 7, 7, 11, 12, 10, 10, 8, 8, 6, 6, 7, 9, 10, 11, 8, 8, 10, 11, 9, 9, 7, 7, 7, 11, 12, 10, 10, 8, 8, 6, 6, 8, 8, 9, 10, 6, 6, 9, 10, 8, 8, 9, 10, 6, 6, 9, 10, 8, 8, 10, 9, 10, 6, 6, 10, 9, 10, 8, 8, 4, 4, 6, 6, 8, 7, 8, 4, 4, 6, 6, 4, 4, 4, 4, 5, 5, 5, 5, 7, 8, 9, 6, 6, 8, 8, 9, 10, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 10, 8, 8, 9, 10, 7, 7, 7, 9, 6, 6, 8, 8, 9, 10, 6, 6, 8, 8, 9, 10, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 4, 4, 5, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 6, 6, 6, 6, 0, 1, 2, 3, 3, 0, 0, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 0, 0, 4, 4, 9, 1, 2, 9, 9, 9, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 3, 3, 3, 3, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 3, 3, 3, 3, 0, 0, 2, 2, 3, 3, 0, 2, 0, 0, 2, 2, 3, 3, 0, 2, 0, 0, 0, 2, 2, 3, 3, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 4, 4, 4, 4, 13, 13, 13, 13, 0, 1, 2, 3, 3, 0, 0, 2, 2, 4, 4, 14, 1, 1, 14, 14, 14, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 2, 2, 3, 3, 0, 0, 2, 2, 4, 4, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15390, 605, 203, 465, 316, 203, 1070, 1692, 17095, 1188, 16720, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 9941, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 3634, 81, 4770, 203, 1070, 8527, 81, 23819, 32, 4151, 1188, 25243, 203, 4975, 81, 24222, 81, 27725, 81, 8055, 81, 2474, 280, 1044, 25, 16520, 32, 496, 32, 3550, 32, 8968, 25, 203, 589, 622, 81, 8968, 81, 4151, 81, 2665, 26, 2386, 30, 1542, 81, 823, 711, 284, 1596, 44, 291, 3610, 81, 1160, 280, 1542, 81, 823, 32, 5740, 32, 371, 26, 3174, 47, 2386, 32, 3174, 27, 284, 2940, 1542, 81, 823, 32, 34747, 44, 291, 442, 2149, 284, 813, 44, 291, 1600, 81, 4243, 280, 428, 88, 32, 426, 436, 296, 328, 1542, 81, 823, 1114, 2859, 32, 371, 81, 4151, 346, 415, 646, 296, 32, 297, 81, 12610, 79, 41690, 5372, 81, 4151, 280, 301, 324, 1600, 81, 426, 44, 18623, 26, 1455, 81, 1160, 30, 1600, 81, 426, 27, 436, 1600, 81, 426, 328, 1600, 81, 4243, 324, 415, 18623, 26, 1455, 81, 1160, 30, 1600, 81, 426, 27, 863, 18623, 26, 2386, 30, 1600, 81, 426, 27, 291, 320, 291, 442, 5372, 81, 4151, 203, 589, 9533, 81, 1495, 81, 8968, 81, 5057, 26, 2386, 30, 1256, 30, 3082, 81, 1274, 30, 26247, 81, 4151, 47, 2521, 30, 6826, 81, 4151, 47, 2521, 711, 284, 665, 5063, 81, 1495, 26, 1495, 81, 426, 30, 786, 711, 291, 415, 1600, 81, 426, 328, 6826, 81, 4151, 44, 324, 442, 1665, 291, 415, 6937, 26, 853, 30, 25243, 711, 324, 415, 786, 32, 687, 44, 400, 442, 786, 32, 687, 324, 813, 44, 400, 442, 1665, 291, 442, 786, 284, 26247, 81, 4151, 280, 26247, 81, 4151, 556, 1605, 284, 6826, 81, 4151, 280, 6826, 81, 4151, 556, 1605, 284, 5372, 81, 4151, 280, 18623, 26, 2386, 30, 7610, 8968, 81, 4151, 370, 12797, 284, 436, 1600, 81, 426, 328, 5372, 81, 4151, 44, 291, 415, 1600, 81, 426, 646, 328, 26247, 81, 4151, 44, 324, 3610, 81, 853, 280, 5063, 81, 1495, 26, 1495, 81, 426, 30, 5372, 81, 4151, 77, 1495, 81, 426, 1130, 324, 537, 81, 853, 280, 5063, 81, 1495, 26, 1495, 81, 426, 30, 18623, 26, 2386, 30, 1600, 81, 426, 490, 324, 9533, 81, 8126, 81, 8968, 81, 1567, 26, 496, 30, 3082, 81, 1274, 30, 1600, 81, 426, 30, 3610, 81, 853, 30, 537, 81, 853, 27, 284, 415, 19326, 26, 2386, 30, 7610, 8968, 81, 4151, 7831, 291, 3555, 1980, 1114, 8968, 81, 4151, 203, 589, 32050, 81, 4151, 26, 1455, 81, 853, 30, 537, 81, 853, 711, 284, 1769, 81, 853, 81, 1322, 280, 4070, 32, 25985, 81, 3459, 81, 8055, 517, 225, 38, 284, 14300, 81, 1455, 81, 853, 30, 3610, 81, 14499, 81, 359, 13209, 280, 617, 371, 81, 359, 13209, 81, 8126, 81, 853, 26, 1455, 81, 853, 30, 1769, 81, 1322, 47, 1449, 81, 853, 81, 1322, 27, 284, 14300, 81, 890, 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, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 7, 7, 6, 6, 10, 10, 9, 10, 8, 9, 8, 10, 9, 11, 10, 11, 8, 3, 3, 4, 6, 6, 5, 6, 4, 4, 4, 6, 3, 3, 4, 4, 4, 8, 8, 7, 7, 10, 9, 10, 8, 9, 9, 9, 13, 13, 12, 13, 11, 12, 12, 12, 11, 8, 9, 10, 11, 12, 12, 12, 8, 5, 5, 8, 8, 7, 7, 8, 8, 10, 10, 9, 9, 11, 12, 12, 12, 11, 11, 12, 12, 11, 8, 9, 10, 10, 9, 9, 10, 10, 8, 8, 9, 12, 13, 13, 13, 12, 12, 13, 13, 12, 10, 10, 12, 13, 12, 12, 13, 13, 12, 8, 8, 5, 5, 6, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 7, 7, 6, 6, 7, 7, 5, 5, 5, 7, 4, 4, 5, 7, 8, 7, 7, 7, 5, 5, 7, 8, 9, 7, 7, 7, 9, 10, 11, 7, 7, 8, 8, 8, 10, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 6, 8, 8, 8, 8, 6, 2, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 5, 7, 7, 6, 6, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 10, 10, 11, 11, 11, 10, 10, 12, 12, 11, 12, 12, 12, 11, 6, 6, 9, 9, 8, 8, 10, 10, 10, 11, 11, 11, 10, 10, 12, 13, 12, 12, 13, 13, 12, 6, 6, 9, 9, 9, 9, 9, 9, 9, 10, 9, 9, 10, 10, 9, 9, 10, 10, 9, 9, 10, 10, 9, 9, 10, 10, 9, 2, 2, 3, 5, 6, 5, 5, 7, 7, 7, 7, 3, 3, 5, 6, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 5, 5, 6, 2, 2, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 8, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 6, 6, 6 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 3, 0, 0, 1, 2, 3, 3, 3, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 2, 2, 2, 2, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 2, 0, 0, 9, 2, 2, 9, 9, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 4, 4, 4, 0, 4, 4, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 4, 1, 1, 4, 4, 3, 3, 4, 4, 4, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 1, 2, 2, 2, 0, 10, 10, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0 ]
[ 465, 10020, 203, 465, 13625, 203, 465, 1619, 1356, 203, 465, 7138, 203, 465, 19493, 203, 465, 35094, 203, 465, 622, 4617, 203, 465, 17787, 203, 465, 5741, 203, 465, 18346, 2516, 203, 465, 2322, 203, 465, 25679, 203, 465, 3995, 203, 465, 316, 203, 465, 5237, 203, 465, 29590, 203, 465, 26313, 203, 465, 1133, 203, 465, 27374, 203, 465, 1984, 2208, 203, 465, 11685, 203, 1070, 36252, 1188, 1544, 1180, 37, 36, 203, 465, 28835, 32, 1262, 203, 465, 29252, 331, 2323, 36, 203, 465, 4281, 1260, 203, 465, 10381, 93, 39583, 32, 12023, 32, 18780, 203, 465, 10381, 93, 39583, 32, 605, 25078, 203, 465, 10381, 93, 39583, 32, 11452, 203, 465, 10381, 93, 39583, 32, 1696, 203, 465, 10381, 93, 39583, 32, 15753, 203, 465, 10381, 93, 39583, 32, 34745, 203, 465, 10381, 93, 39583, 32, 46674, 203, 1070, 10381, 93, 39583, 32, 46674, 1188, 9804, 81, 761, 203, 1270, 44, 284, 1188, 9661, 1040, 203, 7343, 29986, 44, 284, 9661, 1040, 280, 1665, 203, 465, 3089, 749, 98, 203, 1070, 3089, 749, 98, 1188, 28135, 527, 4975, 81, 779, 203, 1070, 3089, 749, 98, 32, 2122, 32, 1786, 1188, 4117, 81, 1338, 203, 1070, 3089, 749, 98, 32, 2122, 1188, 7663, 30, 1542, 619, 2719, 81, 1160, 203, 1070, 3089, 749, 98, 32, 4280, 32, 1298, 1188, 13671, 81, 2433, 203, 1070, 3089, 749, 98, 32, 4280, 1188, 1044, 466, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 8358, 81, 1357, 280, 5741, 32, 10579, 4064, 426, 505, 474, 5608, 8358, 32, 1357, 683, 203, 8358, 81, 1986, 280, 5741, 32, 10579, 4064, 426, 505, 474, 5608, 8358, 32, 1986, 683, 203, 14673, 81, 14905, 280, 225, 40, 34, 319, 225, 40, 34, 319, 225, 36, 38, 319, 225, 41, 203, 81, 1357, 81, 3034, 280, 10381, 93, 39583, 32, 1696, 32, 3325, 3113, 346, 203, 1357, 280, 617, 1357, 81, 3034, 346, 203, 589, 7084, 81, 1357, 81, 2895, 26, 1132, 711, 284, 415, 2069, 26, 1132, 27, 848, 225, 36, 44, 291, 2181, 280, 1149, 26, 1132, 27, 291, 2181, 77, 36, 79, 280, 32448, 284, 442, 8825, 26, 1132, 27, 203, 2576, 81, 3705, 22123, 1713, 63, 280, 308, 520, 749, 98, 32, 500, 104, 32, 494, 32, 7343, 81, 494, 30, 353, 3089, 749, 98, 32, 11452, 32, 2791, 924, 30, 353, 3089, 749, 98, 32, 11452, 32, 2791, 27209, 30, 353, 3089, 749, 98, 32, 11452, 32, 5711, 30, 353, 3089, 749, 98, 32, 11452, 32, 11445, 5711, 27, 203, 589, 7520, 81, 8358, 26, 2122, 81, 426, 30, 1411, 30, 2803, 711, 284, 1596, 44, 291, 16215, 81, 1357, 81, 4555, 280, 16215, 81, 1357, 32, 30711, 1562, 26, 7490, 32, 2897, 27, 291, 16215, 81, 1986, 81, 4555, 280, 16215, 81, 1986, 32, 30711, 1562, 26, 7490, 32, 2897, 27, 291, 415, 16215, 81, 1357, 81, 4555, 556, 16215, 81, 1986, 81, 4555, 44, 324, 1477, 81, 1003, 280, 1133, 32, 1003, 346, 324, 1477, 81, 17260, 30, 1477, 81, 41823, 280, 225, 34, 30, 225, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 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, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 3, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 5, 5, 7, 7, 7, 7, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 5, 5, 7, 7, 7, 7, 0, 3, 3, 3, 2, 2, 6, 6, 5, 5, 6, 6, 4, 4, 5, 5, 3, 3, 4, 0, 3, 3, 3, 3, 2, 2, 6, 6, 5, 6, 4, 5, 5, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 6, 6, 2, 2, 3, 5, 6, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 7, 7, 7, 6, 7, 7, 5, 6, 4, 5, 5, 5, 3, 3, 3, 6, 6, 5, 6, 4, 5, 5, 3, 3, 3, 6, 6, 5, 6, 4, 5, 5, 3, 3, 3, 6, 6, 5, 6, 4, 5, 3, 3, 3, 6, 6, 5, 6, 4, 5, 5, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 6, 6, 10, 10, 9, 9, 10, 10, 8, 8, 10, 9, 9, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 14, 14, 0, 15, 15, 0, 16, 16, 0, 17, 17, 0, 18, 18, 0, 19, 19, 0, 0, 20, 20, 0, 21, 21, 21, 21, 0, 0, 0, 0, 22, 22, 1, 2, 0, 23, 23, 0, 0, 0, 0, 24, 24, 0, 0, 25, 25, 0, 0, 1, 2, 1, 4, 0, 26, 26, 0, 0, 1, 2, 2, 0, 27, 27, 0, 0, 1, 2, 0, 28, 28, 0, 0, 1, 2, 0, 29, 29, 0, 0, 1, 2, 0, 30, 30, 0, 0, 1, 2, 0, 31, 31, 0, 0, 1, 2, 0, 32, 32, 0, 0, 1, 2, 32, 32, 0, 0, 0, 33, 33, 33, 33, 0, 0, 33, 3, 3, 3, 3, 3, 0, 0, 0, 0, 34, 34, 0, 0, 0, 35, 35, 0, 0, 35, 35, 0, 0, 0, 0, 0, 36, 36, 0, 0, 1, 2, 1, 4, 36, 36, 0, 0, 0, 37, 37, 0, 0, 1, 2, 37, 37, 37, 37, 5, 5, 2, 2, 0, 38, 38, 0, 0, 1, 2, 1, 4, 38, 38, 0, 0, 0, 39, 39, 0, 0, 1, 2, 39, 39, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 46, 46, 1, 1, 1, 1, 2, 1, 2, 46, 46, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 3, 2, 2, 2, 2, 2, 0, 0, 0, 2, 5, 2, 2, 2, 2, 2, 0, 0, 0, 2, 7, 2, 2, 2, 2, 0, 0, 0, 2, 9, 2, 2, 2, 0, 48, 48, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 48, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2 ]
[ 465, 6445, 1865, 203, 465, 20161, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 17311, 639, 278, 1114, 8524, 1188, 3960, 368, 203, 1070, 17311, 639, 278, 32, 9769, 1188, 438, 81, 998, 444, 30, 438, 81, 27816, 203, 1070, 17311, 639, 278, 32, 1581, 1188, 399, 11413, 1438, 203, 1070, 17311, 639, 278, 32, 8352, 1188, 3772, 652, 30, 438, 81, 800, 203, 505, 464, 505, 280, 2107, 3271, 101, 13976, 785, 203, 823, 3175, 101, 13976, 26, 1473, 711, 284, 665, 1201, 8039, 26, 784, 30, 2793, 30, 3124, 47, 2521, 711, 291, 415, 3124, 438, 1665, 44, 324, 3124, 280, 5461, 100, 438, 646, 5040, 372, 5934, 20, 904, 308, 2669, 21713, 291, 630, 32, 5299, 26, 34, 30, 2793, 30, 3124, 47, 2076, 27, 284, 665, 1201, 2766, 26, 784, 30, 2793, 30, 3124, 47, 2521, 711, 291, 415, 438, 81, 998, 444, 26, 2669, 711, 324, 4909, 1641, 280, 2069, 26, 2669, 27, 848, 225, 34, 291, 813, 44, 324, 415, 646, 438, 81, 27816, 26, 2669, 711, 400, 630, 3667, 5066, 26, 2076, 30, 5461, 100, 438, 646, 600, 27182, 20, 904, 308, 2669, 33702, 324, 4909, 1641, 280, 3177, 324, 436, 617, 328, 2793, 44, 400, 4909, 1641, 280, 2933, 400, 1626, 291, 415, 4909, 1641, 44, 324, 630, 3667, 5066, 26, 2076, 30, 5461, 100, 438, 646, 3502, 20, 904, 308, 2669, 33702, 284, 665, 1201, 17437, 26, 784, 30, 2793, 30, 3124, 47, 2521, 711, 291, 415, 438, 81, 998, 444, 26, 2669, 711, 324, 3502, 280, 2069, 26, 2669, 27, 610, 225, 34, 291, 813, 44, 324, 415, 646, 438, 81, 27816, 26, 2669, 711, 400, 630, 3667, 5066, 26, 2076, 30, 5461, 100, 438, 646, 600, 27182, 20, 904, 308, 2669, 33702, 324, 3502, 280, 2933, 324, 436, 617, 328, 2793, 44, 400, 3502, 280, 3177, 400, 1626, 291, 415, 3502, 44, 324, 630, 3667, 5066, 26, 2076, 30, 5461, 100, 438, 3502, 20, 904, 308, 2669, 33702, 284, 665, 1201, 28582, 26, 784, 30, 5202, 30, 802, 30, 3124, 47, 2521, 711, 291, 630, 3667, 5066, 81, 23437, 81, 8352, 26, 4254, 27, 291, 630, 32, 25839, 1810, 26, 800, 30, 3772, 652, 27, 291, 415, 646, 802, 32, 15990, 26, 4254, 711, 324, 630, 3667, 5066, 26, 2076, 30, 5461, 100, 1957, 646, 1477, 623, 904, 100, 20, 904, 308, 800, 30, 5202, 490, 284, 665, 1201, 44147, 26, 784, 30, 12809, 30, 802, 30, 3124, 47, 2521, 711, 291, 630, 3667, 5066, 81, 23437, 81, 8352, 26, 12420, 27, 291, 630, 32, 25839, 1810, 26, 800, 30, 3772, 652, 27, 291, 415, 646, 802, 32, 20643, 26, 12420, 711, 324, 630, 3667, 5066, 26, 2076, 30, 5461, 100, 1957, 646, 943, 623, 904, 100, 20, 904, 308, 800, 30, 12809, 490, 284, 665, 1201, 1622, 44114, 26, 784, 30, 443, 3739, 37475, 30, 3124, 47, 2521, 711, 291, 436, 281, 328, 308, 823, 3739, 37475, 711, 324, 415, 646, 6937, 26, 85, 30, 827, 711, 400, 630, 32, 5066, 4912, 100, 438, 646, 312, 443, 20, 904, 308, 85, 33702, 291, 415, 646, 438, 39288, 26, 823, 3739, 37475, 711, 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, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 7, 7, 7, 8, 7, 5, 5, 9, 8, 8, 11, 12, 11, 9, 9, 10, 5, 5, 6, 6, 6, 8, 9, 11, 11, 11, 12, 11, 8, 8, 12, 13, 12, 13, 12, 12, 15, 15, 15, 15, 15, 15, 13, 13, 15, 14, 7, 7, 10, 9, 9, 7, 7, 8, 8, 8, 8, 8, 8, 12, 11, 11, 9, 9, 4, 4, 5, 6, 5, 5, 5, 9, 10, 9, 10, 9, 9, 12, 12, 12, 12, 12, 10, 10, 12, 11, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 7, 7, 7, 8, 7, 5, 5, 8, 8, 11, 12, 11, 9, 9, 10, 5, 5, 6, 6, 6, 8, 9, 11, 11, 11, 12, 11, 8, 8, 12, 13, 12, 13, 12, 12, 15, 15, 15, 15, 15, 15, 13, 13, 15, 14, 7, 7, 9, 9, 7, 7, 8, 8, 8, 8, 8, 8, 11, 11, 9, 9, 4, 4, 5, 5, 5, 5, 9, 10, 9, 10, 9, 9, 12, 12, 12, 12, 10, 10, 12, 11, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 7, 7, 8, 7, 4, 4, 5, 6, 8, 9, 8, 9, 8, 5, 5, 9, 10, 9, 10, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 11, 11, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 8, 7, 7, 8, 7, 4, 4, 5, 6, 8, 9, 8, 9, 8, 5, 5, 9, 10, 9, 10, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 11, 11, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 7, 7, 6, 6, 5, 5, 7, 8, 10, 11, 10, 10, 10, 7, 7, 11, 12, 11, 14, 14, 14, 14, 14, 14, 12, 12, 14, 13, 4, 4, 5, 6, 8, 8, 9, 9, 8, 8, 5 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 4, 4, 4, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 5, 5, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 4, 4, 4, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 5, 5, 4, 4, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 2, 2, 4, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 2, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 7, 2, 2, 5, 5, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 1, 0, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1933, 1188, 28667, 203, 1070, 638, 14565, 24971, 1188, 19120, 81, 14565, 81, 35, 34, 34, 93, 203, 1070, 638, 15378, 81, 14565, 24971, 1188, 19120, 81, 14565, 81, 15378, 81, 35, 34, 34, 93, 203, 1070, 638, 359, 325, 412, 83, 1188, 308, 284, 1224, 4112, 68, 3198, 1006, 39465, 30, 284, 5532, 81, 14565, 81, 359, 325, 412, 83, 81, 35, 34, 34, 93, 30, 284, 19120, 81, 14565, 81, 359, 325, 412, 83, 81, 35, 34, 34, 93, 30, 203, 27, 203, 6917, 81, 3585, 81, 858, 81, 1132, 280, 5436, 26, 284, 1769, 81, 7439, 47, 35, 34, 34, 30, 284, 38276, 81, 823, 47, 61, 4112, 68, 3198, 1006, 39465, 30, 284, 38276, 81, 22672, 81, 1132, 47, 2665, 26, 291, 1847, 81, 6917, 47, 34, 32, 34, 34, 34, 35, 30, 291, 1769, 81, 6917, 47, 34, 32, 34, 39, 30, 291, 894, 81, 2816, 347, 8362, 392, 291, 30877, 81, 1160, 81, 4243, 81, 271, 81, 8478, 6020, 324, 2430, 18580, 33, 2312, 101, 33, 4295, 33, 34038, 31, 3378, 33, 47718, 31, 1696, 33, 14565, 81, 35, 4537, 392, 291, 2505, 284, 2588, 284, 18188, 81, 2024, 81, 1515, 47, 1815, 30, 284, 745, 81, 6569, 47, 1815, 30, 203, 27, 203, 20259, 81, 14565, 81, 35, 36, 39, 81, 11650, 81, 15216, 81, 1132, 280, 5436, 26, 284, 6826, 81, 891, 47, 35, 40, 34, 30, 284, 23124, 81, 891, 47, 40, 38, 34, 30, 284, 309, 15885, 543, 47, 34, 32, 42, 38, 37, 30, 284, 309, 15885, 1147, 81, 464, 81, 32615, 47, 2700, 30, 203, 27, 203, 20259, 81, 14565, 81, 35, 39, 34, 81, 11650, 81, 15216, 81, 1132, 280, 5436, 26, 284, 6826, 81, 891, 47, 35, 43, 36, 30, 284, 23124, 81, 891, 47, 41, 40, 42, 30, 284, 309, 15885, 543, 47, 34, 32, 42, 41, 36, 30, 284, 309, 15885, 1147, 81, 464, 81, 32615, 47, 2700, 30, 203, 27, 203, 20259, 81, 14565, 81, 36, 34, 34, 81, 11650, 81, 15216, 81, 1132, 280, 5436, 26, 284, 6826, 81, 891, 47, 36, 39, 40, 30, 284, 23124, 81, 891, 47, 35, 34, 36, 38, 30, 284, 309, 15885, 543, 47, 34, 32, 43, 34, 42, 37, 30, 284, 309, 15885, 1147, 81, 464, 81, 32615, 47, 2700, 30, 203, 27, 203, 20259, 81, 14565, 81, 38, 42, 41, 81, 11650, 81, 15216, 81, 1132, 280, 5436, 26, 284, 6826, 81, 891, 47, 40, 36, 38, 30, 284, 23124, 81, 891, 47, 36, 38, 43, 40, 30, 284, 309, 15885, 1147, 81, 464, 81, 32615, 47, 2700, 30, 203, 27, 203, 20259, 81, 14565, 81, 35, 36, 39, 81, 16340, 81, 15216, 81, 35, 34, 34, 93, 280, 28667, 26, 20259, 81, 14565, 81, 35, 34, 34, 93, 27, 203, 20259, 81, 14565, 81, 35, 36, 39, 81, 16340, 81, 15216, 81, 35, 34, 34, 93, 1365, 1163, 81, 5321, 6494, 1877, 26, 284, 1115, 20259, 81, 14565, 81, 35, 36, 39, 81, 11650, 81, 15216, 81, 1132, 30, 203, 27, 203, 20259, 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, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 5, 7, 7, 7, 7, 9, 9, 8, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 9, 7, 7, 7, 9, 9, 8, 10, 10, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 7, 7, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 4, 6, 6, 5, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 4, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 5, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 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, 1, 1, 0, 0, 0, 0, 7, 2, 1, 1, 1, 0, 0, 9, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 7, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 7, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 7, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 5, 2, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ 1070, 540, 12699, 32, 1240, 7167, 2732, 1188, 2680, 7167, 2732, 203, 1070, 1869, 329, 393, 3724, 32, 2282, 1188, 25359, 203, 1070, 1869, 329, 393, 3724, 32, 2282, 32, 100, 12699, 1335, 1188, 1245, 81, 2811, 203, 1070, 1869, 329, 393, 3724, 32, 2282, 32, 100, 12699, 984, 1188, 540, 12699, 12349, 203, 823, 3772, 4045, 7845, 44, 284, 665, 1156, 1664, 3207, 784, 30, 3616, 711, 291, 630, 32, 2111, 81, 4254, 280, 313, 74, 31, 68, 20429, 31, 7845, 20, 291, 630, 32, 731, 81, 2111, 81, 4254, 280, 330, 74, 31, 68, 20429, 31, 7845, 31, 924, 25, 291, 630, 32, 4254, 280, 330, 100, 12699, 33, 6319, 25, 291, 630, 32, 297, 81, 1855, 280, 225, 34, 291, 630, 32, 2808, 81, 1320, 81, 983, 280, 1665, 291, 630, 32, 1320, 81, 983, 280, 1665, 291, 630, 32, 3648, 81, 4151, 280, 428, 324, 313, 4045, 31, 558, 392, 324, 313, 4045, 31, 2062, 392, 324, 313, 4045, 31, 5813, 392, 324, 313, 4045, 31, 7866, 392, 324, 313, 974, 31, 26080, 392, 324, 313, 974, 31, 26080, 31, 620, 392, 291, 1481, 291, 630, 32, 1495, 81, 605, 280, 2680, 7167, 2732, 346, 291, 630, 32, 1088, 81, 314, 280, 1665, 284, 665, 3338, 2825, 1972, 26, 784, 30, 3616, 711, 291, 1245, 81, 2811, 26, 37, 30, 313, 1868, 392, 3616, 32, 1959, 27, 291, 3523, 81, 2111, 280, 5461, 101, 9299, 101, 20, 904, 308, 784, 32, 2111, 81, 4254, 30, 313, 2681, 31, 3135, 657, 291, 8735, 39, 1036, 81, 2111, 280, 5461, 101, 9299, 101, 20, 904, 308, 784, 32, 2111, 81, 4254, 30, 313, 974, 31, 5108, 39, 1036, 657, 291, 415, 3616, 32, 5078, 81, 266, 32, 2040, 81, 678, 26, 954, 39, 1036, 81, 2111, 711, 324, 3616, 32, 5078, 81, 266, 1365, 23, 101, 9299, 101, 20, 904, 308, 784, 32, 2111, 81, 4254, 30, 313, 974, 31, 26080, 31, 620, 3830, 280, 330, 954, 39, 25, 324, 3616, 32, 5078, 81, 266, 1365, 23, 101, 9299, 101, 20, 904, 308, 784, 32, 2111, 81, 4254, 30, 313, 974, 31, 26080, 3830, 280, 766, 715, 3616, 32, 5078, 81, 266, 77, 954, 39, 1036, 81, 2111, 79, 291, 436, 296, 328, 630, 32, 3648, 81, 4151, 44, 324, 42094, 280, 5461, 101, 9299, 101, 20, 904, 308, 784, 32, 2111, 81, 4254, 30, 296, 27, 324, 415, 646, 3616, 32, 5078, 81, 266, 32, 2040, 81, 678, 26, 22540, 711, 400, 415, 296, 610, 313, 2681, 20, 461, 646, 3616, 32, 5078, 81, 266, 32, 2040, 81, 678, 26, 2848, 81, 2111, 711, 528, 1245, 81, 2811, 26, 38, 30, 313, 5413, 1600, 904, 101, 5816, 20, 904, 296, 27, 528, 3636, 540, 12699, 12349, 26, 39, 34, 34, 30, 296, 27, 400, 4348, 296, 610, 313, 2681, 20, 461, 3616, 32, 5078, 81, 266, 32, 2040, 81, 678, 26, 2848, 81, 2111, 711, 528, 630, 32, 1495, 81, 605, 1365, 2681, 31, 3135, 1446, 280, 3616, 32, 5078, 81, 266, 77, 2848, 81, 2111, 79, 528, 4036 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 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, 9, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 8, 7, 7, 9, 9, 7, 8, 9, 7, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 9, 9, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 5, 5, 10, 11, 11, 11, 9, 12, 12, 12, 12, 12, 10, 10, 13, 12, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 8, 8, 10, 10, 10, 6, 6, 10, 11, 11, 11, 9, 12, 12, 12, 12, 12, 10, 10, 13, 12, 13, 13, 13, 11, 11, 13, 13, 13, 13, 8, 8, 9, 8, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 9, 4, 4, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 11, 11, 11, 11, 9, 9, 12, 11, 12, 12, 12, 10, 10, 10, 6, 6, 7, 8, 11, 12, 12, 12, 10, 11, 11, 11, 10, 11, 10, 7, 7, 9, 11, 11, 13, 13, 10, 10, 11, 14, 15, 15, 15, 13, 14, 14, 14, 13, 14, 14, 14, 13, 9, 9, 13, 13, 13, 14, 13, 13, 16, 16, 16, 16, 16, 16, 14, 14, 13, 10, 10, 11, 13, 13, 13, 14, 14, 14, 13, 13, 13, 9, 9, 10, 12, 12, 14, 14, 11, 11, 14, 15, 15, 15, 13, 14, 14, 14, 13, 14, 14, 14, 13, 10, 10, 15, 16, 16, 16, 14, 16, 16, 16, 16, 13, 13, 15, 16, 16, 16, 14, 15, 15, 15, 14, 11, 11 ]
[ 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 4, 4, 1, 1, 4, 4, 4, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 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, 1, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 3, 2, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 5, 5, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3 ]
[ 1070, 15306, 1867, 32, 12329, 32, 1001, 15504, 81, 7133, 1188, 447, 4738, 97, 9824, 203, 1070, 15306, 1867, 32, 18246, 32, 1553, 81, 2989, 1188, 3456, 7145, 30, 3846, 2140, 7145, 30, 21617, 2140, 7145, 203, 1070, 15306, 1867, 32, 2304, 32, 28497, 1188, 4871, 81, 10514, 203, 823, 447, 4738, 97, 2140, 7145, 26, 2140, 7145, 711, 284, 477, 4699, 81, 10514, 284, 665, 1156, 1664, 3207, 324, 630, 30, 5552, 30, 324, 1406, 15504, 81, 3781, 81, 314, 1057, 1001, 15504, 81, 1536, 370, 324, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 2626, 15504, 2140, 7145, 30, 630, 14585, 1664, 3207, 2602, 47, 2602, 30, 319, 1132, 30, 1115, 5321, 27, 291, 630, 32, 1001, 15504, 81, 3781, 81, 314, 280, 1406, 15504, 81, 3781, 81, 314, 291, 630, 32, 2602, 280, 5552, 284, 665, 622, 81, 1199, 81, 7133, 26, 784, 711, 291, 442, 447, 4738, 97, 9824, 26, 1001, 15504, 81, 3781, 81, 314, 47, 784, 32, 1001, 15504, 81, 3781, 81, 314, 27, 203, 823, 447, 4738, 97, 882, 2140, 7145, 26, 882, 2140, 7145, 711, 284, 477, 4699, 81, 10514, 284, 665, 1156, 1664, 3207, 324, 630, 30, 5552, 30, 3097, 81, 853, 30, 26434, 47, 2521, 30, 324, 1406, 15504, 81, 3781, 81, 314, 1057, 1001, 15504, 81, 1536, 370, 324, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 2626, 15504, 882, 2140, 7145, 30, 630, 14585, 1664, 3207, 324, 5552, 47, 2602, 30, 3097, 81, 853, 47, 4617, 81, 853, 30, 26434, 47, 37159, 30, 324, 319, 1132, 30, 1115, 5321, 27, 291, 630, 32, 1001, 15504, 81, 3781, 81, 314, 280, 1406, 15504, 81, 3781, 81, 314, 284, 665, 622, 81, 1199, 81, 7133, 26, 784, 711, 291, 442, 447, 4738, 97, 9824, 26, 1001, 15504, 81, 3781, 81, 314, 47, 784, 32, 1001, 15504, 81, 3781, 81, 314, 27, 203, 823, 447, 4738, 97, 5757, 2140, 7145, 26, 5757, 2140, 7145, 711, 284, 477, 4699, 81, 10514, 284, 665, 1156, 1664, 3207, 324, 630, 30, 1858, 30, 8607, 81, 10402, 101, 30, 324, 2340, 81, 2029, 81, 2592, 1057, 3210, 370, 6935, 81, 975, 6593, 41, 30, 324, 1406, 15504, 81, 3781, 81, 314, 1057, 1001, 15504, 81, 1536, 370, 324, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 2626, 15504, 5757, 2140, 7145, 30, 630, 14585, 1664, 3207, 324, 1858, 47, 1274, 30, 8607, 81, 10402, 101, 47, 7982, 81, 10402, 101, 30, 324, 2340, 81, 2029, 81, 2592, 47, 770, 81, 2029, 81, 2592, 30, 6935, 81, 975, 47, 6124, 81, 975, 30, 324, 319, 1132, 30, 1115, 5321, 27, 291, 630, 32, 1001, 15504, 81, 3781, 81, 314, 280, 1406, 15504, 81, 3781, 81, 314, 284, 665, 622, 81, 1199, 81, 7133, 26, 784, 711, 291, 442, 447, 4738, 97, 9824, 26, 1001, 15504, 81, 3781, 81, 314, 47, 784, 32, 1001, 15504, 81, 3781, 81, 314, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 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, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 5, 5, 7, 5, 5, 7, 5, 4, 4, 10, 11, 11, 11, 11, 10, 10, 10, 9, 9, 10, 9, 10, 8, 8, 10, 8, 8, 10, 8, 5, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 5, 5, 8, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 6, 7, 5, 5, 5, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 5, 5, 7, 5, 5, 7, 5, 4, 4, 10, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 8, 8, 9, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 8, 8, 10, 8, 8, 10, 8, 5, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 6, 8, 8, 5, 7, 7, 6, 8, 5, 5, 5, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 5, 5, 7, 5, 5, 7, 5, 4, 4, 10, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 8, 8, 9, 10, 8, 8, 10, 10, 10, 9, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 8, 8, 10, 8, 5, 5, 8, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 10, 10, 10, 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 ]
[ 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 2, 2, 7, 2, 2, 2, 2, 0, 0, 0, 0, 0, 9, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 2, 2, 2, 0, 0, 0, 0, 7, 1, 2, 2, 0, 0, 9, 1, 2, 2, 2, 0, 0, 0, 0, 0, 11, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 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 ]
[ 1070, 9101, 329, 592, 416, 3876, 32, 1729, 83, 81, 34905, 32, 3378, 1188, 308, 284, 390, 2496, 31503, 565, 30, 284, 390, 2496, 6532, 30, 284, 35252, 565, 2656, 30, 284, 35252, 565, 620, 30, 203, 27, 203, 1070, 9101, 329, 592, 416, 3876, 32, 2304, 32, 7782, 11128, 8543, 1188, 15223, 11128, 81, 8543, 203, 1070, 9101, 329, 592, 416, 3876, 32, 2304, 32, 34243, 2304, 1188, 308, 284, 5692, 1868, 7262, 30, 284, 622, 81, 10513, 81, 1286, 30, 284, 622, 81, 10513, 81, 1286, 81, 965, 30, 203, 27, 203, 1070, 6109, 81, 2846, 32, 34243, 1188, 308, 284, 3678, 7262, 30, 284, 36415, 1868, 1176, 203, 27, 203, 1070, 9101, 329, 592, 416, 3876, 32, 1729, 83, 81, 34905, 32, 1237, 32, 17535, 1729, 24709, 536, 565, 32, 17535, 1729, 24709, 536, 1343, 3824, 9229, 1188, 766, 284, 13234, 81, 1729, 83, 81, 34905, 81, 34243, 203, 17535, 81, 1729, 83, 81, 34905, 81, 34243, 280, 13234, 81, 1729, 83, 81, 34905, 81, 34243, 346, 203, 589, 281, 2496, 81, 34905, 81, 34243, 2262, 284, 443, 390, 2496, 31503, 565, 1761, 7262, 26, 1243, 7262, 711, 291, 443, 11985, 44, 324, 1542, 280, 390, 2496, 31503, 565, 324, 3829, 280, 428, 400, 330, 314, 370, 400, 330, 34905, 81, 687, 370, 400, 330, 1729, 269, 38098, 370, 400, 330, 34905, 2649, 370, 400, 330, 1113, 81, 34905, 81, 2649, 370, 400, 330, 1113, 81, 1113, 34905, 81, 2649, 370, 400, 330, 7390, 370, 400, 330, 19029, 295, 19673, 370, 324, 1481, 284, 443, 390, 2496, 31503, 565, 12338, 1761, 7262, 26, 1243, 7262, 711, 291, 281, 2496, 81, 4661, 81, 965, 280, 36415, 1868, 1176, 346, 291, 18572, 81, 2649, 81, 965, 280, 36415, 1868, 1176, 346, 291, 18572, 81, 681, 81, 965, 280, 36415, 1868, 1176, 346, 291, 13234, 81, 12610, 280, 36415, 1868, 1176, 346, 291, 443, 11985, 44, 324, 1542, 280, 390, 2496, 31503, 565, 324, 3829, 280, 428, 400, 330, 1729, 83, 81, 4661, 81, 965, 370, 400, 330, 34905, 81, 2649, 81, 965, 370, 400, 330, 34905, 81, 681, 81, 965, 370, 400, 330, 17535, 81, 12610, 370, 324, 1481, 284, 443, 390, 2496, 31503, 565, 1176, 1868, 7262, 44, 291, 665, 622, 81, 1729, 83, 81, 4661, 81, 965, 26, 784, 30, 2830, 711, 324, 415, 2830, 32, 1729, 269, 38098, 44, 400, 442, 622, 81, 10513, 81, 1286, 81, 965, 26, 53, 2496, 6532, 30, 2830, 32, 1729, 269, 38098, 32, 314, 27, 291, 665, 622, 81, 34905, 81, 2649, 81, 965, 26, 784, 30, 2830, 711, 324, 415, 2830, 32, 34905, 2649, 44, 400, 442, 622, 81, 10513, 81, 1286, 81, 965, 26, 31503, 565, 2656, 30, 2830, 32, 34905, 2649, 32, 314, 27, 291, 665, 622, 81, 34905, 81, 681, 81, 965, 26, 784, 30, 2830, 711, 324, 415, 2830, 32, 19029, 295, 19673, 44, 400, 442, 622, 81, 10513, 81, 1286, 81, 965, 26, 31503, 565, 620, 30, 2830, 32, 19029, 295, 19673, 32, 314, 27, 291, 665, 622, 81, 17535, 81, 12610, 26, 784, 30, 2830 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 5, 8, 8, 9, 9, 9, 6, 6, 8, 8, 9, 9, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 4, 4, 5, 5, 5, 5, 8, 8, 9, 9, 9, 6, 6, 8, 8, 9, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 7, 8, 9, 9, 9, 7, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 11, 11, 13, 14, 14, 14, 12, 13, 11, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 7, 8, 9, 9, 7, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 11, 11, 13, 14, 14, 12, 13, 11, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5, 7, 8, 9, 9, 9, 7, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 11, 11, 13, 14, 14, 14, 12, 13, 11, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 4, 0, 0, 0, 0, 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, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 4, 1, 6, 6, 6, 6, 6, 1, 8, 8, 8, 8, 8, 8, 8, 4, 4, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 4, 4, 4, 4, 0, 0, 2, 2, 2, 3, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 3, 2, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 1, 3, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2 ]
[ 2897, 280, 2933, 203, 17143, 81, 2897, 280, 9399, 203, 15816, 69, 280, 308, 203, 27, 203, 10656, 1614, 9135, 280, 43101, 69, 203, 1070, 2322, 1188, 16277, 30, 1519, 203, 20528, 69, 280, 301, 284, 330, 1536, 950, 301, 291, 330, 28137, 950, 330, 11025, 32, 1199, 32, 11514, 32, 14107, 37, 370, 4456, 330, 2474, 950, 1519, 32, 2524, 26, 12757, 710, 1696, 725, 605, 2188, 330, 36115, 3196, 3954, 32, 1199, 1425, 7693, 291, 330, 4975, 950, 2550, 7693, 291, 330, 13001, 950, 2550, 6019, 291, 330, 8472, 950, 2550, 7693, 291, 330, 3624, 950, 2550, 7693, 284, 320, 203, 111, 203, 4804, 81, 27368, 280, 330, 29521, 33, 828, 37147, 25, 203, 34801, 81, 3521, 280, 330, 272, 31, 352, 25, 203, 24819, 81, 779, 280, 225, 35, 203, 4855, 81, 59, 35, 42, 64, 280, 2933, 203, 4855, 81, 62, 35, 34, 64, 280, 2933, 203, 21512, 81, 7789, 280, 4247, 203, 21512, 81, 2413, 280, 4247, 203, 14673, 81, 7789, 280, 4247, 203, 14673, 81, 2413, 280, 3056, 1574, 7404, 203, 15816, 81, 21512, 81, 9857, 280, 3056, 1574, 33, 2300, 7404, 203, 14673, 14137, 81, 31254, 280, 308, 203, 27, 203, 14673, 14137, 81, 24714, 9135, 280, 308, 284, 330, 11025, 32, 12023, 32, 1574, 2536, 32, 1809, 483, 32, 13871, 15882, 370, 284, 330, 11025, 32, 12023, 32, 1574, 2536, 32, 1809, 483, 32, 1290, 26084, 15882, 370, 203, 27, 203, 17252, 81, 3307, 280, 25366, 36, 42, 453, 6973, 42, 87, 22, 14265, 81, 34, 42, 4027, 43, 36, 40, 99, 80, 29, 84, 39, 24, 38, 24, 39, 24, 29, 906, 41, 934, 23, 104, 26, 1528, 22, 4866, 21, 10068, 93, 38, 25, 203, 17143, 81, 5696, 9135, 280, 308, 284, 330, 11025, 32, 2387, 32, 38150, 32, 18290, 32, 4888, 370, 284, 330, 11025, 32, 2387, 32, 38150, 32, 725, 81, 24015, 32, 4888, 370, 203, 27, 203, 47589, 35291, 81, 36850, 280, 308, 284, 330, 11025, 32, 11202, 32, 2282, 32, 5240, 11063, 370, 284, 330, 11025, 32, 12023, 32, 18780, 32, 11202, 32, 3135, 11063, 370, 284, 330, 11025, 32, 11202, 32, 14250, 32, 17528, 4918, 1074, 11063, 370, 284, 330, 11025, 32, 12023, 32, 2393, 32, 11202, 32, 8161, 11063, 370, 284, 330, 11025, 32, 12023, 32, 6286, 32, 11202, 32, 1175, 11063, 370, 203, 27, 203, 7789, 81, 2413, 14594, 280, 330, 36115, 3196, 32, 11400, 25, 203, 17143, 81, 31254, 280, 308, 284, 1519, 32, 2524, 26, 983, 32, 7781, 4064, 761, 36762, 330, 15565, 1814, 3227, 40348, 370, 3056, 1425, 203, 27, 203, 6585, 45421, 81, 47406, 280, 308, 284, 330, 11025, 32, 12023, 32, 2393, 370, 284, 330, 11025, 32, 12023, 32, 1286, 2516, 370, 284, 330, 11025, 32, 12023, 32, 18780, 370, 284, 330, 11025, 32, 12023, 32, 12095, 370, 284, 330, 11025, 32, 12023, 32, 6286, 370, 284, 330, 11025, 32, 12023, 32, 1574, 2536, 370, 284, 330, 65, 282, 370, 284, 330, 11025, 32, 12023, 32, 2300, 370, 203, 27, 203, 3602, 32384, 280, 301, 284, 330, 1648, 950, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 9, 8, 10, 9, 11, 11, 11, 11, 8, 10, 10, 10, 10, 10, 10, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 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, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 7, 8, 7, 10, 9, 10, 9, 10, 10, 7, 9, 9, 6, 5, 7, 5, 7, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 2, 2, 2, 1, 2, 11, 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, 2, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 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, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1 ]
[ 9592, 203, 50, 8119, 44, 225, 36, 34, 35, 38, 31, 35, 35, 31, 36, 39, 203, 50, 2116, 44, 971, 39788, 570, 10242, 905, 203, 50, 5546, 44, 594, 39788, 32, 89, 10242, 905, 50, 84, 1990, 368, 4704, 32, 508, 203, 50, 1367, 44, 11398, 436, 322, 7871, 2297, 203, 9592, 203, 465, 15798, 203, 465, 12643, 619, 6121, 203, 465, 6436, 619, 2065, 203, 1070, 7871, 1188, 7871, 203, 465, 7744, 203, 823, 2108, 14674, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1297, 81, 86, 643, 1746, 35, 26, 784, 711, 291, 5760, 280, 225, 35, 34, 34, 291, 3111, 280, 225, 35, 291, 2078, 280, 428, 35, 34, 34, 79, 291, 9233, 1143, 35, 280, 225, 34, 32, 35, 39, 291, 9233, 1143, 36, 280, 225, 34, 32, 39, 34, 291, 9233, 1143, 37, 280, 225, 34, 32, 43, 34, 291, 436, 2504, 81, 643, 328, 2155, 26, 2138, 429, 225, 35, 711, 324, 415, 2504, 81, 643, 333, 308, 2138, 319, 9233, 1143, 35, 711, 400, 2078, 32, 1689, 26, 2810, 6448, 35, 79, 429, 3111, 27, 324, 4348, 308, 5520, 81, 643, 2377, 5760, 27, 319, 9233, 1143, 35, 461, 766, 528, 308, 5520, 81, 643, 333, 5760, 27, 319, 9233, 1143, 36, 44, 400, 2078, 32, 1689, 26, 2810, 6448, 35, 79, 474, 3111, 27, 324, 4348, 308, 5520, 81, 643, 2377, 5760, 319, 9233, 1143, 36, 27, 461, 766, 528, 308, 5520, 81, 643, 333, 5760, 27, 319, 9233, 1143, 37, 44, 400, 2078, 32, 1689, 26, 2810, 6448, 35, 79, 429, 3111, 27, 324, 4348, 2504, 81, 643, 2377, 5760, 319, 9233, 1143, 37, 44, 400, 2078, 32, 1689, 26, 2810, 6448, 35, 79, 474, 3111, 27, 291, 45360, 280, 6121, 32, 9273, 26, 2810, 30, 1650, 47, 2356, 32, 16251, 26, 2138, 490, 291, 1056, 280, 7871, 32, 1297, 81, 3887, 1746, 101, 26, 32867, 27, 291, 2799, 280, 308, 38, 34, 32, 34, 30, 225, 38, 43, 32, 34, 27, 291, 630, 32, 5299, 26, 1267, 30, 2799, 30, 330, 2886, 1746, 1048, 17686, 683, 284, 665, 894, 81, 1297, 81, 46134, 348, 81, 11368, 34, 26, 784, 711, 291, 3760, 95, 280, 428, 35, 34, 30, 225, 43, 30, 225, 35, 35, 30, 225, 35, 34, 30, 225, 35, 36, 30, 225, 35, 35, 30, 225, 35, 37, 30, 225, 35, 36, 30, 225, 35, 38, 30, 225, 35, 37, 30, 225, 35, 39, 79, 291, 29085, 280, 6121, 32, 9273, 26, 4485, 95, 27, 291, 3217, 280, 29085, 32, 25747, 81, 2342, 346, 291, 1056, 280, 7871, 32, 1297, 81, 46134, 348, 81, 11368, 26, 3255, 27, 291, 2799, 280, 225, 39, 32, 42, 39, 43, 41, 37, 40, 43, 41, 291, 630, 32, 47628, 26, 1267, 30, 2799, 27, 284, 665, 894, 81, 1297, 81, 46134, 348, 81, 11368, 35, 26, 784, 711, 291, 3760, 95, 280, 428, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 35, 30, 225, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 7, 4, 4, 6, 6, 7, 4, 4, 6, 6, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 5, 6, 6, 5, 5, 7, 9, 8, 8, 9, 7, 5, 5, 7, 9, 9, 8, 8, 11, 10, 10, 11, 11, 9, 7, 7, 11, 12, 11, 14, 13, 15, 13, 12, 12, 11, 7, 7, 8, 13, 13, 13, 12, 12, 11, 10, 10, 11, 11, 9, 9, 10, 9, 13, 13, 13, 12, 12, 11, 10, 10, 11, 11, 8, 8, 8, 12, 13, 12, 15, 14, 16, 14, 13, 13, 12, 7, 7, 8, 12, 12, 12, 11, 11, 12, 12, 13, 13, 10, 9, 9, 10, 9, 13, 13, 13, 12, 12, 11, 10, 10, 11, 11, 8, 8, 8, 12, 13, 12, 15, 14, 16, 14, 13, 13, 12, 7, 7, 8, 10, 10, 9, 9, 10, 10, 11, 11, 8, 8, 8, 12, 13, 12, 15, 14, 16, 14, 13, 13, 12, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 9, 12, 11, 12, 11, 12, 11, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 6, 6, 8, 9, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 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, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 1, 0, 4, 4, 4, 4, 0, 5, 5, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 6, 1, 1, 6, 6, 1, 0, 1, 1, 2, 1, 6, 6, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 4, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 3, 3, 2, 2, 4, 4, 4, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 5, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 3, 3, 2, 2, 5, 5, 5, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 6, 0, 0, 1, 1, 2, 2, 2, 2, 6, 6, 6, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 11, 11, 2, 2, 13, 13, 2, 2, 15, 15, 2, 2, 17, 17, 2, 2, 19, 19, 2, 2, 21, 21, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 11, 2, 2, 13, 2, 2, 15, 2, 2, 17, 2, 2, 19 ]
[ 465, 15798, 203, 465, 6436, 619, 2065, 203, 465, 18792, 203, 1070, 663, 1352, 1188, 42877, 81, 2255, 619, 281, 203, 1070, 663, 1352, 1188, 667, 203, 1070, 663, 1352, 1188, 6325, 203, 1070, 663, 1352, 1188, 2677, 203, 823, 7502, 2447, 26, 1126, 32, 2447, 711, 284, 665, 1156, 1664, 3207, 784, 30, 310, 81, 266, 30, 310, 81, 541, 711, 291, 630, 32, 96, 81, 266, 280, 310, 81, 266, 291, 630, 32, 96, 81, 541, 280, 310, 81, 541, 284, 665, 7386, 81, 6281, 26, 784, 30, 9877, 711, 291, 1201, 2069, 26, 4895, 27, 610, 630, 32, 96, 81, 266, 291, 442, 8825, 26, 2356, 32, 9880, 1162, 35, 30, 225, 36, 3427, 15315, 26, 2356, 32, 1808, 37, 36, 27, 3486, 436, 617, 328, 18792, 32, 21332, 32, 3585, 26, 784, 32, 96, 81, 541, 490, 284, 665, 21851, 81, 6281, 26, 784, 30, 9877, 30, 485, 1269, 711, 291, 1201, 2069, 26, 4895, 27, 610, 630, 32, 96, 81, 266, 291, 1201, 2069, 26, 89, 1269, 27, 610, 630, 32, 96, 81, 541, 291, 442, 8825, 26, 2356, 32, 9880, 81, 6228, 26, 4895, 547, 15315, 26, 2356, 32, 1808, 37, 36, 27, 3486, 436, 617, 328, 18792, 32, 21332, 32, 3585, 26, 784, 32, 96, 81, 266, 490, 203, 589, 4395, 81, 1126, 26, 4895, 30, 310, 81, 541, 711, 284, 442, 7502, 2447, 26, 1657, 26, 4895, 471, 310, 81, 541, 2502, 28, 4895, 27, 203, 589, 617, 1553, 26, 784, 30, 10107, 30, 1541, 81, 1516, 30, 6731, 81, 1516, 711, 284, 485, 280, 281, 32, 1832, 81, 980, 303, 5144, 81, 2255, 26, 10931, 27, 284, 630, 32, 5299, 26, 1657, 26, 89, 32, 5459, 471, 1541, 81, 1516, 27, 284, 630, 32, 5299, 26, 1657, 26, 89, 32, 11672, 471, 6731, 81, 1516, 27, 203, 823, 2108, 3406, 1796, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 106, 280, 2677, 32, 3818, 26, 2356, 32, 9880, 1162, 35, 30, 225, 36, 3427, 15315, 26, 2356, 32, 1808, 37, 36, 490, 291, 630, 32, 107, 280, 4395, 81, 1126, 1162, 784, 32, 106, 28020, 225, 35, 27, 291, 630, 32, 108, 280, 4395, 81, 1126, 1162, 784, 32, 107, 28020, 225, 35, 27, 284, 665, 894, 81, 1816, 81, 4502, 26, 784, 711, 291, 617, 1553, 26, 784, 30, 308, 784, 32, 106, 30, 2588, 225, 35, 30, 225, 34, 27, 284, 665, 894, 81, 38989, 81, 4502, 26, 784, 711, 291, 617, 1553, 26, 784, 30, 308, 784, 32, 107, 30, 2588, 225, 37, 30, 225, 36, 27, 284, 665, 894, 81, 9793, 81, 4502, 26, 784, 711, 291, 617, 1553, 26, 784, 30, 308, 784, 32, 108, 30, 2588, 225, 39, 30, 225, 38, 27, 284, 665, 894, 81, 12565, 81, 10931, 26, 784, 711, 291, 617, 1553, 26, 784, 30, 308, 784, 32, 106, 30, 630, 32, 107, 471, 225, 37, 30, 225, 36, 27, 284, 665, 894, 81, 12565, 81, 10931, 36, 26, 784, 711, 291, 617, 1553, 26, 784, 30, 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, 2, 2, 0, 1, 1, 0, 1, 1, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 8, 6, 6, 7, 8, 8, 8, 4, 4, 5, 7, 12, 11, 12, 11, 13, 12, 12, 13, 12, 10, 9, 11, 10, 11, 11, 11, 9, 7, 7, 8, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 12, 12, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 8, 6, 6, 7, 8, 8, 8, 4, 4, 5, 8, 9, 9, 8, 6, 6, 7, 8, 8, 8, 4, 4, 5, 7, 12, 11, 12, 12, 12, 11, 12, 11, 10, 9, 11, 10, 11, 11, 11, 9, 7, 7, 8, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 12, 12, 10, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 6, 6, 8, 8, 9, 8, 6, 7, 7, 6, 6, 7, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 2, 2, 5, 6, 5, 7, 7, 9, 8, 9, 7, 5, 6, 6, 5, 2, 2, 5, 6, 5, 7, 7, 9, 8, 9, 7, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 13, 12, 13, 12, 14, 13, 13, 14, 13, 11, 10, 12, 11, 12, 12, 12, 10, 4, 4, 7, 8, 6, 6, 8, 8, 8, 11, 10, 11, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 11, 10, 11, 9, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 8, 7, 7, 10, 9, 10, 8, 8, 7, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 8, 7, 7, 10, 9, 10, 8, 8, 7, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 8, 7, 7, 10, 9, 10, 8, 8, 7, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 8, 7, 7, 10, 9, 10, 8, 8, 9, 10, 8, 7, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 8, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 6, 6, 0, 7, 7, 1, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 1, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 8, 8, 1, 1, 2, 1, 2, 2, 3, 3, 2, 8, 8, 0, 0, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 9, 9, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 9, 9, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 0, 10, 10, 1, 1, 2, 0, 1, 2, 2, 10, 10, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 3, 3, 1, 5, 1, 1, 7, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 3, 3, 1, 5, 1, 1, 7, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 0, 1, 2, 3, 3, 1, 5, 1, 1, 7, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 0, 1, 2, 3, 3, 3, 2, 3, 1, 5, 1, 1, 7, 1, 4, 4, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1 ]
[ 505, 464, 505, 280, 2107, 17299, 1972, 785, 203, 823, 25189, 1972, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1411, 30, 3377, 711, 291, 630, 1114, 5817, 20097, 1868, 280, 1411, 291, 630, 1114, 5138, 280, 3377, 284, 665, 5657, 26, 784, 711, 291, 630, 1114, 5138, 280, 2149, 291, 630, 1114, 5817, 20097, 1868, 280, 1665, 284, 665, 1505, 81, 1851, 26, 784, 30, 1411, 81, 426, 30, 3377, 711, 291, 630, 32, 1553, 81, 1959, 26, 1959, 81, 426, 27, 291, 630, 32, 1553, 81, 5138, 26, 5138, 30, 1411, 81, 426, 27, 284, 665, 1505, 81, 1959, 26, 784, 30, 1411, 711, 291, 415, 1411, 610, 630, 1114, 5817, 20097, 1868, 44, 324, 442, 291, 813, 44, 324, 3636, 10091, 440, 1868, 30267, 438, 646, 16641, 32, 308, 6343, 20097, 1411, 766, 6035, 438, 17246, 2473, 27, 1895, 1643, 26, 1959, 30, 630, 1114, 5817, 20097, 1868, 27, 284, 665, 1505, 81, 5138, 26, 784, 30, 3377, 30, 1411, 81, 426, 711, 291, 415, 3377, 438, 1665, 44, 324, 442, 2069, 26, 784, 1114, 5138, 27, 610, 225, 34, 291, 415, 2069, 26, 5138, 27, 863, 2069, 26, 784, 1114, 5138, 711, 324, 3636, 10091, 440, 19129, 1451, 432, 3377, 436, 1411, 17246, 2473, 766, 4985, 5422, 44, 2149, 32, 11963, 2149, 1895, 1643, 26, 1891, 1411, 81, 426, 30, 1891, 2069, 26, 784, 1114, 5138, 471, 1891, 2069, 26, 5138, 490, 291, 436, 1202, 328, 3377, 44, 324, 415, 1202, 328, 630, 1114, 5138, 44, 400, 415, 630, 1114, 5138, 77, 678, 79, 863, 3377, 77, 678, 2786, 528, 3636, 10091, 440, 19129, 30267, 3395, 766, 9474, 786, 436, 1411, 17246, 2473, 766, 9474, 5422, 6078, 34917, 11963, 6078, 2537, 25, 1895, 1643, 26, 2476, 1411, 81, 426, 30, 2476, 1202, 30, 2476, 630, 1114, 5138, 77, 678, 614, 2476, 3377, 77, 678, 1130, 324, 813, 44, 400, 3636, 10091, 440, 3012, 6611, 101, 25, 646, 2431, 328, 1411, 6611, 101, 13042, 768, 308, 466, 26, 678, 471, 1411, 81, 426, 490, 291, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5, 5, 5, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 5, 5, 6, 6, 6, 8, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 14, 14, 14, 14, 14, 11, 10, 11, 10, 10, 11, 12, 12, 12, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 5, 5, 5, 7, 10, 12, 11, 12, 10, 8, 8, 9, 4, 4, 5, 8, 9, 8, 6, 6, 8, 10, 9, 10, 8, 5, 5, 7, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 13, 13, 13, 13, 13, 13, 13, 10, 9, 9, 9, 10, 10, 9, 9, 9, 11, 13, 12, 13, 11, 9, 9, 11, 12, 11, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 8, 9, 10, 7, 7, 7, 9, 12, 13, 11, 12, 11, 10, 10, 11, 12, 11, 9, 9, 11, 15, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17, 14, 13, 13, 13, 14, 14, 13, 13, 13, 13, 13, 13, 15, 16, 14, 15, 14, 13, 13, 14, 15, 14, 7, 7, 8, 8, 8, 10, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 15, 15, 16, 15, 13, 14, 14, 13, 4, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 3, 3, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 3, 3, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 5, 2, 5, 1, 1, 7, 2, 7, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 3, 3, 3, 3, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 6436, 619, 2065, 203, 846, 280, 2065, 32, 955, 21145, 42, 30, 225, 35, 614, 428, 38, 30, 225, 39, 13138, 203, 105, 30, 354, 280, 2065, 32, 20973, 32, 47950, 26, 846, 27, 203, 1216, 26, 105, 27, 203, 1216, 26, 104, 27, 203, 1216, 463, 853, 44, 5769, 341, 77, 34, 1130, 203, 1216, 463, 2402, 44, 5769, 354, 6894, 225, 34, 79, 517, 354, 77, 34, 30, 225, 34, 1130, 203, 1216, 26, 105, 77, 2356, 32, 29957, 26, 105, 14829, 203, 1216, 26, 104, 6894, 2065, 32, 29957, 26, 105, 14829, 203, 589, 622, 81, 39076, 16564, 26, 846, 711, 284, 341, 30, 354, 280, 2065, 32, 20973, 32, 47950, 26, 846, 27, 284, 30880, 16564, 280, 1605, 284, 436, 595, 30, 909, 328, 10703, 26, 105, 711, 291, 4712, 280, 354, 6894, 595, 79, 517, 2065, 32, 887, 26, 2356, 32, 3596, 26, 104, 6894, 595, 1674, 104, 6894, 595, 79, 863, 225, 34, 5259, 291, 30880, 16564, 32, 1689, 1162, 695, 30, 4712, 490, 284, 442, 30880, 16564, 203, 39076, 16564, 280, 622, 81, 39076, 16564, 26, 846, 27, 203, 979, 909, 30, 4712, 328, 30880, 16564, 44, 284, 1459, 463, 853, 44, 6663, 4026, 44, 19553, 1643, 26, 695, 30, 4712, 490, 203, 846, 280, 2065, 32, 955, 21145, 35, 30, 225, 35, 30, 225, 36, 614, 428, 34, 30, 225, 36, 30, 429, 35, 614, 428, 34, 30, 225, 34, 30, 225, 37, 13138, 203, 39076, 16564, 280, 622, 81, 39076, 16564, 26, 846, 27, 203, 979, 909, 30, 4712, 328, 30880, 16564, 44, 284, 1459, 463, 853, 44, 6663, 4026, 44, 19553, 1643, 26, 695, 30, 4712, 490, 203, 846, 280, 2065, 32, 955, 21145, 37, 30, 225, 36, 614, 9650, 36, 30, 225, 37, 13138, 203, 39076, 16564, 280, 622, 81, 39076, 16564, 26, 846, 27, 203, 979, 909, 30, 4712, 328, 30880, 16564, 44, 284, 1459, 463, 853, 44, 6663, 4026, 44, 19553, 1643, 26, 695, 30, 4712, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 0, 3, 2, 2, 4, 5, 4, 7, 6, 6, 7, 6, 5, 7, 6, 6, 7, 6, 0, 4, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 4, 0, 3, 3, 4, 3, 0, 3, 3, 4, 3, 0, 3, 3, 5, 5, 5, 3, 4, 5, 4, 0, 3, 3, 5, 5, 5, 3, 5, 5, 6, 5, 4, 4, 5, 6, 5, 5, 6, 5, 0, 3, 3, 5, 4, 7, 6, 7, 6, 7, 6, 0, 3, 3, 5, 4, 4, 6, 7, 6, 7, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 3, 3, 6, 6, 8, 8, 8, 7, 7, 9, 10, 9, 12, 11, 12, 11, 14, 13, 13, 13, 15, 14, 14, 14, 13, 13, 14, 12, 4, 4, 8, 7, 8, 7, 9, 8, 8, 8, 2, 2, 3, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 5, 4, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 5, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 7, 7, 0, 3, 2, 2, 4, 5, 4, 7, 6, 6, 7, 6, 6, 7, 6, 5, 7, 6, 6, 7, 6, 6, 8, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 5, 4, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 5, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 7, 7, 0, 3, 2, 2, 4, 5, 4, 7, 6, 6, 7, 6, 5, 8, 6, 6, 7, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 5, 4, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 5, 9, 9, 9, 9, 9, 9, 8, 7, 8, 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 ]
[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 2, 3, 0, 0, 1, 1, 1, 1, 1, 0, 0, 4, 0, 3, 3, 2, 2, 2, 2, 4, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 9, 9, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 11, 11, 1, 1, 11, 11, 3, 11, 11, 11, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 3, 3, 3, 3, 3, 1, 3, 1, 1, 5, 5, 3, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 14, 14, 1, 1, 14, 14, 3, 14, 14, 14, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 17, 17, 1, 1, 17, 17, 3, 17, 17, 17, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 343, 2632, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 816, 1647, 32, 916, 81, 1647, 1188, 22509, 1120, 2459, 203, 1070, 816, 1647, 32, 1647, 2157, 1188, 7703, 2780, 2759, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 11025, 1188, 2297, 2157, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 2593, 81, 36118, 1188, 1188, 81, 7632, 81, 1070, 81, 2593, 203, 1070, 345, 43741, 32, 4882, 32, 2304, 1188, 488, 43741, 7233, 13976, 203, 1070, 4377, 858, 2304, 1188, 308, 284, 16966, 1893, 38438, 2732, 30, 16966, 13018, 2791, 1006, 13976, 30, 16966, 2681, 1006, 13976, 203, 27, 203, 50, 583, 102, 32, 583, 102, 203, 823, 2108, 15640, 26, 11355, 1893, 38438, 2732, 30, 16966, 2681, 1006, 13976, 30, 16966, 13018, 2791, 1006, 13976, 30, 488, 43741, 7233, 13976, 711, 284, 3042, 33763, 81, 1589, 280, 5053, 426, 950, 330, 7632, 31, 12525, 31, 668, 370, 330, 2132, 950, 2107, 7632, 81, 314, 26830, 284, 665, 6144, 81, 3127, 26, 784, 30, 1789, 711, 291, 2599, 26, 1006, 15640, 30, 630, 547, 6967, 81, 3127, 26, 1986, 27, 291, 630, 32, 5299, 26, 1986, 32, 605, 30, 11544, 284, 477, 583, 102, 32, 605, 26, 1815, 30, 3177, 27, 284, 665, 894, 81, 12525, 26, 784, 30, 537, 81, 1643, 711, 291, 630, 32, 3615, 81, 363, 81, 44513, 346, 291, 7775, 81, 8795, 81, 678, 280, 630, 32, 7632, 32, 314, 32, 2682, 81, 8795, 81, 678, 463, 7632, 81, 1338, 370, 330, 12525, 683, 291, 8419, 81, 12525, 280, 2297, 2157, 922, 1297, 81, 1094, 26, 324, 630, 32, 496, 32, 314, 30, 324, 7775, 81, 8795, 81, 678, 32, 7632, 81, 678, 30, 324, 7775, 81, 8795, 81, 678, 32, 1521, 81, 681, 30, 324, 2163, 81, 314, 47, 12525, 81, 8795, 81, 678, 32, 1521, 81, 314, 291, 829, 291, 1929, 81, 12525, 280, 225, 37, 291, 415, 537, 81, 1643, 44, 324, 436, 1929, 328, 2155, 26, 35, 30, 1929, 81, 12525, 474, 225, 35, 711, 400, 8419, 81, 12525, 32, 3028, 32, 1689, 26, 528, 301, 715, 313, 314, 563, 1929, 30, 715, 313, 770, 563, 313, 1547, 20, 474, 596, 26, 1516, 471, 715, 313, 1286, 563, 3778, 83, 976, 4083, 33, 1574, 33, 11079, 2333, 20, 474, 596, 26, 1516, 27, 474, 11090, 83, 9601, 715, 313, 1517, 563, 22509, 1120, 2459, 32, 5959, 81, 18391, 528, 320, 400, 829, 291, 813, 44, 324, 1974, 81, 605, 280, 3330, 324, 436, 1929, 328, 2155, 26, 1516, 81, 12525, 30, 225, 34, 30, 429, 35, 711, 400, 1974, 81, 605, 1454, 3778, 374, 772, 90, 36, 48, 1547, 20, 474, 596, 26, 1516, 27, 474, 11090, 90, 36, 772, 83, 976, 4083, 33, 1574, 33, 11079, 2333, 20, 474, 596, 26, 1516, 27, 474, 11090, 83, 855, 374, 5844, 324, 8419, 81, 12525, 32, 605, 280, 1044, 13950, 362, 5844, 474, 1974, 81, 605, 474, 11090, 362, 5844, 291, 2297, 2157, 922, 1877, 81, 1094, 26, 7632, 81, 12525, 30, 630, 32, 496, 32, 314, 27, 291, 1789, 280, 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, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 0, 2, 4, 4, 3, 4, 4, 1, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 2, 2, 6, 6, 6, 5, 5, 9, 9, 7, 9, 9, 9, 9, 9, 9, 6, 9, 9, 7, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 10, 11, 11, 10, 10, 10, 9, 9, 9, 8, 9, 8, 5, 5, 8, 9, 8, 10, 9, 10, 8, 8, 3, 3, 8, 8, 7, 8, 7, 8, 7, 7, 7, 4, 4, 5, 6, 6, 6, 7, 6, 6, 7, 7, 6, 5, 5, 9, 10, 10, 10, 10, 10, 9, 6, 6, 9, 9, 9, 9, 8, 8, 12, 13, 11, 12, 10, 11, 11, 11, 11, 11, 10, 12, 12, 12, 12, 10, 12, 12, 6, 6, 9, 9, 8, 8, 12, 12, 11, 11, 11, 10, 10, 10, 12, 13, 11, 12, 10, 10, 10, 12, 12, 12, 12, 11, 12, 12, 12, 10, 10, 10, 12, 12, 12, 12, 11, 12, 12, 12, 10, 10, 10, 12, 12, 11, 13, 13, 13, 13, 13, 12, 13, 13, 13, 10, 10, 6, 6, 9, 9, 8, 8, 9, 6, 6, 7, 8, 8, 7, 7, 7, 9, 9, 9, 11, 12, 11, 11, 13, 13, 12, 12, 13, 11, 9, 9, 15, 15, 14, 15, 13, 14, 13, 13, 13, 14, 14, 17, 17, 15, 14, 14, 14, 17, 17, 15, 18, 18, 16, 16, 18, 19, 18, 14, 14, 17, 17, 15, 19, 19, 19, 19, 19, 19, 20, 19, 19, 17, 17, 19, 20, 19, 16, 16, 18, 18, 14, 14, 17, 17, 15, 17, 17, 16, 17, 17, 17, 14, 14, 13, 13, 7, 7, 8, 8, 8, 12, 12, 11, 11, 9, 9, 10, 10, 10, 12, 13, 13, 13, 12, 12, 13, 12, 12, 14, 12, 10, 10, 14, 14, 13, 13, 19, 19, 19, 19, 19, 19, 19, 17, 17, 19, 20, 19, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 18, 18, 15, 15, 17, 18, 17, 14, 14, 16, 16, 16, 16, 9, 9, 13, 13, 12, 13, 11, 11, 15, 15, 15, 13, 13, 14, 14, 12, 12, 14, 14, 6, 6, 11, 11, 10, 10, 10, 9, 10, 10, 10, 9, 9, 11, 12, 10, 11, 9, 6, 6, 8, 8 ]
[ 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 1, 2, 2, 8, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 7, 7, 7, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 3, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 7, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 3, 2, 1, 4, 4, 0, 0 ]
[ 465, 2322, 203, 465, 44524, 203, 1070, 2676, 3773, 978, 32, 2282, 32, 15199, 32, 24364, 1188, 40108, 32380, 2333, 203, 1070, 2676, 3773, 978, 32, 2282, 32, 15199, 32, 24364, 32, 24364, 81, 3613, 1188, 7502, 32817, 203, 1070, 2676, 3773, 978, 32, 2282, 32, 1299, 32, 29326, 1188, 44539, 203, 1070, 2676, 3773, 978, 32, 2282, 32, 2946, 32, 2024, 14117, 1188, 5582, 11874, 203, 1070, 2676, 3773, 978, 32, 3086, 81, 4882, 32, 3378, 1188, 894, 81, 4295, 203, 1070, 2676, 3773, 978, 32, 3086, 81, 4882, 32, 3378, 1188, 894, 81, 32997, 203, 1070, 2676, 3773, 978, 32, 14146, 9744, 32, 3613, 1188, 7502, 203, 1070, 2676, 3773, 978, 32, 3732, 32, 7621, 32, 2501, 858, 1188, 24199, 1006, 203, 1070, 2676, 3773, 978, 32, 3732, 32, 7621, 32, 28412, 1188, 319, 203, 1070, 2676, 3773, 978, 32, 3732, 32, 7621, 32, 3926, 270, 445, 1188, 11423, 1032, 1006, 203, 1070, 2676, 3773, 978, 32, 3732, 32, 7621, 32, 2997, 7508, 1188, 11533, 5897, 203, 1070, 2676, 3773, 978, 32, 2282, 32, 1299, 32, 1517, 1786, 81, 3613, 1188, 7502, 1533, 2059, 203, 1070, 2676, 3773, 978, 32, 3732, 32, 3613, 3732, 1188, 7502, 3653, 30, 7502, 2031, 203, 823, 2108, 7931, 4084, 26, 7931, 4084, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4559, 47, 2521, 711, 291, 15463, 4084, 3667, 1664, 3207, 784, 27, 291, 415, 4559, 44, 324, 630, 32, 2539, 81, 452, 81, 3732, 26, 3732, 27, 291, 630, 1114, 2184, 280, 7502, 2031, 26, 8853, 47, 2700, 30, 2935, 81, 2501, 347, 3375, 31, 3926, 392, 2601, 47, 2521, 27, 284, 665, 4240, 81, 1007, 81, 3926, 26, 784, 711, 291, 1688, 81, 14117, 280, 5582, 11874, 346, 291, 1688, 81, 14117, 32, 14117, 81, 2024, 346, 291, 15463, 4084, 32, 2409, 81, 1007, 81, 3926, 26, 784, 27, 291, 1688, 81, 14117, 32, 11243, 81, 2024, 346, 203, 823, 2108, 4084, 26, 5584, 9784, 4084, 711, 284, 636, 280, 313, 858, 31, 3926, 20, 203, 823, 2108, 8365, 4084, 26, 5584, 8365, 4084, 711, 284, 636, 280, 313, 858, 31, 6212, 31, 3926, 20, 203, 823, 2108, 8357, 265, 4084, 26, 8357, 265, 4084, 711, 284, 617, 7840, 81, 6932, 280, 225, 34, 203, 823, 7400, 4084, 1006, 26, 9770, 1006, 711, 284, 665, 894, 81, 751, 81, 5660, 26, 784, 711, 291, 630, 32, 5299, 26, 1006, 4084, 922, 81, 751, 81, 5660, 1026, 2322, 32, 983, 32, 2524, 440, 497, 392, 313, 858, 31, 3926, 31, 8288, 2131, 284, 665, 617, 862, 81, 1945, 81, 7524, 81, 2675, 26, 784, 30, 1420, 81, 1132, 30, 2601, 47, 2521, 711, 291, 5523, 280, 2108, 4084, 346, 291, 4559, 280, 7502, 3653, 346, 291, 4559, 32, 1517, 81, 1786, 32, 2195, 81, 314, 280, 313, 89, 373, 20, 291, 4559, 32, 2493, 19290, 280, 7502, 346, 291, 5523, 32, 2539, 81, 452, 81, 3732, 26, 3732, 27, 291, 5523, 1114, 2184, 280, 7502, 346, 291, 5523, 1114, 2184, 32, 625, 280, 2601, 291, 5523, 32, 1945, 81, 7524, 81, 2675, 26, 1945 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 4, 4, 5, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 10, 9, 4, 4, 7, 8, 6, 6, 8, 8, 10, 9, 10, 8, 8, 10, 10, 9, 11, 11, 11, 11, 8, 9, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 4, 4, 8, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 8, 8, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 11, 11, 11, 10, 10, 10, 10, 9, 7, 10, 11, 9, 10, 9, 11, 11, 9, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 8, 4, 4, 6, 6, 8, 8, 4, 4, 8, 9, 9, 9, 7, 8, 8, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 8, 4, 4, 8, 9, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 1, 6, 4, 4, 0, 5, 5, 0, 0, 1, 2, 1, 4, 1, 6, 6, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 2, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 0, 0, 1, 2, 2, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 2, 1, 4, 8, 8, 0, 9, 9, 0, 0, 1, 2, 1, 4, 1, 6, 6, 9, 9, 0, 0, 10, 10, 0, 0, 1, 2, 1, 4, 1, 6, 10, 10, 0, 11, 11, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 11, 11, 0, 0, 0, 12, 12, 0, 0, 1, 2, 1, 4, 1, 6, 6, 12, 12, 0, 0, 13, 13, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 13, 13, 0, 0, 0, 14, 14, 0, 0, 1, 2, 1, 4, 4, 14, 14, 0, 14, 14, 0, 0, 15, 15, 1, 1, 2, 1, 1, 2, 15, 15, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 16, 16, 1, 2, 1, 1, 1, 2, 16, 16, 0, 0, 1, 1, 1, 2, 0, 17, 17, 1, 1, 2, 1, 1, 1, 2, 17, 17, 0, 0, 1, 1, 1, 1, 1, 2, 0, 18, 18, 1, 1, 1, 2, 1, 1, 1, 2, 18, 18, 0, 0, 0, 0, 0, 2, 0, 19, 19, 1, 1, 2, 1, 1, 2, 19, 19, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 4, 4, 0, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1 ]
[ 465, 3706, 325, 2557, 203, 465, 2322, 203, 465, 316, 203, 823, 21109, 445, 290, 6330, 924, 26, 984, 711, 284, 3097, 203, 589, 622, 81, 9236, 81, 426, 2262, 284, 442, 2322, 32, 12757, 32, 371, 463, 1400, 4128, 1013, 81, 44756, 81, 2474, 370, 330, 1696, 683, 203, 589, 622, 81, 2122, 81, 426, 2262, 284, 636, 280, 2322, 32, 12757, 32, 371, 463, 12744, 81, 2474, 370, 9142, 284, 415, 646, 636, 44, 291, 3636, 21109, 445, 290, 6330, 924, 463, 1183, 636, 1597, 646, 3417, 683, 284, 442, 636, 203, 589, 622, 81, 2630, 81, 426, 2262, 284, 636, 280, 2322, 32, 12757, 32, 371, 463, 26951, 81, 2474, 370, 9142, 284, 415, 646, 636, 44, 291, 3636, 21109, 445, 290, 6330, 924, 463, 2879, 636, 1597, 646, 3417, 683, 284, 442, 636, 203, 589, 622, 81, 2630, 81, 2035, 81, 2468, 2262, 284, 2965, 280, 2322, 32, 12757, 32, 371, 463, 26951, 81, 8472, 81, 12339, 370, 9142, 284, 415, 646, 2965, 44, 291, 3636, 21109, 445, 290, 6330, 924, 463, 2879, 3408, 2965, 1597, 646, 3417, 683, 284, 442, 2965, 203, 589, 622, 81, 2630, 81, 3259, 81, 2468, 2262, 284, 442, 3706, 325, 2557, 32, 325, 15097, 463, 9968, 34, 11968, 1299, 325, 2557, 32, 5995, 81, 21399, 1674, 34, 5795, 3225, 785, 203, 589, 622, 81, 625, 26, 426, 30, 1244, 47, 2521, 711, 284, 442, 622, 81, 10265, 81, 327, 6855, 81, 625, 26, 291, 622, 81, 2122, 81, 426, 1026, 291, 622, 81, 2630, 81, 426, 1026, 291, 636, 30, 1244, 27, 203, 589, 622, 81, 10265, 81, 2035, 26, 2122, 30, 3851, 711, 284, 1596, 44, 291, 442, 2322, 32, 12757, 710, 2537, 81, 2537, 81, 8472, 2473, 1643, 2176, 452, 81, 2121, 81, 869, 81, 426, 26, 2122, 471, 13588, 617, 452, 81, 2121, 81, 869, 81, 426, 26, 2630, 12634, 284, 2940, 44, 291, 3636, 21109, 445, 290, 6330, 924, 26, 324, 330, 2023, 3408, 3417, 436, 3851, 2149, 432, 2719, 2149, 25, 324, 638, 1643, 26, 2630, 30, 2719, 490, 203, 589, 622, 81, 10265, 81, 327, 6855, 81, 625, 26, 2122, 30, 3851, 30, 2601, 30, 1244, 47, 2521, 711, 284, 1596, 44, 291, 442, 629, 26, 500, 32, 12757, 32, 371, 26, 324, 17246, 81, 2537, 81, 2537, 81, 16758, 81, 3624, 2473, 1643, 2176, 452, 81, 2121, 81, 869, 81, 426, 26, 2122, 471, 3391, 617, 452, 81, 2121, 81, 869, 81, 426, 26, 2630, 471, 3391, 617, 452, 81, 2121, 81, 869, 81, 426, 26, 625, 3427, 7607, 1026, 324, 1244, 490, 284, 2940, 44, 291, 3636, 21109, 445, 290, 6330, 924, 26, 324, 330, 2023, 3568, 2601, 2149, 3417, 436, 3851, 2149, 432, 2719, 2149, 25, 324, 638, 1643, 26, 625, 30, 3851, 30, 2719, 490, 203, 589, 622, 81, 10265, 81, 625, 26, 2122, 30, 3851, 30, 2601, 30, 1244, 47, 2521, 711, 284, 1596, 44, 291, 442, 629, 26, 500, 32, 12757, 32, 371, 26, 324, 17246, 81, 2537, 81, 2537, 81, 3624, 2473, 1643, 2176, 452, 81, 2121, 81, 869 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 6, 7, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 6, 2, 2, 3, 4, 3, 3, 3, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 6, 2, 2, 3, 4, 3, 3, 3, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 6, 2, 2, 3, 4, 3, 3, 3, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 9, 9, 8, 9, 9, 8, 10, 10, 10, 8, 8, 8, 7, 8, 8, 8, 6, 6, 5, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 5, 7, 8, 6, 10, 10, 10, 10, 10, 10, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 3, 3, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 10, 11, 10, 10, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 3, 3, 5, 7, 11, 10, 11, 9, 10, 9, 9, 9, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 16, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 16, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 16, 15, 12, 11, 9, 9, 9, 3, 3, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 10, 11, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 3, 3, 5, 7, 11, 10, 11, 9, 10, 9, 9, 9, 15, 15, 15, 15, 15, 15, 15, 14, 13, 15, 15, 15, 15, 15 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 6, 6, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 8, 8, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 9, 9, 1, 1, 2, 1, 2, 2, 3, 2, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 11, 11, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 12, 12, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0 ]
[ 589, 4906, 81, 1664, 318, 26, 725, 711, 284, 415, 646, 1123, 32, 1163, 32, 5815, 36492, 9732, 81, 965, 44, 291, 3636, 15363, 924, 463, 5815, 36492, 9732, 81, 965, 1359, 786, 2298, 526, 739, 25, 6035, 330, 436, 322, 11385, 36492, 9732, 5016, 372, 1389, 683, 284, 1123, 32, 669, 81, 4259, 26, 725, 32, 1163, 32, 5815, 36492, 9732, 81, 965, 474, 3056, 1574, 33, 16064, 32, 754, 683, 284, 1123, 32, 669, 81, 4259, 26, 725, 32, 1163, 32, 5815, 36492, 9732, 81, 965, 474, 3056, 1574, 33, 6173, 33, 823, 107, 32, 754, 683, 284, 1123, 32, 669, 81, 5160, 26, 725, 32, 1163, 32, 5815, 36492, 9732, 81, 965, 474, 3056, 1574, 33, 9732, 31, 1262, 32, 2079, 683, 284, 1123, 32, 669, 81, 5160, 26, 725, 32, 1163, 32, 5815, 36492, 9732, 81, 965, 474, 5556, 3056, 1574, 33, 9732, 31, 25355, 32, 2079, 683, 284, 1123, 32, 669, 81, 5160, 26, 725, 32, 1163, 32, 5815, 36492, 9732, 81, 965, 474, 3056, 1574, 33, 9732, 31, 26275, 32, 2079, 683, 284, 1123, 32, 669, 81, 4259, 26, 725, 32, 1163, 32, 5815, 36492, 9732, 81, 965, 474, 3056, 1574, 33, 9732, 31, 1262, 32, 754, 683, 284, 1123, 32, 669, 81, 4259, 26, 725, 32, 1163, 32, 5815, 36492, 9732, 81, 965, 474, 5556, 3056, 1574, 33, 9732, 31, 25355, 32, 754, 683, 284, 1123, 32, 669, 81, 4259, 26, 725, 32, 1163, 32, 5815, 36492, 9732, 81, 965, 474, 3056, 1574, 33, 9732, 31, 26275, 32, 754, 683, 203, 589, 4705, 26, 725, 711, 284, 1123, 32, 669, 81, 1163, 81, 853, 463, 5815, 36492, 9732, 81, 965, 370, 330, 525, 555, 9732, 32, 5815, 36492, 32, 1088, 370, 3177, 27, 284, 1123, 32, 3517, 463, 4164, 31, 1664, 318, 370, 4906, 81, 1664, 318, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 7, 5, 6, 6, 6, 6, 6, 3, 3, 3, 5, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 9, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 3, 2, 1, 1, 5, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 5, 6, 6, 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 ]
[ 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 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 ]
[ 465, 6436, 619, 2065, 203, 1070, 1933, 1188, 1933, 203, 465, 595, 1295, 32, 3483, 32, 10931, 203, 1070, 595, 1295, 32, 2304, 32, 4418, 1188, 319, 203, 1070, 595, 1295, 32, 2304, 32, 1131, 853, 1188, 319, 203, 1070, 595, 1295, 32, 3483, 32, 4642, 1188, 622, 678, 203, 505, 464, 505, 11414, 1612, 18352, 370, 330, 1612, 3289, 370, 330, 1612, 27088, 370, 276, 330, 1612, 26529, 785, 203, 823, 4237, 3289, 26, 1612, 1261, 711, 664, 1244, 81, 4756, 280, 1524, 2272, 443, 44922, 623, 322, 1688, 432, 4308, 372, 1591, 803, 32, 19196, 2984, 2504, 2804, 2604, 2017, 1395, 526, 600, 1417, 432, 5852, 30, 2504, 432, 1510, 15822, 1591, 2804, 372, 526, 1688, 7103, 664, 1244, 81, 1172, 280, 313, 30835, 20, 664, 821, 19618, 280, 1933, 26, 1612, 1261, 32, 26372, 27, 664, 821, 19618, 1365, 3607, 1446, 280, 308, 1612, 2212, 25713, 313, 12010, 20, 499, 596, 30, 313, 1536, 563, 313, 541, 392, 12928, 313, 4756, 563, 313, 51, 802, 372, 6377, 322, 636, 432, 322, 803, 688, 438, 1688, 32, 886, 803, 636, 438, 2702, 810, 330, 4254, 2473, 25, 3607, 25, 474, 2179, 81, 16062, 32, 886, 2179, 1374, 1889, 1631, 2329, 2305, 312, 1451, 415, 4609, 6693, 2276, 884, 1688, 3107, 111, 829, 664, 821, 19618, 1365, 13176, 1446, 280, 308, 1612, 2212, 25713, 313, 12010, 20, 499, 629, 30, 313, 1536, 563, 225, 35, 30, 11244, 313, 4756, 563, 313, 1318, 1451, 432, 6655, 3733, 3117, 661, 19408, 3107, 320, 829, 664, 821, 19618, 1365, 9321, 1446, 280, 308, 1612, 2212, 30, 3447, 12010, 20, 264, 499, 629, 30, 264, 313, 1536, 20, 225, 499, 225, 35, 30, 9111, 313, 4756, 20, 262, 499, 313, 8257, 12270, 1395, 18393, 526, 2022, 15587, 32, 225, 35, 6058, 2504, 1133, 30, 5934, 6058, 7152, 3107, 1790, 664, 665, 1156, 1664, 3207, 784, 30, 3049, 47, 2521, 30, 225, 1244, 47, 2521, 30, 9710, 47, 2521, 30, 8742, 47, 2521, 711, 397, 2599, 26, 1612, 3289, 30, 784, 14585, 1664, 3207, 4756, 47, 4756, 30, 1244, 47, 1536, 30, 9710, 47, 466, 30, 8742, 47, 11694, 27, 664, 665, 5630, 26, 784, 711, 397, 442, 595, 1295, 32, 3483, 32, 10931, 32, 1653, 2301, 26, 3607, 47, 784, 32, 3607, 32, 5140, 1026, 291, 12510, 47, 784, 32, 13176, 32, 5140, 1026, 15042, 47, 784, 32, 9321, 32, 5140, 1026, 963, 668, 47, 5266, 26, 1612, 3289, 30, 784, 547, 5140, 1157, 664, 665, 2968, 26, 784, 30, 7018, 711, 397, 2599, 26, 1612, 3289, 30, 784, 547, 2157, 26, 4641, 32, 541, 668, 27, 397, 630, 32, 13176, 32, 2157, 26, 4641, 32, 13176, 27, 397, 630, 32, 9321, 32, 2157, 26, 4641, 32, 9321, 27, 397, 630, 32, 3607, 32, 2157, 26, 4641, 32, 3607, 27, 664, 665, 1505, 26, 784, 711, 397, 2599, 26, 1612, 3289, 30, 784, 547, 1553, 346, 397, 415, 630, 32, 13176, 32, 5140, 346, 333, 225, 34, 44, 276, 3636, 10091, 440, 1318, 12510, 3104, 436, 322, 4308, 803, 1688, 2298, 526, 11557, 7144, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 2, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 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, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 5, 4, 4, 6, 8, 8, 7, 8, 6, 2, 2, 6, 5, 7, 7, 4, 4, 6, 6, 5, 6, 9, 9, 7, 7, 6, 6, 9, 9, 7, 9, 9, 6, 6, 9, 9, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 5, 2, 2, 6, 5, 7, 7, 4, 4, 6, 6, 5, 6, 9, 9, 7, 7, 6, 6, 9, 9, 7, 8, 6, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 5, 2, 2, 6, 5, 7, 7, 4, 4, 6, 6, 5, 5, 9, 9, 7, 7, 7, 6, 6, 6, 9, 9, 7, 7, 7, 8, 6, 6, 6, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 9, 10, 9, 8, 8, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 10, 9, 10, 8, 9, 7, 8, 8, 7, 9, 8, 12, 11, 12, 10, 11, 10, 7, 7, 8, 12, 11, 12, 10, 11, 10, 7, 8, 12, 11, 12, 10, 11, 10, 7, 9, 8, 12, 12, 13, 13, 12, 13, 12, 11, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 9, 10, 9, 8, 7, 9, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 9, 10, 10, 9, 10, 9, 8, 7, 4, 4, 5, 9, 10, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 7, 7, 1, 2, 1, 1, 2, 7, 7, 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, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 0, 0, 1, 2, 1, 4, 4, 0, 0, 1, 2, 0, 0, 1, 1, 2, 3, 1, 2, 1, 1, 3, 3, 1, 2, 3, 1, 2, 3, 3, 1, 2, 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, 3, 2, 4, 4, 0, 0, 1, 2, 0, 0, 1, 1, 2, 3, 1, 2, 1, 1, 3, 3, 1, 2, 3, 2, 3, 3, 3, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 4, 4, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 3, 3, 3, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 2, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 4, 4, 6, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 6, 6, 1, 1, 1, 1, 3, 1, 2, 2, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 7, 2, 1, 2, 7, 7, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 3, 0, 0, 2, 0, 2, 1, 1, 5, 0, 0, 2, 0, 2, 1, 1, 0, 7, 0, 1, 1, 1, 1, 3, 1, 2, 1, 4, 4, 8, 2, 1, 2, 2, 2, 8, 8, 1, 1, 1, 1, 3, 1, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 9, 2, 1, 2, 9, 9, 1, 1, 1, 1, 3, 1, 2, 1, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ 465, 1133, 203, 465, 8229, 91, 32, 12195, 619, 13237, 203, 823, 595, 36, 85, 8798, 44, 284, 629, 81, 10824, 280, 429, 35, 284, 358, 5408, 280, 225, 35, 41, 3701, 358, 1583, 280, 225, 36, 41, 3701, 665, 12904, 26, 784, 30, 20384, 711, 291, 1133, 32, 7840, 26, 20384, 28, 784, 32, 410, 81, 10824, 27, 284, 665, 3219, 26, 784, 30, 2400, 3306, 30, 3181, 1893, 521, 30, 69, 1583, 9759, 711, 291, 415, 26, 3181, 1893, 521, 863, 358, 1583, 9759, 711, 324, 630, 32, 69, 1583, 280, 358, 1583, 9759, 324, 630, 32, 3181, 51, 280, 18914, 1893, 521, 291, 813, 44, 324, 1459, 313, 3181, 51, 280, 13237, 5115, 466, 26, 784, 32, 3181, 51, 34607, 225, 358, 1583, 280, 13237, 5115, 466, 26, 784, 32, 69, 1583, 27, 291, 13237, 32, 470, 2816, 26, 12195, 32, 21289, 27, 291, 13237, 32, 470, 19991, 26, 2700, 27, 291, 13237, 32, 5522, 26, 784, 32, 69, 1583, 30, 13237, 32, 4241, 27, 291, 13237, 32, 5522, 26, 784, 32, 3181, 51, 30, 13237, 32, 4241, 27, 291, 13237, 32, 2024, 26, 784, 32, 3181, 51, 30, 13237, 32, 19542, 27, 291, 13237, 32, 2024, 26, 784, 32, 69, 1583, 30, 13237, 32, 19542, 27, 291, 415, 3493, 3306, 610, 225, 35, 34, 34, 44, 324, 630, 32, 410, 81, 10824, 280, 225, 34, 32, 34, 34, 34, 34, 34, 36, 39, 291, 4348, 3493, 3306, 610, 225, 38, 34, 34, 44, 324, 630, 32, 410, 81, 10824, 280, 225, 34, 32, 34, 34, 34, 34, 34, 34, 40, 36, 39, 291, 4348, 3493, 3306, 610, 225, 35, 34, 34, 34, 44, 324, 630, 32, 410, 81, 10824, 280, 225, 35, 291, 4348, 3493, 3306, 610, 225, 37, 36, 34, 34, 44, 324, 630, 32, 410, 81, 10824, 280, 225, 35, 284, 665, 4793, 26, 784, 711, 291, 13237, 32, 5522, 26, 784, 32, 3181, 51, 30, 13237, 32, 4241, 27, 4456, 13237, 32, 2024, 26, 784, 32, 3181, 51, 30, 13237, 32, 19542, 27, 291, 13237, 32, 2024, 26, 784, 32, 69, 1583, 30, 13237, 32, 19542, 27, 291, 630, 32, 10727, 26, 35, 27, 291, 13237, 32, 2024, 26, 784, 32, 3181, 51, 30, 13237, 32, 5875, 27, 291, 630, 32, 10727, 26, 35, 27, 291, 13237, 32, 2024, 26, 784, 32, 69, 1583, 30, 13237, 32, 5875, 27, 291, 630, 32, 10727, 26, 36, 27, 284, 665, 4841, 16972, 26, 784, 711, 291, 13237, 32, 5522, 26, 784, 32, 3181, 51, 30, 13237, 32, 521, 27, 291, 1491, 2668, 280, 34, 291, 436, 595, 328, 2155, 26, 42, 711, 324, 13237, 32, 2024, 26, 784, 32, 69, 1583, 30, 13237, 32, 19542, 27, 324, 630, 32, 10727, 26, 36, 27, 324, 1491, 2668, 6592, 308, 12195, 32, 1131, 26, 784, 32, 3181, 51, 40490, 225, 41, 27, 3776, 595, 324, 13237, 32, 2024, 26, 784, 32, 69, 1583, 30, 13237, 32, 5875, 27, 324, 630, 32, 10727, 26, 36, 27, 291, 13237, 32, 5522, 26, 784, 32, 3181, 51, 30, 13237, 32, 4241, 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, 4, 3, 4, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 5, 5, 4, 4, 6, 2, 2, 5, 4, 4, 5, 5, 2, 2, 5, 4, 4, 5, 5, 2, 2, 3, 4, 5, 4, 5, 4, 3, 3, 7, 8, 7, 9, 8, 10, 9, 10, 10, 10, 7, 2, 2, 3, 4, 5, 4, 5, 5, 4, 5, 5, 5, 4, 5, 5, 5, 4, 3, 3, 6, 8, 8, 8, 7, 7, 8, 8, 6, 5, 5, 9, 10, 10, 8, 8, 9, 9, 6, 6, 9, 10, 10, 8, 8, 9, 9, 5, 5, 6, 6, 6, 8, 13, 13, 13, 13, 13, 13, 13, 15, 14, 15, 15, 13, 12, 12, 12, 12, 12, 12, 11, 11, 13, 12, 13, 13, 11, 4, 4, 7, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 5, 7, 6, 6, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 8, 7, 7, 8, 8, 8, 6, 6, 6, 10, 11, 11, 11, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 10, 11, 11, 11, 9, 9, 10, 5, 5, 6, 8, 7, 7, 8, 8, 8, 8, 6, 6, 6, 10, 11, 11, 11, 9, 9, 10, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 6, 7, 4, 4, 5, 5, 5, 7, 8, 7, 5, 5, 9, 10, 9, 11, 10, 11, 11, 9, 9, 10, 11, 9, 6, 6, 9, 10, 9, 10, 9, 6, 6, 9, 8, 8, 14, 13, 14, 13, 15, 14, 15, 15, 13, 11, 12, 10, 9, 9, 6, 6, 9, 10, 9, 11, 10, 11, 11, 9, 9, 10, 11, 9, 6, 6, 9, 10, 9, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 7, 8, 9, 7 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 2, 2, 3, 3, 3, 2, 1, 2, 3, 2, 3, 3, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 3, 3, 4, 2, 1, 2, 3, 3, 2, 5, 5, 5, 2, 7, 7, 7, 2, 4, 4, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 3, 3, 0, 2, 2, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 7, 0, 1, 1, 2, 2, 2, 7, 7, 7, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 4, 0, 1, 1, 2, 2, 2, 4, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 5, 5, 5, 0, 2, 2, 2, 0, 0, 2, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 6, 6, 6, 0, 2, 2, 2, 0, 0, 2, 3, 3, 5, 2, 1, 2, 5, 5, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 3, 3, 6, 1, 2, 1, 2, 6, 6, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 0, 2, 4, 4, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 5, 5, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 5, 5, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 5, 5, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1 ]
[ 1070, 3089, 749, 98, 1188, 8684, 203, 589, 35396, 26, 88, 30, 540, 711, 203, 202, 601, 8684, 32, 1808, 81, 1497, 26, 88, 30, 12485, 81, 30423, 47, 100, 27, 203, 589, 10635, 10929, 26, 88, 30, 540, 711, 284, 415, 646, 540, 44, 291, 442, 296, 284, 442, 8684, 32, 1808, 81, 1497, 26, 88, 30, 12485, 81, 30423, 47, 100, 30, 35396, 81, 1959, 1057, 2418, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 2, 2, 2, 1, 1, 3, 3, 5, 6, 6, 6, 5, 6, 5, 5, 7, 7, 6, 7, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 3, 3, 3, 5, 2, 2, 3, 5, 6, 6, 6, 5, 6, 5, 5, 7, 7, 6, 7, 5, 5, 7, 7, 6, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 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, 0, 0, 0, 0, 0, 0, 0, 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, 18971, 1188, 2908, 81, 2387, 203, 1070, 18971, 81, 4738, 81, 1237, 1188, 8059, 203, 823, 4300, 2551, 26, 2551, 711, 284, 665, 617, 13933, 81, 13170, 81, 1707, 26, 784, 711, 291, 442, 2908, 81, 2387, 463, 13170, 1707, 32, 916, 370, 1780, 47, 784, 1114, 725, 32, 426, 27, 203, 589, 3909, 81, 27336, 101, 26, 725, 30, 5202, 30, 10087, 39363, 711, 284, 436, 47051, 328, 10087, 39363, 44, 291, 1123, 32, 1237, 32, 3317, 81, 27336, 26, 324, 47051, 30, 324, 1984, 81, 4254, 1057, 2537, 22298, 2473, 1643, 26, 400, 5202, 30, 400, 47051, 32, 426, 30, 324, 2588, 291, 829, 203, 589, 1487, 81, 1237, 26, 725, 711, 284, 645, 638, 2393, 1188, 47051, 619, 3796, 284, 645, 638, 3164, 1188, 47051, 619, 3022, 284, 645, 638, 5176, 1188, 47051, 619, 4904, 284, 645, 638, 2035, 1188, 47051, 619, 3408, 284, 645, 638, 289, 1188, 47051, 619, 597, 284, 645, 638, 6385, 1188, 47051, 619, 6887, 284, 645, 638, 2122, 1188, 47051, 619, 2719, 284, 645, 638, 496, 1188, 47051, 619, 1256, 284, 1123, 32, 1237, 280, 4300, 2551, 26, 725, 27, 284, 3909, 81, 27336, 101, 26, 291, 1123, 30, 291, 3056, 1237, 33, 104, 34, 370, 291, 428, 324, 3796, 30, 324, 4904, 30, 324, 597, 30, 324, 6887, 30, 324, 2719, 30, 324, 1256, 30, 291, 2505, 284, 829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 9, 9, 9, 9, 9, 7, 8, 11, 10, 11, 9, 10, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 4, 3, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 9, 9, 8, 12, 12, 12, 11, 10, 10, 10, 10, 10, 10, 11, 12, 10, 10, 10, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 3, 3, 4, 4, 2, 2, 3, 6, 3, 3, 4, 4, 2, 2, 3, 6, 3, 3, 4, 4, 2, 2, 3, 6, 3, 3, 4, 4, 2, 2, 3, 6, 3, 3, 4, 4, 2, 2, 3, 6, 3, 3, 4, 4, 2, 2, 3, 6, 3, 3, 4, 4, 2, 2, 3, 6, 3, 3, 4, 4, 2, 2, 5, 6, 4, 4, 6, 6, 7, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 0, 0, 2, 2, 2, 1, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 3, 3, 4, 4, 1, 0, 1, 1, 3, 3, 4, 4, 2, 0, 2, 2, 3, 3, 4, 4, 3, 0, 3, 3, 3, 3, 4, 4, 4, 0, 4, 4, 3, 3, 4, 4, 5, 0, 5, 5, 3, 3, 4, 4, 6, 0, 6, 6, 3, 3, 4, 4, 7, 0, 7, 7, 3, 3, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 109, 284, 330, 426, 950, 330, 13746, 515, 16545, 370, 284, 330, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 3153, 950, 330, 4007, 25122, 33, 21390, 17697, 370, 284, 330, 2310, 950, 1524, 203, 13746, 515, 16545, 203, 1281, 18444, 203, 2272, 2297, 10476, 44, 284, 319, 5692, 544, 19036, 3627, 5537, 13786, 4946, 322, 19036, 438, 312, 5809, 432, 312, 14188, 515, 15234, 284, 319, 23083, 672, 5750, 436, 409, 1388, 299, 15234, 18312, 645, 15234, 8999, 284, 3330, 392, 284, 330, 2116, 950, 330, 47204, 394, 342, 30717, 488, 774, 267, 18983, 333, 2840, 774, 267, 18983, 50, 7253, 32, 508, 10154, 284, 330, 12787, 950, 330, 525, 555, 39878, 364, 342, 30717, 32, 12685, 32, 508, 370, 284, 330, 27263, 950, 428, 291, 330, 3935, 370, 291, 330, 3935, 81, 7007, 1019, 370, 284, 2505, 284, 330, 1664, 81, 2593, 950, 428, 284, 2505, 284, 330, 1877, 81, 2593, 950, 428, 291, 330, 3935, 81, 4785, 515, 81, 13304, 81, 605, 32, 2593, 370, 291, 330, 3935, 81, 4785, 515, 81, 13304, 81, 1071, 32, 2593, 370, 284, 2505, 284, 330, 858, 950, 428, 284, 2505, 284, 330, 6380, 81, 2593, 950, 428, 284, 2505, 284, 330, 3789, 444, 950, 2933, 30, 284, 330, 2480, 950, 3177, 30, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 4, 4, 6, 6, 4, 4, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 5, 5, 3, 4, 4, 2, 2, 5, 5, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 4, 4, 2, 2, 5, 5, 5, 5, 3, 4, 4, 2, 2, 5, 5, 5, 3, 2, 2, 2, 5, 5, 3, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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 ]
[ 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 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, 2, 0, 0, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 13, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 15, 2, 2, 0, 0, 1, 1, 1, 2, 17, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 19, 2, 2, 0, 0, 1, 1, 1, 2, 21, 2, 2, 0, 0, 1, 1, 2, 23, 0, 0, 0, 1, 2, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3833, 203, 465, 2322, 203, 465, 787, 1909, 203, 465, 6141, 203, 1070, 3619, 29382, 1188, 2908, 483, 203, 1070, 3619, 29382, 32, 1163, 1188, 43106, 619, 617, 34588, 203, 1070, 3619, 29382, 32, 1986, 1188, 5170, 203, 1070, 3619, 29382, 32, 4373, 1188, 10806, 203, 1070, 3619, 29382, 32, 102, 1376, 1229, 1188, 2783, 8155, 10263, 203, 1070, 3619, 29382, 81, 8358, 32, 2593, 8358, 1188, 7402, 9505, 6462, 203, 1070, 46383, 1188, 1156, 3375, 505, 203, 1070, 46383, 32, 2304, 32, 1574, 1188, 30801, 2597, 52, 2090, 203, 1070, 46383, 32, 2304, 32, 46674, 1188, 15637, 48988, 30, 676, 10663, 4058, 2781, 1498, 30, 11212, 32405, 203, 823, 10572, 26, 3868, 32, 2759, 711, 284, 11351, 280, 313, 12191, 20, 284, 8226, 280, 313, 12196, 20, 203, 823, 43106, 2176, 34588, 711, 284, 665, 1015, 81, 46674, 81, 11202, 26, 784, 30, 12654, 30, 319, 1132, 30, 1115, 5321, 711, 291, 11852, 22997, 280, 630, 32, 371, 81, 3550, 922, 37329, 440, 46674, 32, 10511, 22997, 392, 11544, 291, 11852, 22997, 32, 1689, 1162, 11202, 30, 2181, 30, 10306, 490, 284, 665, 1930, 81, 46674, 81, 725, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 1123, 280, 2599, 922, 2682, 81, 46674, 81, 725, 2740, 1132, 30, 1115, 5321, 27, 291, 436, 12654, 30, 2181, 30, 8556, 328, 630, 32, 371, 81, 3550, 48742, 46674, 32, 10511, 22997, 18270, 324, 1123, 280, 12654, 26, 725, 30, 319, 1132, 30, 1115, 4124, 27, 291, 442, 1123, 203, 823, 14741, 2214, 44, 284, 1156, 2544, 505, 280, 1665, 284, 1156, 426, 505, 280, 1665, 284, 1156, 12402, 505, 280, 428, 291, 308, 6668, 30, 313, 1363, 44, 33914, 392, 313, 2300, 2113, 284, 1481, 284, 665, 1156, 1664, 3207, 784, 30, 1326, 711, 291, 3097, 203, 589, 1205, 81, 641, 81, 102, 2984, 81, 5792, 26, 4531, 30, 10880, 711, 284, 415, 646, 10880, 32, 3550, 32, 371, 440, 44236, 81, 641, 392, 2933, 711, 291, 442, 4899, 284, 665, 1205, 81, 641, 81, 102, 2984, 26, 1357, 711, 291, 415, 1326, 32, 2132, 32, 371, 17919, 1141, 392, 1665, 27, 461, 1326, 32, 13627, 863, 313, 641, 563, 324, 5127, 280, 5170, 26, 400, 313, 10079, 438, 2129, 4414, 400, 2287, 47, 38, 34, 37, 30, 400, 1795, 81, 681, 347, 878, 33, 7355, 392, 324, 829, 324, 5127, 32, 1517, 280, 313, 38, 34, 37, 14156, 438, 2129, 20, 324, 5127, 32, 5078, 1365, 74, 31, 12200, 631, 31, 924, 1446, 280, 313, 42, 34, 37, 20, 324, 442, 5127, 291, 442, 4899, 26, 1357, 27, 284, 442, 1205, 81, 641, 81, 102, 2984, 203, 589, 18189, 81, 7133, 26, 1357, 711, 284, 415, 1326, 32, 983, 32, 15990, 26, 4207, 81, 2811, 81, 15675, 10590, 2430, 1574, 33, 2131, 44, 291, 442, 3177, 284, 442, 2933, 203, 589, 3079, 81, 1071, 26, 1163, 30, 636, 30, 5543, 30, 3079, 30, 5543, 81, 4124, 47, 2521, 711, 284, 415, 5543, 81, 4124, 438, 1665, 44, 291, 5543, 81, 4124, 280, 2149, 284, 1359, 32, 669, 81, 4351 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 6, 6, 10, 11, 11, 11, 10, 9, 8, 10, 10, 10, 10, 10, 8, 4, 4, 8, 7, 8, 7, 9, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 10, 9, 9, 9, 9, 9, 8, 10, 8, 8, 10, 8, 4, 4, 5, 6, 6, 6, 6, 5, 5, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 10, 11, 10, 10, 12, 10, 10, 12, 10, 4, 4, 5, 0, 1, 1, 2, 1, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 5, 5, 7, 6, 6, 8, 8, 8, 8, 6, 8, 8, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 6, 6, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 8, 9, 8, 10, 10, 8, 8, 6, 6, 8, 9, 7, 7, 9, 9, 5, 5, 8, 8, 10, 10, 10, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 10, 10, 12, 12, 11, 13, 13, 13, 13, 10, 10, 6, 6, 9, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 6, 6, 10, 11, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 10, 10, 6, 6, 7, 4, 4, 5, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 6, 8, 8, 8, 8, 8, 6, 8, 8, 8, 3, 3, 3, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 5, 5, 4, 4, 3, 3, 3, 7, 7, 6, 6, 2, 2, 5, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 3, 3, 2, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 0, 1, 2, 2, 2, 8, 8, 0, 0, 0, 9, 9, 0, 0, 0, 1, 2, 2, 9, 9, 0, 0, 0, 10, 10, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 12, 12, 0, 0, 0, 0, 12, 12, 0, 0, 13, 13, 2, 0, 1, 2, 2, 13, 13, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 0, 14, 14, 2, 1, 2, 14, 14, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 0, 15, 15, 1, 15, 15, 15, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 3, 3, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 16, 16, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 16, 16, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 1, 1, 2, 1, 1, 3, 3, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 3, 3, 3, 4, 4, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 0, 17, 17, 1, 1, 2, 1, 2, 17, 17, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 4, 4, 1, 0, 18, 18, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 9, 2, 2, 18, 18, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 2, 2, 2 ]
[ 1070, 894, 1188, 47455, 7233, 203, 1070, 894, 1188, 622, 81, 21945, 81, 1163, 203, 1070, 894, 1188, 15798, 203, 1070, 4395, 1188, 7841, 203, 1070, 2068, 25814, 32, 21945, 1188, 47455, 203, 1070, 2280, 1188, 5938, 15395, 203, 823, 2108, 5297, 15395, 26, 15395, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 1359, 280, 622, 81, 21945, 81, 1163, 463, 5297, 15395, 370, 301, 324, 330, 7568, 950, 225, 35, 34, 291, 1790, 291, 630, 32, 21945, 280, 5938, 15395, 26, 1163, 30, 1665, 27, 284, 665, 894, 81, 465, 26, 784, 711, 291, 630, 32, 6549, 26, 5297, 15395, 27, 284, 477, 2675, 32, 1473, 26, 15395, 30, 330, 7211, 683, 284, 665, 894, 26, 784, 30, 6672, 81, 3613, 711, 291, 630, 32, 21945, 32, 6174, 346, 291, 8607, 280, 301, 324, 330, 1772, 32, 2763, 32, 7263, 950, 261, 38, 36, 291, 320, 291, 630, 32, 470, 4216, 5297, 26, 21945, 47, 784, 32, 21945, 3667, 823, 29215, 426, 7642, 6029, 8607, 47, 7982, 30, 6029, 1244, 983, 47, 784, 32, 21945, 32, 1163, 710, 983, 3490, 291, 630, 32, 862, 25642, 7434, 26, 7211, 81, 3613, 30, 8607, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 15798, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 8, 9, 9, 12, 12, 10, 11, 11, 9, 9, 4, 4, 7, 8, 6, 6, 8, 8, 9, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 7, 2, 2, 7, 6, 7, 6, 7, 6, 6, 8, 8, 3, 3, 4, 5, 6, 5, 5, 6, 6, 5, 4, 4, 9, 10, 8, 9, 8, 5, 5, 7, 7, 8, 8, 11, 11, 11, 11, 11, 11, 9, 10, 10, 8, 8, 5, 5, 8, 9, 9, 9, 8, 10, 9, 13, 12, 13, 11, 12, 12, 11, 11, 8, 8, 9, 10, 8, 8, 8, 10, 9, 13, 12, 13, 11, 12, 10, 12, 12, 5, 5, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 5, 5, 0, 0, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 2, 2, 3, 3, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 0, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 3, 2, 1, 1, 1, 0, 5, 0, 0, 2, 0, 2, 2, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1869, 459, 1188, 319, 203, 1070, 1673, 2304, 32, 1515, 81, 1040, 1188, 1933, 81, 3242, 203, 823, 30650, 26, 4045, 711, 284, 25060, 280, 313, 641, 555, 12208, 32, 1088, 20, 284, 1984, 647, 280, 313, 641, 555, 4255, 32, 12208, 32, 1088, 33, 39447, 33, 12208, 31, 37, 32, 38, 31, 464, 32, 3969, 20, 284, 1503, 463, 37, 32, 38, 370, 264, 330, 39, 3633, 36, 37, 39669, 41, 37, 34, 32907, 36, 36, 872, 41, 43, 2087, 43, 41, 83, 34, 41, 36, 88, 34, 40, 83, 683, 284, 1503, 463, 37, 32, 37, 370, 264, 330, 37, 39, 39, 88, 40, 35, 87, 43, 85, 39, 86, 34, 43, 36, 86, 38, 43, 39, 41, 41, 41, 40, 39, 360, 37, 41, 35, 36, 3455, 34, 683, 284, 1503, 463, 37, 32, 36, 32, 35, 370, 225, 330, 86, 38, 38, 30182, 43, 34, 34, 486, 37, 40, 38, 35, 34, 37, 87, 35, 88, 38, 39, 85, 34, 88, 38, 84, 36, 41, 30363, 683, 284, 1503, 463, 37, 32, 36, 370, 264, 330, 36, 43, 40, 2500, 34, 87, 42, 83, 43, 38, 3589, 41, 36, 583, 42, 34, 486, 41, 88, 34, 872, 3589, 37, 37, 318, 683, 284, 1503, 463, 37, 32, 35, 370, 264, 330, 36, 35, 84, 37, 38, 83, 42, 85, 40, 35184, 40, 41, 85, 41, 36, 43, 84, 37, 41, 84, 38, 4184, 39, 43, 2161, 43, 86, 34, 683, 284, 1503, 463, 37, 32, 34, 370, 264, 330, 34, 83, 41, 39, 37, 37, 39, 43, 43, 84, 42, 40, 43, 34, 43, 85, 42, 39, 84, 35, 35, 41, 87, 42, 43, 41, 39, 34, 35, 35, 40, 39, 683, 284, 1503, 463, 36, 32, 35, 38, 32, 35, 370, 330, 88, 41, 38, 84, 34, 43, 38, 43, 36, 37, 3633, 41, 40, 88, 35, 39, 88, 35, 37, 42, 86, 38, 36, 37, 41, 37, 2882, 38, 3590, 683, 284, 1503, 463, 36, 32, 35, 38, 370, 261, 330, 87, 34, 40, 43, 19454, 35, 735, 34, 38, 36, 40, 40, 39, 86, 40, 35, 85, 42, 39, 1173, 872, 38, 84, 37, 36, 318, 683, 284, 1503, 463, 36, 32, 35, 37, 370, 261, 330, 42, 87, 41, 84, 37, 35, 83, 42, 84, 42, 39, 34, 34, 41, 39, 36, 85, 37, 86, 42, 34, 4184, 40, 42, 37, 86, 35, 36, 34, 85, 35, 683, 284, 1503, 463, 36, 32, 35, 36, 370, 261, 330, 38, 36, 28191, 34, 40, 86, 42, 1225, 37, 83, 41, 35, 36, 39, 329, 43, 84, 36, 83, 40, 34596, 35, 37, 43, 36, 41, 683, 284, 1503, 463, 36, 32, 35, 35, 370, 261, 330, 86, 43, 43, 43, 35, 35, 2500, 36, 86, 34, 87, 42, 40, 36, 43, 37, 87, 35, 41, 43, 37, 39346, 40, 35, 2087, 40, 38, 36, 683, 284, 1503, 463, 36, 32, 35, 34, 370, 261, 330, 85, 39, 86, 42, 87, 39, 41, 35, 42, 40, 84, 40, 34, 85, 40, 86, 40, 38, 42 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 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, 7, 2, 2, 5, 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, 7, 7, 7, 7, 7, 7, 2, 2, 5, 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, 7, 7, 7, 2, 2, 5, 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, 7, 2, 2, 5, 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, 7, 7, 7, 7, 2, 2, 5, 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, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 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, 7, 7, 2, 2, 5, 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, 7, 7, 2, 2, 5, 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, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 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, 7, 7, 2, 2, 5, 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, 7, 7, 7, 7, 2, 2, 5, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 1, 1, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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, 1, 2, 4, 4, 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, 2, 4, 4, 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, 2, 4, 4, 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 ]
[ 1070, 1168, 33367, 32, 26878, 32, 2282, 1188, 13489, 2304, 203, 1070, 1168, 33367, 32, 26878, 32, 2282, 1188, 1245, 619, 5741, 203, 1070, 1168, 33367, 32, 5558, 32, 27517, 32, 2282, 1188, 1359, 203, 1070, 1168, 33367, 32, 5558, 32, 27517, 32, 2282, 1188, 14735, 619, 310, 14806, 203, 1070, 1168, 33367, 32, 5558, 32, 27517, 32, 1199, 1188, 4125, 619, 310, 1199, 203, 1070, 1168, 33367, 32, 5558, 32, 27517, 32, 1199, 1188, 6882, 2029, 619, 19176, 81, 1199, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 18730, 2348, 13976, 26, 7132, 81, 1199, 32, 6829, 2348, 5141, 13976, 711, 284, 477, 2433, 284, 665, 6882, 81, 2029, 81, 6565, 26, 784, 711, 291, 415, 646, 19326, 26, 784, 30, 7610, 8771, 81, 2029, 81, 6565, 7831, 324, 630, 1114, 8771, 81, 2029, 81, 6565, 280, 308, 400, 1359, 32, 2109, 53, 32, 4898, 81, 8771, 81, 2029, 461, 400, 630, 32, 1028, 85, 32, 5350, 32, 2029, 81, 7095, 1157, 291, 442, 630, 1114, 8771, 81, 2029, 81, 6565, 284, 665, 3345, 81, 8771, 81, 2029, 81, 6728, 81, 325, 81, 7073, 26, 784, 30, 20664, 711, 291, 415, 646, 630, 32, 8771, 81, 2029, 81, 6565, 44, 324, 5776, 32, 2811, 2176, 463, 11700, 6882, 31, 2029, 5016, 32, 2847, 324, 20664, 32, 2546, 463, 8771, 31, 2029, 683, 284, 665, 1487, 81, 8771, 81, 2029, 26, 784, 30, 1619, 30, 6882, 81, 2029, 711, 291, 5776, 32, 2811, 41648, 1297, 81, 8771, 81, 2029, 346, 3823, 30, 6882, 81, 2029, 6132, 101, 638, 2113, 1750, 6882, 81, 2029, 27, 291, 415, 19326, 26, 784, 32, 1028, 85, 32, 5350, 30, 330, 4635, 81, 2029, 81, 1297, 7831, 324, 19176, 280, 6882, 81, 2029, 710, 8771, 81, 2029, 785, 324, 630, 32, 1028, 85, 32, 5350, 32, 4635, 81, 2029, 81, 1297, 26, 1819, 30, 19176, 27, 291, 19176, 280, 2599, 26, 6829, 2348, 13976, 30, 630, 547, 1297, 81, 8771, 81, 2029, 26, 324, 1619, 30, 6882, 81, 2029, 27, 291, 442, 630, 32, 11432, 81, 8771, 81, 2029, 81, 325, 81, 2584, 26, 1819, 30, 19176, 27, 284, 665, 1974, 81, 8771, 81, 2029, 26, 784, 30, 1619, 30, 804, 30, 6882, 81, 2029, 711, 291, 5776, 32, 2811, 41648, 1877, 81, 8771, 81, 2029, 346, 3823, 30, 313, 528, 313, 314, 6132, 26, 314, 27, 101, 6882, 81, 2029, 6132, 26, 8771, 81, 2029, 27, 101, 638, 2113, 1750, 5053, 314, 950, 804, 30, 330, 8771, 81, 2029, 950, 6882, 81, 2029, 1748, 291, 19176, 81, 605, 280, 6882, 81, 2029, 710, 8771, 81, 2029, 785, 291, 415, 19326, 26, 784, 32, 1028, 85, 32, 5350, 30, 330, 4635, 81, 2029, 81, 1877, 7831, 324, 630, 32, 1028, 85, 32, 5350, 32, 4635, 81, 2029, 81, 1877, 26, 1819, 30, 19176, 81, 605, 27, 291, 19176, 81, 1455, 280, 630, 32, 371, 81, 8771, 81, 2029, 26, 1819, 30, 804, 27, 291, 19176, 280, 2599, 26, 6829, 2348, 13976, 30, 630, 547, 1877, 81, 8771, 81, 2029, 26, 324, 1619, 30, 804 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 10, 10, 13, 14, 14, 12, 13, 13, 13, 13, 13, 11, 11, 11, 15, 16, 16, 14, 15, 13, 14, 14, 14, 13, 5, 5, 6, 7, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 8, 8, 8, 8, 8, 5, 5, 5, 9, 10, 9, 11, 13, 13, 13, 13, 13, 13, 13, 6, 6, 9, 10, 9, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 8, 8, 7, 4, 4, 5, 7, 10, 9, 10, 10, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 5, 5, 8, 8, 10, 10, 9, 11, 11, 11, 11, 6, 6, 11, 12, 12, 10, 11, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 4, 4, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 9, 9, 8, 4, 4, 5, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 11, 11, 9, 8, 8, 11, 11, 11, 11, 9, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 8, 7, 9, 9, 9, 9, 4, 4, 5, 7, 10, 9, 10, 10, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 5, 5, 11, 12, 12, 10, 11, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 10, 9, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 3, 3, 0, 2, 2, 0, 1, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 3, 3, 3, 3, 2, 0, 4, 4, 0, 1, 2, 1, 4, 1, 6, 4, 4, 3, 3, 2, 0, 5, 5, 0, 1, 2, 1, 4, 1, 6, 5, 5, 0, 3, 3, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 7, 7, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 7, 7, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 4, 4, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 4, 4, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 3, 3, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 3, 3, 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, 2, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 2, 3, 2, 2, 3, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1 ]
[ 1277, 21329, 203, 37632, 14507, 81, 26580, 280, 5053, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 370, 528, 330, 1648, 950, 330, 35, 32, 34, 6040, 203, 24021, 2893, 280, 1524, 203, 1647, 44, 3962, 2090, 81, 7236, 203, 4021, 81, 2310, 44, 31580, 27058, 2090, 6883, 21970, 203, 2310, 44, 334, 429, 2648, 30, 3345, 30, 1477, 30, 4719, 461, 47874, 27058, 2090, 6883, 21970, 203, 1648, 81, 11043, 44, 313, 35, 32, 43, 20, 203, 2184, 44, 334, 636, 44, 284, 2129, 44, 861, 284, 3048, 44, 397, 429, 886, 6864, 636, 334, 1603, 44, 284, 2129, 44, 861, 284, 16682, 44, 428, 330, 2689, 370, 330, 3596, 304, 370, 330, 9771, 370, 330, 32100, 25, 1481, 284, 3048, 44, 397, 429, 4417, 5024, 33, 3596, 304, 7279, 415, 312, 6864, 5375, 556, 646, 30, 291, 793, 7307, 33, 32100, 372, 3498, 561, 1182, 24144, 32, 334, 4904, 44, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 3048, 44, 397, 429, 1682, 432, 17758, 372, 793, 436, 2379, 299, 461, 3203, 1226, 4705, 334, 3408, 44, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 3048, 44, 397, 429, 20682, 2196, 15871, 308, 979, 10362, 2379, 299, 14998, 27, 334, 37385, 44, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 3048, 44, 397, 429, 41273, 2385, 436, 6864, 334, 2099, 84, 1731, 44, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 3048, 44, 397, 429, 399, 4506, 1731, 2385, 436, 6864, 284, 1503, 81, 11043, 44, 313, 36, 32, 37, 20, 334, 14881, 1221, 44, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 3048, 44, 397, 429, 45082, 2385, 436, 6864, 334, 1214, 462, 1464, 44, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 3048, 44, 397, 429, 3645, 462, 277, 2385, 436, 6864, 284, 1503, 81, 11043, 44, 313, 36, 32, 36, 20, 334, 3346, 642, 49080, 44, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 3048, 44, 397, 429, 4761, 47638, 2385, 436, 6864, 284, 1503, 81, 11043, 44, 313, 36, 32, 36, 20, 334, 11337, 44, 284, 2129, 44, 901, 284, 16682, 44, 428, 330, 9374, 370, 330, 5334, 934, 370, 330, 9374, 30, 5334, 934, 25, 1481, 284, 1244, 44, 330, 9374, 25, 284, 3048, 44, 397, 429, 23624, 827, 436, 6864, 334, 3203, 6758, 44, 284, 2129, 44, 901, 284, 1244, 44, 744, 284, 3048, 44, 397, 429, 10349, 1226, 7842, 544, 13602, 32, 21138, 3203, 1226, 7842, 883, 526, 18604, 810, 47078, 284, 20664, 44, 2107, 39223, 785, 334, 1477, 81, 267, 81, 1297, 44, 284, 16682, 44, 428, 330, 7134, 370, 330, 1347, 785, 284, 2129, 44, 901, 284, 1244, 44, 330, 7134, 25, 284, 3048, 44, 397, 429, 27870, 4946, 322, 6864, 438, 7307, 2685, 10064, 556, 646, 30, 10071, 372, 9155, 334, 316, 10401, 44, 284, 16682, 44, 428, 330, 7134, 370, 330, 1347, 785, 284, 2129, 44, 901, 284, 1244, 44, 330, 1347, 25, 284, 3048, 44, 397, 429, 27870, 4946, 322, 4904, 438, 316, 41058, 2685, 3404 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 36387, 37, 203, 465, 11171, 203, 1070, 36387, 37, 32, 35071, 32, 8425, 1188, 3891, 30, 29489, 203, 1070, 36387, 1262, 32, 11452, 1188, 5675, 924, 203, 823, 9205, 3216, 44, 284, 665, 1156, 1664, 3207, 784, 30, 3992, 1599, 711, 291, 630, 32, 1274, 280, 36387, 37, 32, 3142, 463, 35071, 1814, 1599, 26, 3245, 1599, 27, 284, 665, 622, 3782, 26, 784, 30, 3992, 606, 711, 291, 1596, 44, 324, 1789, 280, 630, 32, 1274, 32, 371, 81, 1094, 26, 400, 3891, 1279, 528, 330, 3245, 31, 314, 950, 3992, 606, 400, 320, 324, 829, 291, 2940, 5675, 924, 619, 484, 44, 324, 1459, 26, 87, 32, 1986, 710, 924, 4902, 1175, 3490, 324, 442, 1665, 291, 813, 44, 324, 1623, 280, 1789, 710, 1097, 785, 324, 442, 1623, 284, 665, 1487, 3782, 26, 784, 30, 1359, 711, 291, 3992, 606, 280, 596, 26, 6572, 32, 6572, 38, 1157, 291, 1789, 280, 630, 32, 1274, 32, 524, 81, 1094, 26, 324, 6324, 1279, 400, 330, 3245, 31, 314, 950, 3992, 606, 30, 400, 330, 3245, 31, 3958, 950, 1359, 324, 320, 291, 829, 291, 442, 3992, 606, 284, 665, 1974, 1562, 4411, 26, 784, 30, 3992, 606, 711, 291, 1459, 463, 29875, 3992, 3627, 436, 3117, 683, 291, 1789, 280, 225, 630, 32, 1274, 32, 1877, 81, 1094, 26, 324, 3891, 1279, 400, 330, 3245, 31, 314, 950, 3992, 606, 324, 801, 324, 4000, 3487, 347, 470, 588, 61, 280, 499, 95, 392, 324, 10292, 2212, 4109, 1279, 400, 5100, 61, 2510, 3245, 31, 1517, 20, 324, 801, 324, 10292, 2212, 3354, 1279, 400, 14589, 95, 950, 313, 25690, 392, 324, 801, 324, 2744, 3354, 347, 44128, 81, 11356, 20, 291, 829, 291, 442, 1789, 284, 665, 1974, 1562, 924, 26, 784, 30, 3992, 606, 711, 291, 1459, 463, 29875, 3992, 3627, 436, 1048, 683, 284, 665, 1974, 1554, 41395, 26, 784, 30, 3992, 606, 30, 48615, 711, 291, 1789, 280, 225, 630, 32, 1274, 32, 1877, 81, 1094, 26, 324, 3891, 1279, 400, 330, 3245, 31, 314, 950, 3992, 606, 324, 801, 324, 4000, 3487, 347, 470, 588, 61, 280, 499, 95, 392, 324, 10292, 2212, 4109, 1279, 400, 5100, 61, 2510, 1436, 31, 314, 20, 324, 801, 324, 10292, 2212, 3354, 1279, 400, 14589, 95, 950, 48615, 30, 324, 801, 324, 2744, 3354, 347, 2320, 81, 11356, 20, 291, 829, 291, 442, 1789, 710, 5086, 785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 11, 10, 11, 10, 12, 12, 9, 8, 9, 9, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 8, 11, 12, 10, 11, 11, 11, 10, 10, 10, 11, 12, 12, 15, 15, 15, 15, 13, 14, 12, 12, 10, 10, 5, 5, 6, 8, 7, 7, 6, 6, 6, 10, 14, 13, 14, 12, 14, 14, 13, 13, 7, 7, 8, 5, 5, 6, 6, 6, 9, 9, 10, 12, 12, 7, 7, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 11, 10, 11, 11, 10, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 8, 8, 9, 10, 10, 13, 13, 13, 13, 11, 12, 10, 10, 10, 13, 13, 13, 13, 11, 10, 10, 8, 8, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 6, 9, 10, 8, 9, 9, 9, 8, 8, 8, 9, 10, 10, 13, 13, 13, 13, 11, 12, 10, 10, 8, 8, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 10, 10, 13, 13, 13, 13, 13, 13, 10, 10, 8, 8, 10, 10, 9, 10, 10, 13, 13, 11, 13, 13, 10, 10, 8, 8, 10, 9, 11, 11, 11, 11, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 6, 9, 10, 8, 9, 9, 9, 8, 8, 8, 9, 10, 10, 13, 13, 13, 13, 11, 12, 10, 10, 8, 8, 10, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 10, 10, 13, 13, 13, 13, 13, 13, 10, 10, 8, 8, 10, 10, 9, 10, 10, 13, 13, 11, 10, 10, 10, 8, 8, 10, 9, 11, 11, 11, 11, 8, 8, 4, 4, 5, 6, 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 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 4, 4, 1, 4, 4, 4, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 3, 0, 1, 1, 3, 3, 3, 1, 0, 0, 2, 0, 1, 2, 1, 2, 3, 3, 1, 0, 0, 4, 4, 4, 0, 0, 2, 1, 2, 2, 2, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 4, 4, 2, 1, 3, 3, 3, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 7, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 9, 1, 1, 1, 2, 1, 1, 4, 4, 2, 3, 3, 4, 1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 3, 3, 5, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 7, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 9, 1, 1, 1, 2, 1, 1, 4, 4, 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 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 34, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 13060, 81, 1199, 203, 4021, 81, 2310, 44, 2222, 556, 3345, 15894, 22026, 645, 312, 6562, 3408, 32, 203, 2310, 44, 664, 429, 2222, 556, 3345, 15894, 22026, 645, 312, 6562, 3408, 32, 203, 1648, 81, 11043, 44, 313, 34, 32, 40, 20, 203, 2184, 44, 334, 636, 44, 284, 3048, 44, 397, 429, 636, 432, 322, 3500, 372, 1015, 556, 3345, 397, 429, 636, 47, 464, 10709, 1755, 526, 3943, 415, 439, 26, 1293, 27, 438, 390, 26, 5937, 27, 556, 390, 26, 465, 547, 397, 429, 415, 636, 47, 464, 30915, 2124, 769, 464, 31, 23394, 2470, 436, 13060, 5937, 308, 11029, 328, 225, 36, 32, 34, 27, 284, 2129, 44, 861, 284, 1244, 44, 744, 284, 20664, 44, 428, 3082, 1481, 334, 1603, 44, 284, 3048, 44, 397, 429, 886, 3500, 1603, 284, 2129, 44, 901, 284, 1244, 44, 5024, 284, 16682, 44, 428, 313, 2689, 392, 313, 3596, 304, 392, 313, 5937, 392, 313, 465, 20, 1481, 334, 26134, 44, 284, 3048, 44, 397, 429, 2561, 3808, 2926, 308, 34427, 547, 1348, 1755, 16642, 372, 537, 1858, 33, 23394, 461, 1957, 646, 1974, 4905, 11668, 30, 458, 438, 312, 12702, 432, 15894, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 7328, 44, 284, 3048, 44, 397, 429, 20112, 2926, 372, 793, 30, 8272, 2305, 390, 26, 3310, 42, 27, 556, 390, 26, 23423, 35, 81, 1586, 318, 1708, 81, 1871, 27, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 1760, 44, 284, 3048, 44, 397, 429, 10634, 30, 544, 322, 6562, 3408, 30, 432, 322, 10128, 803, 372, 1491, 645, 556, 2866, 372, 32, 1683, 15823, 4428, 291, 2276, 308, 53, 13157, 2602, 490, 619, 4487, 619, 323, 3969, 36, 308, 53, 13157, 13910, 36, 3662, 24297, 308, 53, 13157, 6680, 490, 461, 816, 108, 308, 11029, 328, 225, 36, 32, 34, 27, 21331, 2276, 884, 5420, 32, 284, 2129, 44, 901, 334, 3982, 81, 6554, 44, 284, 3048, 44, 397, 429, 13005, 322, 10128, 328, 312, 3982, 6141, 284, 2129, 44, 901, 284, 1244, 44, 901, 284, 1503, 81, 11043, 44, 313, 36, 32, 35, 20, 334, 8271, 44, 284, 3048, 44, 397, 429, 3659, 1654, 436, 10128, 299, 7622, 10343, 284, 2129, 44, 901, 284, 1244, 44, 861, 284, 1503, 81, 11043, 44, 313, 36, 32, 35, 20, 203, 2116, 44, 313, 1045, 21581, 7349, 12641, 20, 203, 15965, 44, 664, 429, 13060, 308, 2501, 1628, 5298, 27, 664, 429, 13060, 5937, 308, 2501, 1628, 5298, 27, 203, 8886, 44, 664, 429, 33242, 322, 4262, 31, 7534, 1199, 2652, 544, 322, 6562, 3408, 30, 619, 4487, 619, 13060, 461, 13060, 5937, 26672, 32, 203, 9971, 81, 10270, 81, 9854, 44, 13060, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 636, 44, 2648, 312, 537, 3500, 623, 636, 330, 23239, 605, 25 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 465, 316, 203, 465, 1671, 203, 465, 7395, 14510, 203, 505, 464, 505, 280, 428, 284, 330, 4434, 370, 330, 5460, 370, 330, 4434, 800, 370, 330, 5460, 800, 370, 284, 330, 84, 40, 38, 4434, 370, 330, 84, 40, 38, 5460, 370, 330, 84, 37, 36, 4434, 370, 330, 84, 37, 36, 5460, 370, 284, 330, 84, 35, 40, 4434, 370, 330, 84, 35, 40, 5460, 370, 284, 330, 9138, 81, 84, 40, 38, 4434, 370, 330, 9138, 81, 84, 40, 38, 5460, 370, 284, 330, 965, 4770, 81, 84, 40, 38, 4434, 370, 330, 965, 4770, 81, 84, 40, 38, 5460, 370, 284, 1481, 203, 81, 7485, 280, 428, 9918, 2176, 106, 27, 436, 617, 106, 328, 2155, 26, 36, 39, 40, 2177, 203, 13073, 5203, 280, 4247, 203, 589, 617, 7393, 26, 101, 30, 3372, 13000, 711, 284, 13178, 280, 617, 7485, 31445, 284, 436, 831, 30, 354, 328, 3372, 13000, 32, 3028, 2262, 291, 13178, 77, 655, 26, 93, 2177, 280, 354, 284, 442, 309, 32, 7393, 463, 2473, 2524, 26, 7485, 490, 203, 589, 323, 40, 38, 4434, 26, 101, 30, 3372, 13000, 47, 2521, 711, 284, 11830, 280, 7395, 14510, 32, 84, 36, 83, 81, 1439, 40, 38, 26, 101, 27, 20129, 35, 79, 284, 415, 3372, 13000, 438, 646, 1665, 44, 291, 442, 617, 7393, 26, 12596, 30, 5053, 29, 950, 3372, 13000, 77, 34, 614, 3056, 950, 3372, 13000, 77, 35, 33993, 284, 442, 11830, 203, 589, 323, 40, 38, 5460, 26, 101, 30, 3372, 13000, 47, 2521, 711, 284, 415, 3372, 13000, 438, 646, 1665, 44, 291, 309, 280, 617, 7393, 26, 101, 30, 301, 3825, 13000, 77, 34, 2786, 21645, 3372, 13000, 77, 35, 2786, 13637, 1748, 284, 1596, 44, 291, 442, 7395, 14510, 32, 83, 36, 84, 81, 1439, 40, 38, 26, 101, 27, 284, 2940, 7395, 14510, 32, 924, 30, 3124, 44, 291, 3636, 12678, 26, 2076, 27, 203, 589, 6216, 81, 84, 40, 38, 4434, 26, 101, 711, 284, 442, 323, 40, 38, 4434, 26, 101, 27, 203, 589, 6216, 81, 84, 40, 38, 5460, 26, 101, 711, 284, 442, 323, 40, 38, 5460, 26, 101, 27, 203, 589, 1984, 4770, 81, 84, 40, 38, 4434, 26, 101, 711, 284, 442, 323, 40, 38, 4434, 26, 101, 30, 6470, 81, 683, 203, 589, 1984, 4770, 81, 84, 40, 38, 5460, 26, 101, 711, 284, 442, 323, 40, 38, 5460, 26, 101, 30, 6470, 81, 683, 203, 81, 84, 37, 36, 33185, 280, 301, 275, 34, 44, 330, 51, 370, 261, 43, 44, 330, 60, 370, 225, 35, 42, 44, 330, 69, 370, 225, 36, 41, 44, 330, 37, 370, 275, 35, 44, 330, 52, 370, 225, 35, 34, 44, 330, 61, 370, 225, 35, 43, 44, 330, 70, 370, 225, 36, 42, 44, 330, 38, 370, 275, 36, 44, 330, 53, 370, 225, 35, 35, 44, 330, 62, 370, 225, 36, 34, 44, 330, 71, 370, 225, 36, 43, 44, 330, 39, 370, 275, 37, 44, 330, 54, 370, 225, 35, 36, 44, 330, 63, 370, 225, 36, 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, 0, 1, 1, 0, 1, 1, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 2, 2, 5, 5, 6, 5, 3, 4, 5, 4, 4, 6, 7, 7, 7, 6, 0, 3, 3, 2, 2, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 1, 1, 4, 4, 6, 5, 2, 2, 3, 4, 4, 3, 3, 6, 5, 6, 5, 3, 3, 7, 9, 9, 10, 9, 6, 6, 2, 2, 3, 5, 6, 5, 9, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 5, 8, 5, 2, 2, 3, 5, 4, 4, 4, 3, 3, 3, 5, 7, 7, 8, 7, 7, 11, 11, 9, 11, 10, 11, 10, 8, 11, 9, 11, 10, 11, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 3, 4, 2, 1, 1, 3, 5, 4, 4, 4, 3, 3, 3, 6, 6, 8, 8, 9, 8, 8, 12, 12, 11, 12, 11, 10, 9, 12, 11, 12, 11, 10, 9, 2, 2, 3, 3, 3, 5, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 3, 3, 4, 6, 5, 6, 4, 4, 4, 4, 4, 6, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 6, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 5, 6, 5, 5, 7, 7, 0, 3, 3, 3, 3, 3, 2, 2, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 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, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 2, 2, 3, 2, 6, 6, 0, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 4, 4, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 7, 7, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 2, 3, 0, 2, 2, 2, 4, 4, 2, 0, 8, 8, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 8, 8, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 3, 0, 0, 2, 0, 3, 3, 4, 4, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 0, 1, 2, 3, 3, 3, 3, 3, 0, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 3, 3, 1, 2, 2, 0, 0, 5, 5, 1, 2, 2, 0, 0, 7, 7, 1, 2, 2, 0, 9, 9, 1, 2, 2, 0, 0, 11, 11, 1, 2, 2, 0, 0, 13, 13, 1, 2, 2, 0, 0, 15, 15, 1, 2, 2, 0, 17, 17, 1, 2, 2, 0, 0, 19, 19, 1, 2, 2, 0, 0, 21, 21, 1, 2, 2, 0, 0, 23, 23, 1, 2, 2, 0, 25, 25, 1, 2, 2, 0, 0, 27, 27, 1, 2, 2, 0, 0 ]
[ 465, 11685, 203, 1070, 8527, 32, 2957, 32, 11400, 1188, 2305, 30, 15103, 30, 1984, 203, 1070, 8527, 32, 2304, 32, 44136, 1188, 26396, 383, 36115, 36, 34, 5711, 203, 1070, 638, 4338, 1188, 308, 284, 7976, 81, 5321, 81, 1071, 30, 10071, 81, 1071, 30, 3502, 81, 1071, 30, 3502, 81, 1071, 81, 9865, 30, 284, 3502, 81, 1071, 81, 21111, 30, 11815, 81, 1071, 30, 203, 27, 203, 2455, 81, 15719, 280, 428, 284, 1984, 26, 100, 25, 3780, 81, 983, 81, 1017, 9764, 370, 3502, 81, 1071, 30, 636, 1057, 3780, 81, 983, 81, 1017, 1425, 284, 1984, 26, 100, 25, 15377, 81, 983, 9764, 370, 11815, 81, 1071, 471, 203, 79, 203, 1793, 11685, 32, 5628, 81, 19991, 2262, 284, 11685, 32, 2029, 19991, 463, 3617, 370, 6215, 47, 16986, 383, 36115, 36, 34, 5711, 27, 284, 1984, 15719, 280, 15103, 22869, 291, 1984, 26, 100, 28249, 15778, 33, 2009, 34, 31, 43, 45760, 37143, 3502, 81, 1071, 30, 636, 1057, 15778, 1425, 291, 1984, 26, 100, 28249, 15778, 49, 9764, 370, 3502, 81, 1071, 30, 636, 347, 15778, 49, 2113, 291, 1984, 26, 100, 28249, 15778, 29, 9764, 370, 3502, 81, 1071, 30, 636, 347, 15778, 29, 2113, 291, 1984, 26, 100, 28249, 15778, 1958, 37143, 3502, 81, 1071, 30, 636, 347, 15778, 28, 2113, 291, 1984, 26, 100, 28249, 18470, 15778, 4242, 33113, 370, 3502, 81, 1071, 30, 636, 347, 15778, 36, 49, 2113, 291, 1984, 26, 100, 28249, 18470, 15778, 4242, 19918, 370, 3502, 81, 1071, 30, 636, 347, 15778, 36, 29, 2113, 291, 1984, 26, 100, 28249, 18470, 15778, 4242, 29481, 370, 3502, 81, 1071, 30, 636, 347, 15778, 36, 28, 2113, 291, 1984, 26, 100, 28249, 15778, 33, 2009, 34, 31, 43, 6155, 10182, 83, 31, 108, 81, 45760, 370, 3502, 81, 1071, 30, 636, 347, 15778, 37, 2113, 291, 1984, 26, 100, 28249, 15778, 33, 12390, 66, 46, 314, 8828, 34, 31, 43, 45760, 37143, 3502, 81, 1071, 30, 636, 347, 15778, 38, 2113, 291, 1984, 26, 100, 28249, 16607, 33, 12390, 66, 46, 426, 5213, 105, 41341, 37143, 3502, 81, 1071, 30, 636, 347, 16607, 2113, 291, 1984, 26, 100, 28249, 16607, 13824, 2805, 426, 4242, 370, 3502, 81, 1071, 30, 636, 347, 16607, 36, 2113, 291, 1984, 26, 100, 28249, 16607, 13824, 2805, 426, 33, 4987, 105, 41341, 6505, 370, 3502, 81, 1071, 30, 636, 347, 16607, 36, 83, 2113, 291, 1984, 26, 100, 28249, 16607, 33, 12390, 66, 46, 426, 5213, 105, 24913, 7374, 49, 66, 47, 426, 4165, 37143, 3502, 81, 1071, 30, 636, 347, 16607, 81, 975, 612, 2113, 291, 1984, 26, 100, 28249, 5301, 33, 12390, 66, 46, 426, 48, 3424, 4165, 18470, 33581, 4242, 20787, 3502, 81, 1071, 30, 636, 347, 5301, 2113, 291, 1984, 26, 100, 28249, 10060, 6202, 9764, 370, 3502, 81, 1071, 30, 636, 347, 10060, 6202, 2113, 291, 1984, 26, 100, 28249, 10060, 6202, 33, 1427, 8169, 4682, 37143, 3502, 81, 1071, 30, 636, 347, 10060, 6202, 36, 2113, 291, 1984, 26, 100, 28249, 16607, 33, 12390, 66, 46, 1293, 5213 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 5, 5, 6, 8, 8, 8, 8, 8, 8, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 5, 3, 3, 0, 1, 1, 5, 6, 6, 6, 5, 1, 1, 5, 6, 6, 5, 7, 7, 5, 6, 7, 7, 7, 7, 7, 7, 5, 2, 2, 5, 4, 4, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 8, 9, 11, 11, 11, 11, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 2, 0, 5, 5, 0, 2, 2, 2, 1, 5, 5, 0, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 638, 1188, 9045, 959, 30, 9045, 1653, 30, 19660, 203, 1070, 638, 24894, 1188, 11557, 81, 5823, 203, 15696, 81, 20866, 280, 428, 106, 436, 816, 328, 2155, 26, 35, 36, 42, 30, 225, 35, 40, 34, 34, 30, 225, 40, 38, 2177, 203, 589, 6042, 81, 5566, 81, 891, 26, 5566, 81, 853, 711, 284, 4117, 81, 853, 280, 629, 26, 18502, 81, 5823, 26, 5566, 81, 853, 490, 284, 415, 4117, 81, 853, 646, 328, 23605, 5645, 81, 20866, 44, 291, 3636, 10091, 440, 16153, 4540, 4117, 1334, 2298, 526, 1591, 432, 3491, 96, 904, 101, 20, 904, 656, 3003, 4939, 2524, 26, 466, 26, 1232, 27, 436, 6785, 328, 23605, 5645, 81, 20866, 490, 284, 442, 4117, 81, 853, 203, 823, 4402, 26, 10645, 1653, 711, 284, 5576, 280, 301, 291, 330, 69, 37, 9001, 950, 308, 1439, 800, 30, 3177, 471, 291, 330, 69, 37, 953, 950, 308, 1439, 800, 30, 3177, 471, 291, 330, 69, 37, 959, 2062, 950, 308, 1439, 800, 30, 3177, 471, 291, 330, 13567, 974, 950, 308, 1439, 800, 30, 3177, 27, 284, 320, 284, 477, 16099, 284, 665, 1505, 81, 3969, 81, 761, 26, 3969, 81, 761, 711, 291, 28479, 280, 225, 38, 34, 43, 40, 291, 4559, 788, 280, 308, 324, 313, 13567, 974, 3104, 4881, 27419, 904, 86, 7125, 32, 2616, 14324, 313, 324, 313, 1855, 793, 358, 37, 9001, 33, 69, 37, 953, 4308, 4174, 32, 313, 324, 313, 3059, 3104, 44, 904, 86, 20, 291, 829, 291, 415, 8529, 81, 761, 438, 1665, 44, 324, 442, 291, 415, 6937, 26, 3969, 81, 761, 30, 1695, 800, 711, 324, 1288, 81, 1322, 280, 2069, 26, 3969, 81, 761, 27, 324, 415, 1288, 81, 1322, 848, 28479, 44, 400, 3636, 10091, 26, 3732, 788, 904, 308, 34540, 30, 1288, 81, 1322, 490, 324, 442, 291, 415, 6937, 26, 3969, 81, 761, 30, 19660, 711, 324, 19713, 30, 2078, 280, 8529, 81, 761, 32, 605, 710, 7602, 403, 6249, 785, 324, 415, 646, 2078, 556, 2069, 26, 2810, 27, 2511, 225, 34, 44, 400, 442, 324, 415, 6937, 26, 24888, 30, 1695, 800, 711, 400, 343, 81, 1322, 280, 2069, 26, 24888, 27, 324, 813, 44, 400, 343, 81, 1322, 280, 225, 34, 324, 354, 81, 27959, 280, 428, 1657, 26, 104, 27, 436, 354, 328, 2078, 415, 6937, 26, 104, 30, 1695, 800, 2177, 324, 1288, 81, 1322, 280, 3632, 26, 104, 81, 27959, 27, 324, 1288, 81, 1322, 1454, 308, 1657, 26, 2810, 7824, 35, 27, 319, 343, 81, 1322, 324, 415, 1288, 81, 1322, 848, 28479, 44, 400, 3636, 10091, 26, 3732, 788, 904, 308, 34540, 30, 1288, 81, 1322, 490, 324, 442, 284, 665, 6042, 26, 784, 711, 291, 8529, 81, 761, 280, 630, 32, 4642, 32, 371, 463, 13567, 974, 683, 291, 309, 37, 81, 6452, 280, 630, 32, 4642, 32, 371, 463, 69, 37, 9001, 683, 291, 309, 37, 81, 678, 280, 630, 32, 4642, 32, 371, 463, 69, 37, 953, 683, 291, 309, 37, 81, 1473, 81, 1648, 280, 630, 32, 4642, 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, 3, 1, 1, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 6, 7, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 8, 8, 8, 8, 9, 9, 9, 8, 2, 2, 3, 5, 5, 4, 4, 4, 5, 5, 5, 3, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 8, 8, 8, 12, 11, 10, 12, 12, 13, 12, 10, 11, 11, 11, 12, 12, 12, 10, 2, 2, 3, 4, 4, 0, 1, 1, 2, 3, 3, 2, 1, 1, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 8, 7, 7, 7, 5, 5, 8, 8, 8, 8, 6, 8, 8, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 6, 8, 8, 7, 7, 7, 5, 5, 8, 8, 8, 6, 8, 8, 7, 7, 7, 5, 5, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 6, 6, 5, 4, 4, 7, 7, 8, 8, 8, 8, 5, 5, 8, 7, 7, 8, 8, 11, 11, 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, 9, 9, 11, 11, 11, 11, 11, 11, 8, 8, 5, 5, 6, 8, 8, 7, 7, 6, 6, 6, 5, 5, 6, 8, 9, 9, 9, 8, 8, 9, 8, 6, 6, 10, 10, 9, 9, 11, 12, 12, 12, 11, 7, 7, 8, 10, 10, 9, 9, 8, 8, 8, 10, 12, 14, 14, 13, 13, 15, 14, 14, 15, 15, 14, 7, 7, 5, 5, 6, 8, 9, 9, 9, 8, 8, 8, 6, 6, 10, 10, 9, 9, 12, 12, 11, 12, 10, 12, 12, 12, 12, 7, 7, 8, 10, 9, 9, 12, 13, 12, 10, 10, 11, 8, 8, 8, 7, 7, 8, 10, 11, 10, 10, 11, 10, 8, 8, 12, 12, 11, 11, 13, 14, 13, 8, 8, 9, 9, 9, 13, 13, 12, 12, 13, 7, 7, 10, 10, 9, 9, 12, 12, 13, 12, 10, 11, 11, 11, 10, 11, 13, 14, 13, 13, 14, 13, 7, 7, 10, 10, 9, 9, 11, 12, 12, 12, 11, 7, 7, 10, 10, 9, 9, 14, 14, 15, 14, 13, 11, 10, 10, 11, 11, 7, 7, 8, 10, 10, 9, 9, 8, 8, 8, 10, 12, 14, 14, 13, 13, 15, 14, 14, 15, 15, 14, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 6, 6, 9, 10, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 1, 0, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 1, 4, 4, 2, 1, 1, 0, 4, 4, 2, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 5, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 7, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 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, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 3, 3, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 3, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 3, 3, 6, 0, 0, 1, 1, 6, 6, 6, 0, 1, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 7976, 81, 465, 30, 1459, 81, 1126, 203, 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 465, 1360, 203, 465, 1933, 203, 465, 12460, 203, 465, 821, 4775, 203, 465, 29590, 203, 465, 16539, 203, 465, 22977, 203, 465, 1673, 2304, 203, 1070, 1673, 2304, 32, 4275, 1188, 9306, 2304, 924, 203, 1270, 44, 284, 739, 203, 7343, 3270, 924, 44, 284, 645, 6900, 1188, 1756, 619, 739, 203, 1070, 6436, 32, 2452, 2304, 32, 8524, 1188, 622, 81, 3893, 203, 505, 464, 505, 280, 2107, 2324, 370, 330, 371, 81, 10337, 81, 1017, 81, 15615, 370, 330, 1536, 81, 1163, 81, 2665, 370, 2607, 330, 2665, 81, 1689, 370, 330, 1689, 983, 370, 330, 5536, 81, 1163, 81, 978, 370, 2607, 330, 371, 81, 3515, 370, 330, 464, 983, 370, 330, 371, 81, 3812, 8820, 370, 2607, 330, 16914, 81, 2040, 81, 8717, 370, 330, 1092, 81, 878, 370, 330, 6555, 81, 878, 370, 330, 14970, 81, 878, 370, 2607, 330, 5466, 81, 878, 370, 330, 31182, 81, 878, 370, 330, 2479, 89, 36, 4463, 37, 36, 370, 330, 37170, 37, 36, 370, 330, 464, 81, 8352, 370, 2607, 330, 2040, 81, 88, 81, 11250, 370, 330, 2040, 81, 21937, 81, 11250, 370, 330, 2029, 81, 11250, 370, 2607, 330, 371, 81, 10950, 370, 330, 297, 81, 1696, 81, 1617, 81, 1515, 370, 330, 371, 81, 407, 81, 1855, 81, 2536, 370, 2607, 330, 371, 81, 1423, 81, 2536, 370, 330, 371, 81, 1356, 81, 1855, 81, 2536, 370, 330, 371, 81, 605, 81, 2536, 370, 2607, 330, 4260, 81, 2524, 370, 330, 371, 81, 1744, 370, 330, 887, 2808, 983, 370, 330, 96, 2524, 370, 2607, 330, 297, 81, 7508, 370, 330, 297, 81, 800, 370, 330, 302, 81, 668, 370, 330, 89, 8478, 370, 330, 371, 81, 4189, 370, 2607, 330, 7345, 81, 1132, 370, 330, 371, 81, 1832, 81, 19362, 370, 330, 371, 81, 1338, 370, 330, 371, 81, 4652, 81, 1338, 785, 203, 823, 6741, 444, 6508, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 1968, 81, 1338, 30, 1760, 81, 1515, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 1832, 81, 1338, 280, 1968, 81, 1338, 291, 630, 32, 1977, 81, 1515, 280, 1760, 81, 1515, 203, 589, 15358, 81, 1132, 26, 1132, 711, 284, 2181, 280, 1149, 26, 1132, 27, 284, 436, 595, 328, 2155, 26, 1657, 26, 1132, 8531, 291, 312, 280, 2181, 77, 91, 79, 291, 415, 330, 330, 328, 312, 461, 312, 77, 34, 79, 646, 328, 6113, 6945, 950, 324, 2181, 77, 91, 79, 280, 6113, 23, 101, 14891, 904, 308, 83, 27, 284, 442, 2181, 203, 589, 1169, 983, 26, 426, 711, 284, 313, 6720, 312, 517, 31, 26398, 29101, 372, 1591, 1471, 322, 6642, 1182, 1519, 17584, 3107, 284, 6122, 3251, 280, 636, 32, 2998, 24667, 284, 442, 2322, 32, 983, 32, 2524, 2740, 2998, 3251, 27, 203, 589, 1875, 81, 983, 26, 983, 30, 2935, 81, 983, 711, 284, 6121, 280, 2322, 32, 983 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 4, 4, 4, 5, 5, 0, 1, 1, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 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, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 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, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 5, 7, 7, 8, 7, 3, 3, 6, 6, 7, 8, 7, 4, 4, 5, 9, 7, 7, 6, 6, 8, 9, 8, 7, 7, 7, 10, 9, 5, 5, 9, 10, 9, 8, 8, 11, 11, 11, 9, 9, 11, 10, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 3, 6, 7, 5, 6, 5, 7, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 0, 12, 12, 0, 1, 2, 12, 12, 0, 0, 0, 13, 13, 13, 13, 13, 3, 3, 1, 3, 3, 3, 0, 0, 0, 3, 3, 0, 14, 14, 1, 2, 2, 1, 4, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 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, 0, 16, 16, 1, 1, 2, 1, 2, 16, 16, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 17, 17, 1, 1, 2, 1, 2, 17, 17, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 5, 5, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 4, 4, 2, 0, 18, 18, 1, 2, 1, 2, 18, 18, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 19, 19, 1, 1, 2, 1, 2, 2, 3, 3, 2, 19, 19, 0, 0, 0, 2 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 2322, 203, 1070, 28520, 32, 4275, 1188, 35603, 2825, 924, 203, 1070, 28520, 32, 26801, 1188, 45402, 203, 823, 14580, 34458, 26, 34458, 711, 284, 665, 1156, 1664, 3207, 784, 30, 803, 81, 9387, 47, 2665, 22805, 291, 1201, 827, 26, 761, 81, 9387, 27, 610, 5436, 291, 630, 1114, 761, 81, 9387, 280, 803, 81, 9387, 291, 630, 1114, 1832, 81, 3737, 81, 24015, 346, 291, 2599, 26, 7167, 34458, 30, 630, 14585, 1664, 16369, 284, 665, 2454, 81, 1070, 81, 761, 26, 784, 30, 1519, 711, 291, 415, 1519, 328, 630, 1114, 761, 81, 9387, 44, 324, 442, 630, 32, 944, 26, 784, 1114, 761, 81, 9387, 77, 983, 614, 1519, 27, 291, 442, 1665, 284, 665, 617, 371, 81, 761, 81, 8078, 26, 784, 30, 1519, 711, 291, 415, 1519, 328, 630, 1114, 761, 81, 9387, 44, 324, 442, 308, 784, 1114, 761, 81, 9387, 77, 983, 614, 3177, 27, 291, 813, 44, 324, 3636, 35603, 2825, 924, 440, 761, 646, 2431, 44, 904, 101, 20, 904, 1519, 27, 284, 665, 1519, 81, 4658, 26, 784, 30, 1519, 711, 291, 442, 1519, 328, 630, 1114, 761, 81, 9387, 556, 1519, 328, 630, 1114, 3737, 81, 24015, 284, 665, 438, 81, 761, 26, 784, 30, 1519, 711, 291, 442, 1519, 328, 630, 1114, 761, 81, 9387, 284, 665, 438, 81, 5660, 26, 784, 30, 1519, 711, 291, 442, 1519, 328, 630, 1114, 3737, 81, 24015, 284, 665, 1149, 81, 5660, 26, 784, 30, 1519, 711, 291, 442, 428, 106, 436, 816, 328, 630, 1114, 3737, 81, 24015, 79, 284, 665, 617, 669, 81, 3737, 81, 5660, 26, 784, 30, 3362, 711, 291, 415, 3362, 646, 328, 630, 1114, 3737, 81, 24015, 44, 324, 630, 1114, 3737, 81, 24015, 32, 1689, 26, 5660, 27, 284, 665, 617, 1832, 81, 3737, 81, 24015, 26, 784, 711, 291, 630, 1114, 3737, 81, 24015, 225, 280, 1605, 291, 436, 1519, 328, 630, 1114, 761, 81, 9387, 44, 324, 24797, 280, 2322, 32, 983, 32, 7781, 26, 983, 27, 324, 2218, 24797, 646, 328, 2726, 13093, 330, 7831, 400, 630, 1114, 669, 81, 3737, 81, 5660, 26, 7781, 27, 400, 24797, 280, 2322, 32, 983, 32, 7781, 26, 7781, 27, 284, 665, 5840, 26, 784, 30, 1519, 30, 1795, 711, 291, 24633, 81, 15615, 280, 3177, 291, 415, 1519, 646, 328, 630, 1114, 761, 81, 9387, 44, 324, 24633, 81, 15615, 280, 2933, 291, 630, 1114, 761, 81, 9387, 77, 983, 79, 280, 1795, 291, 415, 24633, 81, 15615, 44, 324, 630, 1114, 1832, 81, 3737, 81, 24015, 346, 284, 665, 4726, 26, 784, 30, 1519, 711, 291, 415, 1519, 328, 630, 1114, 761, 81, 9387, 44, 324, 3555, 630, 1114, 761, 81, 9387, 77, 983, 79, 324, 630, 1114, 1832, 81, 3737, 81, 24015, 346, 284, 665, 4233, 26, 784, 711, 291, 630, 1114, 761, 81, 9387, 280, 5436, 346, 291, 630, 1114, 3737, 81, 24015, 280, 1605, 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, 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, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 7, 7, 3, 3, 5, 8, 9, 9, 9, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 9, 10, 9, 12, 11, 12, 12, 12, 10, 11, 10, 9, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 11, 10, 11, 11, 11, 9, 10, 9, 8, 8, 5, 5, 6, 6, 6, 8, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 7, 8, 9, 9, 9, 6, 6, 7, 7, 8, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 6, 7, 7, 7, 8, 9, 9, 9, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 8, 8, 8, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 6, 4, 4, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 6, 6, 7, 8, 8, 8, 11, 9, 11, 7, 7, 11, 12, 12, 12, 12, 12, 11, 12, 11, 8, 8, 10, 10, 13, 14, 12, 13, 12, 13, 12, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 6, 6, 6, 7, 8, 8, 8, 5, 5, 5, 9, 9, 8, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 9, 10, 10, 10, 8, 9, 8, 6, 6, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 1 ]
[ 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, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 0, 0, 3, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 4, 4, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 1, 1, 2, 2, 2, 2, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 8, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 2, 2, 2, 0, 0, 0, 4, 4, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 9, 2, 1, 2, 2, 2, 2, 2, 9, 9, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 2, 0, 0, 0, 4, 4, 3, 1, 1, 3, 3, 3, 0, 2, 2, 2, 2, 2, 1, 4, 4, 10, 2, 1, 2, 2, 2, 10, 10, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 4, 4, 11, 2, 1, 2, 11, 11, 0, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 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, 2361, 203, 465, 2322, 203, 465, 316, 203, 465, 6234, 203, 465, 26313, 203, 1070, 18792, 32, 21332, 1188, 7155, 5068, 2059, 203, 1070, 18792, 32, 21332, 1188, 6234, 1786, 203, 1070, 14785, 32, 12023, 32, 3209, 32, 2958, 32, 4156, 1188, 6524, 1217, 81, 6308, 81, 4156, 619, 8668, 203, 1070, 14785, 32, 1262, 32, 2763, 1188, 2280, 81, 4365, 36, 203, 1070, 14785, 32, 1262, 32, 2846, 1188, 3738, 81, 4365, 36, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 706, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 11708, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 5239, 81, 7490, 619, 5741, 203, 1070, 14785, 32, 2958, 32, 1040, 1188, 8248, 203, 81, 12146, 280, 313, 858, 31, 2250, 20, 203, 81, 34093, 280, 313, 858, 31, 5613, 20, 203, 81, 6947, 280, 313, 858, 31, 1274, 20, 203, 81, 29756, 280, 3813, 34, 30, 313, 101, 81, 34, 392, 225, 34, 32, 35, 614, 428, 35, 30, 1665, 30, 1665, 614, 428, 36, 30, 313, 101, 81, 36, 392, 1665, 614, 428, 37, 30, 1665, 30, 225, 37, 32, 35, 614, 276, 428, 38, 30, 313, 101, 81, 38, 392, 1665, 614, 428, 39, 30, 1665, 30, 1665, 614, 428, 40, 30, 313, 101, 81, 40, 392, 225, 40, 32, 35, 614, 428, 41, 30, 1665, 30, 1665, 614, 276, 428, 42, 30, 313, 101, 81, 42, 392, 1665, 614, 428, 43, 30, 1665, 30, 225, 43, 32, 35, 3212, 203, 81, 20740, 280, 301, 284, 313, 5462, 563, 313, 45695, 21, 1274, 392, 284, 313, 314, 563, 313, 858, 31, 2250, 44, 858, 31, 5613, 32, 858, 31, 1274, 392, 284, 313, 3968, 563, 301, 291, 313, 4151, 563, 7316, 324, 313, 426, 563, 313, 410, 40, 38, 81, 748, 392, 324, 313, 681, 563, 313, 13773, 392, 324, 313, 2816, 563, 313, 3293, 2147, 20, 291, 801, 301, 324, 313, 426, 563, 313, 800, 81, 748, 392, 324, 313, 681, 563, 313, 5203, 392, 324, 313, 2816, 563, 313, 3293, 2147, 20, 291, 801, 301, 324, 313, 426, 563, 313, 1808, 81, 748, 392, 324, 313, 681, 563, 313, 10301, 392, 324, 313, 2816, 563, 313, 3293, 2147, 20, 291, 16752, 284, 320, 203, 111, 203, 589, 617, 6720, 2352, 705, 5297, 3489, 26, 643, 711, 334, 2280, 280, 2280, 81, 4365, 36, 32, 5297, 346, 334, 2280, 32, 5905, 32, 3274, 1365, 410, 40, 38, 81, 748, 6494, 410, 40, 38, 81, 668, 32, 853, 32, 1689, 26, 643, 77, 34, 1130, 334, 415, 2698, 77, 35, 79, 438, 646, 1665, 44, 284, 2280, 32, 5905, 32, 3274, 1365, 800, 81, 748, 6494, 3651, 81, 668, 32, 853, 32, 1689, 26, 291, 8248 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 3, 2, 3, 2, 3, 1, 1, 4, 4, 4, 4, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 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, 3, 3, 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, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 5, 4, 4, 6, 6, 6, 6, 4, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 6, 6, 6, 6, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 4, 4, 6, 6, 6, 6, 4, 4, 3, 5, 4, 4, 4, 4, 4, 3, 5, 4, 4, 6, 6, 6, 6, 4, 5, 5, 5, 4, 3, 5, 4, 4, 4, 4, 4, 3, 3, 5, 4, 4, 6, 6, 6, 6, 4, 4, 3, 5, 4, 4, 4, 4, 5, 5, 5, 4, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 7, 6, 7, 6, 2, 2, 10, 11, 9, 10, 8, 10, 10, 10, 10, 10, 10, 8, 8, 8, 8, 8, 6, 7, 5, 6, 5, 7, 6, 7, 6, 2, 2, 3, 5, 6, 5, 4, 4, 4, 3, 3, 3, 12, 13, 11, 12, 10, 12, 12, 12, 12, 10, 10, 10, 8, 9, 7, 8, 7, 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, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 1, 6, 1, 8, 10, 10, 0, 0, 0, 0, 0, 3, 3, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 0, 0, 0, 0, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 17, 17, 0, 18, 18, 1, 2, 1, 4, 18, 18, 0, 0, 3, 3, 0, 19, 19, 1, 2, 1, 4, 19, 19, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 5, 1, 2, 1, 3, 3, 3, 3, 3, 2, 1, 5, 5, 1, 1, 1, 2, 5, 5, 2, 1, 7, 7, 7, 7, 5, 5, 5, 7, 2, 2, 1, 9, 9, 1, 1, 1, 2, 9, 9, 2, 1, 11, 11, 11, 11, 11, 2, 1, 13, 13, 1, 1, 1, 2, 13, 5, 5, 5, 13, 2, 1, 15, 15, 15, 15, 15, 2, 2, 1, 17, 17, 1, 1, 1, 2, 17, 17, 2, 1, 19, 19, 19, 19, 5, 5, 5, 19, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 5, 1, 1, 2, 1, 1, 2, 3, 3, 1, 2, 1, 1, 1, 1, 2, 3, 3, 1, 2, 3, 1, 2, 3, 3, 1, 2, 5, 1, 1, 2, 3, 3, 2, 5, 5, 1, 2, 1, 1, 1, 1, 2, 5, 5, 1, 2, 3, 1, 2, 5, 5, 1, 2, 5, 1, 1, 2, 5, 5, 2, 2, 2, 2, 0, 25, 25, 1, 1, 1, 1, 1, 2, 1, 2, 25, 25, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1 ]
[ 465, 5741, 203, 823, 7139, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 1114, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 291, 630, 1114, 13410, 280, 5741, 32, 974, 1972, 26, 103, 18010, 2868, 33, 20203, 4669, 108, 32, 751, 683, 291, 4550, 280, 5741, 32, 8736, 4912, 26, 302, 27749, 27, 101, 429, 18147, 426, 27, 101, 429, 18147, 2649, 426, 27, 101, 429, 18147, 1436, 27, 101, 657, 291, 630, 1114, 13410, 32, 470, 8736, 26, 3972, 27, 291, 630, 1114, 4073, 32, 34318, 26, 7490, 32, 2897, 27, 291, 630, 1114, 4073, 32, 669, 1972, 26, 784, 1114, 13410, 27, 284, 665, 4588, 26, 784, 30, 3124, 711, 291, 630, 1114, 4073, 32, 2811, 26, 2076, 27, 291, 630, 1114, 9321, 346, 284, 665, 3099, 26, 784, 30, 3124, 711, 291, 630, 1114, 4073, 32, 1338, 26, 2076, 27, 291, 630, 1114, 9321, 346, 284, 665, 17161, 26, 784, 30, 3124, 711, 291, 630, 1114, 4073, 32, 8447, 26, 2076, 27, 291, 630, 1114, 9321, 346, 284, 665, 1048, 26, 784, 30, 3124, 711, 291, 630, 1114, 4073, 32, 731, 26, 2076, 27, 291, 630, 1114, 9321, 346, 284, 665, 617, 9321, 26, 784, 711, 291, 630, 1114, 13410, 32, 9321, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 9, 9, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 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, 4, 4, 8, 9, 7, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 8, 9, 7, 8, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 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 ]
[ 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 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, 2, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 5, 1, 2, 1, 2, 5, 5, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 12500, 1188, 3619, 3399, 619, 5743, 203, 1070, 13134, 32, 15183, 1188, 2454, 81, 29051, 203, 605, 280, 2454, 81, 29051, 346, 203, 5905, 280, 706, 32, 605, 203, 3274, 81, 4243, 280, 706, 32, 3274, 81, 4243, 203, 1977, 280, 706, 32, 1977, 203, 1977, 81, 4243, 280, 706, 32, 1977, 81, 4243, 203, 582, 30, 15019, 280, 5743, 32, 24976, 26, 36, 30, 225, 37, 27, 203, 16564, 280, 10440, 34, 30, 225, 35, 471, 308, 34, 30, 225, 36, 471, 308, 34, 30, 225, 37, 471, 308, 35, 30, 225, 36, 471, 308, 35, 30, 225, 37, 471, 308, 36, 30, 225, 37, 2177, 203, 1489, 81, 25165, 280, 428, 291, 2726, 100, 370, 32041, 1425, 291, 2726, 89, 370, 330, 97, 1425, 291, 2726, 84, 370, 330, 106, 1425, 291, 1481, 203, 979, 595, 30, 308, 98, 34, 30, 298, 35, 27, 328, 10703, 26, 16564, 711, 284, 3327, 280, 17478, 32, 6849, 77, 91, 79, 284, 436, 273, 328, 2155, 26, 37, 711, 291, 281, 30, 8539, 280, 1963, 81, 25165, 77, 102, 79, 291, 3327, 32, 17808, 26, 5905, 77, 1977, 610, 273, 30, 298, 34, 614, 5359, 77, 528, 1760, 610, 273, 30, 298, 35, 614, 10029, 47, 8539, 30, 281, 47, 85, 27, 284, 3327, 32, 470, 81, 16862, 26, 3274, 81, 4243, 77, 98, 34, 1130, 284, 3327, 32, 470, 81, 16575, 26, 3274, 81, 4243, 77, 98, 35, 1130, 284, 3327, 32, 470, 81, 39642, 24562, 284, 3327, 32, 470, 81, 8808, 6758, 24562, 203, 582, 32, 24346, 81, 3086, 346, 203, 582, 32, 25317, 463, 7630, 35, 32, 1645, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 3, 4, 0, 3, 3, 3, 2, 2, 3, 4, 4, 4, 0, 3, 2, 2, 3, 4, 0, 3, 3, 3, 2, 2, 3, 4, 4, 4, 0, 4, 3, 4, 2, 2, 4, 5, 4, 5, 4, 4, 5, 4, 0, 3, 2, 2, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 0, 1, 1, 2, 2, 4, 4, 3, 3, 4, 3, 1, 1, 3, 4, 3, 1, 1, 4, 4, 6, 7, 5, 6, 5, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 7, 8, 6, 6, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 10, 9, 9, 8, 8, 9, 8, 7, 8, 8, 8, 9, 9, 8, 8, 9, 8, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 6, 7, 7, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 6, 7, 7, 6, 2, 2, 5, 6, 6, 6, 5, 2, 2, 5, 6, 6, 6, 6, 5, 0, 4, 3, 4, 4, 4, 3, 0, 4, 3, 4, 3, 5, 5, 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 ]
[ 0, 0, 0, 0, 0, 3, 3, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 1, 1, 1, 3, 1, 2, 1, 3, 3, 3, 3, 2, 1, 5, 5, 3, 5, 2, 1, 7, 7, 3, 7, 2, 1, 9, 9, 3, 9, 2, 1, 11, 11, 3, 11, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 0, 10, 10, 1, 1, 1, 1, 2, 2, 3, 2, 10, 10, 1, 1, 1, 10, 10, 0, 0, 0, 2, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 4, 1, 1, 3, 3, 3, 2, 2, 3, 3, 4, 3, 1, 5, 2, 1, 1, 7, 2, 1, 5, 5, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 5, 5, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 5, 5, 0, 2, 2, 2, 1, 5, 5, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4395, 203, 1070, 281, 15130, 1188, 1619, 203, 1070, 281, 15130, 1188, 3756, 203, 1070, 281, 15130, 32, 13261, 1188, 2761, 81, 13261, 203, 1070, 281, 15130, 32, 13261, 1188, 3408, 81, 4018, 203, 1070, 281, 15130, 32, 4882, 32, 2243, 32, 13261, 1188, 296, 4062, 203, 1070, 281, 15130, 32, 4882, 32, 2243, 32, 13261, 1188, 894, 81, 13261, 203, 1070, 281, 15130, 32, 7236, 1188, 8745, 203, 823, 8287, 11434, 7233, 26, 858, 81, 13261, 32, 11434, 7233, 711, 284, 5398, 81, 6933, 280, 2761, 81, 13261, 32, 2348, 11434, 284, 665, 894, 81, 1297, 81, 37052, 1363, 81, 1347, 81, 15934, 26, 784, 711, 291, 38271, 280, 296, 4062, 32, 13190, 2348, 11434, 346, 291, 11152, 81, 1819, 280, 1619, 32, 39034, 463, 496, 370, 330, 2250, 683, 291, 1326, 81, 2285, 280, 5053, 7236, 81, 4642, 950, 5053, 2250, 81, 314, 950, 225, 35, 30, 13588, 330, 891, 950, 225, 34, 835, 715, 330, 7236, 81, 681, 950, 5053, 426, 950, 330, 620, 35, 370, 2476, 330, 7615, 81, 16452, 950, 301, 22001, 291, 1326, 81, 2285, 36, 280, 5053, 7236, 81, 4642, 950, 5053, 2250, 81, 314, 950, 225, 35, 30, 16329, 330, 891, 950, 225, 34, 835, 656, 330, 7236, 81, 681, 950, 5053, 426, 950, 330, 620, 36, 370, 11244, 330, 7615, 81, 16452, 950, 301, 22001, 291, 1326, 81, 2285, 81, 668, 280, 428, 1357, 81, 2285, 30, 1326, 81, 2285, 36, 79, 291, 630, 32, 23895, 26, 3893, 32, 2023, 2303, 3663, 30, 3775, 38271, 32, 8592, 81, 1297, 81, 37052, 1363, 30, 3775, 11152, 81, 1819, 30, 330, 88, 14411, 31, 314, 35, 370, 1326, 81, 2285, 81, 668, 30, 12797, 284, 477, 3613, 32, 2675, 463, 85, 15130, 32, 1199, 32, 2122, 81, 371, 81, 464, 81, 1170, 81, 5473, 683, 284, 665, 894, 81, 8592, 81, 37052, 1363, 26, 784, 30, 10000, 617, 3613, 81, 2122, 81, 371, 81, 464, 81, 1170, 81, 5473, 711, 291, 38271, 280, 296, 4062, 32, 13190, 2348, 11434, 346, 291, 38271, 32, 2035, 81, 4018, 280, 296, 4062, 32, 13190, 3663, 1572, 346, 291, 11152, 81, 1819, 280, 1619, 32, 39034, 463, 496, 370, 330, 2250, 370, 13588, 438, 81, 2300, 47, 1815, 27, 291, 296, 4062, 32, 3613, 81, 2035, 81, 4018, 81, 1199, 81, 13842, 2176, 3613, 81, 2122, 81, 371, 81, 464, 81, 1170, 81, 5473, 27, 291, 24082, 280, 5053, 25241, 44, 37052, 1363, 81, 3592, 950, 4145, 297, 48, 2933, 6040, 291, 1326, 81, 2285, 280, 5053, 7236, 81, 4642, 950, 5053, 2250, 81, 314, 950, 225, 35, 30, 13588, 330, 891, 950, 225, 34, 835, 715, 330, 7236, 81, 681, 950, 5053, 426, 950, 330, 620, 35, 370, 2476, 330, 7615, 81, 16452, 950, 24082, 1540, 291, 1326, 81, 2285, 36, 280, 5053, 7236, 81, 4642, 950, 5053, 2250, 81, 314, 950, 225, 35, 30, 16329, 330, 891, 950, 225, 34, 835, 656, 330, 7236, 81, 681, 950, 5053, 426, 950, 330, 620, 36, 370, 11244, 330, 7615, 81, 16452, 950, 24082, 1540, 291, 1326, 81, 2285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 3, 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, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 8, 10, 10, 4, 4, 7, 7, 6, 6, 10, 10, 10, 10, 8, 12, 12, 12, 12, 10, 11, 9, 9, 9, 12, 12, 10, 11, 9, 7, 7, 10, 10, 10, 10, 8, 12, 12, 10, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 11, 4, 4, 7, 7, 7, 6, 6, 10, 10, 10, 10, 8, 12, 12, 12, 12, 10, 11, 9, 9, 9, 12, 12, 10, 11, 9, 7, 7, 10, 10, 10, 10, 8, 12, 12, 10, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 11, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 7, 7, 7, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 7, 8, 8, 8, 8, 7, 7, 2, 2, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 7, 7, 10, 9, 10, 10, 10, 9, 5, 5, 8, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 9, 5, 5, 8, 8, 7, 7, 9, 10, 9, 11, 11, 9, 11, 11, 9, 9, 11, 11, 10, 11, 9, 5, 5, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 5, 5, 7, 7, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 5, 5, 8, 8, 7, 7, 11, 11, 11, 11, 9, 13, 13, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 10, 8, 8, 11, 11, 11, 11, 9, 13, 13, 11, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 10, 5, 5, 8, 8, 8, 7, 7, 11, 11, 11, 11, 9, 13, 13, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 10, 8, 8, 11, 11, 11, 11, 9, 13, 13, 11, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 10, 5, 5, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 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, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 9, 9, 9, 9, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 4, 4, 0, 0 ]
[ 465, 15246, 203, 1070, 15246, 32, 858, 1188, 15593, 203, 1070, 15246, 32, 1040, 32, 14481, 1188, 15246, 25865, 4058, 203, 72, 10432, 81, 4601, 81, 7789, 280, 15246, 25865, 4058, 346, 203, 519, 2692, 6834, 280, 15246, 32, 15814, 6834, 346, 203, 519, 2692, 6834, 32, 885, 12657, 6834, 26, 38, 27, 203, 519, 2692, 6834, 32, 6738, 1943, 26, 34, 30, 34, 30, 34, 30, 34, 27, 203, 519, 2692, 6834, 32, 6738, 1943, 26, 35, 30, 35, 30, 34, 30, 34, 27, 203, 519, 2692, 6834, 32, 6738, 1943, 26, 36, 11349, 39, 30, 35, 30, 34, 27, 203, 519, 2692, 6834, 32, 6738, 1943, 26, 37, 11349, 39, 11349, 39, 30, 35, 27, 203, 83, 3827, 2692, 280, 15246, 32, 15814, 3827, 2692, 346, 203, 83, 3827, 2692, 32, 936, 1943, 5332, 922, 40472, 26, 34, 30, 34, 27, 203, 83, 3827, 2692, 32, 936, 1943, 5332, 922, 40472, 26, 35, 30, 35, 27, 203, 83, 3827, 2692, 32, 936, 1943, 5332, 922, 40472, 26, 36, 30, 36, 27, 203, 83, 3827, 2692, 32, 936, 1943, 5332, 922, 40472, 26, 37, 30, 37, 27, 203, 83, 3827, 2692, 3552, 280, 15246, 32, 15814, 1061, 25120, 3552, 346, 203, 83, 3827, 2692, 3552, 32, 24860, 26, 35, 30, 35, 27, 203, 83, 3827, 2692, 3552, 32, 6738, 3353, 2905, 26, 83, 3827, 2692, 32, 936, 2905, 620, 1026, 83, 3827, 2692, 32, 936, 1943, 5332, 1157, 203, 83, 3827, 2692, 3552, 32, 885, 6834, 26, 519, 2692, 6834, 27, 203, 1113, 280, 15246, 32, 15814, 1721, 23987, 3827, 2692, 346, 203, 1113, 32, 885, 44640, 26, 83, 3827, 2692, 3552, 27, 203, 26845, 265, 280, 15246, 32, 15814, 47672, 2348, 346, 203, 26845, 265, 32, 48746, 2798, 26, 1113, 32, 47080, 3437, 1157, 203, 13474, 280, 15246, 32, 15814, 13019, 5631, 346, 203, 13474, 32, 48746, 2798, 26, 26845, 265, 32, 47080, 3437, 1157, 203, 3260, 280, 15246, 32, 15814, 10455, 346, 203, 3260, 32, 885, 5631, 26, 13474, 27, 203, 3260, 32, 36961, 922, 41833, 26, 34, 32, 41, 38, 34, 34, 30, 34, 32, 43, 43, 34, 34, 30, 34, 32, 41, 43, 34, 34, 27, 203, 1575, 35, 280, 15246, 32, 15814, 6462, 346, 203, 1575, 8473, 280, 15246, 32, 15814, 3121, 1669, 346, 203, 1575, 8473, 32, 1103, 6462, 26, 1575, 35, 27, 203, 548, 96, 280, 15246, 32, 15814, 3121, 1669, 40385, 346, 203, 548, 96, 32, 885, 3121, 1669, 26, 1575, 8473, 27, 203, 1575, 35, 32, 1103, 10455, 26, 3260, 27, 203, 1575, 35, 32, 885, 5770, 26, 34, 32, 35, 30, 34, 32, 36, 30, 34, 32, 38, 27, 203, 1575, 8473, 32, 44523, 26, 37, 34, 34, 30, 37, 34, 34, 27, 203, 7199, 35, 280, 21718, 35, 32, 936, 4077, 7129, 346, 203, 7199, 35, 32, 885, 14800, 11747, 3198, 26, 34, 32, 35, 42, 37, 35, 43, 40, 30, 43, 32, 35, 39, 43, 41, 43, 27, 203, 7199, 35, 32, 885, 56, 18166, 1943, 26, 34, 32, 39, 41, 43, 38, 41, 35, 30, 34, 32, 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, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 5, 4, 0, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 0, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 0, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 0, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 0, 4, 4, 4, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 6, 6, 6, 5, 6, 6, 6, 5, 4, 3, 4, 3, 4, 3, 0, 6, 6, 6, 5, 6, 6, 6, 5, 4, 3, 4, 3, 4, 3, 0, 6, 6, 6, 5, 6, 6, 6, 5, 4, 3, 4, 3, 4, 3, 0, 6, 6, 6, 5, 6, 6, 6, 5, 4, 3, 4, 3, 4, 3, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 4, 0, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 3, 0, 4, 4, 4, 4, 3, 4, 4, 4, 3, 6, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 5, 0, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 0, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 0, 4, 3, 4, 4, 3, 4, 4, 4, 4, 3, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 4, 4, 3, 4, 4, 3, 6, 5, 6, 6, 5, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 4, 3, 4, 4, 3, 6, 6, 5, 6, 6, 5, 0, 3, 2, 2, 4, 5, 5, 4, 0, 4, 3, 4, 4, 3, 4, 3, 0, 6, 5, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 0, 3, 3, 2, 2, 4, 5, 5, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 4, 4, 3, 4, 4, 3, 4, 4, 3, 0, 3, 3, 2, 2, 4, 5, 5, 5, 5, 4, 0, 4, 4, 3, 4, 4, 4, 3, 4, 4, 3, 0, 4, 4, 3, 4, 4, 3, 4, 3, 0, 4, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 3, 3, 2, 2, 5, 4, 5, 5, 5, 4, 0, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 0, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 5, 5, 5, 5, 5, 5, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 5, 5, 5, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3 ]
[ 465, 6436, 619, 2065, 203, 1070, 6436, 32, 4266, 1188, 1201, 81, 955, 81, 2228, 619, 30137, 203, 1070, 6436, 32, 4266, 1188, 1201, 81, 35502, 619, 1430, 203, 1070, 4377, 14268, 1188, 308, 7924, 81, 10402, 30, 2855, 947, 2295, 1618, 30, 2855, 9475, 81, 3527, 30, 2855, 506, 13796, 7894, 14329, 30, 2855, 829, 203, 1070, 2417, 716, 32, 3613, 1188, 5549, 31251, 81, 36760, 203, 589, 894, 81, 7924, 81, 10402, 2262, 284, 310, 81, 7088, 30, 310, 81, 8147, 280, 225, 35, 34, 34, 30, 225, 35, 34, 284, 706, 280, 5549, 31251, 81, 36760, 26, 96, 81, 7088, 30, 310, 81, 8147, 27, 284, 10084, 280, 7596, 81, 10402, 26, 605, 30, 1230, 81, 9410, 47, 35, 7447, 284, 1201, 10084, 32, 3229, 610, 308, 36, 21713, 284, 1201, 10084, 77, 34, 79, 848, 225, 34, 284, 1201, 10084, 77, 34, 79, 610, 10084, 77, 35, 79, 284, 10084, 280, 7596, 81, 10402, 26, 605, 30, 1230, 81, 9410, 6020, 35, 4317, 225, 36, 32, 1130, 284, 1201, 10084, 32, 3229, 610, 308, 36, 21713, 284, 1201, 10084, 77, 35, 79, 610, 225, 36, 319, 10084, 77, 34, 79, 284, 10084, 280, 7596, 81, 10402, 26, 605, 30, 3982, 81, 10402, 47, 2700, 30, 1230, 81, 9410, 47, 36, 7447, 284, 1201, 10084, 32, 3229, 610, 308, 36, 30, 310, 81, 8147, 27, 284, 10084, 280, 7596, 81, 10402, 26, 605, 30, 6619, 3982, 81, 10402, 47, 2700, 30, 6619, 1230, 81, 9410, 4310, 35, 4317, 225, 36, 32, 490, 284, 1201, 10084, 32, 3229, 610, 308, 36, 30, 310, 81, 8147, 27, 284, 1430, 26, 10402, 77, 35, 614, 225, 36, 319, 10084, 77, 34, 1130, 203, 589, 894, 81, 24786, 1618, 2262, 284, 310, 81, 7088, 30, 310, 81, 8147, 280, 225, 35, 34, 34, 30, 225, 35, 36, 284, 12101, 30, 18105, 280, 638, 35, 30, 638, 36, 284, 706, 280, 5549, 31251, 81, 36760, 26, 96, 81, 7088, 30, 310, 81, 8147, 27, 284, 41011, 1618, 280, 947, 2295, 1618, 26, 2816, 1057, 18502, 370, 4985, 45888, 47, 2008, 27, 284, 30137, 26, 24786, 1618, 26, 605, 471, 706, 848, 12101, 27, 284, 41011, 1618, 280, 947, 2295, 1618, 26, 2816, 1057, 15272, 370, 4985, 45888, 12516, 12063, 950, 18105, 1748, 284, 30137, 26, 24786, 1618, 26, 605, 471, 706, 333, 429, 12063, 27, 284, 41011, 1618, 280, 947, 2295, 1618, 26, 2816, 1057, 16361, 370, 4985, 45888, 12516, 12063, 950, 18105, 30, 10631, 330, 2008, 950, 12101, 30, 10631, 1790, 284, 30137, 26, 24786, 1618, 26, 605, 30, 330, 12063, 1425, 2065, 32, 3596, 26, 605, 27, 848, 18105, 27, 284, 30137, 26, 24786, 1618, 26, 605, 30, 10084, 1057, 2008, 1425, 2065, 32, 3596, 26, 605, 27, 848, 12101, 27, 284, 273, 280, 41011, 1618, 26, 605, 30, 2726, 12063, 370, 330, 2008, 2847, 284, 30137, 26, 102, 710, 12063, 2188, 2065, 32, 3596, 26, 605, 27, 848, 18105, 27, 284, 30137, 26, 102, 710, 2008, 2188, 2065, 32, 3596, 26, 605, 27, 848, 12101, 27, 284, 361, 268, 280, 2065 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 1, 1, 4, 4, 4, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 4, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 6, 6, 5, 5, 6, 6, 4, 4, 6, 6, 6, 5, 5, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 8, 8, 7, 8, 8, 2, 2, 3, 5, 6, 4, 4, 6, 5, 2, 2, 3, 5, 6, 5, 4, 4, 5, 2, 2, 3, 5, 6, 5, 4, 4, 5, 6, 5, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 8, 8, 7, 9, 9, 8, 9, 9, 8, 2, 2, 3, 5, 6, 4, 4, 6, 5, 2, 2, 3, 5, 6, 5, 4, 4, 6, 5, 5, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 8, 8, 7, 8, 6, 6, 8, 8, 7, 8, 8, 2, 2, 3, 5, 6, 4, 4, 6, 5, 5, 6, 6, 5, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 6, 8, 8, 7, 8, 6, 6, 6, 8, 8, 7, 9, 9, 8, 9, 9, 8, 2, 2, 3, 5, 6, 4, 4, 6, 5, 5, 6, 6, 5, 2, 2, 5, 7, 6, 7, 6, 5, 7, 6, 6, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 1, 1, 6, 6, 5, 5, 6, 6, 4, 4, 6, 6, 6, 5, 5, 6, 6, 2, 2, 5, 5, 4, 4, 6, 5, 5, 6, 2, 2, 4, 4, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 5, 4, 4, 6, 6, 6, 8, 7, 9, 9, 6, 6, 7, 8, 6, 2, 2, 5, 7, 7, 7, 8, 7, 5, 6, 6, 5, 2, 2, 5, 4, 4, 6, 6, 6, 8, 7, 9, 9, 6, 6, 7, 11, 11, 9, 8, 2, 2, 5, 7, 7, 7, 8, 7, 5, 6, 6, 8, 5, 2, 2, 5, 4, 4, 6, 6, 6, 8, 7, 9, 9, 6, 6, 7, 11, 11, 9, 8, 8, 8, 11, 11, 9, 8, 8, 8, 2, 2, 5, 7, 7, 7, 8, 7, 7, 9, 9, 5, 8, 9, 8, 9, 8, 6, 6, 5, 2, 2, 5, 7, 7, 7, 8, 7, 7, 8, 10, 10, 5, 8, 9, 8, 9, 8, 6, 6, 5, 2, 2, 4, 4, 6, 6, 7, 6, 6, 9, 9, 7, 9, 9, 2, 2, 5, 7, 6, 8, 8, 5, 8, 9, 8, 9, 8, 6, 6, 5, 2, 2, 5, 7, 6, 8, 8, 5, 8, 9, 8, 9, 8, 6, 6, 5, 2, 2, 5, 4, 4 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 3, 3, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 4, 4, 3, 0, 2, 1, 1, 1, 2, 4, 4, 4, 0, 2, 0, 1, 1, 2, 4, 4, 5, 0, 2, 0, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 1, 1, 2, 3, 3, 2, 4, 4, 7, 0, 2, 1, 1, 1, 2, 4, 4, 8, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 2, 4, 4, 10, 0, 2, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 1, 1, 2, 3, 3, 2, 4, 4, 12, 0, 2, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 1, 0, 1, 2, 1, 1, 0, 3, 3, 2, 2, 2, 0, 6, 6, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 3, 1, 2, 1, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 3, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 3, 3, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 3, 1, 2, 1, 0, 2, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 1, 2, 4, 4, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 3, 3, 1, 4, 4, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0 ]
[ 9592, 4997, 1058, 8737, 102, 30, 13355, 23596, 26585, 6833, 26915, 203, 10581, 308, 53, 27, 225, 36, 34, 34, 43, 31, 36, 34, 35, 41, 30, 971, 10461, 971, 500, 1309, 570, 2096, 38688, 559, 418, 3002, 333, 15523, 24385, 3002, 50, 7253, 32, 508, 48, 203, 2272, 3460, 438, 3741, 2932, 44, 844, 883, 14086, 561, 461, 33, 271, 5351, 203, 283, 1531, 322, 5955, 432, 322, 6987, 6146, 5056, 1177, 619, 9581, 810, 203, 1382, 7823, 3859, 7113, 30, 3154, 1503, 225, 37, 432, 322, 1177, 30, 556, 203, 26, 269, 1370, 2470, 27, 1346, 6125, 1503, 32, 203, 2272, 3460, 438, 2728, 328, 322, 9845, 688, 561, 1098, 526, 6364, 30, 203, 698, 4197, 2964, 9339, 45, 2876, 4444, 322, 4500, 14327, 432, 203, 22286, 7752, 556, 8108, 4786, 399, 7848, 7755, 32, 225, 2802, 322, 203, 21327, 6146, 5056, 1177, 436, 1829, 4245, 32, 203, 4282, 1395, 1159, 6584, 312, 1933, 432, 322, 6987, 6146, 5056, 1177, 203, 40198, 623, 458, 3460, 32, 225, 1670, 646, 30, 2318, 333, 525, 555, 1499, 32, 10628, 32, 1088, 33, 4188, 28733, 9592, 203, 433, 261, 588, 203, 1070, 35094, 1188, 7360, 203, 465, 2322, 203, 1070, 48885, 39, 1188, 10701, 2852, 30, 22066, 203, 1070, 5316, 32, 12035, 1188, 2556, 359, 4223, 81, 468, 81, 311, 17573, 203, 1070, 5034, 1188, 1359, 203, 552, 565, 1761, 280, 3037, 19264, 31, 35, 43, 42, 36, 392, 225, 37, 35, 37, 32, 43, 39, 30, 225, 37, 37, 40, 32, 35, 43, 30, 225, 37, 36, 40, 32, 34, 35, 30, 225, 37, 35, 36, 32, 34, 37, 30, 225, 37, 42, 37, 32, 35, 42, 30, 225, 36, 43, 41, 32, 40, 37, 30, 3083, 38, 36, 35, 32, 35, 30, 225, 36, 37, 39, 32, 38, 36, 30, 225, 37, 37, 42, 32, 36, 30, 225, 36, 40, 37, 32, 43, 36, 30, 225, 36, 43, 34, 32, 35, 37, 30, 225, 37, 34, 37, 32, 36, 40, 79, 203, 21, 15379, 565, 11045, 280, 1605, 203, 1793, 2156, 26, 1163, 32, 2957, 81, 1515, 5667, 9375, 1284, 32, 2901, 392, 313, 100, 657, 619, 27484, 44, 284, 4842, 565, 11045, 32, 1689, 26, 1004, 10039, 32, 25637, 346, 20129, 35, 1130, 284, 2218, 2933, 44, 291, 706, 280, 27484, 32, 25637, 922, 38848, 5528, 96, 657, 291, 415, 706, 44, 324, 4842, 565, 11045, 32, 1689, 26, 1808, 26, 605, 490, 324, 415, 2069, 26, 552, 565, 11045, 27, 610, 225, 35, 37, 44, 400, 1626, 203, 823, 27178, 81, 9375, 1284, 26, 47935, 32, 67, 3728, 711, 284, 3330, 261, 665, 1156, 1664, 3207, 784, 30, 2935, 47, 2521, 711, 291, 2599, 26, 10816, 81, 9375, 1284, 30, 630, 14585, 1664, 3207, 2544, 27, 291, 630, 32, 18476, 3173, 26, 324, 22066, 32, 67, 2727, 32, 7393, 440, 978, 1058, 8737, 102, 392, 313, 9375, 6422, 2131, 291, 630, 32, 2988, 280, 2933, 291, 6371, 280, 22066, 32, 67, 48587, 26, 784, 27, 291, 630, 32, 15738, 280, 22066, 32, 67, 11245, 346, 291, 6371, 32, 21857 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 1, 3, 3, 3, 3, 3, 2, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 0, 1, 1, 1, 1, 1, 1, 1, 6, 6, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 6, 8, 8, 4, 6, 6, 1, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 8, 7, 8, 6, 2, 3, 4, 4, 3, 7, 6, 11, 11, 11, 10, 9, 10, 11, 10, 4, 5, 6, 6, 5, 10, 10, 10, 10, 10, 10, 11, 11, 12, 11, 6, 7, 10, 10, 11, 11, 11, 11, 8, 8, 8, 9, 9, 7, 9, 9, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 4, 1, 3, 4, 4, 4, 5, 5, 6, 6, 6, 4, 3, 9, 9, 10, 10, 10, 10, 10, 10, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 7, 11, 11, 10, 11, 11, 10, 9, 11, 11, 11, 11, 11, 9, 11, 11, 9, 4, 8, 8, 8, 6, 7, 4, 7, 6, 9, 9, 8, 9, 9, 9, 9, 4, 8, 8, 8, 6, 9, 9, 8, 9, 8, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 2, 0, 2, 0, 0, 3, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 5, 0, 0, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 2, 2, 7, 7, 7, 7, 7, 7, 2, 2, 9, 9, 9, 9, 9, 9, 2, 2, 11, 11, 11, 11, 11, 11, 2, 2, 13, 13, 13, 13, 13, 13, 2, 2, 15, 15, 15, 15, 15, 2, 2, 17, 17, 17, 17, 17, 17, 2, 2, 19, 19, 19, 19, 19, 2, 2, 21, 21, 21, 21, 21, 21, 2, 2, 23, 23, 23, 23, 23, 23, 2, 2, 25, 25, 25, 25, 25, 25, 2, 0, 8, 8, 8, 8, 8, 8, 9, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 9, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 3, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 3, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 10, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 10, 0, 10, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 4, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 0, 0, 2, 0, 2, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 4, 0, 0, 2, 0, 0, 0, 0, 2, 1, 4, 0, 0 ]
[ 505, 1427, 505, 280, 1524, 1045, 4736, 432, 322, 2145, 31, 2671, 432, 4808, 36272, 8258, 203, 8161, 30, 1510, 438, 10303, 328, 21627, 225, 36, 40, 35, 41, 32, 203, 5297, 6886, 30, 1471, 322, 6895, 31, 266, 622, 81, 4945, 35, 81, 2665, 81, 7355, 667, 1510, 5251, 312, 5436, 203, 1028, 37434, 32444, 619, 322, 10677, 2968, 44, 203, 496, 4617, 2665, 280, 5053, 25837, 25, 499, 330, 38, 106, 39, 427, 105, 342, 587, 6040, 203, 371, 81, 4945, 35, 280, 43744, 978, 32, 1356, 32, 2393, 81, 13995, 32, 371, 81, 4945, 35, 81, 2665, 81, 7355, 26, 496, 4617, 2665, 27, 203, 13995, 81, 2393, 280, 5053, 4280, 32, 2393, 81, 13995, 32, 267, 950, 2933, 30, 3083, 330, 4280, 32, 2393, 81, 13995, 32, 21355, 950, 330, 105, 17683, 6803, 370, 3083, 330, 4280, 32, 2393, 81, 13995, 32, 371, 81, 4945, 35, 950, 622, 81, 4945, 35, 30, 3083, 330, 4280, 32, 2393, 81, 13995, 32, 678, 950, 330, 83, 39, 40, 39, 85, 36, 41, 35, 38, 40, 41, 43, 35, 35050, 370, 203, 111, 203, 725, 81, 1163, 280, 301, 13637, 499, 19272, 81, 2393, 320, 203, 2993, 203, 505, 2116, 505, 280, 330, 104, 427, 25322, 25, 203, 505, 770, 505, 280, 330, 41701, 225, 36, 34, 34, 43, 25, 203, 1270, 44, 284, 645, 42406, 1188, 8735, 39, 203, 7343, 29986, 44, 284, 645, 8735, 39, 1188, 537, 619, 8735, 39, 203, 954, 39, 81, 6949, 280, 9254, 309, 44, 8735, 39, 26, 101, 547, 6949, 13995, 346, 203, 465, 1133, 203, 465, 1695, 40, 38, 203, 1070, 22045, 36, 1188, 3185, 81, 525, 81, 668, 30, 3185, 81, 479, 31451, 81, 668, 203, 465, 43744, 978, 203, 99, 520, 81, 2393, 280, 330, 2393, 25, 203, 99, 520, 81, 2393, 81, 410, 280, 330, 2393, 31, 410, 25, 203, 1327, 81, 99, 4156, 280, 308, 99, 520, 81, 2393, 30, 2678, 520, 81, 2393, 81, 410, 27, 203, 1327, 81, 15096, 280, 2726, 5108, 39, 370, 330, 5108, 39, 31, 6690, 683, 203, 589, 20948, 26, 2076, 711, 284, 43744, 978, 32, 751, 26, 2076, 30, 1619, 1057, 31081, 32, 9036, 81, 18953, 4128, 683, 203, 589, 622, 81, 4945, 35, 81, 2665, 81, 7355, 26, 496, 81, 2895, 81, 2665, 711, 284, 665, 622, 81, 4945, 35, 26, 21355, 30, 952, 711, 291, 3882, 280, 1256, 81, 2895, 81, 2665, 32, 371, 26, 699, 27, 291, 415, 3882, 44, 324, 442, 8735, 39, 81, 6949, 15339, 101, 6069, 101, 6069, 101, 25, 904, 308, 699, 30, 24482, 30, 3882, 490, 291, 442, 1665, 284, 442, 622, 81, 4945, 35, 203, 589, 622, 81, 4945, 35, 81, 2665, 26, 496, 81, 4945, 35, 81, 2665, 711, 284, 665, 622, 81, 4945, 35, 26, 21355, 30, 952, 711, 291, 442, 1256, 81, 4945, 35, 81, 2665, 32, 371, 26, 496, 27, 284, 442, 622, 81, 4945, 35, 203, 589, 622, 81, 4945, 35, 81, 761, 81, 384, 13995, 26, 3607, 711, 284, 665, 622, 81, 4945, 35, 26, 21355, 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 ]
[ 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 3, 3, 3, 5, 1, 2, 2, 2, 2, 2, 4, 6, 4, 4, 5, 5, 6, 0, 3, 3, 3, 3, 2, 2, 3, 3, 3, 7, 7, 8, 7, 6, 6, 5, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 6, 5, 6, 5, 6, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 9, 9, 9, 8, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 7, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 11, 11, 11, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 8, 8, 8, 8, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4 ]
[ 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 13, 13, 2, 1, 2, 13, 13, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 0, 14, 14, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 14, 14, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 2, 4, 4, 1, 1, 1, 1, 0, 15, 15, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 15, 15, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 16, 16, 0, 1, 1, 1, 2, 1, 2 ]
[ 465, 6436, 619, 2065, 203, 465, 322, 7221, 203, 465, 322, 7221, 32, 6800, 619, 394, 203, 465, 4345, 7221, 203, 465, 4345, 7221, 32, 5459, 619, 42244, 203, 465, 4345, 7221, 32, 1382, 7221, 81, 9081, 32, 476, 16343, 81, 1322, 619, 6233, 203, 50, 3242, 7221, 32, 3317, 81, 1251, 440, 311, 1363, 81, 476, 16343, 81, 1322, 81, 34471, 657, 203, 823, 632, 1140, 822, 23771, 16343, 2380, 70, 11849, 1212, 26, 3242, 7221, 32, 1212, 3482, 711, 284, 15223, 5609, 81, 4243, 280, 2884, 27959, 81, 3576, 392, 27, 284, 1509, 81, 3494, 280, 2884, 1536, 392, 313, 27959, 657, 284, 665, 3219, 81, 3222, 81, 3585, 81, 10950, 26, 784, 30, 3984, 711, 291, 3984, 32, 11814, 81, 2024, 81, 1070, 26, 324, 3984, 32, 1809, 81, 7782, 5609, 14141, 27959, 81, 3576, 28431, 324, 372, 81, 678, 347, 27959, 657, 284, 665, 7596, 81, 2024, 26, 784, 30, 3984, 30, 328, 81, 11773, 30, 29217, 81, 11773, 711, 291, 3984, 32, 1297, 81, 11773, 26, 324, 313, 1536, 392, 324, 2677, 47, 335, 32, 311, 1363, 81, 476, 16343, 81, 1322, 81, 34471, 26, 266, 81, 11773, 32, 4502, 30, 23815, 29217, 81, 11773, 32, 4502, 471, 324, 6024, 4310, 2521, 30, 1665, 27, 474, 328, 81, 11773, 32, 3229, 77, 35, 23751, 324, 5911, 7814, 2024, 3918, 291, 829, 203, 50, 3242, 7221, 32, 3317, 81, 1251, 440, 476, 16343, 81, 1322, 81, 6009, 657, 203, 823, 41370, 16343, 2380, 17081, 1212, 26, 3242, 7221, 32, 1212, 3482, 711, 284, 15223, 5609, 81, 4243, 280, 2884, 27959, 81, 3576, 392, 27, 284, 1509, 81, 3494, 280, 2884, 1536, 392, 313, 27959, 657, 284, 665, 3219, 81, 3222, 81, 3585, 81, 10950, 26, 784, 30, 3984, 711, 291, 3984, 32, 11814, 81, 2024, 81, 1070, 26, 324, 3984, 32, 1809, 81, 7782, 5609, 14141, 27959, 81, 3576, 28431, 324, 372, 81, 678, 347, 27959, 657, 284, 665, 7596, 81, 2024, 26, 784, 30, 3984, 30, 328, 81, 11773, 30, 29217, 81, 11773, 711, 291, 29217, 280, 29217, 81, 11773, 32, 4502, 32, 3534, 17906, 2009, 34, 79, 474, 3037, 106, 1446, 319, 308, 266, 81, 11773, 32, 29704, 429, 225, 36, 490, 291, 3984, 32, 1297, 81, 11773, 26, 324, 313, 1536, 392, 324, 2677, 47, 266, 81, 11773, 32, 4502, 32, 1036, 26, 5082, 47, 35, 27, 517, 29217, 30, 324, 6024, 47, 266, 81, 11773, 32, 3229, 77, 34, 44, 35, 79, 474, 328, 81, 11773, 32, 3229, 77, 36, 23751, 324, 5911, 7814, 2024, 3918, 291, 829, 203, 50, 3242, 7221, 32, 3317, 81, 1251, 14715, 476, 16343, 81, 1322, 81, 26170, 81, 28560, 657, 203, 823, 617, 23771, 16343, 2380, 41457, 14986, 1449, 1212, 26, 3242, 7221, 32, 1212, 3482, 711, 284, 15223, 5609, 81, 4243, 280, 2884, 27959, 81, 3576, 392, 27, 284, 1509, 81, 3494, 280, 2884, 1536, 392, 313, 27959, 657, 284, 665, 3219, 81, 3222, 81, 3585, 81, 10950, 26, 784, 30, 3984, 711, 291, 3984, 32, 11814, 81, 2024, 81, 1070, 26, 324, 3984, 32, 1809, 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, 2, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 2, 0, 2, 5, 5, 4, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 5, 5, 3, 2, 2, 6, 6, 6, 5, 5, 8, 8, 8, 8, 6, 3, 3, 6, 6, 5, 5, 8, 8, 6, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 9, 9, 8, 8, 8, 10, 11, 11, 11, 11, 10, 13, 13, 13, 13, 8, 8, 10, 10, 9, 11, 11, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 4, 4, 8, 9, 9, 9, 8, 8, 8, 10, 10, 8, 8, 9, 12, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 13, 13, 13, 12, 13, 11, 11, 11, 13, 13, 12, 13, 11, 8, 8, 9, 12, 11, 11, 11, 10, 10, 13, 13, 12, 13, 11, 13, 12, 8, 8, 9, 12, 12, 8, 8, 0, 2, 5, 5, 4, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 5, 5, 4, 5, 5, 3, 2, 2, 6, 6, 6, 5, 5, 8, 8, 8, 8, 6, 3, 3, 6, 6, 5, 5, 8, 8, 6, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 9, 9, 8, 8, 8, 10, 11, 11, 11, 11, 10, 13, 13, 13, 13, 8, 8, 10, 10, 9, 11, 11, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 4, 4, 7, 7, 11, 11, 10, 11, 9, 10, 10, 9, 12, 11, 10, 10, 14, 14, 11, 11, 15, 15, 15, 14, 15, 13, 13, 14, 12, 5, 5, 8, 9, 9, 9, 8, 8, 8, 10, 10, 8, 8, 9, 14, 14, 14, 13, 14, 12, 13, 12, 14, 13, 14, 12, 10, 10, 8, 8, 8, 9, 13, 13, 13, 12, 13, 11, 13, 12, 13, 11, 10, 10, 13, 13, 12, 13, 11, 13, 12, 8, 8, 9, 12, 12, 8, 8, 0, 2, 5, 5, 4, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 4, 5, 5, 3, 2, 2, 6, 6, 6, 5, 5, 8, 8, 8, 8, 6, 3, 3, 6, 6, 5, 5, 8, 8, 6, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 9, 9, 8, 8, 8, 10, 11, 11 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 3, 3, 0, 0, 4, 4, 0, 0, 2, 1, 1, 0, 5, 5, 0, 0, 2, 2, 2, 2, 0, 4, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 3, 2, 1, 1, 1, 5, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 7, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 5, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 7, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2 ]
[ 465, 5237, 203, 465, 15798, 203, 1070, 7138, 1188, 7138, 203, 465, 4395, 203, 1070, 5034, 3209, 32, 2282, 32, 3955, 1188, 9045, 1104, 23583, 10448, 72, 38, 203, 1070, 5034, 3209, 32, 2282, 32, 3955, 1188, 33514, 10645, 2798, 203, 1070, 5034, 3209, 32, 2282, 32, 3955, 1188, 21044, 81, 39430, 203, 1070, 5034, 3209, 32, 858, 1188, 17442, 3209, 7233, 203, 823, 13486, 36, 3660, 6636, 26, 1473, 711, 284, 6699, 81, 426, 280, 330, 1772, 81, 3419, 25, 203, 823, 9045, 1104, 23583, 10448, 72, 38, 7233, 26, 6508, 3209, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 33514, 10645, 2798, 32, 5350, 280, 13486, 36, 3660, 6636, 346, 291, 33514, 10645, 2798, 32, 2122, 81, 426, 280, 330, 1772, 81, 2122, 25, 291, 33514, 10645, 2798, 32, 1648, 280, 330, 36, 34, 35, 37, 31, 35, 34, 31, 35, 39, 25, 291, 630, 32, 3841, 280, 33514, 10645, 2798, 463, 1772, 81, 678, 370, 330, 1772, 81, 7241, 683, 291, 630, 32, 33945, 280, 9045, 1104, 23583, 10448, 72, 38, 26, 3560, 81, 678, 1057, 1772, 81, 678, 370, 15607, 2857, 81, 7241, 1057, 1772, 81, 7241, 370, 15607, 1503, 1057, 36, 34, 35, 37, 31, 35, 34, 31, 35, 39, 370, 15607, 3387, 47, 784, 32, 3841, 27, 291, 33514, 10645, 2798, 32, 1141, 280, 3056, 1772, 81, 1141, 7404, 291, 33514, 10645, 2798, 32, 5350, 280, 13486, 36, 3660, 6636, 346, 291, 630, 32, 2174, 280, 7138, 26, 36, 34, 35, 39, 30, 225, 37, 30, 225, 38, 30, 12021, 47, 35, 41, 30, 16044, 47, 37, 38, 30, 3100, 47, 39, 36, 27, 284, 665, 894, 81, 104, 38, 81, 9569, 26, 784, 711, 291, 2803, 280, 301, 324, 330, 1711, 950, 330, 8591, 8354, 370, 324, 330, 2062, 950, 330, 36, 34, 35, 37, 31, 35, 34, 31, 35, 39, 25, 291, 320, 291, 4826, 280, 301, 324, 330, 3663, 950, 330, 735, 36, 32, 11085, 31, 12581, 31, 35, 32, 13808, 32, 508, 370, 324, 330, 7071, 31, 7960, 950, 330, 13621, 30, 589, 1089, 370, 324, 330, 74, 31, 2210, 76, 31, 1547, 950, 330, 36, 34, 35, 39, 34, 37, 34, 38, 70, 35, 41, 37, 38, 39, 36, 76, 370, 324, 330, 1240, 31, 6143, 950, 330, 1356, 3209, 33, 34, 32, 35, 41, 32, 34, 308, 20086, 13486, 36, 308, 11085, 31, 15785, 31, 35, 490, 330, 291, 320, 291, 8793, 280, 630, 32, 2174, 291, 6915, 280, 630, 32, 33945, 1114, 371, 81, 15194, 81, 104, 38, 81, 2111, 26, 2132, 47, 2132, 30, 22622, 4826, 47, 5078, 30, 22622, 8793, 47, 2632, 30, 22622, 1411, 1057, 2788, 370, 22622, 1519, 20183, 1772, 81, 1141, 25844, 291, 630, 32, 5299, 26, 4994, 30, 330, 10645, 38, 31, 40622, 31, 9451, 36, 39, 40, 330, 4985, 330, 13767, 47, 1772, 81, 678, 33, 36, 34, 35, 39, 34, 37, 34, 38, 33, 1772, 81, 3419, 33, 1772, 81, 2122, 33, 3955, 38, 81, 1357, 30, 330, 4985, 330, 15722, 6267, 47, 7494, 31, 8644, 45, 2035, 45, 496 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 8, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 8, 8, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 8, 8, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 8, 8, 10, 10, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 10, 11, 8, 4, 4, 8, 8, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 8, 8, 7, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 8, 9, 10, 10, 8, 8, 9, 10, 10, 8, 8, 9, 10, 10, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 6, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 6, 6, 7, 8, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 9, 11, 11, 8, 8, 9, 11, 11, 11, 11, 4, 4, 7, 8, 7, 8, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 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, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 1, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 9, 9, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 2, 2, 1, 1, 9, 2, 2, 1, 1, 11, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 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, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 1, 7, 1, 2, 1, 1, 9, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 1695, 40, 38, 203, 465, 45977, 203, 465, 7138, 203, 465, 1673, 2304, 32, 1040, 203, 1070, 4096, 1188, 1474, 81, 1070, 81, 761, 203, 465, 42406, 203, 465, 1360, 203, 465, 2361, 203, 465, 5741, 203, 465, 2322, 203, 465, 45301, 983, 203, 465, 316, 203, 465, 22977, 203, 465, 5237, 203, 465, 29590, 203, 465, 8529, 761, 203, 1070, 638, 1188, 1156, 1648, 7642, 9306, 1356, 984, 203, 1070, 638, 8524, 1188, 5237, 1163, 30, 23040, 974, 30, 5980, 5460, 30, 1344, 81, 681, 30, 2761, 203, 1070, 638, 4603, 1188, 42163, 16218, 203, 1070, 638, 4519, 1188, 13528, 30, 14462, 22469, 81, 18829, 203, 1070, 638, 1040, 1188, 308, 974, 7145, 30, 4483, 81, 983, 30, 15599, 3300, 30, 15599, 3976, 30, 10421, 30, 4511, 10814, 81, 2433, 30, 622, 81, 2613, 81, 1439, 30, 1491, 81, 3783, 30, 1779, 1515, 27, 203, 1070, 638, 1648, 1188, 13574, 1191, 2062, 30, 18094, 2062, 924, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 2613, 280, 1665, 262, 203, 325, 19326, 26, 3731, 30, 330, 35172, 81, 1648, 81, 1338, 7831, 284, 6786, 81, 9857, 280, 330, 593, 25, 203, 12106, 5237, 32, 5134, 32, 15990, 463, 1859, 7831, 284, 6786, 81, 9857, 280, 330, 32762, 25, 203, 12106, 5237, 32, 5134, 610, 330, 4538, 950, 284, 6786, 81, 9857, 280, 330, 639, 25, 203, 1824, 44, 284, 6786, 81, 9857, 280, 330, 2219, 25, 203, 1971, 81, 28056, 280, 5237, 1163, 32, 371, 81, 1163, 81, 869, 463, 978, 81, 1648, 81, 15604, 366, 683, 203, 325, 646, 13670, 81, 28056, 44, 27218, 13670, 81, 28056, 280, 6611, 101, 23, 101, 25, 904, 5237, 32, 1648, 81, 1338, 2867, 36, 79, 203, 5177, 1971, 280, 330, 978, 25, 474, 13670, 81, 28056, 203, 6898, 1971, 280, 6786, 81, 9857, 474, 13670, 81, 28056, 203, 9292, 280, 1673, 2304, 32, 1040, 32, 371, 81, 5134, 922, 3227, 12605, 370, 7610, 1814, 3227, 39054, 7610, 683, 203, 18438, 280, 5237, 1163, 32, 371, 81, 1163, 81, 869, 463, 3629, 18438, 683, 203, 325, 30793, 461, 30793, 32, 15990, 463, 85, 2958, 31, 7831, 284, 30793, 280, 30793, 32, 3227, 463, 85, 2958, 41085, 330, 2219, 683, 203, 1824, 44, 284, 665, 617, 11211, 81, 14569, 2262, 291, 8710, 280, 2107, 2219, 370, 13670, 81, 28056, 79, 291, 415, 5237, 1163, 32, 371, 81, 1163, 81, 869, 463, 4997, 81, 2897, 7831, 324, 8710, 32, 1689, 463, 86, 683, 291, 415, 5237, 1163, 32, 371, 81, 1163, 81, 869, 463, 12003, 81, 5177, 63, 15787, 7831, 324, 8710, 32, 1689, 463, 95, 683, 291, 415, 5237, 1163, 32, 371, 81, 1163, 81, 869, 463, 4997, 81, 29978, 81, 3364, 683, 610, 225, 38, 44, 324, 8710, 32, 1689, 463, 103, 683, 291, 442, 35617, 2524, 26, 10031, 27, 284, 30793, 280, 617, 11211, 81, 14569, 346, 284, 3555, 617, 11211, 81, 14569, 203, 18829, 81, 613, 280, 316, 32, 6993, 26, 100, 9592, 203, 12390, 66, 46, 14276, 8828, 80, 31 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 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, 1, 1, 3, 3, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 0, 0, 1, 1, 3, 4, 3, 3, 5, 5, 5, 5, 5, 5, 1, 1, 5, 5, 4, 4, 6, 6, 1, 2, 2, 5, 6, 4, 5, 4, 6, 6, 2, 2, 6, 6, 5, 5, 7, 7, 1, 2, 2, 4, 5, 3, 3, 5, 5, 2, 2, 6, 6, 5, 5, 7, 7, 1, 2, 2, 2, 2, 6, 6, 5, 5, 7, 7, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 3, 3, 1, 1, 1, 5, 5, 4, 4, 7, 7, 7, 7, 5, 5, 7, 8, 8, 8, 6, 8, 6, 0, 3, 3, 2, 2, 5, 5, 3, 3, 4, 4, 0, 3, 3, 2, 2, 4, 4, 3, 3, 4, 4, 0, 3, 2, 2, 10, 9, 10, 8, 9, 9, 9, 8, 7, 6, 8, 6, 8, 5, 4, 4, 6, 0, 3, 2, 2, 5, 4, 5, 5, 5, 5, 5, 4, 6, 6, 6, 0, 1, 1, 2, 2, 4, 5, 4, 6, 6, 6, 6, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 6, 8, 8, 1, 2, 2, 2, 2, 4, 5, 5, 5, 5, 4, 4, 7, 7, 10, 10, 8, 9, 9, 8, 5, 5, 6, 9, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 6, 6, 10, 11, 10, 12, 12, 5, 5, 6, 9, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 6, 6, 10, 11, 10, 12, 12, 5, 5, 6, 10, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 7, 7, 8, 6, 6, 6, 10, 11, 10, 12, 12, 5, 5, 6, 9, 8, 9, 8, 3, 3, 5, 5, 7, 7, 7, 7, 3, 3, 4, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 1, 2, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 0, 12, 12, 0, 13, 13, 0, 14, 14, 0, 15, 15, 0, 16, 16, 0, 0, 17, 17, 17, 17, 0, 0, 17, 0, 0, 0, 18, 18, 0, 18, 18, 0, 18, 18, 0, 18, 18, 0, 18, 18, 0, 0, 18, 18, 0, 19, 19, 0, 19, 19, 0, 0, 20, 20, 0, 20, 20, 20, 20, 0, 0, 0, 0, 21, 21, 0, 21, 21, 0, 0, 21, 21, 0, 0, 21, 21, 0, 21, 21, 0, 21, 21, 21, 21, 21, 0, 0, 21, 21, 0, 0, 0, 0, 21, 21, 0, 0, 21, 21, 0, 21, 0, 22, 22, 0, 22, 22, 0, 0, 22, 22, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 25, 25, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 25, 25, 0, 0, 0, 0, 1, 2, 25, 4, 4, 0, 2, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 25, 5, 5, 0, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 25, 6, 6, 6, 6, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 27, 27, 1, 1, 1, 27, 27, 27, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 32, 32, 1, 1, 0, 2, 1, 1, 1, 1, 2, 32, 32, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 32, 4, 4, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 4, 4, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 4, 4, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 4, 4, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 3, 0, 2, 1, 1, 2, 4, 4, 4, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 1133, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 823, 3497, 81, 16855, 81, 10495, 424, 318, 81, 1367, 81, 3734, 26, 500, 104, 32, 500, 104, 81, 5566, 711, 284, 617, 426, 280, 330, 3524, 32, 16855, 32, 10495, 424, 318, 32, 1367, 32, 3734, 25, 284, 617, 2310, 280, 330, 3341, 44419, 225, 8184, 424, 318, 8822, 3639, 25, 284, 617, 6057, 280, 301, 291, 330, 770, 81, 1070, 950, 3829, 32, 770, 463, 2130, 432, 7918, 370, 2129, 47, 1815, 471, 291, 330, 770, 81, 452, 950, 3829, 32, 770, 463, 2102, 432, 7918, 370, 2129, 47, 1815, 471, 284, 320, 284, 617, 10514, 280, 301, 291, 330, 770, 81, 1070, 950, 9254, 319, 83, 44, 1133, 32, 20834, 15339, 75, 31, 34, 35, 31, 34, 35, 1425, 291, 330, 770, 81, 452, 950, 9254, 319, 83, 44, 1133, 32, 20834, 15339, 75, 9299, 95, 9299, 86, 1425, 284, 320, 284, 665, 1505, 81, 3734, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1619, 47, 2521, 711, 291, 415, 1619, 438, 1665, 44, 324, 1619, 280, 2149, 291, 706, 280, 630, 32, 850, 26, 2446, 30, 12373, 30, 9668, 30, 1619, 47, 1819, 5594, 34, 79, 291, 19634, 280, 301, 324, 330, 3631, 950, 1619, 32, 371, 463, 2480, 81, 3631, 370, 1178, 471, 324, 330, 1160, 950, 330, 10495, 1498, 318, 32, 16855, 370, 324, 330, 599, 950, 706, 291, 320, 291, 19634, 710, 599, 4902, 3631, 785, 280, 19634, 710, 3631, 785, 291, 19634, 710, 599, 4902, 3734, 785, 280, 330, 278, 32337, 31, 658, 25, 291, 442, 630, 32, 5178, 710, 3734, 5695, 371, 81, 1141, 26, 2446, 30, 12373, 30, 5518, 330, 3524, 81, 16855, 32, 3734, 81, 10495, 1498, 318, 16855, 370, 706, 47, 14028, 30, 1619, 47, 1819, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 10, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 10, 8, 5, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 10, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 6, 7, 10, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 4, 4, 6, 6, 9, 10, 9, 10, 9, 9, 9, 9, 9, 9, 10, 11, 9, 8, 7, 4, 4, 6, 6, 7, 7, 10, 10, 8, 10, 11, 10, 12, 12, 12, 12, 11, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 7, 7, 4, 4, 8, 10, 10, 9, 9, 6, 6, 7, 9, 9, 4, 4, 8, 10, 10, 9, 9, 6, 6, 8, 8, 8, 8, 8, 4, 4, 5, 9, 10, 8, 10, 10, 8, 8, 8, 7, 8, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 7, 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 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 2, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 3, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 4, 4, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 4, 4, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 5, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 9, 2, 1, 1, 11, 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 ]
[ 465, 5741, 203, 465, 2361, 203, 1070, 18765, 32, 1356, 32, 11025, 81, 1040, 1188, 37877, 203, 1070, 18765, 32, 1819, 81, 24715, 1188, 622, 81, 725, 81, 426, 203, 1070, 526, 307, 105, 648, 32, 1786, 1188, 3082, 874, 203, 1070, 526, 307, 105, 648, 32, 1786, 32, 47708, 1188, 622, 81, 1217, 81, 1786, 81, 1163, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 9737, 81, 11278, 26, 1357, 711, 334, 1123, 81, 426, 280, 622, 81, 725, 81, 426, 26, 1357, 27, 334, 2467, 81, 1786, 280, 622, 81, 1217, 81, 1786, 81, 1163, 26, 725, 81, 426, 27, 334, 3082, 280, 3082, 874, 32, 371, 26, 1357, 32, 496, 30, 2467, 81, 1786, 47, 1217, 81, 1786, 27, 334, 1789, 280, 5053, 1517, 950, 225, 34, 30, 330, 1436, 950, 4247, 111, 334, 415, 1326, 32, 1959, 610, 313, 3705, 563, 284, 1596, 44, 397, 3500, 280, 2361, 32, 12474, 26, 1357, 32, 3705, 710, 4603, 3490, 397, 3640, 280, 2361, 32, 12474, 26, 1357, 32, 3705, 710, 11043, 3490, 397, 6556, 280, 2361, 32, 12474, 26, 1357, 32, 3705, 710, 17577, 3490, 397, 3082, 32, 27351, 81, 11278, 26, 4603, 30, 3640, 474, 6556, 27, 284, 2940, 3268, 30, 484, 44, 397, 1789, 710, 1436, 785, 280, 596, 26, 87, 27, 334, 442, 37877, 26, 1986, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 4, 4, 7, 6, 7, 6, 8, 7, 8, 6, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 8, 8, 6, 7, 5, 5, 8, 8, 6, 5, 2, 2, 3, 5, 6, 4, 4, 6, 6, 3, 3, 5, 5, 5, 8, 8, 10, 11, 10, 13, 12, 13, 11, 13, 13, 6, 6, 8, 8, 10, 11, 10, 13, 12, 13, 11, 13, 13, 6, 6, 8, 8, 10, 11, 10, 13, 12, 13, 11, 13, 13, 6, 6, 9, 10, 10, 10, 9, 10, 9, 9, 10, 10, 9, 5, 5, 6, 6, 6, 6, 6, 6, 10, 12, 12, 9, 9, 11, 12, 11, 2, 2, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 1, 4, 4, 4, 2, 2, 0, 3, 3, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 4, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 1, 2, 0, 0, 1, 1, 1, 4, 4, 5, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15798, 203, 465, 622, 4617, 203, 1070, 1673, 2304, 32, 2501, 32, 3789, 81, 5078, 1188, 2443, 81, 5078, 203, 1070, 1673, 2304, 32, 4882, 1188, 2193, 203, 1070, 894, 32, 3592, 1188, 1420, 81, 18986, 203, 823, 6741, 6267, 7233, 26, 3592, 32, 2410, 1515, 1572, 30, 6035, 2193, 32, 11161, 20081, 27500, 30, 6035, 2193, 32, 776, 2341, 12380, 30, 6035, 15798, 32, 7233, 711, 284, 665, 894, 81, 6656, 81, 1945, 26, 784, 711, 291, 3338, 81, 668, 280, 630, 32, 4765, 86, 1433, 346, 291, 3338, 35, 280, 2322, 32, 983, 32, 2524, 26, 2111, 81, 668, 30, 330, 2111, 35, 683, 291, 3338, 36, 280, 2322, 32, 983, 32, 2524, 26, 2111, 81, 668, 30, 330, 2111, 36, 683, 291, 630, 32, 1821, 81, 761, 26, 2111, 35, 27, 291, 630, 32, 1821, 81, 761, 26, 2111, 36, 27, 291, 4826, 280, 428, 2111, 35, 30, 3338, 36, 79, 291, 12870, 81, 1515, 30, 1673, 280, 630, 32, 1297, 81, 2452, 26, 5078, 47, 5078, 27, 291, 4774, 280, 2443, 81, 5078, 26, 2452, 27, 291, 630, 32, 5299, 26, 3515, 32, 371, 81, 8075, 1026, 4826, 27, 291, 4774, 32, 3789, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 4652, 81, 1515, 30, 330, 2325, 683, 291, 4774, 32, 12830, 81, 3220, 1191, 346, 291, 4774, 32, 1945, 346, 291, 630, 32, 5299, 26, 1657, 26, 3515, 32, 371, 81, 10931, 6182, 225, 36, 27, 203, 589, 894, 81, 9089, 2262, 284, 442, 15798, 32, 2682, 10907, 26, 7203, 6267, 7233, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1420, 81, 18986, 26, 858, 81, 9089, 1157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 2, 2, 3, 4, 4, 4, 2, 2, 2, 3, 4, 4, 4, 2, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 8, 7, 4, 4, 6, 6, 8, 8, 7, 7, 8, 7, 4, 4, 8, 8, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 4, 4, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 12, 11, 12, 12, 12, 11, 7, 8, 7, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 6, 5, 6, 6, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 7, 2, 2, 7, 7, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 3, 1, 0, 8, 8, 1, 1, 2, 8, 8, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 9, 9, 0, 0, 1, 1, 1, 1, 9, 9, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 48885, 38, 1188, 10701, 2852, 30, 34031, 203, 1070, 48885, 38, 32, 30609, 1188, 319, 203, 1070, 48885, 38, 32, 37571, 1188, 319, 203, 1070, 2678, 21031, 32, 1262, 1188, 319, 203, 1070, 2678, 21031, 32, 8463, 1188, 319, 203, 465, 7138, 203, 465, 42406, 203, 465, 2322, 203, 465, 45977, 203, 465, 316, 203, 465, 8529, 761, 203, 465, 22977, 203, 465, 1133, 203, 1070, 3995, 1188, 10477, 410, 203, 1070, 1188, 81, 3718, 452, 7944, 81, 5952, 1188, 9200, 7339, 452, 7944, 3728, 203, 1482, 2312, 1420, 81, 1423, 26, 784, 711, 284, 3330, 261, 739, 81, 2250, 81, 2184, 26, 784, 27, 284, 2074, 81, 761, 81, 1338, 280, 1910, 20534, 26, 67, 5360, 3196, 32, 2386, 922, 10447, 1157, 284, 415, 2074, 81, 761, 81, 1338, 32, 11148, 1215, 346, 610, 34863, 291, 415, 1910, 2963, 922, 853, 463, 12873, 38, 67, 31611, 33, 2135, 81, 6175, 81, 2250, 683, 438, 1665, 44, 324, 2401, 81, 6175, 81, 2250, 280, 3330, 291, 813, 44, 324, 2401, 81, 6175, 81, 2250, 280, 1910, 2963, 922, 853, 463, 12873, 38, 67, 31611, 33, 2135, 81, 6175, 81, 2250, 683, 291, 1910, 22957, 32, 5691, 26, 2521, 30, 617, 7393, 440, 465, 81, 3718, 452, 7944, 392, 313, 10431, 2113, 617, 7393, 440, 465, 81, 3718, 452, 7944, 392, 3778, 84, 48, 4282, 1159, 372, 4131, 1370, 2074, 2670, 29282, 1346, 6346, 452, 7944, 1730, 84, 772, 839, 14872, 839, 2039, 6574, 30, 2192, 322, 636, 461, 1519, 436, 1370, 2074, 544, 322, 2354, 3223, 47136, 4456, 2074, 81, 761, 81, 426, 280, 1910, 28084, 32, 371, 5126, 6777, 26, 2521, 30, 617, 7393, 440, 465, 81, 3718, 452, 7944, 392, 313, 5126, 2074, 619, 2113, 2401, 81, 6175, 81, 2250, 30, 39395, 99, 5360, 657, 291, 415, 2069, 26, 2250, 81, 761, 81, 426, 11060, 34, 44, 324, 415, 2074, 81, 761, 81, 426, 6448, 38, 44, 997, 7607, 346, 863, 4939, 67, 11061, 563, 400, 2074, 81, 761, 81, 426, 280, 2074, 81, 761, 81, 426, 37209, 99, 5360, 20, 324, 2401, 81, 6175, 81, 2250, 280, 2322, 32, 983, 32, 2998, 26, 2250, 81, 761, 81, 426, 5594, 34, 79, 324, 1910, 2963, 922, 11535, 463, 12873, 38, 67, 31611, 33, 2135, 81, 6175, 81, 2250, 370, 2401, 81, 6175, 81, 2250, 27, 324, 2074, 81, 9031, 81, 1253, 280, 1910, 5360, 3196, 32, 2386, 922, 1821, 26, 67, 20534, 26, 2250, 81, 761, 81, 426, 490, 291, 813, 44, 324, 1910, 22957, 32, 5691, 26, 2521, 30, 617, 7393, 440, 465, 81, 3718, 452, 7944, 392, 313, 10431, 2113, 617, 7393, 440, 465, 81, 3718, 452, 7944, 392, 313, 1318, 2074, 1401, 646, 2583, 7511, 30, 313, 7283, 81, 7393, 440, 465, 81, 3718, 452, 7944, 392, 313, 762, 844, 4881, 372, 1188, 322, 6346, 452, 7944, 47136, 4288, 442, 291, 415, 646, 2074, 81, 9031, 81, 1253, 44, 324, 1910, 22957, 32, 24559, 26, 2521, 30, 313, 2930, 44, 358, 1102, 31, 34, 43, 34, 35, 44, 3003, 617, 7393, 440, 465, 81, 3718, 452 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 3, 3, 3, 4, 3, 0, 0, 3, 3, 3, 3, 2, 2, 4, 4, 9, 9, 9, 8, 9, 8, 7, 6, 0, 0, 1, 5, 5, 5, 5, 4, 5, 5, 4, 2, 2, 1, 1, 3, 8, 8, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 3, 3, 4, 4, 4, 8, 8, 8, 8, 7, 7, 11, 11, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 6, 5, 6, 5, 6, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 5, 7, 7, 9, 9, 9, 9, 9, 9, 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, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 7, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 6, 7, 7, 7, 7, 6, 6, 8, 8, 8, 2, 2, 3, 6, 7, 7, 7, 7, 7, 6, 5, 3, 3, 3, 5, 10, 10, 10, 10, 9, 12, 10, 9, 9, 8, 6, 6, 8, 8, 8, 5, 5, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 9, 11, 11, 11, 4, 4, 7, 7, 7, 7, 6, 6, 10, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 8, 7, 4, 4, 9, 9, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 8, 8, 7, 4, 4, 7, 7, 7, 7, 6, 6, 11, 11, 10, 11, 10, 9, 8, 10, 10, 10, 11, 11, 11, 11, 11, 10, 3, 3, 4, 4, 4, 9, 8, 9, 8, 9, 8, 8, 10, 10, 12, 12, 12, 12, 12, 12, 10, 12, 12, 8, 11, 11, 13, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 11, 13, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 5, 5, 2, 2, 3, 4, 5, 5, 5, 5, 3, 3, 3, 8, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 12, 12, 12, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 0, 11, 11, 0, 12, 12, 0, 13, 13, 13, 13, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 15, 15, 15, 15, 15, 15, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 19, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 19, 19, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 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, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 5, 5, 5, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1 ]
[ 505, 17583, 505, 280, 313, 34411, 34571, 286, 31, 22273, 8332, 20, 203, 505, 11794, 505, 280, 313, 10581, 225, 36, 34, 35, 34, 31, 36, 34, 35, 36, 30, 46416, 659, 409, 28740, 4543, 20, 203, 505, 36157, 505, 280, 3037, 34411, 34571, 286, 31, 22273, 8332, 1446, 203, 505, 2077, 505, 280, 313, 37, 31, 15179, 11895, 20, 203, 505, 42086, 505, 280, 313, 34411, 34571, 286, 31, 22273, 8332, 20, 203, 505, 1935, 505, 280, 313, 9762, 589, 282, 50, 9827, 20, 203, 1070, 1619, 1356, 1188, 1619, 4018, 203, 465, 5741, 203, 465, 7138, 203, 589, 3380, 81, 6360, 26, 6558, 711, 284, 415, 19326, 26, 6558, 30, 330, 2999, 81, 6360, 7831, 291, 442, 7715, 32, 2999, 81, 6360, 346, 284, 813, 44, 291, 442, 308, 6558, 32, 9441, 6360, 474, 400, 308, 6558, 32, 6360, 474, 7715, 32, 6124, 319, 225, 36, 38, 319, 225, 37, 40, 34, 34, 27, 319, 225, 35, 34, 1115, 225, 40, 400, 829, 517, 1897, 26, 35, 34, 1115, 225, 40, 27, 203, 50, 1819, 4018, 203, 589, 1245, 81, 23936, 26, 4073, 30, 2899, 30, 3193, 47, 7490, 32, 1589, 30, 1158, 81, 2076, 47, 2521, 30, 3083, 16301, 47, 2521, 711, 284, 1477, 280, 7138, 32, 6665, 32, 2174, 346, 284, 415, 2899, 438, 646, 1665, 44, 291, 4082, 32, 751, 26, 2649, 30, 596, 26, 2795, 27, 474, 330, 30865, 284, 6761, 284, 943, 280, 7138, 32, 6665, 32, 2174, 346, 284, 7715, 280, 943, 429, 1477, 284, 3380, 280, 3380, 81, 6360, 26, 6558, 27, 284, 415, 3380, 333, 225, 40, 34, 44, 291, 7715, 81, 466, 280, 6611, 88, 6791, 25, 904, 3380, 284, 813, 44, 291, 7715, 81, 466, 280, 596, 26, 6558, 27, 284, 415, 1158, 81, 2076, 438, 1665, 44, 291, 4082, 32, 751, 26, 2649, 30, 596, 26, 2795, 27, 474, 330, 3390, 32, 3717, 18296, 44, 904, 101, 25, 904, 7715, 81, 466, 27, 284, 813, 44, 291, 4082, 32, 751, 26, 2649, 30, 330, 5608, 2524, 1162, 3220, 81, 2076, 30, 7715, 81, 466, 2610, 284, 415, 16301, 438, 646, 1665, 44, 291, 436, 3309, 328, 16301, 44, 324, 3309, 26, 2999, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 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, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 7, 7, 3, 3, 5, 7, 8, 8, 8, 7, 3, 3, 4, 4, 4, 6, 11, 10, 11, 11, 9, 9, 9, 14, 13, 14, 12, 12, 15, 16, 14, 14, 15, 15, 13, 13, 14, 14, 14, 14, 11, 10, 10, 12, 12, 11, 11, 12, 8, 8, 7, 7, 9, 11, 11, 10, 10, 11, 9, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 3, 4, 6, 5, 6, 3, 3, 5, 5, 4, 5, 3, 3, 3, 4, 5, 3, 2, 2, 5, 5, 8, 9, 7, 8, 7, 3, 3, 4, 5, 5, 5, 4, 4, 4, 8, 9, 8, 9, 8, 8, 11, 12, 11, 9, 9, 11, 3, 3, 3, 3, 5, 5, 8, 9, 7, 8, 7, 3, 3, 5, 5, 6, 6, 3, 3, 5, 5, 7, 7, 7, 8, 7, 3, 3, 4, 5, 5, 6, 6, 4, 4, 4, 8, 8, 7, 7, 10, 10, 10, 8, 8, 4, 4, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 3, 3, 4, 6, 6, 5, 5, 4, 4, 4, 8, 9, 8, 9, 8, 8, 11, 12, 11, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 8, 4, 4, 5, 5, 5, 9, 10, 9, 10, 9, 9, 13, 12, 11, 13, 13, 13, 12, 12, 13, 13, 12, 3, 3, 4, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 10, 11, 10, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 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, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 2, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 10, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 0, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 9, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 6, 1, 1, 2, 2, 6, 6, 6, 0, 0, 0, 0, 1, 1, 2, 2, 2, 6, 6, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 7, 0, 0, 1, 1, 7, 7, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 7, 7, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 8, 1, 1, 1, 8, 8, 8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 13411, 505, 280, 313, 1617, 33, 3483, 33, 69, 8407, 33, 3653, 33, 1204, 32, 978, 225, 37, 42, 38, 36, 225, 36, 34, 34, 42, 33, 35, 36, 33, 36, 34, 225, 36, 36, 44, 39, 43, 44, 39, 36, 309, 5486, 20, 203, 465, 358, 8407, 32, 14490, 203, 465, 358, 8407, 32, 3653, 203, 465, 358, 8407, 32, 1733, 203, 465, 358, 8407, 32, 12069, 203, 1070, 358, 8407, 32, 3653, 32, 1562, 11377, 5240, 1188, 438, 43831, 203, 20833, 280, 1156, 465, 25300, 85, 1046, 370, 27311, 1026, 28363, 1026, 11544, 203, 2660, 8396, 81, 20810, 81, 1204, 81, 5691, 280, 3177, 203, 589, 18548, 81, 1204, 26, 1855, 30, 1760, 30, 4533, 30, 436, 81, 9569, 711, 284, 1401, 81, 20833, 280, 281, 19308, 32, 297, 20833, 26, 1855, 27, 284, 1401, 81, 43831, 280, 438, 43831, 26, 2121, 30, 1914, 27, 284, 415, 1401, 81, 20833, 461, 1401, 81, 43831, 44, 291, 3649, 29160, 81, 20810, 81, 1204, 81, 5691, 291, 415, 646, 29160, 81, 20810, 81, 1204, 81, 5691, 44, 324, 3124, 280, 313, 9515, 398, 18272, 372, 2552, 2616, 11377, 461, 390, 1046, 1340, 10752, 5327, 96, 78, 102, 20, 474, 766, 1090, 313, 2272, 1631, 4450, 312, 4835, 4679, 15012, 415, 322, 904, 101, 78, 96, 78, 102, 20, 474, 766, 1090, 313, 10199, 1957, 646, 3702, 2624, 372, 8647, 623, 2616, 11377, 6091, 101, 3107, 324, 358, 8407, 32, 12069, 32, 8447, 26, 69, 8407, 32, 12069, 32, 1562, 11377, 35972, 18170, 5711, 30, 1378, 3124, 904, 26542, 26, 2121, 32, 18114, 24542, 18272, 21180, 324, 29160, 81, 20810, 81, 1204, 81, 5691, 280, 2933, 291, 442, 8493, 18272, 25, 284, 4348, 1401, 81, 43831, 44, 291, 442, 8493, 7321, 8265, 25, 284, 4348, 1401, 81, 20833, 44, 291, 442, 8493, 18272, 25, 284, 442, 8493, 2201, 25, 203, 589, 787, 1356, 81, 26653, 26, 1977, 30, 1914, 30, 4533, 711, 284, 436, 23324, 328, 1760, 44, 291, 23324, 32, 5843, 32, 4190, 280, 225, 35, 284, 442, 308, 1977, 30, 1914, 27, 203, 589, 4450, 26, 2121, 711, 284, 358, 8407, 32, 3653, 32, 1297, 7432, 6508, 1796, 26, 2121, 27, 284, 358, 8407, 32, 3653, 32, 1297, 32167, 1796, 26, 2121, 27, 284, 4533, 710, 2514, 11238, 785, 647, 280, 8493, 11238, 25, 284, 4533, 710, 2514, 11238, 6880, 785, 280, 358, 8407, 32, 1733, 32, 1583, 1881, 24542, 11238, 6880, 429, 4190, 683, 284, 4533, 710, 2514, 11238, 8670, 785, 261, 280, 8493, 2514, 11238, 429, 97, 398, 9682, 398, 2514, 11238, 6880, 398, 26803, 5389, 7655, 3197, 6880, 5389, 7655, 6880, 25, 284, 4533, 32, 6551, 26, 2514, 7655, 4547, 780, 2916, 280, 428, 615, 1356, 81, 26653, 1130, 284, 4533, 710, 5618, 3004, 11238, 785, 261, 280, 18548, 81, 1204, 284, 4533, 710, 11238, 785, 351, 280, 3941, 5618, 3004, 11238, 20, 284, 4533, 710, 11238, 6880, 785, 261, 280, 358, 8407, 32, 1733, 32, 1583, 1881, 25416, 284, 4533, 710, 11238, 8670, 785, 262, 280, 8493, 11238, 429, 97, 398, 9682, 398, 11238, 6880, 398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 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, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 3, 2, 2, 4, 4, 6, 6, 6, 4, 6, 4, 6, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 6, 7, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 7, 6, 6, 6, 2, 2, 3, 5, 5, 4, 4, 5, 5, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 12, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 12, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 11, 10, 11, 9, 10, 9, 12, 12, 11, 12, 10, 11, 11, 11, 11, 11, 9, 9, 9, 10, 10, 12, 15, 14, 15, 14, 16, 16, 6, 6, 9, 9, 9, 9, 9, 9, 8, 8, 4, 4, 5, 7, 7, 3, 3, 4, 5, 5, 4, 4, 4, 6, 8, 8, 8, 3, 3, 4, 5, 5, 4, 4, 4, 6, 8, 8, 2, 2, 3, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 8, 9, 7, 8, 6, 6, 7, 2, 2, 3, 5, 4, 4, 4, 0, 1, 1, 2, 3, 2, 1, 1, 7, 6, 7, 5, 6, 6, 6, 6, 5, 6, 5, 2, 2, 7, 6, 7, 5, 6, 6, 6, 5, 6, 5, 2, 2, 5, 7, 7, 7, 4, 4, 4, 6, 6, 2, 2, 5, 7, 7, 7, 7, 4, 4, 8, 7, 8, 6, 7, 7, 6, 8, 8, 8, 8, 8, 2, 2, 5, 7, 7, 7, 7, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 7, 2, 2, 5, 7, 7, 7, 7, 4, 4, 4, 5, 5, 2, 2, 5, 7, 7, 4, 4, 4, 6, 6, 6, 6, 2, 2, 5, 7, 7, 7, 4, 4, 4, 8, 7, 8, 6, 7, 7, 6, 2, 2, 5, 7, 7, 7, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 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, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 1, 2, 0, 4, 4, 0, 1, 2, 0, 5, 5, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 8, 8, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 3, 3, 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, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 1, 0, 0, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 1, 2, 2, 2, 4, 1, 1, 4, 4, 4, 0, 1, 1, 2, 2, 2, 5, 1, 1, 5, 5, 5, 0, 1, 2, 4, 4, 3, 1, 2, 0, 9, 9, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 0, 10, 10, 2, 1, 2, 10, 10, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 1, 1, 2, 0, 0, 0, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 4, 4, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 31074, 1188, 2350, 1170, 203, 465, 6436, 619, 2065, 203, 465, 322, 7221, 203, 465, 322, 7221, 32, 6800, 619, 394, 203, 1070, 7350, 4280, 32, 8820, 32, 4073, 1188, 1245, 81, 289, 203, 1070, 7350, 4280, 32, 8820, 32, 2304, 1188, 5417, 81, 452, 81, 3965, 203, 1070, 7350, 4280, 32, 8820, 32, 26473, 1188, 45158, 203, 1070, 7350, 4280, 32, 1160, 32, 3812, 1188, 7528, 81, 751, 81, 5410, 203, 1070, 7350, 4280, 32, 1160, 32, 1382, 7221, 81, 2304, 1188, 1930, 81, 4190, 30, 1930, 81, 30518, 203, 50, 751, 81, 289, 463, 1179, 9038, 322, 1542, 683, 203, 589, 1968, 81, 1160, 26, 28422, 81, 605, 30, 28553, 81, 62, 34, 47, 34, 32, 38, 30, 484, 4192, 81, 2592, 81, 91, 47, 2521, 30, 1115, 5321, 711, 284, 5383, 81, 106, 30, 20838, 81, 106, 30, 3809, 81, 107, 30, 1477, 81, 106, 30, 484, 4192, 81, 106, 30, 484, 4192, 81, 1274, 30, 43566, 81, 16564, 30, 5683, 81, 2875, 30, 2080, 81, 2875, 280, 20270, 81, 605, 284, 489, 280, 2069, 26, 11015, 81, 107, 27, 284, 5683, 81, 3965, 280, 5417, 81, 452, 81, 3965, 26, 3239, 81, 2875, 30, 489, 27, 284, 2080, 81, 3965, 280, 5417, 81, 452, 81, 3965, 26, 1327, 81, 2875, 30, 489, 27, 284, 8594, 81, 91, 280, 8594, 26, 106, 3585, 26, 64, 471, 1202, 47, 5962, 595, 44, 308, 6250, 81, 106, 77, 91, 614, 20838, 81, 106, 77, 91, 614, 1477, 81, 106, 77, 91, 5259, 284, 20838, 81, 106, 280, 20838, 81, 106, 77, 11939, 81, 91, 79, 284, 5383, 81, 106, 280, 5383, 81, 106, 77, 11939, 81, 91, 79, 284, 3809, 81, 107, 280, 3809, 81, 107, 77, 11939, 81, 91, 79, 284, 1477, 81, 106, 280, 1477, 81, 106, 77, 11939, 81, 91, 79, 284, 5683, 81, 3965, 280, 5683, 81, 3965, 77, 11939, 81, 91, 79, 284, 2080, 81, 3965, 280, 2080, 81, 3965, 77, 11939, 81, 91, 79, 284, 5683, 81, 2875, 280, 2065, 32, 38094, 26, 3239, 81, 3965, 5594, 34, 79, 284, 2080, 81, 2875, 280, 2065, 32, 38094, 26, 1327, 81, 3965, 5594, 34, 79, 284, 310, 81, 25071, 280, 2065, 32, 1449, 26, 10887, 81, 106, 27, 474, 225, 35, 284, 310, 81, 28826, 280, 2065, 32, 1449, 26, 6250, 81, 106, 27, 474, 225, 35, 284, 484, 4192, 81, 6270, 81, 106, 280, 2065, 32, 9880, 26, 64, 27, 284, 415, 484, 4192, 81, 2592, 81, 91, 438, 646, 1665, 44, 291, 484, 4192, 81, 2592, 280, 484, 4192, 81, 1274, 77, 1291, 89, 81, 106, 30, 484, 4192, 81, 2592, 81, 91, 79, 291, 3684, 81, 24005, 280, 2065, 32, 24744, 26, 1291, 89, 81, 2592, 30, 2065, 32, 24005, 26, 1291, 89, 81, 2592, 490, 291, 484, 4192, 81, 6270, 81, 106, 77, 23794, 81, 24005, 79, 280, 225, 35, 284, 298, 81, 70, 280, 225, 34, 32, 39, 284, 298, 81, 57, 280, 225, 34, 32, 35, 284, 298, 81, 69, 280, 225, 34, 32, 36, 284, 298, 81, 62 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 5, 5, 5, 4, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 4, 5, 3, 3, 5, 3, 2, 2, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 5, 5, 6, 6, 3, 3, 5, 5, 7, 8, 8, 8, 7, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 3, 3, 6, 6, 5, 5, 7, 9, 9, 9, 10, 9, 7, 8, 9, 9, 9, 9, 12, 12, 12, 11, 12, 11, 10, 12, 12, 11, 12, 11, 10, 12, 12, 11, 12, 11, 3, 3, 6, 6, 5, 5, 7, 7, 6, 7, 7, 7, 6, 3, 3, 6, 6, 5, 5, 7, 7, 6, 7, 7, 7, 6, 3, 3, 6, 6, 5, 5, 7, 7, 6, 7, 7, 7, 6, 3, 3, 6, 6, 5, 5, 7, 7, 6, 7, 7, 7, 6, 3, 3, 6, 6, 5, 5, 7, 7, 6, 7, 7, 7, 6, 3, 3, 6, 6, 5, 5, 7, 7, 6, 7, 7, 7, 6, 3, 3, 6, 6, 5, 5, 8, 9, 8, 9, 9, 9, 8, 7, 6, 3, 3, 6, 6, 5, 5, 8, 9, 8, 9, 9, 9, 8, 7, 6, 3, 3, 6, 6, 5, 5, 8, 9, 8, 9, 9, 9, 8, 6, 6, 7, 3, 3, 6, 6, 5, 5, 8, 9, 8, 9, 9, 9, 8, 6, 6, 7, 3, 3, 6, 6, 6, 6, 6, 5, 5, 7, 8, 7, 8, 7, 3, 3, 4, 6, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 8, 8, 8, 7, 7, 9, 9, 9, 8, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 5, 5, 8, 8, 7, 7, 9, 10, 9, 10, 10, 10, 10, 9, 9, 11, 12, 11, 12, 12, 12, 12, 11, 5, 5, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 7, 7, 8, 3, 3, 6, 6, 5, 5, 6, 6, 6, 3, 3, 6, 6, 5, 5, 6, 6, 6, 3, 3, 6, 6, 5, 5, 6, 6, 6, 3, 3, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 2, 1, 1, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 1, 2, 1, 4, 4, 4, 4, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 6, 6, 0, 0, 8, 8, 8, 0, 0, 10, 10, 10, 0, 0, 12, 12, 0, 0, 14, 14, 0, 0, 16, 16, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 3, 0, 0, 3, 2, 3, 3, 0, 0, 5, 2, 5, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 16, 0, 0, 0, 0, 0, 1, 1, 1, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0 ]
[ 465, 5741, 203, 465, 22045, 203, 465, 22045, 36, 203, 1070, 3962, 723, 32, 26878, 32, 2282, 32, 33170, 2304, 1188, 617, 203, 1070, 3962, 723, 32, 26878, 32, 2282, 1188, 2361, 2304, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 81, 4758, 7401, 280, 1665, 203, 589, 739, 81, 25833, 26, 25833, 711, 284, 3649, 617, 4758, 7401, 284, 617, 4758, 7401, 280, 32055, 203, 589, 5657, 2262, 284, 3649, 617, 4758, 7401, 284, 617, 4758, 7401, 280, 1665, 203, 589, 24031, 26, 2872, 81, 668, 30, 1760, 81, 2665, 30, 10677, 81, 2665, 30, 13489, 47, 2521, 30, 324, 319, 1132, 30, 1115, 5321, 711, 284, 3649, 617, 4758, 7401, 284, 415, 646, 617, 4758, 7401, 44, 291, 617, 4758, 7401, 280, 10349, 504, 346, 284, 415, 646, 617, 4758, 7401, 32, 1553, 26, 2872, 81, 668, 30, 1760, 81, 2665, 30, 10677, 81, 2665, 711, 291, 415, 13489, 44, 324, 3636, 13489, 2740, 1132, 30, 1115, 5321, 27, 291, 442, 3177, 284, 442, 2933, 203, 823, 10349, 504, 26, 1473, 711, 284, 617, 17615, 280, 2149, 284, 477, 17614, 284, 665, 617, 3317, 26, 6933, 30, 636, 30, 3420, 711, 291, 9011, 1114, 17615, 77, 426, 79, 280, 3420, 284, 477, 17614, 284, 665, 2454, 81, 1260, 26, 6933, 30, 706, 30, 1244, 81, 5275, 47, 2521, 711, 291, 7019, 81, 2665, 280, 2361, 2304, 32, 12474, 26, 605, 27, 291, 442, 9011, 26, 7004, 47, 7004, 81, 2665, 30, 1244, 81, 5275, 47, 1536, 81, 5275, 27, 284, 665, 1156, 1664, 3207, 784, 30, 7019, 47, 2521, 30, 1244, 81, 5275, 47, 2521, 711, 291, 415, 630, 3667, 823, 505, 863, 10349, 504, 44, 324, 5776, 32, 5691, 41648, 39631, 31, 7873, 7019, 884, 12687, 45, 793, 313, 3775, 313, 1382, 1244, 32055, 4174, 432, 904, 101, 7144, 904, 715, 630, 3667, 823, 29215, 426, 8223, 291, 630, 32, 7004, 280, 7019, 556, 2149, 291, 630, 32, 1536, 81, 5275, 280, 1244, 81, 5275, 284, 665, 1015, 81, 5275, 26, 784, 30, 1202, 30, 2530, 711, 291, 630, 32, 7004, 77, 678, 79, 280, 2530, 284, 665, 617, 1553, 26, 784, 30, 2530, 30, 1760, 81, 2665, 30, 18338, 81, 2665, 711, 291, 1596, 44, 324, 2530, 81, 5462, 30, 2530, 81, 853, 280, 2530, 32, 2998, 463, 12454, 225, 35, 27, 291, 2940, 3268, 44, 324, 5776, 32, 3893, 41648, 5288, 372, 7648, 5750, 18147, 2872, 27, 100, 657, 904, 28363, 1157, 324, 442, 3177, 291, 3420, 280, 1665, 291, 1596, 44, 324, 3610, 81, 1298, 280, 18623, 26, 784, 30, 7610, 1553, 16335, 101, 25, 904, 2530, 81, 5462, 27, 291, 2940, 29316, 44, 324, 3420, 280, 630, 1114, 17615, 32, 371, 26, 2872, 81, 5462, 30, 630, 1114, 17615, 32, 371, 26, 2521, 30, 1665, 490, 291, 813, 44, 324, 5776, 32, 5691, 41648, 39631, 31, 7873, 7019, 884, 12687, 45, 1974, 313, 3775, 7286, 1553, 16335, 101, 657, 904, 2530, 81, 5462, 27, 324, 3420, 280, 308, 5962, 32055, 30, 6186, 30, 786, 30, 1760, 30, 18338, 44, 715, 3610, 81, 1298 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 2, 2, 5, 5, 4, 4, 0, 1, 1, 2, 1, 1, 3, 4, 4, 2, 2, 5, 5, 4, 4, 0, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 4, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 4, 4, 2, 2, 3, 4, 5, 5, 3, 3, 3, 7, 7, 6, 6, 8, 8, 2, 2, 3, 4, 7, 7, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 3, 3, 5, 5, 5, 5, 7, 9, 11, 9, 9, 11, 9, 4, 4, 5, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 9, 10, 8, 9, 8, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 7, 7, 6, 7, 5, 4, 4, 8, 8, 7, 7, 10, 9, 10, 9, 10, 9, 5, 5, 6, 8, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 8, 8, 6, 6, 7, 5, 5, 5, 9, 10, 9, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 10, 10, 10, 12, 13, 13, 12, 12, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 10, 10, 9, 9, 10, 10, 8, 8, 10, 11, 10, 12, 10, 11, 10, 5, 5, 6, 6, 6, 6, 10, 11, 10, 15, 15, 15, 15, 15, 15, 15, 15, 15, 11, 11, 13, 7, 7, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 10, 13, 13, 13, 13, 11, 11, 12, 12, 10, 5, 5, 6, 6, 6, 6, 9, 9, 12, 13, 11, 12, 11, 12, 12, 12, 11, 11, 14, 15, 13, 14, 13, 14, 13, 13, 13, 5, 5, 6, 6, 6, 10, 11, 10, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 16, 16, 16, 16, 11, 11, 12, 12, 10, 7, 7, 9, 9, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 13, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 6, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 8, 8, 2, 8, 8, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 9, 9, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 2, 2, 2, 2, 1, 2, 2, 1, 2, 9, 9, 0, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 3, 3, 0, 0, 2, 2, 1, 1, 2, 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, 1, 1, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 0, 0, 4, 4, 5, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 3, 1, 0, 0, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 4, 4, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ 1277, 203, 465, 5237, 203, 465, 1133, 203, 589, 2575, 2262, 284, 17708, 280, 3177, 284, 1334, 280, 629, 26, 35, 87, 40, 27, 284, 415, 2069, 26, 3731, 32, 6118, 27, 848, 225, 35, 461, 5237, 32, 6118, 77, 35, 79, 610, 4825, 66, 563, 291, 17708, 280, 2933, 291, 1334, 280, 225, 36, 34, 284, 1477, 280, 1133, 32, 9100, 346, 284, 4981, 280, 1605, 284, 436, 595, 328, 2155, 26, 891, 711, 291, 4981, 32, 1689, 26, 1943, 26, 91, 30, 595, 1115, 225, 36, 30, 595, 434, 225, 36, 490, 284, 943, 280, 1133, 32, 9100, 346, 429, 1477, 284, 1201, 4981, 77, 891, 429, 225, 35, 997, 106, 610, 1334, 429, 225, 35, 284, 1201, 4981, 77, 891, 429, 225, 35, 997, 1489, 438, 1665, 284, 1459, 26, 1657, 26, 3953, 490, 284, 415, 646, 17708, 44, 588, 351, 1459, 440, 452, 1253, 2149, 35419, 372, 1487, 7325, 30, 111, 4981, 2296, 1643, 26, 416, 30, 1334, 490, 291, 1509, 440, 1380, 11409, 372, 11361, 657, 203, 823, 6431, 44, 284, 1156, 18645, 505, 280, 2884, 106, 392, 313, 107, 392, 313, 108, 392, 313, 1489, 657, 284, 665, 1156, 1664, 3207, 784, 30, 816, 47, 34, 30, 533, 47, 34, 30, 1288, 47, 34, 30, 1963, 47, 2521, 711, 291, 630, 32, 106, 280, 816, 291, 630, 32, 107, 280, 533, 291, 630, 32, 108, 280, 1288, 291, 630, 32, 1489, 280, 1963, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 313, 1943, 1371, 34, 32, 106, 19, 100, 835, 301, 34, 32, 107, 19, 100, 835, 301, 34, 32, 108, 19, 100, 835, 301, 34, 32, 1489, 19, 100, 1748, 2296, 1643, 26, 784, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 2575, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 4, 4, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 7, 9, 8, 9, 7, 5, 5, 6, 4, 4, 7, 8, 6, 7, 6, 5, 5, 7, 7, 3, 3, 6, 6, 4, 4, 6, 6, 7, 7, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 7, 8, 7, 9, 9, 10, 9, 9, 10, 10, 11, 9, 9, 10, 10, 11, 9, 2, 2, 4, 4, 7, 8, 7, 5, 5, 2, 2, 3, 6, 8, 7, 7, 8, 6, 6, 4, 4, 5, 5, 6, 2, 2, 3, 6, 8, 7, 7, 8, 6, 6, 4, 4, 2, 2, 5, 7, 7, 8, 7, 2, 2, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 9, 9, 9, 9, 9, 0, 1, 1, 1, 1, 1, 5, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 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, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 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, 8, 7, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 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, 1, 1, 0, 2, 2, 0, 3, 3, 2, 3, 3, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 4, 4, 5, 5, 5, 1, 1, 1, 5, 5, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 2, 1, 1, 5, 5, 2, 1, 4, 4, 0, 0, 0, 2, 1, 2, 2, 4, 4, 7, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 4, 4, 8, 0, 0, 2, 2, 2, 0, 2, 1, 1, 4, 4, 1, 0, 1, 1, 1, 4, 4, 10, 1, 10, 10, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 10, 10, 1, 1, 1, 1, 1, 2, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 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, 3, 3, 2, 1, 1, 1, 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, 2, 2, 1, 1, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 2322, 315, 81, 2304, 1188, 9991, 203, 1070, 2322, 315, 81, 34542, 1188, 1778, 81, 10668, 203, 1070, 2322, 315, 81, 34542, 32, 5740, 1188, 32347, 203, 1070, 2322, 315, 81, 34542, 1188, 19224, 81, 1040, 203, 1070, 281, 15130, 1188, 3756, 203, 1070, 281, 15130, 32, 91, 35, 42, 96, 1188, 617, 203, 1070, 281, 15130, 1188, 2568, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 32, 34542, 1188, 32347, 619, 20089, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 32, 34542, 1188, 354, 954, 93, 203, 1070, 281, 15130, 32, 7236, 32, 18150, 32, 34542, 1188, 6864, 4156, 619, 354, 4156, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 50, 3337, 32, 3060, 11564, 2365, 203, 823, 42641, 72, 3566, 959, 6636, 26, 104, 954, 93, 32, 5047, 1396, 31845, 72, 954, 93, 6636, 711, 284, 20418, 280, 330, 35, 32, 34, 32, 34, 25, 284, 9683, 81, 6614, 27739, 81, 2474, 280, 313, 5047, 1396, 81, 4246, 20, 284, 14369, 81, 22471, 81, 8401, 81, 4530, 280, 330, 40, 32, 39, 25, 284, 46874, 81, 2319, 280, 330, 104, 4219, 1473, 25, 284, 665, 745, 81, 5522, 26, 784, 30, 1619, 711, 291, 2599, 26, 5047, 1396, 72, 3566, 959, 6636, 30, 630, 547, 1409, 81, 5522, 26, 1819, 27, 291, 630, 1114, 4219, 81, 6038, 81, 6565, 280, 3177, 291, 630, 32, 7236, 4156, 32, 470, 81, 37400, 81, 1648, 463, 37400, 31, 35, 37, 683, 284, 665, 622, 81, 7236, 81, 5136, 26, 784, 30, 9737, 47, 2700, 711, 291, 8616, 280, 2599, 26, 5047, 1396, 72, 3566, 959, 6636, 30, 630, 547, 371, 81, 7236, 81, 5136, 26, 324, 9737, 47, 8188, 27, 291, 8616, 710, 4219, 81, 5721, 785, 280, 630, 32, 20736, 81, 2319, 291, 442, 8616, 284, 665, 617, 1613, 81, 3210, 81, 37191, 26, 784, 30, 6864, 711, 291, 3616, 280, 2149, 291, 3616, 77, 8494, 32, 37432, 4439, 32, 3364, 81, 19155, 79, 280, 6864, 32, 891, 319, 9991, 32, 24468, 291, 4638, 2035, 81, 612, 30, 617, 3142, 81, 5178, 30, 8822, 27, 280, 630, 1114, 1613, 81, 26843, 26, 2403, 27, 291, 442, 8822, 32, 26843, 284, 665, 617, 371, 81, 1433, 81, 893, 81, 6175, 26, 784, 30, 1334, 81, 3651, 30, 1406, 21511, 47, 2700, 711, 291, 3616, 280, 2149, 291, 3616, 77, 8494, 32, 37432, 4439, 32, 3364, 81, 19155, 79, 280, 1334, 81, 3651, 291, 415, 1406, 21511, 44, 324, 3616, 77, 8494, 32, 37432, 4439, 32, 40363, 81, 35289, 31542, 81, 4135, 81, 2319, 79, 280, 308, 400, 20089, 32, 37432, 620, 32, 371, 81, 464, 81, 2516, 346, 429, 400, 301, 8494, 32, 37432, 620, 32, 5767, 927, 30, 20089, 32, 37432, 620, 32, 72, 18440, 1748, 291, 308, 2035, 81, 612, 30, 617, 3142, 81, 5178, 30, 8822, 27, 280, 630, 1114, 1613, 81, 26843, 26, 2403, 27, 291, 4844, 81, 983, 280, 354, 954, 93, 32, 11779, 81, 59, 9363, 81, 4601, 15842, 81, 19856, 81, 4065, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 4, 2, 2, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 2, 4, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 3, 2, 2, 5, 5, 7, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 3, 3, 6, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 7, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 10, 11, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 9, 8, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 5, 5, 9, 10, 10, 8, 9, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 7, 7, 11, 12, 12, 12, 12, 12, 12, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 10, 11, 9, 5, 5, 8, 10, 10, 10, 10, 7, 7, 8, 9, 9, 9, 5, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 5, 5, 8, 11, 10, 11, 11, 9, 10, 10, 10, 8, 7, 7, 9, 10, 8, 8, 9, 10, 5, 5, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 8, 7, 7, 9, 10, 10, 10, 9, 10, 9, 5, 5, 6, 7, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 7, 6, 7, 5, 4, 4, 7, 7, 5, 5, 8, 11, 10, 11, 11, 9, 10, 10, 10, 8, 7, 7, 8, 8, 5, 5, 6, 7, 6, 6, 6, 10, 13, 12, 13, 13, 11, 12, 12, 12, 12, 12, 12, 12, 12, 10, 9, 9, 10, 10, 14, 15, 15, 13, 14, 14, 14, 14, 14, 13, 11, 11, 11, 15, 14, 15, 15, 13, 14, 14, 12, 12, 14, 15, 15, 13, 14, 14, 12, 5, 5, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 8, 7, 7, 9, 10, 10, 10, 9, 10, 9, 5, 5, 8, 8, 7, 7, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 2, 2, 2, 6, 6, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 1, 6, 8, 8, 3, 3, 0, 9, 9, 0, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 1, 4, 1, 6, 10, 10, 0, 3, 3, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 12, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 4, 4, 2, 4, 4, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 2, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 0, 5, 2, 2, 7, 7, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 3, 2, 2, 2, 4, 4, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4 ]
[ 1070, 7138, 1188, 7138, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 30109, 5728, 32, 4151, 1188, 22806, 10215, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2680, 203, 1070, 597, 3378, 1188, 13957, 1063, 619, 488, 7294, 1063, 203, 1070, 597, 3378, 1188, 38383, 619, 488, 18640, 203, 1070, 597, 3378, 1188, 488, 4220, 30, 488, 36453, 203, 823, 13957, 1063, 26, 3378, 32, 1243, 711, 284, 5881, 5881, 284, 4755, 81, 1311, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 37, 36, 27, 284, 4755, 81, 3801, 280, 22806, 10215, 26, 10529, 81, 426, 47, 103, 20, 18327, 5851, 7852, 657, 284, 4755, 81, 7255, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36, 42, 27, 284, 4755, 81, 426, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 37, 36, 27, 284, 4755, 81, 965, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 27, 284, 5605, 81, 1935, 280, 4549, 32, 4477, 1176, 346, 284, 12898, 98, 81, 1338, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36, 42, 27, 284, 2519, 81, 295, 98, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 284, 10970, 81, 11382, 81, 687, 280, 22806, 10215, 346, 284, 4230, 81, 2851, 280, 4549, 32, 39471, 26, 1536, 47, 2700, 27, 284, 443, 6089, 44, 291, 9541, 81, 426, 280, 1044, 20, 18327, 5851, 9589, 20, 291, 9541, 81, 426, 81, 25857, 280, 1044, 20, 18327, 5851, 9589, 20, 284, 665, 4131, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 5881, 21817, 322, 4131, 667, 5881, 291, 345, 545, 280, 488, 7294, 1063, 26, 2851, 81, 1311, 47, 784, 32, 2851, 81, 1311, 30, 4755, 81, 3801, 47, 784, 32, 2851, 81, 3801, 30, 3775, 4755, 81, 426, 47, 784, 32, 2851, 81, 426, 30, 4755, 81, 965, 47, 784, 32, 2851, 81, 965, 30, 3775, 5605, 81, 1935, 47, 784, 32, 2300, 81, 1935, 30, 12898, 98, 81, 1338, 47, 784, 32, 295, 98, 81, 1338, 30, 3775, 2519, 81, 295, 98, 47, 784, 32, 2245, 81, 295, 98, 30, 4230, 81, 2851, 47, 784, 32, 2679, 81, 2851, 30, 3775, 10970, 81, 11382, 81, 687, 47, 784, 32, 14146, 81, 11382, 81, 687, 27, 291, 345, 545, 32, 2851, 81, 7255, 280, 630, 32, 2851, 81, 7255, 32, 2998, 35052, 291, 345, 545, 32, 2853, 346, 291, 2599, 26, 784, 3667, 823, 7642, 630, 547, 2853, 2740, 1132, 30, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 4, 2, 2, 3, 3, 0, 1, 1, 3, 1, 1, 2, 2, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 5, 5, 4, 4, 7, 7, 6, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 8, 8, 8, 8, 2, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 6, 4, 6, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 10, 10, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 11, 11, 11, 11, 11, 8, 10, 10, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 8, 9, 8, 4, 8, 8, 8, 7, 4, 4, 9, 9, 11, 10, 11, 11, 11, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 0, 4, 4, 0, 3, 3, 2, 2, 0, 5, 5, 0, 5, 5, 3, 3, 2, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 1, 2, 0, 1, 2, 2, 7, 7, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 4, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 4, 11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 12, 1, 2, 1, 2, 1, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 4, 0, 0, 2, 1, 4, 4, 0, 0, 0, 1, 2, 2, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 20717, 1188, 20642, 3103, 2281, 203, 1070, 13625, 1188, 33953, 203, 1070, 13625, 32, 8183, 1188, 19209, 203, 465, 42406, 203, 1070, 31074, 1188, 4054, 203, 1070, 7515, 1188, 11443, 30, 14291, 279, 203, 1070, 5592, 32, 48609, 1188, 6828, 3350, 619, 20523, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 465, 2156, 6053, 203, 465, 2156, 6053, 32, 1553, 853, 619, 6677, 203, 1070, 638, 3376, 1188, 9872, 203, 1070, 638, 5010, 1188, 11929, 203, 1070, 638, 22672, 1188, 2484, 1572, 13976, 203, 1070, 638, 12537, 1188, 22820, 203, 1070, 638, 43870, 1188, 1683, 18050, 203, 81, 13387, 81, 15630, 280, 308, 284, 330, 43870, 370, 330, 5010, 370, 330, 3376, 370, 330, 3376, 41446, 370, 330, 12537, 370, 330, 7174, 370, 330, 8870, 370, 284, 330, 8870, 541, 370, 330, 6974, 370, 330, 34560, 370, 330, 1373, 36201, 279, 370, 330, 2452, 7972, 3376, 370, 330, 31890, 1363, 370, 284, 330, 8870, 1126, 370, 330, 3308, 487, 495, 370, 330, 11358, 268, 370, 330, 20847, 11358, 268, 370, 284, 330, 36099, 1578, 11754, 1211, 1316, 370, 330, 108, 2327, 29350, 370, 330, 108, 2327, 24655, 339, 564, 370, 330, 20314, 370, 330, 3376, 2386, 25, 203, 27, 203, 81, 13926, 81, 8356, 280, 308, 284, 330, 106, 31, 887, 963, 370, 330, 106, 31, 887, 328, 370, 330, 106, 31, 1449, 963, 370, 330, 106, 31, 1449, 328, 370, 284, 330, 107, 31, 887, 963, 370, 330, 107, 31, 887, 328, 370, 330, 107, 31, 1449, 963, 370, 330, 107, 31, 1449, 328, 370, 284, 330, 108, 31, 887, 963, 370, 330, 108, 31, 887, 328, 370, 330, 108, 31, 1449, 963, 370, 330, 108, 31, 1449, 328, 25, 203, 27, 203, 81, 66, 7287, 10875, 280, 5053, 941, 33367, 370, 330, 833, 20057, 370, 330, 17916, 370, 330, 1856, 2558, 6040, 203, 823, 8287, 4232, 26, 1319, 3103, 2281, 711, 284, 665, 1156, 890, 3207, 6933, 30, 636, 30, 26394, 30, 3583, 30, 1115, 5321, 711, 291, 2129, 81, 12420, 280, 330, 2348, 25, 291, 415, 646, 636, 32, 20643, 26, 3648, 81, 12420, 711, 324, 3636, 10091, 440, 1934, 2761, 443, 4467, 2298, 943, 623, 330, 2348, 32147, 291, 3583, 710, 4021, 81, 426, 785, 280, 636, 20129, 1657, 26, 3648, 81, 12420, 2177, 291, 415, 636, 863, 2129, 81, 12420, 44, 324, 436, 3420, 81, 426, 328, 3583, 44, 400, 415, 3420, 81, 426, 328, 8287, 3667, 2665, 26927, 528, 415, 6937, 26, 2011, 77, 1298, 81, 426, 614, 6619, 308, 17614, 30, 907, 1959, 8531, 715, 537, 81, 1427, 280, 3583, 77, 1298, 81, 426, 997, 505, 1298, 29215, 1427, 505, 715, 3610, 81, 1427, 280, 8287, 3667, 2665, 505, 77, 1298, 81, 426, 997, 505, 1298, 29215, 1427, 505, 715, 415, 537, 81, 1427, 438, 1665, 461, 3610, 81, 1427, 438, 646, 1665, 44, 1014, 3583, 77, 1298, 81, 426, 997, 505, 1298, 29215, 1427, 505, 280, 3610, 81, 1427, 528, 813, 44, 715, 537, 81, 1427, 280, 3583, 77, 1298, 81, 426, 997, 505, 1427, 505, 715, 3610, 81, 1427 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 0, 1, 1, 4, 3, 4, 4, 2, 2, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 8, 8, 4, 4, 5, 6, 8, 9, 8, 9, 9, 9, 8, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 9, 9, 9, 9, 6, 6, 7, 11, 11, 12, 12, 12, 11, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 7, 8, 8, 7, 7, 7, 7, 7, 9, 11, 11, 10, 10, 11, 12, 12, 9, 9, 11, 13, 15, 14, 15, 15, 15, 14, 13, 13, 15, 14, 14, 15, 14, 11, 11, 15, 15, 14, 14, 17, 18, 18, 18, 17, 17, 17, 17, 16, 16, 12, 12, 15, 15, 14, 14, 18, 19, 19, 17, 18, 18, 18, 17, 17, 17, 17, 16, 16, 12, 12, 13, 16, 16, 15, 15, 14, 14, 16, 16, 15, 15, 15, 13, 13, 13, 19, 20, 20, 20, 19, 19, 19, 19, 18, 18, 16, 16, 17, 17, 11, 11, 12, 12, 12, 16, 16, 15, 15, 17, 18, 18, 18, 17, 17, 17, 17, 13, 13, 16, 16 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 3, 3, 0, 7, 7, 1, 1, 0, 8, 8, 1, 1, 0, 9, 9, 0, 0, 10, 10, 0, 0, 2, 2, 1, 1, 0, 11, 11, 0, 11, 11, 0, 12, 12, 0, 12, 12, 0, 13, 13, 0, 13, 13, 0, 0, 0, 14, 14, 0, 14, 14, 0, 15, 15, 0, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 19, 19, 1, 2, 1, 1, 1, 2, 19, 19, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 3, 3, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0 ]
[ 1070, 4377, 6173, 101, 1188, 18792, 203, 1070, 638, 1188, 617, 3242, 203, 589, 4166, 81, 2255, 19333, 26, 27381, 81, 3242, 30, 963, 81, 761, 347, 3242, 32, 4260, 392, 2787, 81, 4243, 47, 2521, 30, 528, 1769, 81, 6299, 47, 2521, 711, 284, 665, 1541, 81, 452, 81, 466, 26, 3242, 30, 1541, 81, 314, 30, 29502, 711, 291, 415, 646, 6937, 26, 33553, 30, 18792, 32, 800, 81, 2516, 711, 324, 29502, 280, 313, 421, 3673, 20, 291, 786, 280, 4345, 32, 853, 77, 1251, 81, 314, 79, 291, 415, 4345, 32, 96, 81, 10931, 610, 225, 35, 44, 324, 786, 280, 786, 77, 34, 30, 22913, 291, 415, 4345, 32, 4915, 81, 1873, 77, 1251, 81, 314, 79, 610, 617, 3242, 32, 27803, 81, 40952, 44, 324, 442, 5461, 101, 280, 16125, 38, 88, 1736, 2425, 969, 101, 280, 904, 101, 1736, 96, 853, 280, 904, 101, 20, 766, 4511, 904, 308, 33553, 30, 2855, 4345, 32, 421, 3673, 77, 1251, 81, 314, 614, 2855, 4345, 32, 96, 81, 1251, 81, 7088, 77, 1251, 81, 314, 614, 2855, 786, 27, 291, 813, 44, 324, 415, 2787, 81, 4243, 438, 646, 1665, 44, 400, 2787, 280, 2787, 81, 4243, 77, 3242, 32, 3274, 77, 1251, 81, 314, 3212, 324, 813, 44, 400, 2787, 280, 313, 74, 22259, 101, 12032, 904, 4345, 32, 3274, 77, 1251, 81, 314, 79, 324, 442, 5461, 101, 2511, 16125, 38, 88, 1736, 96, 23, 101, 280, 904, 101, 1736, 2425, 969, 101, 280, 904, 101, 20, 766, 4511, 904, 308, 3274, 30, 2855, 4345, 32, 10402, 77, 1251, 81, 314, 614, 2855, 29502, 30, 2855, 4345, 32, 421, 3673, 77, 1251, 81, 314, 614, 2855, 4345, 32, 96, 81, 1251, 81, 7088, 77, 1251, 81, 314, 1130, 284, 665, 45633, 26, 3242, 30, 1541, 81, 314, 30, 29502, 30, 2935, 47, 2521, 30, 7713, 47, 34, 711, 291, 415, 1541, 81, 314, 610, 617, 3242, 32, 27803, 81, 40952, 44, 324, 3636, 10091, 440, 3817, 1541, 81, 314, 904, 101, 20, 904, 617, 3242, 32, 27803, 81, 40952, 27, 291, 2841, 81, 2661, 280, 4345, 32, 4915, 81, 1873, 77, 1251, 81, 314, 79, 291, 2091, 81, 2661, 280, 4345, 32, 4915, 81, 990, 77, 1251, 81, 314, 79, 291, 415, 1769, 81, 6299, 438, 1665, 556, 7713, 2511, 1769, 81, 6299, 44, 324, 963, 81, 761, 32, 1821, 15339, 86, 428, 1172, 28664, 101, 392, 6024, 347, 1501, 1446, 2082, 78, 96, 25, 904, 6029, 308, 1251, 81, 314, 30, 1541, 81, 452, 81, 466, 26, 3242, 30, 1541, 81, 314, 30, 29502, 2610, 324, 415, 2935, 438, 646, 1665, 44, 400, 963, 81, 761, 32, 1821, 15339, 86, 967, 904, 86, 2082, 78, 96, 25, 904, 308, 2544, 30, 1541, 81, 314, 490, 324, 415, 2841, 81, 2661, 863, 617, 3242, 32, 27803, 81, 40952, 44, 400, 45633, 26, 3242, 30, 2841, 81, 2661, 30, 29502, 47, 33553, 30, 2935, 47, 1251, 81, 314, 30, 715, 7713, 47, 6299, 474, 225, 35, 27, 400, 45633, 26, 3242, 30, 2091, 81, 2661, 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, 4, 4, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 4, 4, 3, 5, 5, 5, 5, 2, 4, 4, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 9, 10, 10, 10, 8, 5, 5, 8, 8, 10, 10, 10, 4, 4, 6, 6, 8, 9, 7, 8, 8, 8, 7, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 5, 5, 5, 8, 8, 9, 10, 9, 9, 4, 4, 5, 8, 9, 9, 9, 7, 8, 8, 8, 7, 6, 6, 8, 7, 8, 8, 8, 5, 5, 5, 7, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 10, 8, 9, 8, 8, 10, 9, 9, 9, 11, 12, 12, 10, 11, 11, 11, 10, 9, 9, 11, 12, 12, 12, 12, 12, 10, 11, 11, 11, 10, 9, 9, 9, 5, 5, 6, 6, 6, 8, 10, 10, 9, 9, 9, 8, 8, 8, 11, 11, 13, 13, 12, 15, 14, 15, 13, 14, 14, 14, 13, 8, 8, 9, 9, 9, 12, 12, 15, 15, 15, 15, 13, 13, 15, 16, 14, 15, 15, 15, 14, 7, 7, 8, 11, 11, 11, 11, 11, 12, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11, 11, 11, 11, 11, 9, 10, 9, 9, 11, 10, 10, 10, 12, 13, 11, 12, 12, 12, 11, 10, 10, 10, 10, 10, 12, 13, 13, 11, 12, 12, 12, 11, 10, 10, 12, 13, 13, 13, 13, 13, 11, 12, 12, 12, 11, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 7, 7, 6, 6, 8, 7, 8, 8, 8, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 11, 12, 12, 12, 9, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 7, 8, 8, 8, 7, 4, 4, 5, 8, 8, 7, 7, 6, 6, 7, 7, 8, 8, 5, 5, 5, 10, 10, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 12, 10, 10, 10, 12, 12, 12, 11, 11, 13, 13, 13, 13, 13, 14, 13, 13, 14, 14, 13, 13, 13, 6, 6, 7, 8, 8, 8, 7, 7, 7, 12, 12, 11, 12, 11, 14, 14, 14, 14, 14, 15, 15, 14, 12, 12, 14, 13, 13, 14, 14, 13, 6, 6, 7, 9, 9, 8, 8, 10, 9, 10, 10, 10, 7, 7, 7, 11, 12, 11, 11, 12, 12, 11, 11, 12, 13, 11, 11, 12, 13, 13, 13, 11, 11, 11, 12, 14, 13, 13, 14, 11, 8, 8, 11, 12, 11, 11, 12, 12, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 3, 1, 1, 1, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 3, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 3, 0, 2, 2, 3, 2, 2, 2, 3, 3, 3, 0, 2, 2, 2, 2, 2, 5, 2, 2, 2, 5, 3, 3, 3, 3, 3, 4, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 3, 0, 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 0, 2, 2, 7, 2, 2, 2, 7, 3, 3, 0, 2, 2, 2, 2, 2, 9, 2, 2, 2, 9, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 2, 1, 1, 7, 2, 2, 2, 1, 1, 1, 9, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1 ]
[ 1277, 21329, 203, 109, 284, 330, 426, 950, 330, 12176, 7603, 13364, 645, 2266, 370, 284, 330, 1648, 950, 330, 34, 32, 35, 370, 284, 330, 3153, 950, 330, 4007, 25122, 33, 46057, 370, 284, 330, 2077, 950, 330, 1614, 2743, 31, 37, 370, 284, 330, 2310, 950, 1524, 284, 36734, 322, 6550, 5750, 313, 3665, 645, 7603, 1628, 2266, 308, 7873, 544, 25253, 284, 1600, 330, 12176, 19891, 9286, 27059, 3943, 810, 322, 22555, 7603, 1695, 284, 13364, 2297, 32, 886, 12260, 438, 372, 2530, 322, 2266, 1600, 645, 322, 15507, 284, 7603, 1628, 623, 312, 25253, 461, 600, 3497, 32, 284, 2616, 458, 30, 844, 1159, 372, 1487, 1370, 3627, 328, 322, 537, 443, 284, 3497, 32, 9849, 32, 1172, 2154, 844, 883, 2552, 322, 2266, 844, 2637, 623, 312, 284, 25253, 461, 600, 3497, 32, 284, 3330, 392, 284, 330, 2116, 950, 313, 20844, 2094, 285, 30, 24806, 604, 20577, 37863, 308, 65, 4019, 5715, 284, 330, 12787, 950, 330, 525, 555, 1499, 32, 774, 2094, 285, 32, 508, 13093, 284, 330, 27263, 950, 2107, 3524, 81, 9849, 81, 1439, 81, 15825, 2188, 284, 330, 605, 950, 428, 291, 330, 15699, 81, 1071, 32, 2593, 370, 291, 330, 9849, 81, 1071, 32, 2593, 370, 291, 330, 4373, 33, 476, 32, 1160, 32, 3560, 32, 4700, 370, 291, 330, 4373, 33, 476, 81, 5275, 32, 2593, 370, 284, 2505, 284, 330, 6380, 950, 5518, 284, 330, 3789, 444, 950, 3177, 30, 284, 330, 2480, 950, 3177, 30, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 2, 2, 5, 5, 5, 3, 2, 2, 2, 5, 5, 3, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 1, 1, 1, 1, 2, 0, 0, 1, 2, 7, 1, 1, 1, 1, 2, 0, 0, 1, 2, 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, 2, 0, 0, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 17, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 19, 0, 0, 1, 1, 2, 21, 0, 0, 0, 1, 2, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1459, 81, 1126, 203, 1070, 1963, 1188, 5447, 299, 203, 1070, 2016, 1188, 447, 4838, 2019, 203, 823, 447, 30832, 26, 32734, 2019, 711, 334, 4942, 280, 2933, 334, 3049, 8104, 280, 313, 66, 30832, 308, 2560, 27, 3425, 9105, 18542, 20, 334, 3049, 6772, 280, 1524, 203, 23, 15446, 17633, 2250, 48, 37597, 203, 2993, 334, 665, 13005, 26, 784, 30, 2919, 30, 2181, 711, 284, 1169, 81, 26883, 280, 1605, 284, 436, 2074, 328, 630, 32, 936, 10937, 26, 1132, 711, 397, 1169, 81, 26883, 32, 8233, 26, 2250, 32, 66, 30832, 7979, 101, 1157, 284, 415, 646, 1169, 81, 26883, 44, 397, 442, 284, 443, 9082, 26, 1514, 299, 711, 397, 665, 1156, 1664, 3207, 784, 30, 1359, 711, 291, 5447, 299, 3667, 1664, 3207, 784, 30, 1359, 30, 330, 1517, 683, 291, 630, 32, 2250, 280, 630, 32, 21201, 463, 2111, 370, 5601, 1057, 8570, 683, 284, 963, 280, 9082, 26, 464, 81, 26883, 77, 34, 997, 2250, 32, 1163, 27, 284, 963, 32, 2250, 463, 10708, 10349, 12459, 683, 284, 963, 32, 8378, 346, 284, 2074, 280, 1665, 284, 436, 5573, 328, 1169, 81, 26883, 44, 397, 415, 2074, 863, 5573, 32, 2250, 44, 291, 2074, 280, 5573, 32, 2250, 291, 963, 32, 8378, 346, 291, 963, 32, 2250, 463, 2250, 904, 101, 7404, 904, 2074, 32, 2808, 983, 27, 291, 963, 32, 8378, 346, 397, 16280, 280, 5573, 32, 18908, 397, 2340, 280, 5573, 32, 770, 397, 1459, 15339, 101, 44422, 37, 37, 101, 10027, 36, 86, 4583, 23, 101, 30, 904, 101, 9905, 904, 308, 324, 5573, 32, 426, 610, 2074, 32, 3059, 10094, 461, 32448, 556, 330, 5769, 324, 5573, 32, 426, 30, 324, 2069, 26, 18908, 471, 324, 2069, 26, 18908, 27, 863, 225, 35, 461, 330, 101, 25, 556, 330, 5769, 324, 2340, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 8, 7, 8, 7, 5, 5, 10, 10, 9, 10, 9, 12, 11, 12, 12, 12, 12, 11, 4, 4, 5, 6, 7, 7, 5, 5, 5, 4, 4, 5, 6, 7, 7, 6, 5, 5, 7, 8, 8, 9, 8, 8, 8, 7, 7, 12, 11, 12, 12, 12, 11, 11, 11, 11, 13, 13, 8, 8, 11, 12, 10, 10, 12, 13, 12, 14, 14, 12, 13, 15, 15, 4, 4, 6, 6, 8, 12, 12, 12, 11, 12, 11, 11, 9, 10, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 4, 4, 7, 8, 7, 4, 4, 6, 6, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 7, 8, 8, 9, 10, 7, 7, 7, 10, 10, 11, 12, 8, 8, 11, 12, 11, 8, 8, 11, 12, 11, 14, 14, 14, 14, 12, 12, 13, 14, 14, 11, 8, 8, 11, 12, 11, 6, 6, 8, 8, 9, 10, 6, 6, 8, 8, 9, 10, 6, 6, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 15, 16, 14, 14, 15, 16, 16, 13, 13, 12, 12, 14, 11, 11, 12, 13, 11, 11, 11, 13, 14, 13, 11, 11, 16, 17, 16, 14, 14, 15, 13, 13, 15, 15, 12, 12, 14, 11, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 1, 2, 3, 3, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 4, 4, 3, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 0, 4, 4, 8, 8, 8, 3, 3, 8, 8, 8, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 3, 3, 0, 2, 1, 5, 5, 0, 0, 2, 2, 5, 5, 0, 0, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 7, 7, 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 ]
[ 5241, 81, 9302, 280, 330, 92, 489, 1410, 25, 203, 31141, 81, 9302, 280, 313, 92, 489, 1410, 30, 570, 44, 91, 44, 101, 20, 203, 4804, 81, 9302, 280, 330, 57, 44, 91, 44, 101, 25, 203, 23164, 81, 22846, 81, 9302, 280, 330, 56, 1410, 25, 203, 22846, 81, 14318, 81, 9302, 280, 330, 92, 506, 25, 203, 15456, 81, 5241, 81, 9302, 280, 330, 86, 31, 95, 31, 75, 25, 203, 15456, 81, 31141, 81, 9302, 280, 330, 86, 31, 95, 31, 75, 570, 44, 91, 44, 101, 25, 203, 16838, 81, 14318, 81, 2109, 81, 39636, 280, 225, 35, 225, 203, 5241, 81, 10840, 81, 9302, 69, 280, 308, 284, 6611, 86, 9299, 95, 9299, 107, 370, 6611, 86, 9708, 95, 9708, 107, 370, 2850, 284, 6611, 86, 9299, 95, 9299, 75, 370, 6611, 86, 9708, 95, 9708, 75, 370, 2850, 203, 27, 203, 4804, 81, 10840, 81, 9302, 69, 280, 308, 284, 6611, 58, 6069, 63, 6069, 69, 370, 10086, 284, 6611, 58, 6069, 63, 370, 11347, 203, 27, 203, 31141, 81, 10840, 81, 9302, 69, 280, 308, 284, 6611, 86, 9299, 95, 9299, 75, 904, 58, 6069, 63, 6069, 69, 370, 423, 284, 6611, 86, 9299, 95, 9299, 75, 904, 58, 6069, 63, 370, 4696, 284, 6611, 86, 9299, 95, 9299, 75, 370, 10086, 284, 6611, 86, 9299, 95, 9299, 107, 904, 58, 6069, 63, 6069, 69, 370, 423, 284, 6611, 86, 9299, 95, 9299, 107, 904, 58, 6069, 63, 370, 4696, 284, 6611, 86, 9299, 95, 9299, 107, 370, 10086, 284, 6611, 95, 9708, 86, 9708, 107, 904, 58, 6069, 63, 6069, 69, 370, 423, 284, 6611, 95, 9708, 86, 9708, 107, 904, 58, 6069, 63, 370, 4696, 284, 6611, 95, 9708, 86, 9708, 107, 370, 10086, 284, 6611, 95, 9708, 86, 9708, 75, 904, 58, 6069, 63, 6069, 69, 370, 423, 284, 6611, 95, 9708, 86, 9708, 75, 904, 58, 6069, 63, 370, 4696, 284, 6611, 95, 9708, 86, 9708, 75, 370, 10086, 203, 27, 203, 37607, 81, 22036, 280, 17359, 203, 1781, 65, 2045, 3349, 81, 22036, 280, 18491, 203, 10463, 81, 9779, 1392, 280, 225, 37, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 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, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 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, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 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, 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 ]
[ 1070, 23009, 941, 1188, 23009, 941, 203, 1070, 488, 783, 4135, 1188, 376, 203, 589, 4450, 81, 9632, 81, 2536, 26, 3968, 81, 1198, 941, 30, 1626, 1746, 81, 1198, 941, 30, 3466, 81, 1515, 30, 2898, 347, 272, 10280, 284, 7730, 280, 2149, 284, 3051, 280, 1626, 1746, 81, 1198, 941, 1365, 2388, 1446, 284, 7730, 77, 2388, 32, 853, 79, 280, 1605, 284, 1780, 280, 3051, 32, 853, 284, 415, 3051, 32, 2040, 440, 1311, 10280, 291, 1780, 280, 596, 26, 2388, 32, 371, 81, 853, 440, 1311, 2131, 284, 7730, 77, 2388, 32, 853, 997, 1689, 440, 347, 28, 1657, 26, 1311, 490, 284, 7730, 77, 2388, 32, 853, 997, 1689, 26, 1311, 27, 284, 7730, 77, 2388, 32, 853, 997, 1689, 440, 347, 28, 1657, 26, 1311, 490, 284, 7730, 77, 2388, 32, 853, 997, 1689, 25416, 284, 415, 3051, 32, 2040, 440, 669, 81, 1548, 81, 761, 10280, 291, 436, 3361, 81, 761, 328, 3051, 32, 668, 81, 2810, 440, 669, 81, 1548, 81, 761, 10280, 324, 7730, 77, 2388, 32, 853, 997, 1689, 463, 497, 2305, 403, 10699, 1548, 81, 761, 27, 291, 7730, 77, 2388, 32, 853, 997, 1689, 25416, 284, 436, 1361, 328, 3051, 32, 2585, 463, 1113, 7831, 291, 7730, 77, 2388, 32, 853, 997, 1689, 24516, 499, 1427, 5781, 9118, 1113, 32, 853, 6897, 82, 683, 284, 3185, 81, 9632, 26, 2388, 30, 5365, 81, 1198, 941, 30, 7730, 30, 2898, 27, 284, 436, 1202, 328, 7730, 44, 291, 23818, 280, 2156, 26, 3316, 81, 1515, 22011, 5115, 678, 37209, 9632, 392, 330, 105, 683, 291, 436, 1628, 328, 7730, 77, 678, 2786, 324, 23818, 32, 1821, 26, 928, 27, 324, 23818, 32, 1821, 9442, 96, 683, 291, 23818, 32, 2679, 346, 284, 442, 203, 589, 3185, 81, 9632, 26, 2969, 1746, 30, 5365, 81, 1198, 941, 30, 7730, 30, 2898, 711, 284, 436, 1361, 328, 1626, 1746, 32, 2585, 463, 1113, 7831, 291, 7116, 81, 10093, 280, 3177, 291, 415, 5365, 81, 1198, 941, 32, 2040, 39109, 426, 370, 1361, 32, 853, 8531, 324, 5365, 81, 1113, 280, 5365, 81, 1198, 941, 710, 426, 370, 1361, 32, 853, 79, 291, 813, 44, 324, 2530, 280, 1361, 32, 853, 32, 2998, 46661, 6448, 35, 79, 324, 415, 5365, 81, 1198, 941, 32, 2040, 39109, 2872, 370, 2530, 8531, 400, 5365, 81, 1113, 280, 5365, 81, 1198, 941, 710, 2872, 370, 2530, 79, 400, 7116, 81, 10093, 280, 2933, 324, 813, 44, 400, 4036, 291, 7730, 77, 1113, 32, 853, 79, 280, 1605, 291, 1550, 280, 7730, 77, 1113, 32, 853, 79, 291, 415, 5365, 81, 1113, 32, 2040, 2009, 463, 7628, 370, 2898, 471, 463, 1311, 683, 10794, 324, 1780, 280, 5365, 81, 1113, 710, 7628, 370, 2898, 997, 371, 81, 853, 463, 1311, 683, 291, 813, 44, 324, 1780, 280, 1361, 32, 853, 291, 1550, 32, 1689, 26, 1311, 27, 291, 1550, 32, 1689, 463, 1057, 28, 1657, 26, 1311, 490, 291, 1550, 32, 1689, 25416, 291, 415, 5365, 81, 1113, 32, 2040, 2009, 463, 853, 1425, 463, 681, 683, 10794 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 5, 5, 1, 1, 4, 4, 2, 2, 4, 4, 6, 6, 6, 6, 5, 7, 7, 2, 2, 5, 7, 6, 7, 5, 4, 4, 2, 2, 4, 4, 5, 6, 2, 2, 3, 5, 6, 5, 7, 7, 3, 3, 6, 6, 8, 11, 10, 11, 11, 11, 10, 12, 12, 2, 2, 6, 8, 7, 8, 6, 6, 5, 8, 6, 8, 8, 9, 8, 2, 2, 6, 8, 7, 8, 6, 6, 5, 6, 5, 2, 2, 6, 8, 7, 8, 6, 6, 5, 8, 6, 8, 8, 9, 8, 2, 2, 6, 8, 7, 8, 6, 6, 5, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 5, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 5, 5, 10, 12, 11, 12, 10, 10, 9, 12, 12, 12, 12, 11, 11, 11, 9, 4, 4, 8, 10, 9, 10, 8, 8, 7, 2, 2, 3, 3, 3, 5, 6, 5, 7, 7, 3, 3, 8, 10, 9, 10, 8, 8, 7, 11, 11, 11, 11, 11, 10, 11, 8, 10, 10, 2, 2, 5, 5, 5, 6, 5, 5, 6, 6, 6, 5, 5, 5, 5, 5, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 8, 12, 12, 12, 11, 13, 11, 9, 11, 11, 8, 10, 10, 4, 4, 5, 5, 5, 6, 7, 6, 5, 5, 9, 10, 9, 10, 9, 6, 6, 9, 10, 9, 12, 11, 4, 4, 7, 8, 7, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 6, 5, 6, 5, 7, 7, 3, 3, 7, 7, 6, 6, 4, 4, 5, 8, 8, 8, 7, 8, 7, 10, 10, 8, 9, 10, 8, 5, 5, 9, 9, 8, 8, 10, 10, 10, 9, 11, 11, 9, 10, 11, 9, 5, 5, 6, 6, 6, 9, 9, 13, 14, 12, 13, 12, 10, 12, 10, 7, 7, 8, 11, 11, 11, 10, 11, 10, 13, 13, 11, 11, 8, 8, 12, 12, 11, 11, 13, 13, 13, 12, 14, 14, 12, 12, 9, 9, 12, 12, 11, 11, 8, 8, 9, 9, 9, 4, 4, 7, 9, 8, 9, 7, 6, 6, 4, 4, 6, 6, 7, 9, 8, 9, 7, 4, 4, 5, 8, 8, 7, 8, 7, 9, 11, 11, 9, 9, 9, 11, 11, 8, 5, 5, 8, 8, 12, 12, 11, 13, 13, 11, 11, 11, 11, 11, 10, 12, 12, 5, 5, 6, 6, 6, 9, 9, 10, 11, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 10, 8, 10, 10, 11, 10, 4, 4, 7, 8, 7, 4, 4, 5, 8, 8, 7, 8, 7, 9, 11, 11, 9, 11, 11, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 2, 2, 7, 1, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 4, 4, 0, 0, 2, 2, 4, 4, 4, 0, 2, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 2, 1, 4, 4, 9, 0, 2, 1, 1, 1, 1, 1, 1, 2, 9, 9, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 3, 3, 0, 0, 2, 2, 0, 2, 1, 4, 4, 10, 10, 10, 0, 2, 1, 1, 2, 10, 10, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 4, 4, 12, 12, 12, 12, 12, 12, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 5, 5, 1, 1, 1, 3, 2, 3, 1, 1, 0, 2, 1, 1, 1, 5, 5, 0, 2, 1, 0, 2, 5, 5, 0, 2, 1, 4, 4, 0, 3, 3, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 5, 5, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 4, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 1, 4, 4, 4, 5, 5, 0, 0, 2, 2, 0, 0, 0, 5, 5, 0, 0, 2, 0, 2, 2, 2, 5, 5, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 4, 4, 4, 0, 0, 2, 2, 5, 5, 0, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 0, 1, 1, 1, 5, 5, 0, 2, 1, 5, 5, 8, 0, 0, 0, 2, 1, 1, 1, 2, 3, 1, 2, 1 ]
[ 465, 29947, 203, 1270, 44, 284, 1188, 43008, 261, 203, 7343, 29986, 44, 284, 3097, 203, 43764, 32, 5522, 26, 284, 4705, 81, 13966, 11414, 44800, 7148, 35, 32, 42, 2188, 284, 298, 839, 47, 1815, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 1, 1, 2, 2, 2, 2, 2, 0, 4, 3, 4, 3, 3, 3, 5, 5, 4, 7, 7, 7, 7, 7, 7, 3, 3, 5, 4, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1360, 203, 465, 2322, 203, 465, 5237, 203, 589, 2297, 81, 2040, 81, 1113, 1647, 26, 1320, 30, 2297, 81, 426, 711, 284, 636, 280, 4939, 2296, 2524, 2009, 1320, 3667, 426, 7642, 2297, 81, 426, 1130, 284, 1596, 44, 291, 442, 5237, 32, 3477, 77, 426, 79, 438, 646, 1665, 284, 2940, 25085, 44, 291, 3097, 284, 436, 43606, 328, 5237, 32, 2859, 81, 983, 44, 291, 415, 43606, 32, 1809, 81, 1647, 26, 426, 711, 324, 442, 2933, 284, 436, 3414, 328, 2652, 3667, 983, 26927, 16189, 1596, 44, 324, 43606, 280, 5237, 32, 983, 81, 36118, 81, 2613, 77, 3038, 79, 324, 415, 43606, 438, 1665, 44, 400, 1596, 44, 528, 803, 3739, 4950, 617, 280, 1360, 32, 1809, 81, 1647, 26, 1647, 81, 426, 30, 428, 3038, 1130, 528, 415, 803, 15359, 715, 803, 3133, 2679, 346, 528, 442, 2933, 400, 2940, 29986, 44, 528, 4036, 324, 4348, 43606, 32, 1809, 81, 1647, 26, 426, 711, 400, 442, 2933, 324, 813, 44, 400, 4036, 291, 2940, 25085, 44, 324, 436, 11962, 328, 5237, 32, 983, 81, 12329, 44, 400, 1596, 44, 528, 43606, 280, 11962, 26, 3038, 27, 528, 415, 43606, 32, 1809, 81, 1647, 26, 426, 711, 715, 442, 2933, 528, 813, 44, 715, 1626, 400, 2940, 29986, 44, 528, 4036, 324, 813, 44, 400, 415, 2322, 32, 983, 32, 34103, 26, 3038, 711, 528, 1596, 44, 715, 803, 3739, 4950, 617, 280, 1360, 32, 1809, 81, 1647, 26, 1647, 81, 426, 30, 428, 3038, 1130, 715, 415, 803, 15359, 1014, 803, 3133, 2679, 346, 715, 442, 2933, 528, 2940, 29986, 44, 715, 3097, 284, 813, 44, 291, 442, 3177, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 8, 7, 6, 9, 8, 9, 9, 7, 8, 8, 7, 2, 2, 3, 3, 3, 5, 8, 9, 7, 8, 7, 6, 6, 6, 3, 3, 4, 4, 4, 4, 2, 2, 3, 3, 3, 4, 5, 5, 5, 3, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 5, 5, 7, 2, 2, 3, 3, 3, 4, 5, 5, 3, 3, 5, 5, 5, 8, 8, 10, 11, 11, 11, 11, 11, 9, 10, 9, 6, 6, 7, 8, 8, 7, 7, 7, 9, 9, 9, 14, 13, 13, 12, 12, 14, 15, 15, 15, 14, 15, 15, 15, 14, 14, 16, 15, 10, 10, 11, 12, 11, 11, 16, 16, 15, 10, 10, 11, 9, 9, 10, 10, 10, 10, 7, 7, 8, 10, 11, 11, 11, 10, 11, 10, 8, 8, 10, 7, 7, 8, 8, 8, 5, 5, 6, 6, 6, 6, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 10, 13, 13, 15, 16, 15, 11, 11, 12, 14, 15, 15, 15, 14, 15, 14, 12, 12, 14, 12, 12, 13, 13, 13, 10, 10, 11, 11, 11, 11, 8, 8, 9, 9, 9, 11, 14, 15, 13, 14, 13, 14, 13, 11, 11, 13, 13, 13, 18, 17, 17, 16, 16, 18, 19, 19, 19, 18, 19, 19, 19, 18, 18, 20, 19, 14, 14, 15, 16, 15, 15, 20, 20, 19, 14, 14, 15, 13, 13, 14, 14, 14, 14, 3, 3, 4, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 3, 3, 1, 4, 4, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 4, 4, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 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, 2, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 1, 1, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 1, 1, 5, 5, 5, 0, 0, 3, 3, 3, 3, 0, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 4, 4, 4, 0, 0, 3, 3, 3, 3, 0, 0, 6, 6, 6, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 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, 2, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 6, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2398, 44, 284, 706, 280, 28254, 3524, 563, 225, 36, 37, 38, 30, 313, 426, 2510, 23239, 3918, 291, 3447, 3524, 563, 225, 40, 38, 37, 30, 313, 426, 2510, 3597, 278, 48685, 284, 665, 1156, 1731, 3207, 784, 711, 291, 436, 343, 328, 630, 32, 605, 44, 324, 6761, 343, 284, 665, 2290, 26, 784, 30, 3497, 81, 2171, 711, 291, 436, 343, 328, 630, 32, 605, 44, 324, 415, 343, 710, 3524, 785, 610, 3497, 81, 2171, 44, 400, 442, 343, 203, 823, 6926, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 605, 280, 2398, 346, 284, 665, 622, 81, 605, 26, 784, 711, 291, 442, 630, 32, 605, 284, 665, 622, 81, 426, 26, 784, 30, 3497, 81, 2171, 711, 291, 442, 630, 32, 605, 32, 1809, 26, 3524, 81, 2171, 547, 371, 440, 426, 392, 1665, 27, 284, 665, 622, 81, 12892, 26, 784, 711, 291, 442, 428, 88, 710, 3524, 785, 436, 296, 328, 630, 32, 605, 79, 203, 823, 5316, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 4627, 280, 6926, 346, 284, 665, 1459, 81, 4243, 26, 784, 711, 291, 13077, 280, 630, 32, 4627, 32, 371, 81, 12892, 346, 291, 436, 1430, 288, 328, 13077, 44, 324, 1459, 1430, 288, 324, 1459, 630, 32, 4627, 32, 371, 81, 426, 26, 34946, 27, 203, 325, 1156, 426, 505, 10844, 505, 1831, 14935, 284, 7890, 280, 5316, 346, 284, 7890, 32, 1216, 81, 4243, 346, 203, 465, 3995, 203, 14951, 280, 3995, 32, 3287, 26, 106, 3585, 26, 35, 34, 34, 471, 225, 35, 34, 34, 27, 203, 589, 12947, 26, 14951, 30, 595, 30, 594, 711, 284, 1779, 280, 7515, 77, 92, 79, 284, 7515, 77, 92, 79, 280, 7515, 77, 91, 79, 284, 7515, 77, 91, 79, 280, 1779, 203, 589, 20991, 26, 14951, 30, 1477, 81, 1055, 30, 943, 81, 1055, 711, 284, 2678, 280, 7515, 77, 1366, 81, 1055, 79, 284, 595, 280, 1477, 81, 1055, 474, 225, 35, 284, 594, 280, 943, 81, 1055, 284, 2218, 595, 2511, 594, 44, 291, 415, 7515, 77, 91, 79, 2511, 2678, 44, 324, 595, 280, 595, 29, 35, 291, 4348, 7515, 77, 91, 79, 848, 2678, 44, 324, 12947, 26, 14951, 30, 595, 30, 594, 27, 324, 594, 280, 594, 429, 225, 35, 284, 12947, 26, 14951, 30, 1477, 81, 1055, 30, 595, 31, 35, 27, 284, 415, 308, 91, 31, 36, 27, 848, 1477, 81, 1055, 44, 291, 20991, 26, 14951, 30, 1366, 81, 1055, 30, 595, 31, 36, 27, 284, 415, 943, 81, 1055, 848, 595, 44, 291, 20991, 26, 14951, 30, 595, 30, 943, 81, 1055, 27, 203, 1216, 7515, 203, 23444, 26, 14951, 30, 34, 30, 1657, 26, 14951, 7824, 35, 27, 203, 1216, 7515, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 9, 9, 7, 8, 8, 8, 6, 6, 9, 9, 9, 9, 5, 5, 9, 9, 7, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 8, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 7, 9, 11, 11, 8, 8, 9, 9, 7, 7, 7, 9, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 10, 11, 9, 10, 9, 10, 10, 10, 9, 8, 7, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 9, 9, 6, 7, 7, 7, 8, 9, 6, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 5, 6, 5, 5, 5, 5, 5, 7, 8, 6, 6, 7, 10, 11, 9, 10, 10, 10, 9, 10, 9, 0, 1, 1, 3, 3, 2, 4, 4, 4, 1, 1, 4, 4, 6, 2, 2, 5, 6, 6, 6, 5, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 7, 7, 7, 6, 4, 5, 5, 5, 4, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 5, 6, 5, 2, 2, 5, 6, 5, 4, 4, 5, 6, 5, 2, 2, 5, 6, 5, 4, 4, 0, 1, 1, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 5, 6, 6, 6, 5, 2, 2, 4, 4, 6, 6, 5, 5, 6, 2, 2, 4, 4, 5, 5, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 8, 7, 6, 6, 5, 5, 5, 8, 8, 9, 10, 5, 5, 6, 8, 9, 8, 7, 7, 6, 6, 6, 10, 11, 10, 10, 10, 10, 10, 7, 7, 9, 9, 10, 10, 11, 2, 2, 5, 6, 5, 5, 6, 6, 5, 5, 6, 7, 5, 2, 2, 3, 7, 6, 7, 5, 4, 4, 5, 5, 3, 3, 3, 7, 8, 7, 8, 8, 8, 7, 7, 8, 9, 7, 2, 2, 3, 5, 5, 4, 4, 3, 3, 3, 7, 8, 7, 7, 7, 7, 8, 8, 7, 0, 1, 1, 0, 3, 3, 4, 3, 4, 3, 6, 6, 7, 6, 5, 3, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 3, 3, 1, 2, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 2, 0, 0, 0, 0, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 3, 3, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 2, 1, 2, 2, 2, 3, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 5, 5, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 0, 1, 3, 3, 0, 2, 2, 2, 1, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 0, 6, 6, 2, 1, 2, 2, 2, 2, 2, 6, 6, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 7, 7, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 7, 7, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 0, 2, 0, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 3, 3, 1, 1, 5, 2, 1, 4, 4, 5, 0, 1, 2, 0, 1, 1, 2, 2, 5, 5, 5, 1, 1, 1, 3, 3, 3, 1, 1, 5, 2, 1, 4, 4, 6, 0, 0, 1, 1, 6, 6, 6, 1, 1, 1, 1, 1, 1, 5, 5, 1, 0, 8, 8, 0, 0, 1, 1, 1, 3, 1, 0, 1, 1, 1, 2, 1, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 6436, 619, 2065, 203, 1070, 18414, 1188, 22508, 619, 1869, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 16708, 30, 1201, 81, 2228, 203, 1070, 6436, 32, 4266, 1188, 1201, 81, 955, 81, 2228, 203, 1070, 13134, 32, 1439, 1188, 3772, 38469, 203, 1070, 13134, 32, 3274, 81, 8319, 32, 1439, 1188, 27556, 13976, 203, 1070, 13134, 32, 2304, 1188, 1505, 81, 955, 203, 823, 11533, 4439, 26, 4439, 13976, 30, 3772, 38469, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3111, 47, 36, 711, 291, 630, 32, 2997, 280, 3111, 284, 665, 8157, 26, 784, 30, 1593, 30, 533, 47, 2521, 711, 291, 1593, 280, 1505, 81, 955, 26, 74, 30, 330, 42738, 683, 291, 630, 32, 96, 81, 1131, 81, 32069, 280, 1593, 32, 3229, 77, 35, 79, 291, 442, 630, 284, 665, 617, 371, 81, 3592, 81, 3965, 26, 784, 711, 291, 5941, 280, 2065, 32, 9880, 26, 784, 32, 96, 81, 1131, 81, 32069, 30, 9710, 47, 2420, 27, 291, 5941, 77, 403, 784, 32, 2997, 79, 280, 2933, 291, 442, 5941, 203, 3592, 280, 428, 1815, 30, 3177, 79, 319, 225, 39, 203, 3592, 81, 21890, 280, 428, 34, 30, 225, 36, 30, 225, 38, 30, 225, 40, 30, 225, 42, 79, 203, 74, 280, 2065, 32, 16251, 26, 36, 34, 547, 12091, 26, 36, 30, 225, 35, 34, 27, 203, 32408, 280, 2065, 32, 16251, 26, 34, 30, 225, 36, 34, 30, 225, 36, 547, 12091, 26, 36, 30, 225, 39, 27, 203, 74, 5817, 280, 1593, 32, 2991, 346, 203, 74, 5817, 6894, 225, 35, 403, 36, 79, 280, 225, 34, 203, 107, 280, 428, 34, 30, 225, 35, 79, 203, 3274, 81, 4243, 280, 1149, 463, 38605, 11809, 19108, 683, 203, 3274, 81, 4243, 81, 102, 280, 2787, 81, 4243, 77, 403, 36, 79, 203, 3274, 81, 4243, 81, 5817, 280, 2065, 32, 955, 26, 3274, 81, 4243, 27, 203, 3274, 81, 4243, 81, 5817, 77, 35, 403, 36, 79, 280, 4247, 203, 589, 894, 81, 3792, 81, 19625, 2262, 284, 15805, 280, 11533, 4439, 346, 284, 41022, 81, 7975, 280, 15805, 32, 4698, 26, 74, 30, 533, 547, 3792, 26, 74, 27, 284, 41022, 81, 7975, 36, 280, 11533, 4439, 922, 4698, 81, 3792, 26, 74, 30, 533, 27, 284, 1201, 81, 955, 81, 2228, 26, 32408, 30, 41022, 81, 7975, 27, 284, 1201, 81, 955, 81, 2228, 26, 32408, 30, 41022, 81, 7975, 36, 27, 284, 1201, 81, 2228, 26, 2356, 32, 410, 37, 36, 30, 15805, 32, 3792, 26, 74, 32, 15315, 26, 2356, 32, 410, 37, 36, 3427, 12010, 27, 284, 1201, 81, 2228, 26, 2356, 32, 1808, 37, 36, 30, 15805, 32, 3792, 26, 74, 32, 15315, 26, 2356, 32, 1808, 37, 36, 3427, 12010, 27, 284, 4467, 81, 102, 81, 7975, 280, 15805, 32, 3792, 2009, 3274, 81, 4243, 1130, 284, 1201, 81, 955, 81, 2228, 26, 3274, 81, 4243, 81, 102, 30, 4467, 81, 102, 81, 7975, 32, 38665, 1157, 284, 1201, 81, 16708, 26, 22239, 30, 15805, 32, 3792, 30, 2065, 32, 955, 21145, 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, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 8, 8, 9, 8, 8, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 7, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 10, 9, 10, 7, 6, 6, 4, 4, 5, 0, 3, 2, 2, 5, 4, 4, 4, 3, 3, 4, 0, 3, 3, 3, 2, 2, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 0, 3, 2, 2, 6, 7, 6, 7, 7, 6, 5, 4, 5, 4, 4, 5, 5, 4, 0, 3, 2, 2, 6, 7, 6, 7, 6, 6, 7, 7, 6, 6, 7, 6, 5, 4, 5, 4, 4, 5, 4, 0, 3, 3, 2, 2, 4, 5, 4, 0, 4, 4, 3, 3, 5, 4, 5, 3, 2, 2, 3, 0, 3, 2, 2, 4, 3, 3, 4, 3, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 4, 5, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 0, 4, 4, 4, 4, 4, 3, 5, 4, 5, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 8, 9, 8, 9, 8, 8, 8, 7, 6, 7, 6, 2, 2, 5, 5, 5, 4, 4, 8, 8, 7, 7, 7, 6, 7, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 2, 2, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 5, 2, 2, 5, 5, 5, 7, 6, 7, 7, 7, 5, 5, 8, 9, 8, 11, 10, 11, 10, 12, 11, 12, 12, 12, 10, 7, 5, 2, 2, 5, 5, 5, 7, 6, 7, 7, 7, 5, 5, 8, 9, 8, 11, 10, 11, 10, 12, 11, 12, 12, 12, 10, 7, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 8, 8, 8, 8, 7, 8, 7, 2, 2, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 7, 8, 7, 10 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 2, 2, 1, 4, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 1, 2, 2, 3, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 2, 2, 0, 0, 0, 4, 4, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 2, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 4, 3, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 19, 19, 1, 1, 1, 1, 2, 19, 19, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 0, 2, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 30, 7976, 81, 465, 203, 505, 8795, 505, 280, 1524, 203, 3313, 456, 19218, 44, 334, 4262, 4705, 81, 20973, 32, 978, 1968, 203, 2529, 3312, 415, 18414, 438, 6713, 44, 334, 4262, 429, 85, 330, 465, 18414, 45, 36568, 32, 20973, 32, 858, 42469, 203, 2529, 3312, 415, 456, 19218, 438, 646, 6713, 44, 334, 4262, 3312, 33, 858, 81, 6390, 32, 978, 203, 2993, 203, 465, 6436, 619, 2065, 203, 1070, 6436, 1188, 308, 16251, 30, 1417, 30, 8057, 30, 22483, 30, 10625, 30, 18333, 888, 332, 30, 27224, 30, 291, 1897, 37, 36, 27, 203, 465, 6436, 32, 20973, 619, 456, 19218, 203, 1070, 6436, 32, 4266, 1188, 308, 7233, 30, 10477, 30, 1420, 81, 1647, 81, 9089, 30, 1201, 81, 16708, 30, 284, 1201, 81, 2228, 30, 1201, 81, 37368, 81, 2228, 30, 1201, 81, 955, 81, 37368, 81, 2228, 30, 1201, 3739, 284, 1201, 81, 35502, 30, 1201, 81, 955, 81, 2228, 27, 203, 1070, 18414, 32, 20973, 1188, 308, 19596, 30, 4691, 30, 2748, 30, 20265, 5664, 30, 298, 5817, 30, 298, 5817, 36, 30, 298, 5817, 90, 30, 9807, 30, 291, 10932, 81, 84, 7988, 30, 10932, 90, 81, 84, 7988, 30, 10932, 81, 2754, 5089, 30, 10932, 81, 28900, 2880, 692, 30, 291, 39706, 2880, 692, 30, 29214, 32489, 924, 27, 203, 1070, 18414, 32, 20973, 1114, 858, 2304, 1188, 1201, 81, 1347, 81, 26495, 203, 589, 3995, 26, 891, 711, 284, 442, 10477, 2740, 891, 27, 203, 823, 2108, 37530, 52, 7988, 26, 7233, 711, 284, 665, 894, 81, 4543, 26, 784, 711, 291, 312, 280, 1417, 21145, 35, 32, 34, 30, 225, 36, 34, 30, 225, 34, 30, 225, 34, 614, 4511, 9650, 37, 34, 30, 225, 38, 30, 225, 40, 30, 225, 34, 614, 4511, 428, 36, 30, 225, 35, 30, 225, 36, 34, 30, 225, 36, 614, 4511, 428, 34, 30, 429, 35, 30, 225, 41, 30, 225, 35, 38, 13138, 291, 1399, 280, 1417, 21145, 34, 32, 34, 30, 225, 36, 34, 30, 225, 40, 30, 225, 36, 614, 528, 428, 35, 30, 225, 38, 30, 225, 36, 34, 30, 225, 35, 38, 614, 528, 9650, 37, 34, 30, 225, 35, 30, 225, 41, 30, 225, 34, 614, 528, 428, 36, 30, 429, 35, 30, 225, 34, 30, 225, 34, 13138, 291, 456, 30, 103, 280, 225, 36, 30, 35, 291, 323, 38, 280, 1417, 2009, 35, 34, 32, 34, 30, 225, 34, 32, 34, 30, 225, 36, 32, 34, 30, 225, 35, 38, 32, 34, 1130, 291, 323, 38, 1170, 35, 280, 323, 38, 32, 12091, 3736, 35, 30, 35, 27, 291, 323, 38, 1170, 36, 280, 1417, 21145, 36, 30, 225, 35, 614, 5556, 9650, 37, 34, 30, 225, 38, 614, 5556, 428, 36, 30, 225, 37, 614, 5556, 428, 35, 30, 225, 37, 13138, 291, 323, 38, 1170, 38, 280, 1417, 21145, 35, 30, 225, 34, 30, 225, 34, 30, 225, 34, 614, 5556, 428, 34, 30, 225, 34, 30, 225, 34, 30, 225, 35, 614 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 7, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 12, 12, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 12, 10, 10, 11, 10, 10, 11, 11, 10, 4, 4, 6, 6, 8, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 9, 9, 12, 12, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 12, 10, 10, 11, 10, 10, 11, 10, 4, 4, 7, 8, 6, 6, 8, 7, 8, 4, 4, 7, 6, 6, 8, 10, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 10, 10, 10, 10, 9, 4, 4, 7, 7, 7, 6, 6, 9, 8, 9, 8, 10, 8, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 11, 10, 10, 11, 10, 9, 9, 12, 12, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 4, 4, 7, 7, 7, 6, 6, 8, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10 ]
[ 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, 2, 0, 2, 2, 1, 1, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 4, 4, 0, 2, 1, 1, 2, 0, 5, 5, 1, 2, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 6, 6, 1, 2, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 7, 7, 1, 2, 1, 4, 4, 7, 7, 0, 0, 0, 0, 0, 8, 8, 2, 1, 2, 8, 8, 0, 1, 1, 1, 0, 9, 9, 1, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 5, 7, 5, 1, 1, 1, 7, 7, 1, 7, 7, 5, 7, 7, 7, 7, 7, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 5, 3, 3, 7, 7, 3, 1, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 1, 1, 1, 7, 7, 1, 7, 7, 5, 7, 7, 7, 7, 4, 4, 0, 2, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 7, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 5, 5, 3, 5, 1, 1, 1, 7, 7, 3, 7, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3 ]
[ 1070, 8527, 32, 1262, 32, 24894, 1188, 29420, 81, 20866, 203, 1070, 8527, 32, 8538, 1188, 40075, 203, 1070, 8527, 32, 8538, 32, 4151, 1188, 5692, 30, 18044, 1176, 30, 6608, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 18548, 81, 9941, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 465, 316, 203, 314, 81, 268, 280, 316, 32, 6993, 26, 100, 20, 80, 12390, 66, 46, 314, 2171, 5213, 105, 109, 42, 1748, 12390, 66, 46, 966, 43, 1563, 78, 86, 109, 35, 111, 16214, 490, 12390, 66, 46, 20967, 5213, 86, 109, 35, 1748, 22, 657, 203, 5452, 81, 17980, 81, 268, 280, 316, 32, 6993, 26, 100, 28249, 34, 2009, 35, 31, 43, 8274, 35, 46830, 86, 109, 42, 10598, 683, 203, 823, 5557, 13567, 1227, 1176, 26, 10851, 1176, 711, 284, 1244, 81, 731, 81, 6286, 280, 301, 291, 330, 5790, 950, 30121, 6545, 312, 8529, 1340, 328, 322, 2179, 9439, 74, 41365, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 1405, 13567, 1227, 1176, 30, 630, 14585, 1664, 3207, 100, 25, 14747, 86, 109, 38, 10598, 370, 291, 1769, 81, 1322, 47, 2521, 30, 1847, 81, 1322, 47, 2521, 30, 319, 1132, 30, 1115, 5321, 27, 203, 823, 5557, 25296, 1176, 26, 1176, 711, 284, 1244, 81, 731, 81, 6286, 280, 301, 291, 330, 5790, 950, 330, 7457, 7515, 2298, 526, 328, 225, 34, 2915, 9439, 29102, 29102, 2179, 6418, 284, 320, 284, 665, 5063, 26, 784, 30, 786, 711, 291, 2599, 26, 1405, 25296, 1176, 30, 630, 547, 6008, 26, 853, 27, 291, 415, 786, 328, 29420, 81, 20866, 44, 324, 442, 1044, 2699, 291, 786, 280, 316, 32, 1113, 463, 4987, 8302, 78, 101, 110, 33, 10183, 7243, 2550, 18548, 81, 9941, 26, 853, 490, 291, 345, 280, 9836, 81, 17980, 81, 268, 32, 1903, 26, 853, 27, 291, 415, 345, 44, 324, 442, 1044, 21735, 101, 904, 101, 904, 101, 904, 101, 25, 904, 308, 853, 77, 34, 44, 37, 614, 786, 77, 37, 44, 40, 614, 786, 77, 40, 44, 42, 614, 786, 77, 42, 44, 35, 34, 1130, 291, 3636, 40075, 26, 784, 32, 731, 81, 6286, 710, 5790, 3490, 203, 823, 5557, 1078, 1908, 26, 1908, 711, 284, 665, 1156, 1664, 3207, 784, 30, 11758, 47, 2521, 711, 291, 645, 663, 81, 10615, 1188, 14558, 81, 15916, 11980, 4456, 2599, 26, 1405, 1078, 1908, 30, 630, 14585, 1664, 3207, 10407, 30, 16682, 47, 6103, 81, 15916, 11980, 27, 203, 823, 5557, 6729, 3588, 1918, 1176, 26, 1176, 711, 284, 1244, 81, 731, 81, 6286, 280, 301, 291, 330, 5790, 950, 30121, 6545, 312, 2080, 6504, 2660, 10625, 556, 40639, 3635, 1451, 328, 1593, 35, 36, 37, 38, 39, 40, 41, 46, 34, 556, 225, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 2179, 41365, 284, 320, 284, 665, 1401, 81, 1327, 81, 20967, 26, 784, 30, 1451, 711, 291, 2702, 81, 2171, 30, 2702, 81, 20967, 280, 1451, 20129, 35, 614, 1451 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 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, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 9, 7, 7, 9, 9, 8, 9, 7, 7, 9, 7, 7, 9, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 8, 7, 4, 4, 5, 6, 6, 7, 7, 5, 5, 5, 7, 9, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 11, 10, 4, 4, 6, 6, 9, 9, 9, 9, 8, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 11, 10, 12, 11, 12, 10, 9, 10, 12, 11, 12, 10, 9, 10, 12, 11, 12, 10, 9, 10, 12, 11, 12, 12, 10, 4, 4, 5, 7, 10, 9, 10, 10, 10, 8, 10, 10, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 7, 7, 5, 5, 7, 7, 7, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 8, 9, 9, 9, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 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, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 8, 7, 7, 8, 8, 6, 6, 8, 11, 8, 7 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 3, 3, 0, 5, 5, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 0, 8, 8, 1, 1, 1, 2, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 3, 0, 2, 2, 3, 2, 5, 0, 2, 2, 5, 2, 7, 0, 2, 2, 2, 7, 4, 4, 5, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 2, 2, 2, 2, 1, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2322, 203, 1070, 32714, 107, 1188, 1245, 203, 1070, 32714, 107, 32, 2304, 32, 3245, 1188, 3992, 81, 1515, 203, 1070, 32714, 107, 32, 2304, 32, 1357, 1188, 1326, 81, 37015, 203, 823, 3772, 54, 24720, 2348, 26, 1473, 711, 284, 477, 17614, 284, 665, 645, 81, 3550, 26, 6933, 30, 4070, 711, 291, 442, 9011, 346, 284, 665, 1326, 81, 18455, 26, 784, 30, 1326, 711, 291, 442, 3177, 284, 665, 2156, 26, 784, 711, 16189, 3097, 284, 665, 4230, 26, 784, 30, 5966, 711, 16189, 3097, 284, 665, 1245, 26, 784, 30, 1326, 30, 1869, 1391, 711, 16189, 3097, 203, 823, 559, 9531, 54, 24720, 2348, 26, 1761, 54, 24720, 2348, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1519, 47, 2521, 30, 4588, 47, 2700, 711, 291, 630, 32, 761, 280, 1665, 291, 630, 32, 37015, 101, 280, 739, 346, 291, 630, 32, 751, 12130, 307, 280, 2933, 291, 630, 32, 2811, 280, 4588, 291, 415, 1519, 44, 324, 630, 32, 761, 280, 2156, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 330, 9698, 32, 18455, 1425, 330, 83, 48891, 324, 630, 32, 37015, 101, 32, 1877, 26, 106, 32, 38848, 346, 436, 816, 328, 630, 32, 761, 27, 284, 477, 17614, 284, 665, 645, 81, 3550, 26, 6933, 30, 4070, 711, 291, 4588, 280, 4070, 32, 371, 2420, 463, 11623, 1304, 13387, 81, 2897, 683, 291, 442, 9011, 26, 3245, 81, 1515, 26, 3550, 471, 4588, 27, 284, 665, 1326, 81, 18455, 26, 784, 30, 1326, 711, 291, 11828, 280, 630, 32, 1357, 81, 37015, 26, 1357, 27, 291, 415, 11828, 328, 630, 32, 37015, 101, 44, 324, 442, 2933, 291, 630, 32, 37015, 101, 32, 669, 26, 4426, 27, 291, 415, 630, 32, 761, 44, 324, 630, 32, 761, 32, 1821, 26, 4426, 474, 2322, 32, 928, 12595, 27, 284, 665, 1326, 81, 37015, 26, 784, 30, 1326, 711, 291, 442, 1326, 81, 37015, 26, 1357, 27, 284, 665, 4230, 26, 784, 30, 5966, 711, 291, 415, 630, 32, 761, 44, 324, 630, 32, 761, 32, 2679, 346, 284, 665, 1245, 26, 784, 30, 1326, 30, 1869, 1391, 711, 291, 415, 630, 32, 2811, 44, 324, 4550, 280, 313, 22751, 12843, 1326, 44, 18147, 1357, 27, 101, 20, 324, 1245, 32, 2076, 26, 1643, 47, 3972, 30, 1326, 47, 1357, 30, 3193, 47, 751, 32, 2897, 30, 1869, 1391, 47, 35585, 27, 291, 4348, 630, 32, 751, 12130, 307, 44, 324, 4550, 280, 2884, 22751, 12843, 1326, 44, 18147, 1357, 27, 101, 20, 4511, 313, 429, 1289, 1829, 27431, 1098, 526, 10043, 20, 4511, 313, 308, 2970, 475, 71, 1304, 13387, 81, 2897, 372, 2519, 1169, 27431, 14451, 324, 1245, 32, 2076, 26, 1643, 47, 3972, 30, 1326, 47, 1357, 30, 3193, 47, 751, 32, 2897, 30, 1869, 1391, 47, 35585, 27, 324, 630, 32, 751, 12130, 307, 280, 3177, 291, 1869, 1391, 32, 33439, 32, 5136, 32, 3563, 81, 853, 463, 1794, 348, 2029, 33, 15688, 370, 1869, 1391, 47, 35585, 27, 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, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 10, 14, 13, 14, 12, 13, 12, 13, 12, 12, 14, 14, 14, 14, 10, 12, 12, 6, 6, 10, 11, 11, 9, 10, 9, 12, 11, 12, 11, 9, 10, 10, 10, 11, 12, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 7, 7, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 5, 5, 6, 8, 10, 10, 10, 10, 11, 10, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 5, 6, 6, 7, 8, 8, 5, 5, 5, 7, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 4, 4, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 11, 10, 10, 11, 12, 12, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 7, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 10, 9, 11, 10, 11, 9, 9, 10, 11, 9, 9, 10, 12, 11, 12, 9, 9, 11, 10, 11, 9, 5, 5, 6, 7, 8, 8, 8, 6, 6, 6, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 7, 7, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 10, 11, 13, 12, 13, 10, 10, 12, 11, 12, 10, 7, 7, 10, 11, 11, 11, 9, 9, 4, 4, 10, 9, 10, 8, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 8, 9, 7, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 4, 4, 2, 2, 1, 2, 2, 2, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 4, 4, 4, 2, 1, 2, 2, 2, 2, 5, 2, 4, 4, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 4, 4, 4, 4, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 3, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 2, 3, 3, 3, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 5, 2, 1, 2, 2, 2, 2, 5, 2, 5, 5, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 0, 2, 2, 1, 1, 0, 7, 2, 1, 0, 0, 4, 1, 2, 2, 2, 4, 4, 4, 0, 0, 1, 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, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 0, 2, 2, 1, 1, 0, 7, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 2, 1, 0, 0, 0 ]
[ 465, 3383, 2825, 203, 465, 12460, 30, 3738, 30, 5237, 30, 2322, 203, 465, 2322, 32, 983, 619, 337, 419, 203, 10529, 81, 1216, 280, 3177, 203, 589, 9541, 1216, 2740, 1132, 711, 284, 415, 646, 9541, 81, 1216, 44, 291, 442, 284, 436, 1638, 328, 2181, 44, 291, 1459, 1638, 30, 284, 1459, 203, 823, 2772, 42795, 44, 284, 2604, 81, 470, 280, 739, 346, 284, 5406, 481, 81, 470, 280, 739, 346, 3701, 810, 81, 2142, 280, 2149, 284, 20239, 280, 2149, 284, 665, 1156, 1664, 3207, 784, 30, 4870, 711, 291, 630, 32, 3607, 280, 4870, 291, 2299, 761, 26, 3607, 30, 6663, 630, 3667, 2665, 8223, 291, 415, 646, 19326, 26, 784, 30, 330, 2142, 7831, 324, 630, 32, 2142, 280, 337, 419, 32, 15705, 26, 3607, 27, 20129, 37, 79, 291, 415, 646, 19326, 26, 784, 30, 330, 27263, 7831, 324, 630, 32, 27263, 280, 1605, 291, 4348, 6937, 26, 784, 32, 27263, 30, 596, 711, 324, 630, 32, 27263, 280, 428, 784, 32, 27263, 79, 291, 415, 646, 6937, 26, 784, 32, 27263, 30, 1149, 711, 324, 1459, 313, 924, 44, 330, 27263, 25, 436, 904, 101, 438, 322, 6643, 827, 20, 904, 630, 32, 2142, 324, 5237, 32, 4775, 26, 35, 27, 291, 415, 19326, 26, 784, 30, 330, 26637, 81, 27263, 7831, 324, 415, 6937, 26, 784, 32, 26637, 81, 27263, 30, 596, 711, 400, 630, 32, 26637, 81, 27263, 280, 428, 784, 32, 26637, 81, 27263, 79, 291, 813, 44, 324, 630, 32, 26637, 81, 27263, 280, 1605, 291, 415, 646, 6937, 26, 784, 32, 26637, 81, 27263, 30, 1149, 711, 324, 1459, 313, 924, 44, 330, 26637, 81, 27263, 25, 436, 904, 101, 438, 322, 6643, 827, 20, 904, 630, 32, 2142, 324, 5237, 32, 4775, 26, 35, 27, 291, 415, 19326, 26, 784, 30, 330, 417, 42795, 7831, 324, 415, 646, 6937, 26, 784, 32, 417, 42795, 30, 3738, 32, 44334, 711, 400, 1459, 313, 924, 44, 330, 417, 42795, 25, 436, 904, 101, 438, 904, 101, 30, 646, 667, 20, 766, 528, 904, 308, 784, 32, 2142, 30, 827, 26, 784, 490, 400, 5237, 32, 4775, 26, 35, 27, 324, 2772, 42795, 32, 2142, 81, 470, 32, 669, 26, 784, 32, 2142, 27, 291, 4348, 19326, 26, 784, 30, 330, 1746, 42795, 7831, 324, 415, 646, 6937, 26, 784, 32, 1746, 42795, 30, 3738, 32, 44334, 711, 400, 1459, 313, 924, 44, 330, 1746, 42795, 25, 436, 904, 101, 438, 904, 101, 30, 646, 667, 20, 766, 528, 904, 308, 784, 32, 2142, 30, 827, 26, 784, 490, 400, 5237, 32, 4775, 26, 35, 27, 324, 2772, 42795, 32, 574, 481, 81, 470, 32, 669, 26, 784, 32, 2142, 27, 291, 813, 44, 324, 1459, 313, 924, 44, 1289, 20616, 820, 556, 2835, 42795, 1411, 436, 392, 630, 32, 2142, 324, 5237, 32, 4775, 26, 35, 27, 291, 415, 19326, 26, 784, 30, 330, 18244, 81, 1648, 7831, 324, 2772, 42795, 32, 18244, 77, 784, 32, 18244, 81, 1648, 79, 280, 630, 291, 2772, 42795, 32, 1170, 81, 2142, 77 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 4, 2, 2, 3, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 4, 2, 1, 1, 3, 4, 5, 5, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 2, 2, 0, 1, 1, 2, 1, 1, 1, 5, 5, 4, 4, 6, 2, 2, 5, 5, 5, 4, 4, 6, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 7, 8, 7, 7, 7, 8, 9, 9, 4, 4, 5, 6, 8, 9, 8, 8, 10, 10, 5, 5, 9, 10, 8, 8, 12, 11, 12, 11, 12, 11, 9, 12, 9, 4, 4, 5, 6, 8, 9, 8, 8, 10, 10, 5, 5, 9, 10, 8, 8, 5, 5, 6, 8, 10, 9, 10, 8, 8, 8, 6, 6, 10, 11, 9, 9, 12, 11, 12, 10, 4, 4, 5, 6, 8, 10, 9, 10, 8, 8, 8, 5, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 6, 6, 9, 10, 9, 10, 9, 4, 4, 5, 7, 8, 7, 7, 9, 9, 9, 9, 5, 5, 7, 9, 11, 10, 11, 11, 11, 9, 9, 9, 7, 7, 11, 12, 12, 12, 10, 10, 13, 12, 13, 13, 13, 11, 5, 5, 6, 6, 6, 10, 11, 11, 11, 9, 9, 4, 4, 5, 6, 8, 10, 9, 10, 10, 10, 8, 8, 8, 5, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 6, 6, 9, 10, 9, 10, 9, 4, 4, 5, 7, 8, 7, 7, 9, 9, 9, 5, 5, 7, 8, 10, 12, 11, 12, 12, 10, 10, 11, 12, 10, 7, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 10, 10, 13, 12, 13, 11, 11, 13, 14, 13, 8, 8, 11, 12, 11, 12, 11, 6, 6, 11, 10, 11, 11, 11, 9, 10, 9, 11, 10, 11, 9, 5, 5, 6, 8, 9, 8, 8, 10, 10, 10, 6, 6, 8, 9, 11, 13, 12, 13, 13, 11, 11, 12, 13, 11, 8, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 12, 11, 11, 14, 13, 14, 12, 12, 14, 15, 14, 9, 9, 12, 13, 12, 13, 12, 7, 7, 12, 11, 12, 12, 12, 12, 10, 11, 10, 12, 11, 12, 10, 5, 5, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 7, 7, 10, 11, 10, 11, 10, 4, 4, 5, 7, 8, 7, 7, 9, 9, 9, 9, 5, 5, 11, 10, 11, 9, 11, 10, 11, 11, 11, 9, 8, 8, 4, 4, 9, 8, 9, 9, 9, 7 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 0, 5, 5, 1, 5, 5, 5, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 1, 1, 1, 1, 1, 5, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 3, 3, 4, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 2, 2, 4, 4, 4, 1, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 5, 5, 4, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 6, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 7, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 1, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 3, 3, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 7, 7, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 3, 3, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 7, 7, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 8, 1, 1, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 2, 2, 2, 0 ]
[ 465, 7744, 203, 1070, 48885, 38, 1188, 10701, 2852, 30, 34031, 203, 1070, 8202, 32, 1262, 32, 10632, 10448, 1188, 16281, 10448, 203, 1070, 8202, 32, 1160, 265, 32, 1243, 265, 23929, 1097, 1188, 3678, 265, 23929, 1097, 203, 823, 3678, 265, 12513, 1097, 26, 37571, 32, 67, 8519, 1215, 1097, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1477, 1097, 30, 1688, 1284, 30, 943, 1097, 30, 4356, 1284, 30, 353, 2935, 47, 2521, 30, 9641, 47, 2521, 711, 291, 2599, 26, 1243, 265, 12513, 1097, 30, 630, 14585, 1664, 3207, 2544, 30, 9641, 27, 291, 630, 32, 6461, 7979, 280, 34031, 32, 67, 14255, 56, 346, 291, 630, 32, 753, 1284, 280, 4356, 1284, 291, 630, 32, 2024, 1284, 280, 1688, 1284, 291, 630, 32, 1772, 2130, 1097, 280, 1477, 1097, 291, 630, 32, 1772, 2102, 1097, 280, 943, 1097, 291, 630, 32, 470, 5260, 26, 37571, 32, 67, 8519, 1097, 32, 1097, 1622, 40816, 30, 3177, 27, 291, 630, 32, 1772, 1514, 280, 10701, 2852, 32, 9071, 32, 8387, 291, 630, 32, 470, 16309, 26, 37571, 32, 67, 16309, 26, 784, 32, 1772, 1514, 30, 225, 35, 30, 10701, 2852, 32, 9071, 32, 19453, 1811, 30, 528, 10701, 2852, 32, 9071, 32, 10238, 5529, 30, 10701, 2852, 32, 9071, 32, 10238, 6249, 490, 291, 630, 32, 470, 76, 882, 26, 34, 27, 284, 665, 1477, 1097, 26, 784, 711, 291, 442, 630, 32, 1772, 2130, 1097, 284, 665, 943, 1097, 26, 784, 711, 291, 442, 630, 32, 1772, 2102, 1097, 284, 665, 16880, 26, 784, 30, 42300, 30, 2470, 30, 6852, 47, 2521, 711, 291, 1477, 1097, 280, 630, 32, 1772, 2130, 1097, 291, 943, 1097, 280, 630, 32, 1772, 2102, 1097, 291, 1672, 16309, 280, 630, 32, 1127, 346, 291, 1672, 16309, 32, 20407, 26, 784, 32, 1772, 1514, 27, 291, 42300, 32, 470, 16309, 26, 1772, 16309, 27, 291, 42300, 32, 470, 16077, 26, 784, 32, 1772, 1514, 27, 291, 3498, 6834, 280, 1605, 291, 943, 13753, 280, 630, 32, 416, 1097, 922, 371, 2359, 1943, 1562, 3012, 26, 784, 32, 753, 1284, 27, 291, 1477, 13753, 280, 630, 32, 1366, 1097, 922, 371, 2359, 1943, 1562, 2301, 26, 784, 32, 2024, 1284, 27, 291, 415, 6937, 26, 784, 32, 1366, 1097, 922, 2543, 30, 16281, 10448, 711, 324, 415, 630, 32, 1366, 1097, 922, 2543, 32, 10931, 44, 400, 3498, 6834, 32, 1689, 26, 1366, 1097, 32, 966, 346, 474, 1477, 13753, 27, 400, 3498, 6834, 32, 1689, 26, 1366, 1097, 32, 966, 346, 474, 1477, 13753, 715, 474, 10701, 2852, 32, 67, 48944, 26, 1243, 265, 23929, 1097, 32, 13946, 81, 10573, 517, 225, 36, 30, 225, 34, 490, 400, 3498, 6834, 32, 1689, 26, 416, 1097, 32, 966, 346, 474, 943, 13753, 715, 429, 10701, 2852, 32, 67, 48944, 26, 1243, 265, 23929, 1097, 32, 13946, 81, 10573, 517, 225, 36, 30, 225, 34, 490, 400, 3498, 6834, 32, 1689, 26, 416, 1097, 32, 966, 346, 474, 943, 13753, 27, 400, 9222, 280, 10701, 2852, 32, 67, 48944, 26, 1366, 1097, 32, 966, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 7, 10, 9, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 7, 8, 4, 4, 7, 8, 8, 7, 10, 9, 10, 10, 9, 11, 10, 11, 11, 9, 9, 10, 9, 9, 12, 11, 12, 10, 11, 11, 9, 9, 9, 12, 11, 12, 10, 11, 11, 9, 9, 12, 11, 12, 10, 11, 11, 9, 4, 4, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 6, 6, 7, 8, 8, 8, 4, 4, 7, 6, 6, 7, 8, 8, 8, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 8, 7, 8, 7, 9, 8, 9, 9, 7, 4, 4, 7, 8, 8, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 9, 8, 9, 9, 7, 4, 4, 7, 6, 6, 4, 4, 7, 6, 6, 10, 11, 11, 10, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 7, 6, 6, 10, 11, 11, 10, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 5, 7, 11, 10, 11, 11, 10, 9, 7, 7, 8, 7, 5, 5, 7, 11, 12, 12, 11, 10, 8, 9, 7, 7, 7, 12, 11, 12, 11, 15, 15, 14, 15, 14, 12, 12, 13, 11, 8, 8, 12, 11, 12, 11, 16, 16, 15, 16, 15, 13, 13, 14, 12, 12, 12, 15, 14, 15, 15, 14, 17, 17, 17, 17, 16, 17, 17, 17, 15, 15, 16, 14, 14, 15, 14, 8, 8, 12, 11, 12, 11, 16, 16, 15, 16, 15, 13, 13, 14, 12, 12, 12, 15, 14, 15, 15, 14, 17, 17, 17, 17, 16, 17, 17, 17, 15, 15, 16, 14, 14, 15, 14, 8, 8, 12, 11, 12, 11, 15, 15, 14, 15, 14, 12, 12, 13, 11, 8, 8, 10, 10, 13, 12, 13, 13, 12, 17, 17, 16, 17, 16 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 1, 2, 2, 1, 4, 4, 4, 4, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 1, 1, 0, 0, 2, 5, 2, 2, 1, 1, 1, 0, 0, 2, 7, 2, 2, 1, 1, 0, 0, 2, 9, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 4, 4, 3, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 9, 1, 0, 0, 2, 2, 1, 2, 1, 1, 3, 1, 9, 9, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 3, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 3, 3, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 3, 3, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 20654, 203, 465, 5237, 30, 2322, 30, 36116, 203, 1070, 18414, 1188, 15379, 893, 203, 1070, 18414, 32, 1442, 893, 1188, 39749, 81, 2029, 203, 1070, 12500, 1188, 9612, 203, 1070, 2322, 32, 983, 1188, 6122, 407, 203, 1070, 18414, 32, 5136, 1188, 273, 619, 273, 81, 2452, 203, 465, 6436, 619, 2065, 203, 465, 6436, 32, 20973, 619, 310, 557, 203, 465, 12500, 32, 17449, 619, 5743, 203, 465, 30192, 814, 619, 30192, 203, 465, 18414, 203, 465, 25679, 619, 12052, 203, 465, 2361, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 6910, 8239, 33, 2131, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 5587, 2131, 203, 1070, 46924, 1188, 319, 203, 1070, 28814, 1188, 319, 203, 1070, 16804, 1188, 319, 203, 1070, 6867, 81, 33446, 1188, 319, 225, 203, 1070, 5941, 81, 15688, 81, 605, 1188, 319, 203, 2250, 81, 983, 280, 16763, 25, 203, 605, 81, 983, 280, 2074, 81, 983, 6897, 605, 33, 3210, 34, 34, 39, 7404, 225, 203, 983, 81, 2665, 280, 5053, 605, 81, 15688, 950, 109, 12494, 647, 330, 681, 25, 499, 330, 15688, 370, 28706, 330, 15006, 25, 499, 5608, 15006, 13093, 28706, 330, 8570, 81, 1275, 81, 426, 25, 499, 330, 15688, 81, 1298, 81, 605, 81, 95, 5161, 32, 38817, 32, 6680, 370, 28706, 330, 1945, 81, 983, 25, 499, 330, 1160, 33, 1160, 34, 34, 35, 7404, 24354, 801, 1802, 330, 605, 81, 7318, 950, 109, 24794, 202, 647, 330, 681, 25, 499, 2550, 28706, 330, 15006, 950, 2550, 4985, 330, 8570, 81, 1275, 81, 426, 25, 499, 330, 8570, 32, 38817, 32, 6680, 370, 4985, 330, 1945, 81, 983, 25, 499, 330, 31388, 7404, 24354, 2038, 203, 1945, 81, 668, 280, 428, 466, 26, 91, 27, 436, 595, 328, 2155, 26, 35, 30, 36, 2177, 203, 6250, 81, 668, 280, 2107, 35, 370, 330, 39, 785, 203, 86, 81, 983, 280, 1519, 81, 2665, 710, 605, 81, 7318, 785, 225, 203, 2242, 81, 8478, 280, 41449, 3210, 34, 34, 39, 25, 474, 7610, 1113, 25, 474, 309, 32, 108, 4157, 26, 37, 27, 474, 7610, 102, 35, 100, 25, 474, 540, 30, 766, 353, 706, 81, 983, 474, 330, 1113, 23, 101, 7404, 42668, 101, 32, 108, 4157, 26, 37, 490, 474, 343, 81, 983, 710, 1945, 81, 983, 785, 766, 353, 474, 330, 2795, 34, 34, 35, 81, 1945, 23, 101, 23, 101, 9708, 101, 25, 18147, 100, 32, 108, 4157, 26, 37, 471, 86, 81, 983, 710, 15006, 2188, 78, 355, 343, 81, 983, 710, 8570, 81, 1275, 81, 426, 7698, 766, 353, 436, 540, 328, 1420, 81, 668, 766, 353, 436, 309, 328, 5383, 81, 668, 79, 203, 6073, 32, 44326, 710, 893, 32, 31562, 785, 280, 330, 8387, 25, 203, 6073, 32, 44326, 710, 893, 32, 37654, 785, 280, 330, 30272, 25, 203, 349, 575, 280, 225, 37, 41, 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, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 4, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 5, 7, 7, 7, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 5, 7, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 2, 2, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 0, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 5, 5, 5, 5, 8, 8, 6, 6, 8, 8, 5, 5, 8, 8, 6, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 3, 3, 6, 6, 6, 6, 5, 5, 5, 5, 5, 8, 8, 6, 6, 5, 5, 8, 8, 6, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 6, 8, 8, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 6, 5, 3, 4, 4, 4, 6, 7, 6, 7, 6, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 3, 5, 5, 5, 5, 0, 0, 3, 3, 3, 2, 2, 10, 10, 10, 10, 10, 8, 8, 10, 10, 7, 7, 9, 10, 10, 9, 10, 9, 6, 6, 8, 8, 8, 8, 5, 5, 4, 4, 5, 4, 8, 8, 7, 7, 10, 10, 10, 10, 8, 12, 11, 12, 12, 11, 12, 11, 6, 6, 8, 8, 7, 9, 9, 9, 9, 5, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 10, 9, 10, 10, 9, 10, 9, 9, 9, 9, 8, 10, 10, 8, 8, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 3, 4, 3, 4, 4, 4, 5, 5, 3, 4, 3, 4, 4, 4, 5, 5, 3, 0, 5, 4, 5, 3, 5, 5, 5, 5, 2, 2, 4, 4, 0, 5, 4, 5, 3, 5, 5, 5, 5, 2, 2, 4, 4, 0, 3, 3, 2, 2, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 2, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 3, 3, 2, 2, 0, 7, 7, 1, 1, 0, 8, 8, 0, 2, 1, 1, 2, 0, 9, 9, 0, 2, 1, 1, 0, 10, 10, 0, 1, 1, 0, 11, 11, 0, 12, 12, 1, 1, 0, 13, 13, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 16, 16, 16, 16, 0, 17, 17, 17, 17, 0, 18, 18, 18, 18, 0, 19, 19, 0, 0, 19, 19, 0, 0, 20, 20, 0, 0, 0, 0, 20, 20, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 7, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 3, 1, 2, 5, 5, 2, 0, 0, 6, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 4, 2, 5, 5, 5, 3, 3, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2 ]
[ 1270, 44, 284, 645, 1360, 1188, 17078, 203, 7343, 29986, 44, 284, 3097, 203, 465, 15798, 203, 465, 5741, 203, 1070, 46624, 32, 4280, 1188, 7096, 81, 203, 3602, 280, 5741, 32, 10579, 463, 858, 81, 1028, 1805, 683, 203, 823, 2108, 1419, 2836, 5240, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1028, 98, 81, 1567, 26, 784, 711, 291, 1188, 540, 20056, 32, 1028, 1805, 291, 17078, 26, 994, 103, 32, 1028, 1805, 27, 291, 1188, 540, 20056, 32, 4627, 32, 1028, 98, 81, 1567, 291, 17078, 26, 994, 103, 32, 4627, 32, 1028, 98, 81, 1567, 27, 284, 665, 894, 81, 1028, 1805, 26, 784, 711, 291, 1188, 540, 20056, 32, 1028, 1805, 291, 17078, 26, 994, 103, 32, 1028, 1805, 27, 291, 432, 98, 81, 3477, 280, 540, 20056, 32, 1028, 1805, 32, 371, 81, 1028, 98, 81, 3477, 346, 291, 1188, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 34, 291, 1188, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 36, 291, 1188, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 37, 291, 1188, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 38, 291, 1188, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 39, 291, 7096, 5908, 470, 26, 1028, 98, 81, 3477, 32, 3494, 6182, 739, 2009, 994, 103, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 34, 32, 2109, 66, 81, 4530, 30, 10631, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 36, 32, 2109, 66, 81, 4530, 30, 10631, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 37, 32, 2109, 66, 81, 4530, 30, 10631, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 38, 32, 2109, 66, 81, 4530, 30, 10631, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 39, 32, 2109, 66, 81, 4530, 30, 10631, 1481, 490, 291, 660, 101, 81, 22860, 280, 739, 2009, 1028, 98, 81, 1803, 77, 34, 79, 436, 432, 98, 81, 1803, 328, 432, 98, 81, 3477, 32, 2810, 27944, 291, 7096, 5908, 40403, 81, 22860, 30, 739, 2009, 994, 103, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 34, 30, 4985, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 36, 30, 4985, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 37, 30, 4985, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 38, 30, 4985, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 39, 30, 4985, 1481, 490, 291, 4118, 81, 22860, 280, 739, 2009, 1028, 98, 81, 1803, 77, 35, 79, 436, 432, 98, 81, 1803, 328, 432, 98, 81, 3477, 32, 2810, 27944, 291, 1188, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 34, 81, 3922, 291, 1188, 540, 20056, 32, 1028, 1805, 32, 1028, 1805, 81, 104, 35, 81, 36, 81, 3922, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 7, 4, 4, 7, 9, 9, 8, 9, 9, 7, 4, 4, 5, 7, 6, 7, 6, 7, 7, 7, 7, 4, 4, 7, 10, 10, 9, 10, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 6, 7, 7, 4, 4, 7, 9, 9, 8, 9, 9, 7, 4, 4, 7, 7, 7, 6, 6, 10, 9, 10, 10, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 5, 7, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 9, 9, 12, 12, 12, 12, 11, 12, 11, 7, 9, 14, 14, 13, 14, 14, 12, 13, 13, 13, 13, 13, 13, 13, 11, 12, 12, 12, 12, 10, 10, 10, 14, 13, 14, 14, 12, 13, 13, 13, 13, 13, 13, 13, 11, 12, 12, 12, 12, 10, 10, 10, 14, 13, 14, 14, 12, 13, 13, 13, 13, 13, 13, 13, 11, 12, 12, 12, 12, 10, 10, 10, 14, 13, 14, 14, 12, 13, 13, 13, 13, 13, 13, 13, 11, 12, 12, 12, 12, 10, 10, 10, 14, 13, 14, 14, 12, 13, 13, 13, 13, 13, 13, 13, 11, 12, 12, 12, 12, 10, 10, 10, 9, 4, 4, 7, 7, 7, 6, 6, 8, 11, 11, 11, 11, 10, 11, 10, 9, 10, 11, 11, 11, 10, 10, 13, 13, 13, 12, 13, 12, 4, 4, 7, 8, 8, 8, 7, 7, 9, 13, 13, 12, 13, 13, 11, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 13, 12, 13, 13, 11, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 13, 12, 13, 13, 11, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 13, 12, 13, 13, 11, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 13, 12, 13, 13, 11, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 9, 4, 4, 7, 7, 6, 6, 8, 11, 11, 11, 11, 10, 11, 10, 9, 10, 11, 11, 11, 10, 10, 13, 13, 13, 12, 13, 12, 4, 4, 5, 7, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 7, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 4, 4, 1, 0, 0, 1, 2, 2, 1, 4, 4, 2, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 4, 4, 1, 0, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 3, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 4, 4, 12, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 13, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 1070, 4749, 19631, 1188, 4125, 30, 3878, 203, 1070, 4749, 19631, 1188, 6700, 30, 6700, 2759, 30, 14975, 203, 1070, 4749, 19631, 32, 21596, 444, 1188, 20734, 203, 1070, 4749, 19631, 32, 5558, 32, 1439, 19426, 1188, 319, 203, 1070, 4749, 19631, 1188, 4950, 310, 33170, 203, 1070, 4749, 19631, 32, 5558, 32, 11282, 329, 5275, 1188, 438, 81, 464, 203, 505, 1427, 505, 280, 26155, 1010, 203, 807, 12183, 2680, 23507, 203, 1208, 4600, 51, 4250, 372, 358, 2146, 4973, 4250, 810, 3408, 32, 203, 25974, 30, 3408, 6332, 30, 4250, 461, 8351, 883, 526, 3154, 3417, 4797, 203, 1382, 5750, 556, 561, 1631, 2260, 372, 600, 4905, 677, 27231, 5750, 32, 5076, 1471, 203, 287, 11282, 329, 5275, 2470, 372, 408, 4783, 496, 1110, 31, 1809, 600, 7153, 2530, 438, 5590, 544, 322, 203, 21079, 1186, 5750, 636, 30, 1259, 1755, 1591, 556, 5934, 8036, 1098, 526, 4717, 32, 203, 1460, 39189, 44, 203, 2648, 312, 5750, 30, 313, 858, 35, 392, 688, 6900, 1169, 4250, 372, 816, 17020, 81, 103, 44, 101, 34, 544, 322, 3408, 313, 1786, 563, 664, 595, 4535, 408, 4783, 496, 1110, 31, 669, 769, 496, 2579, 47, 464, 769, 277, 4783, 496, 47, 106, 17020, 81, 103, 44, 101, 34, 894, 35, 664, 595, 4535, 408, 4783, 496, 1110, 31, 669, 31, 2035, 769, 15934, 47, 1786, 32, 2763, 32, 508, 894, 35, 203, 2648, 312, 5750, 30, 313, 858, 36, 392, 688, 6900, 1169, 4250, 372, 21578, 81, 103, 44, 101, 34, 461, 5251, 600, 4905, 677, 27231, 5750, 436, 4250, 461, 17758, 44, 664, 595, 4535, 408, 4783, 496, 1110, 31, 669, 769, 496, 2579, 47, 464, 769, 11282, 329, 5275, 47, 45331, 769, 277, 4783, 496, 47, 17020, 81, 103, 44, 101, 34, 894, 36, 203, 8525, 322, 4308, 432, 312, 5750, 44, 664, 595, 4535, 408, 4783, 496, 1110, 31, 2245, 894, 36, 203, 2648, 312, 5750, 436, 312, 2818, 1256, 32, 1348, 6900, 322, 358, 2146, 4973, 1619, 436, 203, 1256, 594, 12490, 372, 707, 2957, 1441, 81, 103, 44, 101, 34, 31, 101, 34, 44, 85, 34, 32, 85, 35, 34, 36, 37, 544, 1346, 6652, 44, 664, 595, 4535, 408, 4783, 496, 1110, 31, 669, 769, 2035, 2579, 47, 464, 769, 277, 4783, 496, 47, 311, 2957, 1441, 81, 103, 44, 101, 34, 31, 101, 34, 44, 85, 34, 32, 85, 35, 34, 36, 37, 594, 12490, 81, 311, 2957, 1441, 664, 595, 4535, 408, 4783, 496, 1110, 31, 669, 31, 496, 769, 3707, 47, 25172, 594, 12490, 81, 311, 2957, 1441, 203, 17616, 312, 5750, 44, 664, 595, 4535, 408, 4783, 496, 1110, 31, 5820, 894, 35, 203, 11600, 312, 5750, 44, 664, 595, 4535, 408, 4783, 496, 1110, 31, 4898, 894, 35, 203, 7477, 312, 5750, 40028, 312, 2818, 677, 27231, 5750, 44, 664, 595, 4535, 408, 4783, 496, 1110, 31, 1809, 769, 11282, 329, 5275, 47, 4568, 81, 6060, 203, 6478, 312, 5750, 44, 664, 595, 4535, 408, 4783, 496, 1110, 31, 4025, 594, 12490, 81, 311, 2957, 1441, 203, 807, 55, 726, 3629 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 3, 3, 0, 4, 4, 0, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 4, 5, 5, 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 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 8529, 761, 203, 1070, 3363, 1188, 18394, 2338, 203, 1070, 5592, 32, 4722, 1188, 1847, 314, 418, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 203, 1070, 8527, 32, 858, 1188, 308, 284, 19205, 30, 5351, 81, 3550, 30, 2684, 81, 3550, 30, 7116, 23093, 1996, 4228, 30, 203, 27, 203, 1070, 638, 3378, 1188, 17118, 30, 25243, 203, 50, 15193, 81, 3550, 26, 6585, 45421, 81, 47406, 12516, 1689, 950, 2107, 11025, 32, 12023, 32, 12095, 370, 330, 11025, 32, 12023, 32, 101, 1094, 7333, 785, 1748, 203, 50, 7106, 81, 3550, 26, 7789, 81, 2413, 14594, 1057, 21031, 81, 4882, 32, 8512, 725, 32, 11400, 683, 203, 50, 5961, 23093, 1996, 4228, 440, 21031, 81, 6565, 657, 203, 823, 16281, 69, 23078, 1006, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 10632, 69, 23078, 1006, 30, 630, 547, 23741, 346, 291, 13957, 26, 314, 47, 3550, 32, 24819, 81, 779, 30, 5880, 347, 2763, 32, 508, 392, 636, 347, 2763, 32, 508, 1895, 2853, 346, 284, 665, 1201, 2931, 5909, 26, 784, 30, 10313, 30, 2799, 711, 291, 313, 40651, 645, 10437, 2938, 367, 33, 4882, 32, 978, 3107, 291, 4648, 280, 739, 26, 96, 32, 30538, 436, 310, 328, 10313, 32, 28925, 27, 291, 2799, 280, 739, 26, 3140, 27, 291, 630, 32, 5299, 26, 7975, 30, 2799, 27, 284, 665, 894, 81, 300, 500, 23078, 81, 93, 696, 26, 784, 711, 291, 313, 4470, 1224, 1679, 33, 29760, 76, 12266, 14176, 309, 1094, 7333, 3107, 291, 436, 831, 696, 81, 681, 328, 2726, 93, 696, 370, 330, 16885, 108, 7831, 324, 3693, 280, 1847, 314, 418, 32, 2208, 652, 26, 784, 32, 1580, 32, 371, 3247, 101, 1094, 7333, 9708, 101, 32, 2593, 25, 904, 831, 696, 81, 681, 547, 1286, 27, 324, 1984, 470, 280, 3693, 32, 30589, 324, 630, 32, 5299, 26, 965, 470, 32, 11378, 463, 32896, 1425, 330, 525, 555, 1499, 32, 101, 1094, 7333, 32, 1088, 33, 14331, 33, 33565, 33, 34, 32, 43, 683, 324, 19990, 280, 1984, 470, 32, 21967, 463, 965, 683, 324, 630, 32, 5299, 26, 36, 30, 2069, 26, 11400, 490, 23688, 436, 1984, 328, 19990, 44, 400, 630, 32, 862, 2931, 5909, 26, 965, 30, 2107, 881, 3490, 400, 831, 696, 81, 965, 280, 1984, 32, 21967, 463, 881, 11968, 34, 997, 28925, 77, 34, 997, 605, 32, 2998, 463, 525, 555, 2763, 32, 508, 11968, 35, 79, 400, 415, 831, 696, 81, 681, 610, 330, 93, 696, 950, 528, 831, 696, 81, 1427, 280, 1847, 314, 418, 32, 2208, 652, 26, 784, 32, 1580, 32, 371, 26, 93, 696, 81, 965, 547, 1286, 27, 400, 4348, 831, 696, 81, 681, 610, 330, 16885, 108, 950, 528, 4845, 280, 18394, 2338, 26, 784, 32, 1580, 32, 371, 26, 93, 696, 81, 965, 547, 1286, 27, 528, 623, 8529, 761, 32, 13567, 974, 26, 1954, 27, 619, 1288, 88, 44, 715, 630, 32, 5299 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 5, 9, 9, 7, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 6, 1, 2, 4, 4, 4, 4, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 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, 10, 12, 11, 13, 12, 13, 13, 13, 10, 10, 11, 13, 13, 13, 13, 10, 11, 13, 13, 13, 13, 9, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 9, 11, 10, 11, 9, 10, 10, 10, 11, 12, 9, 5, 5, 7, 7, 9, 10, 9, 5, 5, 8, 9, 8, 9, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 7, 7, 7, 6, 6, 9, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 12, 12, 11, 12, 12, 11, 16, 15, 16, 14, 15, 14, 17, 17, 17, 17, 17, 17, 17, 17, 15, 15, 16, 16, 16, 14, 13, 11, 7, 7, 10, 9, 9, 10, 11, 7, 7, 10, 11, 10, 13, 13, 12, 13, 12, 14, 14, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 7, 9, 9, 12, 11, 12, 11, 13, 13, 7, 7, 10, 11, 10, 11, 10, 10, 12, 13, 12, 7, 7, 8, 8, 8, 8, 8, 8, 12, 13, 13, 13, 12, 13, 12, 12, 15, 15, 9, 9, 12, 12, 12, 11, 11, 20, 21, 20, 22, 22, 19, 18, 18, 16, 17, 16, 16, 14, 15, 14, 16, 16, 16, 16, 16, 16, 13, 12, 9, 9, 10, 12, 12, 12, 11, 11, 13, 13, 13, 10, 10, 14, 14, 14, 13, 13, 16, 16, 15, 16, 16, 15, 20, 19, 20, 18, 19, 18, 19, 19, 19, 19, 18, 17, 15, 10, 10, 11, 13, 13, 13, 12, 12, 14, 14, 14, 11, 11, 14, 14, 16, 16, 21, 20, 21, 19, 20, 19, 20, 20, 20, 20, 19, 18, 16, 12, 12, 13, 19, 18, 19, 19, 18, 19, 18, 16, 16, 18, 13, 13, 13, 17, 18 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 6, 6, 1, 2, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 8, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 8, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 3, 2, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 5, 5, 0, 0, 0, 2, 2, 5, 5, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 4, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2 ]
[ 465, 5741, 203, 465, 2919, 2208, 203, 465, 2322, 203, 465, 45301, 983, 203, 465, 787, 1909, 203, 465, 5237, 203, 465, 1914, 203, 465, 23453, 3374, 203, 505, 2116, 505, 280, 330, 3997, 13765, 50, 2175, 32, 508, 308, 64, 25631, 489, 13765, 9905, 203, 589, 6400, 26323, 974, 26, 1855, 81, 1110, 711, 334, 7842, 280, 8594, 26, 1855, 81, 1110, 32, 3494, 1157, 334, 5430, 280, 1605, 334, 436, 1519, 328, 7842, 44, 284, 4060, 81, 1855, 280, 1914, 81, 1110, 77, 983, 79, 284, 415, 4060, 81, 1855, 32, 48356, 44, 397, 5430, 32, 1689, 2176, 936, 26323, 1811, 26, 983, 30, 4060, 81, 1855, 490, 334, 442, 35617, 2524, 26, 4446, 27, 203, 589, 617, 936, 26323, 1811, 26, 983, 30, 4060, 81, 1855, 711, 334, 7367, 280, 8594, 26, 754, 81, 1855, 32, 48356, 27, 334, 7171, 280, 8594, 26, 754, 81, 1855, 32, 13966, 27, 334, 442, 330, 25745, 32, 669, 9672, 4987, 21735, 101, 23954, 904, 101, 30, 904, 101, 21814, 96, 25, 904, 308, 983, 30, 7367, 30, 7171, 27, 203, 589, 617, 936, 2031, 2825, 2262, 334, 4118, 280, 2919, 2208, 32, 2828, 2825, 4064, 1427, 8223, 334, 4118, 32, 669, 81, 1762, 12664, 2024, 81, 761, 370, 528, 3466, 1057, 2024, 81, 761, 370, 528, 2125, 1057, 2157, 370, 528, 3049, 37346, 2797, 3191, 30, 2866, 1688, 372, 458, 1519, 4174, 432, 330, 3775, 330, 20117, 372, 6216, 1688, 32, 2847, 334, 4118, 32, 669, 81, 1762, 12664, 2388, 370, 528, 3466, 1057, 32071, 370, 528, 1244, 33792, 528, 2125, 1057, 1689, 370, 528, 3049, 1057, 51, 3051, 3362, 372, 8971, 436, 7750, 1914, 2276, 32, 330, 528, 330, 9651, 432, 7750, 2276, 328, 4723, 21022, 803, 1098, 526, 330, 528, 330, 9535, 372, 458, 1519, 32, 225, 1348, 4655, 1631, 526, 3191, 330, 528, 330, 12565, 6496, 11834, 334, 4118, 32, 669, 81, 1762, 12664, 2388, 81, 1793, 81, 4254, 370, 528, 3466, 1057, 32071, 81, 1793, 81, 4254, 370, 528, 1244, 33792, 528, 2125, 1057, 1689, 370, 528, 3049, 1057, 51, 3051, 3362, 372, 8971, 436, 7750, 1914, 2276, 30, 10952, 330, 528, 330, 83, 5202, 308, 325, 3154, 4304, 312, 5122, 30, 6178, 1497, 623, 330, 528, 330, 25072, 547, 225, 33766, 328, 4723, 21022, 803, 1098, 526, 6491, 330, 528, 330, 452, 322, 3051, 30, 1273, 48911, 981, 810, 322, 5202, 32, 225, 1348, 4655, 330, 528, 330, 17302, 526, 3191, 4609, 6496, 11834, 334, 4118, 32, 669, 81, 1762, 12664, 983, 81, 1793, 81, 9059, 17611, 370, 528, 3466, 1057, 8478, 81, 1793, 81, 9059, 17611, 370, 528, 1244, 33792, 528, 2125, 1057, 1689, 370, 528, 3049, 1057, 51, 1519, 372, 312, 1914, 803, 461, 600, 26470, 1519, 372, 330, 528, 330, 1382, 803, 328, 322, 4723, 21022, 803, 308, 325, 3154, 4304, 330, 528, 330, 83, 5122, 30, 6178, 1497, 623, 19782, 547, 1348, 4655, 1631, 526, 330, 528, 330, 14256, 4609, 6496, 11834, 334, 442, 4118, 203, 589, 617, 25640, 1215, 27106, 4044, 26, 983, 711, 334, 442, 1519, 32, 3227, 26, 500, 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, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 9, 9, 9, 8, 9, 8, 2, 2, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 8, 8, 7, 8, 7, 4, 4, 5, 7, 7, 6, 7, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 12, 11, 11, 12, 12, 11, 2, 2, 3, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 8, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 8, 8, 8, 7, 8, 6, 2, 2, 3, 6, 6, 6, 6, 6, 7, 6, 7, 6, 6, 6, 6, 6, 6, 7, 6, 4, 4, 6, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 4, 4, 7, 6, 7, 7, 6, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 5, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 5, 5, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 5, 6, 8, 8, 5, 5, 6, 5, 5, 6, 8, 8, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 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, 7, 7, 9, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 5, 5, 6, 8, 8, 5, 5, 6, 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, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 5, 5, 6, 8, 8, 5, 5, 6, 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, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 7, 6 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 1, 1, 2, 9, 9, 0, 0, 1, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 4, 4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 2, 1, 1, 1, 0, 10, 10, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 10, 10, 0, 0, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 1, 0, 0, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 11, 11, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 1, 1, 7, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 7, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 7, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 5, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 0, 2, 1, 0, 1 ]
[ 465, 2322, 203, 465, 2361, 203, 465, 3738, 203, 465, 16539, 203, 10444, 81, 2536, 280, 1404, 203, 10444, 81, 15615, 280, 1404, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 334, 2322, 32, 31015, 463, 11226, 31, 725, 683, 334, 1459, 440, 33193, 5016, 328, 2599, 31, 941, 33367, 32, 3969, 78, 96, 657, 334, 8529, 668, 280, 4247, 334, 436, 3051, 30, 29141, 30, 2276, 328, 2322, 32, 11905, 6824, 7831, 284, 436, 803, 328, 2276, 44, 397, 7116, 280, 3177, 397, 1519, 280, 2322, 32, 983, 32, 2524, 26, 2388, 30, 803, 27, 397, 415, 803, 328, 11246, 81, 2536, 44, 291, 7116, 280, 2933, 397, 436, 343, 328, 11246, 81, 15615, 44, 291, 415, 13637, 474, 343, 474, 13637, 328, 1519, 44, 616, 7116, 280, 2933, 397, 415, 7116, 44, 291, 4036, 397, 415, 803, 610, 330, 10785, 32, 1260, 950, 291, 23818, 280, 2156, 26, 983, 30, 330, 100, 683, 291, 11607, 280, 2361, 32, 12474, 26, 13410, 32, 850, 1157, 291, 23818, 32, 2679, 346, 291, 3345, 81, 13163, 280, 1605, 291, 436, 595, 328, 2155, 26, 34, 30, 2069, 26, 10785, 710, 11893, 7698, 44, 616, 18161, 280, 11607, 710, 11893, 8150, 91, 79, 616, 415, 827, 26, 13163, 27, 328, 3738, 32, 652, 2424, 44, 324, 415, 330, 525, 555, 25, 328, 18161, 44, 1090, 3345, 81, 13163, 32, 1689, 26, 13163, 27, 291, 436, 18161, 328, 3345, 81, 13163, 44, 616, 11607, 710, 11893, 5695, 2546, 26, 13163, 27, 291, 3555, 11607, 710, 1786, 81, 965, 785, 291, 23818, 280, 2156, 3247, 2868, 33, 10785, 32, 1260, 370, 330, 105, 683, 291, 23818, 32, 1821, 26, 1260, 32, 16958, 26, 10785, 30, 10525, 47, 36, 490, 291, 23818, 32, 2679, 346, 397, 813, 44, 291, 8529, 668, 1454, 330, 330, 474, 1519, 334, 16539, 32, 1851, 440, 3925, 11762, 5266, 31, 941, 33367, 32, 3969, 392, 9073, 47, 1815, 27, 334, 16539, 32, 1851, 440, 3969, 429, 100, 11762, 5266, 31, 941, 33367, 32, 3969, 20, 474, 8529, 668, 30, 9073, 47, 1815, 27, 334, 16539, 32, 1851, 440, 3969, 429, 100, 11762, 5266, 31, 941, 33367, 32, 3969, 429, 92, 517, 2868, 33, 10785, 32, 1260, 392, 9073, 47, 1815, 27, 334, 16539, 32, 1851, 440, 3925, 517, 2868, 33, 10785, 32, 1260, 392, 9073, 47, 1815, 27, 334, 1459, 5528, 96, 4167, 1946, 461, 9256, 436, 1169, 322, 27603, 15981, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 7, 7, 7, 7, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 4, 4, 3, 3, 5, 6, 5, 7, 3, 3, 5, 5, 5, 5, 5, 5, 8, 8, 6, 6, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 10, 6, 6, 7, 8, 8, 9, 9, 7, 7, 7, 10, 10, 6, 6, 7, 7, 7, 8, 8, 7, 7, 7, 9, 12, 12, 11, 11, 10, 10, 9, 9, 9, 12, 12, 6, 6, 7, 7, 7, 7, 6, 6, 7, 8, 8, 10, 10, 10, 10, 7, 7, 10, 10, 12, 13, 12, 12, 14, 14, 8, 8, 10, 10, 12, 13, 12, 15, 14, 15, 14, 8, 8, 11, 12, 11, 8, 8, 11, 11, 10, 10, 8, 8, 9, 9, 9, 11, 12, 11, 11, 13, 15, 14, 16, 16, 9, 9, 9, 12, 12, 14, 16, 16, 14, 13, 10, 10, 11, 14, 15, 14, 12, 12, 13, 14, 14, 11, 11, 11, 13, 16, 16, 16, 14, 14, 13, 13, 13, 18, 18, 17, 18, 17, 18, 17, 8, 8, 9, 9, 9, 10, 10, 9, 9, 9, 14, 16, 16, 14, 13, 14, 13, 8, 8, 9, 10, 12, 12, 12, 12, 8, 8, 10, 10, 12, 14, 14, 14, 14, 14, 14, 12, 14, 14, 8, 8, 11, 12, 11, 14, 13, 14, 13, 14, 13, 13, 14, 15, 13, 8, 8, 11, 12, 11, 7, 7, 8, 8, 8, 12, 11, 11, 14, 12, 12, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 5, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 5, 5, 6, 7, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 5, 2, 2, 5, 8, 7, 7, 7, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 3, 3, 0, 0, 0, 3, 3, 3, 1, 1, 1, 1, 3, 3, 0, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 5, 5, 4, 4, 4, 4, 5, 5, 5, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 2, 1, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 0, 3, 3, 4, 4, 4, 1, 1, 1, 1, 1, 0, 1, 1, 2, 4, 4, 4, 0, 0, 0, 1, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 0, 1, 2, 2, 1, 1, 1, 3, 3, 6, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 3, 3, 0, 2, 1, 5, 5, 4, 4, 4, 0, 0, 0, 1, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 3, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 32625, 32, 4266, 1188, 3395, 1191, 203, 1070, 14785, 32, 2958, 32, 605, 32, 19561, 32, 6474, 81, 4882, 32, 17867, 1188, 5890, 81, 17867, 81, 858, 81, 1439, 203, 1070, 14785, 32, 2958, 32, 605, 32, 6474, 81, 4882, 1188, 894, 81, 1439, 203, 1070, 14785, 32, 2958, 32, 605, 32, 4156, 1188, 5890, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 28239, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 823, 41040, 2483, 9395, 8330, 1006, 26, 284, 5890, 81, 17867, 81, 858, 81, 1439, 32, 9395, 8330, 35506, 30, 284, 3395, 1191, 32, 7233, 711, 334, 665, 1968, 81, 5613, 26, 784, 30, 9124, 711, 284, 442, 5890, 81, 4156, 32, 9395, 32, 3585, 26, 35, 34, 34, 547, 31402, 26, 35, 34, 547, 17906, 26, 291, 3112, 81, 891, 47, 35, 34, 30, 9124, 47, 7389, 30, 316, 17906, 81, 5520, 81, 19869, 47, 2700, 27, 334, 477, 20858, 993, 32, 5536, 26, 858, 81, 1439, 32, 1536, 81, 858, 81, 20858, 993, 1157, 334, 665, 894, 2852, 26, 784, 711, 284, 1929, 81, 10931, 280, 225, 35, 34, 34, 284, 630, 32, 1945, 81, 1262, 81, 4882, 26, 5962, 44, 630, 32, 1832, 81, 5613, 26, 35, 34, 471, 1929, 81, 10931, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 334, 894, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 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, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 13, 13, 12, 13, 11, 12, 11, 12, 12, 12, 11, 10, 9, 10, 10, 9, 8, 7, 7, 7, 9, 9, 8, 9, 9, 7, 7, 8, 9, 7, 7, 9, 9, 9, 9, 9, 8, 9, 7, 2, 2, 7, 7, 6, 7, 6, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 3, 3, 4, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 8, 8, 8, 5, 5, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 11, 12, 12, 12, 11, 12, 12, 11, 8, 9, 9, 8, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 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, 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, 1, 2, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 1, 10, 4, 4, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 6, 6, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 3, 2, 2, 9, 9, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 1, 0, 0, 0, 0, 0, 5, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 0, 10, 10, 0, 0, 1, 1, 1, 1, 10, 10, 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, 0, 0, 0, 0, 0 ]
[ 1270, 44, 284, 1188, 316, 36, 619, 316, 203, 7343, 29986, 44, 284, 1188, 316, 203, 1070, 5034, 32, 85, 7194, 604, 32, 2282, 32, 9436, 101, 1188, 19789, 203, 823, 46096, 2429, 81, 4624, 26, 7785, 711, 284, 636, 280, 313, 41190, 2429, 81, 754, 20, 284, 3048, 280, 313, 10710, 3138, 122, 11513, 5726, 1077, 17730, 4577, 44504, 2429, 38643, 14575, 1121, 11346, 9288, 15153, 45635, 45228, 29572, 16002, 40849, 20, 284, 7533, 280, 225, 37, 284, 25017, 280, 225, 37, 284, 12770, 280, 3037, 15467, 283, 81, 3773, 392, 313, 41190, 2429, 1446, 284, 14662, 280, 3037, 61, 37341, 11786, 422, 1446, 284, 9340, 280, 313, 35, 32, 37, 20, 284, 1692, 318, 280, 2933, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 19789, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 27, 284, 2761, 81, 6956, 280, 739, 14141, 7128, 6890, 284, 588, 21851, 8248, 284, 2761, 81, 368, 266, 17060, 280, 739, 14141, 10535, 17597, 13788, 392, 313, 1197, 274, 3206, 81, 4480, 3206, 1031, 6890, 284, 665, 544, 81, 1851, 26, 784, 30, 1476, 30, 2164, 711, 291, 415, 1476, 1365, 1237, 1446, 610, 313, 10535, 14066, 563, 324, 4845, 280, 630, 32, 371, 81, 2669, 26, 1851, 30, 313, 27465, 657, 291, 813, 44, 324, 4845, 280, 630, 32, 371, 81, 2669, 26, 1851, 30, 313, 3206, 657, 291, 415, 316, 32, 1903, 440, 3164, 5272, 106, 11466, 41190, 2429, 40708, 15603, 753, 636, 77, 766, 102, 78, 96, 6603, 47, 40708, 853, 77, 766, 102, 78, 96, 6603, 47, 40708, 15603, 5272, 1473, 41493, 3424, 392, 4845, 30, 316, 32, 1434, 2576, 6755, 3204, 110, 268, 32, 6737, 2320, 711, 324, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 2, 2, 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, 2, 5, 5, 5, 4, 2, 2, 5, 4, 4, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 2, 5, 5, 4, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 2, 5, 5, 5, 4, 4, 4, 5, 4, 5, 6, 4, 5, 6, 3, 3, 3, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 5, 5, 5, 4, 6, 6, 7, 9, 9, 7, 2, 2, 3, 3, 3, 3, 3, 3, 2, 5, 5, 5, 4, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 2, 3, 4, 4, 4, 4, 5, 4, 5, 4, 3, 3, 5, 5, 8, 8, 7, 6, 8, 8, 8, 5, 5, 9, 11, 11, 11, 10, 11, 12, 12, 12, 12, 5, 5, 5, 5, 5, 6, 6, 6, 10, 9, 9, 11, 12, 11, 12, 12, 11, 13, 4, 4, 4, 5, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 9, 9, 9, 9, 9, 9, 10, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 2, 2, 2, 1, 4, 1, 6, 6, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 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, 2, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 2, 4, 0, 0, 2, 1, 1, 1, 1, 2, 3, 1, 2, 5, 1, 8, 8, 8, 0, 0, 2, 2, 1, 1, 1, 5, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 10, 10, 10, 10, 10, 10, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 12, 1, 1, 1, 2, 1, 2, 3, 2, 12, 12, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 4, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 32, 983, 203, 465, 13092, 203, 465, 1869, 459, 32, 6426, 203, 1070, 1869, 459, 32, 8478, 1188, 4395, 81, 5043, 81, 983, 203, 1070, 1869, 459, 32, 1040, 32, 36677, 1188, 2047, 81, 452, 81, 823, 203, 1070, 1869, 459, 32, 2285, 1188, 6577, 203, 1070, 1869, 459, 32, 1040, 32, 1320, 81, 2888, 1188, 2652, 81, 1286, 203, 50, 12408, 32, 1826, 32, 539, 18972, 463, 1163, 370, 330, 3613, 81, 5043, 683, 203, 823, 2108, 4045, 26, 1473, 711, 284, 665, 894, 81, 944, 81, 1320, 26, 784, 711, 291, 1869, 459, 32, 6426, 32, 371, 463, 317, 1190, 683, 284, 665, 894, 81, 1320, 81, 426, 26, 784, 711, 291, 12870, 280, 1869, 459, 32, 6426, 32, 371, 463, 317, 1190, 683, 291, 1201, 12870, 32, 426, 610, 330, 317, 1190, 25, 284, 665, 894, 81, 1320, 81, 3607, 26, 784, 711, 291, 5867, 280, 1869, 459, 32, 6426, 32, 9335, 26, 3613, 81, 5043, 81, 983, 27, 291, 4870, 280, 5867, 32, 3607, 81, 979, 81, 1320, 81, 426, 463, 317, 1190, 683, 291, 1201, 4870, 610, 2322, 32, 983, 32, 2524, 26, 324, 4395, 81, 5043, 81, 983, 30, 324, 330, 5043, 370, 324, 330, 317, 1190, 370, 324, 330, 1320, 32, 978, 25, 291, 829, 284, 665, 894, 81, 3780, 12724, 81, 1320, 81, 3607, 26, 784, 711, 291, 5867, 280, 1869, 459, 32, 6426, 32, 9335, 26, 3613, 81, 5043, 81, 983, 27, 291, 4870, 280, 5867, 32, 3607, 81, 979, 81, 1320, 81, 426, 463, 6060, 31, 3780, 12724, 31, 1320, 683, 291, 1201, 4870, 610, 2322, 32, 983, 32, 2524, 26, 324, 4395, 81, 5043, 81, 983, 30, 324, 330, 5043, 370, 324, 330, 6060, 31, 3780, 12724, 31, 1320, 370, 324, 330, 1320, 32, 978, 25, 291, 829, 284, 665, 894, 81, 1320, 81, 823, 81, 4243, 26, 784, 711, 291, 1201, 330, 27006, 1190, 25, 610, 2047, 81, 452, 81, 823, 463, 317, 1190, 683, 291, 1201, 330, 66, 16397, 7938, 661, 25, 610, 2047, 81, 452, 81, 823, 463, 4911, 771, 81, 6174, 661, 683, 291, 1201, 330, 66, 16397, 7938, 661, 25, 610, 2047, 81, 452, 81, 823, 463, 4911, 771, 31, 6174, 661, 683, 291, 1201, 330, 66, 16397, 6174, 661, 25, 610, 2047, 81, 452, 81, 823, 463, 66, 16397, 7938, 661, 683, 291, 1201, 7610, 37, 1199, 25, 610, 2047, 81, 452, 81, 823, 463, 37, 1199, 683, 284, 665, 894, 81, 1286, 81, 2888, 81, 464, 81, 8786, 81, 698, 81, 2675, 81, 8078, 26, 784, 711, 291, 1374, 35, 280, 6577, 440, 2888, 31, 858, 35, 50, 35, 32, 35, 657, 291, 1374, 36, 280, 6577, 440, 2888, 31, 858, 36, 50, 35, 32, 35, 657, 291, 1374, 35, 32, 468, 4834, 518, 346, 291, 1374, 36, 32, 468, 4834, 518, 346, 291, 1795, 35, 280, 2652, 81, 1286, 26, 2285, 35, 27, 291, 1795, 35, 280, 1795, 35, 32, 3227, 26, 2285, 35, 32, 1320, 3667, 823, 29215, 426, 7642, 9142, 291, 1795, 36, 280, 2652, 81, 1286, 26, 2285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 2, 6, 5, 6, 4, 5, 5, 4, 6, 6, 4, 6, 6, 6, 6, 1, 2, 2, 3, 3, 4, 3, 2, 2, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 10, 9, 10, 8, 9, 8, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 11, 10, 11, 9, 10, 9, 11, 11, 11, 5, 5, 6, 8, 9, 7, 7, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 11, 10, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 5, 5, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 5, 5, 6, 7, 7, 10, 11, 9, 10, 9, 9, 9, 10, 10, 10, 10, 9, 9, 9, 11, 11, 9, 9, 11, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 11, 10, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 5, 5, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 7, 7, 10, 11, 9, 10, 9, 9, 9, 10, 10, 10, 10, 9, 9, 9, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 5, 5, 6, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 5, 5, 6, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 5, 5, 6, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 5, 5, 6, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 9, 8, 9, 9, 9, 8, 5, 5, 9, 8, 9, 9, 9, 8, 5, 5, 8, 7, 7, 9, 9, 9, 10, 10, 9, 5, 5, 8, 7, 7, 10, 9, 10, 9, 13, 13, 12, 13, 11, 12, 12, 11, 11, 9, 5, 5, 8, 7, 7, 9, 9, 9, 10 ]
[ 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 4, 4, 6, 6, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 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, 1070, 14785, 32, 2958, 32, 4156, 1188, 7744, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 32, 39447, 1188, 4302, 203, 589, 4302, 81, 23277, 888, 1196, 81, 3737, 81, 3804, 81, 26690, 3166, 26, 20621, 30, 5247, 30, 309, 30, 310, 711, 334, 415, 646, 6937, 26, 20621, 30, 4302, 32, 5947, 711, 284, 3636, 12678, 440, 7700, 9553, 372, 526, 600, 1980, 432, 827, 13574, 657, 334, 415, 309, 32, 12010, 863, 9553, 32, 12010, 44, 284, 3636, 12678, 26, 291, 313, 28583, 3632, 309, 32, 12010, 1957, 646, 2530, 9553, 9710, 44, 904, 101, 8480, 32, 904, 101, 20, 291, 904, 308, 101, 32, 12010, 30, 9553, 32, 12010, 490, 334, 310, 280, 7744, 81, 4156, 32, 2405, 26, 96, 30, 9553, 32, 12010, 27, 334, 5247, 34, 81, 36, 280, 7744, 81, 4156, 32, 9699, 26, 20621, 32, 3804, 27, 334, 5247, 81, 36, 280, 7744, 81, 4156, 32, 9699, 26, 3804, 27, 334, 5247, 98, 81, 36, 280, 225, 35, 32, 34, 13824, 35, 33, 3804, 34, 81, 36, 474, 310, 33, 3804, 81, 36, 27, 334, 442, 4302, 32, 5947, 26, 397, 2587, 4310, 20621, 32, 881, 33, 3804, 34, 81, 36, 474, 309, 33, 3804, 81, 36, 27, 319, 5247, 98, 81, 36, 30, 397, 5247, 47, 3812, 81, 4156, 32, 8663, 26, 3804, 98, 81, 36, 490, 203, 589, 4302, 81, 23277, 888, 1196, 81, 3737, 81, 3804, 81, 9356, 661, 26, 20621, 30, 5247, 30, 309, 30, 310, 711, 334, 415, 646, 6937, 26, 20621, 30, 4302, 32, 5947, 711, 284, 3636, 12678, 440, 7700, 9553, 372, 526, 600, 1980, 432, 827, 13574, 657, 334, 415, 309, 32, 12010, 863, 9553, 32, 12010, 44, 284, 3636, 12678, 26, 291, 313, 28583, 3632, 309, 32, 12010, 1957, 646, 2530, 9553, 9710, 44, 904, 101, 8480, 32, 904, 101, 20, 291, 904, 308, 101, 32, 12010, 30, 9553, 32, 12010, 490, 334, 310, 280, 7744, 81, 4156, 32, 2405, 26, 96, 30, 9553, 32, 12010, 27, 334, 5247, 34, 81, 36, 280, 7744, 81, 4156, 32, 9699, 26, 20621, 32, 3804, 27, 334, 5247, 81, 36, 280, 7744, 81, 4156, 32, 9699, 26, 3804, 27, 334, 5247, 98, 81, 36, 280, 225, 35, 32, 34, 13824, 35, 33, 3804, 34, 81, 36, 474, 310, 33, 3804, 81, 36, 27, 334, 442, 4302, 32, 5947, 26, 397, 2587, 4310, 20621, 32, 881, 33, 3804, 34, 81, 36, 474, 309, 33, 3804, 81, 36, 27, 319, 5247, 98, 81, 36, 30, 397, 5247, 47, 3812, 81, 4156, 32, 8663, 26, 3804, 98, 81, 36, 474, 5247, 81, 36, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 6, 7, 6, 6, 7, 8, 6, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 6, 4, 4, 5, 6, 3, 3, 3, 5, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 11, 10, 11, 9, 9, 10, 11, 9, 2, 2, 4, 4, 7, 7, 6, 7, 6, 7, 6, 6, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 5, 9, 8, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 6, 2, 2, 3, 5, 6, 5, 5, 5, 6, 12, 11, 12, 10, 11, 11, 11, 11, 9, 9, 10, 11, 11, 11, 8, 7, 7, 8, 8, 8, 5, 5, 5, 6, 9, 9, 9, 8, 9, 8, 9, 9, 9, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 6, 7, 6, 6, 7, 8, 6, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 6, 4, 4, 5, 6, 3, 3, 3, 5, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 11, 10, 11, 9, 9, 10, 11, 9, 2, 2, 4, 4, 7, 7, 6, 7, 6, 7, 6, 6, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 5, 9, 8, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 6, 2, 2, 3, 5, 6, 5, 5, 5, 6, 12, 11, 12, 10, 11, 11, 11, 11, 9, 9, 10, 11, 11, 11, 8, 7, 7, 8, 8, 8, 5, 5, 5, 6, 9, 9, 9, 8, 9, 8, 10, 10, 10, 10, 9, 9, 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 ]
[ 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, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 2, 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, 2, 1, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 4, 4, 6, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 2, 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, 2, 1, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 4, 4, 6, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 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 ]
[ 465, 25630, 203, 1070, 298, 1269, 362, 1356, 32, 1772, 33170, 1188, 617, 203, 823, 16993, 2031, 3728, 44, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 30, 1780, 30, 1123, 30, 1115, 4124, 711, 291, 7511, 81, 2215, 280, 1123, 32, 2215, 32, 2991, 346, 291, 3962, 1525, 81, 761, 280, 1123, 32, 41274, 32, 1809, 974, 463, 978, 2594, 3499, 32, 1843, 1525, 683, 291, 630, 32, 12035, 81, 3242, 280, 25630, 32, 1843, 1525, 32, 5732, 26, 1843, 1525, 81, 761, 27, 291, 5036, 280, 428, 324, 2726, 586, 107, 3291, 513, 370, 264, 30121, 3671, 2448, 33169, 13356, 324, 2726, 30736, 370, 2033, 30121, 40568, 13356, 324, 2726, 30736, 105, 8426, 370, 262, 30121, 40568, 47571, 13356, 324, 2726, 389, 105, 8426, 370, 262, 30121, 13659, 47571, 13356, 324, 2726, 1366, 11191, 370, 262, 30121, 2130, 11240, 13356, 324, 2726, 3798, 370, 2033, 30121, 6243, 13356, 324, 2726, 17668, 593, 1998, 370, 647, 30121, 6243, 6092, 13356, 324, 2726, 4846, 431, 1962, 370, 647, 30121, 4741, 6278, 13356, 324, 2726, 16243, 370, 2033, 30121, 23246, 13356, 324, 2726, 4846, 1028, 2794, 370, 647, 30121, 4741, 19567, 13356, 324, 2726, 1500, 370, 2033, 30121, 5775, 13356, 324, 2726, 10811, 1927, 370, 351, 30121, 2023, 5169, 13356, 324, 2726, 16213, 370, 2033, 30121, 23684, 13356, 324, 2726, 37633, 370, 2033, 30121, 44879, 13356, 324, 2726, 4846, 48858, 25098, 370, 30121, 7579, 48858, 15058, 13356, 324, 2726, 4846, 48858, 35671, 370, 225, 30121, 7579, 48858, 7606, 13356, 324, 2726, 3626, 15009, 370, 225, 30121, 3771, 11281, 13356, 324, 2726, 3626, 25098, 370, 647, 30121, 3771, 15058, 13356, 324, 2726, 3626, 35671, 370, 958, 30121, 3771, 7606, 13356, 324, 2726, 3626, 47398, 370, 261, 30121, 1834, 12102, 4181, 13356, 324, 1481, 291, 1858, 280, 630, 32, 12035, 81, 3242, 32, 371, 81, 3854, 463, 7088, 81, 1274, 683, 291, 9801, 81, 1553, 11430, 280, 2149, 291, 2698, 280, 225, 34, 291, 932, 280, 225, 34, 291, 436, 310, 30, 273, 328, 5036, 44, 324, 1505, 280, 25630, 32, 2140, 1714, 26, 102, 27, 324, 1505, 32, 2245, 346, 324, 1505, 32, 470, 81, 2480, 26, 725, 32, 2215, 32, 10069, 81, 7088, 77, 96, 1130, 324, 9801, 81, 1553, 11430, 77, 96, 79, 280, 1505, 324, 1858, 32, 9959, 26, 1553, 30, 656, 932, 30, 932, 29, 35, 30, 2850, 2698, 30, 2698, 29, 35, 30, 656, 25630, 32, 23365, 523, 25630, 32, 42833, 30, 262, 25630, 32, 23365, 30, 3775, 38, 30, 6797, 38, 27, 324, 415, 932, 610, 225, 35, 44, 400, 932, 280, 225, 34, 400, 2698, 1454, 225, 35, 324, 813, 44, 400, 932, 280, 225, 35, 291, 341, 280, 630, 32, 12035, 81, 3242, 32, 371, 81, 3854, 463, 4898, 81, 1553, 1640, 683, 291, 341, 32, 470, 81, 2480, 26, 725, 32, 2215, 32, 10069, 27, 291, 27390, 280, 2149, 291, 436, 310, 328, 330, 3287, 370, 330, 15741, 950, 324, 665, 3309, 26, 105, 30, 310, 47, 96, 711, 400, 1869, 280, 630, 32, 12035, 81, 3242, 32, 371, 81, 3854, 26, 96, 32142, 12868 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 10, 8, 9, 8, 9, 9, 9, 9, 8, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 10, 8, 8, 12, 12, 12, 12, 7, 7, 10, 10, 8, 8, 12, 12, 7, 7, 10, 10, 10, 10, 8, 8, 12, 12, 12, 7, 7, 10, 10, 10, 10, 8, 8, 12, 12, 12, 7, 7, 10, 10, 10, 8, 8, 12, 12, 12, 7, 7, 10, 10, 8, 8, 12, 12, 7, 7, 10, 10, 10, 10, 8, 8, 12, 12, 12, 7, 7, 10, 10, 10, 10, 8, 8, 12, 12, 12, 7, 7, 10, 10, 8, 8, 12, 12, 7, 7, 10, 10, 10, 10, 8, 8, 12, 12, 12, 7, 7, 10, 10, 8, 8, 12, 12, 7, 7, 10, 10, 10, 8, 8, 12, 12, 12, 7, 7, 10, 10, 8, 8, 12, 12, 7, 7, 10, 10, 8, 8, 12, 12, 7, 7, 10, 10, 10, 10, 8, 12, 12, 12, 12, 7, 7, 10, 10, 10, 10, 8, 8, 12, 12, 12, 12, 7, 7, 10, 10, 10, 8, 8, 12, 12, 12, 7, 7, 10, 10, 10, 8, 8, 12, 12, 12, 7, 7, 10, 10, 10, 8, 8, 12, 12, 12, 7, 7, 10, 10, 10, 8, 8, 12, 12, 12, 12, 7, 7, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 4, 4, 6, 6, 7, 4, 4, 6, 6, 7, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 9, 10, 9, 6, 6, 9, 10, 10, 10, 9, 13, 12, 13, 11, 12, 12, 12, 10, 11, 10, 6, 6, 10, 10, 10, 9, 10, 9, 8, 8, 6, 6, 9, 10, 9, 10, 9, 9, 9, 9, 9, 10, 11, 9, 9, 9, 9, 9, 10, 11, 9, 9, 9, 11, 12, 10, 10, 11, 12, 9, 9, 9, 10, 11, 9, 9, 10, 9, 9, 10, 9, 6, 6, 7, 8, 8, 9, 7, 7, 7, 10, 10, 11, 8, 8, 10, 10, 11, 7, 7, 8, 8, 8, 11, 11, 12, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 10, 9, 10, 8, 9, 7, 4, 4, 6, 6, 4, 4, 5, 5, 5, 8, 8, 6, 8, 8, 5, 5, 7, 8, 9, 8, 8, 9, 10, 8, 7, 7, 10, 10, 13, 14, 14, 14, 12, 13, 13, 13, 12, 14, 13, 15 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 5, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 7, 1, 1, 2, 2, 2, 1, 1, 2, 9, 9, 1, 1, 2, 2, 2, 1, 2, 11, 11, 1, 2, 2, 2, 1, 1, 1, 2, 13, 13, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 15, 1, 1, 2, 2, 2, 1, 2, 17, 17, 1, 2, 2, 2, 1, 1, 1, 2, 19, 19, 1, 1, 2, 2, 2, 1, 2, 21, 21, 1, 2, 2, 2, 1, 1, 2, 23, 23, 1, 1, 2, 2, 2, 1, 2, 25, 25, 1, 2, 2, 2, 1, 2, 27, 27, 1, 2, 2, 2, 1, 1, 1, 2, 29, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 31, 31, 1, 1, 1, 2, 2, 2, 1, 1, 2, 33, 33, 1, 1, 2, 2, 2, 1, 1, 2, 35, 35, 1, 1, 2, 2, 2, 1, 1, 2, 37, 37, 1, 1, 2, 2, 2, 1, 1, 2, 39, 39, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 8, 1, 1, 8, 8, 8, 8, 8, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 5, 5, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 5, 5, 0, 0, 0, 0, 2, 0, 0, 0, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 9, 2, 1, 1, 1, 0, 2, 11, 11, 2, 2, 1, 1, 1, 13, 2, 1, 1, 15, 1, 1, 17, 1, 5, 5, 5, 1, 1, 2, 5, 5, 5, 0, 0, 2, 3, 3, 0, 0, 2, 5, 5, 4, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 0, 4, 4, 12, 12, 12, 1, 2, 3, 1, 2, 12, 12, 0, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 5741, 203, 465, 2322, 203, 465, 316, 203, 465, 22977, 203, 465, 5237, 203, 465, 29590, 203, 465, 27374, 203, 465, 11685, 203, 465, 8529, 761, 203, 1070, 1673, 2304, 1188, 5237, 1163, 203, 1070, 1673, 2304, 32, 1040, 1188, 1539, 81, 2388, 203, 1070, 4096, 32, 3922, 1188, 18334, 2825, 203, 1070, 10773, 1114, 7980, 1188, 12870, 81, 5379, 30, 18792, 203, 1070, 10773, 1114, 7980, 32, 36612, 1188, 1374, 6667, 203, 1070, 10773, 1114, 7980, 32, 36612, 32, 25165, 1188, 32516, 203, 1070, 10773, 1114, 7980, 32, 36612, 32, 15965, 1188, 8073, 18079, 30, 48172, 203, 1070, 10773, 1114, 7980, 32, 36612, 32, 2304, 1188, 21982, 518, 81, 426, 203, 1070, 10773, 1114, 7980, 32, 36612, 32, 1648, 1188, 3036, 30, 3185, 619, 3185, 81, 1648, 203, 1070, 10773, 1114, 7980, 32, 25931, 32, 21332, 1188, 1359, 3922, 203, 465, 10773, 32, 15668, 203, 1070, 10773, 32, 8524, 1188, 7555, 81, 466, 30, 622, 81, 13126, 30, 33846, 3951, 203, 1070, 10773, 32, 4984, 1188, 438, 81, 965, 30, 1984, 81, 452, 81, 983, 30, 1519, 81, 452, 81, 965, 30, 438, 81, 8929, 81, 761, 203, 1070, 10773, 32, 11452, 1188, 308, 284, 14444, 924, 30, 1683, 18871, 924, 30, 203, 27, 203, 1070, 10773, 32, 13471, 1188, 308, 284, 7395, 81, 978, 30, 3974, 81, 8491, 81, 44618, 30, 447, 2027, 81, 6691, 81, 22600, 81, 18829, 30, 7395, 81, 496, 30, 203, 27, 203, 1070, 10773, 32, 2304, 1188, 308, 284, 2503, 81, 983, 30, 540, 41718, 30, 7660, 81, 983, 81, 4658, 30, 12780, 81, 1515, 30, 438, 81, 3789, 444, 81, 1515, 30, 284, 1673, 81, 266, 81, 3707, 659, 30, 1673, 81, 266, 81, 2851, 81, 5043, 30, 38633, 81, 1204, 81, 983, 30, 284, 1476, 81, 27958, 30, 1491, 81, 878, 81, 761, 30, 18883, 974, 30, 617, 2682, 81, 1832, 81, 1515, 30, 7279, 81, 1515, 30, 284, 622, 81, 18132, 81, 1648, 30, 13316, 81, 983, 30, 1673, 81, 297, 81, 1696, 30, 203, 27, 203, 1070, 10773, 32, 2304, 32, 31772, 1188, 9806, 4279, 203, 1070, 10773, 32, 2304, 32, 44136, 1188, 26396, 383, 42197, 35, 34, 5711, 203, 1070, 10773, 32, 2304, 32, 7490, 1188, 10525, 81, 751, 203, 1070, 10773, 32, 2304, 32, 43764, 81, 1832, 1188, 5798, 2418, 31081, 81, 2514, 2331, 203, 1070, 10773, 32, 2304, 32, 1707, 1188, 2156, 81, 20759, 203, 1070, 10773, 32, 2403, 32, 2403, 81, 41758, 1188, 1683, 3789, 1215, 885, 203, 1070, 10773, 32, 37645, 1188, 354, 1729, 203, 1070, 10773, 32, 15668, 1188, 5169, 81, 15668, 81, 2536, 30, 624, 8568, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 18246, 280, 1374, 6667, 32, 31900, 1114, 18246, 32, 3494, 346, 203, 589, 617, 7201, 81, 20915, 26, 983, 711, 284, 345, 280, 316, 32, 2872, 26, 100, 28249, 13157, 29, 2502, 78, 9532, 14747, 3212, 19650, 1130, 37143, 1519, 27, 284, 35948, 280, 1665, 284, 415, 345, 44, 291, 1519, 81, 1347, 81, 20915, 280, 345, 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, 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, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 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, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 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, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 7, 6, 7, 5, 6, 4, 5, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 4, 4, 2, 2, 3, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 10, 10, 0, 10, 10, 0, 0, 11, 11, 0, 1, 2, 11, 11, 0, 0, 0, 12, 12, 1, 2, 12, 12, 0, 0, 13, 13, 1, 2, 13, 13, 0, 0, 13, 13, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 15, 15, 1, 2, 1, 4, 1, 6, 15, 15, 0, 16, 16, 1, 2, 1, 4, 1, 6, 16, 16, 0, 16, 16, 0, 17, 17, 1, 2, 1, 4, 1, 6, 17, 17, 0, 0, 0, 0, 18, 18, 1, 2, 1, 4, 1, 6, 18, 18, 18, 18, 5, 5, 2, 2, 0, 19, 19, 1, 2, 1, 4, 1, 6, 19, 19, 0, 0, 20, 20, 1, 2, 0, 21, 21, 1, 2, 21, 21, 0, 0, 21, 21, 0, 0, 21, 21, 0, 0, 22, 22, 1, 2, 22, 22, 0, 0, 22, 22, 0, 0, 0, 0, 22, 22, 0, 0, 0, 0, 22, 22, 0, 0, 0, 0, 0, 23, 23, 1, 2, 23, 23, 23, 23, 0, 23, 23, 0, 0, 23, 23, 23, 0, 24, 24, 1, 2, 24, 24, 24, 24, 0, 0, 24, 24, 0, 0, 0, 0, 24, 24, 0, 0, 0, 0, 0, 0, 0, 24, 24, 0, 0, 24, 24, 24, 0, 25, 25, 1, 2, 25, 25, 25, 25, 0, 0, 25, 25, 0, 25, 25, 0, 0, 0, 0, 25, 25, 0, 0, 25, 25, 0, 0, 0, 0, 0, 25, 25, 25, 0, 0, 0, 0, 0, 25, 25, 0, 0, 0, 0, 0, 0, 25, 25, 0, 0, 0, 0, 25, 25, 25, 0, 0, 25, 25, 0, 0, 0, 0, 25, 25, 0, 25, 25, 0, 0, 0, 0, 0, 25, 25, 0, 0, 25, 25, 25, 0, 0, 0, 0, 25, 25, 0, 0, 25, 25, 0, 0, 0, 0, 25, 25, 25, 0, 26, 26, 1, 2, 1, 4, 26, 26, 0, 0, 27, 27, 1, 2, 1, 4, 27, 27, 0, 0, 0, 0, 0, 0, 28, 28, 1, 2, 1, 4, 28, 28, 0, 0, 0, 29, 29, 1, 2, 1, 4, 4, 4, 29, 29, 0, 0, 0, 0, 0, 0, 30, 30, 1, 2, 1, 4, 30, 30, 0, 0, 0, 31, 31, 1, 2, 1, 4, 4, 4, 31, 31, 0, 0, 0, 0, 32, 32, 1, 2, 32, 32, 0, 0, 33, 33, 1, 2, 33, 33, 0, 0, 0, 0, 33, 33, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 36, 36, 1, 1, 1, 2, 1, 2, 36, 36, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 4684, 32, 16069, 32, 5836, 1188, 16079, 30, 5799, 13390, 203, 1070, 4684, 32, 16069, 32, 1489, 1188, 9960, 36, 8270, 203, 823, 11489, 6317, 26, 6317, 711, 284, 665, 1156, 1664, 3207, 784, 30, 11213, 47, 2521, 30, 2075, 19704, 711, 291, 2599, 26, 2900, 6317, 30, 630, 14585, 1664, 3207, 12537, 30, 2075, 27, 291, 630, 32, 15416, 280, 1605, 291, 630, 32, 887, 106, 6558, 280, 225, 34, 32, 34, 291, 630, 32, 1632, 2611, 1562, 885, 280, 225, 34, 32, 34, 291, 630, 32, 1632, 10507, 280, 225, 34, 32, 34, 284, 665, 617, 1877, 8071, 26, 784, 711, 291, 2599, 26, 2900, 6317, 30, 630, 42690, 1877, 8071, 346, 291, 630, 32, 106, 3804, 280, 225, 35, 517, 308, 784, 32, 106, 3585, 474, 225, 35, 32, 34, 27, 284, 665, 617, 1877, 6317, 26, 784, 711, 291, 15321, 280, 630, 1114, 11576, 2021, 3354, 346, 291, 40440, 106, 280, 5799, 13390, 26, 26231, 27, 291, 415, 2069, 26, 30623, 106, 27, 610, 225, 35, 44, 324, 630, 32, 887, 106, 6558, 280, 225, 35, 32, 34, 291, 813, 44, 324, 630, 32, 887, 106, 6558, 280, 1847, 2009, 3596, 26, 30623, 106, 77, 92, 79, 429, 40440, 106, 77, 92, 429, 225, 35, 1130, 6619, 436, 594, 328, 2155, 26, 35, 30, 2069, 26, 30623, 106, 490, 1130, 291, 831, 280, 630, 32, 887, 106, 6558, 319, 630, 32, 106, 3804, 291, 5697, 2611, 280, 831, 319, 630, 32, 2184, 32, 1632, 2611, 7894, 20709, 291, 630, 32, 1632, 2611, 1562, 885, 280, 5697, 2611, 517, 2069, 26, 26231, 27, 291, 630, 32, 1632, 10507, 280, 831, 319, 308, 35, 32, 34, 429, 630, 32, 2184, 32, 1632, 2611, 7894, 20709, 27, 517, 225, 36, 291, 630, 32, 15416, 280, 1605, 284, 665, 617, 3169, 6317, 26, 784, 30, 15759, 711, 291, 665, 5171, 2900, 26, 1632, 711, 324, 10076, 81, 1644, 280, 630, 32, 2184, 32, 12155, 32, 1644, 324, 1044, 106, 30, 1044, 107, 280, 15759, 32, 2929, 81, 452, 81, 496, 81, 8018, 26, 12155, 81, 1644, 30, 10076, 81, 1644, 27, 324, 415, 1044, 106, 333, 1044, 107, 44, 400, 1044, 106, 280, 1044, 107, 324, 15759, 32, 470, 81, 928, 81, 1644, 26, 1662, 27, 324, 816, 280, 630, 32, 3768, 32, 106, 474, 630, 32, 3768, 32, 105, 319, 5697, 32, 106, 324, 533, 280, 630, 32, 3768, 32, 107, 474, 630, 32, 3768, 32, 90, 319, 5697, 32, 107, 324, 341, 280, 630, 32, 3768, 32, 105, 319, 5697, 32, 105, 324, 420, 280, 630, 32, 3768, 32, 90, 319, 5697, 32, 90, 324, 415, 341, 333, 225, 35, 556, 420, 333, 225, 35, 44, 400, 442, 4288, 415, 630, 32, 2184, 32, 12155, 32, 7213, 44, 400, 15759, 32, 470, 81, 1855, 81, 13885, 26, 34, 30, 225, 34, 30, 225, 34, 30, 225, 34, 32, 35, 39, 27, 400, 19345, 280, 630, 1114, 371, 10053, 12955, 26, 106, 30, 533, 30, 341, 30, 420, 27, 400, 15759, 32, 23836, 2740, 23836, 27, 400, 15759, 32, 4157 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 7, 7, 11, 10, 11, 11, 9, 9, 10, 10, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 9, 8, 4, 4, 5, 8, 9, 9, 8, 6, 6, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 9, 5, 5, 6, 6, 6, 10, 11, 11, 11, 9, 9, 11, 14, 14, 17, 17, 16, 17, 16, 15, 15, 17, 16, 18, 17, 17, 18, 16, 12, 12, 13, 13, 13, 15, 16, 15, 15, 17, 18, 18, 17, 12, 4, 4, 6, 6, 8, 9, 9, 9, 7, 7, 8, 9, 9, 4, 4, 7, 6, 6, 7, 7, 9, 10, 8, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 7, 7, 9, 10, 9, 4, 4, 7, 8, 8, 6, 6, 8, 8, 11, 11, 11, 10, 10, 12, 13, 11, 12, 12, 12, 12, 9, 7, 7, 8, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 6, 5, 5, 9, 9, 8, 8, 11, 12, 10, 11, 9, 10, 6, 6, 10, 9, 9, 10, 8, 8, 10, 11, 11, 11, 11, 11, 11, 11, 10, 11, 11, 11, 10, 10, 11, 11, 10, 6, 6, 7, 9, 8, 8, 9, 7, 7, 7, 11, 10, 10, 11, 6, 6, 9, 10, 10, 10, 10, 10, 9, 10, 9, 6, 6, 8, 8, 11, 12, 10, 11, 9, 9, 12, 13, 11, 12, 10, 10, 11, 12, 6, 6, 8, 8, 11, 12, 10, 11, 9, 9, 12, 13, 11, 12, 10, 10, 11, 12, 6, 6, 8, 8, 11, 12, 10, 11, 9, 9, 10, 11, 6, 6, 8, 8, 11, 12, 10, 11, 9, 9, 10, 11, 6, 6, 7, 9, 9, 10, 8, 8, 9, 9, 10, 7, 7, 7, 6, 6, 7, 10, 11, 9, 10, 8, 9, 7, 7, 7, 11, 12, 12, 12, 12, 12, 11, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 12, 12, 12, 11, 8, 8, 10, 10, 12, 13, 13, 13, 12, 13, 12, 12, 12, 12, 12, 12, 12, 8, 8, 11, 12, 11, 13, 11, 8, 8, 11, 12 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 4, 4, 8, 0, 0, 2, 1, 1, 2, 2, 2, 8, 8, 8, 4, 4, 9, 0, 2, 0, 2, 1, 2, 9, 9, 9, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 7, 7, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 2 ]
[ 9592, 66, 2358, 438, 312, 4865, 2297, 436, 1869, 812, 1223, 2838, 9264, 461, 42254, 203, 41835, 6924, 32, 447, 2358, 883, 526, 1654, 436, 4336, 1741, 18978, 9264, 203, 21886, 619, 14949, 30, 32908, 30, 44566, 30, 25695, 1299, 30, 5774, 32, 2030, 883, 526, 1654, 372, 312, 46953, 4705, 203, 8121, 436, 343, 5519, 1741, 2932, 2652, 2443, 993, 544, 3449, 13602, 32, 2030, 203, 3374, 526, 1654, 436, 24305, 2932, 6325, 32, 447, 2358, 438, 328, 322, 44214, 432, 12029, 203, 6508, 307, 25, 9177, 30, 1273, 447, 2358, 438, 12463, 4865, 32, 7859, 9177, 31, 6228, 7896, 436, 4865, 203, 1981, 35110, 461, 9177, 556, 1205, 390, 11581, 372, 526, 13831, 32, 447, 2358, 1957, 646, 203, 539, 390, 30, 9177, 30, 556, 35110, 11581, 32, 2030, 1395, 1389, 544, 1346, 5624, 688, 9567, 203, 1382, 6216, 4865, 298, 618, 2297, 32, 886, 447, 2358, 2568, 35167, 7668, 544, 12935, 432, 793, 1259, 203, 6939, 4281, 8253, 884, 8792, 32, 203, 8309, 884, 3134, 2575, 14091, 372, 322, 447, 2358, 2664, 45, 3282, 884, 322, 667, 30, 203, 1945, 346, 461, 322, 443, 30, 16611, 32, 886, 16611, 443, 438, 1829, 27196, 32, 886, 1420, 346, 203, 1126, 438, 29952, 2784, 16611, 30, 461, 438, 4644, 436, 16915, 8276, 3460, 32, 5076, 203, 9619, 1476, 322, 1420, 346, 667, 561, 28329, 312, 2702, 3460, 461, 1615, 3217, 322, 203, 2024, 32, 1348, 438, 312, 41529, 15909, 436, 2322, 32, 2946, 922, 203, 1562, 2280, 403, 284, 298, 2358, 32, 1945, 463, 3246, 429, 3075, 683, 203, 1318, 16611, 443, 438, 322, 1829, 27196, 2568, 372, 322, 447, 2358, 2664, 32, 2448, 883, 203, 539, 458, 372, 16611, 312, 2838, 3460, 1615, 17504, 623, 561, 810, 11926, 1509, 461, 203, 2358, 299, 14812, 308, 21110, 436, 15103, 328, 322, 2838, 1182, 1688, 547, 203, 1562, 2280, 403, 284, 2838, 280, 298, 2358, 32, 15697, 463, 23593, 9214, 1256, 50, 2763, 32, 508, 44, 11834, 284, 2838, 32, 2358, 463, 4049, 28601, 284, 2838, 32, 2714, 928, 26, 1772, 2895, 27, 203, 2272, 4847, 4444, 436, 6350, 688, 7660, 436, 32444, 556, 1604, 1509, 11127, 432, 203, 1382, 4302, 1230, 716, 18393, 32, 2616, 2280, 30, 14949, 14822, 1509, 7029, 645, 322, 394, 1710, 203, 2929, 1510, 810, 32373, 24621, 32, 203, 42239, 44, 3139, 2371, 5022, 305, 8837, 30, 39042, 27019, 272, 30, 8359, 331, 41882, 2472, 91, 30, 45544, 690, 8332, 34630, 1058, 2251, 30, 203, 19341, 581, 1258, 658, 30, 677, 502, 2278, 7645, 872, 342, 30, 1884, 339, 10451, 290, 14900, 30, 18080, 1226, 8959, 17423, 19136, 30, 475, 789, 1224, 476, 1170, 30, 439, 3210, 203, 104, 19173, 41882, 272, 30, 7187, 24729, 394, 12173, 30, 3139, 342, 394, 38478, 30, 489, 18658, 302, 475, 32, 390, 307, 282, 30, 21211, 19173, 570, 3131, 266, 30, 203, 60, 329, 11266, 31, 55, 5690, 26227, 551, 14004, 644, 106, 30, 7187, 1719, 14852, 8359, 8955, 30, 48633, 4035, 27206, 331, 30, 570, 1657, 488, 360, 910, 30, 203, 61, 15810, 1546, 570, 31625, 43809, 30, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5741, 203, 465, 6436, 619, 2065, 203, 465, 18414, 619, 1869, 203, 465, 12643, 619, 6121, 203, 1070, 18414, 1188, 8616, 203, 465, 3619, 4785, 203, 465, 1133, 203, 465, 8117, 94, 2840, 32, 27527, 619, 8117, 94, 2840, 203, 465, 8117, 94, 2840, 32, 1040, 32, 1040, 619, 4527, 225, 203, 1070, 8117, 94, 2840, 32, 978, 46589, 32, 4636, 1001, 820, 32, 23342, 1188, 46942, 203, 1070, 8117, 94, 2840, 32, 1040, 32, 24088, 81, 716, 1188, 2454, 30, 4131, 203, 1070, 8117, 94, 2840, 32, 1040, 32, 1040, 1188, 1638, 22170, 81, 1873, 203, 823, 35155, 3582, 36898, 23399, 1512, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 21749, 81, 4243, 30, 10193, 47, 1815, 30, 3995, 81, 1293, 47, 2521, 711, 291, 630, 32, 9918, 81, 4243, 280, 2065, 32, 955, 26, 9918, 81, 4243, 27, 291, 630, 32, 5665, 81, 9918, 81, 4243, 280, 1149, 26, 470, 26, 9918, 81, 4243, 490, 291, 630, 32, 5665, 81, 9918, 81, 4243, 32, 3323, 346, 291, 1201, 2069, 26, 784, 32, 5665, 81, 9918, 81, 4243, 27, 848, 225, 35, 291, 630, 32, 96, 280, 2069, 26, 784, 32, 9918, 81, 4243, 27, 291, 630, 32, 96, 81, 8673, 101, 280, 2069, 26, 784, 32, 5665, 81, 9918, 81, 4243, 27, 291, 630, 32, 7711, 280, 10193, 291, 630, 32, 29917, 280, 2065, 32, 16251, 26, 784, 32, 96, 27, 284, 665, 1156, 1731, 3207, 784, 711, 291, 415, 630, 32, 7711, 44, 324, 4842, 280, 2065, 32, 16251, 26, 784, 32, 96, 27, 291, 436, 21749, 81, 426, 328, 630, 32, 5665, 81, 9918, 81, 4243, 44, 324, 894, 81, 1055, 280, 630, 32, 9918, 81, 4243, 610, 21749, 81, 426, 324, 5683, 81, 1055, 280, 2065, 32, 11081, 81, 1206, 26, 858, 81, 1055, 27, 324, 415, 630, 32, 7711, 44, 400, 5683, 81, 1055, 280, 4842, 77, 3239, 81, 1055, 79, 400, 894, 81, 1055, 280, 4842, 77, 858, 81, 1055, 79, 324, 6761, 5683, 81, 1055, 30, 894, 81, 1055, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 6611, 101, 15231, 101, 26, 96, 6132, 91, 30, 310, 81, 8673, 101, 6132, 91, 9905, 904, 308, 324, 630, 3667, 823, 29215, 1647, 7642, 324, 630, 3667, 823, 29215, 426, 7642, 324, 630, 32, 96, 30, 324, 630, 32, 96, 81, 8673, 101, 30, 291, 829, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 630, 32, 96, 81, 8673, 101, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 4, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 4, 4, 3, 4, 3, 4, 2, 2, 0, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 10, 10, 11, 11, 11, 10, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 5, 8, 10, 9, 10, 10, 10, 10, 10, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 8, 8, 10, 11, 10, 12, 11, 12, 10, 4, 4, 5, 6, 6, 5, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 9, 9, 10, 10, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 11, 11, 11, 10, 6, 6, 7, 8, 9, 7, 7, 7, 11, 11, 10, 10, 11, 12, 12, 12, 11, 8, 8, 11, 11, 10, 10, 11, 12, 12, 12, 11, 6, 6, 8, 10, 10, 9, 9, 10, 10, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 9, 10, 10, 9, 9, 7, 7, 9, 10, 10, 9, 9, 7, 7, 8, 9, 7, 7, 7, 8, 9, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 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 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 1, 1, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 0, 0, 0, 2, 1, 1, 2, 2, 0, 8, 8, 0, 0, 0, 2, 0, 4, 1, 1, 0, 0, 9, 9, 0, 0, 1, 2, 2, 1, 4, 4, 4, 1, 6, 9, 9, 0, 10, 10, 0, 0, 1, 2, 1, 4, 4, 4, 10, 10, 10, 10, 0, 11, 11, 0, 0, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 2, 0, 0, 7, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 1, 4, 4, 3, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 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 ]
[ 1070, 3619, 5804, 32, 3855, 1188, 9500, 16218, 30, 48161, 68, 7483, 203, 1070, 3619, 5804, 32, 14402, 1188, 319, 203, 1070, 3619, 5804, 32, 16780, 1188, 622, 81, 1423, 81, 1132, 30, 16332, 30, 15601, 2900, 30, 3219, 81, 7490, 30, 17666, 81, 3607, 203, 465, 12500, 32, 17449, 619, 5743, 203, 465, 6436, 619, 2065, 203, 3264, 1043, 3533, 280, 225, 34, 32, 34, 35, 203, 1003, 3533, 280, 3649, 1043, 3533, 203, 5522, 26, 1003, 2997, 47, 1003, 3533, 30, 1847, 81, 7843, 47, 34, 32, 39, 27, 203, 83, 280, 225, 34, 32, 34, 36, 203, 84, 280, 429, 34, 32, 35, 203, 85, 280, 429, 39, 39, 32, 34, 203, 86, 280, 225, 40, 32, 34, 203, 59, 280, 225, 34, 203, 104, 81, 1664, 280, 429, 41, 34, 203, 103, 81, 1664, 280, 323, 319, 354, 81, 1664, 203, 941, 22440, 3675, 280, 225, 202, 109, 355, 202, 25, 83, 950, 202, 83, 30, 31452, 202, 25, 84, 950, 202, 84, 30, 4222, 355, 202, 25, 85, 950, 202, 85, 30, 31452, 202, 5438, 950, 202, 86, 30, 355, 202, 25, 91, 81, 2881, 950, 225, 202, 59, 355, 202, 111, 203, 4332, 3354, 280, 5053, 103, 950, 1044, 81, 1664, 30, 330, 104, 950, 354, 81, 1664, 111, 203, 3376, 81, 681, 280, 439, 24160, 479, 104, 1190, 14605, 941, 22440, 3675, 27, 203, 941, 22440, 280, 1487, 26, 3376, 81, 681, 27, 203, 941, 22440, 32, 8788, 14605, 4332, 3354, 27, 203, 941, 22440, 32, 4133, 463, 104, 683, 203, 2999, 9695, 280, 2065, 32, 9880, 26, 34, 27, 203, 2999, 24934, 101, 280, 2065, 32, 9880, 26, 34, 27, 203, 5571, 280, 2065, 32, 24356, 26, 34, 32, 34, 30, 225, 37, 34, 32, 34, 30, 629, 26, 35, 474, 308, 37, 34, 32, 34, 429, 225, 34, 32, 34, 27, 517, 1133, 3533, 490, 203, 757, 101, 280, 2065, 32, 24356, 26, 34, 32, 34, 30, 225, 34, 32, 34, 30, 629, 26, 35, 474, 308, 37, 34, 32, 34, 429, 225, 34, 32, 34, 27, 517, 1133, 3533, 490, 203, 2999, 9695, 280, 2065, 32, 1689, 26, 2999, 9695, 30, 6496, 27, 203, 2999, 24934, 101, 280, 2065, 32, 1689, 26, 2999, 24934, 101, 30, 17501, 101, 27, 203, 5571, 280, 2065, 32, 24356, 26, 37, 34, 474, 1133, 3533, 30, 225, 37, 34, 34, 30, 629, 1162, 37, 34, 34, 429, 225, 37, 34, 27, 517, 1133, 3533, 490, 203, 757, 101, 280, 2065, 32, 24356, 26, 34, 32, 34, 41, 39, 319, 1133, 3533, 30, 225, 34, 32, 34, 41, 39, 319, 308, 37, 34, 34, 429, 225, 37, 34, 471, 629, 1162, 37, 34, 34, 429, 225, 37, 34, 27, 517, 1133, 3533, 490, 203, 2999, 9695, 280, 2065, 32, 1689, 26, 2999, 9695, 30, 6496, 27, 203, 2999, 24934, 101, 280, 2065, 32, 1689, 26, 2999, 24934, 101, 30, 17501, 101, 27, 203, 10281, 318, 3059, 280, 11533, 3059, 2028, 26, 5571, 47, 2999, 9695, 30, 38111, 101, 47, 2999, 24934, 101, 27, 203, 10281, 318, 3059 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 2, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 5, 5, 4, 5, 5, 3, 3, 5, 5, 4, 5, 5, 5, 3, 0, 3, 2, 2, 3, 3, 3, 3, 0, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 4, 4, 0, 3, 3, 3, 2, 2, 2, 3, 3, 3, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 4, 5, 3, 3, 3, 3, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 0, 3, 3, 2, 2, 6, 6, 4, 5, 5, 3, 3, 6, 6, 4, 5, 5, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 4, 4, 3, 4, 3, 5, 5, 3, 0, 4, 4, 3, 4, 3, 5, 5, 0, 3, 3, 2, 2, 4, 5, 4, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 4, 0, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 6, 8, 7, 7, 11, 11, 11, 11, 10, 10, 11, 11, 11, 9, 8, 8, 9, 6, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4, 4, 6, 8, 7, 7, 11, 11, 11, 11, 10, 10, 11, 11, 11, 9, 8, 8, 9, 6, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 0, 3, 2, 2, 4, 5, 4, 6, 6, 5, 5, 6, 4, 4, 5, 5, 5, 4, 4, 6, 10, 10, 10, 9, 9, 10, 10, 8, 7, 7, 8, 6, 0, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 5, 5, 6, 4, 4, 6, 6, 6, 6, 6, 5, 5, 8, 8, 8, 7, 7, 8, 8, 6, 4, 6, 10, 10, 10, 9, 9, 10, 10, 8, 7, 7, 8, 6, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 4, 5, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 6, 5, 6, 6, 4, 4, 6, 5, 6, 6, 6, 4, 0, 4, 4, 4 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 2, 1, 1, 0, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 3, 2, 2, 2, 2, 2, 0, 1, 2, 5, 2, 2, 2, 2, 0, 2, 7, 2, 2, 2, 2, 0, 1, 1, 1, 2, 9, 9, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 3, 2, 2, 2, 1, 0, 0, 0, 0 ]
[ 465, 5237, 203, 465, 6436, 619, 2065, 203, 465, 6677, 36, 203, 1070, 12500, 1188, 3619, 3399, 619, 5743, 203, 1070, 712, 5252, 1188, 319, 203, 4750, 35, 280, 225, 35, 34, 203, 41425, 1392, 280, 3177, 203, 25486, 280, 225, 35, 34, 34, 203, 35841, 280, 225, 36, 34, 34, 203, 40397, 280, 225, 37, 43, 34, 34, 203, 39976, 280, 225, 36, 40, 34, 34, 203, 589, 11909, 1658, 26, 1275, 30, 34489, 30, 533, 91, 30, 816, 87, 30, 41479, 30, 3960, 4311, 280, 3177, 8063, 284, 4791, 280, 4791, 77, 13986, 44, 7822, 30, 34489, 44, 2635, 79, 284, 415, 3960, 4311, 610, 2933, 44, 291, 2519, 9840, 26, 4791, 829, 284, 442, 4791, 203, 589, 2866, 8718, 383, 9840, 26, 4791, 30, 4121, 6834, 35, 30, 963, 6777, 30, 4121, 6834, 36, 280, 1665, 30, 15173, 280, 1665, 8063, 284, 1929, 35, 280, 225, 34, 284, 1963, 35, 280, 308, 34, 30, 34, 30, 36, 39, 39, 27, 284, 2357, 280, 6677, 36, 32, 5918, 81, 3184, 27951, 75, 81, 22537, 15156, 284, 436, 2260, 328, 4121, 6834, 35, 44, 291, 2260, 280, 8825, 26, 1493, 27, 291, 6677, 36, 32, 524, 1031, 26, 1275, 30, 596, 26, 1516, 35, 471, 1493, 30, 2357, 30, 225, 37, 30, 1489, 35, 30, 36, 829, 291, 1929, 35, 1454, 225, 35, 284, 415, 4121, 6834, 36, 44, 291, 3401, 280, 2065, 32, 955, 2009, 35, 39, 34, 30, 225, 34, 1130, 291, 1929, 36, 280, 225, 34, 291, 1963, 36, 280, 308, 36, 39, 39, 30, 225, 34, 30, 225, 34, 27, 291, 436, 2260, 36, 328, 4121, 6834, 36, 44, 324, 2260, 36, 280, 2260, 36, 474, 3401, 324, 2260, 36, 280, 8825, 26, 1493, 36, 27, 324, 6677, 36, 32, 524, 1031, 26, 1275, 30, 596, 26, 1516, 36, 471, 1493, 36, 30, 2357, 30, 225, 36, 30, 1489, 36, 30, 36, 829, 324, 1929, 36, 1454, 225, 35, 284, 415, 15173, 44, 291, 4791, 280, 6677, 36, 32, 8510, 26, 1275, 30, 1665, 30, 20670, 280, 15173, 30, 40331, 280, 15173, 30, 23334, 280, 6677, 36, 32, 5451, 81, 53, 2436, 1102, 27, 284, 6677, 36, 32, 449, 1821, 26, 963, 6777, 30, 4791, 829, 284, 442, 4791, 203, 589, 2866, 9840, 26, 4791, 30, 11216, 8063, 284, 6677, 36, 32, 449, 1821, 26, 11216, 30, 4791, 829, 203, 589, 2519, 9840, 26, 4791, 8063, 284, 6677, 36, 32, 23026, 26, 330, 893, 370, 4791, 829, 284, 6677, 36, 32, 1684, 953, 26, 34, 27, 284, 6677, 36, 32, 6976, 1934, 2839, 346, 203, 589, 622, 21012, 26, 20272, 9840, 8063, 284, 5743, 32, 15002, 26, 20272, 9840, 32, 38665, 1026, 225, 36, 39, 40, 19014, 34, 30, 36, 39, 40, 1130, 284, 5743, 32, 2245, 346, 203, 589, 622, 21219, 9840, 26, 4791, 30, 1963, 280, 313, 89, 20, 8063, 284, 20272, 280, 1665, 284, 323, 30, 89, 30, 100, 280, 6677, 36, 32, 2998, 26, 4791, 829, 284, 415, 1963, 610, 313, 89, 563, 291, 20272, 280, 485, 284, 4348, 1963, 610, 313, 84 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 0, 1, 1, 1, 1, 4, 2, 2, 0, 1, 1, 3, 1, 1, 0, 3, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 0, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 3, 3, 3, 3, 0, 3, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 4, 3, 3, 2, 1, 1, 4, 4, 5, 7, 6, 7, 5, 5, 6, 7, 5, 2, 2, 3, 5, 4, 4, 3, 3, 3, 7, 7, 7, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 4, 4, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 5, 2, 2, 5, 4, 4, 6, 5, 6, 5, 6, 6, 6, 5, 2, 2, 4, 4, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 8, 7, 8, 8, 7, 8, 7, 7, 9, 10, 10, 9, 8, 7, 7, 7, 7, 8, 7, 8, 8, 7, 8, 7, 4, 4, 7, 6, 6, 7, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 9, 9, 10, 9, 4, 4, 7, 6, 6, 7, 4, 4, 7, 6, 6, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 5, 6, 5, 5, 6, 6, 5, 5, 5, 9, 8, 8, 10, 9, 9, 6, 6, 9, 8, 8, 10, 11, 11, 10, 6, 6, 10, 9, 10, 10, 9, 10, 9, 9, 11, 12, 12, 11, 10, 10, 9, 9, 9, 9, 10, 9, 10, 10, 9, 10, 9, 6, 6, 9, 8, 8, 9, 2, 2, 3, 3, 3, 3, 6, 6, 9, 8, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 11, 10, 11, 11, 11, 11, 11, 8, 2, 2, 6, 5, 6, 6, 5, 5, 6, 5, 5, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 6, 5, 6, 6, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 6, 5, 6, 5, 5, 7, 7, 5, 5, 2, 2, 6, 5, 6, 6, 5, 6, 5, 2, 2, 6, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 5, 8, 7, 8, 7, 5, 6, 6, 6, 5, 7, 6, 7, 7, 7, 6, 2, 2, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 2, 1, 1, 4, 4, 2, 2, 5, 6, 5, 6, 4, 4, 7, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 6, 6, 3, 3, 6, 6, 3, 3, 4, 5, 5, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 11, 11, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 7, 2, 2, 2, 2, 0, 11, 11, 2, 11, 11, 0, 0, 2, 0, 2, 2, 2, 2, 4, 2, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 4, 4, 2, 0, 12, 12, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 5, 2, 2, 0, 0, 7, 7, 2, 2, 9, 9, 2, 12, 12, 0, 0, 0, 2, 4, 4, 0, 0, 0, 1, 2, 3, 2, 5, 5, 5, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 5, 5, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 9, 1, 11, 11, 1, 13, 1, 5, 5, 0, 0, 0, 2, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 2, 3, 3, 0, 0, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 5, 5, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 9, 1, 11, 11, 1, 13, 1, 5, 5, 0, 0, 0, 2, 4, 4, 5, 5, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 9, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 7, 0, 13, 13, 1, 2, 2, 2, 2, 2, 13, 13, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 14, 14, 1, 2, 2, 2, 14, 14, 0, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 15, 15, 1, 2, 2, 1, 2, 15, 15, 0, 2, 1, 1, 0, 0, 2, 1, 1, 3, 3, 3, 1, 1, 5, 3, 3, 3, 5, 4, 4, 0, 2, 1, 0, 16, 16, 1, 1, 2, 2, 2, 2, 3, 3, 1, 2, 2, 16, 16, 0, 0, 4, 4, 0, 2, 0, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 4, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 5741, 203, 465, 7138, 619, 8793, 203, 1070, 298, 2209, 6634, 32, 4275, 1188, 30095, 953, 924, 203, 1070, 46226, 431, 95, 1188, 1910, 203, 1070, 46226, 431, 95, 32, 4219, 32, 1439, 1188, 3891, 7530, 984, 203, 1070, 8361, 32, 17022, 1188, 3500, 203, 1070, 8361, 32, 12445, 1188, 5063, 81, 1637, 203, 1070, 8361, 32, 16242, 32, 1819, 1188, 394, 12171, 4316, 203, 1070, 10105, 1188, 8745, 619, 10105, 81, 2304, 203, 1070, 9575, 32, 725, 1188, 3219, 81, 725, 203, 1070, 9575, 32, 2250, 32, 1160, 1188, 4004, 1335, 203, 1070, 9575, 32, 23403, 32, 500, 88, 4219, 1188, 1542, 203, 1070, 9575, 32, 23403, 32, 500, 88, 4219, 1188, 9876, 286, 3246, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 3602, 81, 8750, 69, 280, 428, 284, 330, 500, 88, 81, 4219, 81, 761, 81, 11043, 370, 284, 330, 500, 88, 81, 4219, 81, 761, 81, 6368, 370, 284, 330, 500, 88, 81, 4219, 81, 761, 81, 17577, 370, 284, 330, 500, 88, 81, 4219, 81, 761, 81, 11243, 86, 370, 284, 330, 761, 81, 11043, 370, 284, 330, 761, 81, 6368, 370, 284, 330, 761, 81, 17577, 370, 284, 330, 761, 81, 11243, 86, 370, 203, 79, 203, 589, 22646, 81, 4984, 81, 10410, 26, 1251, 30, 5713, 30, 32609, 47, 1815, 711, 284, 4491, 280, 3500, 710, 1637, 28511, 785, 284, 7775, 280, 1605, 284, 436, 3610, 81, 983, 30, 537, 328, 5713, 32, 3028, 2262, 291, 415, 32609, 44, 324, 537, 81, 314, 280, 14589, 2473, 2524, 4901, 4984, 370, 1541, 1114, 314, 30, 330, 890, 81, 314, 3490, 324, 3610, 81, 314, 280, 14589, 2473, 2524, 4901, 4984, 370, 1541, 1114, 314, 30, 3610, 81, 983, 1130, 291, 813, 44, 324, 537, 81, 314, 280, 14589, 2473, 2524, 4901, 4984, 370, 1541, 1114, 314, 30, 537, 1114, 314, 1130, 324, 3610, 81, 314, 280, 14589, 2473, 2524, 4901, 4984, 370, 1541, 1114, 314, 30, 3610, 81, 983, 1130, 291, 1056, 280, 4491, 32, 1809, 81, 658, 14178, 81, 314, 950, 5063, 81, 1637, 26, 1455, 81, 314, 25952, 291, 415, 646, 1056, 44, 324, 4036, 291, 4082, 32, 1338, 463, 4001, 299, 5822, 15172, 432, 15466, 100, 111, 372, 15466, 100, 16805, 1643, 26, 1455, 81, 983, 30, 537, 490, 291, 415, 646, 32609, 44, 324, 1056, 26033, 314, 785, 280, 537, 81, 314, 324, 7775, 32, 1689, 26, 1267, 27, 291, 813, 44, 324, 4036, 291, 436, 5417, 328, 2155, 26, 1657, 26, 890, 32, 9561, 8531, 324, 1056, 280, 4491, 32, 1809, 81, 658, 14178, 81, 314, 950, 5063, 81, 1637, 44805, 19189, 2473, 1643, 26, 1455, 81, 314, 30, 5417, 474, 225, 35, 490, 1748, 324, 415, 646, 1056, 44, 400, 4036, 324, 4082, 32, 1338, 463, 4001, 299, 5822, 2385, 432, 1503, 2149, 432, 15466, 100, 111, 372, 1503, 2149, 432, 15466, 100, 16805, 1643, 26, 2875, 474, 225, 35, 30, 3610, 81, 983, 30, 5417, 30, 537, 490, 324, 415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 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, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 4, 4, 5, 7, 7, 7, 2, 2, 4, 4, 2, 2, 3, 5, 5, 4, 4, 3, 3, 5, 6, 5, 3, 3, 5, 5, 5, 5, 9, 9, 8, 8, 12, 11, 10, 13, 13, 11, 12, 13, 11, 11, 13, 13, 13, 13, 6, 6, 9, 9, 8, 8, 12, 11, 10, 13, 13, 11, 12, 13, 11, 11, 12, 12, 11, 5, 5, 6, 6, 6, 10, 10, 9, 9, 13, 12, 11, 14, 14, 12, 13, 14, 12, 12, 13, 14, 12, 7, 7, 10, 10, 9, 9, 13, 12, 11, 14, 14, 12, 13, 14, 12, 12, 13, 13, 12, 4, 4, 6, 6, 8, 9, 9, 9, 8, 12, 12, 12, 10, 12, 12, 12, 13, 13, 13, 12, 4, 4, 5, 6, 5, 5, 5, 4, 4, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 10, 10, 9, 9, 9, 4, 4, 5, 6, 5, 5, 5, 9, 11, 11, 8, 8, 9, 9, 6, 6, 9, 10, 9, 10, 9, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 7, 9, 9, 11, 10, 11, 9, 5, 5, 8, 8, 10, 11, 11, 11, 10, 14, 14, 14, 12, 14, 14, 14, 18, 18, 17, 16, 17, 17, 17, 16, 16, 17, 17, 18, 16, 11, 6, 6, 7, 8, 7, 7, 7, 6, 6, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 13, 12, 12, 13, 11, 11, 12, 12, 11, 11, 11, 11, 11, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 6, 6, 0, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 10, 10, 3, 3, 2, 2, 0, 11, 11, 1, 2, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 13, 13, 1, 2, 1, 4, 4, 4, 13, 13, 0, 14, 14, 1, 2, 1, 4, 4, 4, 14, 14, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 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, 0, 17, 17, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 17, 17, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 4, 4, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 5, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 5, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 5, 5, 2, 1, 2, 2, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 5, 5, 4, 1, 4, 4, 4, 0, 1, 2, 0, 0, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 1, 0, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 5, 5, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 5, 5 ]
[ 465, 16672, 203, 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 465, 594, 17321, 36, 203, 1070, 638, 1188, 5718, 203, 1070, 3089, 749, 98, 32, 3477, 32, 1647, 1188, 308, 371, 81, 1647, 81, 2388, 30, 33330, 45823, 30, 2454, 81, 11722, 81, 1070, 81, 2310, 81, 761, 619, 2454, 81, 10785, 27, 203, 823, 41635, 26, 2019, 711, 284, 665, 1420, 26, 784, 30, 4774, 1132, 711, 291, 4118, 280, 16672, 32, 26633, 26, 324, 23161, 28664, 101, 46194, 20, 904, 5237, 32, 6118, 77, 34, 997, 2998, 26, 500, 32, 983, 32, 12595, 5594, 31, 35, 614, 324, 3048, 47, 784, 3667, 1427, 7642, 324, 484, 1295, 751, 47, 784, 32, 929, 23715, 1026, 291, 829, 291, 4118, 32, 669, 81, 2669, 26, 324, 6470, 102, 370, 11363, 2387, 370, 827, 47, 2387, 30, 1244, 47, 2387, 463, 1536, 1425, 324, 3049, 347, 4391, 312, 3115, 2297, 3079, 30, 883, 526, 312, 3079, 636, 556, 322, 20, 353, 313, 1519, 372, 312, 2297, 3079, 308, 1536, 44, 18147, 1536, 27, 101, 14451, 291, 4118, 32, 669, 81, 2669, 463, 426, 370, 3049, 347, 558, 432, 322, 2297, 372, 1487, 657, 291, 4118, 32, 669, 81, 2669, 26, 324, 330, 3316, 370, 1244, 1057, 6418, 34292, 1057, 20787, 324, 3049, 347, 4542, 372, 1487, 322, 2297, 328, 308, 1536, 44, 18147, 1536, 27, 101, 14451, 291, 415, 646, 4774, 1132, 44, 324, 5237, 32, 4775, 26, 3922, 32, 1216, 81, 4756, 1157, 291, 2181, 280, 4118, 32, 2208, 81, 1132, 26, 1132, 47, 3515, 1132, 27, 291, 2181, 32, 2387, 32, 3169, 81, 452, 26, 324, 34817, 26, 1132, 32, 426, 471, 324, 3362, 26, 1132, 32, 3316, 30, 1487, 47, 1815, 471, 324, 5053, 426, 950, 2181, 32, 426, 1748, 284, 665, 484, 1295, 751, 26, 784, 711, 291, 442, 313, 15128, 31, 266, 12877, 3304, 884, 44, 904, 101, 20, 904, 5769, 5608, 2524, 26, 324, 343, 436, 343, 328, 2322, 32, 26366, 26, 26354, 1157, 324, 415, 343, 863, 330, 1439, 25, 291, 829, 203, 26354, 280, 9254, 319, 1132, 44, 2322, 32, 983, 32, 2524, 26, 284, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 4064, 761, 505, 3662, 284, 330, 8881, 370, 284, 319, 1132, 27, 203, 589, 34817, 26, 101, 711, 284, 309, 280, 316, 32, 1113, 26, 100, 25, 12390, 46, 6020, 80, 51, 31, 76, 1130, 78, 52, 2009, 51, 31, 76, 1130, 370, 540, 25, 766, 35, 370, 309, 27, 284, 442, 7610, 2473, 2524, 26, 101, 32, 5729, 922, 2998, 1157, 203, 589, 4346, 1282, 26, 101, 711, 284, 442, 35617, 2524, 26, 291, 10051, 32, 34399, 346, 291, 436, 10051, 328, 316, 32, 1113, 463, 11359, 78, 101, 6155, 370, 330, 5769, 309, 547, 2998, 346, 284, 829, 203, 589, 3362, 26, 98, 30, 1487, 47, 2700, 711, 284, 20923, 280, 2322, 32, 983, 32, 21379, 26, 291, 2322, 32, 983, 32, 8931, 496, 26, 324, 2322, 32, 983, 32, 8931, 6862, 26, 98, 2610, 284, 415, 1487, 461, 646, 2322, 32, 983, 32, 4658 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 8, 8, 9, 12, 12, 12, 10, 10, 15, 16, 14, 15, 14, 14, 13, 16, 15, 16, 14, 15, 13, 12, 13, 11, 8, 8, 9, 11, 10, 11, 11, 8, 8, 10, 10, 9, 12, 11, 12, 12, 11, 8, 8, 4, 4, 7, 8, 8, 8, 7, 7, 7, 9, 9, 7, 9, 9, 7, 8, 9, 7, 7, 8, 10, 10, 12, 12, 7, 7, 8, 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, 11, 11, 11, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 7, 7, 9, 9, 7, 8, 10, 7, 8, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 7, 5, 5, 5, 9, 10, 9, 12, 11, 12, 12, 12, 11, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 7, 7, 9, 11, 10, 11, 9, 7, 7, 9, 11, 10, 11, 9, 9, 10, 11, 9, 7, 7, 11, 11, 9, 10, 11, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 9, 8, 8, 8, 8, 9, 9, 9, 11, 12, 11, 13, 13, 8, 8, 9, 10, 10, 12, 12, 8, 8, 0, 3, 2, 2, 3, 6, 3, 3, 6, 7, 5, 6, 5, 5, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 9, 5, 5, 7, 7, 5, 5, 7, 5, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 6, 2, 2, 3, 7, 6, 5, 10, 9, 10, 9, 8, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 5, 5, 5, 7, 8, 7, 5, 5, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 10, 12, 10, 10, 9, 8, 5, 5, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 6, 6, 9, 10, 8, 9, 9, 8, 8, 8, 11, 12, 10, 11, 11, 10, 11, 10, 2, 2, 3, 4, 4, 5, 8, 9, 7, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 5, 5, 5, 5, 0, 6, 6, 0, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 2, 2, 6, 0, 7, 7, 2, 1, 2, 7, 7, 0, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 3, 0, 2, 2, 2, 1, 1, 0, 0, 5, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 2, 1, 1, 7, 0, 1, 1, 2, 1, 1, 9, 1, 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, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 5, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 2, 1, 2, 2, 5, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 9, 9, 2, 1, 2, 9, 9, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 4, 4, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 11, 11, 2, 1, 2, 2, 3, 2, 2, 11, 11, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 0, 2, 0, 2 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 29346, 32, 1262, 1188, 14735, 203, 1070, 29346, 32, 1262, 1188, 5624, 619, 5624, 81, 1647, 203, 1070, 29346, 32, 3259, 32, 11514, 32, 995, 29391, 1188, 18765, 81, 995, 29391, 81, 7878, 203, 1070, 29346, 32, 3259, 32, 7128, 1188, 5427, 203, 1070, 29346, 32, 3259, 32, 7128, 1188, 4195, 81, 7128, 203, 1070, 29346, 32, 3259, 32, 5134, 1188, 18765, 81, 2929, 203, 1070, 29346, 32, 3259, 32, 1040, 1188, 1519, 203, 823, 24341, 13025, 63, 363, 29391, 9610, 26, 20000, 81, 7128, 32, 23708, 9610, 711, 334, 665, 1156, 1664, 3207, 784, 30, 5427, 81, 681, 30, 43606, 81, 2184, 30, 15012, 30, 3083, 5427, 81, 5660, 711, 284, 1760, 81, 500, 280, 5237, 32, 5134, 32, 5729, 346, 284, 2599, 26, 23708, 13025, 63, 363, 29391, 9610, 30, 630, 14585, 1664, 3207, 291, 5427, 81, 681, 30, 1760, 81, 500, 30, 9567, 81, 3007, 81, 2435, 47, 2700, 27, 284, 1201, 5427, 81, 681, 328, 7477, 1934, 9610, 2424, 26, 20427, 81, 2184, 471, 308, 291, 330, 6574, 1015, 904, 101, 372, 18765, 81, 995, 29391, 81, 20427, 32, 4868, 1934, 9610, 2424, 25, 904, 291, 5427, 81, 681, 27, 284, 630, 1114, 1696, 81, 21823, 280, 15012, 284, 630, 1114, 7128, 81, 5660, 280, 5427, 81, 5660, 334, 665, 1156, 13707, 3207, 784, 711, 284, 442, 330, 23708, 13025, 63, 363, 29391, 9610, 26, 681, 6132, 101, 30, 15012, 6132, 101, 9905, 904, 308, 291, 630, 32, 7128, 81, 681, 30, 630, 1114, 1696, 81, 21823, 27, 334, 665, 617, 3573, 6841, 39325, 26, 784, 711, 284, 415, 630, 1114, 5134, 44, 397, 442, 284, 630, 1114, 5134, 280, 5624, 81, 1647, 32, 936, 3663, 6841, 346, 284, 630, 1114, 5134, 81, 7878, 280, 630, 1114, 5134, 1114, 5134, 81, 7878, 334, 665, 2648, 26, 784, 30, 43606, 81, 2184, 711, 284, 630, 1114, 3573, 6841, 39325, 346, 284, 47537, 29391, 81, 7878, 280, 18765, 81, 995, 29391, 81, 7878, 32, 13025, 63, 363, 29391, 10564, 26, 291, 630, 1114, 5134, 81, 7878, 30, 43606, 81, 2184, 32, 7128, 81, 2184, 30, 291, 630, 1114, 1696, 81, 21823, 30, 630, 1114, 7128, 81, 5660, 27, 284, 442, 5427, 32, 9610, 26, 291, 47537, 29391, 81, 7878, 30, 630, 1114, 5134, 81, 7878, 30, 630, 1114, 12623, 81, 983, 27, 334, 665, 36311, 2031, 26, 784, 30, 43606, 81, 2184, 711, 284, 415, 2069, 26, 20427, 81, 2184, 32, 9081, 81, 452, 81, 944, 27, 863, 225, 34, 44, 397, 442, 3177, 284, 442, 2933, 334, 665, 4000, 23928, 39325, 26, 784, 711, 284, 3097, 334, 665, 2401, 81, 38674, 81, 1003, 26, 784, 711, 284, 415, 2322, 32, 983, 32, 4658, 26, 784, 1114, 1696, 81, 21823, 711, 397, 442, 2322, 32, 983, 32, 371, 29290, 26, 784, 1114, 1696, 81, 21823, 27, 284, 442, 429, 35, 203, 589, 6608, 2044, 9610, 26, 20000, 81, 84, 16418, 711, 334, 415, 646, 4195, 81, 84, 16418, 44, 284, 442, 1665, 334, 442, 1769, 26, 20000, 81, 84, 16418, 30, 1202, 47 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 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, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 9, 9, 8, 9, 7, 4, 4, 5, 7, 7, 6, 6, 8, 8, 8, 8, 9, 9, 9, 8, 5, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 8, 8, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 7, 8, 8, 8, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 7, 7, 6, 6, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 5, 7, 8, 7, 7, 7, 8, 8, 8, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 10, 10, 10, 9, 10, 10, 10, 10, 10, 8, 6, 6, 7, 5, 5, 5, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 5, 5, 7, 10, 11, 9, 10, 10, 9, 11, 10, 11, 11, 11, 9, 4, 4, 5, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 5, 5, 5, 3, 3, 3, 5, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 9, 9, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 2, 2, 9, 9, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 0, 0, 5, 2, 1, 4, 4, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 3, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 1, 7, 2, 2, 2, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 4, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 4, 4, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 0, 10, 10, 1, 1, 2, 1, 1, 1, 1, 2, 10, 10, 0, 1, 1, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 3 ]
[ 1070, 273, 34, 2840, 34, 32, 2282, 32, 1299, 1188, 10860, 203, 1070, 1984, 15678, 32, 21596, 96, 1066, 32, 11201, 1188, 15807, 7256, 203, 1070, 1984, 15678, 32, 21596, 96, 1066, 32, 11201, 1188, 11028, 2963, 203, 1070, 1984, 15678, 32, 21596, 96, 1066, 1188, 11028, 203, 465, 22045, 36, 203, 1070, 1984, 15678, 1188, 4942, 203, 1070, 5034, 1188, 4060, 15404, 203, 465, 816, 84, 6053, 8463, 203, 465, 316, 203, 465, 1133, 203, 823, 14149, 25445, 76, 11964, 6076, 7256, 26, 4152, 30, 15807, 7256, 30, 11028, 2963, 711, 284, 4575, 280, 428, 2205, 7256, 30, 11028, 2963, 79, 284, 636, 280, 313, 3471, 25445, 110, 9029, 108, 5000, 20, 284, 665, 1156, 1664, 3207, 784, 711, 291, 298, 280, 630, 32, 371, 81, 8126, 463, 9786, 683, 556, 225, 35, 34, 34, 291, 630, 32, 9786, 280, 629, 26, 98, 27, 291, 630, 32, 1299, 280, 10860, 346, 284, 665, 622, 81, 3435, 81, 965, 26, 784, 30, 3408, 30, 7444, 81, 314, 711, 291, 2676, 81, 965, 280, 630, 32, 371, 81, 965, 26, 2035, 30, 7444, 81, 314, 27, 291, 1596, 44, 324, 5127, 280, 630, 32, 1299, 32, 525, 81, 2788, 26, 1840, 81, 965, 27, 324, 4159, 280, 5127, 32, 1286, 324, 540, 280, 316, 32, 1903, 463, 761, 44, 11608, 33581, 49, 5715, 370, 4159, 27, 324, 415, 540, 44, 400, 442, 540, 32, 1363, 26, 35, 27, 324, 3636, 3268, 2726, 3471, 25445, 110, 9029, 108, 5000, 44, 3065, 646, 4224, 6027, 1984, 683, 291, 2940, 22045, 36, 32, 1263, 43189, 30, 484, 44, 324, 4942, 32, 16662, 32, 751, 81, 731, 463, 7218, 25445, 44, 5424, 1913, 1048, 904, 86, 26857, 904, 101, 25, 904, 6619, 308, 87, 32, 687, 30, 2676, 81, 965, 490, 324, 4942, 32, 16662, 32, 2245, 81, 4884, 81, 11796, 463, 924, 1195, 2217, 1048, 44, 10699, 466, 26, 87, 471, 225, 39, 34, 34, 34, 30, 1048, 81, 5370, 27, 324, 442, 630, 32, 311, 575, 45489, 26, 687, 47, 37, 30, 3124, 47, 87, 27, 291, 2940, 3268, 30, 484, 44, 324, 4942, 32, 16662, 32, 751, 81, 731, 463, 451, 14149, 25445, 3081, 30695, 44, 904, 101, 25, 904, 484, 27, 324, 4942, 32, 16662, 32, 2245, 81, 4884, 81, 11796, 26, 1311, 1057, 77, 52, 1674, 6224, 8400, 79, 22443, 76, 1893, 36265, 6224, 1674, 33, 52, 16249, 3124, 1057, 77, 6224, 3346, 79, 23, 101, 36265, 6224, 18262, 904, 484, 30, 7808, 47, 39, 34, 34, 34, 30, 1778, 47, 731, 81, 5370, 27, 324, 442, 630, 32, 311, 575, 45489, 26, 687, 47, 34, 30, 3124, 47, 87, 27, 284, 665, 622, 81, 965, 26, 784, 30, 3408, 30, 7444, 81, 314, 711, 324, 442, 3408, 474, 7444, 81, 314, 284, 665, 622, 81, 2035, 81, 363, 81, 314, 26, 784, 30, 1984, 711, 291, 540, 280, 316, 32, 1903, 463, 26, 525, 555, 18470, 1499, 8302, 2502, 2805, 33581, 49, 4165, 27, 2009, 34, 31, 43, 51, 31, 21948, 31, 108, 6155, 7243, 1984, 27, 291, 415, 540, 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, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 5, 5, 6, 5, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 10, 10, 9, 11, 11, 7, 7, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 4, 4, 5, 5, 5, 8, 8, 11, 12, 10, 11, 11, 11, 10, 11, 11, 11, 10, 6, 6, 8, 8, 9, 10, 6, 6, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 6, 6, 7, 7, 7, 7, 9, 11, 12, 11, 12, 11, 6, 6, 7, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 8, 7, 8, 8, 6, 6, 6, 6, 6, 11, 12, 10, 11, 11, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 14, 13, 14, 12, 12, 13, 13, 12, 7, 7, 11, 12, 10, 11, 11, 11, 11, 11, 10, 12, 12, 13, 13, 13, 13, 13, 13, 14, 13, 10, 11, 11, 11, 11, 10, 10, 11, 11, 10, 7, 7, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 5, 5, 6, 6, 6, 6, 6, 6, 11, 12, 10, 11, 11, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 7, 7, 11, 12, 10, 11, 11, 11, 11, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 10, 10, 11, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 7, 7, 8, 10, 11, 11, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 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, 8, 8, 4, 4, 5, 5 ]
[ 0, 0, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 2, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 7, 7, 0, 0, 0, 0, 8, 8, 0, 9, 9, 0, 10, 10, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 10, 10, 0, 0, 1, 1, 2, 2, 3, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 2, 2, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 2, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 3, 3, 2, 5, 5, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 5, 5, 5, 5, 1, 1, 7, 7, 1, 5, 5, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 4, 4, 4, 4, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 5, 2, 2, 2, 2, 1, 1, 7, 2, 2, 2, 1, 5, 5, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 1, 1, 2, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 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, 4, 4, 1, 1 ]
[ 465, 2322, 203, 1070, 345, 9827, 1188, 1623, 203, 1070, 345, 9827, 1188, 6985, 203, 1070, 345, 9827, 1188, 3500, 17828, 543, 203, 1070, 345, 9827, 32, 761, 1473, 1188, 37960, 620, 203, 1070, 345, 9827, 32, 858, 32, 2846, 1188, 488, 9827, 7233, 203, 823, 21100, 543, 21306, 1006, 26, 63, 9827, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 488, 9827, 7233, 32, 23741, 26, 784, 27, 291, 630, 32, 2853, 81, 983, 280, 630, 32, 2682, 81, 1433, 81, 983, 346, 284, 665, 28921, 26, 784, 711, 291, 1596, 44, 324, 2322, 32, 23754, 26, 784, 32, 2853, 81, 983, 27, 291, 2940, 546, 21887, 44, 324, 3097, 291, 488, 9827, 7233, 32, 519, 282, 3211, 26, 784, 27, 284, 665, 1505, 81, 1473, 81, 668, 81, 25201, 81, 858, 26, 784, 30, 1300, 81, 668, 711, 291, 630, 32, 23895, 26, 4603, 17828, 543, 32, 3954, 6899, 2600, 924, 30, 3775, 3500, 17828, 543, 32, 1553, 81, 17828, 543, 30, 1300, 81, 668, 30, 3177, 27, 284, 665, 1505, 81, 3299, 81, 325, 81, 20000, 26, 784, 30, 1477, 81, 668, 30, 5253, 81, 668, 711, 291, 630, 32, 731, 81, 7295, 81, 1253, 395, 280, 2933, 291, 13675, 280, 3500, 17828, 543, 32, 1553, 81, 17828, 543, 26, 1366, 81, 668, 27, 291, 630, 32, 4983, 26, 1366, 81, 668, 30, 5253, 81, 668, 27, 291, 630, 32, 4983, 26, 5265, 30, 3177, 27, 291, 630, 32, 4983, 26, 784, 32, 101, 812, 81, 731, 30, 2933, 27, 284, 665, 1505, 81, 1473, 81, 668, 81, 32373, 81, 858, 26, 784, 30, 1300, 81, 668, 711, 291, 3500, 17828, 543, 32, 1553, 81, 17828, 543, 26, 1473, 81, 668, 27, 284, 665, 894, 81, 39737, 81, 6528, 81, 23045, 26, 784, 711, 291, 296, 280, 6985, 32, 8357, 26, 103, 20, 525, 555, 6528, 32, 3418, 657, 291, 595, 280, 1623, 32, 1097, 26, 1094, 32, 8357, 2825, 3354, 1371, 13431, 6985, 81, 314, 47, 88, 32, 314, 27, 291, 595, 36, 280, 1623, 32, 974, 1097, 26, 10239, 620, 3247, 3986, 33, 1632, 32, 2760, 1425, 6985, 81, 314, 47, 88, 32, 314, 27, 291, 630, 32, 1553, 81, 1473, 81, 668, 81, 25201, 81, 858, 2009, 91, 1130, 291, 630, 32, 1553, 81, 3299, 81, 325, 81, 20000, 2009, 91, 30, 595, 36, 614, 11544, 291, 630, 32, 1553, 81, 1473, 81, 668, 81, 32373, 81, 858, 2009, 91, 30, 296, 1130, 291, 630, 32, 1553, 81, 1473, 81, 668, 81, 32373, 81, 858, 24562, 284, 665, 894, 81, 12505, 81, 6528, 81, 23045, 26, 784, 711, 291, 296, 280, 6985, 32, 8357, 26, 103, 20, 2632, 104, 44, 12505, 8357, 657, 291, 296, 36, 280, 6985, 32, 8357, 26, 103, 20, 2632, 104, 44, 12505, 8357, 657, 291, 296, 37, 280, 6985, 32, 8357, 26, 103, 20, 2632, 104, 44, 12505, 8357, 657, 291, 630, 32, 1553, 81, 1473, 81, 668, 81, 32373, 81, 858, 2009, 88, 1130, 291, 630, 32, 1553, 81, 1473, 81, 668, 81, 25201, 81, 858, 2009, 88, 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, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 8, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 9, 10, 9, 11, 10, 11, 11, 11, 9, 5, 5, 6, 7, 6, 6, 6, 4, 4, 8, 8, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 9, 7, 7, 8, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 6, 6, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 8, 11, 10, 11, 11, 11, 10, 11, 8, 10, 10, 9, 11, 10, 11, 8, 4, 4, 7, 6, 6, 8, 9, 9, 8, 10, 10, 10, 12, 12, 12, 12, 12, 12, 8, 10, 10, 9, 11, 10, 11, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 8, 9, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 2, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 3, 1, 3, 3, 3, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 1, 1, 5, 5, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1 ]
[ 1070, 8527, 32, 12023, 1188, 5218, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 81, 10629, 203, 1070, 8527, 32, 36287, 1188, 5668, 203, 1070, 8527, 32, 36287, 1188, 622, 81, 1473, 81, 271, 81, 38, 34, 38, 203, 1070, 8527, 32, 4338, 32, 9947, 32, 3176, 1188, 2648, 1074, 30, 4000, 1074, 30, 6788, 1074, 203, 1070, 8527, 32, 4338, 32, 9947, 1188, 29857, 203, 1070, 298, 8584, 32, 3378, 1188, 40005, 203, 1070, 10173, 32, 3378, 1188, 5830, 203, 1070, 298, 8584, 32, 8538, 1188, 40005, 1241, 203, 823, 40005, 1922, 1074, 26, 1922, 1074, 711, 284, 1542, 280, 40005, 284, 2234, 81, 823, 280, 40005, 1241, 284, 3079, 81, 426, 81, 12420, 280, 7610, 1297, 25, 284, 3117, 81, 965, 280, 10156, 81, 10629, 463, 2833, 683, 284, 3117, 81, 1436, 280, 330, 12970, 438, 7504, 3272, 25, 284, 665, 2234, 81, 1327, 26, 784, 30, 2234, 711, 291, 630, 32, 1473, 280, 2234, 32, 2853, 26, 3375, 47, 2700, 27, 291, 630, 32, 1473, 32, 496, 280, 630, 32, 1357, 32, 496, 291, 630, 32, 1473, 32, 2853, 346, 291, 5218, 32, 3127, 26, 784, 32, 1357, 30, 630, 32, 3127, 81, 1436, 27, 291, 442, 5668, 26, 784, 32, 371, 81, 3127, 81, 965, 1157, 284, 665, 622, 81, 3127, 81, 965, 26, 784, 711, 291, 442, 10156, 81, 10629, 440, 1071, 81, 6126, 81, 8886, 392, 10306, 12516, 3174, 950, 630, 32, 1473, 32, 3174, 1748, 203, 823, 40005, 2333, 1074, 26, 2333, 1074, 711, 284, 1542, 280, 40005, 284, 2234, 81, 823, 280, 40005, 1241, 284, 3079, 81, 426, 81, 12420, 280, 7610, 3176, 25, 284, 3117, 81, 965, 280, 10156, 81, 10629, 463, 2833, 683, 284, 3117, 81, 1436, 280, 330, 12970, 438, 7504, 4459, 25, 284, 665, 2234, 81, 1327, 26, 784, 30, 2234, 711, 291, 5218, 32, 3127, 26, 784, 32, 1357, 30, 630, 32, 3127, 81, 1436, 27, 291, 442, 2599, 26, 12970, 2333, 1074, 30, 630, 547, 599, 81, 1327, 26, 599, 27, 284, 665, 622, 81, 37741, 26, 784, 711, 291, 22513, 280, 2599, 26, 12970, 2333, 1074, 30, 630, 547, 371, 81, 37741, 346, 291, 442, 22513, 32, 2029, 26, 496, 47, 784, 32, 1357, 32, 496, 27, 284, 665, 622, 81, 3127, 81, 965, 26, 784, 711, 291, 442, 10156, 81, 10629, 440, 1071, 81, 6126, 81, 8886, 392, 10306, 12516, 3174, 950, 630, 32, 1473, 32, 3174, 1748, 203, 823, 40005, 11438, 13460, 26, 13460, 711, 284, 1542, 280, 5830, 284, 1619, 81, 1473, 81, 426, 280, 330, 8886, 25, 284, 2532, 81, 1170, 280, 6470, 6368, 81, 269, 25, 284, 3079, 81, 426, 280, 330, 6126, 101, 33, 6126, 81, 5766, 81, 668, 32, 916, 25, 284, 665, 622, 81, 37741, 26, 784, 711, 291, 2532, 81, 1170, 280, 630, 32, 1357, 32, 2788, 32, 371, 463, 1174, 370, 630, 32, 1174, 81, 1170, 27, 291, 442, 630, 32, 371, 81, 6126, 922, 5766, 81, 470, 32, 464, 922, 1174, 81, 1170, 26, 1174, 81, 1170, 27, 284, 665, 622, 81, 6126, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 8, 9, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 8, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 5, 7, 10, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 8, 12, 12, 10, 12, 13, 11, 12, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 5, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 4, 4, 5, 7, 8, 7, 9, 8, 11, 10, 11, 9, 10, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 8, 12, 12, 10, 12, 13, 11, 12, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 10, 11, 9, 10, 8, 9, 8, 10, 10, 8, 9, 10, 10, 10, 8, 4, 4, 5, 12, 13, 13, 13, 12, 11, 11, 11, 9, 10, 9, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 9, 9, 1, 1, 2, 1, 1, 2, 9, 9, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 4, 1, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 0, 2, 2, 2, 2, 0, 10, 10, 1, 1, 2, 1, 1, 2, 10, 10, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 0, 2, 2, 2, 2, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 2 ]
[ 505, 2116, 505, 280, 330, 1287, 38152, 452, 905, 50, 2175, 32, 508, 308, 2982, 102, 2614, 905, 9905, 203, 465, 2322, 203, 465, 5237, 203, 1270, 44, 334, 1188, 15798, 36, 619, 15798, 261, 203, 7343, 29986, 44, 334, 1188, 15798, 203, 1070, 9270, 32, 3938, 1188, 15798, 81, 465, 81, 4365, 36, 203, 1070, 9270, 32, 3938, 1188, 15798, 81, 465, 81, 923, 81, 4365, 36, 203, 1070, 9270, 32, 3938, 1188, 15798, 81, 4365, 36, 203, 1070, 9270, 32, 3938, 1188, 9866, 81, 4365, 36, 203, 1070, 9270, 32, 3938, 32, 3259, 1188, 4125, 81, 19373, 203, 1070, 9270, 32, 3938, 32, 3259, 1188, 9866, 81, 5178, 81, 858, 35, 81, 4365, 36, 203, 1070, 9270, 32, 3938, 32, 3259, 1188, 9866, 81, 5178, 81, 858, 36, 81, 4365, 36, 203, 1070, 9270, 32, 3938, 32, 3259, 1188, 7763, 81, 858, 35, 81, 4365, 36, 203, 1070, 9270, 32, 3938, 32, 3259, 1188, 7763, 81, 858, 36, 81, 4365, 36, 203, 1070, 9270, 32, 3938, 32, 3259, 1188, 803, 81, 2184, 81, 858, 81, 4365, 36, 203, 1070, 9270, 32, 3938, 32, 3259, 1188, 1829, 81, 6286, 81, 4365, 36, 203, 1070, 9270, 32, 3938, 1188, 9866, 203, 1070, 9270, 32, 3938, 1188, 9866, 81, 4603, 203, 1070, 9270, 32, 3938, 1188, 9866, 81, 5178, 203, 1070, 9270, 32, 3938, 1188, 1474, 81, 5792, 203, 1070, 9270, 32, 3938, 1188, 6977, 81, 4603, 203, 823, 16778, 4198, 1006, 26, 18986, 32, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 630, 32, 5178, 280, 9866, 81, 5178, 32, 4327, 4198, 346, 284, 630, 32, 5792, 81, 858, 35, 81, 2995, 280, 9866, 81, 4365, 36, 32, 33748, 3489, 32, 17725, 26, 291, 7763, 81, 858, 35, 81, 4365, 36, 32, 27874, 32, 15665, 81, 4365, 27, 284, 630, 32, 5792, 81, 858, 36, 81, 2995, 280, 9866, 81, 4365, 36, 32, 33748, 3489, 32, 17725, 26, 291, 7763, 81, 858, 36, 81, 4365, 36, 32, 27874, 32, 15665, 81, 4365, 27, 284, 630, 32, 5178, 32, 1103, 26, 784, 32, 5792, 81, 858, 35, 81, 2995, 27, 284, 630, 32, 5178, 32, 1103, 26, 784, 32, 5792, 81, 858, 36, 81, 2995, 27, 284, 630, 32, 5178, 32, 1103, 26, 9664, 81, 4365, 36, 32, 33748, 3489, 32, 17725, 26, 291, 15798, 81, 465, 81, 923, 81, 4365, 36, 32, 27874, 32, 15665, 81, 4365, 490, 284, 630, 32, 5178, 32, 1103, 26, 9664, 81, 4365, 36, 32, 33748, 3489, 32, 17725, 26, 291, 15798, 81, 465, 81, 4365, 36, 32, 27874, 32, 15665, 81, 4365, 490, 284, 630, 32, 5178, 32, 1103, 26, 9664, 81, 4365, 36, 32, 33748, 3489, 32, 17725, 26, 291, 15798, 81, 4365, 36, 32, 27874, 32, 15665, 81, 4365, 490, 334, 665, 894, 4868, 974, 9813, 26, 784, 711, 284, 636, 35, 280, 330, 2175, 33, 3938, 33, 3259, 33, 5792, 81, 858, 35, 32, 1805, 25, 284, 803, 81, 3801, 35, 280, 630, 32, 5178, 32, 4868, 974, 9813, 26, 426, 35, 27, 284, 630, 32, 25839, 1810, 26, 761, 81, 3801 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 6, 4, 4, 1, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 9, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 10, 10, 10, 9, 10, 10, 8, 9, 8, 8, 8, 11, 11, 11, 11, 11, 11, 10, 11, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 10, 10, 10, 9, 10, 10, 8, 9, 8, 8, 8, 11, 11, 11, 11, 11, 11, 10, 11, 9, 10, 10, 10, 8, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 11, 11, 11, 11, 10, 11, 11, 9, 10, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 11, 12, 10, 11, 11, 11, 9, 4, 4, 8, 9, 7, 8, 7, 11, 11, 11, 11, 10, 11, 11, 9, 10, 9, 9, 9, 12, 12, 12, 12, 12, 11, 12, 10, 11, 11, 11, 9, 4, 4, 8, 9, 7, 8, 7, 11, 11, 11, 11, 10, 11, 11, 9, 10, 9, 9, 9, 12, 12, 12, 11, 12, 10, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 8, 4, 4, 7, 8, 8, 7, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 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, 0, 0, 0, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 0, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 0, 0, 0, 15, 15, 1, 2, 15, 15, 0, 16, 16, 1, 2, 16, 16, 0, 0, 0, 17, 17, 1, 2, 17, 17, 0, 0, 0, 18, 18, 1, 2, 18, 18, 0, 0, 0, 19, 19, 1, 2, 19, 19, 0, 0, 0, 20, 20, 1, 1, 2, 0, 1, 2, 2, 20, 20, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1 ]
[ 505, 2116, 505, 280, 313, 342, 7281, 930, 107, 20, 203, 505, 770, 505, 280, 3941, 39, 31, 23091, 31, 36, 34, 35, 34, 225, 43, 44, 37, 39, 44, 36, 43, 9396, 11033, 203, 6231, 81, 2516, 280, 3037, 3856, 1351, 392, 313, 3856, 4504, 392, 313, 3856, 629, 392, 355, 313, 2058, 1351, 392, 313, 2058, 4504, 392, 313, 2058, 629, 392, 355, 313, 1808, 392, 313, 2627, 1446, 203, 35645, 81, 2402, 81, 2516, 280, 3037, 102, 3137, 36, 392, 313, 102, 3137, 37, 392, 313, 102, 3137, 38, 1446, 203, 35645, 81, 4873, 81, 2516, 280, 3037, 102, 1287, 36, 106, 36, 392, 313, 102, 1287, 36, 106, 37, 392, 313, 102, 1287, 36, 106, 38, 392, 603, 202, 20, 102, 1287, 37, 106, 36, 392, 313, 102, 1287, 37, 106, 37, 392, 313, 102, 1287, 37, 106, 38, 392, 603, 202, 20, 102, 1287, 38, 106, 36, 392, 313, 102, 1287, 38, 106, 37, 392, 313, 102, 1287, 38, 106, 38, 1446, 203, 35645, 81, 4873, 81, 3656, 81, 18246, 280, 3037, 29, 12614, 4825, 12614, 11570, 12614, 2430, 347, 79, 203, 35645, 81, 4873, 81, 541, 81, 520, 81, 2938, 280, 301, 1379, 202, 20, 102, 1287, 36, 106, 36, 2510, 102, 1287, 36, 106, 36, 392, 1379, 202, 20, 102, 1287, 36, 106, 37, 2510, 102, 1287, 37, 106, 37, 392, 1379, 202, 20, 102, 1287, 36, 106, 38, 2510, 102, 1287, 38, 106, 38, 392, 1379, 202, 20, 102, 1287, 37, 106, 36, 2510, 102, 1287, 36, 106, 36, 392, 1379, 202, 20, 102, 1287, 37, 106, 37, 2510, 102, 1287, 37, 106, 37, 392, 1379, 202, 20, 102, 1287, 37, 106, 38, 2510, 102, 1287, 38, 106, 38, 392, 1379, 202, 20, 102, 1287, 38, 106, 36, 2510, 102, 1287, 36, 106, 36, 392, 1379, 202, 20, 102, 1287, 38, 106, 37, 2510, 102, 1287, 37, 106, 37, 392, 1379, 202, 20, 102, 1287, 38, 106, 38, 2510, 102, 1287, 38, 106, 38, 392, 1379, 202, 111, 203, 35645, 81, 4873, 81, 990, 81, 520, 81, 2938, 280, 301, 1379, 202, 20, 102, 1287, 36, 106, 36, 2510, 102, 1287, 36, 106, 36, 392, 1379, 202, 20, 102, 1287, 36, 106, 37, 2510, 102, 1287, 37, 106, 36, 392, 1379, 202, 20, 102, 1287, 36, 106, 38, 2510, 102, 1287, 38, 106, 36, 392, 1379, 202, 20, 102, 1287, 37, 106, 36, 2510, 102, 1287, 36, 106, 37, 392, 1379, 202, 20, 102, 1287, 37, 106, 37, 2510, 102, 1287, 37, 106, 37, 392, 1379, 202, 20, 102, 1287, 37, 106, 38, 2510, 102, 1287, 38, 106, 37, 392, 1379, 202, 20, 102, 1287, 38, 106, 36, 2510, 102, 1287, 36, 106, 38, 392, 1379, 202, 20, 102, 1287, 38, 106, 37, 2510, 102, 1287, 37, 106, 38, 392, 1379, 202, 20, 102, 1287, 38, 106, 38, 2510, 102, 1287, 38, 106, 38, 392, 1379, 202, 111, 203, 589, 4479, 81, 24897, 2262, 203, 202, 979, 354, 328, 18065, 81, 2402, 81, 2516, 44, 357, 202, 1216, 357, 202, 1216, 27676, 20, 357 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 3, 5, 3, 5, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 6, 4, 4, 5, 5, 7, 4 ]
[ 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 8, 8, 1, 1, 2, 8, 8, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 5, 5, 1, 1, 2, 5 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 465, 35094, 30, 3995, 203, 1070, 1417, 1188, 1417, 203, 1070, 15121, 99, 1188, 310, 1745, 20594, 203, 1070, 4134, 1188, 1623, 18241, 203, 1070, 26313, 1188, 15105, 203, 1070, 1133, 1188, 1133, 203, 1070, 6560, 13821, 32, 8524, 1188, 3850, 3028, 30, 35198, 203, 1270, 44, 284, 645, 13625, 1188, 18609, 203, 7343, 29986, 44, 284, 443, 18609, 26, 2665, 711, 291, 665, 1156, 9785, 3207, 784, 30, 1202, 711, 324, 442, 225, 34, 203, 589, 707, 4464, 81, 2613, 26, 1298, 711, 284, 3320, 280, 2149, 284, 477, 6381, 288, 7550, 32, 4071, 101, 26, 1298, 27, 284, 665, 22142, 81, 5098, 2740, 1132, 711, 291, 1596, 44, 324, 442, 3320, 77, 1132, 79, 291, 2940, 25085, 44, 324, 1056, 280, 3420, 2740, 1132, 27, 324, 3320, 77, 1132, 79, 280, 1056, 324, 442, 1056, 284, 442, 22142, 81, 5098, 203, 589, 456, 2947, 81, 2613, 26, 1449, 891, 47, 35, 34, 34, 711, 284, 665, 12982, 1741, 81, 1126, 26, 496, 81, 1126, 711, 291, 8616, 280, 428, 34, 30, 225, 34, 79, 16189, 706, 280, 2149, 291, 2401, 3985, 280, 2149, 291, 477, 6381, 288, 7550, 32, 4071, 101, 26, 496, 81, 1126, 27, 291, 665, 7767, 2740, 1132, 711, 324, 1596, 44, 400, 1056, 280, 706, 77, 1132, 79, 400, 8616, 77, 34, 79, 1454, 225, 35, 23688, 2940, 25085, 44, 400, 8616, 77, 35, 79, 1454, 225, 35, 38042, 415, 2069, 26, 605, 27, 610, 1769, 891, 44, 528, 436, 831, 30, 617, 328, 310, 1745, 20594, 26, 1449, 891, 434, 225, 35, 34, 556, 225, 35, 30, 10631, 3850, 3028, 26, 2135, 3985, 471, 10631, 1202, 47, 1094, 18241, 26, 35, 8531, 715, 3555, 706, 77, 93, 79, 715, 3555, 2401, 3985, 77, 93, 79, 400, 706, 77, 1132, 79, 280, 1256, 81, 1126, 2740, 1132, 27, 400, 1056, 280, 706, 77, 1132, 79, 324, 8295, 44, 400, 2401, 3985, 77, 1132, 79, 280, 1133, 346, 324, 442, 1056, 291, 665, 3320, 81, 1338, 2262, 324, 442, 8616, 77, 34, 614, 8616, 77, 35, 614, 1769, 891, 30, 2069, 26, 605, 27, 291, 665, 3320, 81, 3815, 2262, 324, 706, 32, 3815, 346, 324, 2401, 3985, 32, 3815, 346, 324, 8616, 77, 34, 79, 280, 8616, 77, 35, 79, 280, 225, 34, 291, 7767, 32, 2613, 81, 1338, 280, 3320, 81, 1338, 291, 7767, 32, 2613, 81, 3815, 280, 3320, 81, 3815, 291, 442, 7767, 284, 442, 12982, 1741, 81, 1126, 203, 589, 456, 9791, 81, 2613, 26, 1449, 891, 47, 35, 34, 34, 711, 284, 665, 12982, 1741, 81, 1126, 26, 496, 81, 1126, 711, 291, 8616, 280, 428, 34, 30, 225, 34, 79, 16189, 706, 280, 2149, 291, 793, 998, 280, 18609, 346, 291, 477, 6381, 288, 7550, 32, 4071, 101, 26, 496, 81, 1126, 27, 291, 665, 7767, 2740, 1132, 711, 324, 1596, 44, 400, 1056, 280, 706, 77, 1132, 79, 400, 8616, 77, 34, 79, 1454, 225, 35, 23688, 2940, 25085, 44, 400, 8616, 77, 35, 79, 1454, 225, 35, 38042, 415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 4, 5, 6, 5, 4, 4, 6, 7, 7, 8, 7, 7, 7, 6, 6, 8, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 7, 7, 7, 6, 7, 7, 6, 7, 6, 3, 3, 4, 5, 5, 5, 7, 5, 4, 4, 6, 6, 6, 8, 9, 10, 9, 6, 6, 7, 7, 7, 7, 10, 10, 12, 14, 12, 8, 8, 11, 12, 11, 10, 10, 8, 8, 9, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 6, 6, 8, 7, 7, 8, 7, 4, 4, 6, 6, 4, 4, 7, 6, 6, 4, 4, 9, 9, 9, 8, 9, 9, 8, 9, 9, 9, 8, 5, 5, 6, 7, 9, 7, 6, 6, 8, 8, 8, 11, 11, 12, 13, 12, 9, 9, 12, 13, 12, 11, 11, 12, 8, 8, 9, 9, 9, 9, 13, 14, 13, 12, 12, 13, 10, 10, 11, 14, 15, 14, 12, 12, 13, 11, 11, 11, 13, 14, 14, 13, 13, 15, 15, 15, 18, 18, 17, 17, 18, 18, 16, 16, 17, 15, 15, 15, 17, 17, 18, 18, 17, 15, 15, 16, 18, 18, 18, 19, 18, 13, 13, 15, 16, 17, 16, 14, 14, 15, 17, 16, 17, 16, 10, 10, 13, 14, 13, 12, 12, 14, 14, 14, 16, 14, 10, 10, 12, 12, 13, 14, 13, 8, 8, 9, 9, 9, 14, 13, 14, 13, 12, 12, 14, 7, 7, 8, 4, 4, 5, 6, 6, 6, 5, 5, 7, 9, 10, 9, 8, 9, 10, 9, 8, 9, 8, 8, 10, 11, 10, 4, 4, 5, 6, 6, 6, 5, 5, 9, 10, 9, 6, 6, 10, 9, 10, 9, 6, 6, 9, 10, 9, 8, 8, 10, 11, 10, 9, 9, 10, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 6, 6, 8, 7, 7, 8, 7, 4, 4, 6, 6, 4, 4, 7, 6, 6, 8, 4, 4, 9, 9, 9, 8, 9, 9, 8, 9, 9, 9, 8, 5, 5, 6, 7, 9, 7, 6, 6, 8, 8, 8, 11, 11, 12, 13, 12, 9, 9, 12, 13, 12, 11, 11, 12, 8, 8, 9, 9, 9, 9, 13, 14, 13, 12, 12, 13, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 7, 7, 0, 8, 8, 8, 8, 0, 0, 0, 8, 3, 3, 3, 3, 3, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 9, 9, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 3, 3, 2, 4, 4, 2, 1, 1, 0, 10, 10, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 10, 10, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 3, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 3, 3, 3, 3, 0, 2, 0, 0, 0, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 5, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 5, 5, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 0, 0, 0, 1, 4, 4, 1, 4, 4, 4, 1, 1, 2, 4, 4, 0, 0, 2, 0, 1, 2, 2, 2, 1, 4, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 2, 5, 5, 0, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 8, 4, 4, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 11, 11, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 3, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 3, 3, 3, 3, 0, 2, 0, 0, 0, 2, 3, 3 ]