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
[ 465, 45977, 203, 823, 47800, 26, 687, 1729, 32, 13172, 711, 284, 665, 9336, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 4275, 30, 8644, 81, 1110, 27, 284, 665, 9843, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 4275, 30, 286, 3205, 81, 1274, 27, 203, 823, 29494, 279, 8770, 26, 687, 1729, 32, 44571, 8770, 711, 284, 665, 9336, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 784, 32, 4275, 30, 8644, 81, 1110, 5594, 34, 79, 203, 823, 29494, 279, 11717, 26, 687, 1729, 32, 44571, 11717, 711, 284, 665, 9843, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 784, 32, 4275, 30, 286, 3205, 81, 1274, 5594, 34, 79, 203, 823, 7537, 3976, 26, 13172, 30, 687, 1729, 32, 1862, 3976, 711, 284, 3097, 203, 823, 7537, 3300, 26, 13172, 30, 687, 1729, 32, 33667, 711, 284, 3097, 203, 589, 622, 1582, 3038, 2262, 284, 442, 45977, 32, 13172, 1120, 26, 291, 636, 1057, 2219, 42, 40, 36, 370, 291, 9336, 47, 13172, 922, 4434, 30, 291, 9843, 47, 13172, 922, 5460, 30, 291, 33530, 13023, 47, 44571, 8770, 30, 291, 33530, 14858, 47, 44571, 11717, 30, 291, 3443, 6308, 47, 33667, 30, 291, 3443, 7572, 47, 1862, 3976, 30, 284, 829, 203, 286, 3205, 81, 1110, 280, 45977, 32, 2682, 81, 8543, 81, 2665, 26, 3585, 26, 36, 39, 40, 490, 203, 286, 3205, 81, 1110, 32, 1877, 1371, 275, 34, 106, 34, 34, 42, 34, 44, 225, 34, 106, 34, 39, 86, 34, 30, 35438, 34, 106, 34, 34, 42, 35, 44, 225, 34, 106, 34, 39, 86, 35, 30, 35438, 34, 106, 34, 34, 42, 36, 44, 225, 34, 106, 34, 39, 86, 36, 30, 35438, 34, 106, 34, 34, 42, 37, 44, 225, 34, 106, 34, 39, 86, 37, 30, 35438, 34, 106, 34, 34, 42, 38, 44, 225, 34, 106, 34, 39, 86, 38, 30, 35438, 34, 106, 34, 34, 42, 39, 44, 225, 34, 106, 34, 39, 86, 39, 30, 35438, 34, 106, 34, 34, 42, 40, 44, 225, 34, 106, 34, 39, 86, 40, 30, 35438, 34, 106, 34, 34, 42, 41, 44, 225, 34, 106, 34, 39, 86, 41, 30, 35438, 34, 106, 34, 34, 42, 42, 44, 225, 34, 106, 34, 39, 86, 42, 30, 35438, 34, 106, 34, 34, 42, 43, 44, 225, 34, 106, 34, 39, 86, 43, 30, 35438, 34, 106, 34, 34, 42, 83, 44, 225, 34, 106, 34, 39, 1804, 30, 35438, 34, 106, 34, 34, 42, 84, 44, 225, 34, 106, 34, 39, 1199, 30, 35438, 34, 106, 34, 34, 42, 85, 44, 225, 34, 106, 34, 39, 3455, 30, 35438, 34, 106, 34, 34, 42, 86, 44, 225, 34, 106, 34, 39, 583, 30, 35438, 34, 106, 34, 34, 42, 87, 44, 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, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 4, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 6, 5, 5, 5, 6, 8, 8, 8, 8, 8, 5, 5, 6, 9, 9, 8, 5, 5, 5, 6, 9, 9, 8, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 7, 7, 7, 6, 0, 4, 4, 4, 4, 3, 4, 3, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6 ]
[ 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 3, 2, 0, 5, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 1, 4, 4, 1, 2, 1, 2, 3, 2, 0, 5, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 5, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 1, 2, 1, 0, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 5, 1, 2, 1, 0, 4, 4, 1, 2, 1, 2, 0, 0, 3, 2, 2, 2, 4, 4, 0, 5, 5, 1, 2, 1, 2, 0, 0, 3, 2, 2, 5, 5, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 2, 1, 1, 1, 5, 0, 1, 2, 1, 1, 1, 0, 7, 2, 2, 1, 1, 1, 0, 9, 2, 2, 1, 1, 1, 0, 11, 2, 1, 1, 1, 0, 13, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 5, 5, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 7, 7, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 9, 9, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 11, 11, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 13, 13, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 15, 15, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 17, 17, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 19, 19, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 21, 21, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 23, 23, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 25, 25, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 27, 27, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 29, 29, 2 ]
[ 465, 16672, 203, 465, 5237, 203, 465, 5741, 203, 465, 4125, 203, 1070, 4125, 32, 2282, 1188, 2330, 984, 30, 11540, 984, 203, 1070, 2322, 1188, 1519, 30, 13503, 30, 345, 19831, 19845, 203, 1070, 30419, 1188, 2361, 81, 1040, 203, 465, 22977, 203, 465, 12460, 203, 589, 1505, 81, 2536, 81, 12527, 26, 2536, 711, 284, 436, 296, 328, 2276, 44, 291, 415, 646, 1519, 32, 29712, 26, 88, 711, 324, 5741, 32, 24559, 440, 2023, 3751, 803, 16531, 1643, 26, 88, 490, 324, 442, 3177, 284, 442, 2933, 203, 589, 5551, 81, 5740, 26, 88, 30, 2276, 711, 284, 4684, 280, 622, 81, 1260, 81, 5740, 26, 2536, 27, 284, 436, 2830, 328, 4684, 44, 291, 1596, 44, 324, 296, 26, 2067, 27, 291, 2940, 2330, 984, 619, 1048, 44, 324, 3636, 324, 4323, 26, 35, 27, 203, 589, 622, 81, 1260, 81, 5740, 26, 2536, 711, 284, 4684, 280, 1605, 284, 436, 296, 328, 2276, 44, 291, 7299, 280, 2156, 26, 88, 30, 313, 100, 1895, 850, 346, 291, 706, 280, 2361, 81, 1040, 32, 12474, 26, 8078, 27, 291, 415, 6937, 26, 605, 30, 1149, 711, 324, 4684, 1454, 706, 291, 4348, 6937, 26, 605, 30, 5436, 711, 324, 4684, 32, 1689, 26, 605, 27, 291, 813, 44, 324, 5741, 32, 5691, 440, 3265, 803, 2149, 4142, 646, 4799, 600, 1300, 556, 1149, 432, 4684, 2296, 1643, 26, 88, 490, 284, 442, 4684, 203, 589, 22646, 81, 23361, 26, 1132, 711, 284, 2276, 280, 2181, 32, 2536, 284, 1688, 81, 761, 280, 2181, 32, 2024, 284, 415, 646, 1505, 81, 2536, 81, 12527, 26, 2536, 711, 291, 442, 284, 12742, 81, 678, 280, 301, 291, 313, 2751, 426, 563, 313, 426, 392, 291, 313, 1439, 5020, 563, 313, 5020, 392, 291, 313, 3801, 563, 313, 2310, 392, 291, 313, 10513, 23361, 563, 313, 10513, 81, 23361, 20, 284, 320, 284, 12742, 81, 1498, 26898, 280, 301, 291, 313, 42795, 563, 313, 858, 32, 978, 392, 291, 313, 28260, 563, 3177, 284, 320, 284, 22602, 81, 678, 280, 3037, 81, 314, 392, 313, 6320, 392, 313, 7101, 392, 313, 19448, 681, 392, 313, 1902, 8886, 1446, 284, 9808, 280, 622, 81, 1260, 81, 5740, 26, 2536, 27, 284, 1688, 280, 3330, 284, 665, 622, 81, 2751, 81, 426, 81, 1070, 81, 6320, 26, 23361, 30, 12497, 711, 291, 436, 3708, 328, 9808, 44, 324, 415, 3708, 32, 371, 440, 6320, 657, 610, 12497, 44, 400, 442, 3708, 32, 371, 440, 2751, 426, 657, 284, 436, 3708, 328, 9808, 44, 291, 415, 3708, 32, 371, 440, 3292, 1110, 10280, 324, 537, 81, 1110, 280, 2149, 324, 436, 12497, 30, 1929, 328, 3708, 1365, 3292, 1110, 6494, 3028, 2262, 400, 636, 280, 622, 81, 2751, 81, 426, 81, 1070, 81, 6320, 26, 23361, 30, 12497, 27, 400, 537, 81, 1110, 77, 426, 79, 280, 1929, 324, 3708, 1365, 3292, 1110, 1446, 280, 537, 81, 1110, 284, 436, 3708, 328, 9808, 44, 291, 415, 313, 3801, 20, 646, 328, 3708, 44, 324, 3708, 1365, 3801, 1446, 280, 313, 59, 3464, 6658, 3107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 3, 3, 3, 5, 6, 8, 9, 8, 9, 8, 5, 5, 9, 10, 9, 13, 13, 13, 13, 12, 11, 12, 11, 6, 6, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 5, 9, 10, 9, 5, 5, 6, 8, 7, 7, 6, 6, 6, 7, 7, 10, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 6, 6, 10, 11, 10, 10, 12, 12, 9, 8, 4, 4, 6, 6, 9, 9, 8, 9, 8, 9, 8, 4, 4, 5, 7, 8, 7, 7, 7, 5, 5, 8, 8, 5, 5, 6, 8, 9, 8, 8, 8, 6, 6, 10, 11, 10, 11, 10, 5, 5, 6, 6, 6, 10, 11, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 13, 12, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 6, 2, 2, 5, 5, 4, 4, 5, 6, 2, 2, 3, 4, 6, 6, 6, 6, 6, 7, 6, 3, 3, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 6, 5, 5, 2, 2, 5, 5, 4, 4, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 2, 2, 4, 4, 6, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 7, 10, 11, 10, 12, 12, 8, 8, 7, 7, 7, 9, 11, 12, 11, 13, 13, 13, 2, 2, 3, 3, 3, 3, 3, 3, 5, 7, 8, 7, 9, 9, 9, 5, 5, 9, 9, 8, 8, 6, 6, 7, 8, 8, 7, 7, 10, 12, 12, 12, 10, 9, 7, 7, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 12, 12, 12, 8, 8, 12, 12, 11, 12, 11, 10, 10, 6, 6, 9, 11, 11, 11, 8, 8, 9, 9, 2, 2, 3, 3, 3, 3, 3, 3, 5, 8, 8, 6, 6, 6, 5, 5, 5, 9, 11, 11, 8, 8, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 4, 4, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 4, 4, 1, 0, 10, 10, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 4, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 2, 2, 5, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 2, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 1, 2, 7, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 4, 4, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 9, 9, 9, 9, 9, 9, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 0, 0, 0, 3, 3, 0, 1, 1, 2, 0, 0, 2, 2, 4, 4, 10, 10, 10, 10, 10, 10, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1 ]
[ 465, 5237, 30, 2322, 203, 9081, 280, 1605, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 2250, 280, 1044, 25, 2526, 3694, 25, 203, 11794, 280, 1044, 25, 36, 34, 35, 35, 30, 9077, 266, 559, 504, 18532, 30, 551, 1945, 97, 9148, 13733, 902, 297, 25, 203, 1648, 280, 330, 35, 32, 34, 32, 34, 25, 203, 3779, 280, 330, 35, 32, 34, 32, 34, 25, 203, 10444, 81, 15719, 280, 2107, 81, 1832, 785, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 916, 81, 4661, 280, 330, 1536, 25, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 4756, 81, 15705, 280, 330, 2526, 69, 42634, 15393, 25, 203, 24189, 81, 7594, 280, 301, 203, 111, 203, 24189, 81, 17274, 280, 428, 334, 2726, 1055, 370, 330, 2526, 3694, 32, 8581, 370, 1044, 25, 2526, 3694, 12217, 370, 664, 1044, 25, 12584, 266, 559, 504, 18532, 30, 551, 1945, 97, 9148, 13733, 902, 297, 370, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 428, 284, 2726, 1055, 370, 330, 1260, 3968, 370, 1044, 25, 2526, 3694, 12217, 370, 275, 428, 103, 25, 12584, 266, 559, 504, 18532, 30, 551, 1945, 97, 9148, 13733, 902, 297, 2188, 225, 35, 27, 203, 79, 203, 8581, 1338, 81, 17274, 280, 428, 334, 2726, 1055, 370, 330, 2526, 3694, 370, 1044, 25, 2526, 3694, 12217, 370, 1044, 25, 12584, 266, 559, 504, 18532, 30, 551, 1945, 97, 9148, 13733, 902, 297, 370, 664, 330, 2526, 3694, 370, 330, 3582, 1628, 3048, 432, 2074, 6418, 330, 6417, 36786, 1425, 203, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 5, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 9, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 5237, 30, 2322, 30, 15798, 203, 325, 429, 35, 863, 5237, 32, 983, 77, 34, 997, 1809, 463, 978, 3685, 36, 31, 2590, 7831, 13225, 3268, 463, 6574, 16144, 5554, 18099, 3362, 645, 313, 978, 3685, 36, 31, 2590, 20, 372, 313, 978, 3685, 36, 20, 683, 203, 325, 2322, 32, 983, 32, 2524, 26, 3731, 32, 983, 77, 34, 21550, 3731, 32, 983, 77, 34, 997, 100, 1809, 26, 500, 32, 12595, 14155, 31001, 683, 646, 328, 5237, 32, 983, 44, 284, 5237, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 3731, 32, 983, 77, 34, 21550, 3731, 32, 983, 77, 34, 997, 100, 1809, 26, 500, 32, 12595, 14155, 31001, 2847, 203, 465, 3619, 3685, 36, 203, 465, 6436, 203, 10337, 32, 277, 391, 100, 26, 464, 47, 330, 3617, 683, 203, 823, 2108, 8367, 10905, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 3457, 81, 6266, 26, 784, 711, 291, 5615, 280, 3619, 3685, 36, 32, 8367, 10905, 32, 3457, 81, 6266, 463, 48644, 370, 330, 687, 558, 683, 291, 4159, 26838, 280, 330, 3457, 25, 291, 630, 32, 5299, 26, 3890, 32, 4424, 30, 4159, 26838, 27, 291, 23332, 26838, 280, 330, 3457, 25, 291, 630, 32, 5299, 26, 3890, 32, 10509, 30, 23332, 26838, 27, 291, 894, 1261, 280, 6436, 32, 955, 2009, 35, 32, 34, 1130, 291, 786, 26838, 280, 6436, 32, 955, 2009, 35, 32, 34, 1130, 291, 630, 32, 5299, 26, 3890, 32, 853, 26, 858, 1261, 471, 786, 26838, 27, 284, 665, 894, 81, 8776, 48472, 81, 6266, 26, 784, 711, 291, 5615, 280, 3619, 3685, 36, 32, 8367, 10905, 32, 8776, 48472, 81, 6266, 463, 48644, 370, 330, 687, 558, 683, 291, 4159, 26838, 280, 330, 7708, 26, 48644, 9905, 291, 630, 32, 5299, 26, 3890, 32, 4424, 30, 4159, 26838, 27, 291, 23332, 26838, 280, 330, 7708, 26, 687, 558, 9905, 291, 630, 32, 5299, 26, 3890, 32, 10509, 30, 23332, 26838, 27, 291, 894, 1261, 280, 6436, 32, 955, 2009, 35, 32, 34, 1130, 291, 786, 26838, 280, 6436, 32, 282, 288, 278, 26, 35, 32, 34, 27, 291, 630, 32, 5299, 26, 3890, 32, 853, 26, 858, 1261, 471, 786, 26838, 27, 284, 665, 894, 81, 6768, 81, 17152, 3582, 81, 6266, 26, 784, 711, 291, 5615, 280, 3619, 3685, 36, 32, 8367, 10905, 32, 6768, 6266, 463, 48644, 370, 330, 687, 558, 370, 7169, 652, 1057, 31, 35, 32, 34, 370, 1245, 5260, 47, 2700, 27, 291, 4159, 26838, 280, 330, 48644, 46, 5540, 13119, 35, 32, 34, 377, 5540, 6457, 291, 630, 32, 5299, 26, 3890, 32, 4424, 30, 4159, 26838, 27, 291, 23332, 26838, 280, 330, 7527, 26, 687, 558, 30, 429, 35, 32, 34, 9905, 291, 630, 32, 5299, 26, 3890, 32, 10509, 30, 23332, 26838, 27, 291, 894, 1261, 280, 6436, 32, 955, 2009, 35, 32, 39, 1130, 291, 786, 26838, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 4, 2, 2, 6, 7, 5, 6, 5, 5, 4, 6, 6, 6, 6, 6, 6, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 11, 10, 11, 9, 10, 9, 9, 9, 8, 10, 9, 10, 8, 4, 6, 2, 2, 2, 3, 4, 1, 1, 1, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 14, 13, 14, 12, 13, 12, 12, 12, 11, 13, 12, 13, 11, 7, 9, 0, 1, 1, 3, 3, 0, 1, 1, 0, 4, 3, 4, 4, 4, 3, 5, 4, 4, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 9, 10, 10, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 4, 4, 7, 6, 6, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 4, 4, 7, 6, 6, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 9, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 10, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 9, 10, 10, 8, 9, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 4, 4, 7, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 9, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 10, 9, 10, 9, 10, 10, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 9, 10, 10, 8, 9, 9, 8, 10, 10, 8, 10, 10, 10, 8, 10, 9, 11, 11, 11, 11, 11, 8, 10, 9, 10, 8, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 9, 4, 4, 7, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 5, 5, 5, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 9, 9, 1, 1, 2, 0, 1, 2, 2, 9, 9, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 5, 1, 1, 1, 1, 2, 1, 0, 7, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0 ]
[ 465, 15798, 203, 1070, 28520, 32, 26801, 32, 2304, 32, 15097, 1188, 3185, 81, 2468, 203, 823, 2108, 4480, 2438, 26, 18986, 32, 7233, 711, 284, 3312, 280, 301, 291, 330, 35, 43, 36, 32, 34, 32, 36, 32, 37, 950, 2107, 35, 43, 36, 32, 34, 32, 36, 32, 37, 370, 1665, 614, 291, 330, 35, 43, 36, 32, 34, 32, 36, 32, 37, 44, 36, 37, 950, 2107, 35, 43, 36, 32, 34, 32, 36, 32, 37, 370, 225, 36, 37, 614, 291, 45242, 950, 2107, 403, 370, 1665, 614, 291, 45242, 35, 950, 2107, 403, 35, 370, 1665, 614, 291, 13198, 403, 35, 2786, 38, 38, 36, 950, 2107, 403, 35, 370, 225, 38, 38, 36, 614, 291, 330, 34439, 44, 2312, 43, 42, 44, 41, 40, 39, 38, 44, 37, 36, 35, 34, 44, 34439, 44, 2312, 43, 42, 44, 41, 40, 39, 38, 44, 37, 36, 35, 34, 950, 2107, 34439, 44, 2312, 43, 42, 44, 41, 40, 39, 38, 44, 37, 36, 35, 34, 44, 34439, 44, 2312, 43, 42, 44, 41, 40, 39, 38, 44, 37, 36, 35, 34, 370, 1665, 614, 291, 13198, 34439, 44, 2312, 43, 42, 44, 41, 40, 39, 38, 44, 37, 36, 35, 34, 44, 34439, 44, 2312, 43, 42, 44, 41, 40, 39, 38, 44, 37, 36, 35, 34, 2786, 38, 36, 950, 2107, 34439, 44, 2312, 43, 42, 44, 41, 40, 39, 38, 44, 37, 36, 35, 34, 44, 34439, 44, 2312, 43, 42, 44, 41, 40, 39, 38, 44, 37, 36, 35, 34, 370, 225, 38, 36, 614, 291, 330, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 44, 589, 34, 44, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 44, 589, 34, 950, 2107, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 44, 589, 34, 44, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 44, 589, 34, 370, 1665, 614, 291, 330, 35, 36, 37, 38, 403, 43, 8183, 44, 589, 34, 44, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 44, 589, 34, 950, 2107, 35, 36, 37, 38, 403, 43, 8183, 44, 589, 34, 44, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 44, 589, 34, 370, 1665, 614, 291, 330, 35, 36, 37, 38, 44, 39, 40, 41, 42, 403, 589, 34, 44, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 44, 589, 34, 950, 2107, 35, 36, 37, 38, 44, 39, 40, 41, 42, 403, 589, 34, 44, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 44, 589, 34, 370, 1665, 614, 291, 330, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 403, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 44, 589, 34, 950, 2107, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 403, 35, 36, 37, 38, 44, 39, 40, 41, 42, 44, 43, 8183, 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 ]
[ 2, 2, 1, 2, 2, 3, 4, 3, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 2, 2, 5, 5, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 6, 6, 9, 7, 10, 10, 8, 8, 6, 6, 9, 9, 7, 10, 10, 10, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 10, 8, 9, 9, 9, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 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, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 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, 8, 9, 9, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 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, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 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, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 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, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 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 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 5, 1, 2, 2, 2, 2, 2, 1, 2, 7, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 2, 2, 3, 3, 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, 2, 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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 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, 2, 15, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 2, 19, 1, 1, 1, 1, 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, 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, 2, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 465, 316, 203, 1070, 28520, 1188, 12388, 619, 390, 203, 1070, 9991, 32, 8524, 1188, 15798, 203, 1070, 9991, 32, 8524, 32, 3613, 1188, 7841, 30, 25864, 3660, 30, 4395, 81, 1676, 203, 1070, 28520, 32, 4275, 1188, 35603, 924, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 25931, 1188, 1344, 81, 681, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 25931, 32, 21332, 1188, 787, 1909, 81, 7345, 30, 49093, 203, 1070, 28520, 32, 1647, 81, 2304, 1114, 878, 1188, 372, 81, 3651, 203, 1070, 28520, 32, 48646, 32, 1066, 81, 1819, 1188, 11761, 1222, 203, 1070, 28520, 32, 5558, 32, 1141, 1188, 5245, 1761, 203, 1070, 28520, 32, 2387, 1188, 5969, 4043, 203, 1070, 28520, 32, 6862, 32, 6008, 1188, 5063, 81, 37261, 203, 1070, 9991, 32, 3613, 32, 4554, 1188, 14580, 34458, 203, 2958, 81, 1647, 81, 268, 5277, 483, 280, 3203, 2993, 203, 8756, 3381, 33, 1771, 33, 2958, 203, 21, 37632, 14507, 81, 4530, 280, 24417, 37632, 14507, 81, 4530, 2005, 20, 203, 21, 9856, 81, 42231, 81, 12896, 280, 24417, 8569, 81, 37632, 14507, 81, 9856, 81, 42231, 81, 12896, 2005, 20, 203, 21, 807, 32351, 81, 33591, 81, 6883, 347, 3571, 807, 32351, 81, 33591, 81, 3539, 40870, 2005, 20, 203, 858, 280, 1044, 25, 70, 13821, 716, 766, 103, 37, 34, 38, 88, 78, 103, 37, 34, 42, 43, 78, 103, 37, 34, 40, 42, 78, 103, 37, 34, 41, 88, 25, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 6390, 1188, 319, 203, 2993, 203, 12876, 81, 1647, 81, 268, 5277, 483, 280, 323, 2993, 203, 26499, 81, 12896, 280, 24417, 8569, 81, 37632, 14507, 81, 9856, 81, 3265, 81, 12896, 2005, 20, 203, 21, 5268, 73, 9135, 1675, 3199, 81, 22116, 203, 2993, 203, 823, 37470, 1711, 1761, 26, 1711, 1761, 711, 284, 43128, 8915, 69, 81, 14137, 280, 3177, 284, 665, 1420, 26, 784, 30, 3691, 47, 2521, 30, 2899, 81, 6862, 47, 2521, 711, 291, 442, 2599, 26, 21868, 1711, 1761, 30, 630, 547, 1945, 26, 2868, 47, 2868, 30, 2899, 81, 6862, 47, 2795, 81, 6862, 27, 203, 823, 2108, 1711, 1761, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1141, 81, 1439, 81, 1945, 26, 784, 711, 291, 4395, 81, 2795, 280, 25864, 3660, 346, 291, 4395, 81, 2795, 32, 1141, 280, 313, 3986, 20, 291, 4395, 81, 2795, 32, 1132, 280, 5436, 26, 83, 47, 35, 30, 323, 47, 36, 30, 281, 47, 37, 27, 291, 4395, 81, 3841, 280, 25864, 3660, 346, 291, 4654, 81, 1819, 280, 11761, 1222, 346, 291, 4395, 81, 2795, 32, 4396, 81, 695, 280, 1665, 291, 2125, 81, 1439, 280, 37470, 1711, 1761, 26, 3613, 81, 2795, 30, 4395, 81, 3841, 30, 4654, 81, 1819, 30, 1665, 30, 1665, 30, 1665, 27, 291, 3276, 280, 2125, 81, 1439, 32, 1945, 346, 291, 630, 32, 5299, 26, 4295, 30, 5436, 1157, 291, 4395, 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 ]
[ 2, 2, 2, 2, 2, 2, 4, 4, 4, 2, 2, 2, 2, 4, 4, 2, 1, 4, 4, 4, 4, 3, 3, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 4, 2, 2, 1, 2, 2, 3, 4, 3, 4, 2, 2, 2, 2, 4, 2, 2, 4, 4, 1, 2, 2, 3, 4, 2, 2, 4, 1, 2, 2, 3, 4, 4, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 3, 4, 4, 4, 3, 4, 3, 4, 2, 2, 4, 4, 4, 2, 2, 1, 2, 2, 3, 4, 4, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 3, 4, 3, 4, 4, 4, 2, 2, 4, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 1, 2, 2, 3, 4, 2, 2, 4, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 1, 4, 4, 4, 4, 4, 4, 4, 3, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 4, 4, 4, 4, 4, 4, 4, 3, 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, 1, 2, 2, 3, 3, 3, 4, 4, 3, 2, 2, 6, 6, 6, 6, 5, 5, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 5, 7, 7, 6, 7, 5, 4, 4, 6, 10, 11, 11, 11, 10, 10, 10, 9, 8, 10, 9, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 1, 2, 2, 3, 3, 3, 5, 4, 5, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 9, 5, 5, 9, 9, 8, 9, 7, 7, 9, 9, 5, 5, 9, 9, 8, 9, 7, 7, 9, 11, 10, 11, 9, 9, 10, 11, 9, 9, 10, 11, 9, 5, 5, 8, 8, 7, 7, 9, 9, 5, 5, 8, 8, 7, 7, 9, 9, 5, 5, 9, 9, 8, 9, 9, 9, 7, 7, 5, 5, 8, 8, 7, 7, 9, 9, 9, 10, 10, 10, 9, 9, 10, 10, 9, 9, 10, 10, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 7, 10, 10, 9, 10, 9, 5, 5, 8, 9, 8, 9, 8, 8, 10, 5, 5, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 3, 3, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 0, 8, 8, 1, 2, 2, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 2, 2, 1, 4, 1, 6, 9, 9, 0, 0, 0, 9, 9, 0, 10, 10, 1, 2, 2, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 4, 4, 11, 11, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 13, 13, 1, 2, 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, 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, 2, 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, 2, 0, 18, 18, 1, 1, 2, 1, 1, 2, 18, 18, 0, 0, 0, 0, 0, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 5, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 0, 19, 19, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0 ]
[ 465, 25405, 203, 3553, 280, 308, 284, 2884, 867, 387, 392, 313, 4620, 4428, 81, 12550, 53, 81, 13195, 81, 29756, 1737, 3848, 30, 62, 35, 30, 62, 36, 30, 62, 37, 3753, 529, 1549, 37, 81, 282, 90, 387, 82, 2723, 225, 35, 45, 2113, 284, 2884, 668, 81, 520, 297, 392, 2993, 1613, 477, 56, 36665, 81, 779, 13640, 56, 36665, 81, 779, 619, 506, 36665, 81, 779, 30, 477, 65, 1164, 69, 81, 779, 13640, 65, 1164, 69, 81, 779, 619, 546, 1164, 69, 81, 779, 30, 546, 32, 2950, 5455, 30, 546, 32, 567, 3848, 30, 570, 37, 30, 570, 39, 30, 546, 32, 57, 41, 30, 570, 38, 40, 3753, 529, 1549, 37, 81, 520, 297, 82, 546, 17789, 13039, 529, 1549, 1840, 81, 520, 297, 82, 337, 544, 26, 97, 32, 65, 1164, 69, 81, 779, 47, 65, 32, 61, 5455, 27, 18147, 2767, 27, 101, 2082, 1010, 2113, 284, 2884, 88, 6257, 392, 2993, 1613, 506, 36665, 81, 779, 30, 506, 32, 11988, 5455, 30, 56, 32, 56, 2474, 30, 51, 35, 30, 51, 39, 30, 51, 41, 30, 51, 43, 3753, 529, 1549, 1840, 81, 88, 6257, 81, 3731, 82, 296, 17789, 13039, 529, 1549, 37, 81, 88, 6257, 82, 225, 506, 544, 26, 56, 32, 61, 5455, 47, 88, 32, 56, 36665, 81, 779, 27, 4998, 1224, 5455, 23375, 56, 36665, 81, 779, 2723, 225, 35, 45, 1010, 2113, 284, 2884, 13141, 392, 1524, 1613, 225, 506, 36665, 37, 25724, 53, 36, 619, 3610, 81, 426, 30, 88, 6257, 32, 11988, 5455, 30, 56, 36665, 81, 779, 3753, 529, 1549, 37, 81, 88, 6257, 37, 82, 17789, 13039, 529, 1549, 1840, 81, 88, 6257, 82, 544, 308, 56, 36665, 81, 779, 47, 56, 36665, 27, 4998, 506, 36665, 23375, 56, 36665, 81, 779, 17076, 6936, 44740, 5455, 30, 53, 35, 21727, 45, 1524, 471, 284, 2884, 4597, 81, 3060, 388, 19845, 392, 2993, 1613, 2385, 26, 35, 27, 14076, 30, 1818, 65, 645, 354, 81, 3731, 4998, 546, 1164, 69, 23375, 65, 1164, 69, 81, 779, 2350, 810, 12373, 45, 1010, 2113, 203, 27, 203, 13195, 81, 29756, 280, 2933, 203, 7789, 280, 313, 2245, 81, 88, 6257, 20, 203, 7789, 81, 9857, 280, 3778, 2245, 81, 668, 81, 286, 315, 1681, 20, 203, 7789, 81, 3705, 6438, 47, 1665, 203, 74, 3898, 81, 17143, 280, 313, 605, 33, 1549, 31, 1840, 31, 3060, 388, 19845, 32, 13079, 20, 203, 8055, 280, 3447, 62, 38, 563, 8820, 32, 2682, 81, 466, 81, 39111, 30, 320, 203, 16995, 280, 2884, 65, 1164, 69, 81, 779, 392, 829, 203, 7597, 280, 1665, 203, 13777, 347, 4087, 5680, 21459, 1266, 10116, 3852, 3696, 33383, 5342, 8619, 3852, 5428, 9727, 1268, 25467, 22100, 1266, 20, 203, 9572, 347, 15347, 10965, 3286, 13028, 3601, 48142, 6632, 5342, 8619, 20, 203, 9349, 280, 1665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 3, 2, 2, 3, 3, 6, 6, 6, 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, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 3, 3, 0, 3, 2, 2, 5, 5, 5, 5, 5, 5, 3, 0, 3, 2, 2, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 2, 2, 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, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 2, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 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, 0, 0, 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 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 30, 20654, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 8524, 1188, 308, 284, 8248, 81, 466, 30, 284, 8248, 81, 39145, 30, 203, 27, 203, 1070, 4377, 2304, 1188, 308, 284, 9921, 81, 407, 30, 284, 1897, 81, 271, 81, 4108, 30, 284, 629, 81, 271, 81, 4108, 30, 284, 3185, 81, 381, 81, 3248, 30, 284, 3185, 81, 6932, 30, 284, 15218, 271, 924, 203, 27, 203, 823, 16155, 459, 274, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 25, 18470, 2446, 459, 274, 24862, 641, 49, 555, 18470, 18470, 1499, 110, 95, 5421, 32, 6505, 2446, 459, 274, 8169, 508, 13824, 2805, 17113, 19323, 86, 20737, 8666, 2805, 12456, 33, 6155, 4242, 29, 490, 12390, 66, 46, 314, 5213, 86, 29, 9905, 284, 617, 3765, 280, 301, 291, 330, 965, 950, 330, 641, 555, 1499, 32, 2446, 459, 274, 32, 508, 33, 363, 5148, 1804, 33, 36, 39, 34, 36, 37, 38, 37, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 36, 39, 34, 36, 37, 38, 37, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 12915, 886, 47788, 370, 324, 330, 2310, 950, 330, 954, 39, 44, 86, 36, 84, 42, 1173, 42, 35, 40, 39, 41, 43, 3633, 42, 83, 41, 3589, 36, 42, 84, 5672, 42, 369, 3499, 42, 83, 370, 324, 330, 6932, 950, 225, 36, 39, 42, 37, 30, 324, 330, 1071, 81, 998, 950, 629, 30, 324, 330, 14298, 81, 11619, 950, 225, 34, 30, 324, 330, 381, 81, 3248, 950, 225, 35, 38, 30, 324, 330, 28195, 950, 330, 1711, 30, 36199, 31, 13069, 370, 324, 330, 16417, 950, 330, 1934, 278, 1224, 290, 3748, 265, 370, 324, 330, 12278, 950, 330, 19223, 450, 677, 20701, 937, 390, 46593, 30, 48515, 358, 271, 713, 30, 498, 13629, 559, 107, 493, 30, 25439, 83, 3278, 365, 30, 39152, 677, 393, 14916, 624, 362, 1225, 370, 324, 330, 3779, 81, 4548, 950, 225, 36, 34, 34, 34, 30, 324, 330, 8442, 950, 330, 2185, 5148, 1804, 370, 324, 330, 20053, 950, 330, 12915, 886, 47788, 370, 324, 330, 26990, 81, 2171, 950, 225, 35, 30, 324, 330, 20053, 81, 2171, 950, 225, 35, 30, 291, 801, 291, 330, 2132, 950, 301, 324, 330, 5961, 81, 4984, 950, 2933, 30, 291, 320, 284, 320, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 711, 291, 6027, 81, 314, 280, 630, 1114, 2872, 81, 314, 26, 965, 27, 291, 10769, 81, 687, 280, 630, 1114, 47219, 32, 2132, 32, 371, 463, 8512, 81, 48839, 81, 7035, 370, 1665, 27, 291, 24401, 280, 428, 7035, 81, 687, 79, 415, 10769, 81, 687, 813, 308, 324, 330, 2045, 370, 330, 10046, 370, 330, 4019, 370, 330, 1099, 370, 330, 15495, 370, 330, 11440, 370, 330, 1456, 370, 330, 2978, 370, 330, 24485, 370, 330, 26700, 370, 330, 11276, 683, 291, 2401, 81, 87, 280, 1665, 291, 436, 10769, 328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 10, 8, 9, 7, 7, 7, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 7, 7, 7, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 10, 11, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 8, 4, 4, 6, 6, 9, 9, 9, 8, 7, 7, 8, 8, 7, 7, 8, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 8, 10, 10, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 2, 2, 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, 2, 2, 2, 1, 2, 9, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 11, 2, 2, 2, 1, 1, 1, 2, 13, 2, 2, 2, 2, 1, 1, 1, 2, 15, 2, 2, 2, 2, 2, 1, 2, 17, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 19, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 23, 2, 2, 2, 2, 2, 2, 2, 1, 2, 25, 1, 1, 1, 2, 2, 2, 1, 2, 27, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 29, 2, 2, 2, 2, 1, 1, 1, 2, 31, 2, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 42408, 32, 1262, 32, 15260, 1188, 26926, 1316, 30, 11736, 1316, 81, 823, 30, 1628, 81, 15260, 203, 1070, 42408, 32, 2304, 32, 8447, 1188, 17161, 203, 1070, 42408, 32, 2304, 32, 978, 37, 8524, 1188, 596, 81, 452, 81, 9941, 203, 50, 10449, 1316, 81, 823, 203, 823, 23010, 18528, 1316, 26, 18528, 1316, 711, 284, 477, 928, 81, 15260, 284, 665, 1245, 1366, 26, 784, 30, 3395, 81, 101, 1057, 7831, 291, 6410, 30, 568, 280, 630, 32, 2208, 81, 2184, 26, 5609, 81, 101, 1947, 373, 683, 291, 1245, 81, 2024, 280, 330, 97, 25, 328, 6410, 291, 1245, 81, 1294, 81, 1131, 280, 330, 100, 25, 328, 6410, 291, 6341, 280, 330, 102, 25, 328, 6410, 291, 4082, 280, 630, 32, 7883, 32, 4073, 291, 415, 880, 44, 324, 1596, 44, 400, 1245, 10555, 30, 751, 2816, 280, 880, 32, 2998, 346, 324, 2940, 44, 400, 1245, 10555, 280, 880, 400, 1245, 2816, 280, 330, 10181, 25, 291, 813, 44, 324, 1245, 10555, 280, 4082, 32, 751, 10555, 324, 1245, 2816, 280, 4082, 32, 751, 2816, 291, 3610, 81, 38364, 280, 630, 32, 7883, 32, 38364, 291, 415, 1245, 10555, 44, 324, 1245, 10555, 280, 2322, 32, 983, 32, 8931, 496, 26, 751, 10555, 27, 291, 630, 32, 7883, 32, 38364, 280, 1245, 10555, 291, 1245, 1816, 280, 1044, 44916, 42408, 1245, 803, 78, 96, 78, 96, 25, 291, 1596, 44, 324, 4082, 32, 751, 1366, 26, 751, 10555, 30, 1245, 1816, 30, 1245, 2816, 30, 1245, 81, 2024, 30, 6341, 30, 1014, 1245, 81, 1294, 81, 1131, 27, 291, 2940, 44, 324, 630, 32, 7883, 32, 38364, 280, 3610, 81, 38364, 324, 17161, 440, 29888, 1330, 1477, 1245, 44, 904, 101, 20, 904, 5237, 32, 14806, 81, 1338, 8532, 35, 1130, 291, 813, 44, 324, 415, 6341, 44, 400, 4082, 32, 5561, 280, 3177, 324, 415, 1245, 81, 1294, 81, 1131, 44, 400, 1509, 81, 15002, 280, 630, 32, 7883, 32, 6446, 81, 4018, 32, 1131, 81, 15002, 81, 1294, 324, 813, 44, 400, 1509, 81, 15002, 280, 630, 32, 7883, 32, 6446, 81, 4018, 32, 1131, 81, 15002, 81, 12881, 324, 415, 1245, 81, 2024, 44, 400, 1245, 81, 1821, 280, 4082, 32, 751, 81, 1821, 400, 1688, 81, 15002, 280, 630, 32, 7883, 32, 6446, 81, 4018, 32, 2024, 81, 15002, 400, 436, 310, 328, 2155, 26, 35, 30, 1657, 26, 1131, 81, 15002, 7824, 35, 711, 528, 1245, 81, 1821, 26, 1131, 81, 15002, 77, 96, 997, 38848, 346, 474, 1044, 10255, 96, 683, 528, 415, 310, 328, 1688, 81, 15002, 44, 715, 1245, 81, 1821, 26, 466, 81, 452, 81, 9941, 26, 13707, 26, 2024, 81, 15002, 77, 96, 29485, 25, 2024, 683, 324, 813, 44, 400, 4082, 32, 751, 81, 1821, 26, 103, 10255, 96, 2473, 2524, 26, 1131, 81, 15002, 77, 35, 44, 5259, 400, 4082, 32, 751, 81, 1821, 26, 103, 10255, 96, 683, 324, 415, 6341, 44, 400, 4082, 32, 5561, 280, 2933, 324, 1459, 2726, 7952, 1741, 2267, 31, 7490, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 2, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 4, 3, 2, 2, 6, 6, 6, 4, 4, 5, 6, 6, 7, 6, 6, 8, 8, 7, 9, 5, 5, 9, 10, 8, 8, 10, 11, 11, 11, 10, 11, 11, 11, 10, 12, 12, 6, 6, 9, 9, 8, 8, 11, 11, 9, 9, 6, 6, 9, 9, 9, 9, 8, 8, 11, 11, 9, 9, 6, 6, 8, 8, 11, 11, 9, 9, 6, 6, 8, 8, 10, 11, 9, 10, 6, 6, 7, 7, 7, 7, 9, 9, 9, 14, 13, 14, 14, 12, 12, 14, 15, 14, 9, 9, 10, 10, 10, 14, 13, 13, 11, 11, 14, 13, 13, 15, 15, 7, 7, 8, 8, 8, 12, 11, 11, 12, 13, 13, 9, 9, 12, 11, 11, 12, 13, 13, 6, 6, 9, 9, 8, 8, 10, 11, 9, 10, 6, 6, 7, 8, 7, 7, 7, 11, 10, 10, 13, 14, 12, 13, 13, 12, 13, 13, 12, 6, 6, 10, 11, 9, 10, 8, 8, 9, 6, 6, 9, 8, 8, 10, 10, 10, 10, 11, 11, 11, 11, 10, 6, 6, 7, 7, 7, 11, 12, 12, 11, 12, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 12, 11, 11, 11, 11, 11, 12, 12, 12, 12, 11, 7, 7, 8, 8, 8, 13, 14, 12, 13, 11, 11, 12, 12, 9, 9, 12, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 16, 17, 17, 17, 16, 15, 14, 7, 7, 8, 8, 8, 10, 10, 10, 10, 14, 15, 13, 13, 9, 9, 10, 11, 11, 11, 11, 10, 10, 10, 14, 14, 13, 13, 16, 17, 15, 16, 16, 16, 14, 15, 15, 15, 15, 15, 10, 10, 11, 11, 11, 15, 15, 14, 14, 17, 18, 16, 17, 17, 17, 15, 16, 16, 16, 16, 16, 9, 9, 10, 11, 11, 10, 10, 10, 14, 14, 13, 13, 14, 15, 15, 15, 11, 11, 14, 14, 13, 13, 16, 17, 15, 16, 16, 16, 14, 15, 15, 15, 11, 11, 12, 12, 12, 14, 15, 14, 17, 17, 18, 18, 18, 17, 16, 14, 12, 12, 16, 16, 16, 21, 21, 21, 20, 21, 20, 20, 19, 17, 17, 19, 20, 19, 13, 13, 14, 15, 15, 16, 16, 14, 14, 14, 18, 18, 18, 20, 20, 20, 20, 20, 20, 22, 22, 24, 24, 24, 23, 24, 23, 20, 20, 20, 10, 10, 11, 11, 11, 15, 16, 16, 16, 15, 19, 19, 20, 19, 18, 17, 19, 19, 19, 18, 20, 19, 18, 12, 12, 15, 16, 16, 16, 15, 17, 17, 18, 17, 9, 9, 10, 10, 10, 10, 14, 15, 13, 13, 9, 9, 11, 15, 15, 15, 15, 15, 15 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 5, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 3, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 5, 5, 5, 5, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 3, 3, 3, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 5, 5, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 7, 1, 7, 7, 7, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 4, 4, 10, 10, 10, 0, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 1, 1, 1, 1, 1, 11, 11, 11, 11, 1, 10, 10, 3, 3, 3, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 10, 10, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 5, 5, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 4, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 3, 3, 3, 3, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 1070, 2417, 2304, 1188, 17161, 203, 823, 617, 2359, 12506, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3203, 1907, 30, 1133, 47, 1815, 30, 8621, 47, 2700, 30, 1963, 1632, 47, 1815, 30, 353, 42410, 47, 2700, 711, 291, 630, 32, 14010, 280, 3203, 1907, 291, 630, 32, 21707, 280, 630, 32, 14010, 77, 34, 79, 16189, 6496, 280, 428, 25833, 1114, 5571, 436, 32055, 328, 3203, 1907, 79, 291, 415, 1133, 461, 646, 1169, 26, 2356, 32, 35502, 26, 106, 30, 6496, 77, 34, 1130, 436, 816, 328, 6496, 711, 324, 17161, 463, 49002, 32, 5571, 745, 646, 2530, 30, 646, 25468, 1133, 683, 324, 1133, 280, 3177, 291, 415, 8621, 44, 324, 630, 32, 1204, 81, 7199, 11646, 346, 291, 415, 1133, 44, 324, 630, 32, 1204, 81, 12035, 26, 400, 636, 347, 1003, 392, 400, 3309, 47, 784, 32, 470, 81, 1003, 81, 1493, 30, 400, 7060, 81, 681, 347, 853, 3650, 392, 324, 829, 324, 630, 32, 1204, 81, 12035, 26, 400, 636, 347, 39033, 81, 7670, 392, 400, 3309, 47, 784, 32, 470, 81, 39033, 81, 7670, 30, 400, 7060, 81, 681, 347, 853, 3650, 392, 324, 829, 324, 630, 32, 1204, 81, 12035, 26, 400, 636, 347, 1066, 392, 400, 3309, 47, 784, 32, 4645, 81, 39033, 30, 400, 7060, 81, 681, 347, 34326, 392, 400, 6885, 47, 1815, 30, 324, 829, 324, 665, 617, 1003, 81, 1298, 2740, 1132, 30, 1115, 5321, 711, 400, 436, 32055, 328, 630, 32, 14010, 44, 528, 32055, 32, 18931, 1365, 1003, 36315, 28, 1132, 30, 1115, 5321, 27, 324, 436, 32055, 328, 630, 32, 14010, 44, 400, 415, 32055, 32, 2245, 81, 36760, 44, 528, 32055, 32, 23491, 81, 8031, 32, 1003, 81, 1298, 280, 617, 1003, 81, 1298, 291, 415, 42410, 44, 324, 665, 617, 1298, 81, 669, 2740, 1132, 30, 1115, 5321, 711, 400, 436, 32055, 328, 630, 32, 14010, 44, 528, 32055, 1114, 669, 81, 9309, 81, 23610, 36, 2740, 1132, 30, 1115, 5321, 27, 528, 32055, 32, 3399, 391, 32, 1877, 346, 324, 665, 617, 1298, 81, 2546, 2740, 1132, 30, 1115, 5321, 711, 400, 436, 32055, 328, 630, 32, 14010, 44, 528, 32055, 1114, 2546, 81, 9309, 81, 23610, 36, 2740, 1132, 30, 1115, 5321, 27, 324, 2815, 81, 3953, 280, 5436, 346, 324, 436, 938, 4537, 328, 2726, 15227, 370, 330, 17089, 7831, 400, 2815, 81, 3953, 77, 292, 4537, 79, 280, 739, 346, 400, 436, 32055, 328, 630, 32, 14010, 44, 528, 2815, 81, 3953, 77, 292, 4537, 79, 6592, 766, 715, 739, 26, 25833, 32, 8800, 318, 81, 3953, 77, 292, 4537, 1130, 324, 436, 32055, 328, 630, 32, 14010, 44, 400, 32055, 32, 3815, 81, 23610, 101, 346, 400, 32055, 1114, 669, 81, 9309, 81, 23610, 36, 280, 32055, 1114, 669, 81, 9309, 81, 23610, 400, 32055, 1114, 669, 81, 9309, 81, 23610, 280, 617, 1298, 81, 669, 400, 32055, 1114, 2546, 81, 9309, 81, 23610, 36, 280, 32055, 1114, 2546, 81, 9309, 81, 23610, 400, 32055, 1114, 2546, 81, 9309, 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, 4, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 7, 4, 4, 6, 6, 9, 8, 9, 7, 8, 8, 8, 9, 7, 4, 4, 5, 6, 6, 7, 9, 12, 11, 12, 11, 12, 11, 11, 12, 13, 12, 9, 10, 10, 10, 9, 5, 5, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 8, 8, 4, 4, 5, 5, 5, 5, 9, 10, 10, 10, 10, 9, 4, 4, 5, 5, 5, 5, 9, 10, 10, 10, 9, 9, 9, 10, 12, 12, 9, 9, 10, 12, 11, 12, 12, 12, 12, 12, 9, 9, 9, 11, 11, 10, 12, 12, 12, 9, 9, 6, 6, 9, 10, 10, 10, 9, 9, 9, 10, 12, 12, 12, 12, 9, 9, 10, 12, 11, 12, 12, 12, 12, 12, 9, 9, 9, 11, 11, 10, 12, 12, 12, 9, 9, 6, 6, 9, 10, 10, 10, 9, 9, 9, 10, 12, 12, 9, 9, 10, 12, 11, 12, 12, 12, 9, 9, 9, 11, 11, 10, 12, 12, 9, 9, 10, 11, 9, 9, 9, 6, 6, 7, 8, 8, 8, 8, 10, 8, 8, 10, 8, 7, 7, 9, 9, 9, 10, 11, 9, 9, 9, 14, 15, 13, 15, 15, 14, 15, 13, 13, 15, 13, 6, 6, 7, 7, 7, 8, 9, 7, 7, 7, 9, 10, 11, 11, 11, 9, 9, 9, 14, 15, 15, 15, 13, 14, 14, 14, 12, 12, 13, 13, 13, 4, 4, 5, 5, 5, 5, 7, 8, 8, 8, 8, 10, 8, 8, 10, 8, 7, 7, 9, 9, 9, 10, 11, 9, 9, 9, 13, 14, 14, 14, 14, 14, 14, 13, 15, 13, 13, 15, 13, 10, 10, 14, 15, 15, 13, 14, 13, 6, 6, 7, 8, 8, 8, 8, 10, 8, 8, 10, 8, 7, 7, 9, 9, 9, 10, 11, 9, 9, 9, 13, 14, 14, 14, 14, 14, 14, 13, 15, 13, 13, 15, 13, 6, 6, 9, 9, 8, 8, 10, 6, 6, 7, 8, 7, 7, 10, 10, 8, 10, 10, 7, 7, 12, 12, 11, 12, 12, 11, 10, 10, 12, 8, 8, 9, 9, 9, 10, 11, 9, 9, 9, 14, 14, 13, 14, 14, 13, 12, 12, 13, 12, 14, 17, 16, 17, 17, 17, 17, 15, 16, 16, 15, 6, 6, 7, 7, 7, 8, 9, 7, 7, 7, 11, 12, 12, 12, 12, 11, 8, 8, 11, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 12, 12, 8, 8, 11, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 8, 8, 11, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 12, 12, 8, 8, 11, 12, 12, 12, 12 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 9, 2, 2, 2, 2, 11, 2, 2, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 2, 4, 4, 3, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 3, 1, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 4, 4, 4, 4, 4, 4, 0, 2, 2, 2, 2, 1, 4, 4, 5, 5, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 1, 2, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 1, 2, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 2, 1, 1, 7, 2, 1, 1, 1, 3, 3, 3, 1, 1, 1, 2, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 3, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 3, 2, 4, 4, 4, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 6, 6, 6, 6, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 2, 0, 2, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 3, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 3, 3, 3, 1, 3, 3, 1, 2, 3, 1, 2, 3, 3, 0, 0, 0, 2, 2, 0, 0, 0, 1, 5, 5, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 3, 3, 4, 4, 4, 3, 2, 4, 4, 4, 0, 2, 2, 2, 2, 1, 5, 5, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 5, 5, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 0, 2, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 465, 2322, 203, 465, 2322, 32, 983, 619, 1519, 203, 465, 16539, 203, 1070, 22977, 1188, 1933, 3242, 30, 540, 41718, 30, 1933, 36, 203, 1070, 39523, 32, 12076, 15579, 1188, 22284, 15579, 203, 1070, 39523, 32, 28497, 1188, 308, 284, 5718, 3484, 30, 284, 5718, 2570, 30, 284, 5718, 30, 203, 27, 203, 1070, 43265, 32, 2501, 81, 1439, 1188, 308, 284, 5718, 1761, 30, 284, 1476, 30, 1505, 81, 1851, 30, 284, 438, 81, 5910, 30, 438, 81, 4229, 22330, 30, 739, 81, 500, 34225, 81, 2121, 30, 284, 622, 81, 7128, 916, 81, 983, 30, 203, 27, 203, 589, 1491, 81, 761, 26, 3607, 30, 415, 81, 4658, 47, 2700, 711, 284, 415, 415, 81, 4658, 461, 646, 1519, 32, 4658, 26, 3607, 711, 291, 442, 1665, 284, 623, 2156, 26, 3607, 27, 619, 296, 44, 291, 442, 296, 32, 850, 346, 203, 50, 2019, 2570, 203, 823, 6401, 3313, 9770, 26, 2019, 1761, 711, 284, 477, 2019, 463, 1945, 370, 1802, 3048, 1057, 2529, 2057, 2086, 370, 1802, 6215, 1057, 1526, 31, 1832, 683, 284, 477, 2019, 3484, 12664, 3779, 370, 6470, 100, 370, 2125, 1057, 2157, 81, 1508, 370, 3486, 3049, 1057, 2529, 322, 3621, 1968, 683, 284, 477, 2019, 3484, 12664, 1902, 370, 6470, 86, 370, 2125, 1057, 2157, 81, 1508, 370, 3486, 3049, 1057, 2529, 322, 5684, 1968, 683, 284, 477, 2019, 3484, 12664, 4038, 370, 2125, 1057, 2157, 81, 1508, 370, 1244, 47, 2521, 30, 3486, 3049, 1057, 2529, 544, 600, 8103, 3298, 3919, 529, 15345, 9073, 82, 683, 284, 477, 2019, 3484, 12664, 2811, 370, 2125, 1057, 2157, 81, 1508, 370, 3486, 3049, 1057, 6601, 322, 25876, 32, 3182, 17237, 312, 330, 3775, 11363, 21374, 2470, 1098, 1056, 328, 322, 1244, 330, 3775, 330, 21374, 3998, 1654, 32, 886, 2412, 4209, 330, 3775, 330, 8791, 1289, 5744, 2876, 458, 11834, 284, 477, 2019, 3484, 12664, 21374, 370, 1244, 47, 2521, 30, 827, 47, 466, 30, 3486, 3049, 1057, 558, 432, 25876, 372, 793, 11834, 284, 477, 2019, 3484, 12664, 7128, 916, 370, 6470, 84, 370, 2125, 1057, 2157, 81, 1508, 370, 3486, 3049, 1057, 11651, 623, 14161, 32, 916, 683, 284, 477, 2019, 3484, 12664, 48097, 370, 6470, 108, 370, 2125, 1057, 2157, 81, 1508, 370, 3486, 3049, 1057, 11651, 328, 5759, 2274, 2926, 683, 284, 477, 2019, 3484, 26, 291, 330, 2132, 370, 34292, 1057, 34854, 291, 3049, 347, 2019, 31, 928, 4209, 372, 526, 5403, 3919, 372, 2057, 2086, 657, 284, 665, 1420, 26, 784, 30, 2803, 30, 3621, 47, 2700, 30, 5684, 47, 2700, 30, 2603, 47, 2521, 30, 4588, 47, 2700, 30, 25876, 47, 2521, 30, 5427, 916, 47, 2700, 30, 324, 5759, 2274, 47, 2700, 711, 291, 4533, 280, 630, 32, 1832, 81, 2121, 346, 291, 4533, 1365, 68, 6902, 81, 8803, 13187, 1446, 280, 313, 35, 20, 291, 415, 25876, 44, 324, 4588, 280, 2933, 291, 415, 2603, 438, 1665, 44, 324, 2603, 280, 630, 32, 1163, 1365, 1832, 9557, 4038, 1446, 291, 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, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 5, 5, 4, 4, 5, 7, 8, 7, 8, 7, 3, 3, 5, 2, 2, 3, 8, 9, 8, 6, 6, 3, 3, 3, 5, 7, 8, 7, 0, 2, 3, 3, 1, 2, 2, 3, 3, 3, 4, 4, 3, 2, 2, 7, 7, 9, 9, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 4, 4, 7, 7, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 7, 9, 9, 7, 8, 9, 7, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 9, 9, 9, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 9, 9, 7, 8, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 7, 6, 6, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 7, 8, 6, 6, 8, 7, 8, 6, 6, 6, 8, 7, 8, 6, 5, 5, 8, 8, 10, 11, 11, 11, 10, 6, 6, 9, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 6, 6, 7, 7, 7, 7, 10, 10, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 13, 14, 12, 14, 14, 13, 13, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 3, 3, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 1, 2, 2, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 7, 7, 1, 2, 2, 2, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 8, 8, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 8, 8, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 4, 4, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 9, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 9, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 2, 0, 15, 2, 2, 2, 2, 0, 17, 2, 2, 9, 9, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 4, 4, 2, 2, 2, 2, 0, 0, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 0, 2, 0, 1, 2, 1, 2, 4, 4 ]
[ 465, 2322, 203, 465, 6677, 36, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 32, 14481, 1188, 3960, 8510, 203, 1070, 18414, 32, 7295, 1188, 597, 1479, 3413, 203, 2024, 81, 6175, 280, 18491, 203, 5000, 81, 983, 280, 330, 742, 994, 11905, 32, 317, 38, 25, 203, 589, 622, 81, 25257, 26, 14117, 711, 284, 415, 629, 1162, 4126, 36, 3667, 1648, 25566, 2998, 3949, 11968, 34, 1130, 333, 225, 37, 44, 291, 442, 12847, 32, 371, 26, 4126, 36, 32, 4126, 32, 8155, 81, 11886, 81, 15262, 81, 38129, 27, 284, 813, 44, 291, 442, 12847, 32, 371, 26, 4126, 36, 32, 11886, 81, 15262, 81, 38129, 27, 203, 589, 1688, 81, 983, 26, 15705, 711, 284, 442, 2322, 32, 983, 32, 2524, 26, 2024, 81, 6175, 30, 29155, 27, 203, 589, 8430, 26, 449, 711, 284, 5941, 280, 2065, 32, 3596, 26, 449, 429, 2065, 32, 24005, 26, 449, 3427, 15315, 26, 2356, 32, 2420, 27, 284, 5941, 280, 5941, 32, 15315, 26, 2356, 32, 1808, 27, 319, 225, 36, 39, 39, 32, 34, 284, 5941, 280, 597, 1479, 3413, 26, 3965, 30, 5801, 81, 891, 47, 39, 27, 284, 5941, 280, 2065, 32, 464, 26, 3965, 610, 428, 36, 39, 39, 30, 225, 36, 39, 39, 30, 225, 36, 39, 39, 614, 6013, 6593, 35, 27, 284, 442, 5941, 32, 15315, 26, 2356, 32, 1808, 27, 319, 225, 36, 39, 39, 32, 34, 203, 14117, 280, 6677, 36, 32, 6076, 11874, 26, 5000, 81, 983, 27, 203, 25257, 280, 622, 81, 25257, 26, 14117, 27, 203, 1216, 14969, 97, 79, 22403, 12872, 645, 904, 100, 506, 4238, 6027, 34196, 904, 31352, 27, 203, 1516, 81, 9433, 280, 225, 34, 203, 3127, 280, 2933, 203, 5525, 3117, 44, 284, 3117, 30, 3118, 280, 12847, 32, 850, 346, 284, 415, 3117, 44, 291, 3438, 912, 280, 8430, 26, 1744, 27, 291, 6677, 36, 32, 449, 1821, 26, 2024, 81, 983, 463, 1744, 23, 86, 32, 3072, 25, 904, 1929, 81, 9433, 471, 3118, 27, 291, 6677, 36, 32, 449, 1821, 26, 2024, 81, 983, 463, 1745, 912, 23, 86, 32, 3072, 25, 904, 1929, 81, 9433, 471, 3438, 912, 27, 291, 1929, 81, 9433, 1454, 225, 35, 203, 1216, 14969, 29, 79, 1312, 5212, 904, 100, 12872, 645, 26781, 101, 2541, 25, 904, 308, 1516, 81, 9433, 30, 6027, 81, 983, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 12, 12, 11, 12, 12, 10, 9, 11, 8, 7, 4, 4, 5, 3, 3, 3, 5, 7, 8, 7, 10, 10, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 7, 3, 3, 4, 4, 4, 6, 8, 9, 8, 10, 10, 9, 10, 10, 10, 10, 10, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 5, 6, 5, 6, 6, 6, 5, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 8, 9, 8, 10, 9, 9, 11, 12, 11, 12, 11, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 7, 8, 7, 9, 8, 9, 7, 5, 5, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 8, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 7, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 6, 7, 9, 6, 2, 2, 3, 6, 7, 6, 8, 7, 8, 6, 4, 4, 5, 5, 5, 5, 5, 0, 3, 2, 2, 5, 4, 5, 5, 4, 5, 5, 5, 4, 0, 3, 2, 2, 4, 4, 4, 5, 4, 0, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 0, 1, 1, 1, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 3, 7, 6, 6, 8, 9, 8, 4, 4, 8, 7, 8, 8, 7, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 7, 7, 4, 4, 8, 7, 8, 8, 7, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 7, 8, 7, 4, 4, 7, 7, 6, 6, 7, 0, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 5, 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 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 2, 1, 2, 9, 9, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 1, 3, 1, 1, 4, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 15, 15, 15, 15, 15, 0, 0, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 3, 3, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 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 ]
[ 465, 5237, 203, 465, 2322, 32, 983, 203, 465, 30945, 203, 465, 16672, 203, 465, 316, 203, 52, 4238, 81, 3539, 280, 3056, 3731, 33, 6474, 33, 2811, 33, 22745, 90, 1053, 33, 41507, 25, 203, 25459, 81, 3539, 280, 3056, 3731, 33, 6474, 33, 2811, 33, 22745, 90, 1053, 33, 5057, 25, 203, 2203, 81, 2576, 81, 14137, 280, 35617, 2524, 2009, 284, 330, 6574, 1505, 688, 4588, 2548, 438, 29236, 372, 517, 3731, 33, 6474, 33, 2811, 5769, 284, 330, 363, 5801, 2297, 4034, 22745, 90, 1053, 1492, 438, 3892, 32, 3490, 203, 613, 81, 68, 3266, 280, 316, 32, 6993, 463, 5608, 2524, 2009, 284, 540, 25, 33028, 312, 706, 22048, 544, 322, 4117, 2163, 821, 308, 34, 106, 6505, 77, 34, 31, 43, 83, 31, 88, 6155, 370, 284, 540, 25, 12524, 322, 12404, 821, 6262, 80, 766, 102, 44340, 16124, 4850, 44, 4034, 13157, 24913, 13517, 7243, 284, 540, 25, 363, 322, 12404, 2091, 2670, 308, 3424, 27, 16124, 4850, 44, 4034, 13157, 24913, 13517, 27, 7698, 203, 613, 81, 68, 4409, 280, 316, 32, 6993, 463, 5608, 2524, 2009, 284, 540, 25, 33028, 312, 706, 22048, 544, 322, 4117, 2163, 821, 308, 34, 106, 6505, 77, 34, 31, 43, 83, 31, 88, 6155, 370, 284, 540, 1330, 8707, 438, 2625, 372, 526, 20001, 810, 322, 12404, 821, 6262, 80, 766, 102, 6155, 7243, 284, 540, 10255, 26, 4850, 44, 4034, 13157, 24913, 13517, 711, 370, 284, 540, 1330, 292, 4117, 2163, 1597, 8844, 5929, 322, 7808, 7698, 203, 589, 11557, 81, 410, 26, 800, 711, 284, 786, 280, 629, 26, 800, 27, 284, 415, 786, 2511, 225, 34, 44, 291, 3124, 280, 5461, 100, 438, 646, 312, 11557, 4991, 20, 904, 802, 291, 3636, 16672, 32, 3484, 18082, 26, 2076, 27, 284, 442, 786, 203, 823, 47076, 1564, 26, 1473, 711, 284, 5881, 51, 2350, 432, 540, 2557, 3733, 312, 2702, 6092, 432, 9400, 284, 330, 23747, 25, 429, 2965, 432, 322, 12404, 688, 1531, 9755, 30, 284, 330, 23747, 81, 4850, 25, 429, 330, 4850, 25, 432, 322, 2164, 688, 10768, 330, 23747, 370, 284, 330, 22950, 81, 23747, 25, 429, 322, 2965, 2091, 2685, 322, 12404, 688, 13555, 291, 312, 48790, 4117, 2857, 308, 2521, 415, 8665, 471, 284, 330, 22950, 81, 4850, 25, 429, 330, 4850, 25, 432, 322, 2164, 688, 10768, 330, 22950, 81, 23747, 25, 291, 308, 2521, 415, 8665, 547, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 41261, 30, 41261, 81, 4850, 30, 11730, 81, 23747, 47, 2521, 30, 353, 11730, 81, 4850, 47, 2521, 711, 291, 630, 32, 23747, 280, 41261, 291, 630, 32, 23747, 81, 508, 874, 280, 428, 23747, 81, 4850, 79, 291, 630, 32, 22950, 81, 23747, 280, 11730, 81, 23747, 291, 415, 11730, 81, 4850, 44, 324, 630, 32, 22950, 81, 508, 874, 280, 428, 22950, 81, 4850, 79, 291, 813, 44, 324, 630, 32, 22950, 81, 508, 874, 280, 1605, 291, 630, 32, 998, 280, 225, 35, 284, 665, 1459, 81, 100, 2557, 26, 784, 711, 291, 415, 630, 32, 22950, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 8, 7, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 8, 7, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 7, 8, 8, 7, 8, 7, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 8, 8, 10, 10, 10, 9, 5, 5, 6, 6, 6, 10, 11, 11, 11, 11, 9, 9, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 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, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 0, 2, 2, 1, 1, 1, 4, 4, 2, 0, 11, 11, 1, 2, 1, 2, 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, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 3, 1, 1, 3, 3, 3, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 3, 3, 4, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2 ]
[ 1070, 35094, 1188, 33845, 203, 1070, 8527, 32, 2304, 1188, 4281, 1260, 203, 1070, 8527, 32, 1262, 32, 34243, 32, 1260, 1188, 18297, 3265, 8770, 203, 1070, 8527, 32, 525, 1188, 17874, 203, 589, 20297, 81, 3615, 81, 3648, 26, 1071, 81, 1298, 711, 284, 477, 4071, 101, 26, 1071, 81, 1298, 27, 284, 665, 9804, 26, 1357, 30, 319, 1132, 30, 1115, 5321, 711, 291, 415, 1326, 32, 496, 32, 297, 81, 22297, 2262, 324, 442, 2202, 81, 1298, 26, 1357, 30, 319, 1132, 30, 1115, 5321, 27, 291, 2361, 280, 4281, 1260, 32, 16958, 1371, 330, 1206, 81, 22297, 950, 2933, 1790, 291, 442, 17874, 26, 1260, 30, 18346, 681, 1057, 3164, 33, 1260, 683, 284, 442, 9804, 203, 823, 37877, 26, 15718, 711, 284, 665, 1156, 1664, 3207, 784, 30, 706, 711, 291, 2599, 26, 42959, 30, 630, 14585, 1664, 3207, 1286, 47, 6656, 1260, 32, 16958, 26, 605, 30, 6933, 47, 36115, 3265, 8770, 471, 18346, 681, 1057, 3164, 33, 1260, 683, 203, 589, 20297, 81, 1357, 26, 1298, 711, 284, 477, 4071, 101, 26, 1298, 27, 284, 665, 7767, 26, 1357, 30, 319, 1132, 30, 1115, 5321, 711, 291, 1789, 280, 3420, 26, 1357, 30, 319, 1132, 30, 1115, 5321, 27, 291, 415, 6937, 26, 1986, 30, 5436, 711, 324, 442, 37877, 26, 1986, 27, 291, 813, 44, 324, 442, 1789, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 6, 6, 6, 7, 7, 7, 6, 3, 3, 4, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 6, 6, 8, 10, 10, 10, 11, 10, 10, 12, 10, 10, 12, 10, 5, 5, 7, 7, 10, 9, 10, 9, 10, 13, 13, 13, 13, 11, 10, 5, 5, 6, 8, 9, 8, 8, 10, 9, 11, 11, 11, 11, 2, 2, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 9, 9, 9, 8, 8, 9, 8, 11, 11, 10, 11, 10, 11, 10, 12, 11, 12, 12, 12, 10, 7, 9, 8, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 6, 6, 6, 7, 6, 3, 3, 4, 5, 6, 5, 5, 7, 5, 5, 7, 5, 4, 4, 7, 7, 9, 10, 9, 9, 11, 9, 9, 11, 9, 5, 5, 6, 8, 9, 8, 8, 8, 6, 6, 8, 10, 11, 10, 6, 6, 7, 7, 7, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 0, 3, 1, 1, 1, 2, 4, 4, 1, 0, 5, 5, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 2, 2, 1, 1, 0, 3, 1, 1, 1, 2, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 28520, 32, 1647, 81, 2304, 32, 25931, 1188, 3850, 3028, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 4573, 32, 2282, 32, 2304, 1188, 372, 81, 668, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 4573, 32, 2282, 32, 1163, 1188, 8159, 1063, 203, 823, 3383, 1761, 26, 1473, 711, 284, 2793, 81, 2285, 280, 2149, 284, 4031, 3405, 81, 29882, 280, 1605, 284, 7248, 280, 1404, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 630, 32, 2810, 280, 2149, 291, 630, 1114, 29032, 81, 5983, 280, 2149, 291, 630, 32, 2480, 81, 5983, 280, 1665, 291, 436, 1623, 328, 630, 32, 7895, 44, 324, 630, 32, 2810, 77, 1094, 79, 280, 10306, 32, 3235, 26, 1094, 27, 291, 436, 1202, 30, 786, 328, 3850, 3028, 26, 5321, 711, 324, 415, 1202, 328, 630, 32, 2669, 81, 2285, 44, 400, 39506, 26, 784, 30, 1202, 30, 786, 27, 291, 436, 1202, 30, 786, 328, 3850, 3028, 26, 784, 32, 2669, 81, 2285, 711, 324, 415, 786, 32, 371, 463, 1536, 7831, 400, 415, 646, 18623, 26, 784, 30, 1202, 30, 1665, 711, 528, 39506, 26, 784, 30, 1202, 30, 786, 32, 371, 463, 1536, 2847, 284, 665, 1156, 32110, 3207, 784, 30, 1202, 711, 291, 415, 1202, 328, 630, 32, 2669, 81, 2285, 44, 324, 442, 630, 32, 2810, 32, 371, 26, 678, 27, 284, 665, 1156, 45865, 3207, 784, 30, 1202, 30, 786, 711, 291, 415, 1202, 328, 630, 32, 2669, 81, 2285, 44, 324, 415, 1202, 328, 630, 32, 7895, 44, 400, 3636, 12678, 463, 18506, 739, 786, 683, 324, 4348, 786, 438, 646, 1665, 44, 400, 630, 32, 2810, 77, 678, 79, 280, 786, 291, 813, 44, 324, 2599, 26, 1063, 1761, 30, 630, 14585, 45865, 3207, 678, 30, 786, 27, 284, 665, 1619, 81, 1163, 26, 784, 30, 4774, 711, 291, 415, 330, 1819, 25, 646, 328, 630, 1114, 29032, 81, 5983, 44, 324, 630, 1114, 29032, 81, 5983, 710, 1819, 785, 280, 1149, 346, 291, 630, 1114, 29032, 81, 5983, 710, 1819, 5695, 8233, 26, 452, 81, 668, 26, 3515, 490, 284, 665, 3649, 81, 1163, 26, 784, 30, 4774, 711, 291, 415, 330, 3264, 25, 646, 328, 630, 1114, 29032, 81, 5983, 44, 324, 630, 1114, 29032, 81, 5983, 710, 3264, 785, 280, 1149, 346, 291, 630, 1114, 29032, 81, 5983, 710, 3264, 5695, 8233, 26, 452, 81, 668, 26, 3515, 490, 284, 665, 622, 81, 29032, 81, 5983, 26, 784, 711, 291, 1359, 280, 1149, 346, 291, 436, 4169, 328, 2726, 1819, 370, 330, 3264, 7831, 324, 1359, 32, 8233, 26, 784, 1114, 29032, 81, 5983, 32, 371, 26, 1906, 30, 1605, 490, 291, 442, 1359, 284, 665, 739, 81, 2480, 81, 5983, 26, 784, 30, 1359, 711, 291, 630, 32, 2480, 81, 5983, 280, 1359, 284, 665, 2908, 26, 784, 30, 1359, 47, 2521, 711, 291, 3636, 22210, 284, 665, 622, 81, 1906, 26, 784, 30, 1359, 30, 4169, 711, 291, 415, 1359, 438, 646, 1665, 44, 324, 3706, 4687, 280, 8159, 1063, 26, 9378, 47, 35, 30, 7299, 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, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 8, 8, 10, 11, 10, 11, 10, 4, 4, 5, 6, 6, 5, 5, 7, 7, 8, 7, 5, 5, 7, 8, 8, 9, 10, 10, 10, 7, 7, 7, 11, 12, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 5, 5, 7, 7, 9, 8, 9, 9, 9, 7, 5, 5, 7, 9, 10, 9, 11, 11, 7, 7, 9, 10, 12, 13, 12, 12, 12, 12, 12, 9, 9, 13, 14, 13, 13, 13, 13, 15, 16, 15, 17, 17, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 10, 11, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 8, 8, 9, 10, 7, 7, 7, 9, 11, 13, 13, 13, 13, 7, 7, 8, 9, 9, 9, 8, 8, 8, 13, 14, 12, 13, 12, 11, 11, 5, 5, 6, 6, 6, 12, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 8, 6, 6, 6, 7, 8, 8, 8, 5, 5, 5, 10, 11, 11, 11, 9, 11, 11, 8, 8, 10, 4, 4, 9, 10, 10, 10, 8, 10, 10, 8, 7, 9, 9, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 8, 6, 6, 6, 7, 8, 8, 8, 5, 5, 5, 10, 11, 11, 11, 9, 11, 11, 8, 8, 10, 4, 4, 9, 10, 10, 10, 8, 10, 10, 8, 7, 9, 9, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 5, 5, 5, 8, 8, 6, 8, 8, 5, 5, 9, 10, 9, 13, 12, 13, 13, 13, 11, 12, 11, 12, 11, 11, 11, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 5, 5, 5, 9, 8, 8, 10, 10, 12, 11, 12, 10, 10, 11 ]
[ 0, 0, 1, 2, 2, 2, 1, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 4, 1, 6, 1, 8, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 4, 1, 6, 1, 8, 2, 2, 0, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 3, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 3, 3, 3, 3, 2, 3, 3, 3, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 0, 1, 1, 1, 4, 4, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 5, 5, 0, 1, 0, 1, 2, 2, 2, 1, 5, 5, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 4, 1, 1, 1, 4, 4, 4, 0, 2, 0, 2, 0, 0, 0, 0, 0, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 4, 4, 7, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 4, 4, 8, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 4, 4, 9, 1, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 2, 2, 2, 0, 0, 4, 4, 10, 2, 1, 2, 2, 3, 2, 2, 10, 10, 0, 4, 4, 11, 1, 1, 2, 1, 2, 2, 2, 2, 2, 11, 11, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3 ]
[ 465, 15798, 203, 465, 6436, 203, 465, 663, 1352, 203, 1070, 663, 1352, 1188, 9161, 203, 1070, 663, 1352, 32, 11514, 1188, 16601, 203, 1070, 663, 1352, 1188, 14999, 81, 1553, 203, 1070, 663, 1352, 1188, 7324, 203, 1070, 663, 1352, 1188, 6325, 203, 1070, 663, 1352, 32, 4266, 1188, 5601, 203, 589, 617, 35237, 26, 106, 711, 284, 33747, 280, 9161, 32, 371, 81, 955, 81, 1647, 26, 106, 27, 284, 11214, 280, 816, 32, 12010, 32, 681, 26, 34, 32, 39, 27, 284, 442, 33747, 32, 41543, 26, 106, 319, 11214, 27, 319, 11214, 474, 11214, 203, 589, 617, 5634, 541, 35287, 26, 1298, 30, 281, 30, 420, 30, 816, 30, 281, 81, 16417, 30, 420, 81, 16417, 711, 284, 3298, 280, 9161, 32, 371, 81, 2929, 81, 1070, 81, 955, 26, 106, 27, 284, 623, 663, 1352, 32, 908, 81, 2929, 26, 2929, 711, 291, 33747, 280, 3298, 32, 13293, 291, 456, 17546, 81, 266, 280, 816, 32, 4260, 26, 1298, 32, 417, 2489, 32, 73, 32, 605, 32, 70, 27, 291, 456, 17546, 81, 266, 1454, 420, 32, 4260, 26, 1298, 32, 94, 20715, 32, 73, 32, 605, 32, 70, 27, 291, 456, 17546, 81, 266, 280, 33747, 32, 12091, 26, 35287, 81, 266, 30, 308, 1657, 26, 35287, 81, 266, 471, 10000, 456, 17546, 81, 266, 32, 3229, 77, 35, 79, 434, 225, 38, 30, 2476, 38, 490, 291, 312, 30, 595, 30, 296, 30, 337, 280, 33747, 32, 2998, 26, 35287, 81, 266, 30, 225, 38, 30, 225, 36, 27, 291, 312, 280, 33747, 32, 12091, 26, 83, 30, 308, 1657, 26, 83, 471, 312, 32, 3229, 77, 35, 5259, 291, 595, 280, 33747, 32, 12091, 26, 91, 30, 308, 1657, 26, 91, 471, 595, 32, 3229, 77, 35, 5259, 291, 296, 280, 33747, 32, 12091, 26, 88, 30, 308, 1657, 26, 88, 471, 296, 32, 3229, 77, 35, 5259, 291, 337, 280, 33747, 32, 12091, 26, 97, 30, 308, 1657, 26, 97, 471, 337, 32, 3229, 77, 35, 5259, 291, 281, 81, 2868, 280, 33747, 32, 41543, 26, 83, 27, 319, 617, 35237, 26, 91, 27, 474, 617, 35237, 26, 88, 27, 319, 281, 291, 281, 81, 1978, 280, 281, 319, 281, 81, 16417, 32, 4555, 81, 90, 474, 281, 81, 2868, 319, 281, 81, 16417, 32, 4555, 81, 106, 291, 420, 81, 1978, 280, 420, 319, 420, 81, 16417, 32, 4555, 81, 90, 474, 766, 324, 4638, 35237, 26, 97, 27, 319, 33747, 32, 41543, 26, 85, 81, 2868, 490, 319, 420, 81, 16417, 32, 4555, 81, 106, 284, 442, 281, 81, 1978, 30, 420, 81, 1978, 203, 50, 4266, 32, 5609, 518, 26, 284, 5053, 266, 81, 891, 950, 225, 35, 34, 30, 330, 541, 81, 891, 950, 225, 35, 34, 30, 330, 85, 81, 11368, 950, 225, 34, 32, 39, 30, 330, 90, 81, 11368, 950, 225, 34, 32, 36, 39, 835, 284, 5053, 266, 81, 891, 950, 225, 35, 34, 30, 330, 541, 81, 891, 950, 225, 38, 34, 30, 330, 85, 81, 11368, 950, 225, 34, 32, 36, 39, 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, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 2, 2, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 2, 2, 3, 7, 8, 7, 9, 8, 8, 7, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 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, 3, 8, 7, 8, 8, 8, 7, 8, 7, 3, 3, 6, 6, 7, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 13, 12, 13, 13, 11, 12, 10, 11, 9, 10, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 13, 12, 13, 13, 11, 12, 10, 11, 9, 10, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 11, 11, 12, 12, 12, 11, 9, 9, 13, 13, 13, 12, 13, 11, 12, 11, 10, 10, 11, 9, 9, 10, 9, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 11, 11, 12, 11, 9, 11, 12, 10, 11, 10, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 11, 11, 12, 11, 9, 11, 12, 10, 11, 10, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 11, 11, 12, 11, 9, 11, 12, 10, 11, 10, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 11, 11, 12, 11, 9, 11, 12, 10, 11, 10, 4, 4, 7, 7, 6, 6, 10, 11, 10, 11, 10, 8, 8, 10, 10, 11, 10, 7, 7, 10, 10, 11, 10, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 10, 10, 9, 10, 10, 10, 7, 7, 9, 9, 8, 8, 10, 10, 9, 10, 10, 10, 4, 4, 7, 7, 6, 6, 8, 8, 10, 10, 9, 10, 10, 10, 7, 7, 8, 7, 12, 12, 13, 12, 10, 10, 12, 13, 12, 13, 13, 13, 12, 8, 8, 10, 10, 9, 10, 10, 10, 2, 2, 3, 5, 5, 4, 4, 5, 5, 0, 2, 5, 4, 5, 5, 4, 4, 4, 8, 8, 8, 8, 6, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 7, 7, 5, 4, 4, 8, 8, 8, 8, 6, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 7, 7, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 0, 6, 6, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 10, 10, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 11, 11, 2, 10, 10, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 0, 2, 0, 3, 3, 2, 3, 3, 5, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 3, 0, 2, 3, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 3, 0, 2, 3, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 3, 0, 2, 3, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 3, 0, 2, 3, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 1, 1, 1, 2, 3, 2, 2, 3, 3, 1, 1, 1, 2, 5, 2, 2, 2, 2, 3 ]
[ 465, 24495, 203, 1070, 35094, 1188, 7360, 203, 465, 5741, 203, 1070, 6765, 17594, 32, 3527, 32, 4918, 1204, 1188, 308, 284, 45623, 81, 25138, 21126, 30, 45623, 81, 32984, 5650, 722, 1102, 81, 5363, 30, 45623, 81, 46667, 30, 9591, 81, 10539, 81, 18250, 30, 284, 9591, 81, 18783, 81, 38652, 2418, 30, 4085, 10383, 30, 8452, 81, 3307, 81, 779, 30, 8452, 81, 3307, 81, 33631, 30, 8452, 81, 3307, 81, 14080, 30, 284, 559, 28947, 3033, 30, 6677, 30, 3920, 27, 203, 1070, 6765, 17594, 32, 913, 1188, 308, 284, 38604, 81, 14080, 81, 2109, 81, 38053, 17589, 30, 45623, 81, 2474, 30, 45623, 81, 20753, 30, 284, 45623, 81, 14080, 81, 2109, 81, 38053, 17589, 27, 203, 33384, 42391, 940, 280, 2107, 4918, 1204, 785, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 33631, 81, 18576, 69, 280, 301, 284, 330, 48251, 950, 330, 7702, 44, 12475, 31, 11650, 370, 284, 330, 27404, 950, 330, 7702, 44, 27404, 370, 284, 330, 17473, 950, 330, 7702, 44, 968, 775, 12327, 370, 203, 111, 203, 14594, 81, 33631, 81, 2319, 280, 330, 12601, 81, 681, 25, 203, 20753, 81, 20740, 280, 3920, 32, 3694, 1371, 284, 3920, 32, 5413, 26, 14594, 81, 20753, 711, 4085, 10383, 30, 284, 3920, 32, 7556, 26, 14594, 81, 32984, 5650, 722, 1102, 81, 5363, 30, 1244, 47, 1815, 711, 6677, 32, 4398, 30, 284, 3920, 32, 7556, 26, 14594, 81, 46667, 30, 1244, 19704, 711, 3920, 32, 3694, 1371, 291, 6677, 32, 800, 44, 301, 324, 3920, 32, 7556, 26, 14594, 81, 2474, 711, 6677, 32, 800, 30, 324, 3920, 32, 5413, 26, 14594, 81, 33631, 81, 2319, 711, 6677, 32, 800, 30, 324, 3920, 32, 7556, 26, 14594, 81, 14080, 81, 2109, 81, 38053, 17589, 30, 1244, 47, 2521, 711, 6677, 32, 800, 30, 324, 3920, 32, 7556, 26, 14594, 81, 25138, 21126, 30, 1244, 19066, 711, 400, 3920, 32, 1934, 26, 4126, 32, 12830, 81, 668, 30, 428, 4126, 32, 800, 5727, 291, 801, 284, 7305, 203, 1748, 203, 589, 11470, 81, 2243, 81, 979, 81, 12601, 81, 681, 26, 12601, 81, 681, 711, 284, 645, 15960, 1204, 32, 3922, 1188, 6407, 10995, 30, 30103, 1218, 81, 29054, 284, 1600, 81, 43466, 280, 301, 104, 44, 831, 436, 831, 30, 354, 328, 30103, 1218, 81, 29054, 32, 3028, 9741, 284, 442, 6407, 10995, 32, 371, 26, 1495, 81, 43466, 32, 371, 26, 12601, 81, 681, 490, 203, 589, 9241, 81, 1070, 81, 1163, 26, 4116, 81, 1163, 30, 35741, 47, 2521, 711, 284, 9241, 280, 1605, 284, 436, 3298, 81, 314, 30, 1359, 328, 5880, 81, 1163, 77, 14594, 81, 46667, 997, 3028, 2262, 291, 415, 646, 1359, 77, 11486, 81, 14080, 81, 2109, 81, 38053, 17589, 2786, 324, 1359, 77, 11486, 81, 14080, 81, 2109, 81, 38053, 17589, 79, 280, 11470, 81, 2243, 81, 979, 81, 12601, 81, 681, 26, 400, 1359, 77, 14594, 81, 33631, 81, 2319, 1130, 291, 3298, 280, 559, 28947, 11810, 26, 2929, 81, 314, 30, 35741, 30, 1115, 1163, 27, 291, 9241, 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, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 8, 9, 8, 9, 9, 9, 8, 6, 7, 5, 5, 5, 8, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 10, 8, 6, 7, 8, 5, 5, 5, 8, 9, 8, 9, 9, 9, 8, 8, 9, 8, 6, 8, 9, 8, 9, 9, 11, 12, 10, 10, 11, 11, 14, 15, 14, 15, 15, 15, 14, 12, 13, 14, 11, 11, 11, 14, 15, 14, 15, 15, 15, 15, 15, 14, 12, 13, 14, 11, 11, 11, 14, 15, 14, 15, 15, 15, 15, 15, 15, 15, 15, 14, 14, 15, 16, 14, 12, 13, 14, 11, 11, 11, 14, 15, 14, 15, 15, 15, 15, 14, 14, 15, 14, 12, 12, 14, 15, 14, 16, 15, 16, 16, 16, 14, 14, 17, 16, 17, 15, 11, 11, 9, 9, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 4, 5, 3, 3, 5, 3, 3, 5, 5, 5, 2, 2, 5, 5, 4, 4, 7, 6, 6, 5, 6, 7, 7, 6, 6, 9, 9, 9, 8, 9, 8, 2, 2, 3, 6, 5, 6, 5, 8, 8, 8, 7, 8, 7, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 2, 2, 3, 5, 5, 4, 4, 3, 3, 7, 7, 6, 7, 7, 7, 6, 6, 5, 3, 3, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 5, 5, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 12, 12, 12, 12, 12, 11, 4, 4, 6, 6, 8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 10, 8, 4, 4, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 3, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 5, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 5, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 7, 7, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 3, 2, 2, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 4, 4, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 11, 11, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0 ]
[ 1070, 3312, 32, 3592, 1188, 15798, 36, 30, 328, 4997, 37, 93, 203, 1270, 44, 284, 15390, 203, 7343, 3270, 924, 44, 284, 15390, 280, 596, 284, 1946, 280, 629, 203, 465, 17787, 203, 465, 5237, 203, 1070, 4395, 1188, 7502, 30, 25864, 3660, 30, 617, 10449, 1316, 203, 823, 2108, 3660, 299, 20229, 8891, 26, 18986, 36, 32, 7233, 711, 284, 665, 894, 81, 286, 13560, 81, 15260, 81, 9147, 26, 784, 711, 291, 4395, 280, 7502, 346, 291, 630, 32, 14846, 26, 2040, 2437, 26, 3613, 30, 11477, 33644, 505, 2847, 291, 4395, 3667, 33644, 505, 280, 7502, 346, 291, 630, 32, 6549, 26, 2040, 2437, 26, 3613, 30, 11477, 33644, 505, 2847, 291, 3555, 4395, 3667, 33644, 505, 291, 630, 32, 14846, 26, 2040, 2437, 26, 3613, 30, 11477, 33644, 505, 2847, 284, 665, 894, 81, 15260, 3613, 81, 4025, 26, 784, 711, 291, 4395, 280, 25864, 3660, 346, 291, 3555, 4395, 3667, 33644, 505, 291, 630, 32, 23895, 26, 18082, 30, 9254, 44, 4395, 710, 3986, 3490, 291, 4395, 280, 25864, 3660, 346, 291, 4395, 710, 3986, 785, 291, 3555, 4395, 3667, 33644, 505, 291, 630, 32, 23895, 26, 18082, 30, 9254, 44, 4395, 710, 3986, 3490, 284, 665, 894, 81, 15260, 81, 1959, 81, 48989, 26, 784, 711, 291, 4395, 280, 7502, 346, 291, 665, 296, 26, 784, 30, 636, 711, 324, 442, 630, 30, 330, 13026, 25, 291, 4395, 3667, 33644, 505, 280, 296, 291, 630, 32, 14846, 26, 3613, 3667, 33644, 505, 438, 296, 27, 291, 630, 32, 5299, 26, 3613, 710, 3986, 2188, 308, 3613, 30, 330, 13026, 2847, 291, 630, 32, 5299, 26, 3613, 3667, 33644, 25300, 3986, 1425, 308, 3613, 30, 330, 13026, 2847, 291, 4395, 3667, 33644, 505, 280, 4395, 291, 630, 32, 6549, 26, 3613, 3667, 33644, 505, 438, 4395, 27, 284, 665, 894, 81, 15260, 81, 9147, 81, 297, 23723, 81, 12524, 81, 30274, 26, 784, 711, 291, 4395, 35, 280, 7502, 346, 291, 4395, 36, 280, 7502, 346, 291, 4395, 35, 3667, 1731, 505, 280, 7502, 26, 601, 81, 853, 47, 1731, 7486, 490, 291, 630, 32, 5299, 26, 668, 26, 3613, 35, 471, 11544, 291, 630, 32, 23895, 26, 18082, 30, 9254, 44, 1149, 26, 3613, 36, 490, 284, 665, 894, 81, 13707, 26, 784, 711, 291, 4395, 280, 7502, 346, 291, 630, 32, 5299, 26, 13707, 26, 3613, 471, 3778, 3660, 804, 31197, 101, 28364, 904, 804, 26, 3613, 490, 291, 4395, 3667, 13707, 505, 280, 9254, 309, 44, 330, 3986, 25, 291, 630, 32, 5299, 26, 13707, 26, 3613, 471, 330, 3986, 683, 284, 665, 894, 81, 466, 26, 784, 711, 291, 4395, 280, 7502, 346, 291, 630, 32, 5299, 26, 466, 26, 3613, 471, 1300, 3667, 466, 3207, 3613, 490, 291, 4395, 3667, 466, 505, 280, 9254, 309, 44, 330, 3986, 25, 291, 630, 32, 5299, 26, 466, 26, 3613, 471, 330, 3986, 683, 284, 477, 18986, 36, 32, 5961, 2797, 26, 266, 4997, 37, 93, 30, 313, 1347, 15390, 328, 4865, 225, 37, 657, 284, 665, 894, 81, 9941, 26, 784, 711, 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, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 5, 3, 3, 5, 5, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 7, 8, 7, 9, 9, 9, 10, 9, 9, 11, 11, 11, 4, 4, 7, 8, 8, 6, 6, 8, 4, 4, 7, 8, 7, 9, 9, 9, 10, 9, 9, 11, 11, 11, 4, 4, 5, 6, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 10, 9, 9, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 4, 4, 5, 6, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 9, 11, 11, 4, 4, 6, 6, 8, 8, 4, 4, 6, 8, 8, 4, 4, 5, 6, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 9, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 5, 6, 7, 6, 6, 6, 5, 5, 7, 8, 8, 10, 10, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 7, 10, 9, 10, 10, 8, 8, 7, 4, 4, 7, 8, 7, 9, 8, 10, 10, 7, 9, 8, 8, 10, 10, 4, 4, 7, 8, 7, 10, 9, 10, 10, 11, 11, 7, 9, 8, 8, 10, 10, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 7, 10, 9, 10, 10, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 4, 4, 7, 6, 6, 8, 4, 4, 8, 7, 8, 8, 6, 6, 8, 10, 10, 10, 9, 11, 11, 11, 4, 4, 7, 8, 7, 9, 9, 10, 10, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 10, 11, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 4, 4, 7, 8, 8, 6, 6, 7, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 10, 10, 10, 9, 4, 4, 7, 8, 8, 6, 6, 7, 7, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 9, 2, 2, 7, 7, 6, 7, 7, 6, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 6, 5, 4 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 2, 2, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 4, 4, 1, 1, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 2, 1, 2, 4, 4, 0, 0, 0, 1, 4, 4, 0, 1, 2, 4, 4, 5, 1, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 2, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 1, 3, 3, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 3, 3, 1, 2, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 1, 1, 1, 2, 1, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 30, 766, 284, 623, 81, 9849, 203, 465, 6234, 203, 465, 1671, 203, 465, 5741, 203, 589, 8248, 81, 655, 26, 101, 711, 284, 415, 827, 26, 101, 27, 610, 629, 44, 291, 442, 309, 284, 442, 617, 655, 26, 101, 27, 203, 589, 8248, 81, 9918, 26, 86, 711, 284, 415, 3519, 610, 596, 44, 291, 442, 617, 9918, 26, 86, 27, 284, 442, 3519, 2009, 86, 1130, 203, 81, 655, 280, 16167, 203, 81, 9918, 280, 21749, 203, 655, 280, 8248, 81, 655, 203, 9918, 280, 8248, 81, 9918, 203, 589, 372, 81, 3651, 26, 101, 711, 284, 415, 3519, 863, 596, 44, 291, 415, 827, 26, 101, 27, 610, 596, 44, 324, 442, 309, 32, 4434, 463, 3310, 31, 42, 683, 284, 442, 309, 203, 589, 372, 81, 466, 26, 101, 711, 284, 415, 3519, 863, 596, 44, 291, 415, 827, 26, 101, 27, 610, 3519, 44, 324, 442, 309, 32, 5460, 463, 3310, 31, 42, 683, 284, 442, 309, 203, 589, 34626, 81, 96, 1393, 26, 5065, 30, 4749, 466, 711, 284, 415, 13872, 610, 6234, 32, 5995, 81, 21399, 44, 291, 442, 372, 81, 3651, 26, 4817, 32, 13246, 81, 96, 28578, 26, 639, 466, 490, 284, 4348, 13872, 610, 6234, 32, 5995, 81, 21399, 40, 44, 291, 1188, 316, 291, 354, 40, 3225, 280, 14589, 2473, 2524, 26, 15339, 34, 36, 74, 23, 34, 36, 74, 25, 904, 308, 655, 26, 91, 471, 16167, 26, 92, 23891, 94, 7201, 463, 34, 683, 3775, 436, 595, 30, 594, 328, 8529, 26, 639, 466, 77, 403, 36, 614, 4749, 466, 77, 35, 403, 36, 5259, 291, 354, 40, 3225, 280, 316, 32, 1113, 463, 403, 44292, 45242, 370, 354, 40, 3225, 30, 2385, 47, 35, 27, 291, 442, 372, 81, 3651, 26, 104, 40, 3225, 27, 203, 589, 34626, 81, 45678, 26, 5065, 30, 8705, 711, 284, 8705, 280, 372, 81, 466, 26, 3225, 27, 284, 415, 13872, 610, 6234, 32, 5995, 81, 21399, 44, 291, 442, 6234, 32, 13246, 81, 20403, 26, 3225, 27, 284, 4348, 13872, 610, 6234, 32, 5995, 81, 21399, 40, 44, 291, 415, 18491, 328, 8705, 44, 23688, 354, 38, 3225, 280, 8705, 77, 3225, 32, 100, 1055, 16487, 683, 474, 225, 35, 10056, 324, 354, 38, 3225, 280, 6234, 32, 13246, 81, 20403, 26, 104, 38, 3225, 27, 324, 354, 38, 3225, 280, 1992, 26, 5962, 816, 44, 2726, 23, 34, 36, 74, 25, 904, 16167, 26, 106, 3662, 354, 38, 3225, 27, 324, 354, 38, 3225, 32, 3215, 26, 36, 30, 14589, 683, 324, 537, 3225, 280, 8705, 2867, 3225, 32, 100, 1055, 16487, 683, 474, 225, 35, 79, 474, 35617, 2524, 26, 104, 38, 3225, 27, 324, 442, 34626, 81, 45678, 26, 5065, 30, 537, 3225, 27, 291, 343, 1170, 1421, 280, 428, 34, 79, 319, 225, 42, 16189, 2914, 1069, 280, 8705, 32, 2998, 16487, 683, 291, 436, 595, 30, 354, 328, 10703, 26, 771, 1069, 711, 324, 415, 354, 44, 400, 343, 1170, 1421 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 2, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 6, 4, 4, 3, 3, 3, 5, 2, 2, 3, 5, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 7, 7, 8, 7, 2, 2, 3, 5, 7, 6, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 8, 9, 8, 6, 6, 5, 5, 5, 7, 9, 10, 9, 11, 11, 11, 11, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 8, 9, 8, 6, 6, 5, 5, 5, 7, 9, 10, 9, 11, 11, 11, 11, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 6, 6, 6, 3, 3, 3, 5, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 10, 10, 9, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 4, 4, 4, 6, 5, 5, 8, 8, 7, 7, 11, 10, 9, 12, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 16, 16, 17, 16, 14, 16, 17, 16, 12, 12, 11, 13, 13, 9, 9, 10, 11, 11, 10, 10, 12, 14, 14, 13, 14, 15, 13, 12, 14, 13, 15, 14, 15, 13, 5, 5, 8, 8, 7, 7, 9, 10, 9, 11, 11, 9, 11, 9, 10, 10, 9, 9, 10, 11, 9, 5, 5, 6, 8, 8, 8, 9, 9, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 4, 4, 5, 6, 6, 6, 3, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 3, 3, 4, 5, 5, 6, 7, 7, 7, 7, 4, 4, 4, 6, 7, 7, 6, 6, 6, 10, 10, 9, 9, 10, 15, 14, 15, 15, 14, 16, 12, 12, 13, 11, 7, 7, 10, 10, 9, 9, 11, 12, 12, 12, 11, 12, 12, 12, 11, 7, 7, 10, 10, 9, 9, 11, 12, 12, 12, 12, 16, 16, 16, 16, 16, 14, 14, 16, 17, 16, 11, 12, 12, 11, 7, 7, 11, 11, 10, 11, 10, 11, 10, 10, 12, 7, 7, 10, 9, 9, 11, 16, 15, 16, 16, 15, 17, 13, 13, 14, 11, 10, 10, 13, 12, 13, 13, 13, 12, 7, 7, 8, 10, 10, 10, 11, 10, 10, 11, 10, 5, 5, 8, 8, 7, 7, 10, 9, 8, 8, 9, 5, 5, 8, 7, 7, 9, 10, 9, 11, 5, 5, 6, 7, 7, 6, 6, 8, 9, 9, 8, 6, 6, 8, 8, 8, 8, 13, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 4, 4, 1, 0, 1, 1, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 0, 12, 12, 1, 1, 1, 2, 1, 2, 2, 3, 2, 12, 12, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 4, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 3, 3, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 3, 0, 2, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 5, 5, 1, 1, 7, 2, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 2, 2, 13, 13, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 5, 0, 0, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 1, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 465, 13092, 203, 465, 1133, 203, 465, 13247, 203, 1070, 13247, 32, 11452, 1188, 9476, 924, 203, 1070, 13247, 1114, 8524, 1188, 1695, 800, 30, 1044, 30, 707, 1190, 100, 203, 1070, 638, 468, 708, 445, 1188, 540, 619, 617, 9558, 81, 1580, 203, 589, 4465, 81, 979, 81, 1436, 26, 29744, 30, 5868, 47, 34, 32, 35, 30, 5079, 81, 7764, 81, 6286, 47, 2700, 711, 284, 2464, 280, 1133, 32, 1003, 346, 284, 5868, 280, 2464, 474, 5868, 284, 2218, 2464, 333, 5868, 44, 291, 1474, 280, 2547, 1113, 32, 371, 81, 1436, 26, 324, 5079, 81, 7764, 81, 6286, 47, 3617, 81, 7764, 81, 6286, 27, 291, 415, 1474, 438, 646, 1665, 44, 324, 442, 1474, 291, 1133, 32, 7840, 26, 34, 32, 34, 35, 27, 291, 2464, 280, 1133, 32, 1003, 346, 284, 442, 1665, 203, 589, 1930, 81, 1436, 26, 681, 30, 3826, 30, 706, 30, 5257, 47, 2521, 711, 284, 442, 301, 291, 330, 681, 950, 827, 30, 291, 330, 5607, 950, 5257, 461, 5257, 32, 4434, 463, 3310, 31, 42, 683, 556, 1665, 30, 291, 330, 3237, 950, 3826, 32, 4434, 463, 3310, 31, 42, 1425, 291, 330, 605, 950, 706, 32, 4434, 463, 3310, 31, 42, 683, 415, 6937, 26, 605, 30, 1695, 800, 27, 813, 706, 284, 320, 203, 589, 1930, 81, 7764, 81, 858, 81, 605, 26, 29744, 30, 827, 711, 284, 415, 827, 610, 330, 3237, 950, 291, 442, 301, 324, 330, 98, 950, 2547, 1113, 30, 324, 330, 1113, 81, 681, 950, 330, 7764, 370, 324, 330, 311, 1113, 81, 681, 950, 330, 29566, 370, 324, 330, 1113, 81, 1298, 950, 2547, 1113, 32, 7764, 30, 324, 330, 311, 1113, 81, 1298, 950, 2547, 1113, 32, 29566, 30, 324, 330, 3494, 950, 2107, 3986, 370, 330, 1632, 370, 1044, 463, 13394, 683, 474, 707, 1190, 100, 26, 38, 38, 39, 40, 27, 474, 1044, 463, 687, 12357, 291, 320, 284, 4348, 827, 610, 330, 5607, 950, 291, 442, 301, 324, 330, 98, 950, 2547, 1113, 30, 324, 330, 1113, 81, 681, 950, 330, 1069, 356, 2824, 370, 324, 330, 311, 1113, 81, 681, 950, 330, 98, 29566, 370, 324, 330, 1113, 81, 1298, 950, 2547, 1113, 32, 1069, 356, 2824, 30, 324, 330, 311, 1113, 81, 1298, 950, 2547, 1113, 32, 98, 29566, 30, 324, 330, 3494, 950, 2107, 88, 45896, 330, 84, 45896, 1044, 463, 13394, 683, 474, 707, 1190, 100, 26, 38, 38, 39, 40, 27, 474, 1044, 24516, 12357, 291, 320, 284, 1201, 3177, 30, 330, 5790, 20648, 827, 44, 904, 101, 25, 904, 827, 203, 823, 2108, 6722, 1721, 15992, 1061, 7764, 26, 1473, 711, 284, 665, 617, 858, 81, 7764, 81, 29566, 26, 784, 30, 298, 30, 1361, 81, 681, 30, 707, 1113, 81, 681, 30, 1361, 81, 1298, 30, 1891, 707, 1113, 81, 1298, 30, 5036, 711, 291, 436, 1202, 328, 5036, 44, 324, 1201, 1361, 81, 1298, 26, 678, 27, 438, 1665, 291, 436, 595, 30, 1202, 328, 10703, 26, 3494, 711, 324, 1201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 4, 4, 2, 2, 4, 4, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 5, 5, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 8, 8, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 4, 4, 6, 6, 8, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 7, 7, 5, 4, 4, 4, 7, 7, 5, 7, 7, 9, 10, 9, 11, 11, 11, 11, 6, 6, 4, 4, 4, 7, 7, 5, 7, 8, 7, 9, 9, 9, 9, 4, 4, 7, 7, 5, 8, 9, 8, 10, 10, 10, 10, 6, 6, 8, 9, 8, 8, 9, 8, 6, 6, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 6, 6, 3, 3, 5, 6, 6, 9, 9, 7, 8, 6, 6, 6, 9, 9, 9, 9, 7, 9, 9, 6, 6, 9, 9, 9, 9, 9, 7, 9, 9, 6, 6, 9, 9, 9, 9, 7, 9, 8, 9, 6, 6, 6, 9, 9, 9, 9, 9, 7, 9, 8, 9, 6, 6, 6, 9, 9, 7, 10, 10, 8, 10, 10, 8, 12, 14, 14, 10, 10, 12, 12, 12, 13, 13, 13, 13, 12, 9, 9, 11, 13, 13, 6, 6, 3, 3, 4, 5, 5, 7, 7, 4, 4, 6, 7, 7, 10, 10, 8, 9, 7, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 9, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 10, 8, 10, 9, 10, 10, 7, 7, 7, 10, 10, 8, 11, 11, 9, 11, 11, 9, 13, 15, 15, 11, 11, 13, 13, 13, 14, 14, 14, 14, 13, 10, 10, 12, 14, 7, 7, 2, 2, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 5, 5, 7, 10, 10, 10, 11, 10, 8, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 3, 3, 2, 2, 2, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 7, 7, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 4, 4, 3, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 8, 8, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 5, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 2, 1, 1, 1, 1, 1, 2, 7, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 9, 0, 2, 2, 1, 1, 1, 1, 2, 11, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 2, 1, 1, 0, 0, 4, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 2, 1, 1, 1, 1, 1, 2, 7, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 9, 0, 2, 2, 2, 1, 1, 1, 1, 2, 11, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 10, 10, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 7, 2, 2, 9, 9, 2, 2, 2, 11, 11, 11, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 15798, 203, 1070, 35309, 5234, 1188, 594, 203, 823, 2108, 1706, 12714, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 422, 7493, 280, 594, 32, 10321, 32, 422, 7493, 291, 630, 32, 678, 35, 280, 330, 9404, 31, 20544, 399, 2141, 1319, 37, 64, 6203, 53, 35, 10810, 36, 55, 15024, 1192, 13904, 1319, 2141, 1319, 13904, 12557, 94, 75, 34, 2001, 1413, 571, 13904, 56, 33, 101, 33956, 36, 62, 36, 24396, 12293, 20135, 34, 87, 6543, 96, 2117, 10836, 41, 89, 14892, 67, 11679, 90, 591, 108, 54, 34, 29, 58, 17505, 54, 35, 1068, 108, 29, 108, 76, 16368, 53, 36, 96, 2027, 9050, 30962, 5544, 17581, 37, 91, 38, 92, 36851, 41, 43, 88, 13986, 33324, 38, 2323, 67, 60, 20926, 105, 716, 44767, 11315, 94, 34608, 104, 1164, 75, 34, 87, 32920, 37, 1291, 24067, 10611, 61, 43, 57, 34, 635, 3657, 9711, 290, 88, 76, 9029, 726, 39, 33, 2117, 61, 10179, 1713, 425, 23756, 35, 63, 28108, 16955, 33, 4895, 36, 13293, 54, 29, 90, 58, 1818, 107, 5891, 103, 3716, 43, 65, 1752, 74, 36, 43903, 22681, 40, 95, 5106, 35, 27804, 38, 71, 35, 92, 348, 6974, 43616, 41, 62, 33, 63, 34, 95, 41, 37, 20329, 38, 63, 36, 20751, 23007, 11623, 94, 33, 3754, 90, 25693, 90, 59, 29, 23752, 52, 36, 91, 43, 7955, 59, 37, 31843, 2051, 1386, 43, 42, 63, 4019, 56, 306, 9995, 37, 106, 8401, 38, 38866, 58, 567, 38359, 64, 42, 92, 41, 108, 33, 73, 1069, 88, 36585, 339, 99, 65, 2072, 96, 3397, 39, 107, 38, 28787, 35, 10096, 8045, 289, 61, 44235, 75, 104, 68, 36, 76, 5478, 51, 930, 4977, 17519, 34, 33, 38, 93, 9110, 96, 41, 36, 37, 64, 292, 57, 33, 4215, 1953, 3051, 50, 1772, 754, 42, 38068, 564, 25, 291, 630, 32, 678, 36, 280, 330, 9404, 31, 20544, 399, 2141, 1319, 37, 64, 6203, 53, 35, 10810, 36, 55, 15024, 1192, 13904, 1319, 2141, 1319, 13904, 12557, 94, 75, 34, 2001, 1413, 571, 13904, 56, 33, 101, 33956, 36, 62, 36, 24396, 12293, 20135, 34, 87, 6543, 96, 2117, 10836, 41, 89, 14892, 67, 11679, 90, 591, 108, 54, 34, 29, 58, 17505, 54, 35, 1068, 108, 29, 108, 76, 16368, 53, 36, 96, 2027, 9050, 30962, 5544, 17581, 37, 91, 38, 92, 36851, 41, 43, 88, 13986, 33324, 38, 2323, 67, 60, 20926, 105, 716, 44767, 11315, 94, 34608, 104, 1164, 75, 34, 87, 32920, 37, 1291, 24067, 10611, 61, 43, 57, 34, 635, 3657, 9711, 290, 88, 76, 9029, 726, 39, 33, 2117, 61, 10179, 1713, 425, 23756, 35, 63, 28108, 16955, 33, 4895, 36, 13293, 54, 29, 90, 58, 1818, 107, 5891, 103, 3716, 43, 65, 1752, 74, 36, 43903, 22681, 40, 95, 5106, 35, 27804, 38, 71, 35, 92, 348, 6974, 43616, 41, 62, 33, 63, 34, 95, 41, 37, 20329, 38, 63, 36, 20751, 23007, 11623, 94, 33, 3754, 90, 25693, 90, 59, 29, 23752, 52, 36, 91, 43, 7955, 59, 37, 31843 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 9, 7, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13625, 1188, 31466, 203, 465, 298, 2209, 6634, 203, 1070, 30419, 1188, 358, 567, 203, 1070, 21454, 3483, 32, 1439, 32, 4151, 1188, 16424, 81, 13357, 43695, 203, 1070, 21454, 3483, 32, 3841, 1188, 622, 81, 3841, 203, 1070, 21454, 3483, 32, 2282, 1188, 617, 465, 81, 823, 203, 1070, 21454, 3483, 32, 4275, 1188, 8073, 1625, 924, 203, 1070, 21454, 3483, 32, 2958, 81, 3592, 1188, 2756, 81, 5177, 40737, 81, 37, 203, 505, 464, 505, 280, 2726, 1217, 370, 330, 1877, 683, 203, 5762, 783, 1296, 567, 81, 13357, 43695, 280, 2726, 941, 370, 330, 1837, 370, 330, 33597, 370, 330, 2159, 370, 330, 23825, 370, 330, 266, 370, 330, 41299, 370, 330, 1803, 370, 715, 330, 464, 370, 330, 891, 370, 330, 4658, 370, 330, 1206, 370, 330, 7613, 3665, 370, 330, 681, 683, 203, 28815, 81, 13357, 43695, 280, 2726, 20490, 81, 8018, 370, 330, 20490, 81, 36099, 1578, 81, 8018, 370, 353, 330, 20490, 81, 1501, 370, 330, 20490, 81, 20003, 370, 330, 20121, 370, 330, 20121, 81, 15381, 370, 353, 330, 1449, 81, 8018, 370, 330, 887, 81, 8018, 370, 330, 8512, 81, 20490, 370, 330, 8512, 81, 20490, 81, 1501, 370, 353, 330, 8512, 81, 20490, 81, 20003, 370, 330, 8512, 81, 20490, 81, 2390, 370, 353, 330, 8512, 81, 20490, 81, 15381, 370, 330, 8512, 81, 22170, 101, 683, 203, 5203, 81, 13357, 43695, 280, 2726, 4752, 370, 330, 295, 388, 1907, 370, 330, 15990, 370, 528, 330, 427, 502, 15285, 370, 330, 20643, 370, 330, 91, 20643, 370, 528, 330, 16925, 370, 330, 91, 16925, 683, 203, 19163, 81, 13357, 43695, 280, 2726, 2872, 370, 27, 203, 15895, 81, 13357, 43695, 280, 308, 5762, 783, 1296, 567, 81, 13357, 43695, 474, 47255, 81, 13357, 43695, 474, 4511, 19397, 81, 13357, 43695, 474, 41181, 81, 13357, 43695, 27, 203, 589, 2467, 2176, 1427, 81, 6933, 47, 2521, 30, 1115, 1217, 711, 284, 21454, 81, 1217, 280, 2149, 284, 3991, 81, 1217, 280, 31466, 26, 668, 27, 284, 436, 1202, 30, 786, 328, 8594, 26, 1217, 32, 3028, 22805, 291, 415, 1202, 610, 9602, 1294, 18018, 324, 21454, 81, 1217, 32, 1877, 26, 853, 27, 324, 4036, 291, 8710, 280, 1202, 32, 100, 2998, 463, 505, 683, 291, 10193, 280, 10440, 91, 30, 298, 27, 436, 595, 30, 298, 328, 10703, 26, 10031, 27, 415, 298, 32, 44065, 7662, 291, 8710, 280, 428, 2050, 436, 1742, 328, 8710, 415, 646, 1742, 32, 44065, 7662, 291, 3089, 280, 1665, 291, 415, 2069, 26, 10031, 27, 848, 225, 35, 461, 8710, 6448, 35, 79, 328, 31054, 81, 13357, 43695, 44, 324, 3089, 280, 8710, 32, 3235, 346, 291, 415, 2069, 26, 10031, 27, 848, 225, 35, 461, 8710, 6448, 35, 79, 610, 34863, 324, 8710, 32, 3235, 346, 291, 7528, 332, 280, 3177, 291, 415, 2069, 26, 10031, 27, 848, 225, 35, 461, 8710, 6448, 35, 79, 610, 330, 1206, 950, 324, 8710, 32, 3235, 346, 324, 7528, 332, 280, 2933, 291, 415, 617, 1427, 81, 6933, 44, 324, 1596, 44, 400, 3829, 280, 617, 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, 0, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 5, 5, 3, 0, 3, 3, 3, 3, 2, 2, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 5, 5, 5, 6, 6, 6, 4, 4, 5, 5, 5, 3, 0, 1, 1, 2, 4, 4, 4, 3, 4, 2, 2, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 5, 8, 7, 8, 7, 3, 3, 5, 6, 6, 8, 8, 5, 5, 10, 10, 9, 10, 9, 10, 9, 6, 6, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 4, 4, 6, 6, 9, 8, 8, 8, 7, 8, 9, 9, 8, 8, 10, 11, 10, 7, 8, 10, 11, 10, 4, 4, 6, 6, 8, 7, 8, 8, 8, 7, 8, 9, 11, 12, 11, 4, 4, 6, 6, 4, 4, 5, 9, 10, 9, 7, 7, 8, 6, 6, 8, 10, 8, 7, 7, 8, 8, 8, 5, 5, 5, 8, 8, 10, 11, 10, 4, 4, 5, 9, 10, 9, 7, 7, 8, 6, 6, 8, 10, 8, 7, 7, 5, 5, 9, 10, 9, 4, 4, 7, 6, 6, 4, 4, 5, 9, 10, 9, 7, 7, 8, 6, 6, 8, 10, 8, 7, 7, 9, 9, 5, 5, 9, 10, 9, 6, 6, 9, 8, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 10, 10, 13 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 2, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 14, 14, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 14, 14, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 5, 5, 0, 0, 0, 2, 2, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 5, 5, 0, 0, 1, 2, 2, 2, 2, 2, 3, 1, 0, 2, 1, 5, 5, 0, 0, 5, 5, 5, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 5, 5, 5, 0, 0, 0, 2, 1, 5, 5, 6, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 6, 6, 0, 2, 1, 5, 5, 0, 0, 0, 5, 5, 8, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 8, 8, 0, 2, 1, 3, 3, 0, 0, 0, 5, 5, 9, 1, 1, 1, 9, 9, 9, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 5741, 203, 465, 11685, 203, 823, 447, 639, 685, 22359, 5711, 26, 5711, 711, 284, 3097, 203, 823, 26396, 383, 42197, 42, 5711, 26, 42197, 685, 22359, 5711, 30, 28855, 685, 22359, 5711, 711, 284, 3097, 203, 823, 26396, 383, 42197, 43, 5711, 26, 42197, 685, 22359, 5711, 30, 28855, 685, 22359, 5711, 711, 284, 3097, 203, 852, 21320, 19419, 280, 428, 16986, 383, 42197, 42, 5711, 30, 26396, 383, 42197, 43, 5711, 79, 203, 81, 19991, 81, 2245, 5691, 280, 1665, 203, 589, 617, 2245, 5691, 26, 1436, 30, 6215, 30, 4870, 30, 39997, 30, 803, 47, 2521, 30, 1628, 47, 2521, 711, 284, 415, 803, 438, 646, 1665, 44, 291, 415, 617, 19991, 81, 2245, 5691, 438, 646, 1665, 44, 324, 617, 19991, 81, 2245, 5691, 26, 400, 1474, 30, 6215, 30, 4870, 30, 39997, 30, 803, 30, 1628, 30, 324, 829, 284, 813, 44, 291, 415, 438, 39288, 26, 3153, 30, 447, 639, 685, 22359, 5711, 711, 324, 4082, 280, 5741, 32, 10579, 440, 9060, 32, 286, 4677, 993, 657, 324, 1245, 81, 1436, 280, 313, 852, 21320, 2893, 44, 904, 101, 20, 904, 1474, 324, 415, 438, 39288, 26, 3153, 30, 18123, 367, 5711, 711, 400, 4082, 32, 731, 26, 751, 81, 1436, 27, 324, 813, 44, 400, 4082, 32, 5691, 26, 751, 81, 1436, 27, 291, 813, 44, 324, 617, 19991, 81, 2245, 5691, 26, 400, 1474, 30, 6215, 30, 4870, 30, 39997, 30, 803, 30, 1628, 30, 324, 829, 203, 589, 2443, 81, 5691, 81, 4073, 2262, 284, 3649, 617, 19991, 81, 2245, 5691, 284, 415, 617, 19991, 81, 2245, 5691, 438, 1665, 44, 291, 617, 19991, 81, 2245, 5691, 280, 11685, 32, 2245, 5691, 291, 11685, 32, 2245, 5691, 280, 617, 2245, 5691, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 0, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 5, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 4, 4, 6, 8, 8, 9, 8, 8, 9, 9, 9, 9, 8, 6, 6, 9, 9, 11, 12, 11, 13, 13, 13, 13, 13, 13, 7, 7, 10, 10, 9, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 7, 7, 8, 10, 10, 11, 10, 10, 11, 11, 10, 8, 8, 12, 13, 12, 13, 13, 13, 12, 8, 8, 9, 9, 9, 13, 14, 13, 14, 14, 14, 13, 6, 6, 7, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 4, 4, 2, 2, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 7, 8, 8, 4, 4, 7, 8, 8, 6, 6, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 8, 8, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 0, 1, 1, 1, 1, 3, 3, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 2, 9, 9, 0, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1133, 203, 465, 2322, 203, 465, 6436, 619, 2065, 203, 1070, 30192, 814, 1188, 4562, 1874, 619, 14994, 203, 1070, 343, 13453, 32, 19333, 1188, 296, 500, 203, 1070, 343, 13453, 32, 716, 1188, 8298, 1882, 619, 298, 9928, 203, 1070, 343, 13453, 32, 1262, 1188, 4562, 81, 11218, 619, 23295, 203, 1070, 343, 13453, 32, 1262, 1188, 4562, 81, 16257, 619, 19176, 203, 1070, 343, 13453, 32, 1262, 1188, 4562, 81, 7982, 619, 13845, 203, 10555, 20183, 2833, 33, 4192, 34, 35, 33, 750, 33, 66, 6695, 33, 98, 3590, 36, 34, 34, 43, 295, 6521, 33, 25833, 35, 33, 25833, 35, 81, 6979, 35, 81, 40844, 81, 4390, 81, 95, 5161, 32, 43526, 25, 203, 53, 81, 10555, 20183, 2868, 33, 94, 1004, 81, 3242, 32, 30105, 25, 203, 725, 100, 81, 10555, 20183, 2868, 33, 94, 1004, 81, 21884, 32, 43526, 25, 203, 1216, 330, 7067, 4562, 1874, 803, 34196, 203, 15189, 30, 11642, 47, 7598, 32, 850, 26, 10555, 27, 203, 1216, 330, 4001, 299, 21912, 34196, 203, 21884, 6020, 91, 77, 34, 79, 436, 595, 328, 18393, 79, 203, 4025, 18393, 203, 325, 646, 2322, 32, 983, 32, 29712, 26, 53, 81, 10555, 711, 284, 1459, 330, 15624, 498, 9292, 2417, 25, 284, 20873, 47, 1003, 32, 9100, 346, 284, 390, 30, 269, 23280, 101, 47, 5390, 32, 94, 1004, 26, 21884, 19014, 39, 34, 12037, 36, 30, 36, 34, 12037, 36, 30, 39, 12037, 36, 614, 1815, 30, 1815, 27, 284, 1459, 330, 9107, 328, 3380, 432, 5769, 1003, 32, 9100, 17662, 15180, 1947, 6360, 4564, 284, 1459, 330, 28288, 1056, 34196, 284, 298, 9928, 32, 2853, 81, 24088, 26, 53, 81, 10555, 30, 53, 27, 284, 18393, 6020, 26, 91, 30, 2521, 30, 2521, 27, 979, 595, 328, 821, 23280, 101, 79, 284, 14994, 32, 1821, 26, 725, 100, 81, 10555, 30, 15189, 30, 11642, 27, 203, 1824, 44, 284, 1459, 330, 7067, 1056, 34196, 284, 390, 47, 30105, 32, 944, 81, 24088, 26, 53, 81, 10555, 27, 203, 1990, 342, 19066, 203, 979, 281, 328, 390, 44, 284, 3001, 342, 32, 1689, 26, 53, 77, 85, 5795, 4315, 108, 3490, 203, 1216, 330, 36729, 5890, 2685, 34213, 34196, 203, 100, 47, 45772, 32, 1575, 346, 203, 45772, 32, 3815, 26, 100, 27, 203, 8717, 47, 2356, 32, 9880, 1162, 1657, 26, 1990, 342, 471, 37, 490, 203, 979, 308, 91, 30, 101, 27, 328, 10703, 26, 1990, 342, 711, 284, 1963, 47, 2356, 32, 3855, 32, 6386, 26, 35, 30, 37, 27, 284, 9612, 77, 91, 7770, 1489, 203, 45772, 32, 669, 26, 100, 30, 45772, 32, 928, 26, 1990, 342, 30, 8717, 30, 11900, 47, 35, 490, 203, 45772, 32, 2245, 26, 100, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 0, 1, 1, 3, 1, 1, 4, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 4, 2, 2, 3, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 3, 3, 3, 3, 0, 4, 3, 4, 2, 5, 4, 5, 4, 5, 4, 0, 1, 1, 3, 3, 3, 3, 0, 3, 2, 5, 4, 5, 4, 3, 4, 4, 4, 3, 0, 1, 1, 0, 1, 1, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 1, 1, 3, 5, 5, 5, 5, 5, 2, 2, 4, 7, 6, 7, 6, 2, 2, 5, 6, 6, 6, 4, 7, 6, 7, 7, 6, 7, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 6, 7, 6, 2, 2, 3, 5, 5, 5, 5, 5, 7, 6, 7, 6, 5, 3, 5, 5, 2, 2, 3, 5, 5, 5, 2, 2, 6, 5, 6, 6, 6, 5, 6, 6, 6, 5, 6, 5, 2, 2, 4, 6, 7, 6, 7, 6, 7, 6, 6, 6, 6, 6, 7, 7, 5, 2, 2, 5, 6, 5, 6, 6, 6, 6, 5, 6, 5, 6, 5, 1, 2, 2, 2, 2, 4, 6, 6, 6, 3, 3, 5, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 0, 3, 3, 2, 0, 1, 1, 1, 1, 1, 1, 1, 6, 5, 6, 5, 8, 7, 8, 7, 8, 8, 8, 0, 1, 1, 3, 3, 3, 3, 3, 0, 3, 2, 5, 4, 5, 4, 0, 4, 3, 4, 3, 4, 3, 0, 3, 2, 5, 4, 5, 4, 7, 7, 8, 8, 7, 6, 5, 0, 1, 1, 3, 2, 3, 2, 1, 1, 3, 4, 4, 3, 1, 1, 4, 8, 7, 8, 6, 7, 6, 7, 6, 7, 6, 2, 2, 5, 6, 5, 5, 0, 4, 3, 4, 3, 4, 3, 6, 5, 6, 5, 6, 6, 5, 6, 5, 7, 6, 7, 5, 0, 4, 3, 4, 3, 4, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 3, 3, 2, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 3, 3, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 3, 3, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 3, 3, 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, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 14, 14, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 16, 16, 0, 17, 17, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 17, 17, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 3, 0, 0, 0, 2, 3, 0, 0, 2, 3, 5, 1, 7, 1, 3, 3, 3, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 3, 1, 1, 3, 3, 4, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 3, 3, 0, 1, 1, 1, 3, 1, 5, 1, 2, 2, 2, 2, 3, 3, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 17, 4, 4, 4, 4, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 19, 19, 19, 19, 19, 19, 19, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 20, 20, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 0, 24, 24, 1, 1, 3, 1, 24, 24, 1, 1, 1, 1, 24, 24, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 1, 5, 5, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 0, 5, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3586, 38789, 81, 59, 36, 53, 1188, 3586, 38789, 81, 59, 36, 53, 203, 465, 1133, 203, 823, 394, 3898, 36, 39, 40, 35, 44, 284, 595, 36, 85, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 2965, 47, 34, 106, 36, 43, 30, 4588, 47, 34, 30, 15263, 47, 34, 32, 42, 711, 291, 630, 32, 91, 36, 85, 280, 3586, 38789, 81, 59, 36, 53, 26, 2468, 27, 291, 630, 32, 2468, 280, 2965, 291, 630, 32, 12089, 280, 15263, 291, 630, 32, 2811, 280, 4588, 291, 630, 32, 19512, 280, 225, 34, 4456, 630, 32, 91, 36, 85, 32, 1821, 42, 26, 34, 106, 42, 34, 30, 225, 34, 106, 34, 37, 27, 647, 284, 665, 739, 22274, 26, 784, 30, 19512, 47, 35, 711, 291, 415, 308, 19512, 863, 630, 32, 19512, 711, 324, 415, 308, 19512, 379, 35, 711, 400, 630, 32, 91, 36, 85, 32, 1821, 42, 26, 34, 106, 42, 35, 30, 225, 34, 106, 34, 36, 27, 647, 400, 415, 308, 784, 32, 2811, 711, 528, 1459, 313, 7085, 7461, 19287, 20, 324, 813, 44, 400, 630, 32, 91, 36, 85, 32, 1821, 42, 26, 34, 106, 42, 35, 30, 225, 34, 106, 35, 36, 27, 647, 400, 415, 308, 784, 32, 2811, 711, 528, 1459, 313, 7085, 3857, 19287, 20, 324, 630, 32, 19512, 47, 19512, 45, 7188, 324, 1133, 32, 7840, 26, 784, 32, 12089, 27, 3389, 284, 665, 1491, 5095, 26, 784, 30, 2834, 711, 291, 1596, 44, 324, 3594, 695, 280, 630, 32, 91, 36, 85, 32, 850, 71, 35, 40, 26, 1582, 27, 324, 537, 695, 280, 630, 32, 91, 36, 85, 32, 9833, 3930, 2871, 26, 1112, 695, 27, 324, 415, 308, 784, 32, 2811, 711, 400, 1459, 440, 59, 36, 53, 44, 9145, 225, 34, 106, 23, 34, 36, 74, 4717, 225, 34, 106, 23, 34, 38, 74, 645, 2834, 225, 34, 106, 23, 34, 36, 74, 20, 904, 308, 784, 32, 2468, 30, 3594, 695, 549, 225, 34, 24988, 30, 2834, 490, 324, 442, 537, 695, 291, 2940, 45338, 44, 324, 1459, 440, 924, 23969, 225, 34, 106, 23, 34, 36, 74, 44, 3456, 1370, 439, 36, 53, 2965, 20, 904, 630, 32, 2468, 27, 324, 442, 429, 35, 284, 665, 1491, 4728, 26, 784, 30, 2834, 47, 34, 106, 42, 53, 711, 291, 442, 630, 32, 850, 5095, 26, 1582, 293, 284, 665, 1491, 3900, 26, 784, 30, 2834, 47, 34, 106, 42, 55, 711, 291, 442, 630, 32, 850, 5095, 26, 1582, 293, 284, 665, 1491, 62, 1662, 26, 784, 30, 19287, 280, 225, 34, 711, 291, 415, 308, 19512, 610, 225, 35, 556, 19287, 610, 225, 35, 40, 711, 324, 630, 32, 470, 22274, 26, 19512, 27, 4288, 38306, 280, 630, 32, 850, 4728, 346, 324, 14095, 280, 630, 32, 850, 3900, 346, 291, 4348, 308, 19512, 379, 34, 711, 4288, 630, 32, 470, 22274, 26, 35, 40, 27, 4288, 38306, 280, 630, 32, 850, 4728, 346, 324, 415, 308, 34557, 333, 225, 40, 39, 39, 37, 39, 711, 400, 14095 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 6, 6, 6, 4, 4, 5, 6, 4, 4, 5, 6, 6, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 8, 9, 9, 9, 7, 8, 8, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 2, 2, 2, 3, 4, 4, 5, 4, 6, 5, 6, 4, 3, 3, 5, 8, 7, 7, 8, 9, 6, 5, 5, 7, 10, 9, 10, 8, 7, 7, 12, 13, 13, 13, 11, 12, 12, 11, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 11, 8, 8, 8, 9, 12, 11, 12, 10, 9, 9, 11, 13, 13, 13, 13, 7, 7, 8, 8, 8, 13, 14, 14, 14, 12, 13, 13, 12, 13, 13, 13, 13, 12, 12, 13, 13, 13, 13, 12, 9, 9, 9, 10, 13, 12, 13, 11, 10, 10, 12, 14, 14, 14, 14, 6, 6, 9, 10, 8, 9, 6, 6, 6, 6, 9, 10, 9, 11, 10, 11, 9, 2, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 9, 8, 8, 11, 12, 12, 12, 10, 11, 11, 11, 11, 10, 11, 10, 6, 6, 9, 8, 8, 11, 12, 12, 12, 10, 11, 11, 11, 10, 11, 11, 10, 6, 6, 7, 10, 9, 10, 8, 7, 7, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 15, 14, 15, 13, 13, 15, 14, 14, 15, 15, 13, 13, 13, 6, 6, 7, 8, 5, 5, 6, 6, 6, 6, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 13, 10, 7, 7, 8, 10, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 6, 6, 6, 4, 3, 3, 5, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 6, 6, 6, 4, 3, 3, 5, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 6, 4, 3, 3, 5, 9, 8, 8, 9, 7, 7, 8, 8, 9, 9, 6, 5, 5, 9, 10, 10, 9, 10, 9, 6, 6, 8, 8, 10, 11, 11, 10, 6, 6, 8, 8, 10, 11, 11, 10, 5, 5, 6, 9, 8, 9, 7, 6, 6, 10, 11, 11, 10, 11, 11, 10, 7, 7, 9, 9, 11, 12, 12, 11, 7, 7, 8, 11, 10, 10, 11, 11, 11, 11, 11, 9, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 3, 3, 3, 2, 1, 2, 1, 2, 0, 3, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 3, 3, 3, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 3, 3, 0, 2, 0, 2, 3, 3, 3, 3, 0, 2, 1, 0, 1, 2, 1, 3, 3, 3, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 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, 2, 1, 1, 0, 1, 2, 2, 2, 0, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 0, 0, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 3, 3, 4, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 3, 3, 5, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 1, 1, 1, 3, 3, 6, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 6, 6, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 1, 3, 3, 0, 0, 0, 2, 2, 1, 0, 0, 4, 0, 1, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 1, 3, 3, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2 ]
[ 1070, 3619, 30055, 1188, 7703, 30, 2032, 1227, 14306, 30, 4356, 30, 18696, 30, 23332, 823, 30, 827, 14458, 203, 589, 3909, 81, 2516, 26, 1647, 711, 284, 3051, 81, 1647, 280, 2297, 32, 371, 81, 2388, 346, 284, 11815, 81, 1647, 280, 2297, 32, 669, 81, 3766, 81, 2011, 463, 1063, 683, 284, 3909, 81, 2516, 81, 2425, 37, 81, 1063, 26, 15377, 81, 1647, 27, 284, 11815, 81, 1647, 280, 2297, 32, 669, 81, 3766, 81, 2011, 463, 8038, 3482, 683, 284, 3909, 81, 2516, 81, 2425, 37, 81, 8038, 3482, 26, 15377, 81, 1647, 27, 284, 11815, 81, 1647, 280, 2297, 32, 669, 81, 3766, 81, 2011, 463, 2468, 2755, 683, 284, 3909, 81, 2516, 81, 2425, 37, 81, 2468, 2755, 26, 15377, 81, 1647, 27, 284, 11815, 81, 1647, 280, 2297, 32, 669, 81, 3766, 81, 2011, 463, 83, 431, 104, 683, 284, 3909, 81, 2516, 81, 2425, 37, 81, 83, 431, 104, 26, 15377, 81, 1647, 27, 284, 11815, 81, 1647, 280, 2297, 32, 669, 81, 3766, 81, 2011, 463, 4260, 35, 35, 101, 683, 284, 3909, 81, 2516, 81, 2425, 37, 81, 4260, 35, 35, 101, 26, 15377, 81, 1647, 27, 284, 11815, 81, 1647, 280, 2297, 32, 669, 81, 3766, 81, 2011, 463, 1306, 321, 683, 284, 3909, 81, 2516, 81, 2425, 37, 81, 1306, 321, 26, 15377, 81, 1647, 27, 284, 11815, 81, 1647, 280, 2297, 32, 669, 81, 3766, 81, 2011, 463, 3259, 683, 284, 3909, 81, 2516, 81, 2425, 37, 81, 3259, 26, 15377, 81, 1647, 27, 284, 11815, 81, 1647, 280, 2297, 32, 669, 81, 3766, 81, 2011, 463, 2441, 100, 683, 284, 3909, 81, 2516, 81, 2425, 37, 81, 2441, 100, 26, 15377, 81, 1647, 27, 203, 589, 3909, 81, 2516, 81, 2425, 37, 81, 1063, 26, 1647, 711, 284, 3051, 81, 1647, 280, 2297, 32, 371, 81, 2388, 346, 203, 589, 3909, 81, 2516, 81, 2425, 37, 81, 8038, 3482, 26, 1647, 711, 284, 3051, 81, 1647, 280, 2297, 32, 371, 81, 2388, 346, 203, 589, 3909, 81, 2516, 81, 2425, 37, 81, 2468, 2755, 26, 1647, 711, 284, 3051, 81, 1647, 280, 2297, 32, 371, 81, 2388, 346, 203, 589, 3909, 81, 2516, 81, 2425, 37, 81, 83, 431, 104, 26, 1647, 711, 284, 3051, 81, 1647, 280, 2297, 32, 371, 81, 2388, 346, 203, 589, 3909, 81, 2516, 81, 2425, 37, 81, 4260, 35, 35, 101, 26, 1647, 711, 284, 3051, 81, 1647, 280, 2297, 32, 371, 81, 2388, 346, 203, 589, 3909, 81, 2516, 81, 2425, 37, 81, 1306, 321, 26, 1647, 711, 284, 3051, 81, 1647, 280, 2297, 32, 371, 81, 2388, 346, 203, 589, 3909, 81, 2516, 81, 2425, 37, 81, 3259, 26, 1647, 711, 284, 3051, 81, 1647, 280, 2297, 32, 371, 81, 2388, 346, 203, 589, 3909, 81, 2516, 81, 2425, 37, 81, 2441, 100, 26, 1647, 711, 284, 3051, 81, 1647, 280, 2297, 32, 371, 81, 2388, 346, 203, 589, 3909, 81, 9147, 26, 2388, 81, 1647, 711, 284, 442, 203, 589, 3909, 81, 8239, 26, 2388, 81, 1647, 711, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 10, 10, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 11, 11, 1, 1, 2, 1, 1, 1, 2, 11 ]
[ 1070, 11385, 36492, 1188, 308, 7782, 30, 597, 5793, 15081, 30, 358, 30, 11713, 30, 8316, 30, 439, 30, 2910, 30, 1245, 30, 4511, 10712, 30, 17058, 30, 15455, 30, 337, 97, 30, 15944, 387, 1353, 30, 13040, 30, 546, 27, 203, 1070, 11385, 36492, 32, 8442, 32, 13495, 1188, 2723, 203, 1070, 11385, 36492, 32, 8183, 1188, 816, 30, 1288, 30, 831, 203, 1070, 11385, 36492, 32, 16064, 32, 12408, 1188, 29657, 30, 12899, 203, 1070, 11385, 36492, 32, 16064, 32, 6386, 858, 1188, 308, 284, 3995, 81, 11476, 81, 2171, 619, 10477, 85, 557, 106, 30, 284, 6144, 81, 10125, 1247, 619, 42244, 30, 284, 894, 81, 26875, 1353, 81, 10125, 1247, 619, 12077, 27, 203, 589, 894, 81, 8924, 3675, 1761, 2262, 284, 298, 280, 15223, 26, 1026, 23296, 1288, 326, 36, 27, 284, 1201, 298, 32, 4903, 26, 108, 27, 610, 298, 28, 36, 28, 108, 203, 589, 894, 81, 7782, 2262, 284, 29657, 26, 18082, 30, 9254, 44, 15223, 26, 35, 30, 225, 36, 30, 1288, 490, 284, 1201, 15223, 1162, 35, 30, 225, 36, 471, 308, 35, 28020, 1288, 27, 610, 15223, 26, 8924, 26, 35, 30, 225, 36, 471, 11713, 26, 35, 471, 1288, 27, 284, 420, 280, 15223, 1162, 35, 30, 225, 36, 471, 308, 37, 30, 225, 38, 30, 225, 39, 471, 1288, 27, 284, 1201, 420, 32, 368, 610, 11713, 26, 35, 30, 225, 36, 27, 284, 1201, 420, 32, 27804, 610, 11713, 26, 37, 30, 225, 38, 30, 225, 39, 27, 284, 1201, 420, 32, 2669, 610, 1288, 284, 1201, 420, 32, 297, 81, 508, 2278, 1353, 438, 2933, 284, 1201, 42244, 26, 7782, 26, 8924, 1026, 11713, 1026, 1288, 471, 2910, 26, 108, 471, 1288, 27, 284, 1201, 42244, 26, 108, 28, 7782, 1162, 35, 30, 225, 35, 471, 11713, 26, 36, 471, 429, 108, 471, 1245, 26, 35, 474, 1288, 471, 1288, 27, 284, 420, 280, 15223, 26, 291, 308, 6386, 85, 557, 106, 1026, 10477, 85, 557, 106, 1026, 10477, 85, 557, 106, 6182, 308, 6386, 85, 557, 106, 1026, 10477, 85, 557, 106, 6182, 1288, 27, 284, 1201, 12077, 26, 90, 30, 1288, 27, 284, 312, 35, 30, 312, 36, 30, 323, 35, 30, 323, 36, 30, 323, 37, 280, 15455, 463, 83, 35, 44, 37, 30, 323, 35, 44, 38, 683, 284, 1201, 15223, 1162, 83, 35, 30, 312, 36, 471, 308, 84, 35, 30, 323, 36, 30, 323, 37, 471, 1288, 547, 4903, 26, 108, 27, 610, 766, 291, 312, 35, 28, 83, 36, 13824, 84, 35, 28, 84, 36, 28, 84, 37, 27, 319, 15223, 1162, 83, 35, 474, 225, 35, 30, 312, 36, 474, 225, 35, 471, 308, 84, 35, 474, 225, 35, 30, 323, 36, 474, 225, 35, 30, 323, 37, 474, 225, 35, 471, 1288, 27, 284, 1201, 15223, 2009, 108, 614, 5518, 1288, 547, 4903, 26, 108, 27, 610, 15944, 387, 1353, 26, 7782, 2009, 108, 614, 5518, 1288, 471, 1288, 27, 284, 645, 11385, 36492, 1188, 38060, 81, 23957, 284, 1201, 15223, 2009, 34560, 81, 23957, 26, 108, 14155 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 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, 3, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 1, 1, 4, 4, 4, 4, 2, 2, 3, 3, 3, 1, 1, 1, 4, 4, 4, 2, 2, 1, 1, 1, 4, 4, 4, 4, 4, 4, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 6, 7, 8, 6, 2, 2, 3, 6, 7, 6, 7, 6, 4, 4, 6, 7, 5, 6, 0, 1, 1, 2, 2, 2, 1, 1, 5, 6, 5, 5, 6, 6, 8, 9, 8, 8, 9, 8, 8, 8, 2, 2, 3, 6, 8, 7, 7, 8, 7, 6, 8, 7, 6, 6, 4, 4, 6, 8, 8, 9, 8, 8, 9, 8, 6, 8, 9, 8, 6, 6, 2, 2, 4, 4, 6, 8, 7, 7, 8, 7, 6, 8, 7, 7, 8, 7, 7, 8, 7, 6, 6, 2, 2, 3, 5, 6, 4, 4, 6, 7, 6, 6, 7, 6, 2, 2, 3, 5, 6, 4, 4, 6, 7, 6, 6, 7, 6, 6, 7, 6, 2, 2, 3, 5, 6, 4, 4, 2, 2, 3, 5, 6, 6, 6, 6, 6, 4, 4, 2, 2, 3, 5, 7, 7, 9, 9, 7, 9, 7, 7, 5, 7, 8, 7, 5, 5, 2, 2, 3, 5, 7, 6, 8, 8, 10, 9, 9, 10, 9, 8, 10, 11, 10, 8, 10, 8, 5, 7, 9, 8, 8, 7, 5, 5, 2, 2, 4, 4, 6, 6, 6, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 6, 6, 2, 2, 3, 5, 6, 5, 5, 5, 2, 2, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 8, 10, 10, 9, 9, 10, 9, 8, 10, 10, 9, 9, 10, 9, 9, 10, 9, 8, 8, 7, 6, 7, 6, 4, 4, 5, 4, 8, 7, 8, 8, 6, 10, 10, 9, 10, 10, 8, 9, 9, 7, 5, 5, 7, 10, 10, 9, 9, 10, 8, 8, 10, 9, 9, 10, 8, 7, 10, 10, 9, 9, 10, 8, 8, 10, 9, 9, 10, 8, 8, 10, 9, 9, 10, 8, 7, 7, 2, 2, 3, 8, 10, 9, 8, 8, 8, 7, 6, 7, 6, 4, 4, 6, 6, 6, 8, 8, 10, 9, 8, 8, 8, 6, 6, 2, 2, 3, 5, 3, 3, 5, 5, 2, 2, 3, 6, 9, 9, 9, 9, 10, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 2, 2, 2, 4, 4, 4, 0, 0, 0, 6, 6, 4, 4, 4, 0, 0, 0, 0, 0, 0, 8, 8, 4, 0, 5, 5, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 5, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 6, 6, 1, 1, 2, 6, 6, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 1, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 5, 0, 2, 1, 1, 4, 4, 6, 0, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 8, 1, 0, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 3, 0, 0, 0, 1, 1, 1, 4, 4, 10, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 4, 0, 0, 6, 0, 0, 8, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 12, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 3, 3, 1, 0, 0, 1, 1, 2, 1, 1, 0, 3, 3, 2, 1, 1, 0, 0, 1, 1, 2, 3, 3, 0, 3, 3, 2, 3, 3, 0, 5, 5, 2, 3, 1, 1, 4, 4, 13, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 14, 0, 14, 14, 0, 0, 4, 4, 15, 1, 0, 0, 0, 1, 1, 1 ]
[ 465, 24495, 203, 1070, 15323, 1816, 32, 5057, 32, 2238, 1188, 3219, 81, 2238, 81, 1070, 81, 3550, 203, 1070, 15323, 1816, 32, 7982, 1188, 622, 81, 7982, 203, 1070, 312, 265, 520, 373, 32, 8183, 1188, 7400, 11340, 30, 7400, 7935, 203, 1070, 312, 265, 520, 373, 32, 2304, 1188, 3909, 81, 7263, 203, 823, 7537, 11340, 26, 5584, 11340, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 1664, 81, 5321, 711, 291, 2599, 17094, 1664, 3207, 326, 1664, 81, 5321, 27, 291, 630, 1114, 2238, 280, 1665, 291, 630, 1114, 5837, 280, 24495, 32, 371, 81, 1567, 81, 5837, 346, 291, 630, 1114, 7982, 280, 622, 81, 7982, 346, 291, 630, 1114, 7263, 81, 5914, 280, 3909, 81, 7263, 26, 324, 630, 1114, 7982, 30, 324, 313, 4680, 392, 324, 313, 2238, 81, 6263, 101, 81, 5914, 81, 2999, 392, 324, 3330, 291, 829, 284, 2498, 665, 11656, 26, 784, 711, 291, 630, 1114, 2238, 280, 2014, 3219, 81, 2238, 81, 1070, 81, 3550, 26, 784, 1114, 1664, 81, 5321, 27, 291, 2014, 630, 1114, 2238, 32, 3517, 346, 284, 2498, 665, 3621, 26, 784, 711, 291, 2014, 630, 1114, 2238, 32, 2679, 346, 284, 2498, 665, 2164, 81, 6263, 26, 784, 30, 5797, 44, 7400, 7935, 711, 291, 25288, 280, 5797, 3667, 823, 29215, 426, 9818, 5729, 346, 291, 2014, 630, 1114, 2238, 32, 7211, 26, 6263, 32, 302, 81, 2665, 30, 2884, 39201, 520, 373, 32, 6263, 81, 5914, 32, 40637, 1643, 26, 35783, 471, 9658, 291, 630, 1114, 7982, 32, 28511, 32, 371, 26, 784, 1114, 7263, 81, 5914, 547, 3563, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 6, 4, 3, 3, 9, 8, 8, 8, 9, 9, 9, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 9, 10, 8, 8, 8, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 8, 2, 2, 3, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 11, 10, 11, 11, 11, 9, 4, 4, 6, 9, 10, 8, 9, 8, 2, 2, 3, 3, 4, 5, 4, 3, 3, 6, 9, 10, 8, 9, 8, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 5, 5, 7, 4, 3, 3, 6, 6, 10, 11, 11, 10, 10, 9, 8, 4, 4, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 11, 9, 4, 4, 11, 12, 10, 11, 9, 10, 9, 11, 10, 11, 11, 11, 9, 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 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 1, 2, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 4, 1, 1, 3, 1, 3, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 5, 5, 0, 0, 2, 0, 2, 1, 4, 4, 2, 2, 3, 1, 3, 2, 2, 0, 0, 2, 0, 2, 1, 4, 4, 3, 3, 2, 2, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 5, 5, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 30, 1133, 30, 5237, 30, 3995, 203, 3731, 32, 983, 32, 8233, 4901, 45532, 497, 1195, 877, 497, 1195, 978, 3490, 203, 465, 420, 36, 97, 30, 420, 36, 97, 81, 3515, 30, 420, 36, 97, 81, 465, 619, 420, 36, 91, 203, 465, 420, 36, 97, 81, 14304, 619, 420, 36, 84, 203, 589, 2866, 81, 9381, 81, 5613, 26, 4700, 1215, 426, 30, 2698, 1534, 30, 3338, 750, 30, 540, 720, 711, 284, 343, 6449, 280, 2156, 26, 4700, 1215, 426, 30, 313, 105, 36998, 284, 343, 6449, 32, 1821, 26, 2111, 750, 474, 2706, 96, 657, 284, 436, 595, 328, 2155, 26, 43926, 711, 291, 540, 280, 540, 720, 77, 3855, 32, 21378, 26, 34, 30, 35, 2177, 474, 17693, 474, 596, 26, 3855, 32, 21378, 26, 34, 30, 41, 490, 291, 343, 6449, 32, 1821, 26, 100, 474, 2706, 96, 657, 284, 343, 6449, 32, 2679, 346, 203, 589, 10477, 81, 45456, 26, 748, 1534, 711, 284, 2698, 750, 280, 428, 3855, 32, 21378, 26, 34, 30, 41, 27, 436, 595, 328, 2155, 26, 748, 1534, 2177, 284, 2698, 750, 35, 47, 3003, 2296, 2524, 26, 1110, 26, 466, 30, 45456, 490, 284, 2698, 750, 280, 428, 3855, 32, 21378, 26, 34, 30, 41, 27, 436, 595, 328, 2155, 26, 748, 1534, 2177, 284, 2698, 750, 36, 47, 3003, 2296, 2524, 26, 1110, 26, 466, 30, 45456, 490, 284, 540, 280, 428, 45456, 35, 30, 2698, 750, 36, 79, 284, 442, 540, 203, 823, 9261, 26, 18986, 32, 7233, 711, 284, 665, 28921, 26, 784, 711, 291, 420, 36, 97, 32, 1553, 81, 18138, 81, 979, 81, 4275, 346, 284, 477, 17614, 284, 665, 14553, 1339, 26, 6933, 711, 291, 3649, 5490, 1345, 291, 5490, 1345, 280, 420, 36, 97, 32, 5522, 81, 3855, 81, 7389, 346, 291, 420, 36, 97, 32, 1664, 26, 36, 30, 1859, 81, 14344, 81, 3347, 47, 35, 37, 34, 34, 30, 539, 81, 6849, 761, 47, 1815, 27, 284, 477, 17614, 284, 665, 28921, 1339, 26, 6933, 711, 291, 420, 36, 97, 32, 519, 282, 81, 1746, 81, 3209, 346, 284, 665, 894, 81, 2208, 81, 3647, 318, 81, 2111, 26, 784, 711, 291, 1459, 313, 2797, 3338, 47, 35, 30, 461, 322, 1932, 1351, 432, 1932, 1628, 438, 588, 30, 322, 588, 1395, 526, 6556, 33, 30035, 20, 474, 766, 324, 313, 363, 322, 1628, 8436, 20165, 619, 312, 3338, 20, 291, 39107, 34093, 69, 81, 3197, 280, 420, 36, 97, 32, 2682, 81, 9381, 81, 1515, 346, 291, 11412, 10239, 280, 313, 9381, 81, 28357, 32, 4700, 20, 291, 11412, 1215, 426, 280, 39107, 34093, 69, 81, 3197, 474, 13637, 474, 11412, 10239, 291, 3338, 750, 280, 313, 779, 30, 44080, 7225, 30, 3470, 30, 68, 3266, 30, 54, 2383, 69, 30, 4423, 1893, 69, 30, 66, 3551, 30, 18440, 30, 16823, 29608, 30, 2024, 20, 291, 1596, 720, 280, 428, 324, 308, 36, 30, 225, 37, 30, 225, 43, 30, 330, 85, 51, 370, 225, 40, 34, 30, 5100, 2113, 324, 308, 36, 30, 225, 37, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 4, 5, 3, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 4, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 6, 6, 8, 8, 2, 2, 6, 5, 6, 5, 7, 7, 6, 6, 9, 8, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 6, 6, 10, 9, 12, 11, 12, 11, 12, 11, 12, 11, 8, 8, 7, 7, 9, 12, 11, 12, 11, 12, 11, 12, 11, 4, 4, 8, 7, 8, 7, 9, 8, 8, 11, 10, 2, 2, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 8, 7, 8, 7, 8, 7, 8, 7, 5, 6, 6, 6, 8, 9, 9, 8, 2, 2, 5, 5, 4, 4, 8, 7, 6, 8, 8, 9, 8, 9, 8, 2, 2, 5, 4, 4, 8, 7, 8, 7, 8, 7, 8, 7, 5, 6, 6, 6, 8, 9, 9, 8, 2, 2, 5, 5, 4, 4, 8, 7, 6, 8, 8, 9, 8, 9, 8, 2, 2, 4, 4, 6, 6, 5, 5, 6, 6, 5, 2, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 7, 5, 5, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 9, 5, 5, 9, 9, 8, 9, 8, 9, 8, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 8, 10, 10, 10, 10, 9, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 8, 8, 7, 7, 8, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 6, 6, 7, 7, 9, 8, 8, 9, 8, 8, 9, 8, 8, 10, 10, 10, 8, 9, 9, 8, 8, 10, 7, 7, 9, 8, 8, 9, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 5, 2, 2, 0, 3, 3, 0, 0, 0, 0, 1, 1, 2, 2, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 4, 4, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 3, 1, 5, 5, 0, 0, 2, 1, 0, 1, 1, 0, 2, 4, 4, 0, 0, 2, 1, 0, 5, 5, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 3, 1, 4, 4, 0, 0, 1, 1, 2, 2, 3, 3, 2, 4, 4, 5, 0, 6, 6, 2, 0, 1, 2, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 1, 0, 0, 0, 0, 5, 2, 1, 4, 4, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 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, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 2, 1, 9, 9, 1, 1, 2, 2, 2, 1, 3, 3, 3, 3 ]
[ 465, 2322, 30, 5237, 30, 2361, 30, 1984, 2208, 30, 22045, 203, 589, 622, 81, 2387, 26, 2387, 81, 15705, 711, 284, 3261, 81, 5660, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 284, 3079, 81, 5660, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 1423, 81, 5660, 30, 20079, 27203, 392, 20079, 313, 2387, 2131, 284, 3079, 81, 3607, 280, 2322, 32, 983, 32, 2524, 26, 2387, 81, 5660, 30, 3079, 81, 15705, 293, 284, 623, 2156, 26, 2387, 81, 3607, 30, 313, 100, 657, 619, 296, 44, 291, 442, 296, 32, 850, 346, 203, 589, 622, 81, 1586, 4965, 81, 6946, 81, 1299, 881, 26, 1299, 881, 30, 40525, 81, 4254, 280, 313, 1499, 35, 7144, 44, 284, 415, 3706, 881, 32, 15990, 26, 46716, 81, 4254, 711, 291, 442, 3706, 881, 77, 1657, 26, 46716, 81, 4254, 711, 79, 284, 813, 44, 291, 442, 40525, 81, 4254, 474, 3706, 881, 203, 589, 1487, 81, 7344, 81, 965, 26, 1357, 30, 8184, 81, 6946, 280, 3177, 711, 284, 8436, 280, 1984, 2208, 32, 965, 2998, 26, 1357, 32, 965, 27, 284, 8050, 81, 1299, 881, 280, 8436, 32, 1299, 881, 284, 415, 8184, 81, 6946, 44, 291, 8050, 81, 1299, 881, 280, 622, 81, 1586, 4965, 81, 6946, 81, 1299, 881, 26, 12881, 32, 1299, 881, 27, 284, 8050, 81, 965, 280, 1984, 2208, 32, 965, 311, 2998, 26, 965, 2208, 32, 7334, 1394, 26, 291, 12841, 280, 8436, 32, 13627, 30, 291, 3706, 881, 280, 8050, 81, 1299, 881, 30, 291, 1519, 280, 8436, 32, 983, 30, 291, 2467, 280, 1665, 30, 291, 10290, 280, 1665, 490, 284, 442, 8050, 81, 965, 203, 589, 5668, 26, 965, 30, 1789, 711, 284, 1789, 32, 669, 81, 3648, 81, 5078, 280, 3177, 284, 1789, 32, 7572, 32, 1821, 81, 1517, 26, 37, 34, 35, 27, 284, 1789, 32, 7572, 32, 1821, 81, 2111, 440, 3560, 31, 2435, 31, 4568, 31, 6946, 392, 11570, 657, 284, 1789, 32, 7572, 32, 1821, 81, 2111, 440, 2645, 392, 1984, 27, 284, 1789, 32, 7572, 32, 416, 81, 5078, 346, 284, 1789, 32, 7572, 32, 1821, 17987, 203, 589, 28671, 81, 1092, 2721, 26, 1357, 30, 1789, 711, 284, 415, 313, 1092, 2721, 20, 646, 328, 1326, 32, 2788, 44, 291, 442, 3177, 284, 3346, 2721, 280, 1326, 32, 2788, 1365, 1092, 2721, 1446, 284, 415, 3346, 2721, 610, 313, 1347, 31, 7344, 563, 291, 442, 3177, 284, 4348, 3346, 2721, 610, 313, 10504, 31, 6946, 31, 7344, 563, 291, 5668, 81, 965, 280, 1487, 81, 7344, 81, 965, 26, 1357, 30, 8184, 81, 6946, 280, 3177, 27, 284, 4348, 3346, 2721, 610, 313, 10415, 31, 6946, 31, 7344, 563, 291, 5668, 81, 965, 280, 1487, 81, 7344, 81, 965, 26, 1357, 30, 8184, 81, 6946, 280, 2933, 27, 284, 813, 44, 291, 3636, 10091, 440, 3817, 3346, 2721, 827, 6611, 101, 7362, 904, 3346, 2721, 27, 284, 5668, 26, 7344, 81, 965, 30, 1789, 27, 284, 442, 2933, 203, 589, 1156, 16967 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 8, 10, 8, 8, 10, 10, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 8, 9, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 5, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 3, 3, 5, 5, 5, 1, 1, 1, 3, 6, 5, 6, 5, 6, 6, 6, 5, 3, 3, 5, 7, 6, 9, 9, 10, 10, 10, 9, 6, 3, 3, 4, 4, 4, 6, 8, 8, 7, 7, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 3, 2, 1, 1, 4, 4, 7, 6, 7, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 9, 10, 10, 8, 2, 2, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 9, 9, 8, 9, 9, 8, 8, 8, 9, 9, 10, 11, 8, 8, 8, 10, 9, 9, 10, 10, 10, 8, 8, 8, 9, 9, 10, 11, 8, 8, 8, 9, 9, 8, 8, 8, 9, 9, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 5, 6, 6, 6, 6, 6, 4, 4, 2, 2, 6, 7, 5, 6, 6, 6, 5, 6, 6, 6, 5, 2, 2, 6, 7, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 2, 2, 6, 7, 5, 6, 6, 6, 5, 7, 7, 5, 5, 2, 2, 6, 7, 5, 6, 6, 6, 5, 2, 2, 6, 7, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 6, 6, 4, 4, 4, 5, 6, 3, 3, 3, 5, 2, 2, 5, 4, 4, 6, 7, 5, 7, 7, 7, 2, 2, 3, 5, 4, 4, 6, 6, 6, 6, 3, 3, 5, 3, 3, 4, 6, 5, 5, 7, 7, 7, 7, 7, 7, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 9, 10, 9, 9, 11, 11, 10, 10, 9, 3, 3, 4, 6, 5, 5, 7, 7, 7, 7, 7, 7, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 9, 10, 9, 9, 11, 11, 10, 10, 9, 3, 3, 4, 4, 4, 6, 8, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 8, 2, 2, 5, 6, 6, 6, 5, 5, 5, 2, 2, 3, 0, 1, 1, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 3, 3, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 1, 1, 2, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 3, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 3, 3, 2, 2, 2, 1, 1, 1, 5, 5, 2, 2, 1, 1, 1, 7, 7, 1, 1, 1, 9, 9, 1, 4, 4, 4, 1, 1, 0, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 5, 5, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 2, 4, 4, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 3, 1, 2, 2, 5, 0, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 3, 1, 2, 2, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 6, 6, 1 ]
[ 109, 284, 330, 8425, 950, 428, 291, 2107, 2636, 11490, 4229, 20, 556, 6642, 11490, 2594, 17209, 21684, 301, 324, 330, 9578, 950, 301, 1090, 330, 37349, 81, 2388, 950, 4145, 4482, 2949, 904, 99, 3778, 26, 1647, 81, 2388, 81, 1515, 14451, 370, 324, 801, 324, 330, 12443, 950, 428, 400, 301, 528, 330, 1977, 81, 426, 950, 330, 54, 4790, 2570, 17397, 370, 528, 330, 11250, 950, 428, 715, 330, 86, 5707, 81, 6385, 32, 1152, 370, 715, 330, 86, 5707, 81, 17781, 32, 1152, 370, 715, 330, 86, 5707, 81, 2669, 32, 1152, 25, 528, 2505, 528, 330, 1017, 81, 15615, 950, 428, 2855, 330, 1356, 352, 2632, 370, 2855, 4145, 4482, 1251, 429, 87, 313, 1981, 31962, 10095, 78, 683, 657, 370, 528, 2505, 528, 330, 10950, 950, 428, 715, 330, 1356, 352, 2632, 25, 528, 2505, 528, 330, 20404, 950, 428, 715, 6470, 62, 21484, 37349, 81, 2388, 4165, 1356, 352, 2632, 429, 94, 1770, 2632, 25, 528, 1481, 400, 801, 400, 301, 528, 330, 1977, 81, 426, 950, 330, 1356, 352, 2632, 370, 528, 330, 681, 950, 330, 4108, 370, 528, 330, 3543, 950, 7316, 715, 330, 8075, 950, 2107, 2188, 715, 330, 10931, 950, 2107, 2188, 715, 330, 1141, 81, 426, 950, 330, 1832, 81, 1356, 352, 2632, 370, 17790, 202, 351, 330, 1141, 950, 428, 1014, 330, 615, 370, 330, 1356, 352, 2632, 31, 1832, 32, 615, 25, 24794, 1481, 528, 16752, 400, 320, 324, 1481, 291, 801, 291, 301, 324, 330, 12443, 950, 428, 8982, 301, 528, 330, 1977, 81, 426, 950, 330, 54, 4790, 2570, 9816, 370, 528, 330, 681, 950, 330, 4108, 25, 400, 320, 324, 1481, 291, 16752, 284, 1481, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 9, 9, 7, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 9, 9, 7, 8, 8, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 11, 11, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 11, 11, 9, 9, 12, 12, 12, 12, 10, 11, 11, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 13, 13, 11, 11, 9, 9, 12, 12, 10, 11, 11, 13, 13, 13, 13, 11, 11, 9, 9, 12, 12, 10, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 9, 9, 8, 8, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 12, 12, 15, 15, 13, 16, 12, 12, 15, 15, 13, 16, 12, 12, 15, 15, 15, 15, 13, 15, 15, 15, 15, 15, 15, 12, 12, 12, 12, 15, 15, 13, 14, 14, 16, 16, 14, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 12, 12, 9, 9, 8, 8, 6, 6, 5, 5, 6, 6, 9, 9, 7, 8, 8, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 9, 9, 8, 8, 6, 6, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 1, 2, 3, 1, 2, 3, 3, 1, 2, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 7, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 3, 2, 2, 3, 3, 1, 1, 5, 5, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 2, 2, 5, 5, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 20515, 453, 905, 32, 2282, 32, 605, 81, 3378, 619, 4549, 203, 823, 9041, 10537, 26, 3378, 32, 1761, 31769, 711, 284, 665, 1156, 1664, 3207, 784, 30, 15871, 47, 2521, 30, 11171, 47, 2521, 30, 22449, 47, 2521, 30, 4203, 47, 2521, 30, 353, 4749, 47, 2521, 30, 14031, 81, 639, 47, 2521, 711, 291, 630, 32, 12256, 280, 15871, 291, 630, 32, 6572, 280, 11171, 291, 630, 32, 22580, 280, 22449, 291, 630, 32, 4298, 280, 4203, 291, 630, 32, 639, 280, 4749, 291, 630, 32, 4945, 81, 639, 280, 14031, 81, 639, 203, 823, 12437, 26, 3378, 32, 1761, 31769, 711, 284, 665, 1156, 1664, 3207, 784, 30, 15871, 47, 2521, 30, 11171, 47, 2521, 30, 1503, 47, 2521, 30, 353, 4125, 81, 1648, 47, 2521, 711, 291, 630, 32, 12256, 280, 15871, 291, 630, 32, 6572, 280, 11171, 291, 630, 32, 1648, 280, 1503, 291, 630, 32, 1237, 81, 1648, 280, 4125, 81, 1648, 203, 823, 13565, 26, 3378, 32, 1761, 31769, 711, 284, 665, 1156, 1664, 3207, 784, 30, 15871, 47, 2521, 30, 11171, 47, 2521, 30, 1503, 47, 2521, 30, 353, 4125, 81, 1648, 47, 2521, 30, 3984, 81, 1483, 47, 2521, 30, 3984, 81, 6662, 47, 2521, 30, 353, 4523, 47, 2521, 30, 420, 31368, 81, 998, 47, 2521, 30, 10895, 47, 2521, 30, 4117, 47, 2521, 30, 353, 9519, 47, 2521, 30, 2454, 47, 2521, 30, 18383, 47, 2521, 30, 7599, 47, 2521, 711, 291, 630, 32, 12256, 280, 15871, 291, 630, 32, 6572, 280, 11171, 291, 630, 32, 1648, 280, 1503, 291, 630, 32, 1237, 81, 1648, 280, 4125, 81, 1648, 291, 630, 32, 4573, 81, 1483, 280, 3984, 81, 1483, 291, 630, 32, 4573, 81, 6662, 280, 3984, 81, 6662, 291, 630, 32, 2480, 280, 4523, 291, 630, 32, 45154, 81, 998, 280, 420, 31368, 81, 998, 291, 630, 32, 6281, 280, 10895, 291, 630, 32, 5566, 280, 4117, 291, 630, 32, 10300, 280, 9519, 291, 630, 32, 944, 280, 2454, 556, 1605, 291, 630, 32, 21299, 280, 18383, 556, 1605, 291, 630, 32, 5043, 280, 7599, 556, 1605, 203, 823, 10218, 26, 3378, 32, 1761, 31769, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3380, 47, 2521, 30, 1256, 47, 2521, 30, 2664, 47, 2521, 30, 16783, 81, 14398, 47, 2521, 711, 291, 630, 32, 2999, 280, 3380, 291, 630, 32, 496, 280, 1256, 291, 630, 32, 2946, 280, 2664, 291, 630, 32, 1685, 81, 14398, 280, 16783, 81, 14398, 203, 823, 11348, 26, 3378, 32, 1761, 31769, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3380, 47, 2521, 30, 3741, 47, 2521, 30, 3304, 47, 2521, 30, 17373, 47, 2521, 30, 353, 10814, 47, 2521, 30, 12947, 81, 3985, 47, 2521, 30, 7176, 47, 2521, 30, 309, 4785, 47, 2521, 30, 353, 28666, 81, 302, 47, 2521, 711, 291, 630, 32, 2999, 280, 3380, 291, 630, 32, 3994, 280, 3741, 291, 630, 32, 7230, 280, 3304, 291, 630, 32, 15657, 280, 17373, 291, 630, 32, 10569, 280, 10814, 291, 630, 32, 10415, 81, 3985, 280, 12947, 81, 3985, 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, 4, 4, 3, 4, 3, 4, 4, 4, 2, 2, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 0, 1, 1, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 0, 1, 1, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 0, 1, 1, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 0, 1, 1, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4 ]
[ 0, 0, 0, 0, 0, 2, 0, 4, 4, 4, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 2, 0, 0, 13, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 3, 3, 2, 0, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 2, 15, 2, 2, 2, 0, 0, 0, 17, 2, 2, 2, 19, 2, 2, 2, 21, 2, 2, 2, 2, 23, 2, 2, 2, 25, 2, 2, 2, 27, 2, 2, 2, 29, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 0, 4, 4, 2, 0, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 0, 9, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 5, 5, 2, 0, 1, 2, 2, 2, 5, 5, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 15, 2, 2, 2, 0, 17, 2, 2, 2, 2, 0, 0, 19, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 30, 623, 81, 9849, 203, 465, 11412, 203, 465, 7138, 203, 465, 7515, 203, 465, 2322, 203, 465, 316, 203, 1070, 273, 38200, 1188, 15820, 203, 1070, 273, 38200, 32, 751, 1188, 4479, 81, 751, 203, 1070, 273, 38200, 32, 1040, 1188, 1044, 203, 81, 1536, 81, 6921, 280, 313, 272, 81, 2045, 20, 203, 81, 22902, 280, 2149, 203, 81, 7095, 81, 32044, 280, 20073, 470, 2009, 81, 1536, 81, 6921, 1130, 203, 81, 539, 81, 33170, 280, 3177, 203, 589, 622, 2740, 6921, 81, 7787, 711, 284, 442, 23265, 32, 371, 81, 19093, 2740, 6921, 81, 7787, 27, 203, 589, 739, 81, 1536, 81, 6921, 26, 687, 711, 284, 3649, 617, 1536, 81, 6921, 284, 3649, 617, 7095, 81, 32044, 284, 617, 1536, 81, 6921, 280, 1340, 284, 617, 7095, 81, 32044, 280, 20073, 470, 26, 668, 2176, 22902, 32, 3494, 1157, 474, 20300, 1536, 81, 6921, 1130, 203, 589, 2454, 81, 22902, 26, 5660, 711, 1568, 3649, 617, 22902, 284, 3649, 617, 7095, 81, 32044, 284, 617, 22902, 280, 2149, 284, 436, 1519, 328, 2322, 32, 26366, 26, 5660, 711, 291, 415, 646, 1519, 32, 20643, 5791, 4700, 10280, 324, 4036, 291, 11259, 30, 5016, 280, 1519, 32, 2998, 46661, 291, 415, 646, 316, 32, 2872, 9670, 83, 31, 108, 6155, 2176, 77, 51, 31, 76, 6155, 6505, 30145, 11259, 711, 324, 4479, 81, 751, 32, 731, 440, 41901, 11259, 904, 100, 308, 983, 44, 904, 101, 5715, 11259, 30, 3775, 2322, 32, 983, 32, 2524, 26, 5660, 30, 1519, 490, 324, 4036, 291, 3536, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 5660, 30, 1519, 27, 291, 1596, 44, 324, 588, 1468, 588, 1468, 296, 280, 2156, 26, 2620, 81, 983, 30, 313, 100, 392, 7328, 347, 3310, 31, 42, 657, 291, 2940, 12678, 44, 324, 588, 1468, 296, 280, 2156, 26, 2620, 81, 983, 30, 313, 100, 657, 291, 617, 22902, 77, 6921, 79, 280, 2149, 291, 436, 595, 30, 2698, 328, 10703, 26, 4700, 32, 6308, 26, 88, 8531, 324, 415, 646, 2698, 556, 2069, 26, 643, 27, 333, 225, 36, 44, 400, 4036, 324, 2698, 280, 428, 11731, 32, 452, 81, 9941, 26, 85, 547, 7201, 346, 436, 281, 328, 2698, 79, 324, 40230, 30, 13178, 280, 2698, 2867, 36, 79, 324, 415, 2069, 26, 643, 27, 848, 225, 36, 44, 400, 29000, 280, 2698, 77, 36, 79, 556, 313, 6876, 20, 324, 813, 44, 400, 29000, 280, 313, 6876, 20, 324, 415, 29000, 646, 328, 2884, 25857, 392, 313, 37579, 392, 313, 6876, 10280, 400, 4479, 81, 751, 32, 731, 440, 41901, 29000, 18384, 904, 100, 328, 904, 101, 1628, 904, 86, 392, 4985, 29000, 30, 1519, 30, 595, 474, 225, 35, 27, 400, 4036, 324, 617, 22902, 77, 6921, 997, 37329, 26, 25857, 30, 12797, 77, 20426, 79, 280, 13178, 291, 296, 32, 2679, 346, 284, 617, 7095, 81, 32044, 280, 20073, 470, 26, 668, 2176, 22902, 32, 3494, 1157, 474, 20300, 1536, 81, 6921, 1130, 284, 4479 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 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, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 6, 6, 6, 6, 5, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 4, 4, 4, 2, 1, 1, 3, 5, 6, 6, 6, 5, 7, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 2, 2, 3, 4, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 6, 6, 9, 9, 12, 11, 12, 11, 7, 7, 9, 9, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 0, 0, 1, 2, 2, 2, 0, 0, 3, 2, 2, 0, 0, 1, 1, 1, 3, 4, 3, 4, 3, 1, 1, 3, 4, 6, 7, 6, 8, 8, 3, 3, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 3, 3, 8, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 10, 11, 9, 10, 9, 10, 9, 9, 9, 4, 4, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 6, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 5, 6, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 5, 8, 7, 8, 7, 8, 7, 3, 3, 5, 7, 6, 6, 9, 10, 9, 7, 7, 8, 5, 5, 5, 4, 4, 6, 6, 12, 11, 12, 12, 12, 11, 12, 11, 10, 9, 7, 8, 8, 8, 7, 4, 4, 7, 7, 6, 6, 7, 9, 7, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 8, 8, 10, 11, 10, 9, 9, 11, 11, 5, 5, 6, 6, 6, 9, 9, 11, 11, 4, 4, 5, 6, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 5, 5, 10, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 9, 9, 9, 10, 10, 11, 9, 6, 6, 4, 4, 11, 10, 11, 10, 10, 9, 10, 9, 9, 7, 8, 7, 6, 6, 2, 2, 5, 6, 5, 0, 0, 3, 3, 3, 2, 2, 4, 4, 7, 7, 10, 9, 10, 9, 5, 5, 7, 7, 7, 6, 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, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 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, 13, 13, 2, 1, 1, 1, 2, 13, 13, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 14, 14, 1, 1, 1, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 1, 0, 0, 16, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 18, 18, 18, 0, 2, 1, 1, 1, 18, 18, 0, 1, 0, 2, 1, 1, 2, 0, 0, 5, 5, 0, 0, 0, 0, 0, 2, 1, 5, 5, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 2, 0, 0, 0, 5, 5, 7, 1, 1, 7, 7, 1, 0, 0, 2, 1, 1, 1, 7, 7, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 1, 2, 5, 5, 3, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 0, 0, 2, 0, 2, 2, 1, 2, 3, 3, 4, 4, 4, 0, 0, 1, 2, 5, 5, 4, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 7, 7, 2, 1, 3, 3, 5, 5, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 5, 5, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0 ]
[ 465, 1288, 3034, 21118, 348, 6001, 32, 858, 81, 1293, 619, 8349, 81, 2111, 203, 1006, 1711, 280, 8349, 81, 2111, 32, 1006, 1711, 203, 589, 1519, 2262, 284, 442, 5436, 26, 4332, 81, 1782, 347, 2387, 36, 392, 291, 1519, 81, 668, 6020, 77, 1006, 1711, 32, 1297, 81, 7236, 30, 313, 7236, 35, 392, 30597, 49114, 3439, 78, 291, 428, 1006, 1711, 32, 9959, 81, 7236, 30, 313, 3149, 35, 392, 313, 7236, 35, 3439, 766, 291, 428, 1006, 1711, 32, 1297, 81, 7236, 81, 10181, 30, 313, 7236, 35, 392, 313, 10181, 35, 392, 30597, 2620, 3439, 766, 203, 202, 77, 1006, 1711, 32, 1297, 81, 7236, 81, 10799, 30, 313, 7236, 35, 392, 313, 10799, 40, 36, 3439, 766, 291, 428, 1006, 1711, 32, 1297, 81, 7236, 81, 10799, 30, 313, 7236, 35, 392, 313, 10799, 40, 37, 3439, 766, 203, 202, 77, 1006, 1711, 32, 1297, 81, 7236, 81, 10799, 30, 313, 7236, 35, 392, 313, 10799, 40, 38, 3439, 766, 291, 428, 1006, 1711, 32, 2560, 81, 7236, 81, 10799, 30, 313, 10799, 40, 36, 3439, 766, 203, 202, 77, 1006, 1711, 32, 4048, 81, 3149, 30, 313, 3149, 35, 3439, 766, 291, 428, 1006, 1711, 32, 539, 81, 7236, 81, 10181, 30, 313, 10181, 35, 3439, 766, 291, 428, 1006, 1711, 32, 1366, 81, 3149, 30, 313, 3149, 35, 3439, 766, 203, 202, 77, 1006, 1711, 32, 4048, 81, 3149, 30, 313, 3149, 35, 3439, 766, 203, 202, 77, 1006, 1711, 32, 268, 1664, 81, 3149, 30, 313, 3149, 35, 3439, 766, 203, 202, 77, 1006, 1711, 32, 1366, 81, 3149, 30, 313, 3149, 35, 3439, 766, 203, 202, 77, 1006, 1711, 32, 4432, 81, 2560, 81, 7236, 81, 10799, 30, 3037, 10799, 40, 37, 40428, 766, 203, 202, 77, 1006, 1711, 32, 1297, 81, 3149, 81, 10181, 30, 313, 3149, 35, 392, 313, 10181, 36, 392, 30597, 2620, 3439, 766, 203, 202, 77, 1006, 1711, 32, 4048, 81, 3149, 30, 313, 3149, 35, 3439, 766, 291, 428, 1006, 1711, 32, 539, 81, 3149, 81, 10181, 30, 313, 10181, 36, 3439, 766, 291, 428, 1006, 1711, 32, 1366, 81, 3149, 30, 313, 3149, 35, 3439, 766, 203, 202, 77, 1006, 1711, 32, 1297, 81, 893, 81, 1070, 81, 7236, 30, 313, 3149, 35, 392, 313, 893, 35, 3439, 766, 203, 202, 77, 1006, 1711, 32, 4048, 81, 3149, 30, 313, 3149, 35, 3439, 766, 291, 428, 1006, 1711, 32, 539, 81, 7236, 81, 10799, 30, 313, 10799, 40, 38, 3439, 766, 291, 428, 1006, 1711, 32, 1366, 81, 3149, 30, 313, 3149, 35, 3439, 766, 203, 202, 77, 1006, 1711, 32, 1297, 81, 7236, 81, 10181, 30, 313, 7236, 35, 392, 313, 10181, 37, 392, 30597, 2620, 3439, 766, 203, 202, 77, 1006, 1711, 32, 4048, 81, 3149, 30, 313, 3149, 35, 3439, 766, 291, 428, 1006, 1711, 32, 539, 81, 7236, 81, 10181, 30, 313, 10181, 37, 3439, 766, 291, 428, 1006, 1711, 32, 1366, 81, 3149, 30, 313, 3149, 35, 1446, 1130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 4, 4, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 3, 3, 2, 2, 4, 4, 3, 4, 4, 0, 1, 1, 2, 1, 1, 3, 5, 7, 7, 7, 6, 8, 8, 8, 5, 5, 7, 7, 6, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 8, 8, 7, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 10, 7, 8, 7, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 10, 10, 7, 8, 7, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 10, 10, 7, 8, 7, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 11, 11, 11, 11, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 7, 8, 7, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 7, 8, 7, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 7, 8, 7, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 3, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 2, 0, 0, 1, 2, 2, 2, 4, 4, 1, 1, 2, 4, 1, 1, 2, 2, 6, 2, 0, 0, 1, 2, 2, 2, 2, 2, 7, 7, 1, 1, 2, 7, 1, 1, 2, 7, 1, 2, 2, 9, 2, 10, 0, 0, 1, 2, 2, 2, 2, 2, 10, 10, 1, 1, 2, 10, 1, 1, 1, 2, 2, 12, 2, 0, 0, 1, 2, 2, 2, 2, 2, 13, 13, 1, 1, 2, 13, 1, 1, 1, 2, 2, 15, 2, 16, 0, 0, 1, 2, 2, 2, 2, 2, 16, 16, 1, 1, 2, 16, 1, 1, 1, 2, 2, 18, 2, 0, 0, 1, 2, 2, 2, 2, 2, 19, 19, 1, 1, 1, 2, 2, 21, 2, 22, 0, 0, 1, 2, 2, 2, 22, 22, 1, 1, 2, 2, 24, 2, 0, 0, 1, 2, 2, 2, 2, 2, 25, 25, 1, 1, 2, 2, 27, 2, 0, 0, 1, 2, 2, 2, 28, 28, 1, 1, 2, 2, 30, 2, 31, 0, 0, 1, 2, 2, 2, 31, 31, 1, 1, 2, 2, 33, 2, 34, 0, 0, 1, 2, 2, 2, 2, 34, 34, 1, 1, 2, 2, 36, 2, 37, 0, 0, 1, 2, 2, 2, 37, 37, 1, 1, 2, 2, 39, 2, 40, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 40, 40, 1, 1, 1, 2, 2, 42, 2, 43, 0, 0, 1, 2, 2, 2, 2, 2, 43, 43, 1, 1, 2, 43, 1, 1, 2, 43, 1, 2, 2, 45, 2, 46, 0, 0, 1, 2, 2, 2, 46, 46, 1, 1, 2, 2, 48, 2, 0, 0, 1, 2, 2, 2, 2, 2, 49, 49, 1, 1, 2, 2, 51, 2, 0, 0, 1, 2, 2, 2, 52, 52, 1, 1, 2, 2, 54, 2, 55, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 55, 55, 1, 1, 2, 55, 1, 1, 2, 2, 57, 2, 58, 0, 0, 1, 2, 2, 2, 58, 58, 1, 1, 2, 2, 60, 2, 0, 0, 1, 2, 2, 2, 2, 2, 61, 61, 1, 1, 1, 2, 2, 63, 2, 0, 0, 1, 2, 2, 2, 64, 64, 1, 1, 2, 2, 66, 2, 67, 0, 0, 1, 2, 2, 2, 2, 2, 67, 67, 1, 1, 2, 67, 1, 1, 2, 67, 1, 2, 2, 69, 2, 70, 0, 0, 1, 2, 2, 2, 70, 70, 1, 1, 2, 2, 72, 2, 0, 0, 1, 2, 2, 2, 2, 2, 73, 73, 1, 1, 2, 2, 75, 2, 0, 0, 1, 2, 2, 2, 76, 76, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 11921, 1299, 619, 11921, 203, 465, 6436, 619, 2065, 203, 589, 622, 81, 7010, 26, 1516, 81, 4820, 30, 9710, 1057, 1808, 37, 36, 370, 1115, 5321, 711, 284, 1509, 81, 605, 280, 11921, 32, 7919, 32, 3818, 26, 426, 347, 605, 657, 284, 415, 9710, 610, 330, 1808, 35, 40, 950, 291, 1509, 81, 605, 280, 11921, 32, 7919, 32, 8946, 26, 605, 47, 1131, 81, 605, 30, 9710, 47, 2356, 32, 1808, 35, 40, 27, 284, 11492, 35, 280, 11921, 32, 7919, 32, 38670, 26, 426, 1057, 6081, 35, 370, 291, 706, 47, 1131, 81, 605, 30, 5801, 4310, 35, 35, 30, 225, 35, 35, 471, 12510, 4310, 38, 30, 225, 38, 471, 1929, 81, 2029, 47, 43, 40, 27, 284, 1875, 103, 35, 280, 11921, 32, 7919, 32, 17542, 26, 605, 47, 6081, 35, 30, 1712, 81, 681, 347, 15159, 657, 284, 456, 15918, 35, 280, 11921, 32, 7919, 32, 14860, 64, 26, 605, 47, 15159, 35, 30, 7377, 47, 34, 32, 34, 34, 34, 35, 30, 11823, 47, 34, 32, 41, 39, 30, 831, 7927, 47, 36, 30, 310, 891, 47, 39, 27, 284, 6929, 35, 280, 11921, 32, 7919, 32, 34161, 26, 291, 706, 47, 6917, 96, 35, 30, 6929, 81, 681, 347, 1449, 392, 5801, 4310, 37, 30, 225, 37, 471, 12510, 4310, 36, 30, 36, 490, 284, 11492, 36, 280, 11921, 32, 7919, 32, 38670, 26, 426, 1057, 6081, 36, 370, 291, 706, 47, 5178, 35, 30, 5801, 4310, 39, 30, 225, 39, 471, 9789, 4310, 36, 30, 225, 36, 471, 1929, 81, 2029, 47, 36, 39, 40, 27, 284, 1875, 103, 36, 280, 11921, 32, 7919, 32, 17542, 26, 605, 47, 6081, 36, 30, 1712, 81, 681, 347, 15159, 657, 284, 456, 15918, 36, 280, 11921, 32, 7919, 32, 14860, 64, 26, 605, 47, 15159, 36, 30, 7377, 47, 34, 32, 34, 34, 34, 35, 30, 11823, 47, 34, 32, 41, 39, 30, 831, 7927, 47, 36, 30, 310, 891, 47, 39, 27, 284, 6929, 36, 280, 11921, 32, 7919, 32, 34161, 26, 605, 47, 6917, 96, 36, 30, 5801, 4310, 37, 30, 225, 37, 471, 12510, 4310, 36, 30, 225, 36, 471, 6929, 81, 681, 347, 1449, 657, 284, 11492, 37, 280, 11921, 32, 7919, 32, 38670, 26, 426, 1057, 6081, 37, 370, 291, 706, 47, 5178, 36, 30, 5801, 4310, 37, 30, 225, 37, 471, 9789, 4310, 35, 30, 225, 35, 471, 1929, 81, 2029, 47, 37, 42, 38, 27, 284, 1875, 103, 37, 280, 11921, 32, 7919, 32, 17542, 26, 605, 47, 6081, 37, 30, 1712, 81, 681, 347, 15159, 657, 284, 11492, 38, 280, 11921, 32, 7919, 32, 38670, 26, 426, 1057, 6081, 38, 370, 291, 706, 47, 15159, 37, 30, 5801, 4310, 37, 30, 225, 37, 471, 9789, 4310, 35, 30, 225, 35, 471, 1929, 81, 2029, 47, 37, 42, 38, 27, 284, 1875, 103, 38, 280, 11921, 32, 7919, 32, 17542, 26, 605, 47, 6081, 38, 30, 1712, 81, 681, 347, 15159, 657, 284, 11492, 39, 280, 11921, 32, 7919, 32, 38670, 26, 426, 1057, 6081, 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, 4, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 5, 5, 5, 5, 2, 4, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 9, 9, 2, 2, 3, 4, 4, 6, 6, 6, 6, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 11, 10, 11, 11, 11, 8, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 9, 9, 9, 6, 6, 7, 8, 8, 8, 6, 6, 7, 9, 9, 8, 8, 9, 9, 8, 6, 7, 9, 8, 8, 9, 8, 6, 8, 8, 7, 8, 8, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 8, 6, 6, 8, 8, 7, 9, 9, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 8, 7, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 6, 6, 8, 7, 8, 6, 6, 8, 7, 8, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 6, 6, 7, 8, 8, 8, 6, 6, 8, 8, 7, 9, 9, 6, 7, 9, 8, 8, 9, 8, 6, 7, 9, 8, 9, 8, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 9, 9, 9, 6, 6, 7, 8, 8, 6, 6, 7, 9, 8, 8, 9, 8, 6, 7, 9, 8, 8, 9, 8, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 8, 6, 6, 8, 8, 7, 9, 9, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 7, 6, 8, 7, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 6, 6, 8, 7, 8, 6, 6, 8, 7, 8, 6, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 8, 8, 6, 6, 7, 9, 8, 8, 9, 8, 6, 7, 9, 8, 8, 9, 8, 6, 8, 8, 7, 9, 9, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 9, 9, 9, 6, 6, 7, 8, 8, 6, 6, 7, 9, 8, 8, 9, 8, 6, 7, 9, 8, 8, 9, 8, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 8, 6, 6, 8, 8, 7, 9, 9, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 9, 9, 9, 6, 6, 7, 8, 8, 6, 6, 7, 9, 8, 8, 9, 8, 6, 7, 9, 8, 8, 9, 8, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 8, 8, 6, 6, 8, 8, 7, 9, 9, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 8, 7, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 3, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 1, 1, 2, 2, 3, 3, 2, 1, 7, 1, 2, 2, 3, 2, 1, 0, 0, 9, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 1, 1, 0, 7, 2, 1, 1, 0, 9, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 2, 1, 5, 1, 2, 2, 3, 2, 1, 7, 1, 2, 3, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 1, 5, 1, 2, 2, 3, 2, 1, 7, 1, 2, 2, 3, 2, 1, 0, 0, 9, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 5, 2, 2, 2, 2, 1, 1, 0, 7, 2, 1, 1, 0, 9, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 2, 2, 3, 2, 1, 5, 1, 2, 2, 3, 2, 1, 0, 0, 7, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 1, 5, 1, 2, 2, 3, 2, 1, 7, 1, 2, 2, 3, 2, 1, 0, 0, 9, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 1, 5, 1, 2, 2, 3, 2, 1, 7, 1, 2, 2, 3, 2, 1, 0, 0, 9, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 3, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1 ]
[ 465, 5592, 32, 48609, 32, 1308, 3350, 619, 7402, 203, 465, 35990, 81, 10331, 32, 3477, 32, 1439, 203, 1070, 35990, 81, 10331, 32, 2593, 81, 1163, 1188, 3345, 81, 627, 37367, 81, 29903, 203, 823, 6146, 26, 10649, 81, 10331, 32, 3477, 32, 1439, 32, 1761, 711, 284, 6613, 280, 225, 35, 34, 284, 665, 4479, 81, 2593, 26, 784, 30, 4118, 30, 5592, 30, 706, 711, 291, 594, 4520, 280, 706, 32, 371, 463, 12457, 370, 1665, 27, 291, 415, 594, 4520, 44, 324, 7402, 32, 36513, 26, 2593, 30, 330, 12457, 1814, 878, 280, 594, 4520, 291, 7402, 32, 36513, 26, 2593, 30, 330, 3543, 683, 291, 5585, 81, 878, 280, 706, 32, 371, 463, 2310, 370, 1665, 27, 291, 415, 5585, 81, 878, 438, 646, 1665, 44, 324, 3048, 280, 7402, 32, 36513, 26, 2593, 30, 330, 2310, 683, 324, 3048, 32, 878, 280, 5585, 81, 878, 291, 7402, 32, 36513, 26, 2593, 30, 330, 10504, 12713, 1814, 878, 280, 330, 1870, 25, 291, 6869, 280, 706, 32, 371, 463, 7073, 370, 1665, 27, 291, 415, 6869, 438, 646, 1665, 44, 324, 415, 6869, 44, 400, 7402, 32, 36513, 26, 2593, 30, 330, 7073, 1814, 878, 280, 330, 1508, 25, 324, 813, 44, 400, 7402, 32, 36513, 26, 2593, 30, 330, 7073, 1814, 878, 280, 330, 1870, 25, 291, 415, 330, 2751, 31, 426, 25, 328, 706, 44, 324, 7402, 32, 36513, 26, 2593, 30, 330, 15694, 1814, 878, 280, 706, 710, 2751, 31, 426, 785, 291, 415, 706, 32, 371, 463, 1521, 31, 1746, 2238, 7831, 324, 7402, 32, 36513, 26, 2593, 30, 6029, 330, 1521, 3313, 5786, 3211, 2238, 15008, 1814, 878, 280, 330, 1508, 25, 291, 813, 44, 324, 7402, 32, 36513, 26, 2593, 30, 6029, 330, 1521, 3313, 5786, 3211, 2238, 15008, 1814, 878, 280, 330, 1870, 25, 291, 415, 706, 32, 371, 463, 1521, 31, 23782, 7831, 324, 7402, 32, 36513, 26, 2593, 30, 6029, 330, 1521, 3313, 5786, 33709, 15008, 1814, 878, 280, 330, 1508, 25, 291, 813, 44, 324, 7402, 32, 36513, 26, 2593, 30, 6029, 330, 1521, 3313, 5786, 33709, 15008, 1814, 878, 280, 330, 1870, 25, 291, 415, 330, 2393, 31, 1956, 25, 328, 706, 44, 324, 7402, 32, 36513, 26, 2593, 30, 330, 2393, 1763, 1814, 878, 280, 706, 710, 2393, 31, 1956, 785, 291, 415, 706, 32, 371, 463, 8347, 7831, 324, 7402, 32, 36513, 26, 2593, 30, 330, 8347, 3313, 1814, 878, 280, 330, 1508, 25, 291, 813, 44, 324, 7402, 32, 36513, 26, 2593, 30, 330, 8347, 3313, 1814, 878, 280, 330, 1870, 25, 291, 415, 330, 10899, 25, 328, 706, 44, 324, 7402, 32, 36513, 26, 2593, 30, 330, 2988, 15301, 1814, 878, 280, 766, 400, 596, 26, 605, 710, 10899, 3490, 291, 415, 308, 2593, 32, 2142, 610, 330, 4873, 31, 2250, 683, 461, 2726, 2661, 31, 10899, 25, 328, 706, 711, 324, 7402, 32, 36513, 26, 2593, 30, 330, 2661, 3402, 15301, 1814, 878, 280, 766, 400, 596, 26, 605, 710, 2661, 31, 10899, 3490, 291, 415, 330, 22290, 31, 8438, 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 ]
[ 1, 1, 3, 4, 3, 4, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 6, 6, 6, 5, 6, 4, 5, 3, 4, 2, 1, 1, 4, 4, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 5, 6, 5, 5, 5, 11, 12, 11, 12, 11, 11, 13, 13, 10, 8, 8, 9, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 11, 10, 10, 12, 12, 6, 6, 9, 10, 8, 8, 9, 9, 4, 4, 9, 10, 9, 10, 9, 9, 11, 11, 11, 8, 6, 6, 8, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 13, 14, 13, 14, 13, 13, 15, 15, 12, 10, 10, 12, 12, 7, 7, 8, 8, 8, 14, 15, 14, 15, 14, 14, 16, 16, 13, 11, 11, 13, 13, 4, 4, 5, 8, 8, 8, 8, 6, 6, 5, 5, 5, 11, 12, 11, 12, 11, 11, 13, 13, 10, 8, 8, 9, 11, 11, 11, 11, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 9, 5, 5, 11, 12, 11, 12, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 10, 8, 8, 10, 10, 5, 5, 6, 6, 6, 12, 13, 12, 13, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 11, 9, 9, 11, 11, 4, 4, 5, 7, 8, 7, 9, 9, 9, 9, 5, 5, 11, 12, 11, 12, 11, 11, 11, 13, 13, 13, 13, 13, 13, 10, 8, 8, 10, 10, 5, 5, 6, 6, 6, 12, 13, 12, 13, 12, 12, 12, 14, 14, 14, 14, 14, 14, 11, 9, 9, 11, 11, 4, 4, 5, 8, 8, 8, 8, 6, 6, 5, 5, 5, 11, 12, 11, 12, 11, 11, 13, 13, 13, 10, 8, 8, 9, 11, 11, 11, 11, 4, 4, 5, 7, 8, 7, 9, 9, 5, 5, 11, 12, 11, 12, 11, 11, 13, 13, 13, 10, 8, 8, 10, 10, 5, 5, 6, 6, 6, 12, 13, 12, 13, 12, 12, 14, 14, 14, 11, 9, 9, 11, 11, 4, 4, 5, 8, 8, 6, 6, 5, 5, 5, 11, 12, 11, 12, 11, 11, 13, 13, 13, 10, 8, 8, 9, 8, 10, 12, 11, 13, 13, 4, 4, 5, 10, 9, 10, 8, 8, 10, 10, 10, 10, 6, 6, 10, 10, 10, 10, 8, 8, 7, 5, 5, 11, 12, 11, 12, 11, 11, 13, 13, 13, 13, 10, 8, 8, 9, 8, 10, 12, 11, 13, 13, 13, 13, 4, 4, 5, 8, 8, 8, 8 ]
[ 0, 0, 0, 2, 0, 4, 4, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 4, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 3, 3, 0, 0, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 7, 1, 1, 1, 7, 7, 7, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 4, 4, 8, 1, 1, 1, 2, 1, 1, 8, 8, 8, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 9, 0, 2, 1, 1, 1, 1, 1, 2, 9, 9, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 9, 9, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 4, 4, 10, 0, 2, 1, 1, 1, 1, 2, 10, 10, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 10, 10, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 4, 4, 11, 1, 1, 1, 2, 1, 1, 11, 11, 11, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 4, 12, 0, 2, 1, 1, 2, 12, 12, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 12, 12, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 4, 4, 13, 1, 2, 1, 1, 13, 13, 13, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 4, 4, 14, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 14, 14, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 4, 4, 15, 1, 1, 1, 2 ]
[ 465, 15798, 203, 1070, 345, 692, 314, 32, 10119, 1188, 42037, 1705, 203, 1070, 345, 692, 314, 32, 6474, 1188, 676, 37, 54, 203, 823, 42037, 1705, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1536, 81, 23351, 81, 297, 81, 11327, 26, 784, 711, 291, 4376, 280, 42037, 1705, 346, 291, 630, 32, 6549, 26, 38003, 26, 1501, 30, 42037, 1705, 490, 291, 630, 32, 6549, 26, 1501, 32, 17348, 1157, 284, 665, 894, 81, 23351, 81, 1793, 81, 887, 81, 1449, 81, 2810, 81, 297, 81, 11327, 26, 784, 711, 291, 4376, 280, 42037, 1705, 26, 35, 32, 34, 30, 225, 38, 32, 34, 30, 225, 39, 32, 34, 30, 225, 34, 32, 34, 30, 225, 36, 32, 34, 30, 225, 37, 32, 34, 27, 291, 630, 32, 6549, 26, 38003, 26, 1501, 30, 42037, 1705, 490, 284, 665, 894, 81, 4642, 81, 586, 81, 11015, 26, 784, 711, 291, 19447, 280, 42037, 1705, 308, 35, 32, 34, 30, 225, 36, 32, 34, 30, 225, 37, 32, 34, 30, 429, 35, 32, 34, 30, 429, 36, 32, 34, 30, 429, 37, 32, 34, 27, 291, 630, 32, 5299, 26, 18209, 32, 887, 1943, 1026, 676, 37, 54, 3736, 35, 32, 34, 5437, 36, 32, 34, 5437, 37, 32, 34, 490, 291, 630, 32, 5299, 26, 18209, 32, 1449, 1943, 1026, 676, 37, 54, 26, 35, 32, 34, 30, 36, 32, 34, 30, 37, 32, 34, 490, 291, 630, 32, 5299, 26, 18209, 32, 38761, 1943, 1026, 676, 37, 54, 26, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 490, 291, 630, 32, 5299, 26, 18209, 32, 1644, 1026, 676, 37, 54, 26, 36, 32, 34, 30, 38, 32, 34, 30, 40, 32, 34, 490, 284, 665, 894, 81, 1493, 81, 19925, 26, 784, 711, 291, 4376, 280, 42037, 1705, 26, 35, 32, 34, 30, 225, 36, 32, 34, 30, 225, 37, 32, 34, 30, 429, 35, 32, 34, 30, 429, 36, 32, 34, 30, 429, 37, 32, 34, 27, 291, 630, 32, 6549, 26, 1501, 32, 297, 1943, 22694, 26, 72, 37, 54, 26, 34, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 2610, 284, 665, 894, 81, 13822, 1811, 29076, 26, 784, 711, 291, 19447, 225, 280, 42037, 1705, 26, 38, 32, 35, 30, 225, 38, 32, 35, 30, 225, 38, 32, 35, 30, 429, 38, 32, 35, 30, 429, 38, 32, 35, 30, 429, 38, 32, 35, 27, 291, 630, 32, 6549, 26, 18209, 32, 13822, 1811, 29076, 26, 72, 37, 54, 3736, 40, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 471, 676, 37, 54, 26, 35, 32, 34, 30, 34, 32, 34, 30, 34, 32, 34, 2610, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 10, 10, 10, 8, 8, 10, 10, 10, 8, 8, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 9, 7, 9, 9, 9, 11, 11, 11, 9, 11, 11, 11, 9, 11, 11, 11, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 9, 7, 9, 9, 9, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 9, 7, 9, 9, 9, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 10, 9, 10, 9, 7, 9, 9, 9, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 10, 10, 10, 8, 8, 10, 10, 10, 8, 8, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 11, 11, 11, 11, 12, 12, 12, 11, 12, 12, 12, 11, 12, 12, 12, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 6, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 10, 10, 10, 8, 8, 10, 10, 10, 8, 8, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 11, 11, 11, 11, 13, 13, 13, 11, 12, 12, 12, 11, 12, 12, 12, 11, 9, 11, 11, 11, 12, 12, 12, 11, 12, 12, 12, 11, 12, 12, 12, 11, 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 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 1, 9, 9, 9, 1, 1, 11, 11, 11, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 5, 5, 5, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 5, 5, 5, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 5, 5, 5, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 5, 5, 5, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 5, 5, 5, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 5, 5, 5, 1, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 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 ]
[ 465, 2322, 203, 1070, 29947, 1188, 4705, 203, 589, 2290, 81, 5043, 26, 1515, 81, 711, 284, 7599, 280, 1605, 284, 436, 617, 1515, 30, 1361, 24015, 30, 2276, 328, 2322, 32, 11905, 26, 500, 32, 983, 32, 2524, 26, 1515, 3739, 330, 4918, 93, 41095, 291, 415, 11477, 1664, 9818, 978, 25, 328, 2276, 44, 324, 5034, 30, 10290, 280, 617, 1515, 32, 2998, 26, 500, 32, 12595, 30, 225, 35, 27, 324, 7599, 32, 1689, 26, 9854, 32, 3227, 26, 500, 32, 12595, 30, 5608, 2847, 284, 442, 7599, 203, 5522, 26, 284, 636, 1057, 4997, 34148, 61, 370, 284, 1503, 1057, 34, 32, 35, 370, 284, 1946, 81, 2310, 47, 505, 1427, 7642, 284, 7599, 47, 1809, 81, 5043, 463, 1356, 1425, 284, 2652, 81, 1515, 12516, 950, 330, 1356, 8885, 284, 2305, 81, 1320, 81, 605, 47, 1815, 30, 284, 8529, 81, 4770, 47, 2700, 30, 284, 3414, 81, 3953, 12516, 4466, 81, 8121, 950, 2107, 4918, 93, 31, 35188, 39583, 280, 540, 13062, 32, 725, 44, 1831, 370, 8479, 330, 4918, 93, 31, 6174, 5136, 280, 540, 13062, 32, 6174, 5136, 44, 1831, 370, 8479, 330, 4918, 93, 31, 8512, 639, 1199, 1877, 280, 540, 13062, 32, 8512, 639, 1199, 1877, 44, 1831, 370, 8479, 330, 4918, 93, 31, 1567, 19059, 280, 540, 13062, 32, 1567, 19059, 44, 1831, 370, 8479, 330, 4918, 93, 31, 106, 29029, 31, 2195, 280, 540, 13062, 32, 106, 29029, 81, 2195, 44, 1831, 370, 8479, 330, 4918, 93, 31, 37325, 762, 2158, 1437, 280, 540, 13062, 32, 37325, 762, 2158, 1437, 44, 1831, 370, 8479, 330, 4918, 93, 31, 37325, 21720, 280, 540, 13062, 32, 37325, 21720, 19186, 44, 1831, 370, 8479, 330, 4918, 93, 31, 496, 5136, 280, 540, 13062, 32, 496, 5136, 44, 1831, 370, 8479, 330, 4918, 93, 31, 5522, 280, 540, 13062, 32, 5522, 44, 1831, 785, 835, 284, 2443, 81, 13966, 11414, 43746, 370, 330, 43746, 31, 5324, 370, 330, 43746, 31, 47385, 370, 2855, 330, 6000, 8538, 370, 2855, 330, 978, 10185, 370, 2855, 330, 4617, 1356, 370, 2855, 330, 45189, 370, 2855, 330, 978, 7035, 370, 2855, 330, 8512, 639, 36, 370, 2855, 330, 1526, 19213, 370, 2855, 330, 42515, 370, 2855, 330, 41204, 370, 2855, 330, 2208, 6665, 370, 2855, 330, 1578, 4634, 370, 2855, 330, 18184, 518, 370, 2855, 330, 1299, 3225, 370, 2855, 330, 1594, 2127, 370, 2855, 330, 809, 761, 785, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 2, 2, 3, 5, 4, 4, 5, 4, 4, 3, 3, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 7, 9, 9, 9, 3, 3, 5, 8, 8, 8, 8, 6, 6, 5, 5, 5, 9, 9, 8, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 11, 10, 6, 6, 9, 10, 9, 12, 11, 12, 11, 13, 12, 13, 11, 11, 13, 2, 2, 3, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 3, 3, 5, 5, 4, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 8, 8, 3, 3, 5, 5, 4, 8, 6, 8, 8, 3, 3, 5, 5, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 5, 3, 3, 3, 5, 5, 4, 8, 8, 8, 8, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 3, 3, 5, 5, 4, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 4, 4, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 3, 3, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 4, 4, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 7, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 9, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 11, 2, 1, 1, 1, 0, 0, 13, 2, 1, 1, 1, 0, 0, 15, 1, 1, 1, 2, 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, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 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, 1, 2, 2, 2, 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, 2, 2, 1, 1, 0, 0, 17, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 589, 6867, 81, 44748, 81, 36466, 26, 104, 34, 81, 90, 30, 104, 34, 81, 104, 30, 104, 58, 81, 90, 1717, 104, 58, 81, 104, 1717, 58, 81, 90, 1717, 58, 81, 104, 711, 284, 1188, 12500, 32, 17449, 619, 5743, 284, 645, 12500, 32, 983, 1188, 5380, 284, 1188, 12500, 32, 27208, 619, 26975, 284, 420, 5494, 280, 225, 34, 32, 36, 284, 354, 5494, 280, 225, 34, 32, 34, 284, 5743, 32, 7630, 26, 35, 30, 37403, 4310, 40, 30, 40, 490, 284, 3327, 280, 5743, 32, 23541, 26, 35, 35, 35, 27, 284, 3327, 32, 39113, 32, 470, 81, 19540, 81, 2705, 463, 4108, 27, 284, 3327, 32, 38541, 32, 470, 81, 19540, 81, 2705, 463, 4108, 683, 284, 3327, 32, 39113, 32, 470, 81, 10727, 5919, 24562, 284, 3327, 32, 38541, 32, 470, 81, 10727, 5919, 24562, 284, 5743, 32, 33019, 37309, 36, 32, 36, 30, 36, 32, 36, 1130, 284, 5743, 32, 28691, 37309, 36, 32, 36, 30, 36, 32, 36, 1130, 284, 3327, 32, 31296, 13961, 400, 13590, 264, 44583, 34, 32, 34, 30, 34, 32, 34, 471, 13590, 11832, 1057, 605, 370, 400, 13590, 878, 4310, 36, 32, 34, 30, 34, 32, 34, 471, 1344, 11832, 1057, 605, 370, 400, 14777, 2962, 47, 2665, 26, 6461, 1621, 19334, 23681, 3841, 1621, 347, 10242, 37, 2113, 27, 284, 5743, 32, 878, 26, 36, 30, 225, 34, 2360, 22, 106, 81, 36, 30145, 1963, 1057, 93, 683, 284, 3327, 32, 31296, 13961, 400, 13590, 264, 44583, 34, 32, 34, 30, 34, 32, 34, 471, 13590, 11832, 1057, 605, 370, 400, 13590, 878, 4310, 34, 32, 34, 30, 36, 32, 34, 471, 1344, 11832, 1057, 605, 370, 400, 14777, 2962, 47, 2665, 26, 6461, 1621, 19334, 23681, 3841, 1621, 347, 10242, 37, 2113, 27, 284, 5743, 32, 878, 26, 34, 30, 225, 36, 2360, 22, 106, 81, 37, 30145, 1963, 1057, 93, 683, 284, 3327, 32, 31296, 13961, 400, 13590, 264, 280, 3736, 104, 34, 81, 90, 5437, 104, 34, 81, 104, 471, 13590, 11832, 1057, 605, 370, 400, 13590, 878, 4310, 34, 32, 34, 30, 34, 32, 34, 471, 1344, 11832, 1057, 605, 370, 400, 14777, 2962, 47, 2665, 26, 6461, 1621, 19334, 23681, 3841, 1621, 347, 10242, 37, 392, 1489, 1057, 1092, 1425, 27, 284, 5743, 32, 878, 3736, 104, 34, 81, 90, 29, 90, 5494, 5437, 104, 34, 81, 104, 29, 104, 5494, 30, 540, 20, 17415, 3137, 831, 81, 34, 30145, 1963, 1057, 100, 683, 284, 3327, 32, 31296, 13961, 400, 13590, 264, 44583, 34, 30, 34, 471, 13590, 11832, 1057, 605, 370, 400, 13590, 878, 4310, 104, 58, 81, 90, 30, 104, 58, 81, 104, 471, 1344, 11832, 1057, 605, 370, 400, 14777, 2962, 47, 2665, 26, 6461, 1621, 19334, 23681, 3841, 1621, 347, 10242, 37, 392, 1489, 1057, 1092, 1425, 27, 284, 5743, 32, 878, 26, 104, 58, 81, 90, 29, 90, 5494, 30, 104, 58, 81, 104, 29, 104, 5494, 30, 540, 20, 17415, 3137, 831, 81, 58, 30145, 1963, 1057, 100, 683, 284, 3327, 32, 31296, 13961, 400, 13590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 2, 1, 1, 3, 5, 6, 4, 4, 2, 2, 3, 4, 5, 3, 3, 2, 2, 3, 5, 6, 4, 4, 2, 2, 5, 4, 4, 5, 5, 5, 2, 2, 5, 4, 4, 5, 5, 5, 2, 2, 5, 6, 5, 6, 5, 5, 6, 8, 7, 8, 7, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 6, 7, 5, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 6, 7, 5, 6, 6, 6, 6, 6, 5, 7, 7, 2, 2, 6, 7, 5, 6, 6, 6, 6, 5, 2, 2, 6, 7, 5, 6, 6, 6, 6, 5, 2, 2, 5, 6, 5, 8, 8, 8, 6, 7, 7, 7, 6, 2, 2, 5, 6, 5, 8, 8, 8, 6, 7, 7, 7, 6, 2, 2, 5, 6, 5, 5, 5, 6, 6, 8, 8, 8, 7, 8, 8, 8, 7, 5, 7, 6, 8, 8, 5, 5, 7, 6, 8, 8, 8, 7, 8, 8, 8, 7, 5, 7, 6, 8, 8, 5, 5, 7, 6, 8, 8, 10, 10, 9, 11, 10, 10, 9, 11, 11, 11, 5, 2, 2, 5, 6, 5, 6, 5, 5, 6, 5, 7, 7, 7, 7, 7, 5, 6, 8, 8, 2, 2, 5, 6, 5, 5, 5, 6, 6, 8, 8, 8, 7, 8, 8, 8, 7, 5, 7, 6, 8, 8, 5, 5, 7, 6, 8, 8, 8, 7, 8, 8, 8, 7, 5, 7, 6, 8, 8, 5, 5, 7, 6, 8, 8, 10, 10, 9, 11, 10, 10, 9, 11, 11, 11, 5, 2, 2, 5, 6, 5, 6, 5, 5, 6, 5, 7, 7, 7, 7, 7, 5, 6, 8, 8, 2, 2, 5, 6, 5, 5, 5, 6, 6, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 5, 7, 6, 8, 8, 5, 5, 7, 6, 8, 8, 8, 7, 8, 8, 8, 7, 5, 7, 6, 8, 8, 5, 5, 7, 6, 8, 8, 10, 10, 9, 11, 10, 10, 9, 11, 11, 11, 10, 9, 11, 11, 5, 2, 2, 5, 6, 5, 8, 8, 8, 8, 6, 7, 7, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 8, 2, 2, 5, 6, 5, 5, 5, 6, 6, 8, 7, 8, 7, 5, 7, 6, 8, 8, 5, 5, 7, 6, 8, 8, 8, 8, 7, 8, 8, 8, 8, 7, 5, 7, 6, 8, 8, 5, 5, 7, 6, 8, 8, 10, 10, 9, 11, 10, 10, 9, 11, 11, 11, 10, 9, 11, 11, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 6, 7, 7, 5, 7, 7, 7, 7, 6, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 8, 2, 2, 5, 6, 5, 5, 5 ]
[ 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 3, 3, 2, 5, 5, 5, 5, 2, 7, 7, 7, 7, 2, 9, 9, 9, 2, 11, 11, 11, 2, 0, 0, 0, 0, 2, 1, 1, 4, 4, 1, 1, 2, 1, 1, 4, 4, 2, 0, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 2, 3, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 2, 3, 3, 3, 2, 1, 0, 5, 1, 2, 1, 1, 0, 7, 1, 1, 1, 2, 3, 3, 3, 2, 1, 0, 9, 1, 2, 1, 1, 0, 11, 0, 1, 0, 0, 1, 1, 0, 0, 3, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 2, 3, 3, 3, 2, 1, 0, 5, 1, 2, 1, 1, 0, 7, 1, 1, 1, 2, 3, 3, 3, 2, 1, 0, 9, 1, 2, 1, 1, 0, 11, 0, 1, 0, 0, 1, 1, 0, 0, 3, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 5, 1, 2, 1, 1, 0, 7, 1, 1, 1, 2, 3, 3, 3, 2, 1, 0, 9, 1, 2, 1, 1, 0, 11, 0, 1, 0, 0, 1, 1, 0, 0, 3, 1, 1, 2, 0, 5, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 1, 1, 3, 3, 1, 2, 3, 2, 1, 0, 5, 1, 2, 1, 1, 0, 7, 1, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 0, 9, 1, 2, 1, 1, 0, 11, 0, 1, 0, 0, 1, 1, 0, 0, 3, 1, 1, 2, 0, 5, 1, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 3, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 7, 1, 2, 4, 4, 0, 2, 1, 1, 1 ]
[ 465, 316, 203, 589, 1056, 81, 4752, 81, 4315, 2025, 81, 6587, 101, 26, 878, 711, 284, 442, 6937, 26, 878, 30, 596, 27, 461, 308, 291, 316, 32, 1903, 33103, 4315, 2025, 38325, 563, 766, 3869, 370, 1344, 30, 316, 32, 24924, 1466, 3123, 27, 863, 1665, 556, 291, 1344, 32, 1809, 463, 13367, 7081, 2025, 28601, 863, 429, 35, 27, 203, 589, 6571, 81, 1823, 81, 3242, 26, 1131, 81, 466, 711, 284, 415, 646, 6937, 26, 1131, 81, 466, 30, 596, 711, 291, 442, 30267, 284, 415, 1509, 81, 466, 77, 34, 44, 36, 79, 610, 330, 4080, 96, 950, 291, 1477, 280, 225, 34, 284, 813, 44, 291, 1477, 280, 1509, 81, 466, 32, 1809, 9442, 96, 4080, 96, 683, 291, 415, 1477, 610, 429, 35, 44, 324, 442, 30267, 284, 943, 280, 1509, 81, 466, 32, 1809, 9442, 96, 4104, 96, 370, 1477, 27, 284, 415, 943, 610, 429, 35, 44, 291, 442, 30267, 284, 442, 1509, 81, 466, 77, 1366, 44, 416, 474, 225, 37, 79, 203, 589, 4450, 81, 4315, 2025, 81, 12696, 81, 916, 26, 858, 81, 426, 30, 4648, 81, 878, 30, 2799, 81, 878, 711, 284, 415, 646, 1056, 81, 4752, 81, 4315, 2025, 81, 6587, 101, 26, 7975, 81, 878, 27, 461, 646, 1056, 81, 4752, 81, 4315, 2025, 81, 6587, 101, 26, 3140, 81, 878, 711, 291, 442, 4247, 284, 2799, 81, 1823, 81, 3242, 280, 6571, 81, 1823, 81, 3242, 26, 3140, 81, 878, 27, 284, 4648, 81, 1823, 81, 3242, 280, 6571, 81, 1823, 81, 3242, 26, 7975, 81, 878, 27, 284, 9340, 81, 4315, 2025, 280, 330, 1178, 25, 284, 9340, 81, 4315, 2025, 81, 2872, 280, 316, 32, 1903, 463, 13367, 7081, 2025, 3491, 96, 4987, 77, 3424, 78, 96, 78, 1130, 370, 4648, 81, 878, 30, 316, 32, 6737, 2320, 27, 284, 415, 9340, 81, 4315, 2025, 81, 2872, 44, 291, 9340, 81, 4315, 2025, 280, 9340, 81, 4315, 2025, 81, 2872, 32, 1363, 26, 35, 27, 284, 442, 1524, 7838, 10499, 5780, 48, 203, 46, 916, 48, 203, 46, 1816, 48, 203, 46, 1311, 28093, 26, 1311, 27, 101, 377, 1311, 48, 203, 46, 1621, 48, 284, 3361, 301, 291, 3295, 44, 225, 34, 45, 291, 3714, 44, 225, 34, 45, 284, 320, 284, 27662, 301, 397, 2747, 44, 7976, 45, 397, 2663, 44, 225, 42, 34, 1082, 45, 397, 2841, 44, 225, 34, 45, 397, 3168, 44, 225, 34, 45, 397, 1288, 31, 1055, 44, 429, 35, 45, 284, 320, 284, 9086, 301, 397, 2747, 44, 7976, 45, 397, 2663, 44, 225, 42, 34, 1082, 45, 397, 2841, 44, 225, 34, 45, 397, 1288, 31, 1055, 44, 225, 35, 45, 284, 320, 284, 588, 7975, 30, 588, 16516, 31, 4315, 2025, 301, 397, 2503, 44, 4909, 45, 284, 320, 203, 377, 1621, 48, 203, 377, 1816, 48, 203, 46, 1548, 48, 203, 46, 83, 976, 347, 525, 555, 2446, 1452, 32, 508, 33, 37, 42, 35, 36, 36, 35, 413, 19279, 5654, 377, 83, 772, 839, 48, 203, 46, 1172, 772, 1131, 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, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 6, 6, 6, 4, 4, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 10, 11, 11, 11, 9, 7, 7, 6, 6, 6, 9, 10, 9, 11, 11, 11, 11, 7, 7, 9, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 6, 7, 7, 7, 6, 6, 6, 3, 3, 5, 2, 2, 3, 6, 6, 5, 7, 6, 7, 5, 4, 4, 6, 7, 6, 3, 3, 6, 6, 7, 3, 3, 4, 4, 4, 7, 7, 10, 10, 9, 10, 9, 12, 11, 12, 11, 5, 5, 6, 7, 7, 9, 6, 6, 6, 8, 2, 2, 4, 4, 7, 7, 6, 7, 6, 9, 8, 9, 8, 6, 6, 2, 2, 3, 4, 4, 6, 3, 3, 3, 5, 2, 2, 3, 5, 5, 4, 6, 5, 7, 6, 6, 7, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 3, 3, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 9, 8, 8, 8, 9, 9, 8, 8, 8, 6, 7, 7, 6, 6, 7, 8, 8, 6, 2, 2, 3, 4, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 6, 6, 9, 9, 9, 9, 9, 8, 9, 8, 9, 8, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 4, 4, 4, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 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, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 3, 3, 1, 1, 5, 2, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 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 ]
[ 1070, 34856, 32, 4573, 1188, 14244, 81, 1299, 203, 1070, 34856, 1188, 894, 203, 823, 439, 385, 6975, 1572, 7233, 26, 858, 32, 7233, 711, 284, 5298, 81, 426, 280, 14244, 81, 1299, 32, 371, 81, 7003, 81, 426, 346, 284, 3964, 81, 2029, 280, 2107, 21, 6533, 810, 45367, 6975, 31, 2853, 544, 16092, 25156, 225, 35, 42, 225, 35, 39, 44, 35, 41, 44, 34, 39, 225, 36, 34, 35, 35, 370, 3486, 13838, 2029, 370, 3486, 14589, 10840, 13850, 9609, 428, 36, 36, 36, 37, 39, 36, 41, 44, 37, 34, 39, 40, 42, 42, 42, 41, 38, 16249, 3486, 14589, 33054, 13850, 9609, 428, 34, 44, 34, 16249, 3486, 14589, 10843, 13850, 9609, 428, 36, 35, 41, 36, 39, 34, 35, 44, 35, 38, 34, 42, 39, 40, 40, 39, 40, 16249, 3486, 14589, 9115, 6975, 31, 1393, 31, 5275, 429, 428, 34, 44, 34, 16249, 3486, 14589, 9115, 6975, 31, 3462, 31, 5275, 429, 428, 34, 44, 34, 16249, 3486, 330, 6069, 101, 31, 33054, 429, 428, 34, 44, 34, 18262, 904, 308, 7003, 81, 426, 471, 3486, 330, 6069, 101, 31, 10840, 429, 428, 34, 44, 34, 18262, 904, 308, 7003, 81, 426, 471, 3486, 330, 6069, 101, 31, 1696, 429, 428, 34, 44, 34, 18262, 904, 308, 7003, 81, 426, 471, 3486, 330, 6069, 101, 31, 10843, 429, 428, 34, 44, 34, 18262, 904, 308, 7003, 81, 426, 471, 3486, 14589, 31205, 31, 2029, 31, 1393, 429, 428, 34, 44, 34, 16249, 3486, 13198, 34, 44, 34, 79, 429, 51, 4786, 17234, 429, 92, 34856, 31, 2029, 31, 1393, 370, 3486, 13198, 34, 44, 34, 79, 429, 51, 21451, 429, 92, 34856, 31, 2029, 31, 1393, 370, 3486, 13198, 34, 44, 34, 79, 429, 51, 34856, 31, 2029, 31, 1393, 429, 92, 904, 101, 31, 1696, 25, 904, 308, 7003, 81, 426, 471, 3486, 13198, 34, 44, 34, 79, 429, 51, 20587, 429, 92, 904, 101, 31, 10840, 25, 904, 308, 7003, 81, 426, 471, 3486, 13198, 34, 44, 34, 79, 429, 51, 21451, 429, 92, 904, 101, 31, 10843, 25, 904, 308, 7003, 81, 426, 471, 3486, 13198, 34, 44, 34, 79, 429, 51, 4786, 17234, 429, 92, 904, 101, 31, 33054, 25, 904, 308, 7003, 81, 426, 471, 3486, 13198, 34, 44, 34, 79, 429, 51, 20587, 429, 91, 33870, 839, 34, 429, 98, 32011, 429, 95, 32011, 769, 86, 625, 225, 39, 37, 330, 3486, 6470, 92, 13850, 9609, 370, 3486, 13198, 34, 44, 34, 79, 429, 51, 20587, 429, 91, 33870, 839, 34, 429, 98, 10355, 429, 95, 10355, 769, 86, 625, 225, 39, 37, 330, 3486, 6470, 92, 13850, 9609, 370, 3486, 13198, 34, 44, 34, 79, 429, 51, 20587, 429, 91, 33870, 839, 34, 429, 98, 32011, 429, 95, 32011, 769, 86, 625, 225, 40, 41, 330, 3486, 6470, 92, 13850, 9609, 370, 3486, 13198, 34, 44, 34, 79, 429, 51, 20587, 429, 91, 33870, 839, 34, 429, 98, 10355, 429, 95, 10355, 769, 86, 625, 225, 40, 41, 330, 3486, 6470, 92, 13850, 9609, 370, 3486, 13198, 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, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 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, 5, 5, 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, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 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, 2, 2, 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, 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, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 15, 15, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 17, 17, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 19, 19, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 21, 21, 1, 1, 1, 2, 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, 1, 1, 1, 2, 2, 2, 1, 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, 1, 1, 1, 1, 2, 29, 29, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 31, 31, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 33, 33, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 35, 35, 1, 1, 1, 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, 37, 37, 1, 1, 1, 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, 39, 39, 1, 1, 1, 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, 41, 41, 1, 1, 1, 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, 43, 43, 1, 1, 1, 2, 2, 2, 1 ]
[ 1070, 34430, 32, 4152, 1188, 11028, 4327, 203, 589, 45294, 81, 13584, 2740, 1132, 30, 1115, 4124, 83, 711, 203, 202, 465, 7890, 203, 202, 601, 7890, 32, 19717, 81, 13584, 2740, 1132, 30, 1115, 4124, 83, 27, 203, 589, 21901, 2245, 2740, 1132, 30, 1115, 4124, 83, 711, 203, 202, 465, 7890, 203, 202, 601, 7890, 32, 8328, 2245, 2740, 1132, 30, 1115, 4124, 83, 27, 203, 589, 2575, 26, 2848, 30, 1115, 5321, 711, 203, 202, 1070, 7890, 1188, 21901, 2245, 203, 202, 2848, 32, 1676, 26, 8328, 2245, 27, 203, 589, 803, 6979, 81, 1676, 26, 668, 30, 3523, 30, 1115, 5321, 711, 203, 202, 761, 668, 280, 428, 1162, 761, 32, 983, 30, 3177, 471, 1665, 27, 436, 803, 328, 1149, 79, 203, 202, 1070, 7890, 1188, 45294, 81, 4728, 81, 1074, 203, 202, 2848, 32, 1676, 26, 19717, 81, 4728, 81, 1074, 30, 803, 668, 30, 225, 34, 30, 803, 32, 983, 27, 203, 589, 803, 6979, 14605, 5321, 711, 203, 202, 1070, 19486, 32, 13038, 1188, 24393, 30, 21691, 1215, 203, 202, 465, 2322, 203, 202, 823, 7089, 13038, 26, 13038, 711, 357, 202, 589, 1505, 974, 26, 784, 30, 803, 711, 355, 202, 601, 2322, 32, 983, 32, 4658, 26, 761, 32, 983, 27, 203, 202, 601, 766, 357, 202, 3325, 13038, 26, 14639, 2516, 280, 3037, 893, 33, 10561, 392, 313, 893, 33, 1645, 392, 313, 893, 33, 7876, 392, 313, 893, 33, 25108, 3439, 355, 202, 8478, 81, 452, 81, 6979, 280, 603, 202, 77, 577, 202, 8816, 1215, 26, 983, 280, 313, 4423, 2331, 392, 623, 81, 1113, 15615, 280, 2933, 471, 577, 202, 8816, 1215, 26, 983, 280, 4320, 623, 81, 1113, 15615, 280, 3177, 471, 603, 202, 614, 355, 202, 426, 280, 313, 66, 25928, 392, 355, 202, 2310, 280, 26155, 1074, 30680, 1179, 2113, 355, 202, 1676, 3359, 85, 280, 803, 6979, 81, 1676, 30, 357, 202, 27, 203, 589, 34430, 14605, 5321, 711, 203, 202, 601, 766, 357, 202, 77, 4152, 4327, 26, 426, 11645, 440, 13554, 4362, 2113, 3048, 11645, 440, 761, 17213, 308, 52, 1456, 30, 33919, 30, 971, 7649, 30, 46481, 43471, 4269, 347, 11869, 3840, 32, 1645, 392, 2154, 280, 11028, 4327, 32, 16995, 81, 21980, 21333, 30, 5652, 22648, 280, 3177, 30, 2771, 85, 47, 1831, 471, 355, 11028, 4327, 26, 426, 11645, 440, 13554, 4362, 2113, 2154, 280, 11028, 4327, 32, 16995, 81, 3539, 21940, 30, 5652, 22648, 280, 3177, 30, 2771, 85, 280, 803, 6979, 2177, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 4, 2, 2, 4, 4, 2, 1, 1, 3, 3, 2, 2, 3, 3, 5, 6, 6, 6, 5, 7, 5, 5, 7, 7, 5, 0, 1, 1, 2, 2, 4, 2, 2, 4, 4, 2, 1, 1, 3, 3, 2, 2, 3, 3, 5, 6, 6, 5, 7, 5, 5, 7, 7, 5, 0, 1, 1, 2, 3, 2, 2, 4, 2, 1, 1, 3, 3, 3, 3, 5, 2, 2, 6, 5, 6, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 2, 1, 1, 5, 5, 4, 4, 6, 9, 8, 9, 7, 7, 7, 6, 6, 5, 6, 6, 6, 5, 2, 2, 3, 3, 3, 3, 5, 5, 5, 5, 2, 2, 6, 5, 6, 5, 6, 6, 6, 6, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 4, 2, 1, 1, 3, 3, 4, 5, 3, 3, 3, 3, 5, 2, 2, 3, 3, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 6, 6, 7, 6, 6, 6, 5, 5, 7, 7, 10, 11, 9, 10, 9, 11, 10, 11, 9, 2, 2, 3, 3, 4, 3, 5, 5, 5, 7, 7, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 5, 5, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 9, 9, 9, 11, 10, 10, 12, 12, 12, 9, 11, 11, 11, 10, 10, 9, 7, 7, 9, 9, 9, 11, 10, 10, 9, 11, 11, 11, 10, 10, 9, 7, 7, 7, 5, 5, 7, 6, 6, 8, 8, 8, 5, 5, 7, 6, 6, 10, 10, 10, 10, 5, 5, 7, 7, 7, 6, 6, 7, 7, 7, 5, 5, 5, 5, 0, 1, 1, 2, 4, 2, 1, 1, 3, 3, 4, 3, 4, 6, 6, 6, 8, 7, 9, 11, 11, 11, 6, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 7, 9, 9, 9, 9, 9, 6, 7, 7, 9, 8, 9, 9, 9, 9, 6, 6, 8, 7, 7, 6, 6, 8, 7, 8, 6, 4, 4, 6, 6, 8, 7, 9, 11, 11, 11, 6, 7, 7, 9, 8, 9, 9, 9, 9, 6, 6, 8, 7, 7, 6, 6, 8, 7, 7, 8, 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 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 4, 4, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 2, 1, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 0, 1, 2, 0, 0, 0, 0, 0, 4, 4, 1, 1, 4, 4, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 3, 3, 1, 3, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 3, 3, 3, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 3, 3, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 3, 3, 1, 2, 2, 2, 1, 1, 0, 5, 5, 1, 1, 2, 1, 1, 0, 7, 7, 1, 1, 1, 2, 1, 1, 0, 0, 0, 9, 9, 2, 2, 2, 1, 1, 1, 1, 0, 6, 6, 2, 1, 2, 6, 6, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 2, 1, 7, 7, 0, 2, 2, 2, 2, 2, 1, 1, 0, 9, 9, 1, 1, 0, 11, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 0, 5, 5, 1, 1, 0, 7, 7, 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 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 1199, 1188, 4549, 30, 12522, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 2726, 13261, 370, 330, 34, 34, 34, 41, 81, 2837, 81, 36, 34, 35, 39, 34, 42, 35, 43, 81, 34, 35, 37, 42, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 8990, 4014, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 10529, 81, 426, 1057, 779, 370, 12741, 47, 2700, 30, 2267, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 3662, 400, 2726, 102, 11362, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 36, 39, 39, 30, 11771, 47, 1815, 3662, 400, 2726, 3368, 370, 4549, 32, 1547, 1176, 26, 10529, 81, 426, 47, 84, 25, 2633, 30, 3747, 17027, 44687, 43257, 343, 1606, 13356, 400, 2726, 2645, 370, 4549, 32, 13343, 26, 10529, 81, 426, 47, 84, 25, 1527, 102, 370, 372, 1057, 13261, 32, 2924, 13356, 324, 2505, 291, 2588, 291, 12522, 32, 44563, 26, 324, 636, 1057, 14978, 11143, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 10529, 81, 426, 1057, 779, 370, 12741, 47, 2700, 30, 2267, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 3662, 400, 2726, 1003, 81, 1070, 370, 4549, 32, 16357, 26, 4756, 81, 878, 47, 84, 25, 2207, 44, 225, 34, 41, 44, 37, 34, 370, 1769, 81, 1322, 47, 39, 30, 16329, 9541, 81, 426, 47, 84, 25, 71, 3935, 30693, 2244, 47247, 13356, 400, 2726, 1003, 81, 452, 370, 4549, 32, 16357, 26, 4756, 81, 878, 47, 84, 25, 2207, 44, 225, 34, 41, 44, 37, 34, 370, 1769, 81, 1322, 47, 39, 30, 9541, 81, 426, 47, 84, 25, 71, 3935, 30693, 2556, 286, 13356, 400, 2726, 18645, 370, 4549, 32, 30400, 26, 10529, 81, 426, 47, 84, 25, 1045, 108, 32, 323, 7888, 364, 365, 391, 29754, 12353, 6627, 300, 370, 11771, 47, 1815, 3662, 400, 2726, 4699, 81, 1070, 370, 4549, 32, 1547, 1176, 26, 10529, 81, 426, 47, 84, 25, 278, 39781, 1399, 12927, 9130, 13356, 400, 2726, 4699, 81, 452, 370, 4549, 32, 1547, 1176, 26, 10529, 81, 426, 47, 84, 25, 278, 39781, 34599, 12927, 9130, 13356, 400, 2726, 2645, 370, 4549, 32, 13343, 26, 10529, 81, 426, 47, 84, 25, 1527, 102, 370, 372, 1057, 13261, 32, 2924, 13356, 400, 2726, 5473, 370, 4549, 32, 13343, 26, 10529, 81, 426, 47, 84, 25, 58, 335, 88, 364, 2983, 370, 372, 1057, 13261, 32, 26855, 13356, 324, 2505, 291, 2588, 284, 1481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 12, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 9, 9, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 12, 13, 15, 15, 15, 15, 9, 9, 7, 7, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 12, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 14, 14, 13, 14, 12, 12, 12, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 14, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 12, 13, 15, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 12, 13, 15, 15, 15, 15, 9, 9, 7, 7, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 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, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 0, 0, 7, 2, 1, 2, 2, 1, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 2, 2, 1, 2, 5, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 3, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 0, 0, 7, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 5, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 1, 0, 0, 5, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 1, 1, 1, 2, 9, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 11, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 13, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 3, 1, 1, 1, 2, 2, 2, 1, 2, 15, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 2, 2, 1, 1, 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 ]
[ 823, 902, 8126, 20396, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 645, 21308, 1188, 24650, 274, 2597, 4456, 645, 21308, 32, 11201, 1188, 4600, 483, 5443, 42580, 291, 645, 27847, 348, 32, 3337, 1188, 7029, 29330, 291, 630, 32, 2613, 280, 630, 1114, 2613, 280, 24650, 274, 2597, 26, 784, 27, 291, 630, 32, 580, 280, 225, 35, 291, 630, 32, 17360, 280, 2149, 291, 7029, 29330, 26, 784, 30, 4600, 483, 5443, 42580, 27, 284, 665, 1015, 26, 784, 30, 2830, 711, 291, 1188, 1671, 291, 2830, 1114, 98, 81, 580, 280, 1671, 32, 2423, 30554, 67, 392, 630, 32, 580, 27, 291, 630, 32, 580, 1454, 225, 35, 291, 2830, 1114, 98, 81, 6857, 280, 630, 291, 630, 32, 2613, 77, 2067, 1114, 98, 81, 580, 79, 280, 2830, 284, 665, 4230, 26, 784, 711, 291, 3097, 284, 665, 739, 23321, 1293, 26, 784, 711, 291, 3097, 284, 665, 3909, 26, 784, 30, 2830, 711, 291, 630, 32, 17360, 77, 2067, 79, 280, 225, 35, 284, 665, 739, 1293, 26, 784, 30, 2830, 711, 291, 2830, 3667, 823, 29215, 1664, 3207, 2067, 27, 203, 823, 35961, 299, 20396, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 645, 21308, 1188, 24650, 274, 2597, 4456, 630, 32, 2613, 280, 24650, 274, 2597, 26, 784, 27, 291, 630, 32, 580, 280, 225, 35, 291, 630, 32, 17360, 280, 2149, 284, 665, 1015, 26, 784, 30, 2830, 711, 291, 1188, 1671, 291, 2830, 1114, 98, 81, 580, 280, 1671, 32, 2423, 30554, 67, 392, 630, 32, 580, 27, 291, 630, 32, 580, 1454, 225, 35, 291, 2830, 1114, 98, 81, 6857, 280, 630, 291, 630, 32, 2613, 77, 2067, 1114, 98, 81, 580, 79, 280, 2830, 291, 630, 32, 2067, 280, 2830, 291, 630, 32, 25748, 318, 280, 2830, 3667, 371, 1293, 16369, 284, 665, 4230, 26, 784, 711, 291, 3097, 284, 665, 11152, 81, 3375, 26, 784, 711, 291, 630, 32, 25748, 318, 280, 630, 32, 2067, 3667, 371, 1293, 16369, 291, 630, 32, 2067, 1114, 98, 81, 8968, 280, 225, 34, 284, 665, 739, 23321, 1293, 26, 784, 711, 291, 3097, 284, 665, 3909, 26, 784, 30, 2830, 711, 291, 630, 32, 17360, 77, 2067, 79, 280, 225, 35, 284, 665, 739, 1293, 26, 784, 30, 2830, 711, 291, 2830, 3667, 470, 1293, 3207, 784, 32, 25748, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 7, 4, 4, 5, 6, 7, 5, 5, 7, 7, 7, 4, 4, 5, 7, 6, 7, 5, 5, 7, 4, 4, 7, 8, 6, 6, 8, 9, 7, 7, 9, 9, 9, 10, 9, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 7, 8, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 10, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 7, 9, 8, 9, 9, 9, 7, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 9, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 10, 8, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 7, 9, 8, 9, 9, 9, 7, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 4, 4, 8, 9, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 9, 8, 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 ]
[ 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 2, 1, 1, 0, 0, 0, 4, 4, 2, 0, 1, 2, 2, 2, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 0, 0, 2, 4, 4, 5, 1, 2, 1, 2, 2, 2, 5, 5, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 4, 4, 5, 2, 1, 2, 2, 2, 5, 5, 0, 2, 0, 2, 0, 0, 0, 2, 4, 4, 6, 1, 2, 1, 2, 2, 2, 6, 6, 0, 2, 2, 2, 0, 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 ]
[ 465, 3738, 203, 1070, 14278, 1188, 15105, 203, 1070, 638, 21279, 1188, 37401, 30, 7400, 9134, 203, 823, 10522, 26, 1473, 711, 284, 617, 9147, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 20648, 711, 291, 630, 1114, 7764, 280, 20648, 291, 630, 32, 809, 280, 15105, 346, 291, 436, 636, 30, 1411, 328, 630, 1114, 9147, 44, 324, 39506, 26, 784, 30, 636, 30, 3738, 32, 37461, 26, 1959, 30, 630, 490, 284, 665, 20648, 26, 784, 30, 544, 81, 1978, 47, 2521, 30, 544, 81, 731, 47, 2521, 30, 544, 81, 14704, 47, 2521, 30, 1750, 17460, 47, 2521, 711, 291, 415, 6937, 26, 267, 81, 1978, 30, 7400, 9134, 711, 324, 17460, 280, 544, 81, 1978, 291, 4348, 646, 17460, 44, 324, 17460, 280, 37401, 26, 267, 81, 1978, 30, 544, 81, 731, 30, 544, 81, 14704, 27, 291, 442, 630, 1114, 7764, 26, 21279, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 4, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 4, 4, 5, 6, 6, 5, 5, 6, 7, 5, 5, 5, 9, 10, 9, 9, 9, 9, 11, 12, 11, 12, 11, 11, 11, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 8, 8, 8, 7, 7, 8, 7, 5, 5, 8, 8, 9, 9, 5, 5, 6, 7, 6, 6, 6, 9, 9, 11, 12, 12, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 4, 4, 5, 7, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 2, 2, 2, 2, 0, 0, 3, 3, 2, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 4, 4, 2, 1, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 9, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 2, 2, 0, 0, 4, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 301, 284, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 284, 330, 1517, 950, 2107, 8687, 2188, 284, 330, 7095, 81, 1170, 950, 330, 11863, 25, 203, 111, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 310, 762, 81, 1217, 203, 9971, 81, 10270, 81, 9854, 44, 310, 762, 203, 4021, 81, 2310, 44, 6645, 706, 645, 390, 16690, 489, 3629, 32, 203, 2310, 44, 334, 429, 1348, 2297, 7367, 2193, 436, 38654, 706, 645, 390, 16690, 489, 3629, 1471, 37136, 32, 203, 15965, 44, 334, 429, 390, 16690, 489, 3629, 1503, 225, 37, 32, 38, 556, 12224, 32, 203, 2116, 44, 313, 2165, 16465, 489, 2477, 270, 16701, 11931, 4977, 633, 272, 4731, 203, 2184, 44, 334, 37773, 44, 284, 3048, 44, 37136, 7798, 6491, 372, 322, 3051, 32, 284, 2129, 44, 861, 334, 3829, 44, 284, 3048, 44, 848, 397, 1682, 432, 3829, 372, 2192, 645, 9215, 5166, 32, 284, 2129, 44, 861, 203, 1648, 81, 11043, 44, 313, 36, 32, 39, 20, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 636, 44, 6608, 3298, 636, 461, 3048, 334, 310, 762, 81, 1217, 44, 284, 1984, 44, 1913, 555, 5007, 44, 42, 34, 42, 34, 33, 49009, 284, 952, 44, 952, 284, 3882, 44, 3882, 284, 37773, 44, 517, 96, 1729, 44, 13204, 33, 2929, 284, 3829, 44, 284, 429, 636, 284, 429, 3048, 203, 9592, 203, 10934, 280, 5881, 203, 2024, 44, 334, 3048, 44, 3846, 432, 9215, 5166, 334, 4717, 44, 3117, 334, 827, 44, 1149, 203, 9592, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 4573, 32, 96, 762, 32, 96, 762, 1188, 5008, 30, 6144, 81, 1648, 30, 310, 762, 81, 2669, 81, 2285, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 4573, 32, 96, 762, 32, 96, 762, 1188, 7703, 4976, 984, 30, 489, 762, 984, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 6390, 1188, 35603, 2459, 203, 823, 489, 762, 1625, 26, 1473, 711, 284, 38505, 81, 4530, 69, 280, 428, 291, 308, 37, 30, 225, 38, 27, 284, 1481, 284, 665, 1156, 1664, 3207, 784, 30, 1505, 81, 2816, 30, 2043, 30, 37773, 30, 3829, 711, 291, 630, 1114, 1553, 81, 2816, 280, 1505, 81, 2816, 291, 630, 1114, 1580, 280, 2043, 291, 630, 1114, 16689, 280, 37773, 291, 630, 1114, 4151, 280, 3829, 284, 665, 2575, 26, 784, 711, 291, 415, 630, 1114, 1553, 81, 2816, 44, 324, 442, 1605, 291, 813, 44, 324, 442, 630, 1114, 1580, 32, 1217, 26, 784, 1114, 16689, 30, 630, 1114, 4151, 27, 203, 589, 2575, 2262, 284, 2793, 81, 2285, 280, 5436, 26, 291, 37773, 47, 2665, 26, 3648, 47, 1815, 30, 827, 1057, 466, 1425, 291, 3829, 47, 2665, 26, 3648, 47, 1815, 30, 827, 1057, 668, 683, 284, 829, 284, 2793, 81, 2285, 32, 1877, 26, 96, 762, 81, 2669, 81, 2285, 27, 284, 2297, 280, 35603, 2459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 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, 3, 3, 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, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 1, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 2, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 1, 1, 2, 2, 2, 3, 2, 1, 5, 5, 5, 5, 4, 4, 5, 5, 6, 7, 6, 6, 7, 5, 5, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 8, 7, 8, 8, 8, 6, 7, 7, 7, 4, 8, 7, 8, 6, 7, 4, 8, 7, 8, 6, 7, 4, 8, 7, 8, 6, 7, 2, 3, 4, 4, 5, 4, 3, 5, 7, 6, 7, 7, 7, 7, 5, 7, 8, 5, 6, 6, 6, 8, 12, 11, 12, 12, 11, 11, 12, 11, 12, 12, 12, 11, 12, 12, 10, 1, 2, 2, 1, 5, 5, 5, 4, 6, 6, 6, 8, 8, 9, 9, 11, 11, 11, 11, 11, 10, 12, 9, 6, 8, 8, 9, 9, 11, 11, 11, 11, 11, 10, 12, 12, 6, 6, 2, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 2, 5, 4, 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, 2, 2, 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, 2, 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, 2, 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, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 6, 0, 0, 2, 2, 2, 2, 4, 4, 1, 6, 6, 1, 8, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 7, 0, 0, 2, 2, 2, 2, 4, 4, 1, 6, 6, 1, 8, 7, 0, 0, 0, 0, 7, 0, 0, 0, 8, 0, 0, 2, 2, 2, 2, 4, 8, 0, 0, 0, 9, 9, 1, 1, 1, 1, 2, 9, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 2, 2, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 5, 5, 7, 7, 9, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 4, 0, 0, 2, 0, 2, 4, 0, 0, 2, 0, 2, 4, 0, 0, 2, 0, 2, 4, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 3, 2, 2, 1, 10, 1, 2, 10, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 1, 2, 1, 1, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 0, 0, 0 ]
[ 465, 281, 3925, 81, 18637, 81, 3734, 203, 465, 281, 3925, 81, 520, 625, 15536, 81, 3734, 203, 465, 281, 3925, 81, 5452, 1851, 81, 3734, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 465, 2322, 203, 465, 1133, 203, 1070, 894, 32, 3592, 1188, 24699, 81, 9362, 30, 1420, 81, 18986, 203, 1070, 1673, 2304, 32, 15697, 1188, 617, 566, 81, 7345, 81, 1132, 203, 1070, 1673, 2304, 32, 15697, 1188, 16611, 30, 2290, 81, 21823, 203, 1070, 1673, 2304, 32, 4275, 1188, 9306, 2304, 2650, 924, 203, 1070, 1673, 2304, 32, 4882, 1188, 2193, 203, 823, 34744, 7233, 26, 3592, 32, 2410, 1515, 1572, 30, 528, 2193, 32, 11161, 20081, 27500, 30, 528, 15798, 32, 7233, 711, 284, 665, 894, 81, 566, 81, 7345, 81, 1132, 26, 784, 711, 291, 436, 308, 1132, 30, 13562, 27, 328, 1833, 710, 1793, 5122, 370, 330, 1347, 1166, 2188, 1378, 2107, 20, 1793, 5122, 21684, 330, 1347, 1166, 16578, 7686, 308, 710, 1347, 2342, 370, 330, 1347, 1166, 2188, 1378, 2107, 1347, 2342, 370, 330, 1347, 1166, 7698, 44, 324, 736, 280, 617, 566, 81, 7345, 81, 1132, 26, 1132, 27, 324, 630, 32, 5299, 26, 575, 30, 13562, 27, 284, 477, 18986, 32, 5961, 23093, 26, 500, 32, 426, 328, 2726, 566, 370, 330, 28950, 1425, 656, 330, 28897, 1755, 1531, 45301, 556, 25116, 683, 284, 665, 894, 81, 15697, 26, 784, 711, 291, 3691, 1515, 280, 630, 32, 4765, 86, 1433, 346, 291, 415, 2322, 32, 426, 610, 330, 28950, 950, 324, 30150, 280, 2322, 32, 983, 32, 2524, 26, 30606, 30, 330, 3986, 32, 615, 683, 324, 630, 32, 1821, 81, 761, 26, 8022, 30, 5307, 7634, 1771, 33, 615, 78, 96, 4775, 225, 35, 683, 291, 813, 44, 324, 30150, 280, 2322, 32, 983, 32, 2524, 26, 30606, 30, 330, 3986, 32, 8214, 683, 324, 630, 32, 1821, 81, 761, 26, 8022, 30, 330, 4775, 225, 35, 683, 291, 2322, 32, 26030, 26, 8022, 30, 225, 34, 97, 41, 41, 41, 27, 291, 630, 32, 23895, 26, 4496, 2304, 2650, 924, 30, 16611, 30, 428, 8022, 1130, 291, 415, 2322, 32, 426, 610, 330, 28950, 950, 324, 30150, 280, 2322, 32, 983, 32, 2524, 26, 30606, 30, 330, 3986, 32, 615, 683, 324, 630, 32, 1821, 81, 761, 26, 8022, 30, 5307, 7634, 1771, 33, 615, 78, 96, 4775, 225, 34, 683, 291, 813, 44, 324, 30150, 280, 2322, 32, 983, 32, 2524, 26, 30606, 30, 330, 3986, 32, 8214, 683, 324, 630, 32, 1821, 81, 761, 26, 8022, 30, 330, 4775, 225, 34, 683, 291, 2322, 32, 26030, 26, 8022, 30, 225, 34, 97, 41, 41, 41, 27, 291, 16611, 2009, 8022, 1130, 261, 203, 589, 894, 81, 9089, 2262, 284, 442, 15798, 32, 2682, 10907, 26, 16365, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 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, 4, 4, 5, 4, 3, 3, 5, 7, 6, 6, 6, 5, 5, 8, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 6, 6, 8, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 8, 10, 10, 10, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 11, 10, 6, 6, 9, 10, 9, 10, 9, 9, 9, 2, 2, 7, 6, 7, 7, 6, 9, 8, 9, 7, 7, 10, 10, 8, 10, 10, 6, 6, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 7, 7, 9, 10, 10, 10, 9, 5, 5, 6, 8, 9, 7, 7, 9, 9, 6, 6, 9, 9, 12, 13, 11, 12, 11, 12, 11, 11, 13, 13, 13, 13, 7, 7, 10, 11, 11, 11, 10, 11, 10, 10, 12, 12, 12, 12, 13, 13, 12, 12, 12, 12, 6, 6, 7, 7, 7, 10, 10, 13, 14, 12, 13, 12, 13, 12, 12, 14, 14, 14, 14, 8, 8, 11, 12, 12, 12, 11, 12, 11, 11, 13, 13, 13, 13, 5, 5, 8, 9, 8, 9, 8, 8, 9, 9, 9, 9, 9, 8, 5, 5, 8, 9, 8, 9, 9, 9, 9, 8, 8, 8, 8, 10, 9, 5, 5, 6, 8, 9, 7, 7, 9, 9, 6, 6, 9, 9, 12, 13, 11, 12, 11, 12, 11, 11, 13, 13, 13, 13, 7, 7, 10, 11, 11, 11, 10, 11, 10, 10, 12, 12, 12, 12, 13, 13, 12, 12, 12, 12, 6, 6, 7, 7, 7, 10, 10, 13, 14, 12, 13, 12, 13, 12, 12, 14, 14, 14, 14, 8, 8, 11, 12, 12, 12, 11, 12, 11, 11, 13, 13, 13, 13, 5, 5, 8, 9, 8, 9, 8, 8, 9, 9, 9, 9, 9, 8, 5, 5, 8, 10, 9, 0, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 6, 5, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 5, 2, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 3, 3, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 1, 1, 2, 3, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 4, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 4, 4, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 4, 4, 1, 1, 1, 0, 0, 9, 9, 1, 1, 2, 9, 9, 0, 0, 2, 2, 1, 1, 1, 1, 0, 10, 10, 0, 0, 1, 1, 1, 1, 10, 10, 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 ]
[ 1070, 8527, 32, 12023, 32, 21031, 32, 42986, 1188, 36413, 3564, 203, 1070, 8527, 32, 1199, 1188, 12215, 30, 4040, 81, 1996, 81, 25138, 203, 589, 1015, 81, 44605, 81, 3038, 26, 44605, 30, 3796, 81, 426, 1057, 34759, 370, 3796, 81, 101, 1923, 47, 2521, 30, 2488, 81, 3731, 81, 426, 47, 2521, 30, 1750, 3500, 47, 5807, 81, 1996, 81, 25138, 711, 284, 3387, 280, 12215, 77, 4603, 79, 284, 415, 646, 19326, 26, 3841, 32, 4156, 30, 330, 20847, 81, 1648, 7831, 291, 3636, 3268, 463, 1318, 529, 669, 81, 44605, 81, 3038, 82, 15471, 1755, 4847, 330, 715, 330, 1793, 23667, 42797, 11834, 284, 415, 3387, 32, 4156, 32, 11115, 556, 3387, 32, 4156, 32, 7534, 44, 291, 3636, 3268, 463, 2272, 15471, 1957, 646, 2193, 322, 330, 715, 330, 24768, 556, 15894, 23667, 42797, 11834, 284, 36413, 2084, 10833, 280, 3387, 32, 4156, 32, 20847, 81, 612, 81, 3731, 346, 284, 415, 646, 6937, 26, 44605, 30, 36413, 3564, 711, 291, 309, 3666, 280, 36413, 3564, 26, 44605, 27, 284, 415, 309, 3666, 32, 101, 1923, 438, 1665, 44, 291, 3636, 3268, 463, 23316, 4121, 7171, 600, 22884, 779, 372, 526, 330, 715, 330, 14600, 623, 322, 23667, 9161, 11834, 284, 10306, 280, 5053, 101, 1923, 25, 499, 309, 3666, 32, 101, 1923, 30, 1090, 330, 2393, 81, 426, 25, 499, 3796, 81, 426, 30, 1090, 330, 2393, 81, 101, 1923, 25, 499, 3796, 81, 101, 1923, 556, 309, 3666, 32, 101, 1923, 30, 1090, 330, 11030, 38, 878, 25, 499, 309, 3666, 32, 11030, 38, 30, 1090, 320, 284, 415, 3387, 32, 4156, 32, 1526, 21031, 44, 291, 10306, 710, 6858, 878, 785, 280, 309, 3666, 32, 105, 4430, 284, 415, 3387, 32, 4156, 32, 20847, 659, 44, 291, 10306, 710, 612, 81, 3731, 81, 426, 785, 280, 2488, 81, 3731, 81, 426, 556, 309, 3666, 32, 426, 284, 1596, 44, 291, 17295, 280, 36413, 2084, 10833, 32, 5740, 32, 371, 26, 101, 1923, 47, 44605, 32, 101, 1923, 27, 284, 2940, 36413, 2084, 10833, 32, 34747, 44, 291, 17295, 280, 36413, 2084, 10833, 32, 5740, 32, 1297, 14605, 5321, 27, 203, 669, 81, 1526, 21031, 81, 44605, 280, 1015, 81, 44605, 81, 3038, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 5, 5, 2, 4, 4, 4, 3, 4, 2, 2, 4, 4, 4, 4, 3, 4, 2, 2, 2, 3, 4, 4, 4, 4, 4, 2, 1, 1, 4, 4, 5, 6, 5, 2, 2, 3, 4, 6, 8, 7, 8, 6, 6, 8, 8, 8, 8, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 2, 2, 3, 6, 7, 5, 6, 4, 4, 6, 7, 5, 6, 3, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 7, 7, 7, 7, 6, 2, 2, 3, 4, 6, 7, 6, 6, 7, 6, 3, 3, 7, 6, 6, 8, 8, 9, 8, 2, 2, 3, 6, 5, 6, 6, 4, 4, 3, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 4, 4, 8, 8, 8, 6, 6, 8, 7, 8, 8, 5, 5, 5, 8, 8, 8, 8, 6, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 7, 9, 8, 9, 9, 5, 5, 5, 8, 8, 8, 8, 6, 6, 8, 7, 8, 8, 5, 5, 5, 2, 2, 3, 5, 6, 4, 5, 5, 3, 3, 3, 7, 9, 9, 9, 6, 6, 8, 7, 8, 8, 2, 2, 3, 5, 6, 4, 5, 5, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 7, 7, 9, 8, 9, 2, 2, 3, 3, 3, 6, 6, 10, 10, 9, 10, 8, 9, 8, 10, 10, 9, 11, 10, 11, 11, 8, 3, 3, 4, 6, 6, 5, 6, 4, 4, 4, 7, 7, 11, 11, 10, 11, 9, 10, 9, 11, 9, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 1, 2, 2, 0, 0, 0, 5, 2, 2, 2, 0, 0, 0, 0, 7, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 0, 1, 2, 1, 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, 1, 1, 4, 4, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 5, 0, 0, 2, 2, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 7, 7, 0, 2, 2, 2, 2, 2, 2, 4, 4, 7, 0, 2, 1, 2, 2, 7, 7, 7, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 4, 4, 8, 0, 2, 1, 2, 2, 8, 8, 8, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 4, 4, 9, 9, 9, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 9, 9, 3, 0, 0, 1, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8206, 13835, 32, 28783, 1188, 7079, 203, 1070, 8206, 13835, 32, 4068, 32, 31423, 32, 28106, 690, 1188, 5592, 2238, 203, 823, 14882, 13976, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 5172, 101, 280, 1605, 284, 665, 2443, 15578, 101, 26, 784, 30, 26635, 711, 291, 436, 1692, 30, 2771, 328, 630, 32, 5172, 101, 44, 324, 26635, 32, 669, 9134, 26, 1567, 30, 2771, 27, 284, 665, 1015, 15578, 26, 784, 30, 1692, 30, 2771, 711, 291, 630, 32, 5172, 101, 32, 1689, 1162, 1567, 30, 2771, 490, 284, 665, 3345, 15578, 26, 784, 30, 1692, 30, 2771, 711, 291, 630, 32, 5172, 101, 32, 2546, 1162, 1567, 30, 2771, 490, 203, 823, 12491, 1862, 2059, 2214, 26, 15578, 13976, 30, 6035, 7079, 32, 2059, 2214, 711, 284, 7079, 280, 5592, 2238, 32, 4397, 1862, 284, 665, 1156, 1664, 3207, 784, 30, 3796, 20002, 2214, 711, 291, 14882, 13976, 3667, 1664, 3207, 784, 27, 291, 630, 32, 2393, 20002, 2214, 280, 3796, 20002, 2214, 284, 665, 1968, 5506, 26, 784, 30, 8705, 711, 291, 3796, 20002, 280, 630, 32, 2393, 20002, 2214, 346, 291, 9877, 280, 630, 32, 5721, 26, 2393, 20002, 27, 291, 9877, 32, 5792, 280, 630, 291, 630, 32, 3789, 15578, 101, 26, 4895, 27, 291, 442, 9877, 203, 823, 38456, 26, 2593, 2238, 32, 17795, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 1596, 44, 324, 30633, 280, 10306, 710, 41622, 785, 291, 2940, 25085, 44, 324, 645, 8206, 13835, 32, 28783, 1188, 30633, 291, 10306, 710, 41622, 785, 280, 30633, 291, 1596, 44, 324, 5592, 2238, 32, 17795, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 27, 291, 2940, 12678, 44, 324, 3555, 10306, 710, 41622, 785, 324, 5592, 2238, 32, 17795, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 27, 324, 630, 1114, 2593, 2238, 1114, 1851, 31313, 280, 30633, 32, 1851, 31313, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 6, 7, 7, 5, 5, 5, 9, 10, 10, 9, 10, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 9, 7, 8, 7, 9, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 9, 7, 8, 7, 9, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 4, 4, 2, 1, 1, 4, 4, 6, 5, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 5, 0, 1, 1, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 5, 5, 8, 8, 9, 11, 11, 5, 5, 6, 6, 6, 6, 8, 10, 9, 10, 8, 8, 4, 4, 7, 9, 9, 6, 6, 4, 4, 5, 5, 5, 11, 10, 11, 9, 10, 10, 10, 9, 9, 11, 9, 9, 11, 9, 5, 5, 6, 6, 6, 6, 8, 9, 11, 11, 7, 7, 12, 11, 12, 10, 11, 11, 11, 10, 10, 12, 10, 10, 12, 10, 7, 7, 11, 12, 12, 10, 11, 11, 9, 9, 10, 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 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 6, 6, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 3, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 3, 3, 1, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 4, 4, 2, 0, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 3, 3, 3, 3, 0, 0, 1, 2, 0, 0, 4, 4, 0, 1, 2, 0, 0, 4, 4, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 0, 2, 2, 0, 0, 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 ]
[ 465, 2322, 203, 465, 1673, 2304, 203, 1070, 29947, 1188, 5718, 203, 1070, 1673, 2304, 32, 1040, 1188, 4483, 81, 983, 203, 1070, 1673, 2304, 1188, 1245, 203, 1070, 1673, 2304, 32, 4275, 1188, 9306, 2304, 2828, 924, 203, 505, 464, 505, 280, 2107, 1163, 81, 761, 370, 330, 3176, 81, 1163, 370, 330, 1762, 81, 1439, 370, 330, 22314, 785, 203, 589, 1359, 81, 761, 26, 5462, 347, 1696, 10280, 284, 415, 6186, 10844, 1696, 950, 291, 442, 330, 5522, 32, 4687, 25, 284, 415, 6186, 10844, 3264, 950, 291, 442, 2322, 32, 983, 32, 2524, 26, 324, 2322, 32, 983, 32, 7781, 26, 2452, 2304, 3667, 761, 36762, 25, 2452, 2304, 32, 4687, 25, 291, 829, 284, 415, 6186, 10844, 496, 950, 291, 8057, 280, 2322, 32, 426, 10844, 28950, 25, 461, 18491, 556, 4247, 291, 442, 2322, 32, 983, 32, 8931, 496, 26, 5954, 81, 983, 440, 112, 9708, 12813, 2452, 2304, 32, 4687, 20, 904, 8057, 490, 284, 3636, 10091, 26, 291, 313, 1163, 81, 761, 346, 827, 2298, 526, 330, 1696, 370, 330, 3264, 370, 556, 330, 496, 13042, 6186, 284, 829, 203, 589, 4553, 81, 1163, 26, 3607, 30, 4070, 30, 32609, 81, 1945, 47, 2700, 711, 284, 645, 29947, 32, 8524, 1188, 3383, 2825, 284, 1245, 32, 2811, 440, 19971, 3488, 645, 904, 101, 392, 4870, 27, 284, 6410, 280, 3383, 2825, 32, 6189, 46487, 346, 284, 6410, 32, 850, 2009, 3607, 1130, 284, 436, 4169, 30, 2075, 328, 4070, 32, 3028, 2262, 291, 415, 2075, 438, 1665, 44, 324, 1245, 32, 1338, 440, 36595, 4169, 18025, 101, 79, 645, 904, 101, 392, 4169, 30, 4870, 27, 324, 6410, 32, 2546, 81, 1906, 26, 1906, 27, 291, 813, 44, 324, 415, 646, 6410, 32, 2040, 81, 1906, 26, 1906, 711, 400, 1245, 32, 2811, 440, 21540, 537, 4169, 18025, 101, 79, 372, 904, 101, 392, 4169, 30, 4870, 27, 400, 6410, 32, 669, 81, 1906, 26, 1906, 27, 324, 436, 2470, 30, 853, 328, 2075, 32, 3028, 2262, 400, 415, 786, 438, 1665, 44, 528, 1245, 32, 2811, 26, 715, 313, 36595, 904, 101, 15231, 101, 645, 904, 101, 392, 715, 4169, 30, 2470, 30, 4870, 528, 829, 528, 6410, 32, 2546, 81, 1762, 26, 1906, 30, 1762, 27, 528, 415, 646, 6410, 32, 2184, 26, 1906, 711, 715, 1245, 32, 1338, 440, 36595, 3502, 18025, 101, 79, 4169, 645, 904, 101, 392, 1014, 4169, 30, 4870, 27, 715, 6410, 32, 2546, 81, 1906, 26, 1906, 27, 400, 813, 44, 528, 1245, 32, 2811, 26, 715, 313, 7085, 904, 101, 15231, 101, 372, 904, 100, 328, 904, 101, 392, 715, 4169, 30, 2470, 30, 786, 30, 4870, 528, 829, 528, 6410, 32, 470, 26, 1906, 30, 1762, 30, 853, 27, 284, 1245, 32, 1338, 440, 25533, 904, 101, 392, 4870, 27, 284, 415, 646, 32609, 81, 1945, 44, 291, 623, 2156, 26, 3607, 30, 330, 105, 683, 619, 296, 44, 324, 6410, 32, 1821, 26, 88, 27, 203, 823, 2470, 81, 1439, 26, 2019, 711, 284, 1256, 81, 2184, 280, 428, 291, 2726, 3264, 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, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 5, 5, 1, 1, 3, 4, 6, 6, 3, 3, 5, 7, 7, 7, 7, 2, 2, 3, 4, 6, 6, 3, 3, 5, 8, 9, 7, 8, 7, 7, 7, 10, 11, 9, 10, 9, 11, 11, 10, 11, 11, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 4, 6, 6, 3, 3, 6, 6, 10, 11, 9, 11, 11, 8, 8, 7, 7, 4, 4, 5, 8, 9, 7, 8, 8, 7, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 2, 2, 3, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 3, 3, 5, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 4, 4, 7, 6, 7, 7, 6, 2, 2, 5, 6, 5, 7, 6, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 3, 3, 5, 6, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 9, 6, 6, 9, 10, 10, 10, 9, 10, 9, 5, 5, 6, 6, 6, 8, 9, 11, 12, 12, 12, 11, 12, 11, 8, 8, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 12, 12, 9, 9, 12, 13, 13, 13, 12, 13, 12, 7, 7, 8, 9, 10, 8, 8, 10, 11, 10, 8, 8, 10, 11, 11, 10, 10, 10, 14, 15, 14, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 14, 15, 15, 15, 14, 15, 14, 15, 14, 11, 11, 12, 13, 15, 16, 15, 16, 15, 12, 12, 16, 17, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 16, 16, 16, 13, 13, 16, 17, 17, 17, 16, 17, 16, 10, 10, 11, 11, 11, 15, 16, 15, 15, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 15, 16, 15, 16, 15, 16, 15, 16, 15, 2, 2, 5, 6, 5, 7, 7, 7, 7, 5, 5, 2, 2, 3, 4, 5, 5, 3, 3, 3, 5, 10, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 10, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 7, 7, 1, 1, 2, 0, 1, 1, 2, 7, 7, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 3, 3, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 8, 8, 0, 1, 2, 0, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 3, 1, 3, 3, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 3, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 6, 1, 1, 1, 6, 6, 6, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 2, 2, 1, 1 ]
[ 1277, 433, 1070, 14234, 267, 32, 48072, 32, 6276, 750, 1188, 12379, 750, 203, 465, 5741, 203, 465, 3619, 22589, 203, 978, 22589, 32, 1981, 463, 36, 32, 34, 683, 203, 465, 25630, 203, 465, 25630, 32, 1843, 1525, 203, 465, 485, 1473, 203, 823, 12379, 383, 7948, 26, 6276, 750, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1169, 10138, 711, 291, 12379, 750, 3667, 1664, 3207, 784, 27, 291, 588, 351, 630, 32, 101, 558, 1419, 1599, 280, 225, 313, 266, 81, 7948, 20, 291, 630, 32, 2593, 1599, 1350, 280, 225, 34, 291, 588, 351, 588, 263, 630, 32, 944, 1599, 26, 464, 10138, 27, 291, 630, 32, 470, 2780, 26, 25630, 32, 720, 2780, 26, 89, 1473, 32, 2319, 81, 5203, 30, 485, 1473, 32, 2319, 81, 5203, 30, 225, 485, 1473, 32, 2319, 81, 11247, 27, 829, 291, 630, 32, 668, 2644, 710, 4243, 785, 280, 2107, 1311, 370, 330, 44598, 370, 330, 779, 785, 291, 630, 32, 668, 2644, 710, 891, 785, 280, 428, 36, 39, 30, 35, 34, 30, 36, 39, 30, 36, 39, 30, 35, 34, 79, 291, 1459, 313, 2171, 432, 38407, 313, 291, 1459, 2069, 26, 784, 32, 1274, 32, 7627, 27, 291, 588, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 0, 1, 1, 3, 0, 4, 4, 3, 4, 3, 5, 5, 5, 5, 0, 1, 1, 0, 1, 1, 2, 3, 3, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 7, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 8, 8, 7, 7, 9, 10, 10, 9, 11, 11, 10, 11, 11, 11, 9, 9, 11, 10, 11, 11, 11, 9, 9, 9, 11, 10, 11, 11, 11, 9, 7, 4, 4, 8, 9, 9, 7, 9, 9, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 8, 9, 9, 7, 9, 9, 6, 6, 8, 8, 7, 8, 8, 7, 8, 8, 7, 8, 8, 7, 8, 8, 7, 4, 4, 5, 7, 7, 7, 7, 4, 4, 5, 7, 10, 9, 10, 8, 9, 7, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 4, 4, 0, 5, 5, 1, 2, 2, 0, 6, 6, 0, 0, 7, 7, 1, 1, 2, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 2, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 3, 2, 2, 2, 1, 1, 1, 0, 5, 2, 2, 2, 1, 1, 4, 4, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 3, 3, 2, 5, 5, 2, 7, 7, 2, 9, 9, 2, 4, 4, 7, 1, 1, 1, 1, 4, 4, 8, 1, 0, 0, 2, 1, 2, 1, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 30, 316, 203, 589, 2361, 81, 944, 81, 302, 81, 466, 26, 761, 81, 2956, 711, 284, 442, 3432, 1147, 26, 1260, 32, 944, 26, 761, 81, 2956, 30, 1300, 81, 7133, 47, 2263, 1147, 471, 5079, 81, 48719, 47, 1815, 27, 203, 589, 2361, 81, 12474, 81, 302, 81, 466, 26, 1260, 81, 878, 711, 284, 442, 3432, 1147, 26, 1260, 32, 12474, 26, 1260, 81, 878, 30, 1300, 81, 7133, 47, 2263, 1147, 471, 5079, 81, 48719, 47, 1815, 27, 203, 589, 3432, 1147, 26, 605, 30, 5079, 81, 48719, 47, 2700, 711, 284, 415, 6937, 26, 605, 30, 15390, 711, 291, 442, 706, 32, 4434, 463, 3310, 31, 42, 683, 284, 415, 6937, 26, 605, 30, 1149, 711, 291, 442, 428, 2263, 1147, 26, 1094, 30, 5079, 81, 48719, 47, 1815, 27, 436, 1623, 328, 706, 79, 284, 415, 6937, 26, 605, 30, 5436, 27, 461, 646, 5079, 81, 48719, 44, 291, 442, 5436, 43270, 2263, 1147, 26, 678, 30, 5079, 81, 48719, 47, 1815, 471, 3432, 1147, 26, 853, 30, 5079, 81, 48719, 47, 1815, 490, 436, 1202, 30, 786, 328, 706, 32, 40957, 27944, 284, 442, 706, 203, 589, 1780, 81, 678, 26, 1311, 711, 284, 1596, 44, 291, 415, 1780, 438, 1665, 44, 1780, 280, 4247, 291, 20357, 81, 272, 280, 2107, 1382, 370, 330, 83, 370, 330, 278, 785, 291, 20357, 81, 286, 280, 2107, 493, 370, 330, 15931, 370, 330, 13983, 785, 291, 20357, 280, 20357, 81, 272, 474, 20357, 81, 286, 291, 2530, 280, 316, 32, 2872, 463, 80, 1162, 78, 105, 40935, 101, 29, 7243, 1780, 32, 5729, 1157, 291, 415, 2530, 461, 2530, 32, 1363, 26, 36, 27, 328, 20357, 44, 324, 3401, 280, 2069, 26, 2872, 32, 1363, 26, 35, 490, 291, 813, 44, 324, 3401, 280, 225, 34, 291, 442, 1780, 77, 2881, 10056, 284, 2940, 44, 291, 442, 1780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 5, 8, 7, 8, 7, 8, 8, 8, 7, 7, 9, 9, 8, 9, 9, 7, 5, 7, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 5, 8, 7, 8, 7, 8, 8, 8, 7, 7, 9, 9, 8, 9, 9, 7, 5, 7, 7, 6, 7, 5, 0, 1, 1, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 5, 6, 5, 5, 5, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 5, 6, 5, 5, 5, 3, 3, 5, 8, 8, 8, 9, 8, 8, 10, 10, 9, 10, 8, 6, 7, 7, 7, 6, 2, 2, 3, 6, 7, 6, 6, 6, 4, 4, 5, 6, 6, 3, 3, 3, 5, 7, 11, 11, 11, 12, 11, 11, 13, 13, 12, 13, 11, 9, 11, 11, 12, 11, 11, 13, 13, 12, 13, 11, 8, 9, 10, 10, 9, 9, 11, 12, 11, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 6, 6, 5, 5, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 7, 7, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 6, 6, 8, 8, 7, 7, 8, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 11, 10, 4, 4, 5, 6, 6, 9, 10, 9, 10, 9, 7, 7, 5, 5, 5, 8, 8, 10, 13, 12, 13, 12, 13, 12, 5, 5, 6, 6, 6, 9, 9, 10, 4, 4, 5, 6, 8, 7, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 0, 0, 3, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 0, 0, 3, 2, 1, 0, 3, 3, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 4, 4, 3, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 5, 1, 1, 0, 2, 1, 1, 1, 2, 2, 5, 5, 5, 0, 0, 1, 0, 0, 2, 1, 1, 1, 5, 5, 4, 4, 4, 0, 0, 2, 2, 2, 6, 1, 0, 2, 0, 0, 3, 3, 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, 0, 0, 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, 465, 4395, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 312, 9263, 32, 1831, 32, 3378, 1188, 308, 284, 11212, 30, 284, 28508, 30, 284, 28508, 2028, 30, 284, 28508, 2333, 30, 203, 27, 203, 1070, 312, 9263, 32, 1831, 32, 2304, 32, 9211, 1188, 18849, 2348, 203, 50, 12408, 32, 1826, 32, 11025, 81, 1199, 203, 823, 2108, 32817, 2333, 9554, 44, 284, 665, 894, 81, 32527, 81, 2250, 81, 1877, 81, 267, 81, 1297, 26, 784, 30, 17041, 30, 2074, 711, 291, 4691, 81, 1617, 280, 28508, 2028, 26, 324, 1914, 81, 2250, 47, 2250, 30, 324, 1914, 81, 983, 1057, 12937, 81, 761, 370, 324, 17041, 47, 12937, 30, 324, 1974, 81, 267, 81, 2250, 81, 1877, 47, 1815, 30, 324, 1914, 1057, 24364, 683, 291, 623, 4395, 32, 2675, 32, 1473, 26, 5817, 81, 1617, 30, 330, 1877, 683, 619, 345, 454, 81, 1877, 44, 324, 4691, 81, 1617, 32, 2853, 346, 324, 345, 454, 81, 1877, 32, 862, 81, 10910, 81, 8232, 81, 1793, 346, 284, 665, 894, 81, 4534, 81, 24364, 81, 13411, 26, 784, 30, 2197, 95, 81, 12937, 81, 1855, 711, 291, 8049, 81, 9882, 280, 2197, 95, 81, 12937, 81, 1855, 32, 24364, 81, 2135, 81, 13411, 291, 1201, 8049, 81, 9882, 863, 4247, 291, 2197, 95, 81, 12937, 81, 1855, 32, 1855, 81, 983, 280, 3056, 890, 6175, 33, 890, 761, 32, 5930, 25, 291, 2197, 95, 81, 12937, 81, 1855, 32, 2853, 346, 291, 1201, 2197, 95, 81, 12937, 81, 1855, 32, 24364, 81, 2135, 81, 13411, 610, 4247, 284, 665, 894, 81, 1855, 81, 2645, 26, 784, 30, 2197, 95, 81, 12937, 81, 1855, 711, 291, 17041, 81, 1877, 280, 28508, 2333, 26, 324, 17041, 81, 1855, 47, 24364, 81, 12937, 81, 1855, 30, 324, 1914, 81, 983, 47, 24364, 81, 12937, 81, 1855, 32, 1855, 81, 983, 27, 291, 1201, 17041, 81, 1877, 32, 371, 81, 7975, 81, 1855, 81, 983, 922, 20643, 14728, 43, 36, 505, 858, 81, 11030, 33, 12937, 81, 761, 683, 284, 665, 894, 81, 1347, 81, 311, 32411, 81, 12525, 26, 784, 30, 2197, 95, 81, 12937, 81, 1855, 711, 291, 623, 4395, 32, 2675, 32, 1473, 26, 24364, 81, 12937, 81, 1855, 32, 1855, 81, 2250, 30, 330, 1877, 683, 619, 345, 454, 81, 1877, 44, 324, 2197, 95, 81, 12937, 81, 1855, 32, 426, 280, 330, 42981, 81, 12937, 25, 324, 2197, 95, 81, 12937, 81, 1855, 32, 2310, 280, 313, 59, 3464, 6325, 458, 11555, 324, 2197, 95, 81, 12937, 81, 1855, 32, 2853, 346, 324, 1201, 646, 345, 454, 81, 1877, 32, 10910, 203, 50, 12408, 32, 1826, 32, 11025, 81, 1199, 203, 823, 2108, 2117, 6600, 1073, 44, 284, 665, 894, 81, 6008, 81, 1877, 81, 267, 81, 2250, 81, 1877, 81, 12565, 26, 784, 30, 17041, 711, 291, 4691, 81, 1617, 35, 280, 28508, 2028, 26, 12937, 47, 12937, 30, 9111, 1974, 81, 267, 81, 2250, 81, 1877, 47, 1815, 30, 9111, 1914, 1057, 24364, 683, 291, 4691, 81, 1617, 35, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 2, 5, 4, 5, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 11, 11, 10, 11, 9, 9, 9, 11, 11, 10, 12, 12, 12, 12, 9, 9, 10, 11, 9, 9, 9, 11, 11, 11, 11, 11, 11, 10, 11, 9, 9, 9, 10, 12, 12, 5, 5, 6, 12, 13, 11, 12, 11, 12, 12, 12, 11, 11, 13, 13, 9, 9, 11, 11, 11, 6, 6, 6, 11, 11, 10, 11, 10, 7, 7, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 5, 5, 6, 8, 8, 7, 7, 5, 5, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 8, 9, 8, 5, 5, 6, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 11, 11, 10, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 10, 12, 12, 12, 12, 12, 11, 12, 12, 12, 9, 5, 5, 6, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 12, 13, 11, 12, 11, 13, 13, 13, 13, 13, 12, 13, 13, 13, 11, 11, 13, 13, 9, 9, 11, 11, 11, 6, 6, 6, 11, 11, 11, 11, 11, 10, 11, 9, 9, 11, 11, 11, 11, 7, 7, 11, 11, 11, 11, 11, 10, 11, 9, 9, 11, 11, 11, 11, 11, 7, 7, 11, 11, 11, 11, 11, 10, 11, 10, 7, 7, 8, 9, 11, 11, 11, 10, 11, 0, 2, 5, 4, 5, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 8, 8, 7, 7, 9, 9, 11, 10, 11, 9, 9, 9, 11, 11, 11, 11, 11, 11, 10, 11, 9, 9, 9, 10, 12, 12, 5, 5, 9, 9, 9, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 3, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 7, 2, 1, 1, 1, 9, 1, 2, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 3, 3, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 3, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 6, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 2, 1, 1, 1, 5, 1, 2, 4, 4, 0, 0, 0, 0 ]
[ 465, 6436, 619, 2065, 30, 5741, 30, 1133, 30, 1671, 203, 465, 13625, 30, 19538, 1803, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 20387, 36, 42, 3103, 34, 34, 44, 284, 26581, 8367, 280, 225, 34, 84, 35, 34, 34, 35, 35, 34, 34, 34, 35, 284, 26581, 3573, 1402, 280, 225, 34, 284, 665, 1156, 1664, 3207, 784, 30, 38909, 30, 3225, 47, 34, 106, 39, 34, 711, 291, 630, 32, 38909, 280, 561, 88, 291, 630, 32, 3225, 280, 8705, 291, 630, 32, 1821, 26, 34, 106, 42, 30, 34, 106, 34, 27, 284, 665, 1491, 12425, 26, 784, 711, 291, 706, 280, 630, 32, 850, 26, 34, 106, 34, 30, 42, 27, 291, 617, 19538, 280, 630, 32, 19538, 42, 26, 605, 77, 34, 44, 41, 614, 784, 32, 19538, 8367, 30, 784, 32, 19538, 3573, 1402, 27, 291, 415, 617, 19538, 863, 706, 77, 41, 2786, 324, 4082, 32, 731, 463, 2948, 1451, 26581, 42, 3803, 22735, 291, 442, 706, 284, 665, 1491, 26, 784, 30, 1582, 47, 2521, 30, 1322, 47, 35, 711, 291, 442, 630, 32, 38909, 32, 850, 26, 784, 32, 3225, 30, 1582, 30, 1322, 27, 284, 665, 2866, 26, 784, 30, 1582, 47, 2521, 30, 605, 47, 2521, 711, 291, 630, 32, 38909, 32, 1821, 26, 784, 32, 3225, 30, 1582, 30, 605, 27, 284, 665, 26581, 42, 26, 784, 30, 605, 30, 8541, 47, 34, 106, 35, 37, 35, 30, 1664, 1402, 47, 34, 711, 291, 26581, 280, 3219, 1402, 291, 415, 6937, 26, 605, 30, 9769, 32, 17325, 711, 324, 436, 343, 328, 706, 44, 400, 26581, 280, 630, 32, 19538, 42, 26, 86, 30, 8541, 30, 19538, 27, 324, 442, 26581, 291, 813, 44, 324, 26581, 42, 81, 1298, 280, 26581, 1803, 32, 4765, 46334, 11591, 26, 8541, 30, 19538, 27, 324, 442, 26581, 42, 81, 1298, 26, 9918, 26, 605, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 5, 4, 6, 5, 6, 6, 6, 6, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 9, 8, 10, 9, 11, 10, 11, 9, 10, 9, 10, 10, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 7, 6, 6, 7, 8, 7, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 4, 4, 5, 2, 2, 3, 4, 5, 4, 6, 5, 6, 4, 6, 5, 6, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 6, 5, 6, 4, 6, 5, 6, 4, 3, 3, 8, 9, 7, 8, 7, 9, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 5, 4, 6, 5, 6, 6, 6, 6, 6, 4, 6, 6, 5, 6, 4, 3, 3, 6, 6, 7, 4, 4, 5, 7, 8, 7, 9, 8, 9, 7, 5, 5, 7, 7, 7, 7, 7, 7, 10, 10, 12, 13, 13, 12, 13, 12, 13, 12, 13, 12, 6, 6, 7, 5, 5, 6, 6, 6, 10, 10, 10, 9, 9, 12, 11, 12, 12, 12, 11, 12, 11, 12, 11, 7, 7, 8, 10, 10, 10, 10, 12, 12, 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 ]
[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 3, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 3, 3, 2, 1, 1, 1, 2, 3, 2, 0, 5, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 3, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 3, 2, 2, 1, 0, 5, 2, 2, 2, 1, 4, 4, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 4, 2, 1, 2, 0, 3, 2, 2, 0, 5, 2, 2, 4, 4, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 3, 1, 5, 1, 3, 3, 5, 2, 1, 2, 0, 3, 2, 2, 0, 5, 2, 2, 5, 5, 0, 2, 0, 2, 1, 0, 1, 2, 1, 3, 1, 5, 1, 3, 3, 6, 1, 2, 1, 2, 3, 2, 0, 5, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 6, 6, 0, 0, 2, 4, 4, 1, 1, 1, 1, 0, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 5, 1, 3, 3, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 2, 2, 1, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 100, 2993, 203, 497, 617, 28494, 31, 40994, 44, 203, 2533, 5849, 203, 5770, 2471, 544, 17495, 203, 2533, 5849, 203, 10921, 996, 7624, 1629, 3208, 2471, 544, 17495, 328, 8074, 30, 461, 203, 6893, 561, 438, 3390, 328, 488, 3567, 31, 8312, 328, 8409, 32, 203, 45200, 9175, 436, 37417, 9264, 432, 18452, 203, 2029, 6735, 883, 526, 2431, 328, 203, 926, 5505, 549, 34630, 18126, 308, 35, 43, 42, 41, 27, 499, 4100, 13674, 5781, 926, 5505, 27526, 18126, 35, 43, 42, 41, 82, 203, 363, 439, 1225, 867, 271, 549, 47401, 1874, 308, 36, 34, 34, 36, 27, 499, 4100, 13674, 5781, 59, 1225, 867, 271, 60, 265, 1874, 36, 34, 34, 36, 1801, 203, 363, 436, 17495, 328, 600, 488, 33, 4153, 57, 1619, 996, 13152, 9175, 203, 73, 314, 29159, 319, 364, 743, 3424, 308, 36, 34, 35, 39, 27, 499, 4100, 13674, 5781, 73, 314, 29159, 20727, 1504, 36, 34, 35, 39, 2541, 203, 497, 5997, 403, 664, 1348, 13014, 13107, 10191, 11086, 1991, 322, 32775, 101, 432, 17495, 461, 322, 664, 6735, 32045, 688, 1983, 1991, 37641, 312, 2761, 32, 1670, 844, 2258, 2637, 372, 3702, 664, 2624, 372, 4871, 322, 1244, 10582, 328, 488, 3567, 31, 8312, 372, 1370, 706, 30, 7116, 458, 664, 13014, 461, 1491, 499, 612, 5781, 47426, 31, 2029, 31, 38346, 82, 4174, 308, 698, 1629, 3368, 30, 844, 664, 1395, 6539, 1751, 461, 1491, 458, 1591, 5133, 41460, 229, 547, 203, 14764, 7603, 203, 1281, 47, 203, 31503, 1578, 5654, 623, 17495, 23438, 290, 22542, 716, 11081, 706, 884, 17767, 203, 266, 624, 314, 29159, 319, 364, 743, 3424, 308, 36, 34, 35, 36, 27, 499, 4100, 13674, 5781, 73, 314, 29159, 13551, 290, 873, 36, 34, 35, 36, 1801, 2154, 2953, 203, 468, 837, 623, 458, 7603, 44, 284, 48106, 883, 1056, 328, 6295, 444, 1673, 373, 1785, 432, 322, 1133, 8419, 284, 308, 363, 38111, 27, 432, 312, 7060, 619, 15433, 733, 810, 35744, 68, 514, 272, 308, 36, 34, 35, 35, 27, 284, 499, 4100, 13674, 5781, 31268, 68, 514, 272, 36, 34, 35, 35, 2541, 284, 23156, 30, 17495, 1395, 646, 526, 1654, 6147, 631, 32, 8746, 30, 415, 15987, 432, 284, 17495, 884, 281, 4846, 44396, 11870, 461, 2761, 21419, 884, 18206, 1191, 30, 284, 312, 2080, 46158, 432, 322, 32399, 41593, 432, 13996, 284, 23438, 290, 22542, 716, 11081, 706, 438, 4195, 461, 20719, 26102, 5878, 284, 883, 526, 14098, 623, 17495, 32, 203, 383, 1604, 8153, 30, 17495, 883, 12075, 7060, 31, 452, 31, 15964, 12488, 308, 12425, 68, 471, 1273, 415, 561, 203, 297, 646, 1654, 40963, 30, 561, 883, 1673, 373, 706, 32, 9540, 996, 9845, 372, 6369, 1629, 203, 40994, 46297, 1259, 4250, 883, 6085, 7648, 17495, 16719, 31, 29067, 461, 6916, 203, 63, 3567, 31, 8312, 1401, 16825, 8409, 10071, 32, 203, 497, 617, 47426, 81, 40994, 81, 31079, 44, 203, 37290, 46297, 203, 1281, 203, 9809, 1182, 622, 1629, 432, 322, 6550, 7744, 2835, 32, 701, 322, 13472, 5880, 30, 18452, 203, 9211, 1159, 312, 8872, 667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 30, 7976, 81, 465, 203, 465, 2322, 203, 465, 5237, 203, 465, 36252, 203, 1070, 3363, 1188, 18394, 2338, 203, 325, 5237, 32, 1648, 81, 1338, 77, 34, 79, 2377, 225, 37, 44, 284, 281, 652, 2338, 280, 18394, 2338, 203, 1824, 44, 284, 645, 281, 652, 2338, 1188, 44524, 619, 281, 652, 2338, 203, 1070, 29590, 1188, 8664, 270, 957, 203, 465, 6436, 619, 2065, 203, 1070, 6436, 32, 4266, 1188, 308, 862, 3739, 1201, 81, 2228, 30, 1201, 81, 16708, 30, 6029, 1420, 81, 1647, 81, 9089, 27, 203, 1070, 18414, 32, 716, 32, 39141, 32, 15189, 1188, 1930, 81, 2238, 30, 766, 284, 12671, 1862, 30, 281, 652, 1862, 30, 2032, 1862, 30, 2523, 1356, 6984, 30, 766, 284, 617, 850, 81, 8005, 30, 617, 850, 81, 800, 203, 2548, 280, 1665, 203, 5360, 280, 1665, 203, 1729, 280, 1665, 203, 10555, 280, 1665, 203, 589, 4705, 2262, 284, 909, 280, 323, 25, 83, 78, 106, 34, 34, 800, 25, 284, 3649, 5980, 30, 23122, 30, 9101, 30, 18146, 284, 9899, 30, 18146, 280, 8664, 270, 957, 346, 284, 5980, 280, 2322, 32, 2995, 1676, 26, 2995, 30, 330, 12108, 683, 284, 5980, 32, 1821, 26, 695, 27, 284, 5980, 32, 2679, 346, 284, 5980, 280, 2156, 26, 10555, 30, 330, 4506, 683, 284, 23122, 280, 18394, 2338, 26, 695, 27, 284, 9101, 280, 281, 652, 2338, 26, 695, 27, 203, 589, 40688, 2262, 284, 3649, 18146, 30, 5980, 284, 5980, 32, 2679, 346, 284, 3555, 5980, 284, 2322, 32, 23754, 26, 10555, 27, 203, 589, 894, 81, 2682, 81, 2238, 2262, 284, 3649, 5980, 30, 23122, 30, 9101, 284, 1201, 5908, 38003, 26, 2682, 81, 2238, 26, 5360, 471, 12671, 1862, 490, 284, 415, 5237, 32, 1648, 81, 1338, 77, 34, 79, 333, 225, 37, 44, 291, 1201, 5908, 38003, 26, 2682, 81, 2238, 26, 1729, 471, 281, 652, 1862, 490, 291, 1201, 5908, 38003, 26, 2682, 81, 2238, 26, 2548, 471, 2032, 1862, 490, 203, 589, 894, 81, 27787, 81, 14408, 2262, 284, 3649, 5980, 30, 23122, 30, 9101, 284, 436, 309, 328, 308, 2548, 30, 23122, 30, 9101, 711, 291, 376, 280, 1930, 81, 2238, 26, 101, 27, 291, 736, 280, 376, 32, 14408, 26, 34, 27, 291, 6761, 1201, 81, 2228, 30, 736, 30, 225, 34, 291, 6761, 1201, 81, 2228, 30, 376, 32, 27787, 1026, 225, 34, 291, 736, 280, 376, 32, 14408, 26, 39, 27, 291, 6761, 1201, 81, 2228, 30, 736, 30, 225, 34, 291, 6761, 1201, 81, 2228, 30, 376, 32, 27787, 1026, 225, 39, 291, 736, 280, 376, 32, 14408, 26, 36, 30, 225, 35, 27, 291, 6761, 1201, 81, 2228, 30, 736, 30, 225, 34, 291, 6761, 1201, 81, 2228, 30, 376, 32, 27787, 1026, 225, 41, 291, 736, 280, 376, 32, 14408, 3736, 36, 30, 225, 36, 27, 291, 6761, 1201, 81, 2228, 30, 736, 30, 225, 34, 291, 6761, 1201, 81, 2228, 30, 376, 32, 27787, 1026, 225, 40, 203, 589, 894, 81, 850, 2262, 284, 3649 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 4, 5, 5, 5, 3, 4, 3, 2, 2, 3, 1, 1, 1, 5, 5, 4, 4, 5, 1, 2, 2, 2, 2, 4, 6, 6, 4, 4, 5, 5, 6, 6, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 3, 2, 2, 0, 3, 2, 2, 0, 3, 2, 2, 0, 3, 2, 2, 0, 1, 1, 2, 1, 1, 4, 4, 6, 6, 7, 7, 7, 7, 6, 6, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 7, 7, 6, 7, 6, 6, 8, 8, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 6, 8, 8, 2, 2, 4, 4, 6, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 7, 6, 0, 1, 1, 2, 1, 1, 3, 3, 3, 2, 2, 5, 6, 5, 2, 2, 3, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 2, 2, 5, 7, 7, 9, 9, 9, 9, 10, 9, 7, 8, 7, 2, 2, 3, 6, 7, 7, 7, 5, 6, 5, 4, 4, 5, 3, 3, 3, 7, 9, 9, 11, 11, 11, 11, 12, 11, 9, 10, 10, 9, 4, 4, 7, 9, 9, 11, 11, 11, 11, 12, 11, 9, 10, 9, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 8, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 6, 8, 8, 7, 7, 7, 7, 8, 4, 4, 6, 8, 8, 7, 7, 9, 10, 9, 7, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 6, 8, 8, 7, 7, 7, 7, 8, 4, 4, 6, 8, 8, 7, 7, 9, 10, 9, 7, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 9, 8, 4, 4, 6, 8, 8, 7, 7, 7, 7, 8, 4, 4, 6, 8, 8, 7, 7, 9, 10, 9, 7, 8, 4, 4, 6, 6, 8, 9, 8, 10, 8, 8, 9, 8, 4, 4, 6, 8, 8, 7, 7, 7, 7, 8, 4, 4, 6, 8, 8, 7, 7, 9, 10, 9, 7, 8, 0, 1, 1, 2, 2, 2, 1, 1 ]
[ 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, 4, 4, 0, 0, 5, 5, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 2, 5, 4, 4, 4, 4, 0, 0, 0, 0, 0, 3, 3, 2, 2, 0, 6, 6, 6, 6, 0, 0, 0, 7, 7, 1, 1, 0, 8, 8, 1, 2, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 9, 9, 5, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 14, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 2, 14, 14, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 0, 15, 15, 2, 15, 15, 0, 0, 0, 4, 4, 0, 2, 1, 4, 4, 2, 4, 4, 0, 2, 1, 1, 1, 0, 16, 16, 1, 1, 1, 1, 2, 16, 16, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 0, 17, 17, 1, 1, 1, 1, 2, 17, 17, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 1, 1, 1, 1, 4, 5, 5, 0, 0, 0, 1, 1, 0, 2, 1, 1, 4, 5, 5, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 1, 1, 1, 1, 4, 5, 5, 0, 0, 0, 1, 1, 0, 2, 1, 1, 4, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 5, 5, 0, 0, 0, 1, 1, 1, 1, 4, 5, 5, 0, 0, 0, 1, 1, 0, 2, 1, 1, 4, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 5, 5, 0, 0, 0, 1, 1, 1, 1, 4, 5, 5, 0, 0, 0, 1, 1, 0, 2, 1, 1, 4, 0, 18, 18, 1, 1, 2, 18, 18 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 2304, 1188, 6571, 81, 5843, 203, 823, 551, 26913, 72, 1761, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 81, 6177, 280, 540, 25, 641, 49, 555, 18470, 1499, 8169, 6505, 3589, 1601, 104, 8169, 508, 7404, 284, 617, 5915, 81, 2413, 81, 11779, 62, 280, 617, 5915, 81, 2413, 81, 6177, 474, 540, 25, 18470, 12456, 33, 6155, 4242, 28, 12456, 8172, 5233, 6155, 16335, 101, 77, 51, 31, 76, 79, 7374, 49, 66, 46, 314, 5213, 86, 109, 35, 36, 1748, 8169, 916, 25, 284, 617, 21050, 81, 10322, 81, 29396, 280, 540, 25, 12477, 507, 12456, 48, 6155, 823, 347, 5000, 81, 1521, 20, 12456, 48, 6603, 5103, 25, 284, 551, 6513, 1197, 2478, 81, 2413, 81, 17143, 280, 330, 525, 555, 14297, 32, 28866, 331, 587, 32, 1299, 9708, 101, 9708, 101, 81, 1536, 33, 1055, 32, 916, 49, 5000, 606, 6132, 101, 25, 284, 665, 617, 28866, 331, 587, 81, 965, 81, 1267, 26, 784, 30, 6027, 81, 314, 30, 6027, 81, 1521, 711, 291, 3497, 81, 314, 280, 6027, 81, 1521, 32, 371, 463, 3524, 314, 683, 556, 330, 42, 41, 40, 38, 39, 34, 40, 35, 36, 34, 34, 35, 25, 291, 4362, 81, 314, 280, 6027, 81, 1521, 32, 371, 463, 3840, 314, 683, 556, 330, 59, 36, 99, 9186, 2506, 38, 103, 25, 291, 442, 630, 32, 965, 81, 1267, 26, 324, 630, 32, 4758, 4006, 1197, 2478, 81, 2413, 81, 17143, 904, 308, 3524, 81, 314, 30, 4362, 81, 314, 30, 6027, 81, 314, 471, 324, 330, 52, 990, 331, 587, 1812, 370, 6027, 81, 314, 27, 203, 823, 551, 26913, 72, 3989, 26, 8709, 3895, 72, 1761, 3989, 711, 284, 12265, 81, 2474, 280, 330, 3589, 1601, 104, 25, 284, 617, 5915, 81, 2413, 280, 551, 26913, 72, 1761, 3989, 1114, 5915, 81, 2413, 81, 11779, 62, 904, 330, 72, 25, 284, 617, 24685, 280, 7316, 291, 330, 965, 950, 330, 641, 555, 1499, 32, 3589, 1601, 104, 32, 508, 33, 43328, 2673, 33, 405, 1588, 8335, 31, 4229, 2558, 31, 94, 31, 297, 17320, 31, 445, 31, 6854, 31, 2808, 42599, 31, 19953, 31, 26151, 31, 6854, 31, 961, 277, 31, 4452, 92, 515, 86, 31, 90, 1707, 31, 568, 37854, 31, 86, 693, 31, 274, 31, 1211, 286, 81, 25230, 31, 36, 34, 36, 34, 35, 34, 34, 36, 34, 35, 38, 40, 32, 916, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 40, 35, 43, 40, 41, 38, 41, 42, 40, 42, 34, 34, 35, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 12293, 1588, 8335, 9489, 2558, 44, 313, 62, 6945, 1622, 17320, 3236, 11538, 1875, 42599, 12990, 23710, 11538, 16074, 277, 312, 9635, 515, 86, 2735, 90, 1707, 30, 880, 37854, 10596, 999, 3777, 286, 21684, 324, 330, 2310, 950, 330, 1475, 5186, 8102, 4840, 309, 6945, 327, 17720, 6178, 2317, 7000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 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, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 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, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 10, 10, 9, 10, 9, 11, 11, 11, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 10, 10, 9, 10, 9, 11, 11, 11, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 7, 8, 8, 8, 7, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 9, 9, 10, 10, 9, 9, 10, 10, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 2, 2, 5, 4, 4, 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, 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, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1 ]
[ 465, 20717, 203, 823, 38246, 10136, 3135, 44, 284, 1156, 2559, 32095, 505, 280, 20717, 32, 1319, 3103, 2281, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 5065, 81, 314, 26, 784, 711, 291, 442, 10065, 13872, 81, 314, 280, 2804, 26, 88, 371, 47, 371, 81, 5065, 81, 314, 27, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 5065, 26, 784, 711, 291, 442, 10065, 13872, 280, 2804, 26, 88, 371, 47, 371, 81, 5065, 27, 284, 477, 8183, 32, 37697, 284, 665, 883, 81, 10122, 81, 40186, 26, 784, 711, 291, 442, 10065, 477, 8183, 32, 37697, 284, 665, 793, 81, 980, 26240, 81, 19115, 81, 1071, 26, 784, 711, 291, 3097, 284, 477, 8183, 32, 37697, 284, 665, 793, 81, 557, 272, 672, 81, 19115, 81, 1071, 26, 784, 711, 291, 3097, 284, 477, 8183, 32, 37697, 284, 665, 793, 81, 10930, 25087, 81, 5065, 81, 1071, 26, 784, 711, 291, 3097, 284, 477, 8183, 32, 37697, 284, 665, 793, 81, 297, 23723, 81, 5065, 81, 1071, 26, 784, 711, 291, 3097, 284, 477, 8183, 32, 37697, 284, 665, 793, 81, 27129, 81, 19115, 81, 1071, 26, 784, 711, 291, 3097, 284, 477, 8183, 32, 37697, 284, 665, 793, 81, 1813, 81, 27129, 81, 19115, 81, 1071, 26, 784, 711, 291, 3097, 284, 477, 8183, 32, 37697, 284, 665, 622, 81, 19115, 26, 784, 30, 12112, 81, 314, 711, 291, 442, 10065, 477, 8183, 32, 37697, 284, 665, 622, 81, 40186, 81, 1170, 81, 3631, 26, 784, 30, 12112, 81, 3631, 711, 291, 442, 10065, 477, 8183, 32, 37697, 284, 665, 622, 81, 40186, 81, 1170, 81, 2518, 352, 81, 681, 26, 784, 30, 12112, 81, 2518, 352, 81, 681, 711, 291, 442, 10065, 477, 8183, 32, 37697, 284, 665, 622, 81, 40186, 81, 1170, 81, 2544, 81, 2518, 352, 81, 681, 26, 784, 30, 12112, 81, 2518, 352, 81, 681, 711, 291, 442, 10065, 477, 8183, 32, 37697, 284, 665, 622, 81, 40186, 81, 1170, 81, 4133, 81, 681, 26, 784, 30, 12112, 81, 4133, 81, 681, 711, 291, 442, 10065, 477, 8183, 32, 37697, 284, 665, 622, 81, 40186, 81, 267, 81, 770, 26, 784, 30, 645, 3739, 372, 711, 291, 442, 10065, 477, 8183, 32, 37697, 284, 665, 622, 81, 40186, 81, 979, 81, 1855, 26, 784, 30, 1914, 81, 314, 711, 291, 442, 10065, 477, 8183, 32, 37697, 284, 665, 622, 81, 40186, 81, 979, 81, 1855, 81, 267, 81, 770, 26, 784, 30, 1914, 81, 314, 30, 645, 3739, 372, 711, 291, 442, 10065, 477, 8183, 32, 37697, 284, 665, 622, 81, 40186, 81, 1170, 81, 2518, 352, 81, 681, 81, 979, 81, 1855, 26, 784, 30, 1914, 81, 314, 30, 12112, 81, 2518, 352, 81, 681, 711, 291, 442, 10065, 477, 8183, 32, 37697, 284, 665, 622, 81, 40186, 81, 1170, 81, 2518, 352, 81, 681, 81, 979, 81, 1855, 81, 267, 81, 770, 26, 784, 30, 1914, 81, 314, 30, 12112, 81, 2518, 352, 81, 681, 30, 645, 3739, 372, 711, 291, 442, 10065, 477, 8183, 32, 37697, 284, 665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 5, 5, 5, 4, 4, 5, 6, 6, 6, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 2, 2, 5, 5, 4, 4, 6, 8, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 2, 2, 4, 4, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 5, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 6, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 6, 5, 5, 6, 5, 5, 4, 4, 2, 2, 6, 5, 6, 3, 3 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 3, 3, 0, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 3, 3, 0, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 0, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 0, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 0, 1, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 0, 1, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 0, 1, 2, 10, 10, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 0, 1, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 0, 1, 2, 12, 12, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 3, 3, 0, 1, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 3, 3, 0, 1, 2, 14, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 3, 0, 1, 2, 15, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 3, 3, 0, 1, 2, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 3, 0, 1, 2, 17, 17, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 3, 3, 0, 1, 2, 18, 18, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 3, 3, 0, 1, 2, 19, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 1, 1, 3, 3, 0, 1, 2, 20, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 5, 2, 1, 1, 3, 3, 0, 1, 2, 21, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 5, 2, 2, 7, 2, 2, 1, 1, 3, 3, 0, 1, 2, 22, 22 ]
[ 465, 10020, 203, 465, 1695, 40, 38, 203, 465, 11412, 203, 465, 35094, 203, 465, 12460, 203, 465, 31074, 203, 465, 594, 17321, 36, 203, 465, 5741, 203, 465, 4134, 203, 465, 7138, 203, 465, 42406, 203, 465, 2322, 203, 465, 316, 203, 465, 4281, 1260, 203, 465, 5237, 203, 465, 1133, 203, 465, 22045, 36, 203, 465, 36252, 203, 1070, 5592, 32, 48609, 1188, 6828, 3350, 203, 1070, 281, 652, 2338, 1188, 44524, 203, 465, 28835, 32, 6286, 32, 843, 761, 203, 465, 10381, 93, 39583, 32, 2304, 203, 465, 10381, 93, 39583, 32, 34745, 203, 1270, 44, 284, 1188, 32348, 6000, 203, 7343, 29986, 44, 284, 32348, 6000, 280, 1665, 203, 465, 3089, 749, 98, 203, 465, 3089, 749, 98, 32, 3477, 32, 8200, 203, 1070, 3089, 749, 98, 32, 23403, 32, 1439, 32, 476, 32, 476, 81, 99, 1840, 1188, 25802, 4767, 30, 1910, 2595, 3442, 5965, 203, 1070, 3089, 749, 98, 32, 3477, 1188, 622, 81, 1647, 81, 3142, 203, 1070, 3089, 749, 98, 32, 4280, 1188, 29451, 11081, 81, 3323, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 1070, 3089, 749, 98, 32, 4280, 1188, 1044, 466, 203, 1070, 3089, 749, 98, 1188, 1913, 203, 1070, 3089, 749, 98, 32, 525, 1188, 1326, 30, 12741, 81, 3893, 619, 617, 6282, 81, 3893, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 325, 19326, 26, 3731, 30, 330, 30480, 7831, 284, 1519, 280, 2322, 32, 983, 32, 35490, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 31001, 370, 330, 4338, 2847, 284, 11522, 280, 594, 17321, 36, 32, 13871, 4888, 26, 983, 27, 203, 1824, 44, 284, 11522, 280, 594, 17321, 36, 32, 4045, 4888, 463, 520, 749, 98, 32, 23403, 32, 1840, 370, 313, 4338, 657, 203, 2121, 280, 594, 17321, 36, 32, 6330, 26, 4554, 47, 4554, 30, 2267, 11731, 47, 1815, 27, 203, 2121, 32, 9211, 1365, 1260, 1446, 280, 4281, 1260, 32, 16958, 203, 52, 44910, 81, 3459, 3470, 280, 225, 40, 34, 319, 225, 40, 34, 319, 225, 36, 38, 319, 225, 41, 203, 1199, 81, 668, 280, 1913, 32, 1199, 81, 668, 203, 1199, 81, 1211, 9605, 280, 1913, 32, 1199, 81, 1211, 9605, 203, 589, 12741, 81, 3893, 26, 88, 711, 284, 477, 6381, 288, 7550, 32, 4071, 101, 26, 88, 27, 284, 665, 9804, 2740, 1132, 30, 1115, 5321, 711, 291, 1596, 44, 324, 442, 296, 2740, 1132, 30, 1115, 5321, 27, 291, 2940, 3268, 30, 484, 44, 324, 617, 4073, 32, 3893, 440, 1045, 3756, 30695, 5929, 600, 1913, 1326, 657, 324, 408, 280, 617, 6282, 81, 3893, 26, 87, 27, 324, 1048, 280, 301, 400, 330, 687, 950, 225, 36, 34, 34, 30, 400, 330, 1436, 950, 313, 24806, 604, 4226, 3081, 392, 400, 330, 605, 950, 408, 324, 320, 324, 442, 10381, 93, 39583, 32, 11452, 32, 29124, 26, 6656, 1260, 32, 16958, 26, 731, 490, 284, 442, 9804, 203, 589, 5668, 81, 1793, 81, 2888, 2740, 1132, 30, 1115, 4124, 711, 284, 442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 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, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 3, 2, 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, 2, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 4, 4, 2, 2, 3, 3, 3, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 3, 4, 3, 3, 5, 5, 1, 1, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 8, 10, 8, 10, 10, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 7, 6, 1, 2, 2, 2, 2, 5, 5, 8, 8, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 0, 3, 2, 2, 5, 5, 4, 5, 4, 6, 5, 6, 4, 4, 6, 5, 6, 4, 0, 5, 4, 5, 3, 5, 5, 2, 2, 4, 3, 4, 0, 3, 3, 3, 3, 3, 2, 2, 6, 6, 5, 5, 6, 6, 4, 4, 5, 5, 3, 3, 4, 0, 3, 3, 3, 2, 2, 3, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 7, 7, 7, 6, 7, 7, 6, 7, 6, 3, 3, 4, 5, 7, 5, 5, 7, 5, 4, 4, 6, 6, 6, 8, 10, 12, 10, 10, 12, 10, 6, 6, 7, 7, 7, 7, 7, 7, 12, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 8, 8, 10, 10, 12, 12, 12, 12, 13, 12, 8, 8, 10, 10, 11, 11, 14, 14, 12, 13, 13, 13, 11, 11, 11, 14, 14, 12, 14, 14, 14, 14, 14, 11, 11, 14, 14, 12, 11, 11, 8, 8, 9, 13, 13, 12, 13, 11, 12, 11, 14, 14, 13, 14, 13, 14, 13, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 0, 14, 14, 0, 15, 15, 0, 16, 16, 0, 0, 17, 17, 0, 18, 18, 1, 2, 18, 18, 0, 0, 19, 19, 0, 0, 19, 19, 0, 20, 20, 1, 2, 1, 4, 4, 0, 21, 21, 0, 0, 1, 2, 0, 22, 22, 0, 0, 1, 2, 0, 23, 23, 23, 23, 0, 0, 23, 3, 3, 3, 3, 3, 0, 0, 0, 0, 24, 24, 0, 0, 0, 25, 25, 0, 0, 1, 2, 1, 4, 0, 26, 26, 0, 0, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 8, 26, 26, 0, 26, 26, 0, 0, 0, 0, 27, 27, 0, 0, 1, 2, 27, 27, 0, 0, 0, 0, 0, 28, 28, 0, 0, 1, 2, 28, 28, 0, 0, 0, 0, 29, 29, 0, 0, 1, 2, 1, 4, 29, 29, 0, 30, 30, 0, 0, 1, 2, 30, 30, 0, 0, 31, 31, 0, 0, 31, 31, 0, 32, 32, 0, 0, 1, 2, 32, 32, 32, 32, 0, 0, 5, 5, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 34, 34, 1, 1, 1, 1, 1, 2, 34, 34, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 34, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 3, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 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, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 40, 40, 1, 1, 2, 1, 2, 40, 40, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 5, 5, 3, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 41, 41, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 41, 41 ]
[ 24021, 2893, 280, 5881, 203, 1647, 44, 4138, 5350, 203, 4021, 81, 2310, 44, 8571, 1340, 5625, 461, 11188, 5216, 372, 4138, 5350, 203, 2310, 44, 334, 429, 8571, 1340, 5625, 461, 11188, 5216, 372, 9781, 5350, 203, 1648, 81, 11043, 44, 313, 35, 32, 40, 20, 203, 2116, 44, 313, 28046, 2619, 1552, 107, 11931, 84, 1354, 1552, 107, 4731, 203, 2184, 44, 334, 1202, 44, 284, 3048, 44, 397, 429, 2330, 1202, 32, 284, 2129, 44, 861, 284, 1244, 44, 744, 334, 1692, 44, 284, 3048, 44, 397, 429, 886, 827, 432, 1692, 372, 3240, 30, 3154, 11188, 556, 5625, 284, 16682, 44, 2107, 4330, 370, 330, 6285, 785, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 14121, 81, 314, 44, 284, 3048, 44, 397, 429, 886, 14121, 432, 322, 1340, 688, 1597, 18331, 32, 11526, 436, 5625, 5216, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 18331, 81, 1170, 44, 284, 3048, 44, 397, 429, 886, 4916, 556, 13047, 18392, 436, 36652, 322, 1340, 284, 2129, 44, 901, 284, 1244, 44, 313, 1045, 21581, 20, 334, 18331, 81, 452, 44, 284, 3048, 44, 397, 429, 313, 1318, 4706, 1340, 1597, 18331, 372, 32, 308, 1075, 44, 8226, 30, 31023, 30, 11351, 4731, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 5338, 44, 284, 3048, 44, 397, 429, 886, 5338, 308, 271, 2074, 27, 18331, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 3124, 44, 284, 3048, 44, 8572, 429, 886, 7299, 432, 322, 11188, 1474, 30, 328, 14917, 1344, 32, 225, 2589, 5827, 318, 372, 225, 36, 39, 40, 7125, 32, 11526, 436, 11188, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 30395, 81, 1170, 44, 3701, 3048, 44, 397, 429, 886, 4916, 556, 13047, 2589, 19483, 322, 11188, 1395, 526, 38636, 318, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 313, 1045, 21581, 20, 334, 3193, 44, 3701, 3048, 44, 397, 429, 1591, 432, 9935, 33, 17235, 33, 2930, 30, 10071, 372, 9935, 415, 646, 13798, 32, 225, 2589, 12911, 13328, 2503, 32, 284, 16682, 44, 2107, 1589, 370, 330, 17235, 370, 330, 2930, 785, 284, 2129, 44, 901, 284, 1244, 44, 330, 1589, 25, 334, 1980, 81, 314, 44, 284, 3048, 44, 397, 429, 804, 432, 600, 13486, 36, 1980, 688, 458, 1692, 1395, 526, 13076, 372, 30, 1510, 1098, 2723, 322, 25248, 2154, 458, 1692, 438, 10043, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 1692, 81, 8836, 44, 284, 3048, 44, 397, 429, 313, 19541, 6341, 432, 2154, 322, 1692, 1395, 9250, 328, 322, 24253, 30, 10071, 372, 2464, 32, 4261, 34942, 623, 458, 3107, 284, 2129, 44, 901, 284, 1244, 44, 744, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 4138, 5350, 44, 1202, 47, 45574, 1692, 47, 6285, 18331, 81, 452, 47, 12191, 18331, 81, 1170, 47, 274, 2144, 107, 10649, 5338, 47, 3758, 36884, 14121, 81, 314, 47, 34439, 35, 36, 37, 203, 31, 4138, 5350, 44, 1202, 47, 45574, 1692, 47, 4330, 3124, 347, 57, 7104, 2052, 645, 35603, 20, 30395, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 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, 0, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 465, 5237, 203, 465, 4134, 203, 465, 17787, 203, 1270, 44, 284, 35198, 203, 7343, 3270, 924, 44, 10065, 35198, 280, 2155, 203, 589, 5510, 4206, 26, 2067, 30, 1411, 47, 2700, 711, 284, 1596, 44, 291, 1638, 1338, 280, 17787, 32, 371, 1132, 897, 26, 2067, 27, 284, 2940, 12678, 44, 291, 5237, 32, 8228, 32, 1821, 440, 681, 1048, 78, 96, 657, 291, 442, 284, 2181, 280, 1638, 1338, 77, 34, 79, 284, 5585, 280, 2149, 284, 5585, 710, 426, 785, 280, 2830, 3667, 426, 505, 284, 415, 2830, 3667, 1427, 505, 438, 646, 1665, 44, 291, 5585, 710, 3801, 785, 280, 2830, 3667, 1427, 505, 284, 415, 2181, 44, 291, 415, 2181, 77, 34, 79, 610, 330, 784, 950, 324, 2181, 32, 3235, 26, 34, 27, 291, 5585, 710, 1132, 785, 280, 2181, 291, 415, 1638, 1338, 77, 37, 2786, 324, 20927, 280, 2069, 26, 626, 1338, 77, 37, 1130, 324, 743, 280, 2069, 26, 1132, 27, 324, 665, 1132, 280, 2181, 77, 279, 429, 20927, 44, 279, 79, 324, 415, 5237, 32, 1648, 81, 1338, 333, 308, 37, 30, 711, 400, 5585, 710, 1536, 31, 1132, 785, 280, 8529, 26, 589, 1132, 30, 1638, 1338, 77, 37, 1130, 324, 813, 44, 400, 5585, 710, 1536, 31, 1132, 785, 280, 1149, 26, 3969, 26, 589, 1132, 30, 1638, 1338, 77, 37, 5259, 324, 436, 595, 328, 35198, 26, 1657, 26, 3801, 710, 1536, 31, 1132, 7698, 44, 400, 831, 30, 354, 280, 5585, 710, 1536, 31, 1132, 8150, 91, 79, 400, 415, 354, 438, 1665, 44, 528, 5585, 710, 1536, 31, 1132, 8150, 91, 79, 280, 308, 93, 30, 596, 26, 104, 490, 284, 813, 44, 291, 5585, 710, 1132, 785, 280, 1605, 284, 415, 1638, 1338, 77, 35, 2786, 291, 5585, 710, 966, 31, 1132, 785, 280, 1638, 1338, 77, 35, 79, 284, 415, 1638, 1338, 77, 36, 2786, 291, 5585, 710, 7317, 31, 1132, 785, 280, 1638, 1338, 77, 36, 79, 284, 415, 1411, 44, 291, 5585, 710, 681, 785, 280, 330, 1959, 25, 284, 813, 44, 291, 5585, 710, 681, 785, 280, 330, 1126, 25, 284, 442, 5585, 203, 589, 5510, 1339, 26, 2067, 30, 4442, 711, 284, 2152, 280, 1605, 284, 5585, 280, 5053, 426, 950, 2830, 3667, 426, 7642, 330, 8239, 950, 2152, 30, 330, 681, 950, 330, 823, 6040, 284, 415, 2830, 3667, 1427, 505, 438, 646, 1665, 44, 291, 5585, 710, 3801, 785, 280, 2830, 3667, 1427, 505, 284, 436, 636, 328, 2830, 3667, 2665, 26927, 291, 436, 296, 328, 4442, 44, 324, 415, 296, 610, 636, 44, 400, 1623, 280, 18623, 26, 2067, 30, 636, 27, 400, 415, 5237, 32, 1648, 81, 1338, 333, 308, 37, 30, 711, 528, 415, 17787, 32, 297, 1959, 26, 1094, 711, 715, 2152, 32, 1689, 26, 7628, 4206, 26, 1094, 30, 2933, 490, 400, 813, 44, 528, 415, 17787, 32, 297, 1126, 26, 1094, 711, 715, 2152, 32, 1689, 26, 7628, 4206, 26, 1094, 30, 2933, 490, 284, 2152, 32, 3323, 26, 678, 47, 2989, 32, 1094, 18241, 463, 426, 2847, 284, 442, 5585, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 5, 0, 1, 1, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 3, 3, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 3, 3, 4, 4, 4, 4, 9, 10, 8, 9, 8, 10, 10, 11, 11, 10, 5, 5, 2, 2, 4, 4, 6, 5, 6, 5, 2, 2, 4, 4, 2, 2, 5, 7, 7, 4, 4, 5, 6, 6, 2, 2, 3, 5, 6, 6, 4, 4, 4, 3, 3, 3, 7, 9, 9, 6, 6, 7, 8, 8, 2, 2, 3, 3, 3, 3, 5, 7, 8, 7, 6, 6, 8, 8, 5, 5, 9, 10, 9, 10, 9, 4, 4, 7, 9, 9, 6, 6, 4, 4, 5, 7, 6, 7, 6, 5, 5, 8, 8, 10, 12, 12, 11, 12, 11, 6, 6, 8, 8, 10, 11, 10, 6, 6, 9, 8, 8, 9, 12, 11, 11, 10, 11, 9, 6, 6, 7, 9, 10, 10, 10, 8, 8, 10, 9, 9, 7, 7, 11, 13, 13, 13, 13, 10, 10, 12, 13, 13, 12, 12, 14, 13, 14, 13, 7, 7, 8, 8, 8, 12, 14, 14, 14, 14, 11, 11, 13, 15, 15, 16, 16, 15, 15, 17, 16, 17, 16, 6, 6, 7, 7, 7, 9, 11, 11, 13, 12, 14, 14, 14, 14, 7, 7, 7, 11, 11, 10, 10, 12, 14, 14, 14, 14, 12, 11, 8, 8, 9, 10, 10, 9, 9, 9, 14, 16, 16, 16, 16, 14, 13, 12, 12, 14, 13, 13, 15, 16, 15, 3, 3, 4, 4, 4, 8, 10, 10, 7, 7, 2, 2, 3, 5, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 6, 6, 8, 7, 8, 7, 2, 2, 3, 5, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 6, 6, 8, 7, 8, 7, 2, 2, 3, 3, 3, 3, 7, 9, 9, 6, 6, 8, 8, 3, 3, 4, 4, 4, 8, 10, 10, 7, 7, 9, 9, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 4, 4, 8, 8, 6, 7, 8, 8, 5, 8, 8, 6, 5, 5, 8, 8, 6, 8, 8, 2, 2, 3, 5, 6, 6, 4, 4, 4, 3, 3, 3, 7, 9, 9, 6, 6, 7, 8, 8, 2, 2, 3, 3, 3, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 7, 8, 8, 7, 7, 7, 10, 10, 12, 13, 12, 12, 12, 8, 8, 9, 11, 12, 12, 12, 10, 10, 12, 11, 11, 9, 9, 11, 13, 14, 14, 13, 14, 13, 11, 11, 15, 16, 15, 17, 17, 17, 18, 17, 17, 17, 9, 9, 10, 10, 10, 12, 14, 15, 15, 14, 15, 14, 12, 12, 16, 17, 16, 18, 18, 18, 19, 18, 18, 18, 2, 2, 5, 6, 5, 7, 6, 9, 8, 9, 9, 8, 10, 10, 2, 2, 3, 0 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 3, 3, 4, 4, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 4, 4, 0, 1, 2, 0, 0, 2, 2, 2, 4, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 4, 0, 1, 2, 0, 0, 2, 2, 2, 4, 4, 5, 5, 5, 5, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 1, 2, 0, 0, 3, 3, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 3, 3, 3, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 3, 2, 3, 3, 3, 4, 4, 4, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 3, 2, 3, 3, 3, 4, 4, 4, 1, 0, 1, 0, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 5, 5, 4, 4, 4, 0, 1, 2, 0, 0, 4, 4, 6, 0, 1, 2, 1, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 4, 4, 7, 0, 1, 2, 1, 7, 7, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 4, 4, 8, 8, 8, 8, 0, 1, 2, 0, 0, 1, 2, 8, 8, 4, 4, 4, 0, 1, 2, 0, 0, 1, 2, 4, 4, 9, 0, 5, 5, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 4, 4, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 1, 2, 4, 4, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 4, 4, 3, 3, 3, 3, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 4, 4, 5, 0 ]
[ 465, 2322, 203, 465, 7744, 203, 465, 316, 203, 1070, 1933, 1188, 28667, 203, 465, 11685, 203, 465, 10343, 203, 1070, 7138, 1188, 7138, 203, 1070, 3619, 22589, 8774, 32, 1707, 32, 41510, 1188, 3099, 619, 3099, 81, 5952, 203, 465, 14465, 203, 465, 25630, 203, 465, 485, 1473, 203, 465, 6436, 619, 2065, 203, 1070, 1519, 81, 8774, 1188, 1519, 203, 1070, 11913, 6803, 1188, 4401, 30, 5069, 30, 8174, 30, 3720, 30, 7819, 30, 892, 203, 1070, 11913, 6803, 32, 6460, 1188, 3846, 1076, 31420, 30, 3846, 1076, 20132, 30, 19526, 203, 465, 10308, 3798, 81, 16780, 619, 15471, 203, 1070, 10308, 3798, 81, 16780, 32, 8463, 1188, 9155, 1347, 30, 3720, 1074, 3728, 203, 1070, 10308, 3798, 32, 4073, 1188, 4082, 203, 1070, 10308, 3798, 32, 8463, 32, 5721, 81, 3365, 81, 4627, 1188, 15660, 3552, 1917, 203, 1070, 10308, 3798, 32, 2796, 81, 8774, 1188, 308, 3533, 2031, 1917, 30, 1995, 750, 1917, 30, 8479, 622, 81, 2796, 81, 1338, 27, 203, 1070, 10308, 3798, 32, 2796, 81, 4018, 1188, 308, 59, 4152, 30, 439, 17267, 599, 4815, 30, 11028, 30, 8479, 4575, 30, 11028, 21427, 30, 8479, 18695, 1104, 30, 9533, 81, 7295, 30, 8479, 622, 81, 2122, 81, 2386, 30, 8479, 622, 81, 2122, 81, 2386, 81, 1170, 81, 426, 27, 203, 1070, 10308, 3798, 32, 725, 81, 1819, 1188, 622, 81, 725, 203, 1070, 10308, 3798, 32, 6521, 88, 81, 2929, 1188, 9145, 5234, 1337, 885, 203, 1070, 4551, 81, 2929, 1188, 7406, 3033, 30, 622, 81, 3542, 81, 11170, 203, 1070, 337, 1747, 1962, 81, 2190, 1188, 3927, 6243, 8433, 203, 19991, 32, 6656, 2029, 463, 3617, 370, 10343, 32, 34034, 558, 5711, 27, 203, 4152, 21427, 32, 2018, 81, 2121, 463, 9441, 3798, 32, 12262, 683, 203, 589, 1769, 81, 34383, 26, 2543, 30, 1603, 711, 284, 2719, 280, 622, 81, 2122, 81, 2386, 81, 1170, 81, 426, 26, 291, 622, 81, 2796, 81, 1338, 26, 983, 4064, 761, 25566, 2544, 547, 2796, 81, 426, 27, 284, 415, 2719, 32, 2435, 81, 2190, 32, 10089, 346, 461, 766, 291, 1994, 32, 853, 848, 2719, 32, 2435, 81, 2190, 32, 1449, 81, 14097, 599, 81, 34383, 44, 291, 442, 1994, 32, 4275, 32, 1689, 463, 38970, 35308, 322, 7091, 786, 330, 9474, 330, 7846, 86, 676, 547, 25, 904, 9474, 2719, 32, 2435, 81, 2190, 32, 1449, 81, 14097, 599, 81, 34383, 27, 284, 813, 44, 291, 442, 2933, 203, 589, 1505, 81, 15710, 26, 2543, 30, 1603, 711, 284, 2719, 280, 622, 81, 2122, 81, 2386, 81, 1170, 81, 426, 26, 291, 622, 81, 2796, 81, 1338, 26, 983, 4064, 761, 25566, 2544, 547, 2796, 81, 426, 27, 284, 415, 2719, 32, 2435, 81, 2190, 32, 10089, 346, 461, 766, 291, 308, 2543, 32, 853, 333, 2719, 32, 2435, 81, 2190, 32, 887, 81, 14097, 599, 81, 15710, 556, 766, 291, 1994, 32, 853, 848, 2719, 32, 2435, 81, 2190, 32, 1449, 81, 14097, 599, 81, 15710, 711, 291, 442, 1994, 32, 4275, 32, 1689, 463, 16083, 438, 11127, 432, 322, 2080, 2155 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 4, 3, 4, 4, 3, 5, 5, 3, 4, 5, 5, 5, 3, 0, 4, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 12, 12, 13, 13, 11, 9, 8, 8, 8, 6, 2, 2, 3, 7, 8, 8, 8, 6, 7, 6, 4, 4, 5, 4, 6, 7, 5, 5, 7, 8, 8, 8, 6, 7, 7, 7, 7, 7, 7, 3, 3, 3, 5, 8, 9, 7, 8, 7, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 8, 8, 8, 10, 11, 11, 11, 9, 10, 10, 10, 10, 10, 10, 7, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 12, 12, 13, 13, 11, 9, 8, 8, 8, 6, 2, 2, 3, 7, 8, 8, 8, 6, 7, 6, 4, 4, 5, 4, 9, 8, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 6, 6, 7, 6, 8, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 5, 3, 3, 5, 8, 9, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 3, 3, 2, 2, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 0, 11, 11, 1, 1, 0, 12, 12, 0, 0, 12, 12, 0, 13, 13, 0, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 0, 14, 14, 0, 1, 2, 14, 14, 0, 0, 14, 14, 0, 0, 14, 14, 0, 15, 15, 0, 0, 0, 1, 1, 0, 16, 16, 0, 0, 0, 1, 2, 16, 16, 0, 16, 16, 0, 0, 0, 17, 17, 0, 1, 2, 17, 17, 0, 18, 18, 0, 1, 2, 1, 4, 4, 4, 4, 4, 18, 18, 0, 0, 0, 19, 19, 0, 1, 2, 2, 2, 19, 19, 0, 0, 0, 19, 19, 0, 0, 19, 19, 19, 0, 0, 0, 0, 19, 0, 20, 20, 0, 1, 2, 2, 2, 20, 20, 0, 0, 20, 20, 0, 0, 0, 20, 20, 20, 20, 20, 20, 20, 0, 20, 20, 20, 0, 20, 20, 0, 0, 20, 20, 20, 0, 0, 0, 0, 20, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 21, 21, 0, 1, 2, 2, 2, 21, 21, 0, 0, 0, 22, 22, 0, 1, 2, 2, 2, 2, 22, 22, 0, 0, 0, 0, 23, 23, 0, 0, 23, 23, 0, 23, 23, 0, 0, 0, 0, 0, 24, 24, 0, 0, 0, 0, 24, 24, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 27, 27, 1, 1, 2, 1, 2, 2, 2, 27, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 0, 28, 28, 1, 1, 2, 1, 2, 2, 2, 28, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 894, 81, 2846, 32, 858, 81, 2846, 1188, 35409, 1006, 5936, 203, 1070, 894, 81, 2846, 32, 1040, 1188, 319, 203, 1070, 894, 81, 2846, 32, 887, 21648, 1188, 3366, 521, 30, 7482, 81, 10322, 81, 3364, 203, 823, 9148, 271, 283, 1125, 4316, 1006, 26, 41377, 1006, 5936, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 17094, 1664, 16369, 291, 630, 32, 5522, 81, 6008, 81, 5074, 280, 2933, 291, 630, 32, 1516, 81, 5459, 280, 225, 35, 291, 630, 32, 1483, 24568, 280, 4479, 81, 601, 81, 1483, 24568, 346, 284, 665, 4705, 81, 4573, 26, 784, 711, 291, 630, 32, 5459, 280, 1605, 291, 630, 32, 297, 81, 4573, 81, 2998, 280, 3177, 291, 630, 32, 5459, 32, 1689, 26, 1366, 81, 1251, 26, 34, 30, 630, 32, 2184, 32, 30606, 30, 3037, 31, 2811, 392, 4825, 1216, 9786, 47, 35, 392, 4825, 1449, 26827, 1052, 47, 35, 34, 23821, 291, 630, 32, 23528, 12920, 280, 630, 32, 5459, 77, 34, 997, 371, 4573, 1338, 31510, 23528, 12920, 785, 284, 665, 1420, 81, 858, 26, 784, 711, 291, 8186, 23098, 81, 998, 280, 225, 43, 34, 291, 8186, 106, 500, 280, 1487, 81, 22704, 81, 303, 106, 500, 26, 784, 32, 23528, 12920, 30, 630, 32, 5459, 77, 34, 614, 8186, 23098, 81, 998, 27, 291, 1695, 81, 12920, 280, 630, 32, 23528, 12920, 28, 35, 34, 34, 4456, 6486, 3631, 280, 1605, 291, 2155, 81, 891, 280, 8186, 23098, 81, 998, 434, 225, 37, 291, 436, 595, 328, 2155, 26, 37, 711, 324, 6486, 3631, 32, 1689, 24562, 324, 1477, 81, 3585, 280, 595, 319, 2155, 81, 891, 324, 943, 81, 3585, 280, 1477, 81, 3585, 474, 2155, 81, 891, 324, 6486, 3631, 77, 91, 79, 280, 1487, 81, 7864, 81, 1028, 81, 7380, 81, 16242, 26, 784, 32, 5459, 77, 34, 614, 630, 32, 1483, 24568, 30, 8186, 106, 500, 77, 1366, 81, 3585, 44, 416, 81, 3585, 614, 308, 91, 29, 35, 4586, 1439, 81, 12920, 27, 291, 46943, 1052, 280, 630, 32, 5459, 77, 34, 997, 300, 359, 812, 26827, 1052, 26, 1815, 27, 291, 12998, 280, 428, 34, 30, 225, 34, 30, 225, 34, 79, 291, 436, 595, 328, 2155, 26, 37, 711, 324, 436, 594, 328, 6486, 3631, 77, 91, 2786, 400, 1201, 26, 92, 328, 46943, 1052, 27, 400, 12998, 77, 91, 79, 1454, 46943, 1052, 77, 92, 5795, 891, 785, 324, 1201, 26, 15335, 77, 91, 79, 848, 7482, 81, 10322, 81, 3364, 27, 4456, 630, 32, 5459, 77, 34, 997, 20621, 283, 1125, 6554, 26, 1483, 3631, 77, 34, 1674, 34, 614, 225, 34, 30, 629, 26, 37, 28, 1439, 81, 12920, 28, 1197, 521, 490, 291, 630, 32, 5459, 77, 34, 997, 20621, 283, 1125, 6554, 26, 1483, 3631, 77, 34, 1674, 35, 614, 429, 35, 87, 35, 39, 30, 225, 34, 27, 291, 630, 32, 5459, 77, 34, 997, 5536, 26, 35, 27, 291, 46943, 1052, 280, 630, 32, 5459, 77, 34, 997, 300, 359, 812, 26827, 1052, 346, 291, 1459, 440, 3271, 688, 41585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 10, 9, 9, 11, 12, 10, 11, 9, 9, 12, 12, 12, 10, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 8, 8, 6, 6, 11, 12, 10, 11, 10, 10, 10, 10, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 7, 7, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 10, 9, 10, 10, 8, 8, 10, 11, 9, 10, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 7, 8, 8, 8, 4, 4, 7, 6, 6, 4, 4, 7, 7, 6, 6, 8, 8, 8, 7, 7, 8, 4, 4, 5, 5, 5, 7, 8, 7, 5, 5, 10, 9, 10, 9, 6, 6, 9, 9, 8, 8, 9, 9, 10, 10, 6, 6, 9, 9, 8, 8, 10, 10, 9, 9, 10, 10, 6, 6, 10, 9, 10, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 13, 12, 13, 11, 12, 11, 10, 11, 12, 12, 10, 10, 12, 12, 11, 13, 13, 13, 12, 13, 13, 13, 11, 10, 14, 13, 14, 12, 12, 12, 12, 10, 4, 4, 7, 6, 6, 10, 11, 9, 10, 9, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 5, 5, 5, 7, 8, 7, 5, 5, 7, 7, 7, 9, 8, 9, 8, 7, 7, 10, 12, 11, 11, 12, 10, 8, 8, 11, 12, 11, 10, 10, 13, 12, 13, 12, 13, 13, 6, 6, 8, 11, 10, 11, 10, 9, 9, 10, 10, 10, 10, 8, 4, 4, 9, 10, 8, 9, 8, 8, 8, 8, 8, 7, 10, 10, 9, 10, 9, 9, 8, 7, 8, 7, 7, 9, 12, 11, 12, 12, 12, 10, 11, 11, 9, 4, 4, 9, 10, 8, 9, 8, 8, 8, 8, 8, 7, 10, 10, 9, 10, 9, 9, 8, 7, 9, 9, 9, 9, 7, 7, 8, 7, 4, 4, 9, 10, 8, 9, 8, 8, 7, 8, 7, 4, 4, 7, 6, 6, 10, 11, 9, 10, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 9, 9, 9 ]
[ 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 3, 2, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 3, 2, 3, 1, 5, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 5, 5, 5, 1, 1, 1, 5, 5, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 3, 2, 2, 1, 1, 0, 0, 5, 0, 0, 0, 2, 2, 2, 2, 5, 1, 0, 1, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 2, 2, 3, 2, 2, 5, 2, 4, 4, 8, 8, 8, 1, 1, 1, 8, 8, 0, 0, 0, 0, 3, 2, 3, 0, 0, 1, 0, 1, 1, 2, 1, 5, 5, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 5, 5, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 3, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 4, 4, 0, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5237, 203, 465, 316, 203, 465, 787, 1909, 203, 1070, 16539, 1188, 447, 1676, 30, 21925, 1304, 30, 1505, 81, 2024, 203, 589, 622, 81, 2142, 426, 81, 271, 81, 2888, 2262, 284, 4774, 280, 330, 2912, 1245, 429, 35, 769, 1643, 28664, 90, 23, 86, 14891, 284, 1688, 280, 1505, 81, 2024, 26, 615, 1909, 32, 2998, 26, 3515, 3427, 5460, 463, 3310, 31, 42, 1814, 7201, 346, 284, 3677, 3739, 2604, 426, 280, 1665, 30, 1665, 284, 345, 280, 316, 32, 1903, 9442, 29548, 78, 9501, 370, 1688, 27, 284, 415, 345, 44, 291, 3677, 81, 280, 1688, 2867, 95, 32, 1366, 17662, 35, 79, 284, 345, 280, 316, 32, 1903, 463, 2142, 44, 638, 40001, 9841, 2177, 370, 1688, 27, 284, 415, 345, 44, 291, 2604, 426, 280, 330, 3963, 7404, 474, 1688, 77, 95, 32, 1366, 19200, 1657, 463, 2142, 44, 330, 711, 345, 32, 416, 17662, 35, 79, 284, 415, 2604, 426, 44, 291, 442, 2604, 426, 284, 4348, 3677, 15359, 291, 442, 3677, 81, 284, 442, 1665, 203, 843, 280, 447, 1676, 4901, 2912, 370, 330, 1517, 370, 11363, 5981, 3308, 504, 370, 11363, 6586, 2188, 12532, 47, 18165, 30, 16154, 47, 18165, 27, 203, 9362, 30, 376, 530, 280, 2085, 32, 508, 48275, 346, 203, 325, 2085, 32, 601, 687, 863, 225, 34, 44, 284, 5237, 32, 4775, 26, 34, 27, 261, 203, 311, 28220, 30, 376, 4838, 30, 5372, 30, 20172, 280, 5518, 5518, 5518, 1605, 203, 22247, 30, 16980, 280, 225, 34, 30, 225, 34, 203, 1517, 280, 10440, 928, 77, 34, 614, 1628, 77, 35, 614, 1628, 77, 36, 19572, 436, 1628, 328, 12532, 32, 5460, 463, 3310, 31, 42, 1814, 2998, 4446, 7662, 203, 979, 376, 328, 2287, 44, 284, 415, 376, 77, 34, 79, 610, 40530, 461, 376, 77, 35, 79, 610, 5307, 950, 291, 415, 316, 32, 1903, 463, 4678, 4583, 544, 370, 376, 77, 36, 10794, 324, 5573, 280, 376, 77, 36, 997, 2998, 463, 330, 5594, 31, 35, 79, 291, 4348, 316, 32, 1903, 463, 1347, 5573, 370, 376, 77, 36, 10794, 23688, 5573, 280, 622, 81, 2142, 426, 81, 271, 81, 2888, 346, 291, 4348, 2069, 26, 270, 77, 36, 997, 7201, 922, 2998, 463, 1179, 2847, 610, 225, 35, 44, 324, 5573, 280, 376, 77, 36, 997, 7201, 346, 291, 813, 44, 324, 5573, 30, 6109, 280, 376, 77, 36, 997, 7201, 922, 2998, 463, 30865, 324, 415, 2069, 26, 4738, 32, 2998, 463, 41964, 610, 225, 35, 44, 400, 3097, 324, 813, 44, 400, 4451, 43340, 280, 330, 5608, 2524, 26, 4738, 32, 2998, 463, 330, 5594, 35, 19572, 400, 4451, 43340, 280, 4451, 43340, 32, 94, 7201, 463, 710, 547, 38848, 463, 26392, 400, 436, 4451, 328, 4451, 43340, 32, 2998, 12573, 330, 711, 528, 415, 330, 22247, 25, 328, 4451, 44, 715, 21960, 280, 629, 26, 507, 77, 1657, 463, 22247, 330, 711, 997, 7201, 1157, 528, 4348, 330, 36879, 25, 328, 4451, 44, 715, 16980, 280, 629, 26, 507, 77, 1657 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 10, 10, 10, 13, 13, 12, 13, 12, 13, 12, 9, 8, 10, 10, 10, 10, 7, 6, 2, 2, 6, 5, 6, 4, 4, 5, 5, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 6, 2, 2, 3, 3, 3, 3, 7, 6, 6, 7, 12, 11, 12, 11, 10, 7, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 3, 3, 3, 7, 6, 6, 9, 9, 7, 7, 8, 13, 12, 13, 12, 12, 12, 14, 14, 14, 12, 9, 12, 13, 12, 11, 8, 2, 2, 3, 4, 3, 3, 3, 5, 6, 3, 3, 4, 5, 4, 4, 6, 7, 2, 2, 3, 0, 3, 2, 2, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 4, 5, 6, 4, 4, 5, 6, 4, 0, 4, 3, 3, 4, 2, 2, 4, 5, 5, 4, 0, 1, 1, 3, 4, 4, 2, 2, 3, 1, 1, 1, 5, 6, 5, 6, 5, 0, 0, 4, 4, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 4, 3, 3, 2, 2, 4, 3, 3, 4, 0, 3, 2, 2, 6, 5, 6, 5, 4, 5, 6, 5, 4, 5, 7, 6, 3, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 7, 7, 6, 0, 1, 1, 1, 1, 1, 1, 1, 3, 6, 7, 6, 5, 5, 4, 4, 6, 7, 6, 5, 5, 7, 3, 3, 5, 7, 8, 7, 9, 9, 9, 9, 7, 8, 9, 8, 5, 5, 8, 8, 12, 13, 12, 12, 11, 13, 11, 10, 11, 9, 5, 5, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 9, 6, 6, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 9, 15, 14, 15, 14, 14, 13, 12, 11, 13, 13, 7, 7, 8, 6, 6, 6, 9, 9, 12, 13, 12, 12, 11, 5, 5, 6, 6, 6, 10, 10, 9, 9, 14, 15, 14, 14, 13, 12, 11, 13, 7, 7, 8, 11, 14, 13, 14, 13, 15, 9, 9, 10, 8, 8, 8, 8, 8, 9, 9, 9, 13, 12, 12, 16, 15, 14, 18, 17, 18, 17, 19, 17, 17, 16, 10, 10, 13, 12, 12, 17, 16, 17, 17, 16, 18, 16, 15, 14, 16, 10, 10, 11, 11, 11, 14, 13, 14, 13, 15, 13, 11, 11, 13, 16, 16, 14, 14, 13, 13, 13, 16, 16, 18, 22, 21, 24, 24, 26, 26, 24, 21, 21, 20, 13, 13, 14, 17, 17, 15, 15, 14, 14, 14, 17, 17, 19, 23, 22, 25 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 4, 4, 4, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 6, 6, 6, 6, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 4, 4, 7, 1, 7, 7, 7, 0, 1, 7, 7, 4, 1, 4, 4, 0, 1, 4, 4, 8, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 8, 8, 0, 2, 2, 1, 1, 2, 8, 8, 8, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 3, 1, 5, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 12, 12, 12, 12, 12, 12, 12, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 4, 0, 2, 1, 1, 1, 2, 1, 3, 2, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 5, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 5, 5, 5, 0, 0, 0, 2, 0, 2, 1, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 4, 1, 2, 1, 1, 4, 4, 4, 0, 0, 1, 0, 0, 0 ]
[ 1070, 996, 6172, 81, 4968, 1188, 2688, 6172, 7099, 203, 1763, 203, 9569, 280, 330, 88, 36, 38, 40, 38, 43, 39, 83, 41, 83, 37, 34, 2500, 41, 40, 36, 43, 1152, 25, 225, 588, 4448, 16433, 6272, 31299, 8191, 203, 5561, 280, 5561, 203, 17659, 280, 330, 35, 39, 34, 39, 42, 38, 39, 36, 1077, 11301, 12322, 308, 1104, 34316, 14545, 27, 9048, 102, 321, 48, 203, 46, 34922, 48, 35, 38, 34, 39, 43, 43, 38, 39, 43, 37, 377, 34922, 48, 203, 46, 44999, 772, 2513, 40850, 77, 878, 3212, 855, 44999, 48, 203, 46, 1777, 772, 2513, 40850, 77, 30702, 3212, 855, 1777, 48, 203, 46, 4090, 606, 48, 40, 34, 37, 42, 41, 34, 34, 41, 43, 43, 41, 42, 37, 35, 37, 35, 36, 36, 36, 377, 4090, 606, 48, 203, 377, 2593, 48, 203, 2993, 203, 21, 225, 17802, 6702, 996, 6172, 203, 30702, 280, 2688, 6172, 7099, 26, 1956, 47, 1956, 27, 203, 21, 38320, 42495, 9963, 39300, 203, 325, 996, 6172, 32, 1553, 81, 9569, 26, 9569, 47, 9569, 30, 1133, 270, 404, 47, 17659, 711, 284, 588, 38320, 7402, 31062, 9963, 22095, 308, 19234, 30, 225, 33137, 1272, 81, 893, 225, 8976, 10723, 27, 284, 996, 6172, 32, 2208, 81, 605, 26, 1548, 81, 878, 27, 284, 588, 225, 26532, 22095, 13999, 30, 1474, 29317, 2688, 6172, 1175, 300, 32, 681, 610, 330, 878, 950, 291, 415, 1474, 21190, 324, 1789, 280, 996, 6172, 32, 1986, 81, 878, 26, 103, 25, 20099, 683, 284, 4348, 1474, 32, 681, 610, 330, 893, 950, 291, 1789, 280, 996, 6172, 32, 1986, 81, 878, 26, 103, 25, 14752, 683, 284, 813, 44, 291, 1789, 280, 996, 6172, 32, 1986, 81, 878, 26, 103, 25, 13992, 11585, 683, 284, 588, 225, 25174, 16025, 6817, 1789, 225, 16699, 12322, 16025, 21350, 4808, 5170, 225, 26804, 31058, 16422, 31186, 1121, 8547, 9231, 25769, 29973, 5719, 8754, 12322, 1121, 16025, 6817, 26804, 9963, 16693, 284, 1459, 1789, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 1, 1, 3, 3, 0, 2, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 5, 7, 7, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 5, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 5, 6, 6, 6, 5, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 7, 7, 6, 7, 5, 1, 1, 1, 1, 4, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 6, 5, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 7, 7, 6, 9, 9, 9, 9, 9, 9, 9, 8, 10, 10, 10, 3, 3, 7, 7, 5, 5, 7, 7, 4, 4, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 3, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 7, 10, 10, 10, 10, 9, 10, 10, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 2, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 3, 5, 5, 5, 5, 3, 8, 8, 8, 8, 10, 11, 11, 0, 0, 0, 0, 1, 3, 16, 17, 17, 20, 20, 20, 0, 0, 0, 1, 2, 2, 2, 1, 23, 3, 25, 25, 26, 26, 26, 26, 26, 26, 26, 3, 3, 28, 29, 29, 29, 29, 3, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 3, 34, 34, 34, 36, 37, 0, 39, 1, 1, 1, 1, 1, 39, 2, 2, 39, 39, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 6, 6, 6, 6, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 444, 203, 1070, 638, 1040, 1188, 4909, 81, 271, 203, 823, 6012, 26, 1260, 444, 32, 620, 711, 284, 1156, 18645, 505, 280, 2726, 314, 370, 330, 1311, 370, 330, 2011, 370, 330, 7344, 370, 330, 268, 17530, 683, 284, 665, 7379, 26, 784, 30, 804, 47, 2521, 30, 1780, 47, 2521, 30, 3583, 47, 2521, 30, 5668, 47, 2521, 30, 4511, 26808, 47, 2521, 711, 291, 630, 32, 314, 280, 4909, 81, 271, 26, 314, 30, 629, 27, 291, 630, 32, 1311, 280, 4909, 81, 271, 26, 1311, 30, 596, 27, 291, 630, 32, 2011, 280, 4909, 81, 271, 26, 2011, 30, 629, 27, 291, 630, 32, 7344, 280, 4909, 81, 271, 26, 7344, 30, 596, 27, 291, 630, 32, 268, 17530, 280, 4909, 81, 271, 26, 268, 17530, 30, 1149, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 9, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 8, 8, 9, 9, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 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 ]
[ 465, 622, 2215, 203, 465, 12460, 203, 465, 5237, 203, 465, 2322, 203, 17143, 81, 3265, 280, 1044, 2993, 78, 203, 20, 21463, 563, 428, 18147, 21463, 27, 101, 2505, 203, 2993, 203, 589, 6886, 2262, 284, 1459, 330, 6772, 44, 904, 101, 429, 91, 313, 3607, 81, 8440, 288, 95, 20, 429, 97, 4870, 32, 288, 95, 9650, 92, 21025, 32, 754, 18262, 904, 2322, 32, 983, 32, 15705, 26, 3731, 32, 6118, 77, 34, 1130, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1596, 44, 291, 6410, 30, 2181, 280, 622, 2215, 32, 30226, 26, 3731, 32, 6118, 77, 35, 23751, 313, 4980, 44, 97, 44, 92, 9318, 3037, 4756, 392, 313, 1131, 12614, 313, 2024, 12614, 313, 1260, 347, 1130, 284, 2940, 622, 2215, 32, 936, 2215, 924, 44, 291, 6886, 346, 291, 5237, 32, 4775, 26, 36, 27, 284, 328, 5607, 280, 3330, 284, 963, 426, 280, 3330, 284, 2361, 426, 280, 3330, 284, 436, 337, 30, 312, 328, 6410, 44, 291, 415, 337, 328, 2884, 31, 90, 392, 7915, 4756, 10280, 324, 6886, 346, 324, 5237, 32, 4775, 346, 291, 4348, 337, 328, 2884, 31, 91, 392, 7915, 1131, 10280, 324, 328, 5607, 280, 312, 291, 4348, 337, 328, 2884, 31, 97, 392, 7915, 2024, 10280, 324, 963, 426, 280, 312, 291, 4348, 337, 328, 2884, 31, 92, 392, 7915, 1260, 10280, 324, 2361, 426, 280, 312, 284, 415, 328, 5607, 610, 3330, 556, 963, 426, 610, 34863, 291, 6886, 346, 291, 5237, 32, 4775, 26, 36, 27, 284, 28388, 280, 2156, 26, 541, 426, 30, 313, 12108, 657, 284, 8001, 280, 12460, 32, 13285, 26, 266, 5607, 27, 284, 8001, 32, 3323, 346, 284, 3380, 280, 225, 34, 284, 21025, 280, 1605, 284, 436, 4870, 328, 8001, 44, 291, 803, 891, 280, 2322, 32, 983, 32, 371, 891, 26, 3607, 27, 291, 21025, 32, 1689, 26, 2999, 27, 291, 3380, 1454, 803, 891, 291, 1459, 4870, 30, 803, 891, 291, 44705, 280, 2156, 26, 3607, 30, 313, 4506, 657, 291, 3112, 280, 44705, 32, 850, 346, 291, 28388, 32, 1821, 26, 2668, 27, 291, 44705, 32, 2679, 346, 284, 28388, 32, 2679, 346, 284, 2361, 81, 466, 280, 48955, 81, 3265, 904, 301, 284, 313, 21463, 20, 499, 3003, 4939, 2524, 14141, 23, 86, 20, 904, 337, 436, 337, 328, 21025, 1130, 284, 320, 284, 1459, 2361, 81, 466, 284, 415, 2361, 426, 44, 291, 2361, 761, 280, 2156, 26, 1260, 426, 30, 313, 105, 657, 291, 2361, 761, 32, 1821, 26, 1260, 81, 466, 27, 291, 2361, 761, 32, 2679, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 7, 8, 6, 7, 6, 9, 8, 9, 7, 8, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 3, 3, 7, 7, 6, 6, 9, 8, 9, 8, 11, 10, 11, 9, 11, 10, 8, 10, 10, 10, 10, 10, 10, 8, 11, 11, 9, 11, 11, 9, 11, 11, 9, 11, 11, 9, 3, 3, 4, 6, 5, 6, 6, 6, 4, 4, 4, 8, 5, 5, 8, 9, 8, 9, 8, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 6, 6, 9, 9, 9, 7, 9, 9, 5, 5, 9, 6, 6, 9, 10, 9, 5, 5, 6, 7, 7, 10, 10, 10, 8, 10, 10, 6, 6, 10, 9, 9, 5, 5, 6, 7, 7, 10, 10, 10, 8, 10, 10, 6, 6, 10, 9, 9, 5, 5, 6, 7, 7, 10, 10, 10, 8, 10, 10, 6, 6, 10, 9, 9, 2, 2, 3, 6, 5, 5, 4, 4, 6, 5, 5, 3, 3, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 4, 4, 6, 7, 7, 6, 6, 8, 8, 2, 2, 4, 4, 6, 7, 6, 7, 7, 6, 2, 2, 5, 6, 5, 2, 2, 4, 4, 5, 2, 2, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 7, 6, 6, 9, 10, 8, 9, 9, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 6, 6, 7, 4, 4, 5, 5, 5, 6, 4, 4, 6, 6, 8, 9, 8, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 2, 2, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 6, 6, 9, 9, 7, 7, 11, 10, 9, 13, 13, 13, 11, 11, 10, 11, 11, 11, 10, 6, 6, 2, 2, 3, 4, 4, 2, 2, 3, 4, 3, 3, 3, 7, 6, 6, 8, 9, 9, 8, 8, 10, 10, 4, 4, 8, 7, 8, 7, 8, 8, 8, 7, 4, 4, 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 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 2, 5, 5, 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, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 5, 1, 1, 5, 1, 1, 5, 0, 0, 3, 0, 1, 2, 2, 2, 3, 3, 3, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 4, 1, 1, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 4, 1, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 2, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 6, 1, 1, 1, 1, 2, 2, 1, 2, 6, 6, 0, 0, 0, 3, 3, 5, 0, 0, 0, 1, 1, 0, 2, 2, 5, 5, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 0, 0, 2, 3, 3, 0, 0, 3, 3, 11, 11, 11, 11, 11, 11, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 5, 5, 0, 0, 2, 5, 5, 3, 3, 3, 3, 5, 5, 0, 0, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 1, 5, 5, 0, 2, 1, 1, 1, 5, 5, 0, 2, 1, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 3, 14, 1, 1, 3, 3, 15, 1, 15, 15, 15, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 464, 505, 280, 428, 284, 313, 11049, 24723, 974, 392, 313, 24723, 974, 392, 3701, 313, 4765, 270, 957, 392, 313, 4765, 86, 1433, 392, 6019, 284, 313, 4765, 1433, 392, 12740, 284, 313, 11779, 81, 3459, 392, 313, 371, 1433, 4254, 392, 2407, 284, 313, 1433, 1515, 392, 313, 371, 1433, 1515, 20, 664, 1481, 203, 465, 2322, 619, 617, 500, 203, 465, 19493, 619, 617, 12864, 203, 1070, 3995, 1188, 9500, 619, 617, 6096, 203, 325, 617, 500, 32, 426, 610, 330, 4229, 950, 284, 1188, 11478, 32, 5637, 619, 617, 5637, 284, 1188, 11478, 32, 27811, 619, 617, 27811, 203, 1270, 44, 284, 1188, 296, 7858, 94, 619, 617, 41748, 203, 7343, 29986, 44, 284, 665, 617, 470, 81, 6749, 2493, 26, 2995, 711, 291, 3097, 203, 1824, 44, 284, 665, 617, 470, 81, 6749, 2493, 26, 2995, 711, 291, 1596, 44, 324, 5736, 280, 617, 41748, 32, 41748, 26, 2995, 30, 617, 41748, 32, 56, 81, 2788, 6344, 30, 225, 34, 27, 291, 2940, 45338, 44, 324, 3097, 291, 813, 44, 324, 5736, 6592, 617, 41748, 32, 6344, 81, 11391, 14769, 324, 617, 41748, 32, 41748, 26, 2995, 30, 617, 41748, 32, 56, 81, 2695, 6344, 30, 5736, 27, 203, 1270, 44, 284, 1188, 3664, 619, 617, 3426, 203, 7343, 29986, 44, 284, 1188, 11638, 81, 3426, 619, 617, 3426, 203, 81, 14939, 81, 809, 280, 617, 3426, 32, 14939, 81, 809, 203, 81, 878, 81, 1676, 4545, 280, 617, 500, 32, 65, 81, 12733, 2591, 523, 617, 500, 32, 65, 81, 3412, 722, 523, 617, 500, 32, 65, 81, 30317, 203, 325, 19326, 2176, 500, 30, 330, 65, 81, 2576, 521, 3184, 780, 7831, 284, 617, 878, 81, 1676, 4545, 6592, 617, 500, 32, 65, 81, 2576, 521, 3184, 780, 203, 325, 19326, 2176, 500, 30, 330, 65, 81, 2576, 38037, 7831, 284, 617, 878, 81, 1676, 4545, 6592, 617, 500, 32, 65, 81, 2576, 38037, 203, 81, 1771, 81, 1676, 4545, 280, 617, 878, 81, 1676, 4545, 203, 325, 19326, 2176, 500, 30, 330, 65, 81, 17905, 7831, 284, 617, 1771, 81, 1676, 4545, 6592, 617, 500, 32, 65, 81, 17905, 203, 325, 19326, 2176, 500, 30, 330, 11779, 81, 3459, 7831, 284, 39077, 81, 3459, 280, 617, 500, 32, 11779, 81, 3459, 203, 1824, 44, 284, 39077, 81, 3459, 280, 225, 35, 34, 34, 34, 34, 203, 2387, 280, 313, 2868, 20, 203, 1433, 1515, 280, 1665, 203, 81, 8232, 81, 809, 280, 617, 14939, 81, 809, 346, 203, 325, 19326, 2176, 500, 30, 313, 94, 4597, 10280, 284, 617, 4597, 280, 617, 500, 32, 94, 4597, 203, 12106, 19326, 2176, 500, 30, 313, 4597, 10280, 284, 617, 4597, 280, 617, 500, 32, 4597, 203, 1824, 44, 284, 665, 617, 4597, 26, 3359, 711, 291, 1596, 44, 324, 296, 280, 2156, 26, 3359, 27, 291, 2940, 45338, 44, 324, 3636, 617, 500, 32, 731, 291, 296, 32, 2679, 346, 203, 589, 617, 4658, 26, 3359, 711, 284, 1596, 44, 291, 617, 4597, 26, 3359, 27, 284, 2940, 617, 500, 32, 731, 44, 291, 442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 3, 0, 1, 1, 2, 2, 3, 0, 1, 1, 1, 1, 2, 2, 3, 0, 1, 1, 4, 3, 4, 2, 2, 4, 4, 1, 1, 3, 5, 6, 4, 4, 5, 2, 2, 3, 5, 6, 4, 4, 5, 0, 1, 1, 1, 1, 3, 6, 6, 4, 4, 5, 1, 2, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 1, 2, 2, 2, 2, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 6, 6, 9, 9, 12, 11, 12, 11, 12, 11, 11, 13, 12, 13, 13, 13, 13, 11, 11, 12, 11, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 10, 10, 12, 11, 12, 12, 12, 12, 8, 8, 12, 11, 12, 11, 12, 11, 11, 13, 12, 13, 13, 13, 13, 11, 11, 11, 0, 1, 1, 1, 1, 3, 4, 4, 5, 1, 2, 2, 2, 2, 2, 4, 7, 7, 5, 5, 6, 0, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 6, 5, 6, 6, 6, 6, 4, 4, 6, 5, 6, 6, 6, 6, 3, 3, 5, 4, 5, 5, 5, 0, 1, 1, 3, 4, 3, 3, 5, 5, 5, 5, 5, 5, 5, 1, 1, 5, 5, 5, 5, 4, 4, 6, 5, 6, 6, 6, 6, 6, 6, 0, 1, 1, 3, 4, 3, 3, 5, 5, 5, 5, 5, 1, 1, 5, 5, 5, 5, 4, 4, 6, 5, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 4, 3, 3, 5, 5, 5, 5, 1, 1, 5, 5, 5, 5, 4, 4, 6, 5, 6, 6, 6, 0, 1, 1, 3, 4, 3, 3, 5, 5, 5, 5, 1, 1, 5, 5, 4, 4, 6, 5, 6, 6, 6, 1, 2, 2, 2, 2, 6, 6, 5, 5, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 4, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 1, 1, 3, 4, 3, 3, 5, 5, 5, 1, 1, 5, 4, 4, 6, 5, 6, 6, 1, 2, 2, 4, 5, 4, 4, 6, 6, 2, 2, 6, 5, 5, 7, 6, 7, 1, 2, 2, 2, 2, 4, 5, 5, 6, 5, 4, 4, 6, 6, 6, 9, 9, 11, 12, 11, 6, 6, 7, 7, 7, 7, 9, 11, 10, 11, 5, 5, 8, 9, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 3, 7, 7, 8, 7, 3, 3, 4, 6, 5, 6, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 3, 3, 3, 3, 3, 3, 2, 0, 4, 4, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 2, 3, 3, 1, 0, 2, 1, 1, 2, 0, 5, 5, 5, 5, 0, 0, 0, 1, 1, 2, 5, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 5, 4, 4, 4, 4, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 2, 1, 1, 5, 1, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 2, 1, 1, 1, 0, 6, 6, 6, 6, 0, 1, 1, 2, 6, 3, 3, 3, 3, 3, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 12, 12, 1, 1, 1, 1, 1, 1, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 13, 13, 1, 1, 1, 1, 1, 1, 1, 2, 13, 13, 0, 0, 0, 0, 0, 2, 2, 2, 2, 13, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 17, 17, 1, 1, 1, 1, 1, 1, 2, 17, 17, 0, 0, 0, 0, 2, 2, 2, 17, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 17, 5, 5, 5, 5, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 1, 2, 4, 4, 0, 2, 1, 0, 18, 18, 1, 2, 1, 2, 18, 18, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 0, 1, 2, 3, 3, 3 ]
[ 465, 2322, 32, 983, 203, 465, 5237, 203, 1070, 2919, 2208, 1188, 3659, 2825, 203, 1270, 499, 284, 1188, 298, 2209, 362, 203, 7343, 499, 284, 5237, 32, 4775, 26, 313, 731, 499, 1348, 3261, 5652, 330, 978, 18861, 25, 2297, 32, 5294, 2443, 298, 2209, 362, 2670, 3974, 3107, 829, 203, 589, 7450, 26, 2926, 30, 623, 81, 43683, 30, 4870, 30, 636, 8063, 284, 36116, 2901, 280, 3330, 2850, 284, 29726, 3210, 225, 280, 1605, 2850, 284, 2401, 261, 280, 225, 34, 3389, 284, 736, 1516, 280, 225, 34, 3389, 284, 415, 2322, 32, 983, 32, 4658, 26, 4870, 8063, 291, 636, 261, 280, 2322, 32, 983, 32, 15705, 26, 4870, 829, 291, 36116, 466, 280, 2156, 26, 4870, 6804, 850, 922, 2998, 9442, 96, 683, 284, 813, 44, 291, 36116, 466, 280, 4870, 32, 2998, 9442, 96, 683, 284, 436, 1628, 328, 36116, 466, 44, 291, 415, 1628, 77, 34, 44, 38, 79, 863, 330, 17214, 25, 556, 1628, 77, 35, 36, 44, 35, 40, 79, 863, 313, 10556, 10685, 324, 4036, 291, 415, 623, 81, 43683, 44, 2071, 324, 736, 1516, 225, 280, 629, 26, 928, 77, 36, 36, 44, 36, 40, 1130, 291, 813, 44, 9316, 324, 736, 1516, 1454, 225, 35, 291, 36116, 2901, 1454, 1628, 77, 34, 44, 36, 36, 79, 474, 308, 6611, 38, 86, 25, 904, 736, 1516, 829, 474, 1628, 77, 36, 40, 10056, 474, 2706, 96, 20, 291, 415, 2401, 474, 225, 35, 610, 736, 1516, 44, 324, 29726, 3210, 32, 1689, 26, 308, 596, 26, 2135, 27, 474, 2430, 4019, 392, 596, 26, 575, 1516, 27, 474, 2430, 4019, 20, 829, 829, 291, 2401, 280, 736, 1516, 284, 298, 2209, 362, 81, 6118, 280, 428, 330, 978, 18861, 370, 6470, 99, 25, 1481, 284, 298, 2209, 362, 32, 11333, 81, 10574, 299, 346, 284, 298, 2209, 362, 32, 3515, 32, 850, 81, 23911, 466, 26, 36116, 2901, 30, 636, 829, 3701, 298, 2209, 362, 32, 3515, 32, 5828, 26, 330, 47020, 25, 829, 284, 415, 2926, 610, 313, 27292, 20, 499, 291, 436, 34333, 328, 29726, 3210, 499, 324, 298, 2209, 362, 32, 3515, 32, 31532, 26, 34333, 77, 34, 614, 34333, 77, 35, 79, 829, 284, 813, 499, 291, 298, 2209, 362, 32, 3515, 32, 470, 26, 313, 3718, 452, 267, 81, 5707, 392, 225, 35, 829, 284, 298, 2209, 362, 32, 3515, 32, 2245, 26, 2926, 829, 284, 298, 2209, 362, 32, 3515, 32, 30697, 346, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 665, 2919, 346, 499, 291, 6886, 225, 280, 5461, 15446, 428, 2184, 79, 447, 1996, 81, 3539, 20, 291, 343, 10325, 385, 280, 308, 313, 4311, 322, 5193, 432, 322, 225, 447, 1996, 81, 3539, 810, 10556, 1751, 12924, 1471, 4354, 63, 1752, 3107, 4511, 313, 4997, 63, 1752, 5652, 372, 526, 6713, 3107, 829, 291, 4118, 280, 3659, 2825, 26, 6886, 280, 6886, 30, 3048, 280, 343, 10325, 385, 829, 291, 4118, 32, 669, 81, 1762, 26, 4825, 85, 392, 7915, 3718, 452, 267, 392, 3466, 280, 313, 2816, 392, 1244 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 1, 1, 3, 5, 5, 1, 2, 2, 2, 2, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 2, 2, 2, 5, 4, 4, 4, 2, 2, 2, 4, 4, 4, 5, 2, 2, 2, 5, 4, 4, 5, 2, 2, 2, 3, 6, 7, 5, 6, 5, 5, 5, 3, 3, 6, 6, 6, 9, 10, 8, 9, 8, 8, 8, 4, 4, 7, 6, 6, 12, 12, 12, 11, 10, 9, 8, 11, 10, 3, 3, 4, 4, 4, 8, 7, 7, 9, 10, 9, 12, 11, 2, 2, 3, 3, 3, 4, 3, 3, 3, 5, 8, 10, 9, 10, 8, 7, 7, 9, 9, 6, 6, 8, 10, 10, 9, 10, 10, 8, 7, 7, 9, 9, 5, 5, 4, 4, 5, 6, 6, 5, 5, 5, 5, 9, 8, 8, 8, 10, 12, 11, 13, 13, 12, 13, 13, 11, 5, 5, 6, 6, 6, 6, 10, 9, 9, 10, 4, 4, 7, 6, 6, 10, 12, 11, 12, 12, 10, 9, 9, 10, 13, 13, 13, 11, 11, 12, 10, 8, 8, 9, 11, 11, 10, 7, 7, 10, 9, 4, 4, 5, 7, 7, 8, 6, 6, 7, 5, 5, 5, 10, 9, 10, 9, 9, 10, 13, 14, 13, 11, 11, 13, 13, 10, 13, 14, 14, 13, 11, 11, 13, 13, 10, 9, 4, 4, 6, 6, 7, 2, 2, 5, 5, 5, 5, 4, 4, 5, 7, 7, 7, 5, 7, 7, 5, 2, 2, 6, 6, 5, 6, 6, 6, 6, 5, 2, 2, 7, 7, 6, 7, 5, 6, 6, 6, 6, 5, 5, 6, 5, 5, 5, 2, 2, 7, 7, 6, 7, 5, 6, 5, 5, 7, 7, 5, 2, 2, 3, 4, 4, 6, 6, 3, 3, 3, 5, 5, 5, 6, 5, 5, 5, 11, 11, 10, 11, 9, 10, 9, 9, 10, 11, 10, 9, 10, 11, 10, 9, 3, 3, 4, 4, 4, 10, 10, 9, 10, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 8, 9, 8, 2, 2, 7, 7, 6, 7, 5, 6, 5, 5, 5, 2, 2, 7, 7, 6, 7, 5, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 4, 3, 3, 3, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 7, 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, 7, 4, 4, 6, 6, 8, 8, 8, 9, 9, 8, 8, 9, 9, 10, 10, 8, 4, 4, 7, 8, 8, 8, 7, 7, 9, 9, 7, 9, 9, 9, 9, 7, 8, 8, 10, 10, 7 ]
[ 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 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, 0, 4, 4, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 2, 4, 4, 4, 0, 0, 0, 2, 4, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 1, 0, 2, 4, 4, 5, 5, 5, 3, 5, 5, 5, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 4, 0, 0, 0, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 5, 5, 3, 0, 0, 2, 1, 1, 2, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1, 1, 5, 5, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 4, 4, 10, 1, 1, 1, 2, 10, 10, 10, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 3, 2, 3, 1, 10, 10, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 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, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 5, 1, 2, 1 ]
[ 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 34856, 32, 14632, 1188, 10582, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 43837, 6767, 2348, 26, 9211, 32, 1761, 2905, 2348, 711, 284, 665, 4020, 81, 32373, 26, 784, 30, 4020, 30, 2761, 81, 4642, 711, 291, 5776, 32, 2811, 463, 37290, 544, 24144, 32019, 436, 4020, 904, 101, 25, 904, 4020, 27, 291, 3304, 81, 20840, 280, 4020, 32, 25241, 32, 371, 463, 23724, 81, 20840, 370, 11544, 291, 5776, 32, 2811, 463, 8589, 32019, 44, 904, 101, 25, 904, 3304, 81, 20840, 27, 291, 1374, 280, 2761, 81, 4642, 32, 371, 463, 1357, 81, 2285, 370, 12797, 291, 5576, 280, 1374, 32, 371, 463, 2386, 81, 4642, 370, 12797, 291, 24144, 81, 5634, 280, 5576, 32, 371, 463, 23724, 81, 5634, 683, 291, 415, 24144, 81, 5634, 44, 324, 442, 24144, 81, 5634, 328, 3304, 81, 20840, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 7, 4, 4, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 9, 8, 8, 9, 9, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 6, 6, 6, 0, 0, 0, 1, 1, 2, 2, 4, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 594, 17321, 36, 1188, 5166, 203, 1070, 594, 17321, 36, 32, 10199, 1188, 4402, 4815, 203, 1070, 594, 17321, 36, 1114, 8524, 1188, 802, 81, 2516, 203, 823, 35451, 1227, 4815, 26, 1227, 4815, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4706, 711, 291, 4402, 4815, 3667, 1664, 3207, 784, 30, 4706, 30, 4145, 410, 32402, 10154, 7686, 4145, 410, 32402, 22639, 291, 630, 32, 311, 26549, 81, 35089, 280, 739, 346, 284, 665, 2866, 26, 784, 30, 816, 711, 284, 665, 5083, 81, 22457, 26, 784, 30, 3118, 711, 291, 630, 32, 311, 26549, 81, 35089, 32, 1877, 26, 1744, 32, 35089, 32, 311, 26549, 27, 203, 589, 2290, 81, 311, 26549, 81, 9578, 26, 633, 711, 284, 45298, 280, 35451, 1227, 4815, 26, 633, 32, 9236, 27, 284, 45298, 32, 8275, 26, 633, 27, 284, 442, 45298, 32, 311, 26549, 81, 35089, 203, 589, 2290, 81, 36307, 81, 8881, 26, 633, 711, 284, 436, 1541, 328, 10020, 32, 1809, 81, 464, 1162, 5459, 32, 2725, 1494, 30, 5166, 32, 1792, 4196, 30, 5166, 32, 4196, 30, 4985, 5166, 32, 8509, 8531, 291, 415, 646, 6937, 26, 1251, 32, 2387, 30, 5166, 32, 2775, 711, 324, 415, 6937, 26, 1251, 32, 2387, 30, 308, 5459, 32, 8924, 30, 5166, 32, 720, 8531, 400, 436, 3079, 81, 426, 328, 1541, 32, 2387, 32, 3028, 44, 528, 415, 6937, 26, 2387, 81, 426, 30, 5166, 32, 2775, 711, 715, 415, 6937, 26, 2387, 81, 426, 32, 853, 30, 802, 81, 2516, 711, 1014, 6761, 3079, 81, 426, 32, 853, 528, 813, 44, 715, 6761, 1665, 324, 813, 44, 400, 6761, 1665, 324, 4036, 291, 415, 6937, 26, 1251, 32, 2387, 32, 853, 30, 802, 81, 2516, 711, 324, 6761, 1541, 32, 2387, 32, 853, 291, 4348, 6937, 26, 1251, 30, 5166, 32, 8509, 27, 461, 766, 1802, 6937, 26, 1251, 32, 2387, 32, 853, 30, 308, 7288, 30, 1149, 8531, 324, 436, 3079, 81, 426, 328, 1541, 32, 2387, 32, 853, 44, 400, 415, 6937, 26, 2387, 81, 426, 30, 802, 81, 2516, 711, 528, 6761, 3079, 81, 426, 291, 813, 44, 324, 6761, 1665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 7, 9, 9, 9, 7, 7, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 6, 6, 8, 2, 2, 3, 4, 5, 4, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 9, 9, 9, 7, 8, 7, 10, 9, 10, 8, 9, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 8, 7, 8, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 4, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 6, 6, 6, 5, 8, 7, 8, 8, 6, 6, 7, 8, 8, 6, 6, 7, 8, 6, 6, 6, 7, 8, 6, 3, 3, 5, 6, 8, 10, 9, 10, 8, 8, 9, 10, 8, 5, 5, 7, 9, 11, 10, 11, 9, 9, 12, 11, 12, 10, 10, 11, 12, 10, 7, 7, 9, 10, 10, 9, 9, 11, 12, 10, 11, 9, 9, 9, 11, 13, 14, 14, 14, 13, 13, 14, 15, 13, 11, 11, 13, 15, 17, 17, 17, 16, 17, 15, 15, 16, 16, 15, 13, 13, 16, 18, 18, 17, 18, 11, 11, 12, 12, 12, 15, 7, 7, 8, 8, 8, 11, 6, 6, 4, 4, 5, 7, 10, 9, 10, 8, 9, 7, 7, 8, 8, 7, 5, 5, 8, 10, 11, 9, 10, 5, 5, 6, 9, 10, 9, 9, 10, 11, 9, 7, 7, 8, 7, 9, 12, 11, 12, 10, 11, 9, 9, 11, 10, 10, 10, 6, 6, 8, 9, 9, 8, 8, 10, 11, 9, 10, 8, 8, 8, 10, 12, 13, 13, 13, 12, 12, 13, 13, 12, 10, 10, 13, 14, 14, 5, 5, 6, 6, 6, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 2, 2, 2, 2, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 1, 5, 2, 1, 1, 1, 7, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 3, 3, 3, 2, 3, 0, 0, 0, 1, 1, 0, 0, 0, 2, 3, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 3, 3, 5, 5, 1, 1, 0, 0, 2, 1, 2, 1, 1, 3, 3, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 4, 1, 1, 1, 1, 3, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 3, 3, 3, 4, 4, 0, 1, 1, 0, 0, 0, 2, 3, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 30, 2322, 203, 9081, 280, 2107, 26275, 32, 407, 32, 4846, 431, 542, 370, 330, 26275, 32, 407, 32, 1409, 28998, 370, 330, 26275, 32, 407, 32, 1146, 26275, 370, 330, 26275, 32, 407, 32, 10425, 370, 330, 26275, 32, 407, 32, 14550, 785, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 2250, 280, 1044, 25, 83, 8527, 31, 7873, 2074, 25, 203, 11794, 280, 1044, 25, 36, 34, 35, 36, 30, 322, 14662, 25, 203, 1648, 280, 330, 35, 32, 34, 25, 203, 3779, 280, 330, 35, 32, 34, 25, 203, 10444, 81, 15719, 280, 2107, 81, 1832, 785, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 916, 81, 4661, 280, 330, 1536, 25, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 4756, 81, 15705, 280, 330, 1427, 25, 203, 24189, 81, 17274, 280, 428, 334, 2726, 1055, 370, 330, 2250, 32, 8581, 370, 1044, 25, 2250, 12217, 370, 664, 1044, 25, 24258, 370, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 428, 284, 2726, 1055, 370, 330, 83, 31, 11025, 31, 725, 370, 1044, 20, 83, 31, 11025, 31, 725, 1182, 12217, 392, 275, 428, 103, 1330, 292, 14662, 2188, 225, 35, 27, 203, 79, 203, 1146, 26275, 81, 9387, 280, 5053, 525, 555, 2180, 32, 2958, 32, 1088, 33, 950, 1665, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 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, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 7, 7, 7, 7, 7, 4, 5, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 9, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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 ]
[ 823, 29489, 7167, 26, 2665, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 17094, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 3667, 2665, 505, 280, 630, 284, 665, 1156, 32110, 3207, 784, 30, 1623, 711, 291, 1596, 44, 324, 442, 2599, 17094, 371, 4890, 3207, 1094, 27, 291, 2940, 29316, 44, 324, 442, 1665, 284, 665, 1156, 33644, 3207, 784, 30, 1623, 711, 291, 1596, 44, 324, 442, 2599, 17094, 33644, 3207, 1094, 27, 291, 2940, 25085, 44, 324, 442, 1665, 203, 86, 280, 29489, 7167, 203, 4573, 280, 343, 1371, 203, 1748, 203, 3626, 280, 343, 1371, 284, 330, 19540, 81, 462, 81, 3368, 950, 225, 35, 36, 34, 34, 34, 34, 30, 264, 203, 1748, 203, 3626, 32, 19540, 81, 462, 81, 11302, 280, 4181, 32, 19540, 81, 462, 81, 3368, 517, 225, 36, 38, 203, 5558, 280, 343, 1371, 203, 1748, 203, 5558, 32, 16607, 280, 343, 1371, 284, 330, 16607, 81, 29278, 81, 462, 81, 46642, 717, 81, 5567, 708, 950, 225, 34, 32, 35, 30, 284, 330, 1449, 81, 16607, 81, 21110, 81, 462, 81, 2649, 950, 225, 36, 34, 30, 203, 1748, 203, 5558, 32, 1786, 81, 21279, 280, 343, 1371, 284, 330, 1793, 81, 1132, 950, 2933, 30, 203, 1748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 11, 10, 10, 10, 10, 9, 5, 5, 6, 6, 6, 6, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 7, 11, 10, 10, 10, 9, 5, 5, 6, 6, 6, 6, 8, 0, 3, 2, 2, 3, 0, 3, 2, 2, 4, 5, 5, 0, 3, 2, 2, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 0, 4, 3, 4, 4, 4, 4, 4, 2, 2, 4, 5, 5, 5, 5, 5, 3, 3, 4, 4, 0, 3, 2, 2, 4, 5, 5, 0, 4, 3, 4, 2, 2, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 0, 4, 3, 4, 4, 4, 2, 2, 4, 5, 5, 8, 8, 8, 8, 6, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 3, 3, 3, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 7744, 1188, 39731, 203, 465, 5741, 203, 1070, 3619, 86, 8335, 81, 3483, 32, 1286, 1188, 1244, 81, 27061, 619, 37204, 203, 1070, 3619, 86, 8335, 81, 3483, 32, 1286, 32, 3483, 81, 10615, 1188, 358, 99, 1078, 30, 18666, 620, 203, 1070, 3619, 86, 8335, 81, 3483, 32, 1160, 1188, 2747, 619, 9661, 203, 589, 617, 48060, 81, 9699, 81, 966, 26, 966, 711, 284, 442, 428, 1069, 32, 5494, 81, 1746, 26, 966, 471, 9661, 32, 5494, 81, 417, 26, 966, 471, 324, 9661, 32, 5494, 81, 1873, 26, 966, 471, 9661, 32, 5494, 81, 990, 26, 966, 471, 324, 9661, 32, 5494, 81, 1746, 81, 1873, 26, 966, 471, 9661, 32, 5494, 81, 1746, 81, 990, 26, 966, 471, 324, 9661, 32, 5494, 81, 417, 81, 1873, 26, 966, 471, 9661, 32, 5494, 81, 417, 81, 990, 26, 966, 2177, 203, 5807, 81, 3459, 81, 74, 280, 225, 35, 34, 203, 5807, 81, 3459, 81, 75, 280, 225, 41, 203, 823, 18666, 26, 1473, 711, 284, 4082, 280, 5741, 32, 10579, 4064, 426, 8223, 284, 665, 1156, 1664, 3207, 784, 30, 10306, 711, 291, 630, 1114, 426, 280, 10306, 32, 371, 463, 426, 370, 1665, 27, 291, 630, 1114, 681, 280, 10306, 32, 371, 463, 2190, 81, 681, 370, 1665, 27, 291, 630, 1114, 1449, 81, 106, 280, 10306, 32, 371, 463, 1449, 81, 106, 370, 4040, 81, 3459, 81, 74, 27, 291, 630, 1114, 1449, 81, 107, 280, 10306, 32, 371, 463, 1449, 81, 107, 370, 4040, 81, 3459, 81, 75, 27, 291, 630, 1114, 2190, 280, 10306, 32, 371, 463, 2190, 370, 630, 32, 2951, 81, 2190, 1157, 291, 415, 630, 1114, 681, 44, 324, 630, 32, 2190, 81, 19321, 26, 784, 1114, 681, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 630, 32, 681, 284, 665, 1156, 466, 3207, 784, 711, 291, 7772, 280, 596, 26, 784, 32, 681, 27, 474, 3228, 96, 264, 330, 291, 436, 816, 328, 2155, 26, 34, 30, 630, 32, 1449, 81, 106, 711, 324, 7772, 1454, 596, 26, 106, 27, 291, 7772, 1454, 3228, 96, 287, 25, 474, 2726, 21113, 319, 308, 784, 32, 1449, 81, 106, 474, 225, 36, 490, 474, 3228, 96, 25, 291, 436, 533, 328, 2155, 26, 34, 30, 630, 32, 1449, 81, 107, 711, 324, 7772, 1454, 596, 26, 107, 27, 474, 330, 523, 330, 324, 436, 816, 328, 2155, 26, 34, 30, 630, 32, 1449, 81, 106, 711, 400, 415, 630, 32, 2190, 77, 106, 1674, 107, 5795, 1293, 785, 610, 358, 99, 1078, 32, 2951, 44, 528, 7772, 1454, 330, 55, 25, 400, 415, 630, 32, 2190, 77, 106, 1674, 107, 5795, 1293, 785, 610, 358, 99, 1078, 32, 7509, 44, 528, 7772, 1454, 330, 54, 25, 400, 415, 630, 32, 2190, 77, 106, 1674, 107, 5795, 1293, 785, 610, 358, 99, 1078, 32, 24192, 44, 528, 7772, 1454, 330, 58, 25, 400, 415, 630, 32, 2190, 77, 106, 1674, 107, 5795, 1293, 785, 610, 358, 99, 1078, 32, 2429, 44, 528, 7772, 1454, 330, 62, 25, 400, 415, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 7, 6, 7, 7, 7, 6, 7, 6, 4, 6, 7, 7, 7, 6, 7, 6, 4, 4, 6, 7, 7, 7, 6, 7, 6, 4, 6, 7, 7, 7, 6, 7, 6, 4, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 4, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 10, 11, 11, 11, 10, 4, 4, 5, 6, 7, 5, 5, 5, 9, 10, 10, 10, 9, 11, 10, 11, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 11, 10, 11, 9, 7, 7, 10, 9, 9, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 9, 9, 9, 7, 5, 5, 8, 8, 10, 11, 10, 4, 4, 6, 6, 11, 10, 10, 8, 8, 12, 10, 10, 14, 13, 14, 14, 14, 12, 12, 13, 11, 7, 7, 10, 9, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 9, 9, 9, 7, 5, 5, 8, 8, 11, 12, 11, 9, 9, 11, 11, 6, 6, 7, 7, 7, 9, 10, 9, 9, 10, 11, 11, 11, 9, 7, 7, 9, 14, 15, 13, 14, 13, 13, 12, 13, 13, 10, 10, 12, 12, 11, 12, 9, 9, 9, 12, 12, 14, 14, 8, 8, 9, 14, 15, 13, 14, 13, 13, 12, 13, 13, 10, 10, 12, 12, 11, 12, 9, 9, 9, 12, 12, 14, 14, 8, 8, 9, 14, 15, 13, 14, 13, 13, 12, 13, 13, 10, 10, 12, 12, 11, 12, 9, 9, 9, 12, 12, 14, 14, 8, 8, 9, 14, 15, 13, 14, 13, 13, 12, 13, 13, 10, 10, 12, 12, 11, 12, 9, 9, 9, 12, 12, 14, 14, 8, 8, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 3, 3, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 8, 2, 1, 2, 8, 8, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 4, 4, 5, 1, 2, 5, 5, 5, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 4, 4, 3, 3, 3, 1, 1, 1, 1, 3, 2, 2, 2, 1, 3, 3, 0, 0, 1, 1, 1, 2, 2, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 5, 5, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 5, 5, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 5, 5, 3, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 3, 3, 3, 0, 0, 1, 2, 5, 5, 4 ]
[ 1070, 25312, 834, 1188, 7176, 81, 2795, 203, 1070, 25312, 834, 32, 2304, 32, 751, 1188, 622, 81, 2795, 81, 4073, 203, 4073, 280, 622, 81, 2795, 81, 4073, 4064, 426, 8223, 203, 50, 4190, 81, 2795, 26, 2539, 47, 1815, 27, 203, 589, 4691, 905, 81, 2200, 26, 784, 30, 15769, 711, 284, 645, 638, 3378, 1188, 29753, 46095, 284, 15224, 46095, 280, 29753, 46095, 32, 5740, 32, 371, 26, 3174, 47, 3174, 27, 284, 4082, 32, 1338, 440, 14611, 46095, 804, 6132, 86, 20, 904, 15769, 27, 284, 415, 15224, 46095, 32, 5480, 6591, 44, 291, 4082, 32, 5691, 440, 7626, 15224, 46095, 484, 25, 485, 905, 25, 6314, 97, 4691, 91, 6591, 32, 25709, 331, 7144, 291, 442, 284, 415, 15224, 46095, 32, 2795, 81, 314, 863, 630, 32, 1357, 32, 314, 44, 291, 4082, 32, 5691, 440, 8068, 2484, 2979, 37111, 8692, 6257, 9220, 32, 7228, 422, 930, 414, 343, 5519, 6591, 32, 25709, 331, 7144, 291, 442, 284, 4691, 716, 81, 5480, 6591, 280, 15224, 46095, 32, 5817, 905, 346, 284, 415, 646, 4691, 716, 81, 5480, 6591, 44, 291, 4082, 32, 731, 440, 42835, 268, 17712, 2600, 97, 30, 17428, 29939, 29605, 12273, 20815, 24874, 97, 7144, 291, 3636, 630, 32, 13558, 346, 284, 4082, 32, 1338, 440, 15956, 46095, 4691, 91, 6591, 32, 559, 39951, 29939, 2899, 81, 314, 484, 11435, 2086, 7144, 284, 15224, 46095, 32, 2795, 81, 314, 280, 1665, 284, 15224, 46095, 32, 2853, 346, 203, 50, 4190, 81, 2795, 26, 2539, 47, 1815, 27, 203, 589, 4691, 905, 81, 2200, 81, 979, 108, 6591, 26, 784, 30, 15769, 81, 7288, 711, 291, 645, 25312, 834, 1188, 11171, 284, 645, 25312, 834, 32, 1267, 1188, 10726, 1394, 284, 645, 638, 3378, 1188, 29753, 46095, 284, 4082, 280, 622, 81, 2795, 81, 4073, 4064, 426, 8223, 284, 316, 25383, 81, 8246, 81, 314, 280, 1149, 346, 284, 5218, 81, 452, 81, 575, 416, 280, 29753, 46095, 32, 5740, 32, 2029, 26, 3174, 505, 266, 47, 3174, 81, 7288, 27, 284, 436, 3124, 328, 5218, 81, 452, 81, 575, 416, 44, 291, 15769, 280, 3124, 32, 3174, 291, 4082, 32, 1338, 9670, 27020, 79, 7813, 315, 15224, 46095, 804, 6132, 86, 20, 904, 15769, 27, 291, 588, 351, 588, 351, 415, 3124, 32, 2795, 81, 314, 438, 646, 1665, 44, 324, 2899, 280, 10726, 1394, 26, 2076, 32, 2795, 81, 314, 27, 324, 2899, 32, 41265, 346, 324, 4082, 32, 1338, 9670, 27020, 79, 9694, 2860, 97, 2899, 81, 314, 904, 101, 1292, 6233, 15224, 46095, 804, 6132, 86, 20, 904, 308, 2076, 32, 2795, 81, 314, 30, 15769, 490, 291, 588, 351, 3124, 32, 2795, 81, 314, 280, 11171, 346, 291, 3124, 32, 2853, 346, 291, 4082, 32, 5691, 9670, 27020, 79, 17550, 29939, 2899, 1292, 456, 25, 5817, 716, 1430, 331, 2901, 97, 457, 804, 6132, 101, 3107, 904, 3124, 32, 2795, 81, 314, 27, 291, 438, 81, 5914, 280, 3124, 32, 5817, 905, 26, 27020, 47, 1815, 27, 291, 415, 646, 438, 81, 5914, 44, 324, 4082, 32, 731, 9670, 27020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 5, 5, 0, 2, 4, 4, 4, 4, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 4, 7, 4, 4, 6, 3, 3, 6, 5, 5, 9, 8, 9, 7, 8, 7, 9, 8, 9, 7, 3, 3, 6, 7, 6, 9, 9, 9, 9, 9, 9, 7, 7, 6, 3, 3, 4, 6, 5, 6, 6, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 3, 3, 4, 7, 6, 7, 7, 7, 5, 5, 7, 8, 6, 7, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 3, 3, 6, 6, 6, 6, 5, 5, 8, 7, 8, 8, 7, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 8, 9, 8, 3, 3, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 7, 7, 5, 5, 3, 3, 7, 6, 7, 6, 0, 2, 4, 4, 4, 4, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 3, 2, 2, 4, 6, 4, 4, 0, 0, 1, 3, 2, 3, 1, 1, 3, 0, 0, 1, 4, 1, 1, 3, 0, 0, 2, 2, 4, 4, 4, 4, 4, 5, 5, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 0, 0, 3, 3, 3, 3, 3, 2, 2, 6, 5, 6, 4, 5, 4, 6, 6, 6, 5, 6, 6, 6, 4, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 5, 6, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 6, 6, 8, 7, 8, 8, 8, 6, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 9, 9, 7, 7, 7, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 8, 7, 8, 6, 2, 2, 3, 4, 5, 5, 3, 3, 3, 7, 8, 7, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 3, 0, 1, 2, 2, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 6, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 5, 0, 1, 2, 5, 5, 0, 0, 0, 6, 0, 6, 6, 0, 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, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 10, 10, 10, 3, 3, 3, 3, 3, 10, 10, 10, 0, 0, 2, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 5, 5, 0, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 0, 2, 1, 5, 5, 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, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 5, 5, 10, 1, 1, 1, 10, 10, 10, 0, 2, 1, 1 ]
[ 465, 5741, 203, 1070, 6765, 17594, 32, 913, 1188, 34062, 81, 7420, 81, 52, 15835, 75, 203, 1070, 6765, 17594, 32, 8774, 32, 1566, 1188, 4269, 81, 979, 81, 27404, 81, 2649, 203, 1070, 6765, 17594, 32, 1040, 32, 8018, 1188, 26299, 9097, 81, 27739, 1305, 43531, 69, 30, 26299, 9097, 81, 63, 5311, 69, 203, 1070, 6765, 17594, 32, 1040, 32, 2243, 81, 2946, 1188, 6786, 45846, 81, 12882, 30, 14462, 34253, 81, 12882, 203, 1070, 638, 1188, 308, 284, 9591, 81, 52, 15835, 75, 30, 284, 9591, 81, 4924, 32384, 30, 284, 9591, 81, 40952, 30, 284, 9591, 81, 13412, 81, 1186, 30, 284, 9591, 81, 13412, 81, 1186, 81, 6664, 30, 284, 33577, 2216, 30, 203, 27, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 18576, 81, 13412, 280, 313, 7702, 44, 7670, 21790, 20, 203, 589, 4705, 81, 5134, 26, 31667, 30, 1359, 30, 1015, 81, 13204, 30, 21067, 81, 1338, 47, 2521, 711, 284, 415, 21067, 81, 1338, 438, 1665, 44, 291, 442, 284, 9241, 280, 1605, 284, 436, 45747, 30, 32347, 328, 35741, 32, 605, 77, 4601, 81, 40952, 997, 3028, 2262, 291, 617, 22228, 32, 2811, 440, 21540, 30572, 436, 45747, 6132, 101, 392, 45747, 27, 291, 9241, 32, 1689, 26, 17203, 27259, 11810, 26, 26843, 490, 291, 9241, 32, 1689, 26, 17203, 3198, 11810, 26, 26843, 30, 2933, 490, 291, 9241, 32, 1689, 26, 17203, 3198, 11810, 26, 26843, 30, 3177, 490, 284, 1015, 81, 13204, 26, 13204, 30, 2933, 27, 203, 823, 33577, 27259, 11810, 26, 17203, 2216, 711, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 442, 630, 32, 3718, 32, 12729, 32, 25465, 474, 313, 49079, 20, 284, 477, 2433, 284, 665, 3298, 81, 823, 26, 784, 711, 291, 442, 34062, 81, 7420, 81, 52, 15835, 75, 284, 477, 2433, 284, 665, 1603, 26, 784, 711, 291, 442, 7818, 26, 784, 32, 3718, 32, 605, 77, 4601, 81, 52, 15835, 75, 1130, 284, 477, 2433, 284, 665, 4201, 81, 1028, 81, 25916, 26, 784, 711, 291, 442, 5461, 20, 284, 477, 2433, 284, 665, 4269, 26, 784, 711, 291, 10111, 1293, 280, 630, 32, 3718, 32, 605, 77, 4601, 81, 4924, 32384, 79, 291, 442, 4269, 81, 979, 81, 27404, 81, 2649, 26, 27404, 81, 2649, 47, 784, 32, 1293, 30, 663, 29883, 47, 13218, 1293, 27, 203, 823, 33577, 3198, 11810, 26, 17203, 2216, 711, 284, 665, 1156, 1664, 3207, 784, 30, 6346, 30, 1430, 81, 267, 711, 291, 630, 1114, 329, 81, 267, 280, 1430, 81, 267, 291, 2599, 17094, 1664, 3207, 3718, 27, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 415, 630, 1114, 329, 81, 267, 438, 2933, 44, 324, 442, 630, 32, 3718, 32, 12729, 32, 25465, 474, 313, 13091, 308, 1186, 4731, 291, 442, 630, 32, 3718, 32, 12729, 32, 25465, 474, 313, 13091, 20, 284, 665, 1245, 81, 15265, 26, 784, 711, 291, 617, 22228, 32, 2811, 26, 324, 313, 17527, 33577, 3198, 11810, 10516, 623, 677, 3302, 436, 676, 521, 904, 101, 392, 324, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 5, 5, 4, 4, 3, 3, 3, 2, 2, 4, 4, 2, 2, 3, 4, 4, 3, 3, 7, 8, 6, 7, 7, 7, 6, 6, 5, 3, 3, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 10, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 10, 9, 9, 9, 2, 2, 5, 5, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 11, 9, 10, 8, 9, 7, 7, 9, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 12, 11, 12, 10, 11, 9, 10, 10, 10, 10, 10, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 7, 7, 10, 11, 9, 10, 8, 9, 9, 9, 9, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 9, 11, 10, 11, 8, 8, 10, 9, 10, 10, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 9, 8, 8, 8, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 7, 7, 6, 6, 6, 8, 12, 13, 11, 12, 10, 11, 9, 9, 11, 11, 11, 11, 5, 5, 6, 10, 11, 9, 10, 8, 9, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 7, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 8, 8, 0, 0, 0, 1, 1, 0, 0, 0, 4, 4, 0, 0, 4, 4, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 0, 2, 1, 0, 0, 0, 1, 1, 1, 5, 5, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 0, 9, 9, 1, 1, 2, 1, 1, 2, 9, 9, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 4, 4, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 3, 2, 2, 1, 0, 10, 10, 1, 1, 2, 1, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 4942, 81, 23312, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8082, 81, 520, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 343, 2516, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 3996, 81, 1040, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 13714, 203, 1070, 14785, 32, 2958, 32, 2846, 1188, 8482, 81, 3229, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1417, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4479, 81, 2435, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4479, 81, 605, 81, 1867, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4479, 81, 3812, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4479, 81, 15378, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4479, 81, 1293, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 1603, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 32, 2518, 81, 3812, 81, 4156, 1188, 319, 203, 29957, 280, 4479, 81, 3812, 81, 4156, 32, 626, 81, 1449, 203, 626, 887, 280, 4479, 81, 3812, 81, 4156, 32, 626, 81, 887, 203, 24356, 280, 4479, 81, 3812, 81, 4156, 32, 1800, 81, 1166, 203, 589, 11366, 26, 106, 30, 636, 47, 2521, 711, 334, 623, 13714, 32, 426, 81, 3473, 26, 426, 30, 313, 14246, 392, 428, 106, 1130, 619, 636, 44, 284, 415, 6937, 26, 106, 30, 13714, 32, 19763, 7929, 711, 397, 415, 816, 32, 2810, 32, 12010, 328, 308, 48507, 32, 11476, 40, 38, 30, 343, 2516, 32, 11476, 35, 36, 42, 711, 291, 816, 81, 3596, 280, 4479, 81, 3812, 81, 4156, 32, 11476, 81, 3596, 26, 106, 32, 2810, 30, 324, 394, 541, 47, 106, 32, 2810, 32, 12010, 32, 4543, 81, 12010, 30, 636, 47, 426, 27, 291, 442, 13714, 32, 19763, 7929, 26, 7711, 47, 106, 32, 7711, 30, 2078, 47, 106, 81, 3596, 30, 6024, 47, 106, 32, 3229, 27, 397, 816, 81, 3596, 280, 4479, 81, 3812, 81, 4156, 1114, 3596, 26, 106, 32, 2810, 30, 636, 47, 426, 27, 397, 442, 13714, 32, 19763, 7929, 26, 7711, 47, 106, 32, 7711, 30, 2078, 47, 106, 81, 3596, 30, 6024, 47, 106, 32, 3229, 27, 284, 813, 44, 397, 816, 280, 13714, 32, 5954, 81, 452, 81, 6800, 26, 106, 30, 636, 347, 106, 657, 397, 415, 816, 32, 12010, 328, 308, 48507, 32, 11476, 40, 38, 30, 343, 2516, 32, 11476, 35, 36, 42, 711, 291, 442, 4479, 81, 3812, 81, 4156, 32, 11476, 81, 3596, 26, 106, 30, 394, 541, 47, 106, 32, 12010, 32, 4543, 81, 12010, 30, 636, 47, 426, 27, 397, 442, 4479, 81, 3812, 81, 4156, 1114, 3596, 26, 106, 30, 636, 47, 426, 27, 203, 589, 24910, 26, 106, 30, 533, 30, 636, 47, 2521, 711, 334, 623, 13714, 32, 426, 81, 3473, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 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, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 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, 2, 3, 3, 3, 3, 3, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 8, 10, 9, 6, 6, 3, 3, 3, 5, 7, 8, 7, 7, 8, 9, 9, 7, 5, 5, 7, 10, 11, 9, 10, 8, 8, 11, 10, 11, 11, 11, 9, 9, 11, 10, 11, 11, 11, 11, 9, 7, 7, 11, 11, 10, 10, 13, 13, 13, 13, 12, 13, 13, 13, 12, 14, 13, 14, 12, 12, 12, 14, 13, 17, 16, 17, 15, 16, 14, 15, 15, 15, 12, 12, 13, 14, 12, 8, 8, 9, 11, 12, 12, 11, 13, 12, 14, 13, 14, 11, 11, 12, 13, 13, 13, 11, 11, 12, 14, 13, 14, 11, 6, 6, 9, 9, 8, 8, 11, 11, 11, 11, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 6, 6, 7, 9, 10, 10, 9, 11, 10, 12, 11, 12, 9, 9, 10, 11, 11, 11, 9, 9, 10, 12, 11, 12, 9, 5, 5, 6, 6, 6, 9, 9, 11, 12, 12, 12, 12, 12, 11, 12, 11, 11, 12, 14, 14, 7, 7, 8, 10, 11, 9, 9, 12, 11, 12, 12, 12, 10, 10, 12, 11, 12, 12, 12, 12, 10, 8, 8, 10, 13, 13, 13, 13, 12, 13, 13, 13, 12, 13, 12, 12, 14, 13, 16, 15, 16, 14, 15, 15, 15, 12, 12, 13, 14, 12, 7, 7, 8, 11, 11, 11, 11, 10, 11, 10, 11, 10, 10, 11, 12, 10, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 8, 9, 9, 9, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 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, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 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, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 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, 1, 6, 6, 6, 6, 6, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 21, 21, 2, 1, 2, 2, 3, 2, 2, 21, 21, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 3, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 3, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 5, 2, 1, 3, 3, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 0, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 0, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 3, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 5, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 0, 22, 22, 2, 1, 2, 2, 2, 2, 5, 2, 2, 22, 22, 0, 0, 2, 2, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 8527, 32, 12023, 32, 2393, 32, 24894, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 465, 8527, 32, 2304, 32, 18218, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 2815, 280, 2933, 284, 6440, 280, 428, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 1240, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 2837, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 2895, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36, 42, 30, 9541, 81, 426, 1057, 2895, 13356, 400, 2726, 2135, 81, 3615, 370, 4549, 32, 36172, 26, 5006, 47, 1815, 30, 744, 47, 1815, 30, 9541, 81, 426, 1057, 2135, 6207, 13356, 400, 2726, 699, 370, 4549, 32, 16357, 26, 731, 81, 6286, 12516, 5665, 950, 330, 51, 1256, 623, 688, 952, 3425, 5375, 4564, 835, 1769, 81, 1322, 47, 35, 39, 34, 30, 5799, 47, 1815, 30, 27927, 6020, 11025, 32, 12023, 32, 2393, 32, 24894, 32, 14923, 8650, 7063, 27944, 471, 400, 2726, 770, 81, 35683, 370, 4549, 32, 36172, 26, 1536, 47, 11025, 32, 2304, 32, 18218, 32, 2174, 30, 9541, 81, 426, 1057, 770, 27033, 13356, 400, 2726, 1935, 370, 4549, 32, 4477, 1176, 26, 1449, 81, 1322, 47, 36, 39, 38, 30, 5799, 47, 1815, 3662, 400, 2726, 3656, 370, 4549, 32, 16357, 26, 5006, 47, 1815, 30, 1244, 47, 2521, 30, 1769, 81, 1322, 47, 39, 34, 30, 744, 47, 1815, 3662, 400, 2726, 297, 81, 2480, 370, 4549, 32, 39471, 26, 1536, 47, 1815, 3662, 400, 2726, 297, 81, 15989, 370, 4549, 32, 39471, 26, 1536, 47, 2700, 3662, 400, 2726, 297, 81, 2300, 370, 4549, 32, 39471, 26, 1536, 47, 2700, 3662, 400, 2726, 297, 81, 32455, 725, 370, 4549, 32, 39471, 26, 1536, 47, 2700, 3662, 400, 2726, 7468, 370, 4549, 32, 16357, 26, 5006, 47, 1815, 30, 1244, 47, 2521, 30, 1769, 81, 1322, 47, 39, 34, 34, 30, 744, 47, 1815, 3662, 400, 2726, 11869, 370, 4549, 32, 2413, 1176, 26, 5006, 47, 1815, 30, 1244, 47, 2521, 30, 744, 47, 1815, 3662, 400, 2726, 1204, 370, 4549, 32, 2413, 1176, 26, 5006, 47, 1815, 30, 1244, 47, 2521, 30, 744, 47, 1815, 3662, 400, 2726, 28663, 543, 370, 4549, 32, 16357, 26, 5006, 47, 1815, 30, 1244, 47, 2521, 30, 1769, 81, 1322, 47, 39, 34, 30, 744, 47, 1815, 3662, 324, 2505, 324, 2075, 1279, 400, 330, 10529, 81, 426, 950, 330, 1240, 370, 400, 330, 10529, 81, 426, 81, 25857, 950, 330, 3699, 370, 400, 330, 24576, 950, 2107, 31, 770, 81, 35683, 2188, 400, 330, 371, 81, 5323, 81, 1170, 950, 330, 770, 81, 35683, 370, 324, 801, 291, 2588, 284, 1481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 2, 3, 2, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 17, 17, 15, 17, 17, 17, 17, 17, 17, 17, 17, 14, 12, 14, 14, 13, 14, 14, 14, 12, 12, 13, 14, 12, 12, 13, 20, 19, 20, 18, 19, 17, 18, 16, 17, 17, 17, 16, 10, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 17, 16, 17, 15, 16, 14, 15, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 14, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 9, 9, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 14, 14, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 13, 14, 12, 12, 13, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 13, 14, 12, 12, 13, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 14, 14, 12, 12, 13, 14, 12, 9, 9, 7, 7, 8, 9, 9, 12, 12, 12, 12, 10, 12, 12, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 13, 13, 13, 13, 13, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 7, 7, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 1, 1, 2, 2, 2, 1, 2, 7, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 7, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 7, 2, 2, 1, 1, 1, 2, 9, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 2, 2, 2, 1, 2, 11, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 2, 2, 1, 2, 13, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 2, 1, 1, 7, 2, 1, 2, 2, 1, 1, 1, 2, 15, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 17, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 19, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 21, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 23, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 7, 2, 1, 2, 2, 1, 2, 25, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 2, 2, 1, 2, 27, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 2, 2, 1, 1, 2, 29, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 2, 1, 1, 7, 2, 1, 2, 2, 1, 1, 5, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 2, 2, 1, 1, 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 ]
[ 465, 5237, 203, 465, 1360, 203, 465, 32023, 203, 1070, 1673, 2304, 32, 1648, 1188, 38218, 2062, 203, 1070, 1360, 1188, 18102, 57, 81, 20689, 30, 19430, 81, 17104, 10330, 30, 19430, 81, 8182, 30, 19430, 81, 56, 1013, 76, 718, 203, 1070, 29947, 32, 4318, 1188, 18792, 203, 505, 464, 505, 280, 428, 284, 330, 3797, 370, 330, 1809, 81, 1647, 370, 330, 371, 81, 1647, 81, 8662, 370, 330, 8281, 81, 8662, 25, 203, 79, 203, 823, 8032, 44, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 8843, 81, 1648, 30, 2297, 30, 25060, 26409, 324, 3879, 47, 2521, 30, 2179, 47, 2521, 711, 291, 415, 2179, 438, 1665, 461, 8843, 81, 1648, 438, 646, 1665, 44, 324, 2179, 280, 38218, 2062, 291, 415, 2179, 438, 646, 1665, 44, 324, 8843, 81, 1648, 280, 2179, 26, 22115, 81, 1648, 27, 324, 415, 3879, 438, 1665, 44, 400, 3879, 280, 11477, 1648, 505, 25, 291, 630, 3667, 2665, 9818, 1877, 26, 22457, 1157, 291, 3555, 630, 32, 784, 284, 665, 3536, 81, 426, 26, 784, 711, 291, 415, 630, 32, 22115, 81, 1648, 438, 646, 1665, 44, 324, 442, 6611, 101, 9299, 101, 25, 904, 308, 784, 32, 426, 30, 630, 32, 22115, 81, 1648, 27, 291, 442, 630, 32, 426, 284, 665, 1503, 81, 1253, 26, 784, 30, 1503, 711, 291, 442, 630, 32, 4890, 438, 1665, 556, 630, 32, 1643, 438, 1665, 556, 766, 324, 596, 26, 1648, 27, 863, 313, 6876, 20, 461, 1503, 2377, 630, 32, 22115, 81, 1648, 284, 665, 622, 81, 1648, 26, 784, 30, 7842, 47, 2521, 30, 1244, 347, 6876, 10280, 291, 415, 630, 32, 4890, 438, 1665, 44, 324, 1596, 44, 400, 296, 30, 298, 30, 595, 280, 2290, 81, 1647, 26, 784, 32, 1647, 30, 7842, 27, 400, 415, 296, 44, 528, 296, 32, 2679, 346, 400, 442, 1244, 324, 2940, 29986, 44, 400, 442, 1665, 291, 354, 280, 622, 81, 1647, 81, 8662, 26, 784, 32, 1647, 30, 630, 32, 4890, 30, 1244, 30, 7842, 27, 291, 415, 354, 438, 646, 1665, 461, 354, 438, 646, 1244, 461, 630, 32, 1643, 438, 646, 1665, 44, 324, 442, 630, 32, 1643, 26, 104, 27, 291, 442, 354, 284, 665, 438, 81, 2689, 26, 784, 30, 7842, 47, 2521, 711, 291, 442, 630, 32, 371, 81, 1648, 26, 8478, 27, 438, 646, 1665, 284, 665, 438, 81, 1700, 26, 784, 30, 7842, 47, 2521, 711, 291, 1503, 280, 630, 32, 371, 81, 1648, 26, 8478, 27, 291, 415, 1503, 438, 1665, 44, 324, 442, 3177, 291, 442, 630, 32, 1648, 81, 1253, 26, 1648, 27, 203, 589, 617, 1731, 81, 687, 26, 687, 711, 284, 645, 1417, 1188, 1417, 284, 645, 1214, 1188, 18560, 81, 29940, 30, 26965, 35368, 81, 5425, 284, 3519, 280, 1417, 463, 84, 370, 1340, 32, 331, 81, 687, 27, 284, 48064, 280, 2069, 26, 687, 32, 331, 81, 687, 27, 284, 8414, 280, 225, 34, 284, 13969, 81, 626, 280, 225, 34, 284, 2218, 8414, 333, 48064, 44, 291, 3089, 280, 3519, 77, 1753, 79, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 7, 7, 6, 6, 8, 8, 7, 7, 7, 5, 5, 5, 8, 8, 9, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 10, 10, 12, 12, 12, 4, 4, 8, 9, 9, 8, 7, 9, 9, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 6, 5, 5, 5, 7, 10, 10, 10, 10, 8, 8, 11, 10, 11, 9, 9, 10, 11, 11, 11, 9, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 9, 10, 8, 8, 7, 7, 9, 10, 8, 8, 6, 6, 7, 6, 10, 11, 10, 8, 8, 10, 10, 7, 7, 8, 8, 9, 10, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 7, 7, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 7, 7, 11, 11, 11, 11, 10, 10, 12, 12, 12, 14, 13, 14, 12, 12, 12, 8, 8, 9, 9, 9, 9, 13, 14, 13, 8, 8, 9, 7, 7, 8, 8, 8, 8, 10, 4, 4, 6, 6, 8, 8, 8, 8, 8, 10, 9, 10, 8, 8, 9, 10, 8, 8, 8, 8, 8, 4, 4, 5, 8, 8, 8, 7, 7, 8, 8, 8, 6, 6, 8, 9, 7, 7, 7, 5, 5, 5, 7, 9, 10, 9, 10, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 8, 9, 8, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 4, 4, 5, 7, 8, 8, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 2, 2, 3, 3, 3, 5, 5, 3, 3, 5, 5, 5, 2, 2, 4, 4, 6, 8, 8, 6, 7, 8, 8, 8, 6, 2, 2, 4, 4, 6, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 7, 8, 7, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 7, 7, 7, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 9, 2, 2, 11, 2, 2, 2, 13, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 4, 4, 3, 1, 2, 3, 3, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 1, 1, 2, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 1, 2, 3, 3, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 4, 4, 3, 3, 3, 4, 1, 1, 2, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 5, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 2, 2, 2, 1, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 4, 4, 0, 0, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 6, 1, 1, 6, 6, 6, 0, 0, 2, 2, 2, 3 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 1199, 1188, 4549, 30, 12522, 203, 465, 21873, 1495, 32, 4151, 203, 465, 8527, 32, 2304, 32, 18218, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 12522, 32, 1586, 44930, 81, 9277, 26, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 1705, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 4457, 81, 678, 47, 1815, 30, 2267, 81, 4524, 47, 1815, 30, 12741, 47, 2700, 30, 9541, 81, 426, 1057, 779, 13356, 400, 2726, 4524, 370, 4549, 32, 36172, 26, 1199, 81, 1055, 47, 1815, 30, 1244, 47, 11025, 32, 2304, 32, 18218, 32, 2174, 30, 11771, 47, 1815, 3662, 400, 2726, 6368, 370, 4549, 32, 36172, 26, 5006, 47, 1815, 3662, 400, 2726, 1172, 370, 4549, 32, 20488, 1176, 26, 1449, 81, 1322, 47, 35, 34, 34, 30, 5799, 47, 1815, 3662, 400, 2726, 1286, 370, 21873, 1495, 32, 4151, 32, 22932, 1176, 26, 29032, 81, 1495, 47, 1815, 3662, 400, 2726, 1286, 81, 19213, 81, 681, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 37, 34, 30, 16682, 6020, 22869, 11363, 1425, 2726, 916, 370, 330, 916, 1425, 2726, 7355, 370, 330, 7355, 1425, 2726, 8523, 370, 330, 8523, 1425, 2726, 268, 25120, 878, 370, 330, 268, 25120, 878, 36977, 1244, 1057, 268, 25120, 878, 13356, 400, 2726, 81, 1286, 81, 29032, 370, 4549, 32, 10215, 26, 21466, 47, 2700, 3662, 400, 2726, 16417, 370, 4549, 32, 13343, 26, 1693, 47, 1815, 30, 372, 47, 3550, 32, 9036, 81, 4975, 81, 14483, 30, 5886, 81, 426, 1057, 12936, 81, 1501, 81, 16417, 370, 11771, 47, 1815, 3662, 400, 2726, 2135, 81, 10454, 81, 1170, 370, 4549, 32, 13343, 26, 1693, 47, 1815, 30, 372, 47, 3550, 32, 9036, 81, 4975, 81, 14483, 30, 5886, 81, 426, 1057, 12936, 81, 1501, 81, 10454, 370, 11771, 47, 1815, 3662, 324, 2505, 324, 2075, 1279, 400, 330, 10529, 81, 426, 81, 25857, 950, 330, 12936, 370, 324, 801, 324, 26394, 4310, 3378, 32, 1243, 28020, 291, 2588, 284, 1481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 2, 3, 2, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 7, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 12, 12, 13, 17, 16, 17, 15, 16, 14, 15, 12, 12, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 10, 14, 13, 14, 12, 13, 13, 12, 14, 14, 14, 13, 14, 12, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 12, 12, 13, 15, 15, 17, 14, 17, 17, 15, 17, 17, 14, 17, 17, 15, 17, 17, 14, 17, 17, 15, 17, 17, 14, 17, 17, 17, 17, 15, 17, 17, 17, 17, 12, 13, 15, 15, 15, 15, 9, 9, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 13, 15, 14, 15, 15, 15, 15, 15, 12, 12, 14, 14, 13, 15, 15, 15, 15, 15, 15, 12, 13, 14, 12, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 13, 15, 14, 15, 15, 15, 15, 15, 12, 12, 14, 14, 13, 15, 15, 15, 15, 15, 15, 12, 13, 14, 12, 9, 9, 7, 7, 8, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 9, 9, 7, 7, 8, 11, 10, 11, 9, 7, 7, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 3, 3, 1, 2, 1, 4, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 2, 0, 1, 2, 2, 5, 5, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 3, 0, 0, 2, 0, 2, 2, 2, 1, 1, 5, 2, 1, 2, 2, 1, 2, 5, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 7, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 2, 2, 1, 2, 9, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 11, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 2, 5, 1, 2, 2, 1, 2, 7, 1, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 13, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 15, 0, 2, 1, 0, 1, 2, 1, 1, 3, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 5, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 17, 0, 2, 1, 0, 1, 2, 1, 1, 3, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 5, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1, 2, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 7, 0, 1, 2, 2, 1, 1, 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 ]
[ 1070, 7138, 1188, 7138, 203, 1070, 9525, 32, 4882, 32, 42053, 1188, 2680, 2214, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 2614, 107, 13018, 2214, 203, 3765, 81, 13001, 280, 1044, 25, 16520, 25, 203, 823, 22509, 2551, 2214, 13976, 26, 1473, 711, 284, 477, 16099, 284, 665, 1487, 81, 7632, 14605, 5321, 711, 291, 442, 2614, 107, 13018, 2214, 32, 1297, 26, 324, 943, 47, 6665, 26, 36, 34, 35, 39, 30, 225, 43, 30, 225, 35, 43, 30, 225, 35, 42, 30, 225, 34, 30, 225, 34, 471, 324, 42354, 81, 1366, 47, 6665, 26, 36, 34, 35, 39, 30, 225, 40, 30, 225, 35, 39, 30, 225, 34, 30, 225, 34, 30, 225, 34, 471, 324, 42354, 81, 416, 47, 6665, 26, 36, 34, 35, 39, 30, 225, 41, 30, 225, 35, 39, 30, 225, 34, 30, 225, 34, 30, 225, 34, 471, 324, 9533, 81, 28771, 47, 1815, 30, 324, 1115, 5321, 291, 829, 284, 477, 16099, 284, 665, 1487, 81, 496, 26, 699, 30, 438, 81, 15989, 711, 291, 442, 2680, 2214, 26, 324, 952, 47, 699, 30, 324, 4096, 47, 103, 25, 2537, 50, 2763, 32, 508, 2473, 1643, 26, 699, 471, 324, 3882, 47, 3765, 81, 13001, 30, 324, 438, 81, 15989, 47, 297, 81, 15989, 291, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 7, 5, 4, 4, 6, 9, 9, 9, 8, 9, 8, 8, 8, 9, 11, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 11, 12, 12, 11, 11, 12, 11, 11, 12, 11, 8, 8, 10, 10, 9, 11, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 8, 8, 10, 10, 9, 11, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 6, 8, 8, 8, 8, 9, 10, 8, 8, 8, 9, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 11, 8, 8, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 9, 1, 1, 11, 1, 1, 1, 0, 0, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 1, 0, 0, 5, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 1, 0, 0, 7, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 3, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 10245, 1188, 319, 203, 465, 622, 4617, 203, 465, 7744, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 5624, 203, 465, 5237, 203, 465, 1133, 203, 1070, 2361, 8358, 1188, 4851, 5392, 30, 2361, 203, 6177, 81, 56, 4153, 47, 7697, 440, 34, 32, 34, 34, 35, 657, 203, 589, 1505, 81, 1260, 81, 15144, 2262, 284, 310, 280, 23501, 440, 36, 34, 34, 34, 34, 34, 34, 34, 32, 34, 34, 34, 34, 34, 34, 34, 37, 657, 284, 19651, 13821, 297, 280, 629, 26, 1260, 32, 12474, 26, 1260, 32, 16958, 26, 1808, 26, 96, 2610, 28, 35, 32, 34, 87, 42, 27, 284, 415, 19651, 13821, 297, 863, 225, 36, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 37, 44, 291, 3636, 26405, 440, 3265, 9336, 33, 5460, 598, 1464, 12485, 657, 203, 589, 9921, 81, 1199, 81, 1515, 2262, 284, 415, 5624, 32, 2946, 346, 610, 313, 35105, 4463, 563, 291, 442, 2322, 32, 983, 32, 8931, 496, 440, 11746, 5876, 33, 2727, 6318, 33, 41377, 29594, 284, 4348, 5624, 32, 2946, 346, 610, 313, 2839, 563, 291, 442, 2322, 32, 983, 32, 2524, 26, 500, 32, 12757, 710, 6870, 4601, 2188, 313, 41377, 657, 284, 442, 2322, 32, 983, 32, 8931, 496, 440, 30127, 27525, 657, 203, 589, 1491, 81, 27525, 81, 1163, 26, 1199, 1515, 711, 284, 645, 3383, 2825, 1188, 21763, 46487, 284, 443, 18883, 3091, 7979, 26, 1473, 711, 291, 665, 1156, 1664, 3207, 784, 30, 11828, 711, 324, 630, 32, 4426, 280, 11828, 324, 630, 32, 277, 1058, 339, 280, 13198, 464, 10854, 96, 25, 291, 665, 1491, 928, 26, 784, 711, 324, 415, 630, 32, 277, 1058, 339, 44, 400, 1596, 44, 442, 630, 32, 277, 1058, 339, 400, 8295, 44, 630, 32, 277, 1058, 339, 280, 1665, 324, 813, 44, 400, 309, 280, 630, 32, 4426, 32, 25637, 346, 400, 415, 309, 32, 1809, 3609, 683, 863, 429, 35, 44, 528, 309, 280, 309, 77, 34, 44, 101, 32, 1809, 3609, 683, 997, 7201, 346, 474, 7646, 96, 20, 400, 442, 309, 284, 1359, 81, 3922, 280, 21763, 46487, 346, 284, 1359, 81, 3922, 32, 850, 4426, 26, 13190, 3091, 7979, 26, 1676, 26, 500, 32, 983, 32, 2524, 26, 1199, 1515, 30, 313, 27525, 32, 2957, 2131, 490, 284, 442, 5436, 26, 1163, 81, 3922, 32, 3028, 440, 464, 2131, 203, 589, 5008, 81, 3265, 26, 1163, 711, 284, 894, 1299, 280, 1359, 32, 371, 463, 858, 1299, 370, 330, 34, 683, 284, 894, 1299, 280, 308, 410, 26, 858, 1299, 27, 848, 225, 34, 27, 10065, 415, 646, 330, 8358, 625, 25, 328, 1359, 44, 291, 1359, 710, 8358, 625, 785, 280, 225, 41, 39, 38, 35, 37, 415, 894, 1299, 813, 225, 39, 39, 38, 35, 37, 284, 5008, 280, 313, 525, 555, 23, 101, 6069, 101, 50, 35, 36, 41, 32, 34, 32, 34, 32, 35, 6069, 101, 15860, 26, 1163, 710, 8358, 496, 2188, 1359, 710, 8358, 2895, 2188, 1359, 710, 8358, 625, 3490, 284, 1596, 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, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 0, 3, 3, 3, 3, 2, 4, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 10, 9, 10, 9, 12, 11, 12, 11, 13, 13, 14, 13, 7, 8, 8, 8, 8, 8, 6, 2, 2, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 6, 7, 6, 4, 4, 6, 6, 6, 3, 3, 5, 8, 9, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 7, 8, 7, 5, 5, 7, 7, 4, 4, 6, 9, 10, 8, 9, 8, 11, 10, 11, 9, 11, 11, 11, 8, 10, 10, 2, 2, 3, 6, 7, 5, 6, 6, 5, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 7, 6, 6, 6, 5, 5, 9, 10, 8, 8, 6, 6, 9, 10, 10, 10, 8, 8, 10, 10, 11, 10, 4, 4, 5, 6, 6, 7, 6, 5, 5, 7, 8, 9, 9, 9, 7, 7, 7, 9, 9, 11, 12, 13, 13, 13, 9, 9, 10, 10, 14, 15, 15, 15, 13, 13, 7, 7, 8, 8, 8, 11, 11, 14, 15, 13, 14, 13, 9, 9, 10, 13, 14, 13, 15, 11, 11, 13, 10, 10, 10, 13, 13, 17, 19, 18, 21, 20, 21, 20, 22, 17, 17, 16, 14, 16, 17, 16, 9, 9, 10, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 6, 6, 5, 6, 6, 5, 7, 7, 7, 7, 9, 9, 13, 12, 13, 11, 12, 11, 12, 12, 11, 11, 13, 13, 13, 13, 7, 2, 2, 3, 5, 8, 8, 8, 7, 8, 7, 9, 9, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 6, 8, 8, 8, 6, 8, 8, 2, 2, 5, 4, 4, 8, 8, 9, 9, 8, 6, 6, 7, 5, 2, 2, 3, 4, 7, 7, 7, 5, 5, 3, 3, 3, 7, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 8, 8, 8, 8, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 8, 7, 9, 9, 9, 6, 7, 9, 9, 9, 6, 7, 9, 9, 9, 2, 2, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 1, 1, 2, 10, 10, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 2, 11, 11, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 12, 12, 1, 1, 1, 1, 2, 1, 1, 2, 12, 12, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 2, 2, 2, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 4, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 3, 1, 1, 2, 2, 5, 1, 1, 2, 4, 4, 4 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 37261, 32, 2011, 1188, 28757, 7331, 5916, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 37261, 1188, 1244, 81, 6174, 1734, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 37261, 1188, 28520, 81, 21945, 203, 589, 622, 81, 464, 81, 37261, 26, 1647, 711, 284, 5881, 8524, 4125, 436, 28520, 225, 36, 32, 36, 33, 36, 32, 37, 2297, 81, 2304, 32, 37261, 32, 371, 81, 464, 81, 37261, 1411, 284, 9177, 101, 2297, 372, 526, 600, 1980, 432, 35603, 2459, 30, 623, 312, 330, 20646, 81, 19113, 25, 4356, 32, 284, 3217, 312, 5436, 7996, 322, 27708, 8434, 636, 2726, 1536, 81, 12288, 38, 25, 623, 1289, 330, 19441, 16436, 3583, 27, 372, 284, 322, 8434, 786, 48256, 284, 20133, 81, 19113, 280, 2297, 32, 2132, 710, 20646, 81, 19113, 785, 284, 442, 28520, 81, 37261, 26, 1647, 30, 20133, 81, 19113, 47, 20646, 81, 19113, 27, 203, 589, 28520, 81, 37261, 26, 1647, 30, 20133, 81, 19113, 47, 2521, 711, 284, 5881, 6812, 4125, 436, 28520, 225, 36, 32, 34, 33, 36, 32, 36, 33, 36, 32, 37, 2297, 81, 2304, 32, 37261, 32, 19441, 81, 37261, 1411, 275, 36, 32, 37, 33, 36, 32, 37, 23119, 312, 20133, 81, 19113, 1638, 32, 275, 36, 32, 34, 33, 36, 32, 35, 1957, 646, 2940, 312, 20133, 81, 19113, 1638, 284, 2770, 1930, 20133, 81, 1113, 2021, 600, 5302, 1638, 30, 1244, 299, 372, 9577, 4040, 81, 57, 41597, 81, 14247, 284, 330, 1647, 25, 1395, 526, 600, 1980, 432, 600, 35603, 2459, 32, 284, 3217, 312, 5436, 7996, 322, 27708, 8434, 636, 2726, 1536, 81, 12288, 38, 25, 623, 1289, 330, 19441, 16436, 3583, 27, 372, 284, 322, 8434, 786, 32, 284, 5881, 284, 20133, 81, 19113, 280, 20133, 81, 19113, 556, 2297, 32, 2132, 32, 371, 463, 20646, 81, 19113, 370, 2107, 464, 3490, 284, 20133, 81, 5457, 280, 2297, 32, 2132, 32, 371, 463, 20646, 81, 5457, 370, 225, 35, 34, 27, 284, 2761, 81, 2285, 280, 2297, 32, 2132, 32, 371, 463, 2029, 370, 13838, 683, 284, 16645, 81, 20646, 81, 19113, 280, 20073, 470, 4901, 368, 568, 27914, 370, 330, 13033, 370, 330, 41842, 370, 330, 770, 81, 1003, 370, 10000, 330, 13081, 370, 330, 12236, 370, 330, 2121, 370, 330, 88, 9510, 370, 330, 1696, 370, 330, 41205, 370, 10000, 330, 4652, 81, 16397, 370, 330, 5134, 370, 330, 2958, 370, 330, 277, 4783, 370, 10000, 330, 2122, 81, 16397, 370, 330, 9404, 81, 2862, 81, 3494, 370, 330, 496, 3490, 284, 1169, 81, 21945, 81, 4820, 280, 1244, 81, 6174, 1734, 32, 6174, 1734, 284, 3583, 280, 28757, 7331, 5916, 26, 2011, 81, 426, 1057, 19441, 370, 1891, 5202, 32601, 284, 8434, 81, 21945, 280, 766, 291, 28520, 81, 21945, 32, 371, 81, 19441, 81, 21945, 26, 464, 81, 21945, 81, 4820, 47, 464, 81, 21945, 81, 4820, 30, 4180, 3583, 47, 2011 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 7, 5, 7, 7, 7, 7, 2, 2, 3, 5, 5, 5, 6, 5, 5, 7, 7, 6, 7, 7, 7, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 8, 9, 7, 8, 7, 9, 9, 9, 9, 7, 10, 10, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 6, 8, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 7, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 7, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 6, 6, 2, 2, 4, 4, 6, 6, 6, 8, 8, 8, 7, 9, 9, 6, 6, 7, 2, 2, 5, 5, 4, 4, 5, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 6, 7, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 2, 1, 4, 3, 3, 0, 0, 0, 0, 4, 4, 1, 2, 2, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 2, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 6, 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, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 3, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 3, 2 ]
[ 9592, 22046, 5016, 20091, 32, 9309, 81, 955, 81, 3585, 203, 2272, 2297, 3115, 9408, 322, 13978, 432, 322, 225, 203, 22046, 32, 1294, 32, 41776, 32, 7654, 32, 9309, 81, 955, 81, 3585, 372, 2355, 312, 1829, 225, 203, 8312, 31, 25306, 2330, 203, 19310, 308, 1070, 322, 1374, 27, 203, 202, 1318, 12260, 432, 458, 5016, 438, 372, 8263, 30838, 3857, 9228, 203, 202, 9452, 26059, 4729, 26224, 9228, 12051, 4444, 1412, 322, 10218, 21671, 101, 203, 202, 1382, 7506, 706, 22061, 27639, 372, 4986, 973, 623, 322, 7692, 203, 202, 269, 1510, 322, 9228, 6863, 883, 16831, 13228, 32, 225, 17048, 2337, 883, 4986, 203, 202, 417, 415, 2953, 883, 2258, 3097, 9228, 10193, 372, 322, 13255, 461, 203, 202, 730, 322, 13255, 313, 3978, 20, 322, 4648, 9228, 706, 4729, 13254, 11348, 203, 202, 2791, 308, 14683, 547, 225, 26449, 30, 322, 1550, 26224, 225, 35, 32, 35, 9228, 1417, 203, 202, 1126, 6301, 1401, 21252, 13383, 688, 1930, 3751, 600, 10078, 203, 202, 10060, 32, 225, 39791, 30, 322, 9228, 1417, 2155, 5016, 32, 203, 202, 2272, 5016, 7367, 312, 17016, 436, 665, 22871, 322, 42081, 432, 203, 202, 9309, 1417, 4702, 372, 44288, 19232, 318, 42081, 432, 13228, 436, 203, 202, 6579, 30, 17457, 9228, 1417, 44329, 32, 225, 886, 26224, 2043, 1849, 1755, 203, 202, 4617, 9228, 10193, 372, 322, 13255, 1510, 883, 19232, 322, 4648, 1650, 1182, 203, 202, 9309, 706, 7029, 963, 432, 322, 2043, 2965, 5122, 32, 203, 202, 1318, 26224, 225, 35, 32, 35, 9228, 1417, 8904, 15822, 312, 31107, 6523, 203, 202, 331, 2734, 2362, 1542, 436, 1412, 26224, 6571, 101, 9228, 706, 645, 312, 9228, 203, 202, 955, 461, 1412, 322, 3022, 883, 1974, 322, 328, 4117, 203, 202, 9309, 1417, 706, 32, 225, 886, 26224, 225, 35, 32, 35, 14224, 15936, 313, 9574, 203, 202, 24915, 372, 1417, 706, 3733, 322, 6063, 432, 14084, 461, 322, 203, 202, 13944, 46835, 6063, 432, 4720, 1631, 13328, 7399, 372, 2629, 1308, 203, 202, 6939, 884, 5590, 4797, 322, 2432, 14084, 33, 2102, 7918, 328, 2979, 31, 42531, 203, 202, 3742, 32, 225, 8053, 438, 30, 312, 1476, 372, 2629, 1308, 688, 48911, 7196, 312, 1539, 372, 203, 202, 955, 706, 1631, 2857, 322, 5372, 706, 30, 461, 312, 1476, 688, 11588, 203, 202, 83, 1539, 372, 1417, 706, 1631, 2857, 322, 4707, 706, 3107, 203, 202, 2272, 6058, 688, 810, 322, 1133, 4720, 3217, 308, 363, 10178, 9978, 461, 203, 202, 2886, 7452, 442, 4558, 2953, 1159, 10353, 4720, 101, 471, 322, 4648, 9228, 203, 202, 955, 706, 2298, 526, 35581, 372, 26224, 32, 225, 1348, 6523, 2098, 2734, 2362, 1542, 203, 202, 9217, 101, 1770, 645, 9639, 13256, 9228, 1994, 10193, 372, 322, 13255, 203, 202, 363, 7696, 322, 13255, 313, 3978, 20, 322, 9228, 706, 963, 308, 7900, 438, 12270, 203, 202, 3222, 2685, 322, 4720, 436, 322, 17148, 1401, 4717, 372, 322, 3022, 547, 203, 202, 3689, 648, 299, 458, 2098, 2734, 2362, 1542, 461, 20446, 322, 2155, 645, 1510, 203, 202, 9309, 1417, 706, 883, 526 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1070, 28520, 32, 2304, 32, 2387, 1188, 3079, 203, 1070, 28520, 1188, 8745, 203, 1070, 28520, 1188, 3878, 203, 1070, 28520, 32, 48646, 32, 2795, 1188, 4187, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 48098, 1188, 6122, 81, 1132, 30, 707, 7345, 203, 465, 28520, 32, 9777, 619, 390, 203, 465, 49098, 203, 465, 787, 1909, 203, 465, 2322, 203, 465, 5237, 203, 465, 11171, 203, 823, 11761, 26, 1473, 711, 284, 617, 4365, 81, 2282, 280, 428, 291, 330, 14787, 7309, 370, 330, 14787, 7309, 81, 12288, 40, 370, 330, 14787, 7309, 81, 625, 370, 330, 1813, 81, 4275, 81, 23766, 370, 330, 864, 3749, 370, 291, 330, 864, 3749, 81, 1959, 370, 330, 864, 3749, 81, 496, 370, 330, 9236, 370, 330, 5538, 81, 14458, 370, 330, 20646, 81, 37261, 370, 291, 330, 14458, 370, 330, 15934, 370, 330, 426, 370, 330, 1347, 81, 751, 370, 330, 7001, 81, 496, 370, 330, 9715, 370, 330, 3542, 370, 330, 11192, 370, 4456, 330, 11192, 81, 496, 370, 330, 9860, 370, 330, 9860, 81, 496, 370, 330, 3963, 370, 330, 6862, 370, 330, 6862, 81, 2536, 370, 330, 6862, 81, 13232, 370, 4456, 330, 14909, 81, 2895, 370, 284, 1481, 284, 1156, 18645, 505, 280, 617, 4365, 81, 2282, 474, 428, 291, 7610, 3210, 370, 7610, 14458, 370, 7610, 1066, 81, 15934, 370, 7610, 8246, 370, 330, 1813, 81, 4275, 81, 23766, 370, 330, 39891, 370, 291, 330, 1536, 81, 6862, 370, 330, 29529, 81, 9715, 370, 330, 1449, 81, 5066, 81, 25747, 370, 330, 48646, 370, 330, 7001, 81, 625, 370, 291, 330, 4298, 81, 6862, 370, 330, 9613, 370, 330, 6862, 81, 761, 81, 6862, 370, 284, 1481, 284, 27220, 81, 21800, 280, 20073, 470, 2176, 4365, 81, 2282, 474, 428, 291, 330, 3841, 370, 330, 1017, 370, 330, 1449, 81, 5066, 81, 19923, 370, 330, 625, 370, 330, 1526, 81, 8246, 370, 291, 330, 1001, 81, 8246, 370, 330, 4298, 81, 4243, 370, 330, 8246, 370, 330, 496, 370, 284, 8834, 284, 665, 1156, 1664, 3207, 784, 30, 4654, 2609, 30, 10180, 30, 1695, 1515, 30, 27781, 81, 2895, 47, 2521, 711, 291, 5881, 4374, 20748, 645, 312, 4654, 706, 5999, 5881, 291, 436, 816, 328, 10180, 32, 3494, 2262, 324, 415, 646, 816, 328, 11761, 32, 5915, 81, 21800, 44, 400, 3636, 3878, 32, 1045, 21581, 924, 4912, 101, 438, 646, 312, 23452, 3395, 432, 600, 35603, 11761, 20, 904, 816, 27, 291, 630, 32, 6862, 2407, 280, 10180, 32, 371, 463, 6862, 370, 12797, 291, 630, 32, 6862, 81, 13232, 647, 280, 10180, 32, 371, 463, 6862, 81, 13232, 370, 12797, 291, 630, 32, 48646, 263, 280, 4654, 2609, 291, 630, 32, 6862, 2407, 280, 630, 1114, 371, 81, 6862, 346, 291, 630, 32, 6862, 81, 761, 81, 6862, 261, 280, 5436, 346, 4456, 630, 32, 4298, 81, 6862, 351, 280, 5436, 346, 4456, 630, 32, 39891, 2033, 280, 1695, 1515, 291, 630, 32, 9715, 1468, 280, 10180, 32, 371, 463, 9715, 370, 1665, 27, 291, 630, 32, 3963, 2407, 280, 10180, 32, 371, 463, 3963 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 5, 5, 6, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 8, 8, 8, 7, 7, 8, 8, 10, 10, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 8, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 8, 10, 10, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 5, 5, 7, 8, 7, 5, 5, 7, 8, 9, 9, 10, 11, 11, 11, 7, 7, 7, 9, 11, 12, 12, 12, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 11, 4, 4, 7, 8, 6, 6, 6, 8, 9, 8, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 6, 7, 4, 4, 7, 8, 6, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 6, 8, 4, 4, 7, 8, 8, 8, 6, 6, 6, 8, 4, 4, 7, 8, 6, 6, 6, 7, 4, 4, 7, 8, 6, 6, 6, 8, 9, 8, 10, 10, 8, 8, 4, 4, 7, 8, 6, 6, 6, 8, 9, 8, 10 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 2, 2, 1, 4, 4, 4, 0, 0, 4, 4, 0, 0, 5, 5, 0, 2, 1, 1, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 7, 2, 2, 0, 0, 9, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 1 ]
[ 1070, 6436, 1188, 319, 203, 1070, 12500, 32, 978, 4785, 1188, 319, 203, 589, 11736, 81, 38758, 26, 10449, 30, 4679, 4160, 47, 2521, 30, 31584, 47, 36, 34, 34, 30, 20698, 47, 39, 34, 34, 711, 291, 1188, 6436, 291, 645, 18414, 32, 22926, 1188, 32758, 291, 645, 6436, 32, 1262, 32, 6844, 955, 1188, 2099, 682, 291, 665, 2290, 81, 12868, 1223, 26, 10449, 30, 4679, 4160, 711, 400, 1188, 18414, 32, 7295, 400, 645, 12500, 32, 696, 360, 1188, 2290, 400, 10084, 280, 225, 38, 34, 400, 19721, 1223, 280, 18414, 32, 7295, 32, 289, 1479, 3413, 26, 3596, 26, 4679, 4160, 710, 108, 785, 6894, 34, 5727, 6474, 81, 891, 47, 39, 27, 848, 10084, 400, 19721, 1223, 280, 6436, 32, 26442, 1162, 10337, 32, 955, 2009, 2700, 5727, 12868, 1223, 30, 10337, 32, 955, 2009, 2700, 25200, 400, 1477, 280, 2290, 26, 12868, 1223, 77, 35, 10056, 549, 3165, 12868, 1223, 77, 34, 5979, 35, 1130, 400, 4719, 280, 2290, 26, 112, 12868, 1223, 77, 35, 10056, 549, 19721, 1223, 77, 34, 5979, 35, 1130, 31, 35, 400, 273, 1366, 280, 46412, 4160, 710, 1003, 8150, 1366, 79, 400, 273, 4048, 280, 46412, 4160, 710, 1003, 8150, 4048, 79, 400, 5417, 280, 6436, 32, 9880, 1162, 34, 471, 12010, 47, 410, 27, 400, 436, 595, 328, 2099, 682, 26, 102, 1366, 32, 891, 711, 715, 595, 35, 280, 11366, 26, 10449, 710, 1003, 785, 31, 102, 1366, 77, 91, 8492, 626, 887, 346, 715, 595, 36, 280, 11366, 26, 10449, 710, 1003, 785, 31, 102, 4048, 77, 91, 8492, 626, 887, 346, 715, 5417, 280, 6436, 32, 26442, 1162, 2875, 30, 16251, 26, 91, 35, 30, 91, 36, 30, 12010, 47, 410, 2610, 400, 442, 5417, 291, 415, 46412, 4160, 438, 646, 1665, 44, 400, 5417, 280, 2290, 81, 12868, 1223, 26, 10449, 30, 4679, 4160, 27, 291, 813, 44, 400, 5417, 280, 2099, 682, 26, 10449, 710, 1003, 5695, 891, 27, 291, 11736, 81, 106, 280, 11736, 710, 106, 8150, 2875, 30, 34, 79, 291, 11736, 81, 107, 280, 11736, 710, 107, 8150, 2875, 30, 34, 79, 291, 11736, 81, 108, 280, 11736, 710, 108, 8150, 2875, 30, 34, 79, 291, 14278, 280, 1769, 26, 10449, 81, 106, 27, 429, 1847, 26, 10449, 81, 106, 27, 291, 42023, 280, 1769, 26, 10449, 81, 107, 27, 429, 1847, 26, 10449, 81, 107, 27, 291, 11921, 280, 14278, 517, 225, 36, 474, 1847, 26, 10449, 81, 106, 27, 291, 1672, 280, 42023, 517, 225, 36, 474, 1847, 26, 10449, 81, 107, 27, 291, 665, 1673, 36869, 26, 106, 30, 10449, 81, 106, 47, 10449, 81, 106, 30, 10449, 81, 107, 47, 10449, 81, 107, 30, 10449, 81, 108, 47, 10449, 81, 108, 30, 31584, 47, 31584, 30, 20698, 47, 20698, 711, 400, 645, 6436, 1188, 17058, 30, 5651, 400, 6674, 81, 106, 280, 11736, 81, 106, 319, 816, 77, 34, 79, 429, 816, 77, 37, 79, 400, 6674, 81, 107, 280, 11736, 81, 107, 319, 816, 77, 35, 79, 429, 816, 77, 38, 79, 400, 6674, 81, 108 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 4, 4, 3, 4, 2, 4, 3, 4, 4, 4, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 2, 2, 3, 4, 5, 3, 3, 2, 2, 3, 4, 5, 4, 5, 5, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 5, 5, 4, 3, 3, 5, 6, 7, 4, 4, 5, 6, 7, 7, 5, 5, 4, 4, 6, 6, 7, 7, 4, 4, 7, 6, 6, 10, 11, 9, 10, 10, 10, 9, 11, 11, 14, 14, 13, 15, 15, 12, 13, 12, 11, 11, 11, 10, 11, 9, 7, 7, 4, 4, 7, 6, 6, 8, 9, 8, 12, 11, 12, 11, 13, 12, 10, 10, 9, 12, 11, 12, 11, 13, 12, 4, 4, 6, 6, 8, 11, 11, 10, 12, 11, 9, 9, 12, 12, 11, 13, 12, 14, 11, 4, 4, 6, 6, 9, 11, 13, 13, 12, 14, 13, 10, 10, 12, 11, 13, 12, 14, 11, 7, 8, 4, 4, 7, 6, 6, 9, 8, 10, 10, 8, 7, 4, 4, 7, 6, 6, 9, 8, 10, 10, 8, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 9, 10, 8, 4, 4, 5, 5, 5, 7, 7, 9, 9, 8, 9, 7, 5, 5, 9, 8, 8, 12, 15, 14, 16, 16, 13, 15, 15, 14, 15, 14, 11, 11, 10, 6, 6, 9, 8, 8, 12, 15, 14, 16, 16, 13, 15, 15, 14, 15, 14, 11, 11, 10, 6, 6, 8, 8, 10, 11, 10, 12, 11, 13, 13, 14, 14, 13, 14, 14, 13, 15, 14, 15, 13, 4, 4, 5, 2, 2, 3, 5, 4, 4, 4, 3, 3, 3, 6, 6, 8, 8, 8, 8, 9, 8, 9, 9, 8, 3, 3, 4, 4, 4, 7, 7, 9, 9, 12, 11, 13, 13, 11, 9, 2, 2, 5, 5, 4, 4, 6, 8, 8, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 8, 8, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 8, 8, 6, 5, 6, 5, 2, 2, 4, 4, 7, 8, 8, 8, 7, 5, 5, 7, 8, 8, 8, 7, 2, 2, 4, 4, 7, 8, 8, 8, 7, 5, 5, 7, 8, 8, 8, 7, 2, 2, 4, 4, 6, 6, 7, 5, 5, 7, 8, 8, 8, 7, 2, 2, 4, 4, 6, 6, 7, 5, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 6, 6, 6, 5, 6, 6, 6, 4, 6, 6, 6, 5, 6, 6, 6, 4, 6, 6, 6, 5, 6, 6, 6, 4, 6, 5, 6, 4, 6, 5, 6, 4, 3, 3, 5, 5, 5, 5, 5, 4, 4, 7, 7, 6, 6, 9, 9, 8, 8, 9, 10, 9, 7, 7, 8, 9, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 8, 9, 10, 9, 7, 7, 8, 9, 8, 4, 4, 7, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 3, 2, 2, 0, 5, 2, 2, 2, 2, 0, 7, 2, 2, 2, 2, 2, 2, 0, 4, 4, 1, 1, 2, 1, 1, 4, 4, 2, 1, 2, 1, 4, 4, 2, 2, 0, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 2, 3, 3, 0, 1, 2, 4, 4, 1, 1, 2, 2, 1, 1, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 4, 1, 0, 0, 0, 3, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 3, 3, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 4, 4, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 3, 2, 1, 4, 4, 10, 10, 10, 0, 1, 0, 0, 1, 2, 1, 10, 10, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 0, 5, 2, 1, 4, 4, 11, 4, 4, 4, 0, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 1, 4, 4, 4, 4, 4, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 4, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 4, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 4, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 12, 1, 2, 1, 2, 0, 0, 0, 3, 2, 2, 2, 2, 0, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 7, 2, 2, 2, 2, 0, 9, 2, 2, 0, 11, 2, 2, 12, 12, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 12023, 32, 2846, 32, 2958, 32, 4156, 1188, 4886, 619, 712, 7972, 81, 9578, 203, 1070, 14785, 32, 12023, 32, 8216, 32, 2958, 32, 8216, 1188, 32360, 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, 3995, 81, 4156, 203, 1070, 14785, 32, 2958, 32, 4156, 1188, 4886, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 894, 203, 823, 11617, 14373, 1006, 26, 858, 32, 7233, 711, 334, 665, 894, 5842, 4735, 26, 784, 711, 284, 7806, 280, 1417, 81, 4156, 32, 10335, 26, 48507, 32, 1808, 37, 36, 27, 284, 623, 630, 32, 23895, 29583, 26, 22239, 30, 330, 6376, 11263, 7831, 397, 32360, 32, 2386, 81, 7927, 26, 8075, 27, 334, 665, 894, 8418, 750, 2207, 26, 784, 711, 284, 7806, 280, 1417, 81, 4156, 32, 10335, 26, 48507, 32, 1808, 37, 36, 30, 6024, 4310, 36, 30, 225, 39, 30, 225, 39, 490, 284, 623, 630, 32, 23895, 29583, 26, 22239, 30, 768, 330, 605, 81, 1643, 1401, 372, 526, 3154, 489, 1405, 73, 556, 489, 14633, 53, 32, 7831, 397, 32360, 32, 2386, 81, 7927, 26, 8075, 30, 706, 81, 1643, 1057, 64, 15364, 73, 683, 334, 665, 894, 2778, 4735, 1337, 32294, 12421, 64, 1405, 73, 26, 784, 711, 284, 7806, 280, 1417, 81, 4156, 32, 10335, 26, 48507, 32, 1808, 37, 36, 30, 6024, 4310, 37, 30, 1665, 30, 225, 38, 490, 284, 623, 630, 32, 23895, 29583, 26, 22239, 30, 330, 6376, 11022, 8742, 7831, 397, 32360, 32, 2386, 81, 7927, 26, 8075, 30, 706, 81, 1643, 1057, 64, 1405, 73, 683, 334, 665, 894, 2778, 4735, 1337, 32294, 12421, 64, 14633, 53, 26, 784, 711, 284, 7806, 280, 1417, 81, 4156, 32, 10335, 26, 48507, 32, 1808, 37, 36, 30, 6024, 4310, 37, 30, 225, 38, 30, 1665, 490, 284, 623, 630, 32, 23895, 29583, 26, 22239, 30, 330, 6376, 11022, 8742, 7831, 397, 32360, 32, 2386, 81, 7927, 26, 8075, 30, 706, 81, 1643, 1057, 64, 14633, 53, 683, 334, 665, 894, 1922, 3397, 26, 784, 711, 284, 2384, 30, 1861, 280, 225, 37, 30, 225, 37, 284, 5703, 280, 3995, 81, 4156, 32, 3855, 81, 10586, 1162, 39, 30, 2384, 30, 1861, 30, 225, 37, 471, 9124, 47, 35, 27, 284, 1688, 280, 32360, 32, 2386, 81, 7927, 26, 2242, 27, 284, 1459, 463, 426, 44, 5769, 1688, 32, 520, 32, 426, 27, 284, 630, 32, 862, 28582, 26, 291, 1688, 32, 520, 32, 426, 30, 330, 1810, 14373, 33, 2325, 1964, 272, 494, 683, 284, 630, 32, 862, 720, 1324, 2009, 39, 30, 2384, 30, 1861, 30, 225, 37, 614, 1688, 32, 3229, 32, 302, 81, 668, 1157, 334, 665, 894, 1922, 3397, 3670, 40, 38, 26, 784, 711, 284, 2384, 30, 1861, 280, 225, 37, 30, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 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, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 9, 10, 10, 9, 10, 9, 9, 11, 11, 11, 5, 5, 9, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 11, 10, 10, 11, 10, 10, 11, 10, 4, 4, 5, 9, 10, 10, 9, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 11, 11, 10, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 11, 10, 10, 10, 10, 11, 10, 4, 4, 5, 9, 10, 10, 9, 10, 9, 9, 11, 11, 11, 11, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 11, 11, 10, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 11, 10, 10, 11, 10, 10, 10, 4, 4, 5, 9, 10, 10, 9, 10, 9, 9, 11, 11, 11, 11, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 11, 11, 10, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 7, 7, 8, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 8, 10, 9, 9, 9, 9, 9, 9, 10, 9, 8, 9, 10, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 9, 9, 9, 7, 9, 10, 8, 9, 7, 4, 4, 7, 8, 8, 7, 7, 7, 9, 10, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 8, 8, 8, 8, 8, 8, 9, 8, 7, 10, 11, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 1, 6, 1, 8, 4, 4, 3, 3, 2, 2, 2, 0, 5, 5, 1, 2, 1, 4, 1, 6, 1, 8, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 1, 2, 0, 1, 2, 2, 11, 11, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 2, 2, 3, 2, 2, 5, 2, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 2, 2, 2, 2, 5, 2, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 2, 2, 3, 2, 2, 2, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 3, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 0, 2, 0, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2 ]
[ 465, 5741, 203, 465, 27374, 203, 465, 316, 203, 465, 13625, 203, 465, 9804, 102, 203, 465, 3738, 203, 465, 17787, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 10702, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 4733, 7161, 81, 1460, 4238, 280, 428, 268, 32, 6993, 26, 106, 27, 436, 816, 328, 2107, 80, 3424, 2958, 36, 32, 41, 3424, 37143, 25366, 3424, 46, 2493, 81, 1126, 48, 3424, 37143, 25366, 3424, 2493, 81, 687, 81, 1473, 3424, 37143, 2476, 25366, 3424, 16520, 725, 33, 1617, 3424, 37143, 25366, 3424, 1851, 81, 3034, 81, 4018, 3424, 22, 18038, 203, 14261, 70, 81, 25985, 1392, 280, 1605, 203, 14421, 81, 26791, 280, 13625, 32, 1536, 2665, 26, 668, 27, 203, 589, 12847, 81, 1851, 81, 3034, 26, 2225, 81, 426, 711, 284, 1779, 81, 1851, 81, 3034, 280, 428, 1744, 436, 3118, 328, 27374, 32, 8281, 81, 3034, 346, 5556, 415, 646, 1346, 26, 1582, 32, 2872, 26, 1744, 77, 34, 1130, 436, 2834, 328, 11752, 7161, 81, 1460, 4238, 2177, 284, 1158, 81, 1851, 81, 3034, 280, 34873, 2524, 26, 35382, 32, 1643, 81, 668, 26, 1433, 81, 1851, 81, 3034, 490, 284, 665, 617, 3163, 81, 371, 81, 17872, 26, 2225, 81, 426, 711, 16189, 438, 81, 823, 81, 266, 81, 33867, 81, 17095, 280, 1560, 26, 14261, 70, 81, 25985, 1392, 461, 17787, 32, 297, 823, 26, 2225, 81, 426, 27, 461, 11244, 438, 39288, 26, 2225, 81, 426, 30, 8825, 26, 14261, 70, 81, 25985, 1392, 6448, 35, 25200, 291, 438, 81, 1126, 81, 266, 81, 33867, 81, 17095, 280, 1560, 26, 14261, 70, 81, 25985, 1392, 461, 646, 17787, 32, 297, 823, 26, 2225, 81, 426, 27, 461, 3391, 1346, 1162, 2225, 81, 426, 3667, 426, 505, 610, 816, 3667, 426, 505, 461, 2270, 4422, 81, 426, 3667, 1647, 505, 610, 816, 3667, 1647, 8223, 4180, 436, 816, 328, 8825, 26, 14261, 70, 81, 25985, 1392, 6448, 35, 25200, 291, 438, 81, 1393, 81, 4108, 280, 17704, 70, 81, 25985, 1392, 461, 17704, 70, 81, 25985, 1392, 6448, 35, 79, 438, 1665, 291, 415, 438, 81, 1393, 81, 4108, 44, 324, 442, 3177, 291, 415, 646, 1779, 81, 1851, 81, 3034, 44, 324, 442, 3177, 291, 415, 17704, 70, 81, 25985, 1392, 44, 324, 415, 438, 81, 823, 81, 266, 81, 33867, 81, 17095, 556, 438, 81, 1126, 81, 266, 81, 33867, 81, 17095, 44, 400, 442, 3177, 324, 813, 44, 400, 442, 1779, 81, 1851, 81, 3034, 646, 328, 47411, 81, 26791, 77, 2225, 81, 426, 79, 291, 813, 44, 324, 442, 1779, 81, 1851, 81, 3034, 646, 328, 47411, 81, 26791, 77, 2225, 81, 426, 79, 284, 415, 617, 3163, 81, 371, 81, 17872, 26, 2225, 81, 426, 711, 291, 47411, 81, 26791, 77, 2225, 81, 426, 997, 1689, 26, 1433, 81, 1851, 81, 3034, 27, 291, 415, 17787, 32, 297, 823, 26, 2225, 81, 426, 711, 324, 1245, 32, 1338, 440, 11161, 537, 1476, 4138, 1451, 904, 101, 436, 904, 101, 3491, 96, 904, 101, 392, 2069, 26, 14421, 81, 26791 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 6, 5, 6, 5, 6, 5, 3, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 5, 5, 4, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 5, 6, 6, 6, 8, 9, 9, 9, 8, 5, 5, 6, 7, 9, 12, 11, 12, 11, 13, 12, 13, 12, 9, 10, 10, 10, 11, 11, 11, 11, 9, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 9, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 11, 11, 11, 11, 11, 10, 10, 12, 13, 13, 12, 13, 13, 13, 12, 9, 9, 9, 11, 11, 12, 12, 12, 11, 11, 13, 15, 15, 15, 15, 15, 14, 16, 14, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 11, 11, 11, 11, 11, 10, 10, 11, 13, 14, 14, 13, 14, 14, 14, 13, 9, 9, 9, 11, 16, 16, 16, 15, 16, 16, 14, 14, 15, 16, 16, 13, 13, 13, 16, 16, 15, 16, 16, 14, 14, 15, 16, 16, 11, 11, 12, 12, 12, 14, 16, 16, 16, 16, 16, 15, 17, 15, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 7, 7, 10, 10, 10, 10, 9, 11, 9, 8, 8, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 7, 4, 4, 5, 6, 7, 7, 7, 7, 5, 5, 5, 7, 4, 4, 5, 6, 6, 6, 6, 5, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 7, 7, 8, 8, 8, 10, 12, 12, 12, 12, 11, 11, 11, 13, 13, 12, 13, 13, 13, 12, 5, 5, 6, 6, 6, 8, 10, 10, 10, 10, 9, 9, 9, 11, 11, 10, 11, 11, 11, 10, 2, 2, 3, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 3, 3, 9, 9, 8, 9, 9, 9, 8, 8, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 7, 8, 8, 7, 8, 8, 8, 7, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11, 9, 11, 13, 13, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 12, 12, 1, 1, 1, 1, 2, 1, 1, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 3, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 4, 4, 3, 1, 1, 1, 1, 3, 3, 3, 0, 4, 4, 4, 1, 1, 1, 1, 1, 4, 4, 4, 0, 4, 4, 5, 1, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 5, 5, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 4, 4, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0 ]
[ 465, 6971, 81, 28778, 619, 43869, 203, 465, 6971, 81, 41122, 619, 309, 5974, 203, 98, 754, 3531, 280, 7915, 1693, 31, 7365, 769, 314, 47, 28778, 44, 10923, 769, 12076, 15579, 43869, 44, 35, 36, 41, 32, 34, 32, 34, 32, 35, 15792, 3624, 313, 474, 766, 203, 202, 20, 287, 21355, 47, 2958, 769, 496, 47, 699, 769, 2895, 47, 2895, 20, 203, 2403, 35, 280, 43869, 32, 25622, 1070, 4316, 440, 4678, 1326, 392, 225, 38, 34, 35, 30, 603, 202, 1017, 18278, 18250, 43869, 3439, 12494, 202, 10444, 18278, 8466, 3439, 603, 202, 5243, 81, 11642, 18278, 18906, 73, 31, 33752, 44, 36272, 24482, 4083, 2958, 5984, 21872, 4083, 35, 21328, 79, 18205, 202, 27, 203, 2403, 36, 280, 43869, 32, 25622, 1070, 4316, 440, 3472, 11322, 392, 225, 38, 34, 35, 30, 603, 202, 1017, 18278, 18250, 43869, 392, 313, 8466, 392, 313, 17659, 4083, 35, 21328, 614, 12494, 202, 10444, 18278, 8466, 14656, 1736, 101, 1736, 69, 6155, 8466, 1924, 614, 603, 202, 5243, 81, 11642, 18278, 18906, 73, 31, 33752, 44, 36272, 24482, 4083, 2958, 5984, 21872, 4083, 36, 5984, 35639, 47, 1508, 1446, 18205, 202, 27, 203, 2403, 37, 280, 43869, 32, 25622, 1070, 4316, 440, 5064, 11322, 11322, 392, 225, 38, 34, 35, 30, 603, 202, 1017, 18278, 18250, 43869, 392, 313, 8466, 392, 313, 17659, 4083, 36, 21328, 614, 12494, 202, 10444, 18278, 8466, 14656, 1736, 101, 1736, 69, 6155, 8466, 1924, 614, 603, 202, 5243, 81, 11642, 18278, 18906, 73, 31, 33752, 44, 36272, 24482, 4083, 2958, 5984, 21872, 4083, 37, 5984, 35639, 47, 1508, 1446, 603, 202, 27, 203, 2403, 38, 280, 43869, 32, 25622, 1070, 4316, 440, 24165, 11322, 392, 225, 38, 34, 35, 30, 603, 202, 1017, 18278, 18250, 43869, 392, 313, 8466, 392, 313, 17659, 4083, 37, 21328, 614, 12494, 202, 10444, 18278, 8466, 14656, 1736, 101, 1736, 69, 6155, 8466, 1924, 614, 603, 202, 5243, 81, 11642, 18278, 18906, 73, 31, 33752, 44, 36272, 24482, 4083, 2958, 5984, 21872, 4083, 38, 5984, 35639, 47, 1508, 3439, 603, 202, 2358, 347, 66, 4624, 2027, 81, 55, 9036, 635, 14348, 7498, 20, 18205, 202, 27, 203, 12084, 1070, 81, 4687, 280, 43869, 32, 25622, 1070, 11812, 440, 5288, 14539, 11322, 308, 1786, 7658, 101, 623, 35639, 47, 1508, 27, 3003, 28125, 298, 754, 3531, 30, 428, 2403, 35, 30, 3616, 36, 30, 3616, 37, 30, 3616, 38, 1130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 2, 2, 0, 1, 1, 4, 4, 2, 2, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 4, 5, 5, 5, 4, 4, 4, 6, 5, 8, 8, 8, 4, 4, 6, 5, 8, 8, 4, 4, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 9, 6, 4, 4, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 4, 5, 5, 5, 4, 4, 4, 6, 5, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 9, 6, 4, 4, 6, 5, 8, 8, 9, 8, 9, 8, 8, 8, 8, 6, 4, 4, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 4, 4, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 6, 4, 5, 5, 5, 4, 4, 4, 6, 5, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 9, 6, 4, 4, 6, 5, 8, 8, 9, 8, 9, 8, 8, 8, 8, 6, 4, 4, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 4, 4, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 4, 5, 5, 5, 4, 4, 4, 6, 5, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 9, 6, 4, 4, 6, 5, 8, 8, 9, 8, 9, 8, 8, 8, 8, 6, 4, 4, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 4, 4, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 4, 4, 6, 6, 5, 5, 6, 5, 5, 6, 5, 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 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 0, 5, 1, 1, 2, 1, 1, 0, 7, 1, 2, 1, 1, 0, 0, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 0, 5, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 7, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 0, 5, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 7, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 0, 5, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 7, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 0, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3872, 32, 7224, 9353, 32, 6997, 11606, 4455, 1188, 3872, 11606, 203, 1070, 3872, 32, 17935, 32, 30141, 959, 1761, 1188, 22786, 959, 1761, 203, 940, 1812, 2033, 280, 225, 35, 203, 940, 13576, 647, 280, 225, 36, 203, 940, 1726, 15438, 264, 280, 225, 37, 203, 940, 11700, 262, 280, 225, 38, 261, 203, 940, 33193, 261, 280, 225, 39, 261, 203, 940, 6533, 264, 280, 225, 40, 203, 823, 22786, 959, 26779, 26, 30141, 959, 1761, 711, 284, 11748, 280, 3872, 11606, 32, 890, 4220, 440, 30141, 959, 26779, 657, 284, 665, 1156, 1664, 3207, 784, 30, 5564, 711, 291, 1201, 630, 32, 9353, 32, 2811, 1078, 1853, 26, 784, 27, 291, 1596, 44, 324, 630, 32, 30141, 959, 26779, 81, 16165, 291, 2940, 44, 324, 630, 32, 30141, 959, 26779, 81, 16165, 280, 225, 35, 324, 22786, 959, 1761, 3667, 1664, 3207, 784, 30, 5564, 27, 324, 630, 32, 2480, 1078, 280, 15107, 1812, 284, 415, 1156, 2811, 26927, 291, 665, 2287, 26, 784, 30, 10525, 47, 34, 711, 324, 13922, 1057, 330, 8088, 9378, 29, 36, 27, 324, 1596, 44, 400, 1459, 5461, 101, 23, 101, 1924, 42668, 528, 330, 13838, 9378, 30, 630, 3667, 823, 29215, 426, 8223, 400, 1459, 5461, 101, 1070, 22786, 959, 26779, 745, 606, 6069, 101, 30, 2935, 6069, 101, 30, 10790, 6069, 101, 15860, 26, 528, 13922, 30, 528, 630, 32, 1409, 606, 30, 630, 32, 38883, 30, 630, 32, 5634, 606, 471, 400, 5736, 19066, 400, 415, 630, 32, 2480, 1078, 610, 15107, 6533, 44, 528, 5736, 32, 1689, 440, 6398, 657, 400, 415, 630, 32, 2480, 1078, 333, 15107, 33193, 44, 528, 5736, 32, 1689, 440, 7073, 657, 400, 415, 2069, 26, 4545, 711, 528, 1459, 313, 7846, 101, 4731, 23, 440, 4939, 2524, 26, 4545, 471, 471, 400, 1459, 324, 2940, 3268, 30, 484, 44, 1459, 5461, 509, 5782, 23582, 2287, 15860, 26, 8732, 28020, 484, 284, 665, 622, 8211, 3410, 1534, 26, 784, 711, 291, 442, 225, 34, 284, 665, 3066, 1527, 8211, 26, 784, 711, 291, 630, 32, 5820, 26099, 8575, 2185, 3410, 346, 284, 665, 7378, 26099, 8575, 2185, 3410, 26, 784, 711, 291, 630, 32, 5820, 2185, 26099, 8575, 346, 291, 630, 32, 2560, 346, 284, 665, 7378, 2185, 26099, 8575, 26, 784, 711, 291, 415, 630, 32, 2480, 1078, 863, 15107, 11700, 44, 324, 630, 32, 2480, 1078, 280, 15107, 1726, 15438, 324, 15224, 13224, 32, 2714, 26, 784, 32, 5665, 558, 440, 5820, 2131, 324, 630, 32, 5820, 346, 284, 665, 46776, 10505, 26, 784, 711, 291, 1201, 630, 32, 9353, 32, 2811, 463, 18023, 10505, 2262, 904, 101, 25, 904, 308, 784, 32, 1409, 606, 490, 284, 665, 7378, 26, 784, 711, 291, 1201, 630, 32, 9353, 32, 2811, 463, 5820, 2262, 904, 101, 25, 904, 308, 784, 32, 1409, 606, 490, 291, 415, 630, 32, 2480, 1078, 863, 15107, 11700, 44, 324, 630, 32, 2480, 1078, 280, 15107, 11700, 284, 665, 438, 11700, 26, 784, 711, 291, 442, 308, 784, 32, 2480, 1078, 333, 15107, 33193, 27, 284, 665, 438 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 3, 2, 2, 2, 3, 0, 3, 3, 2, 2, 2, 3, 0, 3, 3, 3, 2, 2, 2, 3, 0, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 2, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 7, 6, 7, 7, 6, 8, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 5, 5, 5, 8, 9, 9, 9, 9, 9, 5, 5, 6, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 10, 7, 7, 11, 11, 10, 11, 11, 11, 10, 10, 10, 7, 7, 10, 11, 11, 9, 9, 10, 2, 2, 3, 4, 4, 3, 3, 5, 6, 7, 6, 6, 7, 8, 6, 5, 5, 8, 11, 9, 12, 11, 12, 10, 6, 6, 7, 7, 7, 9, 12, 12, 12, 12, 10, 11, 11, 14, 13, 11, 11, 13, 14, 14, 13, 13, 8, 8, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 12, 13, 13, 11, 11, 12, 13, 11, 11, 12, 13, 13, 11, 8, 8, 10, 8, 8, 9, 11, 12, 12, 10, 10, 11, 9, 9, 9, 13, 14, 13, 15, 15, 8, 8, 9, 11, 12, 12, 10, 10, 11, 9, 9, 9, 13, 14, 13, 15, 15, 8, 8, 9, 11, 12, 11, 9, 9, 11, 14, 14, 14, 12, 13, 17, 16, 15, 16, 15, 13, 8, 8, 7, 7, 8, 8, 8, 8, 8, 10, 13, 13, 13, 13, 13, 12, 13, 12, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 6, 6, 7, 5, 5, 5, 9, 10, 10, 8, 8, 9, 9, 6, 6, 10, 9, 10, 9, 12, 11, 12, 12, 11, 13, 13, 6, 6, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 10, 8, 8, 11, 10, 11, 11, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 8, 8, 11, 10, 11, 11, 9, 4, 4, 5, 7, 8, 8, 6, 6, 7, 5, 5, 5, 9, 10, 10, 8, 8, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 8, 9, 9, 7, 7, 8, 6, 2, 2, 3 ]
[ 0, 0, 1, 2, 2, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 8, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 4, 4, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 4, 4, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 2, 0, 2, 2, 3, 0, 2, 2, 1, 1, 2, 3, 3, 3, 0, 2, 1, 1, 2, 2, 2, 4, 0, 2, 2, 1, 1, 2, 4, 4, 4, 0, 2, 1, 1, 2, 2, 2, 5, 1, 1, 1, 5, 5, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 3, 3, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 3, 3, 0, 2, 1, 4, 4, 7, 1, 2, 1, 2, 7, 7, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 4, 4, 8, 2, 1, 2, 8, 8, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 4, 4, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 4, 4, 9, 1, 2, 1, 2, 9, 9, 0, 0, 0, 2, 2, 1, 1, 2, 1, 4, 4, 10 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 1188, 10869, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 18548, 81, 466, 203, 465, 4395, 203, 1070, 46624, 32, 4280, 1188, 7096, 81, 203, 465, 345, 4430, 32, 2851, 32, 4882, 203, 1070, 345, 4430, 32, 35967, 32, 20510, 1188, 4096, 81, 18779, 81, 35967, 203, 1070, 345, 4430, 32, 35967, 32, 3378, 1188, 15054, 203, 1070, 345, 4430, 32, 2851, 32, 18972, 1188, 15124, 203, 1070, 345, 4430, 32, 1840, 7491, 32, 3378, 1188, 2222, 267, 1240, 203, 1070, 345, 4430, 32, 3707, 32, 3378, 1188, 2680, 4290, 203, 50, 3613, 32, 2675, 32, 1473, 26, 3550, 30, 330, 19602, 81, 18688, 81, 17945, 370, 2933, 27, 203, 823, 2108, 4477, 25264, 45698, 26, 95, 4430, 32, 2851, 32, 4882, 32, 7233, 711, 284, 37743, 280, 15124, 463, 3707, 683, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 725, 280, 345, 4430, 32, 2851, 32, 4882, 32, 725, 81, 5792, 26, 426, 1057, 858, 683, 291, 630, 32, 725, 36, 280, 345, 4430, 32, 2851, 32, 4882, 32, 725, 81, 5792, 26, 426, 1057, 858, 36, 683, 291, 630, 32, 496, 280, 2680, 4290, 32, 5740, 32, 371, 26, 1935, 1057, 16343, 50, 16415, 32, 508, 683, 291, 2222, 267, 1240, 32, 5740, 32, 1297, 26, 16662, 47, 784, 32, 725, 30, 1256, 47, 784, 32, 496, 27, 291, 2222, 267, 1240, 32, 5740, 32, 1297, 26, 16662, 47, 784, 32, 725, 36, 30, 1256, 47, 784, 32, 496, 27, 284, 665, 894, 81, 28693, 81, 1704, 307, 81, 541, 26, 784, 711, 291, 630, 32, 725, 35, 81, 6212, 280, 15054, 32, 5740, 32, 1297, 26, 324, 30897, 47, 784, 32, 725, 30, 1256, 47, 784, 32, 496, 30, 16802, 47, 35, 30, 324, 3361, 1057, 101, 1662, 30, 439, 2637, 1672, 17564, 1751, 11834, 291, 630, 32, 725, 35, 81, 6212, 32, 1877, 26, 4524, 47, 784, 32, 6124, 81, 13646, 26, 35, 490, 291, 4096, 81, 18779, 81, 35967, 346, 291, 7096, 5908, 1657, 26, 2200, 32, 541, 1501, 471, 225, 35, 27, 291, 7096, 5908, 2200, 32, 541, 1501, 77, 34, 997, 452, 30, 428, 784, 32, 496, 32, 1935, 1130, 291, 7096, 5908, 466, 26, 784, 32, 725, 35, 81, 6212, 32, 1548, 27, 328, 18548, 81, 466, 26, 2200, 32, 541, 1501, 77, 34, 997, 1548, 471, 2933, 27, 284, 665, 894, 81, 658, 81, 1935, 81, 979, 81, 12565, 81, 17288, 26, 784, 711, 291, 630, 32, 725, 36, 81, 6212, 280, 15054, 32, 5740, 32, 1297, 26, 324, 30897, 47, 784, 32, 725, 36, 30, 1256, 47, 784, 32, 496, 30, 16802, 47, 38, 30, 324, 3361, 1057, 105, 8426, 432, 3134, 6791, 432, 1672, 12535, 11834, 291, 630, 32, 725, 36, 81, 6212, 32, 1877, 26, 4524, 47, 784, 32, 6124, 81, 13646, 26, 35, 490, 291, 630, 32, 725, 36, 81, 6212, 36, 280, 15054, 32, 5740, 32, 1297, 26, 324, 30897, 47, 784, 32, 725, 36, 30, 1256, 47, 784, 32, 496, 30, 16802, 47, 39, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 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, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 2, 6, 5, 6, 4, 5, 4, 5, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 1, 2, 2, 3, 3, 3, 3, 7, 7, 6, 7, 5, 6, 4, 5, 3, 2, 2, 5, 5, 7, 9, 9, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 7, 7, 12, 11, 12, 10, 11, 9, 10, 10, 10, 9, 11, 10, 12, 12, 5, 5, 8, 9, 9, 7, 7, 12, 11, 12, 10, 11, 9, 10, 10, 10, 9, 11, 10, 12, 12, 12, 5, 5, 8, 9, 7, 7, 11, 10, 11, 9, 10, 9, 11, 10, 12, 12, 12, 12, 12, 12, 5, 5, 10, 10, 9, 10, 8, 9, 8, 10, 9, 11, 10, 11, 8, 8, 9, 11, 10, 11, 8, 5, 5, 10, 10, 9, 10, 8, 9, 8, 10, 9, 11, 10, 11, 11, 8, 8, 9, 11, 10, 11, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 9, 9, 7, 7, 10, 11, 9, 10, 9, 9, 9, 10, 12, 11, 12, 9, 9, 10, 12, 11, 12, 9, 9, 10, 11, 9, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 9, 10, 10, 10, 10, 8, 9, 8, 10, 9, 12, 11, 12, 12, 12, 11, 12, 11, 5, 5, 8, 8, 8, 8, 8, 5, 5, 8, 10, 10, 12, 11, 12, 12, 10, 8, 9, 8, 5, 5, 8, 12, 11, 12, 12, 10, 11, 10, 10, 8, 8, 12, 11, 12, 10, 11, 9, 5, 5, 8, 11, 11, 14, 13, 14, 14, 14, 14, 12, 13, 11, 9, 9, 11, 11, 11, 15, 14, 15, 15, 13, 14, 13, 13, 11, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 9, 9, 7, 7, 10, 11, 9, 10, 9, 9, 9, 10, 12, 11, 12, 12, 9, 9, 10, 12, 11, 12, 9, 9, 10, 11, 9, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 9, 10, 10, 10, 10, 8, 9, 8, 10, 9, 12, 11, 12, 12, 12, 11, 12, 11, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 10, 11, 9, 10, 9, 9, 9, 10, 12, 11, 12, 12, 9, 9, 10, 12, 11, 12, 9, 9, 10, 11, 9 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 9, 9, 0, 1, 2, 2, 1, 4, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 3, 0, 2, 2, 1, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 1, 0, 1, 2, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 3, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 3, 0, 2, 2, 1, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 3, 0, 2, 2, 1, 1, 5, 2, 1 ]
[ 9592, 203, 1304, 74, 4307, 7616, 284, 1348, 3541, 438, 23184, 810, 322, 546, 2123, 461, 506, 12036, 619, 23539, 31, 14600, 32, 291, 1913, 555, 15475, 32, 1088, 33, 4188, 33, 25415, 31, 2077, 32, 2760, 284, 2640, 308, 85, 27, 225, 36, 34, 35, 36, 30, 3139, 2371, 5022, 305, 8837, 333, 1347, 2371, 50, 1347, 2371, 32, 1088, 48, 284, 13591, 21801, 2823, 6131, 30, 8118, 30, 24107, 30, 3114, 33, 758, 9448, 36626, 9315, 8964, 5415, 4786, 2964, 284, 7755, 8848, 1878, 4197, 506, 4153, 2756, 33455, 6265, 570, 2569, 23913, 30, 10072, 5596, 722, 2890, 399, 3183, 2478, 284, 8994, 15088, 3114, 8964, 13591, 21801, 15088, 14789, 1304, 783, 1236, 11865, 3366, 1164, 940, 32, 284, 2890, 5415, 2756, 10072, 313, 1099, 2756, 20, 3114, 2890, 29480, 48954, 69, 11865, 3901, 284, 8848, 11752, 7863, 2823, 8964, 5415, 9989, 11865, 8461, 3901, 2241, 284, 7930, 3114, 8108, 32, 1236, 4435, 8452, 10184, 2890, 29480, 6744, 10390, 4786, 284, 2964, 17105, 30, 14718, 30, 17643, 30, 1878, 17623, 10049, 1878, 2964, 10049, 284, 47419, 3629, 55, 1971, 20336, 1392, 3753, 17898, 2241, 6131, 30, 9591, 1878, 17929, 30, 10466, 1236, 1737, 284, 8301, 2241, 10314, 30, 18124, 1878, 6064, 46169, 1926, 65, 2045, 8301, 30, 10478, 6995, 2241, 284, 1878, 1236, 13401, 8848, 2890, 6131, 1878, 13591, 43820, 2241, 8964, 5415, 32, 203, 9592, 203, 465, 6350, 203, 465, 7060, 203, 7295, 32, 7295, 26, 7295, 32, 14840, 1405, 7118, 30, 7060, 32, 14840, 81, 3479, 27, 203, 1216, 26, 7621, 32, 371, 2024, 3247, 1771, 33, 3246, 429, 94, 2847, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 0, 4, 3, 4, 3, 5, 4, 5, 5, 5, 3, 3, 4, 5, 5, 5, 3, 0, 3, 3, 6, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 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, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 5036, 1188, 308, 750, 30, 3891, 27, 203, 1070, 40475, 1188, 18674, 203, 465, 26313, 203, 465, 1133, 203, 465, 5741, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 4237, 6861, 26, 1473, 711, 284, 5881, 959, 372, 2164, 1202, 298, 6071, 48256, 284, 665, 2164, 81, 1131, 26, 784, 30, 1509, 1151, 711, 291, 5881, 31955, 2702, 1692, 32, 291, 9043, 442, 619, 8117, 619, 4195, 32, 225, 6204, 1133, 31, 39270, 299, 8202, 291, 1395, 526, 3390, 328, 4674, 3664, 32, 291, 477, 753, 1509, 1151, 3903, 372, 2164, 32, 291, 477, 601, 2933, 415, 1692, 1597, 30647, 30, 556, 3177, 415, 10302, 32, 291, 5881, 291, 442, 3177, 203, 823, 4237, 1151, 26, 1473, 711, 284, 5881, 1151, 3272, 810, 312, 1202, 11326, 556, 3621, 48256, 284, 665, 1156, 1664, 3207, 784, 30, 3610, 1078, 30, 31179, 30, 5036, 3211, 30, 5036, 1386, 711, 291, 5881, 26001, 600, 4237, 1151, 32, 291, 477, 753, 3610, 1078, 5025, 2670, 1692, 18659, 32, 291, 477, 753, 31179, 5025, 2685, 1692, 18659, 32, 291, 477, 753, 5036, 3211, 20257, 16381, 21394, 32, 291, 477, 753, 5036, 1386, 1224, 1269, 12546, 810, 458, 1692, 32, 291, 5881, 291, 630, 32, 1455, 1078, 280, 3610, 1078, 291, 630, 32, 42099, 280, 31179, 291, 630, 32, 3494, 3211, 280, 5036, 3211, 291, 630, 32, 3494, 1386, 280, 5036, 1386, 203, 823, 5025, 26, 1473, 711, 284, 5881, 3059, 1603, 432, 14129, 48256, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 3667, 3494, 3211, 280, 739, 346, 284, 665, 617, 605, 81, 452, 81, 3494, 81, 89, 81, 363, 81, 95, 26, 784, 30, 706, 711, 291, 5881, 609, 11217, 312, 570, 33, 63, 5036, 706, 2652, 372, 312, 739, 432, 5036, 3417, 619, 291, 21394, 810, 561, 32, 291, 5881, 291, 415, 2069, 26, 605, 27, 863, 225, 38, 556, 706, 77, 34, 79, 863, 225, 36, 44, 324, 3636, 10091, 440, 1206, 312, 10151, 23860, 1202, 6882, 44, 313, 474, 596, 26, 605, 490, 291, 3502, 280, 225, 34, 106, 38, 34, 34, 34, 34, 34, 291, 2738, 1402, 280, 706, 77, 37, 79, 1264, 225, 35, 40, 523, 706, 77, 36, 79, 1264, 225, 42, 523, 706, 77, 35, 79, 291, 5036, 280, 1605, 291, 2218, 2738, 1402, 863, 3502, 44, 324, 2431, 51, 953, 280, 3177, 324, 436, 909, 328, 2398, 32, 13945, 5037, 32, 3494, 2262, 400, 415, 909, 549, 2738, 1402, 610, 909, 44, 528, 2738, 1402, 21575, 909, 528, 5036, 32, 1689, 26, 750, 32, 13945, 5037, 77, 695, 1130, 528, 2431, 51, 953, 280, 2933, 324, 415, 646, 2431, 51, 953, 44, 400, 3636, 10091, 440, 34755, 485, 33, 95, 1202, 6882, 44, 313, 474, 715, 596, 26, 605, 490, 291, 442, 739, 26, 3494, 27, 291, 630, 3667, 3494, 3211, 280, 739, 346, 284, 665, 617, 605, 81, 452, 81, 3494, 81, 86, 26, 784, 30, 706, 711, 291, 5881, 609, 11217, 312, 475, 706, 2652, 372, 312, 739, 432, 5036, 3417, 619, 291, 21394, 810, 561, 32, 291, 5881, 291, 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, 3, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 9, 10, 9, 7, 7, 8, 6, 6, 8, 9, 8, 7, 7, 8, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 13, 12, 4, 4, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 6, 6, 10, 11, 10, 9, 9, 10, 10, 8, 8, 10, 11, 10, 9, 9, 10, 7, 7, 8, 9, 8, 4, 4, 6, 6, 4, 4, 5, 7, 6, 6, 5, 5, 5, 9, 9, 8, 8, 6, 6, 7, 7, 7, 10, 11, 11, 9, 10, 9, 7, 7, 9, 11, 11, 12, 10, 10, 9, 9, 9, 13, 12, 12, 10, 10, 13, 14, 13, 16, 15, 16, 16, 14, 15, 14, 10, 10, 13, 13, 12, 12, 6, 6, 7, 8, 9, 9, 7, 7, 7, 9, 11, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 12, 14, 15, 14, 4, 4, 5, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 6, 6, 1, 2, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 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, 4, 4, 1, 0, 7, 7, 1, 2, 1, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 7, 2, 2, 9, 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, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 0, 8, 8, 2, 1, 2, 8, 8, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 4, 4, 5, 0, 1, 1, 5, 5, 5, 0, 0, 0, 0, 3, 3, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 3, 3, 0, 0, 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, 4, 4, 6, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4 ]
[ 465, 408, 1537, 285, 7007, 619, 4125, 203, 465, 5167, 203, 823, 6287, 26, 1473, 711, 284, 665, 636, 26, 784, 711, 291, 442, 630, 3667, 823, 29215, 426, 9818, 5729, 346, 284, 665, 617, 371, 26, 784, 30, 1519, 30, 2803, 47, 2521, 711, 291, 442, 630, 32, 1357, 463, 2788, 370, 1519, 30, 2803, 27, 284, 665, 617, 1526, 26, 784, 30, 1519, 30, 2803, 47, 2521, 711, 291, 442, 630, 32, 1357, 463, 3705, 370, 1519, 30, 2803, 27, 284, 665, 617, 2560, 26, 784, 30, 1519, 30, 2803, 47, 2521, 711, 291, 442, 630, 32, 1357, 463, 6691, 370, 1519, 30, 2803, 27, 284, 477, 16099, 284, 665, 1326, 26, 1959, 30, 1519, 30, 2803, 47, 2521, 711, 291, 1984, 280, 4125, 32, 965, 32, 38848, 24667, 474, 1519, 291, 706, 280, 5053, 2132, 25, 415, 1411, 328, 2107, 2788, 370, 330, 6691, 785, 813, 330, 1260, 950, 2803, 111, 291, 5127, 280, 5167, 32, 1357, 26, 1959, 30, 1984, 30, 3796, 4310, 1237, 32, 2055, 81, 678, 30, 12304, 1115, 605, 27, 291, 2361, 280, 5127, 32, 1260, 346, 291, 415, 5127, 32, 1517, 81, 687, 610, 225, 36, 34, 34, 44, 324, 442, 2361, 291, 1048, 280, 2361, 32, 371, 463, 731, 683, 291, 415, 1048, 438, 1665, 44, 324, 3636, 4125, 32, 3091, 305, 285, 8691, 984, 463, 4292, 1048, 370, 1665, 30, 2361, 30, 1665, 30, 1665, 27, 291, 3636, 4125, 32, 3091, 305, 285, 8691, 984, 26, 731, 32, 371, 463, 681, 1425, 1048, 32, 371, 463, 687, 1425, 1048, 32, 371, 463, 1436, 1425, 10000, 1048, 32, 371, 463, 13218, 81, 314, 1425, 1048, 32, 371, 463, 34793, 81, 5275, 81, 314, 2847, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 9, 10, 10, 9, 9, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 8, 7, 9, 9, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 8, 7, 9, 9, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 8, 7, 9, 9, 7, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 5, 5, 6, 7, 5, 4, 4, 7, 7, 11, 12, 10, 11, 10, 8, 8, 5, 5, 7, 7, 12, 12, 10, 10, 11, 11, 14, 14, 12, 14, 14, 10, 10, 12, 12, 9, 8, 5, 5, 7, 7, 9, 10, 9, 10, 9, 9, 9, 9, 10, 13, 12, 13, 13, 13, 11, 11, 9, 11, 9, 5, 5, 7, 7, 9, 10, 9, 5, 5, 6, 8, 9, 9, 9, 7, 7, 8, 8, 8, 6, 6, 6, 8, 5, 5, 7, 7, 9, 10, 9, 11, 11, 5, 5, 6, 7, 7, 6, 6, 6, 8, 10, 11, 11, 11, 11, 11, 10, 12, 12, 12, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 8, 9, 9, 9, 9, 9, 8, 11, 10, 11, 10, 12, 12, 8, 10, 11, 10, 12, 12, 8, 10, 11, 10, 12, 12, 8, 8, 10, 11, 10, 12, 12, 12, 12, 8, 10, 11, 10, 12, 12, 12, 12, 12, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 3, 3, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 4, 4, 1, 4, 4, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 4, 4, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 4, 0, 2, 2, 2, 1, 1, 2, 2, 2, 4, 4, 4, 0, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 6, 1, 1, 6, 6, 6, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 7, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 1671, 203, 465, 22977, 203, 465, 32023, 203, 465, 3363, 203, 1270, 44, 284, 645, 26310, 2327, 543, 1996, 1188, 1156, 1648, 505, 203, 7343, 29986, 44, 284, 645, 1156, 1664, 505, 1188, 1156, 1648, 505, 203, 823, 9823, 984, 26, 984, 711, 284, 3097, 203, 823, 25189, 3566, 26, 1473, 711, 284, 665, 1487, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 3097, 284, 665, 2156, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 3097, 284, 665, 4230, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 3097, 284, 665, 706, 81, 1070, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 3097, 284, 665, 706, 81, 452, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 3097, 284, 665, 4131, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 225, 34, 30, 225, 34, 284, 665, 5551, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 2853, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 1974, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 225, 34, 30, 225, 34, 284, 665, 622, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 1665, 284, 665, 296, 5207, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 3097, 284, 665, 15042, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 3097, 203, 823, 439, 71, 81, 3566, 26, 1473, 711, 284, 1156, 1648, 505, 280, 1156, 1648, 505, 284, 665, 1156, 1664, 3207, 784, 30, 3082, 81, 983, 30, 636, 1057, 1831, 7831, 291, 630, 32, 1199, 81, 983, 280, 3082, 81, 983, 291, 630, 32, 426, 280, 636, 291, 630, 1114, 2111, 81, 891, 280, 225, 35, 34, 34, 284, 665, 1487, 26, 784, 711, 291, 415, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 784, 32, 1199, 81, 983, 30, 630, 32, 426, 474, 7286, 14454, 2131, 44, 324, 3636, 45338, 440, 3566, 3425, 5375, 15981, 291, 623, 3363, 32, 1676, 26, 500, 32, 983, 32, 2524, 26, 784, 32, 1199, 81, 983, 30, 630, 32, 426, 474, 7286, 14454, 2113, 330, 12108, 683, 619, 296, 44, 324, 296, 32, 1821, 26, 1167, 32, 2423, 440, 35, 34, 101, 43, 34, 101, 392, 630, 3667, 1648, 7642, 330, 29758, 110, 2847, 324, 296, 32, 2679, 346, 291, 630, 1114, 88, 280, 3363, 32, 1676, 26, 500, 32, 983, 32, 2524, 26, 324, 630, 32, 1199, 81, 983, 30, 630, 32, 426, 474, 7286, 14454, 2113, 330, 100, 29, 84, 370, 3112, 299, 47, 34, 27, 291, 630, 32, 9321, 346, 291, 630, 1114, 88, 32, 14408, 26, 34, 30, 225, 36, 27, 284, 665, 2156, 26, 784, 711, 291, 415, 646, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 784, 32, 1199, 81, 983, 30, 630, 32, 426, 474, 7286, 14454, 2131, 44, 324, 3636, 45338, 440, 3566, 4163, 1330, 5375, 15981, 291, 630, 1114, 88, 280, 3363, 32, 1676, 26, 500, 32, 983, 32, 2524, 26, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 5, 5, 5, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 4, 6, 6, 4, 4, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 6, 6, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 6, 6, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 7, 7, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 11, 12, 10, 10, 12, 12, 5, 5, 5, 7, 9, 11, 11, 11, 11, 4, 4, 5, 10, 11, 10, 14, 13, 14, 12, 13, 12, 14, 13, 14, 14, 14, 12, 12, 14, 15, 13, 13, 15, 15, 10, 12, 12, 8, 8, 5, 5, 5, 9, 10, 9, 12, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 11, 12, 13, 13, 11, 13, 13, 13, 6, 6, 9, 10, 9, 4, 4, 7, 8, 6, 6, 8, 9, 8, 12, 11, 12, 10, 11, 10, 10, 10, 11, 12, 12, 12, 10, 10, 12, 13, 11, 11, 13, 13, 8, 10, 10, 10, 10, 8, 10, 9, 10, 8, 4, 4, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 8, 7, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 12, 11, 12, 12, 12, 10, 10, 12, 13, 11, 11, 13, 13, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 8, 9, 8, 12, 11, 12, 10, 11, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 4, 4, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 4, 4, 4, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 4, 4, 5, 2, 1, 2, 2, 1, 2, 2, 1, 2, 5, 5, 0, 0, 1, 1, 2, 4, 4, 6, 2, 1, 2, 2, 1, 2, 2, 1, 2, 6, 6, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 7, 2, 1, 2, 2, 1, 2, 2, 1, 2, 7, 7, 0, 0, 1, 1, 2, 4, 4, 8, 2, 1, 2, 2, 1, 2, 2, 1, 2, 8, 8, 0, 4, 4, 9, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 9, 9, 4, 4, 10, 2, 1, 2, 2, 1, 2, 2, 1, 2, 10, 10, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 3, 3, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 3, 3, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 1, 1, 2, 3, 3, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 3, 3, 1, 2, 1, 1, 1, 1, 2, 1, 0, 5, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 3, 3, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1 ]
[ 1270, 44, 284, 1188, 1359, 3922, 203, 7343, 29986, 44, 284, 1188, 3383, 2825, 619, 1359, 3922, 203, 465, 2322, 203, 1070, 11685, 1188, 17161, 203, 589, 617, 29910, 81, 1536, 81, 761, 81, 983, 2262, 284, 43838, 280, 2322, 32, 983, 32, 8931, 496, 463, 112, 683, 284, 16765, 280, 2322, 32, 983, 32, 2524, 26, 8439, 30, 5608, 42634, 5685, 899, 683, 284, 442, 16765, 203, 589, 2355, 81, 1536, 81, 3550, 2262, 284, 4070, 280, 2149, 284, 4070, 710, 10514, 785, 280, 2149, 284, 4070, 710, 10514, 4902, 539, 81, 10122, 785, 280, 3177, 284, 4070, 710, 10514, 4902, 6231, 81, 6006, 81, 605, 785, 280, 330, 6231, 81, 6006, 81, 1152, 25, 284, 4070, 710, 10514, 4902, 11429, 785, 280, 330, 19694, 32, 8022, 25, 284, 442, 4070, 203, 589, 2866, 81, 5983, 81, 761, 26, 13425, 11645, 29910, 81, 1536, 81, 761, 81, 983, 1026, 6035, 18188, 47, 2700, 711, 284, 1359, 280, 1359, 3922, 32, 46487, 346, 284, 1359, 32, 850, 81, 2665, 26, 3550, 27, 284, 415, 2322, 32, 983, 32, 29712, 26, 13425, 27, 461, 646, 18188, 44, 291, 1596, 44, 324, 3636, 2032, 7530, 924, 291, 2940, 3270, 924, 44, 23688, 17161, 463, 974, 5375, 3425, 461, 18188, 438, 3177, 308, 1536, 547, 683, 284, 813, 44, 291, 623, 2156, 26, 13425, 30, 330, 105, 683, 619, 1359, 761, 44, 324, 1359, 32, 1821, 26, 1163, 761, 27, 203, 589, 1491, 81, 5983, 81, 761, 26, 13425, 11645, 29910, 81, 1536, 81, 761, 81, 983, 22805, 284, 1359, 280, 1359, 3922, 32, 46487, 346, 284, 1359, 32, 850, 26, 13425, 27, 284, 665, 622, 81, 11015, 81, 681, 26, 1906, 30, 1202, 30, 1359, 711, 291, 665, 622, 800, 26, 1906, 30, 1202, 30, 1359, 711, 324, 442, 1359, 77, 1906, 1674, 678, 79, 291, 665, 622, 5823, 26, 1906, 30, 1202, 30, 1359, 711, 23688, 442, 1359, 77, 1906, 997, 371, 410, 26, 678, 27, 291, 665, 622, 4398, 26, 1906, 30, 1202, 30, 1359, 711, 324, 442, 1359, 77, 1906, 997, 371, 4398, 26, 678, 27, 291, 665, 622, 1808, 26, 1906, 30, 1202, 30, 1359, 711, 23688, 442, 1359, 77, 1906, 997, 371, 1808, 26, 678, 27, 291, 7456, 81, 3543, 280, 2149, 16189, 7456, 81, 3543, 710, 10514, 785, 280, 2149, 291, 7456, 81, 3543, 710, 10514, 4902, 539, 81, 10122, 785, 280, 622, 4398, 291, 1596, 44, 324, 442, 7456, 81, 3543, 77, 1906, 1674, 678, 729, 1906, 30, 1202, 30, 1359, 27, 291, 2940, 25085, 44, 324, 442, 622, 800, 26, 1906, 30, 1202, 30, 1359, 27, 284, 436, 4169, 328, 1359, 32, 15485, 2262, 291, 436, 1202, 328, 1359, 77, 1906, 2786, 324, 4070, 77, 1906, 1674, 678, 79, 280, 622, 81, 11015, 81, 681, 26, 1906, 30, 1202, 30, 1359, 27, 284, 442, 4070, 203, 3550, 280, 2355, 81, 1536, 81, 3550, 346, 203, 850, 81, 5983, 81, 761, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 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, 5, 1, 2, 2, 2, 2, 2, 4, 7, 5, 5, 6, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 8, 6, 7, 7, 6, 8, 8, 2, 2, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 8, 8, 8, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 2, 2, 5, 7, 7, 4, 4, 2, 2, 6, 8, 8, 7, 7, 7, 7, 4, 4, 2, 2, 6, 8, 8, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 6, 8, 8, 7, 7, 4, 4, 6, 6, 6, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 2, 1, 1, 4, 4, 7, 6, 7, 6, 2, 2, 5, 6, 6, 6, 5, 6, 5, 2, 2, 3, 7, 8, 6, 7, 6, 7, 6, 4, 4, 5, 3, 3, 3, 5, 5, 5, 7, 8, 8, 5, 5, 6, 7, 6, 6, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 4, 4, 4, 6, 11, 12, 11, 11, 13, 13, 9, 9, 11, 6, 6, 6, 10, 11, 10, 11, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 4, 4, 7, 6, 7, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 7, 9, 10, 9, 9, 8, 4, 4, 5, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 7, 10, 11, 10, 10, 10, 9, 10, 9, 4, 4, 5, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 7, 10, 11, 10, 10, 10, 9, 10, 9, 4, 4, 5, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 7, 10, 11, 10, 10, 10, 9, 10, 9, 4, 4, 7, 7, 6, 6, 4, 4, 8, 8, 7, 9, 9, 6, 6, 4, 4, 9, 9, 8, 10, 10, 9, 9, 9, 9, 6, 6, 7, 4, 4, 5, 5, 5, 7, 11, 11, 10, 11, 10, 10, 9, 10, 9, 9, 9, 9, 9, 5, 5, 6, 6, 6, 6, 8, 10, 10, 11, 10, 10, 10, 10, 10, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 5, 5, 5, 6, 7, 6, 5, 5, 10, 11, 10, 10, 9, 8, 8, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 2, 2, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 0, 1, 2, 0, 0, 4, 4, 0, 1, 2, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 5, 0, 5, 5, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 5, 5, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 3, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 6, 6, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 4, 4, 7, 7, 7, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 7, 7, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 3, 2, 3, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 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 ]
[ 1070, 21816, 761, 81, 5728, 1188, 18977, 974, 4822, 203, 1070, 1340, 81, 7101, 1188, 570, 11224, 3442, 203, 1070, 485, 899, 81, 2593, 81, 7101, 1188, 570, 4940, 5732, 4815, 203, 1070, 2047, 3732, 81, 1439, 1188, 5502, 3653, 30, 5502, 3653, 984, 30, 622, 81, 823, 81, 2665, 203, 1070, 2047, 3732, 81, 669, 1188, 5502, 3653, 1103, 203, 1070, 2047, 3732, 81, 5820, 1188, 5502, 3653, 12597, 203, 1070, 2047, 3732, 81, 1338, 1188, 5502, 3653, 1120, 203, 1070, 2047, 3732, 81, 12620, 327, 696, 1188, 5502, 3653, 6669, 5732, 203, 1070, 2047, 3732, 81, 890, 1803, 1188, 5502, 3653, 1812, 2459, 203, 1070, 2047, 3732, 81, 3925, 1188, 5502, 3653, 4913, 203, 1070, 2047, 3732, 81, 13141, 1188, 5502, 3653, 21722, 203, 1070, 12877, 1188, 24190, 203, 1070, 2047, 3732, 81, 4756, 1188, 5502, 3653, 9030, 203, 1070, 4118, 81, 1152, 81, 1521, 1188, 12259, 2201, 2227, 203, 1070, 4527, 81, 8239, 1188, 319, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 10, 10, 0, 0, 0, 10, 10, 0, 0, 0, 11, 11, 11, 11, 0, 12, 12, 0, 0, 0, 12, 12, 0, 0, 0, 13, 13, 0, 0, 0, 0, 13, 13, 0, 0, 0, 14, 14, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 2387, 32, 1536, 9211, 1188, 11909, 203, 1070, 8527, 32, 858, 1188, 7155, 7233, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 3634, 81, 4770, 203, 1070, 4377, 2304, 1188, 4705, 203, 823, 42424, 4470, 26, 5291, 7233, 711, 284, 477, 5522, 14178, 6306, 34, 35, 950, 330, 4572, 2267, 11731, 2126, 3328, 1656, 312, 110, 6306, 1924, 106, 20, 2038, 3335, 323, 110, 6306, 1924, 106, 20, 2038, 4572, 943, 2837, 11731, 3328, 18143, 284, 665, 894, 81, 6306, 34, 35, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 6306, 34, 35, 370, 3447, 83, 563, 313, 106, 24, 107, 392, 313, 84, 563, 3634, 81, 4770, 440, 106, 24, 757, 45, 107, 657, 1748, 291, 630, 32, 5299, 26, 2024, 30, 14248, 107, 549, 757, 45, 107, 657, 284, 477, 5522, 14178, 6306, 34, 36, 950, 23728, 312, 110, 6306, 1924, 106, 20, 2038, 3335, 323, 110, 6306, 1924, 106, 20, 2038, 18143, 284, 665, 894, 81, 6306, 34, 36, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 6306, 34, 36, 370, 3447, 83, 563, 313, 106, 24, 107, 392, 313, 84, 563, 3634, 81, 4770, 440, 106, 24, 757, 45, 107, 657, 1748, 291, 630, 32, 5299, 26, 2024, 30, 14248, 757, 45, 107, 549, 757, 45, 107, 657, 284, 477, 5522, 14178, 6306, 34, 37, 950, 330, 4572, 2267, 11731, 2126, 3328, 1656, 312, 110, 6306, 1924, 24, 20, 2038, 3335, 323, 110, 6306, 1924, 24, 20, 2038, 4572, 943, 2837, 11731, 3328, 18143, 284, 665, 894, 81, 6306, 34, 37, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 6306, 34, 37, 370, 3447, 83, 563, 313, 106, 24, 107, 392, 313, 84, 563, 3634, 81, 4770, 440, 106, 24, 757, 45, 107, 657, 1748, 291, 630, 32, 5299, 26, 2024, 30, 313, 2204, 816, 757, 45, 107, 657, 284, 477, 5522, 14178, 6306, 34, 38, 950, 23728, 312, 110, 6306, 1924, 24, 20, 2038, 3335, 323, 110, 6306, 1924, 24, 20, 2038, 18143, 284, 665, 894, 81, 6306, 34, 38, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 6306, 34, 38, 370, 3447, 83, 563, 313, 106, 24, 107, 392, 313, 84, 563, 3634, 81, 4770, 440, 106, 24, 757, 45, 107, 657, 1748, 291, 630, 32, 5299, 26, 2024, 30, 313, 2204, 816, 757, 45, 107, 657, 284, 477, 5522, 14178, 6306, 34, 39, 950, 330, 4572, 2267, 11731, 2126, 3328, 1656, 312, 110, 6306, 38019, 20, 2038, 3335, 323, 110, 6306, 38019, 20, 2038, 4572, 943, 2837, 11731, 3328, 18143, 284, 665, 894, 81, 6306, 34, 39, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 6306, 34, 39, 370, 3447, 83, 563, 313, 106, 24, 107, 392, 313, 84, 563, 3634, 81, 4770, 440, 106, 24, 757, 45, 107, 657, 1748, 291, 630, 32, 5299, 26, 2024, 30, 313, 106 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 6, 6, 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, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 13, 15, 15, 15, 15, 15, 15, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 13, 15, 15, 15, 15, 15, 15, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 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, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 13, 15, 15, 15, 15, 15, 15, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 13, 15, 15, 15, 15, 15, 15, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 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, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 13, 13, 13, 13, 10, 13, 13, 11, 13, 13, 13, 15, 15, 15, 15, 15, 15, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10 ]
[ 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 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, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 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, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 12500, 32, 12035, 1188, 29112, 203, 589, 9526, 3365, 37, 26, 106, 30, 533, 30, 1288, 711, 284, 13736, 280, 2069, 26, 106, 27, 284, 14620, 280, 2069, 26, 107, 27, 284, 20207, 280, 2069, 26, 108, 27, 284, 23634, 280, 2065, 32, 10415, 15019, 26, 2356, 32, 12091, 26, 2356, 32, 8336, 26, 106, 30, 308, 35, 30, 14620, 30, 20207, 3662, 308, 16133, 30, 14620, 30, 13736, 3662, 225, 34, 30, 225, 36, 27, 284, 9580, 280, 2065, 32, 10415, 15019, 26, 2356, 32, 12091, 26, 2356, 32, 8336, 26, 107, 30, 308, 8462, 30, 225, 35, 30, 20207, 3662, 308, 8462, 30, 20207, 30, 14620, 3662, 225, 35, 30, 225, 36, 27, 284, 27476, 280, 2065, 32, 8336, 26, 108, 30, 308, 8462, 30, 14620, 30, 225, 35, 490, 284, 442, 23634, 30, 9580, 30, 27476, 203, 823, 3645, 10521, 12319, 26, 12319, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 3563, 280, 10306, 32, 3235, 463, 12119, 370, 225, 35, 27, 291, 29112, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 27, 284, 665, 739, 81, 695, 26, 784, 30, 909, 711, 291, 13590, 280, 630, 32, 8541, 32, 2204, 291, 13590, 77, 36, 79, 280, 909, 30, 225, 35, 291, 13590, 77, 37, 79, 280, 909, 30, 225, 34, 291, 630, 32, 8541, 32, 2204, 280, 13590, 291, 630, 32, 695, 878, 32, 470, 81, 878, 25416, 291, 415, 630, 32, 3887, 267, 44, 324, 630, 32, 648, 32, 7630, 32, 8031, 32, 3887, 346, 291, 630, 32, 695, 280, 909, 291, 415, 646, 630, 32, 1567, 1155, 44, 324, 442, 291, 436, 24784, 30, 3420, 328, 630, 32, 906, 13547, 32, 40957, 2262, 324, 3420, 26, 695, 27, 203, 823, 11494, 37, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 23634, 30, 9580, 30, 27476, 30, 1044, 711, 291, 630, 32, 106, 280, 23634, 6894, 225, 34, 30, 225, 34, 79, 291, 630, 32, 107, 280, 9580, 77, 34, 30, 21367, 225, 34, 79, 291, 630, 32, 108, 280, 27476, 77, 34, 30, 225, 34, 30, 22913, 291, 630, 32, 605, 280, 1044, 291, 630, 32, 582, 280, 5743, 32, 7630, 26, 35, 30, 308, 36, 34, 30, 225, 41, 490, 291, 630, 32, 648, 35, 280, 630, 32, 582, 32, 669, 81, 23541, 26, 35, 37, 35, 30, 14335, 1057, 2228, 683, 291, 630, 32, 648, 36, 280, 630, 32, 582, 32, 669, 81, 23541, 26, 35, 37, 36, 30, 14335, 1057, 2228, 683, 291, 630, 32, 648, 37, 280, 630, 32, 582, 32, 669, 81, 23541, 26, 35, 37, 37, 30, 14335, 1057, 2228, 683, 291, 630, 32, 106, 3399, 81, 108, 928, 280, 630, 32, 648, 35, 32, 648, 104, 928, 26, 1489, 1057, 95, 370, 43701, 1057, 287, 370, 27187, 47, 36, 27, 291, 630, 32, 106, 3399, 81, 108, 928, 32, 470, 81, 106, 605, 26, 784, 32, 108, 77, 34, 1130 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 9, 8, 9, 8, 11, 10, 11, 10, 11, 10, 10, 12, 11, 11, 11, 11, 11, 8, 10, 9, 9, 9, 9, 9, 6, 7, 6, 6, 7, 6, 2, 2, 4, 4, 6, 7, 7, 6, 9, 8, 9, 8, 11, 10, 11, 10, 11, 10, 10, 12, 11, 11, 12, 11, 11, 11, 8, 10, 9, 9, 9, 9, 9, 6, 7, 6, 6, 7, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 8, 7, 7, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 10, 10, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 7, 6, 6, 7, 7, 8, 4, 4, 7, 8, 7, 6, 6, 7, 7, 8, 4, 4, 8, 9, 7, 8, 6, 6, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 4, 4, 5, 6, 7, 7, 5, 5, 5, 12, 13, 11, 12, 10, 11, 9, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 5, 6, 7, 8, 8, 5, 5, 5, 4, 4, 5, 6, 6, 5, 5, 8, 9, 9, 7, 8, 7, 5, 5, 9, 10, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 6, 6, 7, 8, 7, 7, 7, 8, 7, 4, 4, 7, 8, 6, 6, 7, 8, 7, 7, 8, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 8, 8, 10, 10, 9, 9, 10, 9, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 11, 11, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 11, 11, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 11, 11, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 10, 9, 11, 11, 8, 9, 11, 11, 8, 9, 10, 8, 4, 4, 8, 9, 9, 9, 9, 9, 7, 8, 8, 8, 8, 7, 10, 9, 10, 8, 9, 8 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 3, 1, 1, 5, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 3, 1, 1, 5, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 5, 3, 4, 4, 6, 1, 1, 1, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 5, 1, 2, 2, 5, 5, 5, 0, 2, 0, 2, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 7, 1, 1, 2, 2, 7, 7, 7, 4, 4, 8, 1, 1, 8, 8, 0, 2, 2, 0, 2, 1, 8, 8, 1, 1, 1, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 4, 2, 2, 6, 2, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 2, 6, 2, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 3, 1, 2, 1, 5, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1 ]