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
[ 1216, 4064, 1427, 8223, 203, 21, 203, 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 48499, 81, 3732, 93, 1507, 32, 317, 2499, 37, 86, 1188, 17101, 307, 37, 54, 203, 1070, 13134, 1188, 47604, 203, 1070, 13134, 1188, 15500, 203, 2356, 32, 3855, 32, 7389, 26, 39, 27, 203, 40868, 280, 3813, 35, 30, 225, 35, 614, 9650, 35, 30, 429, 35, 614, 428, 35, 30, 429, 35, 3212, 203, 29051, 280, 15500, 32, 944, 81, 29051, 346, 203, 74, 280, 7683, 297, 32, 605, 203, 107, 280, 7683, 297, 32, 1977, 203, 582, 280, 5743, 32, 7630, 26, 35, 30, 37403, 4310, 38, 30, 225, 37, 490, 203, 6073, 32, 25371, 346, 203, 648, 280, 17101, 307, 37, 54, 26, 582, 30, 7582, 6020, 34, 30, 225, 34, 30, 638, 43, 39, 30, 225, 35, 614, 40768, 47, 38, 42, 30, 10166, 449, 47, 35, 37, 38, 27, 203, 6073, 32, 8475, 346, 203, 35823, 280, 47604, 32, 44844, 26, 96, 81, 3527, 47, 37, 27, 203, 35823, 32, 4698, 26, 74, 27, 203, 74, 280, 298, 1173, 32, 3792, 26, 74, 27, 203, 979, 636, 30, 2266, 328, 41449, 885, 22072, 370, 225, 34, 471, 2726, 44546, 5677, 8857, 370, 225, 35, 471, 2726, 72, 44738, 5285, 370, 225, 36, 2177, 44, 284, 3327, 32, 878, 37, 54, 26, 74, 77, 107, 610, 2266, 30, 225, 34, 997, 6009, 1026, 1090, 1593, 77, 107, 610, 2266, 30, 225, 35, 997, 6009, 346, 474, 225, 35, 32, 39, 30, 1090, 1593, 77, 107, 610, 2266, 30, 225, 36, 997, 6009, 1026, 636, 30, 1090, 14773, 18842, 1057, 2390, 370, 1090, 19447, 47, 2665, 26, 4893, 22810, 39, 30, 6731, 1489, 1057, 105, 370, 8851, 1489, 1057, 105, 2847, 203, 21, 107, 280, 2065, 32, 17381, 26, 107, 30, 428, 35, 30, 225, 36, 30, 225, 34, 8492, 15315, 26, 2356, 32, 1808, 27, 203, 648, 32, 17808, 26, 74, 6894, 225, 34, 614, 1593, 6894, 225, 35, 614, 1593, 6894, 225, 36, 614, 281, 47, 107, 30, 26685, 47, 6073, 32, 4072, 32, 14577, 5310, 27, 203, 106, 81, 26348, 280, 428, 74, 6894, 225, 34, 997, 887, 1026, 1593, 6894, 225, 34, 997, 1449, 1026, 616, 1593, 6894, 225, 34, 997, 887, 1026, 1593, 6894, 225, 34, 997, 1449, 7662, 203, 107, 81, 26348, 280, 428, 74, 6894, 225, 34, 997, 1449, 1026, 1593, 6894, 225, 34, 997, 1449, 1026, 616, 1593, 6894, 225, 34, 997, 887, 1026, 1593, 6894, 225, 34, 997, 887, 7662, 203, 106, 81, 26348, 280, 2065, 32, 955, 26, 106, 81, 26348, 27, 203, 107, 81, 26348, 280, 2065, 32, 955, 26, 107, 81, 26348, 27, 203, 104, 34, 280, 298, 1173, 32, 3792, 26, 35823, 32, 3527, 8850, 34, 1130, 203, 104, 34, 14374, 354, 34, 6448, 35, 79, 203, 104, 35, 280, 298, 1173, 32, 3792, 26, 35823, 32, 3527, 8850, 35, 1130, 203, 104, 35, 14374, 354, 35, 6448, 35, 79, 203, 648, 32, 105, 81, 39113, 32, 470, 81, 10727, 5919, 24562, 203, 648, 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 ]
[ 3, 3, 4, 4, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 5, 4, 5, 3, 4, 3, 4, 3, 0, 3, 2, 2, 5, 4, 4, 5, 4, 3, 6, 4, 4, 6, 4, 3, 5, 4, 4, 6, 4, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 2, 2, 4, 3, 4, 0, 3, 2, 2, 4, 3, 4, 0, 3, 2, 2, 4, 5, 4, 5, 4, 4, 5, 7, 6, 6, 7, 6, 0, 4, 3, 4, 3, 0, 3, 2, 2, 4, 4, 4, 4, 5, 4, 4, 5, 7, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 6, 4, 5, 6, 6, 4, 4, 6, 5, 6, 6, 6, 4, 0, 4, 3, 4, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 5, 6, 4, 0, 4, 3, 4, 3, 4, 3, 0, 3, 2, 2, 5, 4, 5, 4, 5, 4, 0, 1, 1, 2, 2, 1, 1, 5, 5, 5, 3, 4, 3, 2, 5, 5, 5, 5, 3, 4, 3, 2, 5, 5, 5, 5, 3, 4, 3, 1, 1, 1, 5, 6, 6, 6, 5, 9, 8, 10, 9, 9, 8, 8, 9, 8, 8, 7, 5, 5, 9, 11, 10, 10, 9, 9, 10, 9, 9, 8, 6, 6, 7, 7, 7, 5, 5, 5, 8, 10, 9, 9, 8, 8, 9, 8, 8, 7, 5, 5, 5, 5, 7, 6, 8, 8, 5, 5, 6, 8, 8, 10, 9, 10, 8, 8, 10, 9, 11, 11, 8, 10, 9, 11, 11, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 3, 4, 3, 5, 4, 4, 5, 4, 3, 4, 4, 5, 4, 3, 4, 4, 5, 4, 3, 4, 5, 3, 3, 4, 7, 6, 7, 5, 6, 6, 3, 0, 3, 3, 3, 2, 2, 7, 6, 6, 7, 6, 6, 5, 3, 6, 6, 7, 6, 6, 5, 3, 3, 6, 6, 7, 6, 6, 5, 3, 6, 6, 7, 6, 6, 5, 0, 3, 3, 3, 2, 2, 7, 6, 6, 7, 6, 6, 5, 3, 6, 6, 7, 6, 6, 5, 3, 3, 6, 6, 7, 6, 6, 5, 3, 6, 6, 7, 6, 6, 5, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 2, 2, 5, 4, 5, 4, 7, 6, 7, 7, 6, 5, 0, 3, 3, 2, 2, 4, 3, 5, 3, 0, 3, 3, 2, 2, 5, 4, 5, 4, 7, 6, 7, 7, 6, 5, 0, 3, 3, 2, 2, 4, 3, 5, 3, 0, 5, 4, 5, 5, 5, 3, 4, 4, 4, 4, 3, 0, 5, 4 ]
[ 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 2, 1, 1, 0, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 3, 1, 2, 1, 3, 3, 1, 3, 2, 1, 5, 5, 1, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 2, 3, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 7, 2, 1, 5, 2, 2, 1, 1, 0, 7, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 19, 19, 1, 1, 19, 19, 1, 1, 2, 1, 3, 1, 3, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 2, 5, 3, 5, 19, 19, 19, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 4, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 4, 0, 2, 1, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 4, 0, 2, 1, 1, 1, 1, 1, 0, 9, 1, 2, 1, 1, 11, 0, 1, 0, 1, 2, 1, 1, 0, 3, 1, 2, 1, 0, 5, 1, 2, 0, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 0, 0, 0, 2, 1, 0, 1, 1, 4, 1, 1, 3, 3, 4, 3, 1, 5, 5, 4, 5, 1, 7, 2, 1, 1, 9, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 1, 2, 0, 0, 4, 0, 2, 1, 2, 2, 0, 0, 4, 0, 2, 1, 2, 0, 0, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 1, 2, 0, 0, 4, 0, 2, 1, 2, 2, 0, 0, 4, 0, 2, 1, 2, 0, 0, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0 ]
[ 465, 1933, 203, 465, 5216, 203, 465, 31074, 203, 4680, 280, 31074, 32, 998, 346, 203, 505, 464, 505, 280, 2726, 823, 48618, 370, 330, 5484, 26240, 4232, 370, 330, 5484, 26240, 683, 203, 823, 443, 48618, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3420, 711, 291, 630, 32, 1298, 280, 3420, 284, 665, 1156, 371, 3207, 784, 30, 2830, 30, 827, 47, 2521, 711, 291, 442, 617, 1959, 5098, 26, 784, 32, 1298, 30, 2830, 47, 2067, 30, 827, 47, 681, 27, 203, 823, 617, 1959, 5098, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3420, 30, 2830, 30, 827, 711, 291, 630, 32, 1298, 280, 3420, 291, 630, 32, 2067, 280, 2830, 291, 630, 32, 681, 280, 827, 284, 665, 1156, 1851, 3207, 784, 30, 319, 1132, 30, 1115, 4124, 711, 291, 1201, 646, 330, 784, 25, 328, 8556, 461, 646, 330, 6933, 25, 328, 8556, 30, 308, 324, 313, 4282, 4881, 793, 330, 784, 25, 556, 330, 6933, 25, 4209, 372, 312, 313, 324, 313, 823, 48618, 657, 291, 442, 630, 32, 1298, 2740, 1162, 784, 32, 2067, 30, 630, 32, 681, 27, 474, 2181, 471, 1115, 4124, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 415, 630, 32, 2067, 438, 1665, 44, 324, 442, 2726, 46, 4464, 443, 1411, 904, 101, 15231, 101, 6457, 528, 904, 308, 784, 32, 681, 3667, 426, 7642, 630, 32, 1298, 32, 1298, 81, 426, 490, 291, 813, 44, 324, 442, 2726, 46, 4464, 1411, 904, 101, 15231, 101, 432, 904, 100, 6457, 528, 904, 308, 784, 32, 681, 3667, 426, 7642, 630, 32, 1298, 32, 1298, 81, 426, 30, 630, 32, 2067, 490, 203, 823, 18492, 26240, 4232, 26, 681, 711, 284, 665, 1156, 890, 3207, 2859, 30, 443, 81, 426, 30, 26394, 30, 537, 81, 10407, 711, 291, 2364, 81, 22495, 280, 1605, 291, 15883, 81, 22495, 280, 1605, 291, 5216, 32, 2714, 26, 5057, 32, 1339, 1922, 10760, 30, 528, 26394, 77, 34, 614, 443, 81, 426, 30, 26394, 30, 537, 81, 10407, 30, 528, 2364, 81, 22495, 30, 15883, 81, 22495, 27, 291, 9011, 280, 827, 3667, 890, 3207, 2859, 30, 443, 81, 426, 30, 26394, 30, 537, 81, 10407, 27, 291, 436, 3420, 328, 15883, 81, 22495, 44, 324, 3420, 26, 6933, 27, 291, 415, 11477, 823, 1664, 505, 25, 328, 537, 81, 10407, 44, 324, 9011, 3667, 823, 1664, 505, 280, 907, 1959, 26, 6933, 3667, 823, 1664, 9818, 449, 81, 1298, 27, 291, 9011, 3667, 823, 1664, 3207, 6933, 30, 537, 81, 10407, 27, 291, 436, 3420, 328, 2364, 81, 22495, 44, 324, 3420, 26, 6933, 27, 291, 442, 9011, 203, 823, 18492, 26240, 26, 1473, 711, 284, 1156, 15404, 1132, 505, 280, 1404, 284, 1156, 6268, 5843, 505, 280, 1404, 284, 1156, 2559, 32095, 505, 280, 18492, 26240, 4232, 284, 1156, 20757, 81, 5843, 505, 280, 1665, 284, 665, 1156, 823, 1664, 3207, 6933, 30, 537, 81, 10407, 711, 291, 9011, 32, 4214, 26240, 81, 998, 280, 7022, 32, 1978, 346, 291, 436, 636, 328, 9011, 3667, 6268, 5843 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 2, 4, 5, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 7, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 10, 10, 8, 8, 6, 6, 7, 10, 10, 8, 8, 5, 5, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 4, 4, 5, 7, 8, 7, 9, 13, 12, 13, 11, 11, 12, 13, 11, 10, 10, 9, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 13, 12, 13, 11, 12, 12, 10, 12, 13, 11, 12, 12, 12, 10, 5, 5, 6, 6, 6, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 14, 13, 14, 12, 13, 13, 11, 13, 14, 12, 13, 13, 13, 11, 11, 12, 13, 11, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 7, 8, 9, 8, 7, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 8, 8, 9, 9, 8, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 9, 10, 9, 4, 4, 5, 8, 8, 8, 8, 6, 6, 7, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 10, 13, 12, 13, 13, 13, 12, 12, 12, 10, 4, 4, 7, 8, 8, 8, 8, 7, 7, 8, 8, 7, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 9, 10, 9, 4, 4, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 6, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 3, 2, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 3, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 3, 2, 2, 2, 2, 2, 5, 2, 2, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 7, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 2, 3, 1, 5, 5, 1, 1, 1, 1, 9, 9, 1, 1, 1, 11, 11, 1, 1, 13, 13, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 7, 7, 1, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 1, 1, 2, 2, 5, 5, 5, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 4, 4, 7, 7, 7, 3, 3, 7, 7, 7, 1, 1, 1, 4, 4, 8, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 3, 2, 2 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 34, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 1262, 6040, 203, 24021, 2893, 280, 1524, 203, 1559, 203, 1647, 44, 19123, 500, 81, 496, 203, 1648, 81, 11043, 44, 313, 36, 32, 38, 20, 203, 2116, 44, 313, 854, 1708, 3258, 8085, 4945, 11931, 359, 1708, 44135, 4731, 203, 4021, 81, 2310, 44, 31580, 322, 4491, 432, 2196, 4250, 544, 676, 107, 2636, 3298, 203, 2310, 44, 334, 429, 1348, 2297, 7367, 4497, 26240, 11146, 432, 322, 2196, 952, 101, 284, 9577, 544, 3984, 9241, 32, 2030, 6972, 4654, 12254, 372, 11856, 284, 3154, 10090, 952, 101, 556, 322, 4491, 432, 952, 101, 328, 322, 284, 1550, 3974, 1359, 32, 2030, 2329, 9567, 5763, 2563, 952, 101, 645, 322, 284, 3488, 688, 884, 646, 13413, 3417, 32, 203, 2184, 44, 334, 4250, 44, 284, 3048, 44, 397, 429, 886, 739, 432, 952, 4684, 372, 526, 9577, 544, 322, 6562, 291, 676, 107, 2636, 3298, 32, 886, 1149, 8036, 883, 3154, 526, 322, 952, 556, 291, 312, 3677, 432, 952, 461, 4308, 32, 1348, 2793, 438, 4031, 3405, 291, 27765, 623, 322, 390, 26, 426, 27, 2793, 32, 8813, 390, 26, 20224, 547, 334, 636, 44, 284, 3048, 44, 397, 429, 886, 952, 372, 526, 9577, 544, 322, 676, 107, 2636, 3298, 32, 291, 1348, 2793, 19201, 312, 802, 786, 461, 438, 4031, 3405, 27765, 291, 623, 322, 390, 26, 20224, 27, 2793, 32, 291, 5294, 5997, 688, 458, 2470, 438, 646, 2432, 619, 390, 26, 6385, 952, 547, 334, 3536, 81, 426, 44, 284, 3048, 44, 397, 429, 886, 390, 26, 2620, 81, 426, 27, 2793, 7367, 322, 3536, 636, 432, 322, 1256, 291, 3497, 372, 526, 3272, 544, 322, 6562, 3298, 32, 1348, 2793, 19201, 291, 1346, 1344, 802, 786, 32, 334, 3882, 44, 284, 3048, 44, 397, 429, 886, 3882, 372, 526, 9577, 544, 322, 676, 107, 2636, 3298, 32, 886, 291, 3882, 5652, 372, 526, 3943, 328, 4233, 461, 561, 1098, 526, 15808, 291, 544, 322, 3298, 32, 291, 5294, 5997, 688, 458, 2470, 438, 646, 2432, 619, 390, 26, 6385, 3882, 547, 334, 1974, 81, 2895, 44, 284, 3048, 44, 397, 429, 11992, 32444, 884, 15808, 328, 322, 3298, 3974, 1359, 30, 458, 291, 2793, 1098, 47631, 322, 2297, 1412, 372, 1539, 322, 3882, 32, 225, 5076, 291, 739, 372, 390, 26, 12149, 471, 322, 3882, 1098, 5182, 526, 4459, 328, 322, 3298, 291, 461, 1412, 739, 372, 390, 26, 267, 81, 1297, 27, 322, 3882, 1098, 526, 4459, 1755, 415, 291, 322, 952, 438, 3272, 32, 284, 1244, 44, 5182, 284, 16682, 44, 2107, 267, 81, 1297, 370, 330, 12149, 785, 334, 3193, 44, 284, 3048, 44, 397, 429, 886, 390, 26, 2649, 27, 2793, 1359, 3009, 322, 3193, 432, 322, 1256, 1412, 12946, 291, 1991, 322, 2664, 32, 1348, 2793, 19201, 802, 2078, 5605, 556, 4134, 32, 334, 34086, 44, 284, 3048, 44, 397, 429, 701, 34039, 322, 2297, 372, 6295, 322, 291, 2869, 5644 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2965, 2609, 81, 4365, 36, 203, 465, 5237, 203, 589, 39626, 1562, 2438, 26, 6416, 711, 334, 4916, 32, 314, 280, 629, 26, 1294, 81, 1131, 440, 6545, 4916, 2484, 1451, 44, 29450, 334, 4916, 32, 426, 280, 5081, 81, 1131, 440, 6545, 636, 44, 7788, 334, 4096, 280, 5081, 81, 1131, 440, 6545, 4096, 2965, 308, 5006, 436, 4909, 711, 7788, 334, 415, 4096, 863, 34863, 284, 4916, 32, 1935, 280, 4096, 334, 2218, 2933, 44, 284, 1451, 280, 5081, 81, 1131, 440, 6545, 312, 9836, 1451, 308, 271, 11883, 11771, 372, 11361, 711, 7788, 284, 415, 1451, 610, 34863, 397, 1626, 284, 9836, 81, 2171, 280, 4916, 32, 5452, 32, 669, 346, 284, 9836, 81, 2171, 32, 2171, 280, 1451, 284, 827, 280, 5081, 81, 1131, 440, 1622, 458, 312, 10915, 30, 6765, 30, 556, 1389, 9836, 49, 7788, 284, 415, 827, 610, 313, 7747, 563, 397, 9836, 81, 2171, 32, 681, 280, 2965, 2609, 81, 4365, 36, 32, 6005, 32, 40726, 5311, 284, 4348, 827, 610, 313, 2833, 563, 397, 9836, 81, 2171, 32, 681, 280, 2965, 2609, 81, 4365, 36, 32, 6005, 32, 8439, 284, 4348, 827, 610, 313, 1007, 563, 397, 9836, 81, 2171, 32, 681, 280, 2965, 2609, 81, 4365, 36, 32, 6005, 32, 8703, 284, 813, 44, 397, 1459, 313, 5842, 9836, 827, 45, 26514, 619, 1244, 786, 3107, 203, 325, 2069, 26, 3731, 32, 6118, 27, 863, 225, 36, 44, 334, 1459, 313, 6772, 9318, 5237, 32, 6118, 77, 34, 614, 313, 12339, 81, 26791, 81, 3539, 20, 334, 5237, 32, 4775, 3736, 35, 27, 203, 2468, 81, 2609, 280, 2965, 2609, 81, 4365, 36, 32, 2438, 6588, 346, 203, 1270, 44, 334, 296, 280, 2156, 26, 3731, 32, 6118, 77, 35, 614, 313, 4506, 657, 334, 2965, 81, 2609, 32, 4480, 17725, 26, 88, 32, 850, 1157, 334, 296, 32, 2679, 346, 203, 7343, 45338, 44, 334, 1459, 5237, 32, 6118, 77, 35, 79, 474, 10685, 2032, 646, 2431, 32, 225, 19682, 312, 537, 803, 3107, 203, 18249, 1562, 2438, 26, 2468, 81, 2609, 32, 6416, 32, 669, 1157, 203, 88, 280, 2156, 26, 3731, 32, 6118, 77, 35, 614, 313, 12108, 657, 203, 88, 32, 1821, 26, 2468, 81, 2609, 32, 9506, 4590, 1157, 203, 88, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 4, 4, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 2, 2, 5, 6, 4, 4, 6, 6, 6, 8, 8, 8, 8, 2, 2, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 3, 3, 3, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 6, 5, 5, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 8, 7, 8, 6, 6, 4, 4, 6, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 6, 8, 8, 5, 5, 10, 10, 9, 10, 8, 8, 11, 11, 11, 11, 10, 11, 9, 10, 10, 5, 5, 6, 7, 7, 9, 9, 6, 6, 11, 11, 10, 11, 9, 9, 12, 12, 12, 12, 11, 12, 10, 11, 5, 5, 6, 7, 7, 9, 9, 6, 6, 11, 11, 10, 11, 9, 9, 12, 12, 12, 12, 11, 12, 10, 11, 5, 5, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 1, 1, 4, 6, 5, 6, 4, 2, 2, 3, 1, 1, 1, 3, 5, 5, 3, 5, 6, 4, 5, 4, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 6, 5, 7, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 4, 5, 5, 4, 0, 1, 1, 1, 1, 4, 4, 6, 9, 8, 9, 7, 8, 7, 6, 8, 8, 2, 2, 6, 6, 5, 6, 6, 5, 8, 7, 8, 7, 2, 2, 5, 6, 5, 1, 2, 2, 2, 2, 2, 4, 7, 8, 6, 7, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 3, 7, 7, 7, 6, 7, 5, 6, 5, 0, 3, 2, 2, 4, 7, 6, 7, 5, 6, 5, 4, 6, 6, 0, 4, 3, 4, 3, 6, 6, 6, 5, 6, 6, 5, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 3, 3, 0, 2, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 3, 3, 0, 0, 0, 2, 0, 0, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 1, 0, 1, 2, 1, 1, 1, 2, 3, 3, 3, 0, 1, 1, 0, 0, 2, 3, 2, 3, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 5, 5, 5, 5, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 5, 3, 3, 3, 3, 3, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 33746, 203, 1070, 7138, 1188, 7138, 203, 589, 894, 81, 24352, 2262, 284, 1133, 81, 8442, 280, 33746, 32, 37535, 346, 284, 1133, 81, 8442, 77, 6665, 26, 36, 34, 38, 36, 30, 225, 36, 30, 225, 35, 30, 261, 40, 30, 261, 34, 30, 261, 34, 2177, 280, 225, 34, 10065, 1133, 81, 8442, 77, 6665, 26, 36, 34, 38, 36, 30, 225, 36, 30, 225, 35, 30, 261, 41, 30, 225, 38, 39, 30, 225, 39, 40, 2177, 280, 225, 35, 10065, 1133, 81, 8442, 77, 6665, 26, 36, 34, 38, 36, 30, 225, 36, 30, 225, 35, 30, 261, 42, 30, 225, 39, 35, 30, 225, 38, 36, 2177, 280, 225, 34, 10065, 1133, 81, 8442, 77, 6665, 26, 36, 34, 38, 36, 30, 225, 36, 30, 225, 35, 30, 225, 35, 36, 30, 261, 37, 30, 225, 39, 40, 2177, 280, 225, 35, 10065, 1133, 81, 8442, 77, 6665, 26, 36, 34, 38, 36, 30, 225, 36, 30, 225, 35, 30, 225, 35, 36, 30, 261, 41, 30, 225, 35, 37, 2177, 280, 225, 34, 10065, 1201, 1133, 81, 8442, 77, 6665, 26, 36, 34, 38, 36, 30, 225, 36, 30, 225, 35, 30, 225, 35, 35, 30, 261, 34, 30, 225, 34, 2177, 610, 225, 34, 284, 7433, 280, 1133, 81, 8442, 32, 13081, 26, 291, 1477, 47, 6665, 26, 36, 34, 38, 36, 30, 225, 36, 30, 225, 35, 30, 261, 40, 30, 261, 34, 30, 261, 34, 471, 16189, 943, 47, 6665, 26, 36, 34, 38, 36, 30, 225, 36, 30, 225, 35, 30, 261, 35, 37, 30, 261, 34, 30, 261, 34, 27, 27218, 829, 284, 1201, 7433, 77, 35, 79, 610, 225, 34, 32, 35, 40, 38, 38, 34, 38, 41, 40, 35, 43, 34, 38, 41, 40, 35, 43, 35, 203, 589, 894, 81, 3576, 2262, 284, 11418, 280, 33746, 32, 37535, 346, 284, 11418, 77, 35, 32, 36, 79, 280, 5053, 9213, 85, 331, 374, 6040, 284, 11418, 77, 35, 32, 41, 79, 280, 5053, 9213, 85, 331, 374, 370, 330, 9513, 6040, 284, 11418, 77, 36, 32, 36, 79, 280, 5053, 9513, 6040, 284, 11418, 77, 37, 32, 39, 79, 280, 5053, 9513, 370, 330, 864, 5231, 6040, 284, 1201, 11418, 77, 36, 79, 610, 5053, 9213, 85, 331, 374, 370, 330, 9513, 6040, 284, 1201, 11418, 6448, 35, 79, 438, 1665, 284, 11418, 280, 33746, 32, 37535, 26, 1536, 47, 470, 1157, 284, 1201, 11418, 6448, 35, 79, 610, 739, 24562, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 6, 6, 5, 7, 7, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 5, 2, 2, 6, 6, 5, 7, 7, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 5, 2, 2, 6, 6, 5, 7, 7, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 5, 2, 2, 6, 6, 5, 7, 7, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 7, 7, 8, 8, 7, 4, 4, 5, 2, 2, 6, 6, 5, 7, 7, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 7, 7, 8, 8, 7, 4, 4, 5, 2, 2, 3, 6, 6, 5, 7, 7, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 7, 7, 8, 7, 4, 4, 5, 2, 2, 4, 4, 7, 7, 6, 7, 6, 6, 6, 7, 9, 9, 10, 10, 10, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 6, 6, 7, 9, 9, 10, 10, 10, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 10, 9, 9, 10, 9, 9, 10, 9, 6, 6, 2, 2, 3, 5, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 5, 6, 6, 6, 5, 4, 4, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 5, 4, 4, 7, 7, 7, 7, 7, 5, 7, 7, 2, 2, 5, 6, 6, 6, 5, 4, 4, 7, 7, 2, 2, 5, 6, 6, 6, 5, 4, 4, 7, 7, 5, 7, 7, 7, 2, 2, 3, 5, 6, 5, 4, 4, 7, 7, 7, 7, 7, 5, 7, 7, 2, 2, 3, 5, 7, 5, 4, 4, 2, 2, 4, 4, 6, 7, 6, 8, 7, 9, 9, 2, 2, 3, 5, 7, 5, 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 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 9, 1, 1, 11, 11, 1, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 1, 1, 9, 1, 1, 11, 11, 1, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 1, 1, 9, 1, 1, 11, 11, 1, 0, 0, 2, 4, 4, 6, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 1, 1, 9, 1, 1, 11, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 1, 11, 1, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 1, 1, 9, 1, 1, 11, 1, 1, 1, 4, 4, 8, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 4, 4, 5, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 4, 6, 0, 1, 0, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 1, 4, 4, 8, 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 ]
[ 505, 2116, 505, 225, 280, 313, 4232, 9427, 83, 20, 203, 505, 11794, 505, 280, 313, 10581, 308, 85, 27, 225, 36, 34, 34, 40, 31, 36, 34, 34, 42, 11985, 9427, 83, 20, 203, 505, 2077, 505, 280, 313, 6790, 11895, 20, 225, 203, 505, 1648, 505, 280, 3941, 606, 44, 4581, 63, 32, 978, 225, 38, 38, 38, 225, 36, 34, 34, 42, 31, 34, 37, 31, 35, 43, 225, 34, 35, 44, 37, 39, 44, 37, 39, 76, 323, 1575, 491, 17512, 203, 1070, 8560, 2059, 32, 8615, 1188, 26717, 203, 1070, 8560, 2059, 32, 8615, 1188, 15105, 203, 1070, 8560, 2059, 32, 1183, 32, 1711, 1188, 5245, 203, 465, 1346, 1199, 95, 203, 465, 2680, 7167, 203, 1270, 44, 284, 1188, 281, 14686, 274, 619, 19571, 203, 7343, 29986, 44, 284, 1188, 19571, 203, 823, 4581, 63, 308, 8615, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 26346, 280, 225, 34, 30, 5440, 761, 280, 1665, 30, 5799, 280, 1665, 30, 1115, 1132, 711, 291, 26717, 3667, 1664, 3207, 784, 30, 636, 30, 1115, 1132, 27, 291, 630, 32, 1199, 280, 29687, 1347, 26, 2181, 1365, 761, 1446, 829, 291, 630, 32, 1689, 280, 630, 32, 1199, 32, 1689, 291, 630, 32, 22715, 280, 629, 26, 22715, 27, 291, 630, 32, 5665, 280, 5799, 291, 415, 630, 32, 22715, 461, 5440, 761, 44, 324, 630, 32, 809, 280, 15105, 26, 809, 761, 27, 291, 813, 44, 324, 630, 32, 809, 280, 1665, 284, 665, 1156, 1731, 505, 308, 784, 711, 291, 442, 630, 32, 1199, 3667, 1731, 16369, 284, 665, 4240, 308, 784, 711, 291, 415, 630, 32, 809, 44, 442, 630, 32, 809, 32, 809, 346, 284, 665, 4583, 308, 784, 711, 291, 415, 19326, 26, 784, 32, 1199, 30, 313, 5207, 10280, 630, 32, 1199, 32, 5207, 346, 291, 415, 630, 32, 809, 44, 630, 32, 809, 32, 11200, 346, 284, 665, 34524, 308, 784, 711, 291, 415, 630, 32, 809, 44, 630, 32, 809, 32, 11200, 346, 284, 665, 5551, 308, 784, 30, 2125, 711, 291, 415, 630, 32, 5665, 44, 324, 2125, 32, 314, 280, 630, 32, 3215, 10189, 26, 1141, 32, 3274, 27, 291, 813, 44, 324, 361, 2139, 280, 630, 32, 21386, 81, 3274, 26, 1141, 32, 3274, 27, 324, 2125, 32, 314, 280, 630, 32, 1689, 26, 37531, 27, 291, 442, 630, 32, 1613, 26, 1141, 27, 284, 665, 5551, 10189, 26, 784, 30, 2787, 711, 291, 415, 646, 2787, 32, 4642, 32, 2040, 81, 678, 26, 784, 32, 5665, 711, 2607, 3636, 3268, 440, 10189, 1202, 10027, 101, 27, 5816, 645, 2787, 3107, 904, 630, 32, 5665, 27, 291, 2125, 280, 5245, 346, 291, 2125, 32, 5843, 77, 784, 32, 5665, 79, 280, 2787, 32, 4642, 77, 784, 32, 5665, 79, 291, 5359, 280, 630, 32, 1613, 26, 1141, 27, 291, 415, 2069, 26, 5905, 27, 848, 225, 35, 44, 324, 3636, 3268, 440, 8309, 884, 3134, 5359, 623, 322, 5799, 1202, 904, 101, 32, 30967, 1182, 6643, 623, 688, 3107, 904, 2787, 32, 4642, 77, 784, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 2, 1, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 6, 4, 4, 6, 5, 5, 4, 4, 5, 5, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 7, 7, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 11, 11, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 5, 7, 8, 6, 6, 7, 5, 5, 5, 9, 10, 8, 8, 10, 11, 11, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 2, 2, 3, 4, 4, 3, 5, 4, 3, 3, 5, 8, 9, 7, 8, 8, 2, 2, 3, 3, 5, 4, 3, 3, 5, 6, 7, 5, 5, 7, 10, 11, 9, 10, 9, 2, 2, 3, 3, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 7, 9, 9, 5, 10, 11, 9, 10, 9, 4, 4, 5, 6, 7, 5, 5, 10, 11, 9, 10, 9, 2, 2, 3, 3, 5, 4, 3, 3, 5, 6, 7, 5, 5, 10, 11, 9, 10, 9, 2, 2, 3, 3, 5, 4, 4, 4, 3, 3, 5, 6, 7, 5, 5, 5, 9, 10, 8, 8, 10, 11, 11, 10, 12, 11, 12, 10, 5, 5, 6, 6, 6, 10, 9, 9, 11, 12, 12, 12, 11, 13, 12, 13, 11, 7, 7, 10, 11, 9, 9, 11, 12, 11, 12, 11, 4, 4, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 9, 10, 8, 9, 9, 9, 8, 10, 9, 10, 8, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 9, 4, 4, 6, 6, 8, 4, 4, 8, 9, 7, 9, 8, 9, 7, 6, 6, 8, 9, 7, 9, 8, 9, 7, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 13, 11, 13, 12 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 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, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 7, 7, 0, 0, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 0, 0, 1, 1, 9, 3, 3, 3, 3, 3, 0, 0, 10, 10, 1, 10, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 7, 7, 2, 2, 9, 9, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 5, 0, 2, 1, 1, 2, 5, 5, 5, 0, 2, 0, 0, 1, 1, 1, 1, 5, 5, 4, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 3, 3, 1, 2, 3, 3, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 4, 4, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 4, 4, 4, 4, 1, 2, 4, 4, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 4, 4, 5, 5, 1, 2, 2, 2, 5, 5, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 1, 4, 4, 6, 1, 2, 1, 2, 2, 2, 6, 6, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2 ]
[ 1070, 29346, 32, 1637, 1188, 1938, 619, 1938, 81, 1647, 203, 1070, 29346, 32, 1637, 1188, 1938, 81, 470, 619, 1938, 81, 470, 81, 1647, 203, 823, 9041, 36, 34, 1969, 26, 1637, 81, 1647, 32, 1969, 711, 334, 665, 1156, 1664, 3207, 784, 30, 1984, 30, 1938, 81, 470, 30, 636, 1057, 7831, 284, 2599, 26, 3155, 36, 34, 1969, 30, 630, 14585, 1664, 3207, 965, 47, 965, 30, 1938, 81, 470, 47, 1637, 81, 470, 30, 636, 47, 426, 27, 284, 630, 32, 8929, 81, 605, 81, 761, 280, 4963, 605, 33, 11226, 81, 5866, 81, 1393, 81, 36, 34, 32, 1260, 25, 203, 823, 9041, 36, 34, 1969, 885, 26, 1637, 81, 470, 81, 1647, 32, 1969, 885, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 2599, 26, 3155, 36, 34, 1969, 885, 30, 630, 14585, 1664, 3207, 397, 13600, 81, 605, 81, 761, 37617, 605, 33, 11226, 81, 5866, 81, 1393, 81, 36, 34, 32, 1260, 683, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 463, 641, 555, 1499, 32, 2175, 32, 508, 7238, 5377, 47, 272, 24, 99, 47, 1632, 459, 29, 906, 4478, 370, 6029, 630, 490, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 463, 525, 555, 1499, 32, 11204, 32, 508, 370, 630, 490, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 26, 397, 330, 525, 555, 272, 32, 5224, 32, 12685, 32, 508, 33, 36, 34, 35, 36, 33, 34, 43, 33, 34, 38, 33, 33257, 631, 31, 21058, 31, 5728, 101, 31, 98, 6758, 31, 979, 31, 17667, 675, 31, 36, 34, 35, 36, 13093, 397, 630, 30, 330, 5095, 1380, 2847, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 463, 525, 555, 1499, 32, 9721, 32, 508, 33, 1632, 459, 906, 4478, 370, 630, 30, 6029, 330, 24249, 2847, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 463, 525, 555, 1499, 32, 17366, 32, 508, 33, 266, 33, 1800, 675, 271, 695, 3210, 370, 630, 30, 6029, 330, 15384, 383, 2847, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 463, 525, 555, 272, 32, 12393, 32, 1088, 33, 6419, 33, 73, 30318, 370, 630, 30, 6029, 330, 73, 30318, 308, 35, 4878, 27, 2847, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 463, 641, 555, 7625, 32, 508, 33, 17621, 7939, 994, 370, 630, 30, 330, 20328, 2847, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 463, 525, 555, 98, 13927, 32, 508, 370, 630, 30, 330, 66, 13927, 2847, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 463, 525, 555, 307, 7547, 32, 1704, 32, 508, 370, 630, 30, 330, 940, 11269, 2847, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 463, 525, 555, 7880, 32, 23643, 32, 508, 370, 630, 490, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 463, 525, 555, 1499, 32, 28873, 32, 508, 370, 630, 490, 284, 630, 32, 1103, 1969, 26, 3155, 36, 34, 1969, 26, 397, 330, 525, 555, 1499 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 7, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 8, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 9, 11, 11, 11, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 9, 11, 11, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 9, 11, 11, 11, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11 ]
[ 0, 0, 1, 2, 0, 0, 3, 3, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 3, 3, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 1, 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, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 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, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ]
[ 465, 16672, 203, 465, 5237, 203, 1070, 16198, 289, 32, 2304, 32, 725, 4339, 1188, 4600, 1290, 4339, 203, 589, 2575, 2262, 284, 4118, 280, 16672, 32, 26633, 26, 929, 23715, 47, 505, 1427, 7642, 291, 14971, 81, 823, 47, 626, 2208, 32, 6189, 3234, 9030, 8736, 27, 284, 4118, 32, 669, 81, 2669, 463, 2468, 370, 291, 3049, 1057, 12256, 556, 4749, 2965, 432, 1760, 1123, 4339, 683, 284, 4118, 32, 669, 81, 2669, 12664, 3419, 370, 1244, 47, 34, 30, 827, 47, 410, 30, 291, 3049, 1057, 3419, 372, 5313, 372, 322, 537, 4581, 683, 284, 2181, 280, 4118, 32, 2208, 81, 1132, 346, 284, 1459, 463, 42829, 1995, 4339, 11540, 4581, 683, 284, 4749, 81, 83, 280, 4600, 1290, 4339, 26, 1132, 32, 2468, 27, 284, 2287, 30, 963, 280, 4749, 81, 83, 32, 1199, 32, 4898, 81, 3259, 26, 1132, 32, 3419, 27, 284, 415, 2287, 863, 225, 34, 44, 291, 1459, 463, 776, 15438, 4581, 3803, 623, 1048, 28601, 291, 1459, 26, 541, 27, 291, 5237, 32, 4775, 26, 35, 27, 284, 813, 44, 291, 1459, 463, 1996, 11516, 30, 484, 3149, 9755, 14612, 1395, 1477, 322, 5316, 45882, 11834, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 5237, 32, 4775, 26, 1831, 1157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 7, 8, 8, 8, 6, 6, 8, 8, 7, 9, 9, 8, 9, 9, 9, 9, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 6, 7, 5, 5, 6, 7, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 8, 8, 7, 8, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 3, 4, 4, 5, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 3, 3, 4, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 4, 2, 2, 0, 0, 0, 3, 3, 2, 3, 3, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 7, 1, 1, 2, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 7, 7, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1516, 81, 371, 81, 2810, 280, 301, 284, 330, 2060, 81, 8242, 2347, 81, 20016, 81, 16772, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 8242, 2347, 81, 24285, 81, 16772, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 8242, 2347, 81, 23892, 81, 5975, 950, 225, 38, 30, 284, 330, 2060, 81, 8242, 2347, 81, 23964, 81, 16772, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 8242, 2347, 81, 7097, 81, 16772, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 20016, 81, 10030, 1099, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 20016, 81, 16772, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 20016, 81, 19958, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 20016, 81, 3765, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 20016, 81, 3765, 81, 12499, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 20016, 81, 3765, 81, 4182, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 41617, 81, 14421, 81, 18416, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 13236, 81, 15644, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 26264, 81, 8451, 69, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 32427, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 32427, 81, 28635, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 32427, 81, 12784, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 24285, 81, 10030, 1099, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 24285, 81, 16772, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 24285, 81, 19958, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 10923, 81, 41617, 81, 14421, 81, 18416, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 32498, 81, 2743, 21523, 34, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 32498, 81, 2743, 21523, 35, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 32498, 81, 2743, 21523, 36, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 32498, 81, 2743, 21523, 37, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 32498, 81, 2743, 21523, 38, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 32498, 81, 2743, 21523, 39, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 6224, 81, 9487, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 6224, 81, 9487, 81, 3364, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 6224, 81, 9487, 81, 42400, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 6224, 81, 9487, 81, 2319, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 6224, 81, 23892, 81, 5975, 950, 225, 38, 30, 284, 330, 2060, 81, 6224, 81, 19550, 81, 1952, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 6224, 81, 13238, 45846, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 6224, 81, 13238, 45846, 81, 9382, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 6224, 81, 13238, 45846, 81, 13301, 25, 499, 225, 35, 30, 284, 330, 2060, 81, 6224, 81, 26052, 81, 14421, 81, 18416, 25, 499, 225, 35, 30, 284, 330, 2060, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 9, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 11, 11, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 13, 13, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 15, 15, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 17, 17, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 19, 19, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 21, 21, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 23, 23, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 25, 25, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 27, 27, 2, 2, 2, 2, 1, 1, 1, 2, 29, 29, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 31, 31, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 33, 33, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 35, 35, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 37, 37, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 39, 39, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 41, 41, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 43, 43, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 45, 45, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 47, 47, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 49, 49, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 51, 51, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 53, 53, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 55, 55, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 57, 57, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 59, 59, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 61, 61, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 63, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 65, 65, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 67, 67, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 69, 69, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 71, 71, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 73, 73, 2, 2, 2, 2, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 465, 13092, 203, 465, 12643, 619, 6121, 203, 1070, 12643, 1188, 22365, 30, 10473, 1284, 30, 20886, 30, 2340, 81, 3585, 203, 1070, 12643, 32, 4882, 32, 1744, 32, 2282, 1188, 2108, 750, 203, 465, 12643, 32, 1040, 32, 4266, 619, 13845, 203, 1070, 12643, 32, 1040, 32, 4266, 1188, 1201, 81, 1744, 81, 2228, 30, 1201, 81, 8442, 81, 2228, 203, 823, 2108, 11364, 3910, 5665, 19401, 26, 24527, 711, 284, 665, 894, 81, 2592, 81, 86, 9016, 81, 14663, 26, 784, 711, 291, 665, 1505, 26, 1267, 30, 2799, 47, 2521, 711, 324, 415, 2799, 438, 646, 1665, 44, 400, 1201, 81, 1744, 81, 2228, 26, 1267, 30, 2799, 27, 324, 1056, 32, 48507, 324, 596, 26, 1267, 27, 291, 5923, 280, 2065, 32, 3855, 32, 39385, 26, 37, 30, 225, 36, 27, 291, 5417, 280, 1149, 26, 3585, 26, 36, 490, 291, 5018, 280, 22365, 26, 846, 30, 6090, 18278, 51, 392, 313, 51, 6890, 291, 5018, 32, 6057, 280, 5417, 291, 2799, 280, 22365, 26, 846, 30, 6090, 47, 2875, 27, 291, 1505, 26, 1479, 30, 2799, 27, 291, 5417, 280, 2340, 81, 3585, 440, 36, 34, 35, 37, 34, 35, 34, 35, 392, 34533, 47, 38, 30, 18754, 347, 67, 31, 2576, 72, 657, 291, 5018, 280, 22365, 26, 324, 3813, 35, 30, 225, 35, 30, 225, 35, 30, 225, 39, 614, 428, 35, 30, 225, 35, 30, 225, 36, 30, 225, 39, 614, 428, 36, 30, 225, 35, 30, 225, 37, 30, 225, 39, 6137, 6090, 18278, 83, 392, 313, 83, 392, 313, 83, 392, 313, 83, 1446, 291, 829, 291, 5018, 32, 6057, 280, 5417, 291, 2799, 280, 22365, 21145, 35, 30, 225, 35, 30, 225, 35, 30, 225, 39, 614, 428, 35, 30, 225, 35, 30, 225, 36, 30, 225, 39, 614, 428, 36, 30, 225, 35, 30, 225, 37, 30, 225, 39, 6137, 6090, 47, 2875, 27, 291, 1505, 26, 1479, 30, 2799, 27, 291, 5018, 280, 22365, 26, 324, 3813, 35, 30, 225, 35, 30, 225, 35, 30, 225, 39, 614, 428, 35, 30, 225, 35, 30, 225, 36, 30, 225, 39, 614, 428, 36, 30, 225, 35, 30, 225, 37, 30, 225, 39, 6137, 324, 6090, 18278, 3986, 392, 313, 1632, 392, 313, 3986, 392, 313, 7656, 3439, 291, 829, 291, 5018, 1365, 800, 1446, 280, 313, 84, 2371, 20, 291, 2799, 280, 22365, 26, 324, 3813, 35, 30, 225, 35, 30, 225, 35, 30, 225, 39, 30, 313, 84, 2371, 3439, 428, 35, 30, 225, 35, 30, 225, 36, 30, 225, 39, 30, 313, 84, 2371, 3439, 428, 36, 30, 225, 35, 30, 225, 37, 30, 225, 39, 30, 313, 84, 2371, 40428, 324, 6090, 18278, 3986, 392, 313, 1632, 392, 313, 3986, 392, 313, 7656, 392, 313, 800, 3439, 291, 829, 291, 1505, 26, 1479, 30, 2799, 27, 291, 623, 13092, 32, 16708, 26, 22239, 30, 2530, 347, 2380, 432, 786, 10280, 324, 5018, 32, 3215, 26, 34, 30, 313, 20976, 2137, 392, 2155, 26, 1657, 26, 1479, 32, 1055, 27, 429, 225, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 3, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 4, 4, 1, 2, 2, 3, 4, 3, 4, 3, 4, 2, 2, 4, 1, 2, 2, 4, 5, 4, 5, 3, 3, 1, 2, 2, 3, 4, 3, 4, 2, 2, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 7, 8, 7, 7, 8, 9, 7, 6, 6, 8, 9, 9, 9, 8, 8, 8, 12, 12, 12, 12, 12, 13, 12, 12, 12, 7, 7, 9, 10, 7, 7, 10, 11, 10, 5, 5, 7, 7, 10, 11, 9, 10, 9, 10, 9, 9, 10, 9, 5, 5, 7, 7, 9, 11, 11, 12, 11, 5, 5, 7, 7, 9, 10, 9, 9, 10, 13, 13, 11, 13, 13, 5, 5, 8, 9, 7, 7, 5, 5, 7, 7, 9, 10, 9, 9, 10, 11, 9, 5, 5, 8, 9, 8, 8, 8, 5, 5, 7, 7, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 10, 11, 9, 9, 10, 12, 12, 12, 12, 12, 5, 5, 7, 7, 9, 9, 9, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 9, 10, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 9, 9, 5, 5, 8, 9, 7, 7, 5, 5, 7, 7, 9, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 9, 10, 11, 9, 5, 5, 8, 9, 8, 8, 8, 5, 5, 7, 7, 9, 9, 9, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 9, 9, 10, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 9, 9, 5, 5, 8, 10, 10, 7, 7, 9, 9, 9, 5, 5, 7, 7, 9, 9, 9, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 11, 13, 13, 13, 10, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 11, 13, 13, 13, 10, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 11, 13, 13, 13, 9, 9, 10, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 11, 13, 13, 9, 9, 5, 5, 8, 9, 8, 8, 8, 5, 5, 6, 10, 11, 10, 11, 10, 10, 11, 13, 13, 13, 13, 6, 6, 10, 11, 10, 11, 10, 10, 12, 12, 12, 10, 12, 15, 15, 17, 16, 17, 15, 13, 13, 14 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 5, 5, 0, 2, 0, 4, 1, 1, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 3, 1, 2, 2, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 1, 3, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 1, 3, 2, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 1, 1, 3, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 4, 4, 0, 1, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 7, 3, 3, 1, 1, 2, 1, 1, 5, 5, 3, 5, 5, 5, 5, 5, 7, 5, 5, 1, 1, 2, 1, 1, 3, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 4, 4, 16, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, 16, 16, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2 ]
[ 505, 464, 505, 280, 428, 284, 330, 1484, 1290, 17450, 6636, 25, 203, 79, 203, 465, 2361, 203, 1070, 5034, 3209, 32, 2282, 32, 267, 725, 1188, 2704, 1290, 2798, 203, 1070, 5034, 3209, 32, 12236, 32, 2516, 1188, 15728, 30, 9803, 620, 203, 1070, 5034, 3209, 32, 12236, 32, 1439, 1188, 13569, 6636, 30, 24123, 30, 9803, 203, 5807, 81, 27368, 81, 29019, 280, 225, 35, 36, 34, 34, 203, 823, 2704, 1290, 17450, 6636, 26, 17450, 6636, 711, 284, 827, 280, 15728, 32, 567, 6870, 284, 636, 280, 330, 1484, 1290, 25, 284, 9575, 280, 330, 525, 555, 267, 725, 32, 508, 7404, 284, 3387, 24851, 280, 2704, 1290, 2798, 284, 26704, 3068, 81, 2319, 81, 5834, 280, 301, 291, 9803, 620, 32, 3629, 51, 44, 330, 3629, 51, 370, 291, 9803, 620, 32, 3020, 44, 330, 3020, 370, 291, 9803, 620, 32, 51, 44, 330, 51, 370, 291, 9803, 620, 32, 5869, 44, 330, 5869, 370, 291, 9803, 620, 32, 53, 2474, 44, 330, 53, 2474, 370, 291, 9803, 620, 32, 11737, 44, 330, 11737, 370, 291, 9803, 620, 32, 26755, 44, 330, 26755, 370, 291, 9803, 620, 32, 33861, 44, 330, 33861, 370, 284, 320, 284, 665, 1149, 81, 20840, 26, 784, 711, 291, 1789, 280, 630, 32, 3841, 32, 1357, 3247, 12236, 81, 20840, 32, 1260, 683, 291, 32019, 280, 630, 1114, 452, 81, 20840, 26, 1986, 32, 1473, 27, 291, 442, 32019, 284, 665, 622, 81, 5634, 26, 784, 30, 10790, 81, 314, 711, 291, 1789, 280, 630, 32, 3841, 32, 1357, 3247, 12236, 81, 20840, 9708, 101, 32, 1260, 25, 904, 10790, 81, 314, 27, 291, 10790, 280, 630, 1114, 452, 81, 5634, 26, 1986, 32, 1473, 27, 291, 442, 10790, 284, 665, 1487, 81, 5634, 26, 784, 30, 5880, 30, 827, 1057, 2590, 370, 28400, 47, 2521, 30, 6717, 47, 2521, 711, 291, 22329, 81, 5634, 280, 5053, 426, 950, 5880, 111, 291, 415, 6717, 438, 646, 1665, 44, 324, 22329, 81, 5634, 32, 1877, 26, 7615, 27, 291, 22329, 81, 5634, 81, 605, 280, 2361, 32, 16958, 14178, 12236, 81, 5634, 950, 22329, 81, 5634, 1748, 291, 1789, 280, 630, 32, 3841, 32, 1357, 26, 324, 3056, 12236, 81, 20840, 32, 1260, 370, 324, 1411, 1057, 3705, 370, 324, 4826, 7814, 1777, 31, 681, 563, 313, 3164, 33, 1260, 3918, 324, 706, 47, 12236, 81, 5634, 81, 605, 27, 291, 10790, 280, 630, 1114, 452, 81, 5634, 26, 1986, 32, 1473, 27, 291, 442, 10790, 284, 665, 3066, 81, 5634, 26, 784, 30, 10790, 711, 291, 630, 32, 3841, 32, 1357, 26, 324, 3056, 12236, 81, 20840, 9708, 101, 32, 1260, 25, 904, 10790, 32, 314, 30, 324, 1411, 1057, 6691, 683, 291, 442, 2933, 284, 665, 1149, 81, 11541, 26, 784, 30, 10790, 711, 291, 1789, 280, 630, 32, 3841, 32, 1357, 26, 324, 3056, 12236, 81, 20840, 9708, 101, 33, 11541, 32, 1260, 25, 904, 10790, 32, 314, 27, 291, 22329, 81, 11541, 280, 1789, 32, 1473, 710, 12236, 81, 5634, 4902, 11541, 785, 291, 9212, 280, 630, 1114, 452, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 5, 6, 6, 2, 2, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 5, 8, 7, 8, 8, 6, 6, 8, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 5, 5, 8, 7, 8, 8, 6, 6, 8, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 5, 5, 8, 7, 8, 6, 6, 8, 8, 5, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 7, 7, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 10, 10, 8, 7, 4, 4, 5, 6, 6, 6, 5, 5, 5, 10, 10, 9, 10, 9, 10, 9, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 8, 12, 12, 12, 12, 10, 11, 11, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 9, 11, 11, 8, 8, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 8, 8, 9, 10, 10, 10, 10, 10, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 7, 7, 8, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 11, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 10, 10, 10, 10, 9, 9, 4, 4, 6, 6, 8, 9, 9 ]
[ 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 6, 6, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 3, 3, 1, 2, 2, 2, 0, 0, 2, 5, 5, 1, 2, 2, 2, 0, 0, 2, 7, 7, 1, 2, 2, 2, 0, 0, 2, 2, 9, 9, 1, 1, 2, 2, 2, 0, 0, 2, 11, 11, 1, 2, 2, 2, 0, 0, 2, 13, 13, 1, 2, 2, 2, 0, 0, 2, 15, 15, 1, 2, 2, 2, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 4, 4, 6, 1, 1, 2, 1, 2, 2, 3, 3, 2, 6, 6, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 4, 4, 7, 1, 1, 2, 1, 2, 2, 2, 2, 5, 1, 2, 2, 7, 2, 2, 2, 9, 2, 2, 7, 7, 0, 0, 0, 0, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 7, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 5, 4, 4, 8, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 3, 1, 2, 4, 4, 1, 4, 4, 9, 1, 1, 2, 1, 2, 2, 2, 9, 9, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2 ]
[ 1070, 7079, 1188, 394, 6954, 5506, 203, 1070, 11337, 1188, 394, 9998, 203, 589, 12741, 26, 14660, 81, 1473, 30, 1090, 7079, 81, 5792, 47, 70, 6954, 5506, 32, 70, 6954, 5506, 2214, 22805, 284, 11337, 280, 394, 9998, 32, 70, 5017, 2013, 346, 284, 7079, 280, 7079, 81, 5792, 32, 371, 5506, 26, 9613, 27, 284, 23729, 81, 1473, 32, 1821, 26, 5721, 27, 284, 442, 11337, 32, 371, 853, 346, 203, 589, 16975, 26, 1439, 30, 400, 4845, 30, 400, 7079, 81, 5792, 47, 70, 6954, 5506, 32, 70, 6954, 5506, 2214, 22805, 284, 11337, 280, 394, 9998, 32, 70, 5017, 2013, 26, 1954, 27, 284, 7079, 280, 7079, 81, 5792, 32, 371, 5506, 26, 9613, 27, 284, 1695, 32, 850, 26, 5721, 27, 284, 442, 1695, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 2, 2, 4, 4, 3, 6, 6, 6, 5, 6, 6, 6, 6, 5, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 7, 6, 2, 2, 6, 6, 5, 6, 5, 6, 5, 2, 2, 3, 5, 6, 6, 5, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 3, 6, 6, 6, 5, 6, 6, 6, 6, 5, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 7, 6, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 7, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 0, 2, 2, 1, 0, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 5, 0, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3619, 203, 465, 2322, 203, 1070, 617, 12408, 32, 1163, 1188, 622, 81, 1163, 30, 4354, 858, 43431, 203, 1070, 617, 12408, 32, 1831, 1188, 24940, 81, 3908, 4128, 69, 39490, 1345, 203, 50, 12408, 32, 12940, 203, 589, 13092, 4911, 2262, 284, 442, 4354, 858, 43431, 346, 203, 823, 2108, 4997, 858, 4152, 39673, 44, 284, 665, 894, 81, 669, 12329, 81, 468, 708, 445, 2796, 26, 784, 30, 894, 1515, 711, 291, 894, 1515, 32, 2682, 978, 761, 26, 890, 12329, 347, 1010, 324, 665, 13092, 81, 1772, 7133, 26, 11469, 711, 400, 313, 890, 11962, 20, 291, 3330, 657, 291, 3570, 280, 894, 1515, 32, 2682, 468, 708, 445, 27265, 324, 1188, 5237, 2082, 5237, 32, 983, 32, 3215, 26, 34, 30, 41723, 324, 1188, 537, 12329, 324, 665, 13092, 81, 669, 12329, 26, 2796, 4018, 711, 400, 3973, 4018, 32, 669, 12329, 26, 890, 12329, 27, 324, 665, 13092, 81, 1772, 7133, 26, 11469, 711, 400, 442, 22090, 474, 225, 35, 291, 3330, 657, 291, 1359, 280, 622, 81, 1163, 346, 291, 15650, 280, 1359, 32, 2796, 4018, 291, 15650, 32, 7133, 32, 12408, 81, 669, 12329, 32, 1851, 81, 90, 26150, 26, 1378, 10306, 47, 2665, 26, 2796, 4018, 47, 1163, 32, 2796, 4018, 490, 291, 1359, 32, 2796, 4018, 1114, 465, 468, 708, 445, 26, 2957, 27, 291, 736, 280, 1359, 32, 7133, 32, 12408, 81, 1772, 7133, 26, 11469, 47, 35, 34, 27, 291, 1201, 736, 610, 428, 35, 35, 79, 284, 665, 894, 81, 669, 12329, 81, 1347, 12329, 26, 784, 30, 894, 1515, 711, 291, 894, 1515, 32, 2682, 468, 708, 445, 27265, 324, 1188, 5237, 324, 665, 13092, 81, 669, 12329, 26, 2796, 4018, 711, 400, 3973, 4018, 32, 669, 12329, 26, 3731, 27, 291, 3330, 657, 291, 736, 280, 894, 1515, 32, 1945, 12408, 346, 291, 1201, 736, 32, 2094, 863, 225, 34, 291, 736, 32, 8228, 32, 3359, 2872, 81, 4446, 2009, 324, 11570, 14337, 646, 2290, 28, 3731, 22189, 291, 8834, 284, 665, 894, 81, 2011, 81, 33772, 81, 1070, 81, 465, 26, 784, 30, 894, 1515, 711, 291, 298, 280, 894, 1515, 32, 2682, 978, 761, 27265, 324, 645, 13092, 1188, 6324, 324, 645, 13092, 1188, 6324, 619, 6324, 36, 324, 1201, 6324, 438, 6324, 36, 291, 3330, 657, 291, 1056, 280, 894, 1515, 32, 1945, 2958, 26, 98, 27, 291, 1201, 1056, 32, 2094, 610, 225, 34, 284, 665, 894, 81, 1409, 81, 407, 81, 2011, 26, 784, 30, 894, 1515, 711, 291, 894, 1515, 32, 2682, 468, 708, 445, 27265, 324, 665, 13092, 81, 2011, 2262, 400, 442, 5053, 7656, 950, 330, 5860, 6040, 291, 3330, 657, 291, 298, 280, 894, 1515, 32, 2682, 978, 761, 27265, 324, 645, 13092, 1188, 17964, 324, 1188, 13092, 324, 665, 894, 81, 7656, 2262, 400, 1201, 17964, 610, 313, 5860, 20, 400, 1201, 330, 7656, 25, 328, 13092, 3667, 464, 505, 291, 3330, 657, 291, 316, 4677, 280, 894, 1515, 32, 3221, 81, 1945, 26, 98, 27, 291, 316, 4677, 32, 40043, 37854, 3749, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 2, 2, 4, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 8, 4, 4, 6, 6, 7, 8, 8, 4, 4, 9, 10, 8, 9, 9, 9, 9, 7, 8, 8, 8, 8, 7, 7, 7, 8, 10, 10, 12, 12, 11, 13, 12, 13, 13, 10, 4, 4, 8, 9, 9, 7, 8, 8, 8, 8, 7, 8, 7, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 5, 6, 6, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 9, 8, 9, 9, 8, 4, 4, 5, 7, 8, 6, 6, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 7, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 6, 6, 9, 8, 9, 9, 8, 9, 8, 4, 4, 5, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 8, 9, 8, 4, 4, 8, 7, 8, 8, 8, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 6, 6, 1, 1, 1, 1, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 7, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 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, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 2, 0, 2, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 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, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1 ]
[ 465, 3704, 37109, 203, 589, 3704, 37109, 1006, 26, 3922, 30, 420, 18182, 711, 284, 40790, 280, 3177, 284, 1596, 44, 291, 4118, 32, 2208, 27265, 324, 2568, 17981, 1868, 30227, 49111, 35, 301, 1090, 19037, 409, 21768, 1905, 308, 8854, 652, 636, 293, 1090, 19037, 1905, 308, 8854, 652, 636, 293, 324, 1472, 291, 3330, 657, 291, 3276, 280, 4118, 32, 11333, 346, 284, 2940, 44, 291, 40790, 280, 2933, 284, 420, 18182, 32, 1253, 26, 349, 10825, 30, 313, 6469, 1159, 12163, 7144, 284, 40790, 280, 3177, 284, 1596, 44, 291, 4118, 32, 2208, 27265, 324, 2568, 17981, 1868, 30227, 49111, 35, 301, 1090, 409, 21768, 1905, 308, 8854, 652, 636, 293, 1090, 19037, 409, 21768, 1905, 308, 8854, 652, 636, 293, 324, 1472, 291, 3330, 657, 291, 3276, 280, 4118, 32, 11333, 346, 284, 2940, 44, 291, 40790, 280, 2933, 284, 420, 18182, 32, 1253, 26, 349, 10825, 30, 313, 6469, 1159, 12163, 7144, 284, 40790, 280, 3177, 284, 1596, 44, 291, 4118, 32, 2208, 27265, 324, 2568, 17981, 1868, 30227, 49111, 35, 301, 1090, 25316, 21231, 1905, 308, 8854, 652, 636, 293, 1090, 21231, 1905, 308, 8854, 652, 636, 293, 324, 1472, 291, 3330, 657, 291, 3276, 280, 4118, 32, 11333, 346, 284, 2940, 44, 291, 40790, 280, 2933, 284, 420, 18182, 32, 1253, 26, 349, 10825, 30, 313, 6469, 1159, 12163, 7144, 284, 40790, 280, 3177, 284, 1596, 44, 291, 4118, 32, 2208, 27265, 324, 2568, 17981, 1868, 30227, 49111, 35, 301, 1090, 25316, 1905, 308, 8854, 652, 636, 293, 1090, 21231, 25316, 1905, 308, 8854, 652, 636, 293, 324, 1472, 291, 3330, 657, 291, 3276, 280, 4118, 32, 11333, 346, 284, 2940, 44, 291, 40790, 280, 2933, 284, 420, 18182, 32, 1253, 26, 349, 10825, 30, 313, 6469, 1159, 12163, 7144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 3, 3, 7, 8, 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, 4, 4, 6, 6, 8, 9, 8, 3, 3, 4, 4, 4, 7, 7, 2, 2, 6, 5, 6, 5, 6, 6, 5, 5, 7, 7, 7, 7, 2, 2, 4, 4, 2, 2, 3, 3, 3, 7, 8, 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, 4, 4, 6, 6, 8, 9, 8, 3, 3, 4, 4, 4, 7, 7, 2, 2, 6, 5, 6, 5, 6, 6, 5, 5, 7, 7, 7, 7, 2, 2, 4, 4, 2, 2, 3, 3, 3, 7, 8, 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, 4, 4, 6, 6, 8, 9, 8, 3, 3, 4, 4, 4, 7, 7, 2, 2, 6, 5, 6, 5, 6, 6, 5, 5, 7, 7, 7, 7, 2, 2, 4, 4, 2, 2, 3, 3, 3, 7, 8, 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, 4, 4, 6, 6, 8, 9, 8, 3, 3, 4, 4, 4, 7, 7, 2, 2, 6, 5, 6, 5, 6, 6, 5, 5, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 4, 4, 1, 1, 1, 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, 2, 2, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 3, 3, 3, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 7, 7, 7, 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, 2, 2, 2, 0, 0, 0, 2, 1, 7, 7, 3, 3, 3, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 10, 10, 10, 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, 2, 2, 2, 0, 0, 0, 2, 1, 10, 10, 3, 3, 3, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3995, 203, 1070, 3872, 32, 17935, 1188, 24493, 9189, 203, 1070, 3872, 32, 2795, 1188, 4187, 203, 1070, 372, 388, 875, 32, 331, 3141, 99, 1188, 498, 15204, 3771, 1761, 203, 823, 498, 15204, 3771, 17243, 26, 62, 15204, 3771, 1761, 32, 62, 15204, 3771, 1761, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3420, 4411, 30, 3420, 4976, 30, 3420, 4863, 3552, 30, 3420, 885, 3552, 711, 291, 498, 15204, 3771, 1761, 32, 62, 15204, 3771, 1761, 3667, 1664, 3207, 784, 30, 3420, 4411, 30, 3420, 4976, 30, 3420, 4863, 3552, 30, 3420, 885, 3552, 27, 291, 630, 32, 470, 3552, 1250, 26, 39, 30, 225, 39, 27, 291, 630, 32, 5006, 3552, 346, 284, 665, 8888, 26, 784, 711, 291, 415, 646, 630, 32, 88, 2372, 2034, 44, 324, 630, 32, 5006, 3552, 346, 324, 630, 32, 1298, 4863, 3552, 346, 291, 498, 15204, 3771, 1761, 32, 62, 15204, 3771, 1761, 32, 4463, 26, 784, 27, 284, 665, 28334, 26, 784, 711, 291, 630, 32, 5006, 3552, 346, 291, 630, 32, 1298, 4863, 3552, 346, 291, 498, 15204, 3771, 1761, 32, 62, 15204, 3771, 1761, 32, 1573, 26, 784, 27, 284, 665, 1477, 3552, 26, 784, 711, 291, 498, 15204, 3771, 1761, 32, 62, 15204, 3771, 1761, 32, 1366, 3552, 26, 784, 27, 291, 436, 2623, 328, 35198, 26, 34, 30, 630, 32, 3365, 2567, 74, 711, 324, 436, 2698, 328, 35198, 26, 34, 30, 630, 32, 3365, 2567, 75, 711, 400, 9617, 280, 3995, 32, 11447, 2009, 3486, 35, 34, 30, 3486, 35, 37, 1130, 400, 630, 32, 3365, 750, 77, 2592, 1674, 643, 79, 280, 9617, 291, 436, 2623, 328, 35198, 26, 34, 30, 630, 32, 3365, 2567, 74, 711, 324, 630, 32, 3365, 750, 77, 2592, 1674, 784, 32, 3365, 2567, 75, 429, 225, 35, 79, 280, 225, 35, 36, 284, 665, 8977, 26, 784, 30, 8977, 74, 30, 8977, 75, 30, 3610, 106, 280, 429, 35, 30, 3610, 107, 280, 429, 35, 711, 291, 415, 630, 32, 88, 2372, 2034, 44, 324, 442, 1665, 291, 415, 630, 32, 3365, 750, 77, 11357, 74, 1674, 11357, 75, 79, 610, 225, 35, 34, 44, 324, 630, 32, 3365, 750, 77, 11357, 74, 1674, 11357, 75, 79, 280, 225, 35, 37, 291, 4348, 630, 32, 3365, 750, 77, 11357, 74, 1674, 11357, 75, 79, 610, 225, 35, 37, 44, 324, 630, 32, 3365, 750, 77, 11357, 74, 1674, 11357, 75, 79, 280, 225, 35, 34, 291, 415, 630, 32, 1553, 1562, 8473, 2262, 324, 630, 32, 4463, 346, 291, 813, 44, 324, 630, 32, 1298, 4863, 3552, 346, 284, 665, 1505, 1562, 8473, 26, 784, 711, 291, 2385, 35, 280, 225, 34, 291, 2385, 36, 280, 225, 34, 291, 436, 2623, 328, 35198, 26, 34, 30, 630, 32, 3365, 2567, 74, 711, 324, 436, 2698, 328, 35198, 26, 34, 30, 630, 32, 3365, 2567, 75, 711, 400, 415, 630, 32, 3365, 750, 77, 2592, 1674, 643, 79, 610, 225, 35, 34, 44, 528, 2385, 35, 1454, 225, 35, 528, 4036, 400, 415, 630, 32, 3365, 750, 77, 2592 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 9, 9, 9, 8, 9, 9, 9, 9, 7, 8, 8, 8, 7, 7, 8, 7, 7, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 8, 8, 8, 5, 5, 5, 9, 10, 10, 9, 6, 6, 9, 10, 10, 10, 9, 4, 4, 9, 9, 9, 8, 9, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 4, 4, 9, 9, 9, 8, 9, 9, 9, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 9, 9, 8, 9, 9, 9, 9, 7, 8, 8, 7, 8, 7, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 9, 9, 9, 7, 5, 5, 7, 7, 7, 9, 10, 9, 9, 10, 11, 11, 11, 9, 7, 7, 10, 10, 12, 13, 12, 13, 14, 14, 13, 13, 14, 14, 13, 8, 8, 13, 14, 14, 12, 13, 12, 12, 11, 10, 10, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 9, 9, 9, 7, 5, 5, 11, 12, 12, 10, 11, 10, 12, 11, 12, 12, 12, 10, 10, 11, 9, 8, 8, 9, 9, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 6, 5, 5, 7, 4, 4, 6, 5, 5, 7, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 4, 4, 5, 9, 10, 10, 8, 9, 9, 8, 8, 8, 7, 6, 6, 7, 7, 5, 5, 5, 11, 12, 12, 10, 11, 11, 10, 10, 10, 9, 8, 8, 9, 9, 5, 5, 6, 10, 11, 11, 9, 10, 10, 9, 9, 9, 8, 7, 7, 8, 8, 6, 6, 6, 12, 13, 13, 11, 12, 12, 11, 11, 11, 10, 9, 9, 10, 10, 4, 4, 5, 7, 8, 8, 8, 7, 5, 5, 9, 10, 9, 5, 5, 6, 6, 6, 10, 11, 11, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 7, 4, 4, 7, 6, 6, 7, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 9, 9, 9, 7, 5, 5, 7, 7, 7, 9, 10, 9, 9, 10, 11, 11, 11, 9, 7, 7, 9, 13, 14, 14, 12, 13, 12, 12, 11, 10, 10, 11, 11, 9, 9, 9, 13, 12, 12, 13, 10, 10, 8, 8, 9, 13, 14, 14, 12, 13 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 7, 2, 2, 9, 9, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 1, 1, 9, 9, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 4, 4, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 4, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 0, 7, 7, 1, 2, 2, 0, 9, 9, 1, 2, 4, 4, 0, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 4, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 4, 4, 4, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 4, 4, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 4, 4, 4, 0, 2, 2, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 3, 3, 5, 5, 1, 0, 2, 2, 0, 2 ]
[ 20, 7083, 322, 8253, 20, 203, 465, 2322, 30, 5237, 30, 3995, 30, 1133, 30, 26313, 30, 27374, 203, 1270, 44, 645, 14323, 1188, 14323, 203, 7343, 29986, 44, 645, 5523, 1188, 14323, 203, 465, 5238, 30, 13249, 30, 29439, 30, 11024, 203, 1070, 29439, 1188, 4588, 30, 1048, 203, 1070, 14077, 1188, 319, 203, 41684, 280, 225, 35, 39, 203, 1945, 81, 1455, 280, 26313, 32, 3021, 32, 1945, 203, 589, 1420, 2740, 1132, 30, 1115, 5321, 711, 203, 202, 1270, 44, 357, 202, 1945, 81, 1455, 2740, 1132, 30, 1115, 5321, 27, 203, 202, 7343, 308, 12371, 19497, 30, 1171, 8112, 711, 357, 202, 13225, 203, 202, 7343, 44, 357, 202, 3731, 32, 327, 369, 3167, 1154, 2740, 3731, 32, 14806, 81, 1338, 1157, 203, 42183, 32, 3021, 32, 1945, 280, 1420, 203, 589, 2164, 81, 2795, 26, 1421, 93, 711, 203, 202, 95, 280, 273, 1990, 32, 2590, 203, 202, 325, 345, 32, 4048, 44, 357, 202, 95, 32, 541, 32, 524, 26, 1421, 93, 27, 357, 202, 601, 203, 202, 1270, 44, 357, 202, 1421, 93, 32, 7101, 32, 84, 1381, 32, 1216, 541, 26, 1421, 93, 32, 2751, 1157, 357, 202, 325, 273, 1990, 3667, 823, 9818, 4597, 44, 2152, 280, 273, 1990, 3667, 823, 9818, 4597, 26, 1421, 93, 27, 357, 202, 1824, 44, 2152, 280, 273, 1990, 32, 1851, 81, 1945, 346, 203, 202, 7343, 3268, 30, 484, 44, 357, 202, 1421, 93, 32, 530, 81, 2076, 280, 13249, 32, 327, 81, 3034, 346, 357, 202, 1421, 93, 32, 2040, 1945, 280, 46995, 357, 202, 95, 32, 731, 81, 4531, 26, 1421, 93, 27, 357, 202, 95, 32, 541, 32, 524, 26, 1421, 93, 27, 357, 202, 601, 203, 202, 325, 2152, 44, 357, 202, 1421, 93, 32, 530, 81, 687, 280, 2152, 357, 202, 1421, 93, 32, 2040, 1945, 280, 9964, 7877, 1345, 203, 202, 1824, 44, 357, 202, 1270, 44, 355, 202, 1421, 93, 32, 1526, 81, 1945, 346, 357, 202, 7343, 13249, 32, 73, 1549, 924, 44, 355, 202, 4617, 357, 202, 7343, 3268, 44, 355, 202, 1421, 93, 32, 530, 81, 2076, 280, 13249, 32, 327, 81, 3034, 346, 355, 202, 1421, 93, 32, 2040, 1945, 280, 46995, 357, 202, 1824, 44, 355, 202, 1421, 93, 32, 2040, 1945, 280, 18850, 203, 202, 325, 273, 1990, 32, 2040, 1945, 863, 18850, 44, 357, 202, 95, 32, 731, 81, 4531, 26, 1421, 93, 27, 203, 202, 95, 32, 541, 32, 524, 26, 1421, 93, 27, 203, 823, 4187, 9117, 26, 42183, 32, 3021, 711, 203, 202, 2584, 280, 14323, 26, 34, 27, 203, 202, 39270, 483, 280, 1605, 203, 202, 589, 1156, 1664, 3207, 784, 711, 357, 202, 42183, 32, 3021, 3667, 1664, 3207, 784, 27, 357, 202, 784, 32, 470, 26376, 26, 35, 27, 357, 202, 784, 32, 1366, 346, 203, 202, 589, 1420, 26, 784, 711, 357, 202, 1270, 44, 355, 202, 784, 32, 5837, 346, 357, 202, 7343, 44, 355, 202, 4617, 203, 202, 589, 5258, 26, 784, 711, 357, 202, 5525, 225, 35, 44, 355, 202, 1421, 93 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 4, 5, 3, 4, 0, 1, 1, 2, 4, 2, 2, 4, 2, 1, 1, 3, 3, 3, 3, 7, 7, 7, 7, 9, 7, 7, 9, 7, 3, 3, 4, 4, 6, 6, 5, 5, 6, 5, 4, 4, 6, 3, 3, 4, 4, 4, 4, 9, 8, 9, 9, 9, 9, 8, 12, 11, 12, 12, 12, 11, 0, 5, 4, 5, 3, 4, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 6, 5, 6, 2, 2, 3, 3, 4, 5, 3, 3, 3, 9, 8, 9, 7, 8, 7, 8, 8, 7, 4, 4, 5, 2, 2, 3, 3, 3, 3, 10, 10, 9, 10, 8, 9, 9, 7, 8, 8, 7, 10, 10, 9, 10, 9, 4, 4, 5, 5, 8, 7, 8, 8, 7, 5, 5, 8, 8, 12, 11, 12, 12, 11, 10, 11, 11, 10, 5, 5, 6, 6, 6, 9, 9, 12, 11, 12, 12, 12, 11, 3, 3, 4, 4, 4, 4, 4, 4, 4, 9, 9, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 9, 5, 5, 9, 9, 8, 9, 9, 7, 7, 5, 5, 9, 8, 9, 9, 9, 8, 9, 9, 8, 5, 5, 10, 9, 10, 8, 9, 8, 9, 9, 8, 5, 5, 6, 2, 2, 3, 3, 3, 3, 3, 8, 8, 7, 8, 8, 8, 6, 6, 4, 4, 8, 8, 7, 8, 8, 6, 6, 7, 7, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 11, 11, 10, 11, 11, 11, 10, 6, 6, 7, 7, 8, 9, 9, 9, 7, 7, 7, 9, 6, 6, 7, 7, 7, 7, 7, 12, 12, 11, 12, 12, 12, 10, 10, 12, 13, 13, 13, 12, 8, 8, 12, 12, 11, 12, 12, 10, 10, 6, 6, 7, 7, 7, 7, 12, 12, 11, 12, 12, 10, 10, 2, 2, 3, 3, 6, 5, 6, 6, 4, 4, 3, 3, 3, 8, 7, 8, 8, 8, 7, 8, 8, 7, 2, 2, 7, 6, 7, 5, 6, 5, 6, 6, 5, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 9, 8, 9, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 8, 7, 4, 4, 8, 7, 8, 7, 2, 2, 3, 3, 4, 5, 4, 3, 3, 5, 5, 5, 5, 10, 9, 10, 9, 5, 5, 6, 6, 6, 6, 8, 2, 2, 3, 3, 4, 5, 4, 3, 3, 5, 5, 6, 5, 5, 5, 9, 9 ]
[ 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 4, 4, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 8, 8, 2, 1, 2, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 10, 10, 1, 1, 2, 1, 1, 2, 10, 10, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 5, 5, 0, 0, 0, 2, 2, 0, 0, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 5, 5, 0, 0, 2, 0, 2, 1, 1, 1, 1, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 2, 2, 0, 0, 2, 2, 3, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 3, 3, 1, 2, 2, 2, 3, 3, 3, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 2, 2, 0, 0, 4, 4, 4, 4, 0, 0, 2, 2, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 11, 11, 1, 2, 0, 1, 2, 2, 11, 11, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 4, 4, 3, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 2, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 35094, 1188, 11665, 203, 465, 5741, 203, 1070, 6382, 32, 4275, 1188, 2330, 924, 203, 1070, 638, 1163, 1188, 622, 81, 2122, 81, 426, 81, 1070, 81, 1299, 30, 8145, 924, 203, 1070, 638, 913, 1188, 4040, 81, 14247, 30, 41408, 81, 12146, 30, 41408, 81, 12744, 30, 41408, 81, 4431, 81, 6664, 203, 1070, 638, 2630, 1188, 9095, 203, 1070, 638, 18244, 1188, 1505, 81, 979, 81, 18244, 81, 12824, 203, 1070, 638, 2122, 1188, 4851, 203, 1070, 638, 2304, 1188, 11935, 81, 4526, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 3844, 81, 2122, 81, 48719, 26, 4255, 711, 284, 707, 27262, 280, 6683, 31445, 284, 14016, 81, 27262, 280, 739, 346, 284, 8594, 81, 4255, 280, 1605, 284, 665, 622, 81, 2122, 81, 4243, 26, 7676, 711, 291, 442, 428, 1204, 32, 2998, 16487, 11968, 34, 79, 436, 2552, 328, 7324, 79, 284, 665, 622, 81, 2122, 81, 9680, 101, 26, 2122, 81, 2665, 30, 6683, 711, 291, 636, 280, 2719, 81, 2665, 710, 426, 785, 291, 442, 428, 324, 2719, 436, 2719, 328, 6683, 324, 415, 308, 426, 328, 622, 81, 2122, 81, 4243, 26, 2122, 32, 371, 463, 7676, 370, 1605, 490, 556, 400, 636, 328, 2719, 32, 371, 463, 27611, 81, 1070, 370, 11544, 556, 400, 636, 610, 622, 81, 2122, 81, 426, 81, 1070, 81, 1299, 26, 2122, 32, 371, 463, 1299, 21180, 291, 1481, 284, 665, 7725, 26, 96, 711, 291, 415, 310, 710, 426, 785, 328, 14016, 81, 27262, 44, 324, 415, 310, 710, 426, 785, 328, 622, 81, 2122, 81, 4243, 26, 96, 32, 371, 463, 7676, 370, 1605, 8531, 400, 3636, 17909, 924, 463, 51, 2719, 883, 646, 2552, 372, 8015, 44, 904, 101, 25, 904, 310, 710, 426, 3490, 324, 415, 310, 710, 426, 785, 328, 310, 32, 371, 463, 27611, 81, 1070, 370, 1605, 711, 400, 3636, 17909, 924, 463, 51, 2719, 883, 646, 10874, 8015, 619, 6864, 44, 904, 101, 25, 904, 310, 710, 426, 3490, 324, 813, 44, 400, 3636, 17909, 924, 463, 33603, 1188, 3733, 904, 101, 25, 904, 330, 461, 5608, 2524, 26, 29820, 81, 27262, 490, 291, 415, 310, 328, 707, 27262, 44, 324, 14016, 81, 27262, 32, 669, 26, 96, 710, 426, 3490, 324, 436, 345, 328, 622, 81, 2122, 81, 9680, 101, 26, 96, 30, 6683, 711, 400, 7725, 26, 95, 27, 324, 14016, 81, 27262, 32, 2546, 26, 96, 710, 426, 3490, 324, 707, 27262, 32, 2546, 26, 96, 27, 324, 8594, 81, 4255, 32, 3215, 26, 34, 30, 310, 27, 284, 2218, 707, 27262, 44, 291, 7725, 26, 311, 27262, 6448, 35, 1130, 284, 442, 8594, 81, 4255, 203, 823, 5412, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 6683, 30, 2043, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 4255, 280, 6683, 291, 630, 32, 1580, 280, 2043, 284, 665, 6492, 26, 784, 30, 1591, 81, 1719, 47, 2700, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 9, 10, 9, 11, 8, 7, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 7, 9, 9, 4, 4, 5, 6, 6, 6, 7, 7, 7, 6, 6, 7, 12, 11, 11, 13, 13, 13, 13, 13, 16, 15, 16, 15, 17, 17, 15, 15, 10, 10, 10, 11, 11, 13, 14, 13, 15, 15, 15, 15, 13, 9, 9, 9, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 15, 14, 15, 14, 16, 16, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 9, 9, 6, 6, 7, 7, 5, 5, 5, 7, 9, 11, 11, 8, 8, 10, 10, 10, 10, 10, 13, 12, 13, 12, 14, 14, 12, 12, 7, 7, 9, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 15, 15, 6, 6, 7, 9, 11, 11, 8, 8, 10, 11, 10, 12, 12, 12, 12, 10, 10, 7, 7, 9, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 15, 15, 7, 7, 8, 8, 8, 10, 12, 12, 15, 15, 15, 15, 15, 15, 13, 13, 17, 17, 16, 15, 16, 16, 16, 15, 4, 4, 5, 6, 6, 7, 5, 5, 5, 10, 10, 9, 10, 9, 11, 10, 12, 12, 6, 6, 7, 7, 7, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 7, 7, 11, 12, 11, 6, 6, 10, 10, 9, 10, 9, 11, 10, 12, 12, 6, 6, 10, 9, 10, 9, 10, 9, 6, 6, 10, 10, 9, 10, 9, 10, 9, 9, 9, 2, 2, 3, 4, 3, 3, 3, 7, 9, 9, 8, 10, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 10, 10, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 3, 3, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 6, 1, 6, 6, 6, 1, 0, 0, 1, 1, 1, 4, 4, 7, 1, 1, 0, 13, 13, 2, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 1 ]
[ 1070, 1619, 1356, 1188, 1619, 4018, 203, 465, 2361, 203, 1070, 4395, 1188, 7841, 30, 7502, 203, 1070, 46624, 32, 5558, 32, 22765, 1188, 5601, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 2684, 81, 3550, 203, 1070, 32400, 81, 3494, 32, 16520, 32, 25102, 1188, 22509, 16464, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 11025, 81, 2304, 1188, 7703, 2780, 7233, 203, 1070, 9525, 32, 4882, 32, 42053, 1188, 2680, 2214, 30, 22509, 38935, 2214, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 22509, 2214, 203, 1070, 5205, 83, 32, 106, 3926, 81, 3337, 1188, 1593, 4084, 3041, 203, 1070, 25202, 32, 3926, 1188, 1593, 4084, 9630, 3041, 203, 1070, 25202, 32, 3378, 1188, 308, 284, 5938, 9548, 885, 30, 284, 5938, 9548, 30, 284, 13048, 9548, 30, 284, 22618, 27656, 30, 203, 27, 203, 50, 2437, 463, 23434, 81, 35, 683, 203, 50, 7106, 81, 3550, 26, 21729, 81, 18946, 1057, 20680, 683, 203, 823, 1593, 4084, 9630, 3041, 1103, 9548, 1006, 26, 2459, 2780, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 74, 4084, 9630, 3041, 1103, 9548, 1006, 30, 630, 547, 23741, 346, 291, 630, 32, 496, 280, 2680, 2214, 32, 1297, 346, 291, 630, 32, 7632, 280, 22509, 2214, 32, 1297, 346, 291, 630, 32, 38510, 280, 22509, 38935, 2214, 26, 324, 1256, 47, 784, 32, 496, 30, 324, 8419, 81, 314, 47, 784, 32, 7632, 32, 314, 30, 324, 438, 81, 2480, 47, 1815, 30, 324, 2926, 347, 26362, 271, 392, 291, 829, 291, 630, 32, 106, 3926, 280, 1593, 4084, 9630, 3041, 346, 284, 665, 894, 81, 669, 81, 6989, 81, 4383, 81, 965, 26, 784, 711, 291, 623, 7841, 463, 7632, 1396, 32, 4944, 101, 32, 4944, 370, 7502, 26, 601, 81, 853, 12516, 4944, 950, 330, 6129, 370, 330, 11650, 950, 225, 34, 32, 41, 39, 111, 8531, 324, 623, 7841, 32, 1473, 26, 74, 4084, 3041, 30, 330, 2714, 81, 452, 81, 3926, 683, 619, 4395, 81, 2714, 44, 400, 4395, 81, 2714, 32, 601, 81, 853, 280, 308, 34, 30, 1665, 27, 400, 630, 32, 106, 3926, 32, 669, 81, 6989, 26, 784, 32, 496, 30, 630, 32, 7632, 32, 314, 27, 291, 630, 32, 6549, 26, 3613, 81, 2714, 32, 10910, 27, 291, 42976, 10306, 280, 4395, 81, 2714, 32, 1851, 81, 1132, 81, 668, 77, 34, 79, 291, 4648, 81, 2111, 280, 2361, 32, 12474, 26, 5321, 710, 2111, 3490, 291, 630, 32, 33966, 463, 641, 555, 16520, 32, 1088, 33, 1877, 81, 15324, 49, 678, 12483, 4648, 81, 2111, 710, 94, 874, 81, 4383, 81, 965, 3490, 284, 665, 894, 81, 1347, 81, 1297, 81, 1141, 81, 266, 81, 3926, 81, 979, 81, 916, 81, 1071, 81, 23545, 26, 784, 711, 291, 623, 7841, 463, 7632, 1396, 32, 4944, 101, 32, 4944, 370, 7502, 26, 601, 81, 853, 12516, 4944, 950, 330, 6129, 370, 330, 11650, 950, 225, 34, 32, 41, 39, 111, 8531, 324, 623, 7841, 32, 1473, 26, 74 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 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, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 0, 2, 4, 4, 6, 6, 6, 6, 1, 2, 4, 4, 4, 4, 6, 6, 6, 5, 7, 7, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 4, 5, 6, 5, 4, 4, 10, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 9, 8, 5, 5, 8, 9, 7, 7, 10, 9, 10, 9, 5, 5, 8, 9, 7, 7, 10, 9, 10, 9, 5, 5, 8, 9, 7, 7, 9, 9, 9, 9, 9, 10, 12, 11, 12, 9, 9, 9, 11, 11, 10, 13, 12, 13, 11, 12, 9, 9, 9, 11, 11, 10, 11, 9, 9, 9, 10, 12, 12, 12, 9, 9, 5, 5, 8, 9, 9, 7, 7, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 14, 14, 14, 13, 17, 17, 15, 17, 17, 14, 17, 17, 15, 16, 16, 16, 16, 14, 12, 6, 6, 8, 13, 14, 13, 14, 14, 14, 13, 13, 15, 15, 15, 15, 15, 15, 11, 11, 13, 13, 8, 8, 8, 13, 13, 12, 13, 13, 13, 11, 11, 13, 12, 12, 12, 9, 9, 13, 14, 14, 12, 13, 13, 13, 12, 14, 13, 14, 12, 12, 14, 15, 13, 14, 12, 5, 5, 8, 9, 8, 10, 10, 10, 9, 10, 8, 5, 5, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 10, 8, 9, 8, 5, 5, 8, 8, 7, 7, 9, 10, 9, 11, 10, 12, 12, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 14, 14, 14, 13, 17, 17, 15, 17, 17, 14, 17, 17, 15, 16, 16, 16, 16, 14, 12, 6, 6, 8, 13, 14, 13, 14 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 6, 6, 0, 0, 7, 7, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 2, 1, 4, 1, 6, 9, 9, 0, 0, 10, 10, 0, 1, 2, 2, 2, 2, 10, 10, 0, 0, 0, 11, 11, 1, 2, 11, 11, 0, 0, 0, 0, 12, 12, 1, 2, 12, 12, 12, 12, 0, 0, 12, 12, 12, 0, 12, 12, 12, 0, 12, 12, 12, 0, 12, 12, 12, 0, 0, 0, 1, 1, 1, 1, 2, 13, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 13, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 1, 1, 1, 7, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1 ]
[ 589, 8105, 81, 668, 265, 26, 6452, 30, 5202, 26409, 19713, 26409, 10029, 26409, 4826, 47, 2521, 711, 284, 1829, 81, 4295, 280, 2933, 284, 831, 280, 1665, 284, 2218, 1829, 81, 4295, 44, 291, 9224, 280, 8105, 32, 371, 81, 464, 81, 3494, 26, 4254, 47, 4254, 30, 10029, 47, 8539, 30, 768, 19713, 47, 24888, 30, 4826, 47, 5078, 27, 291, 436, 831, 328, 9224, 44, 324, 6761, 831, 291, 415, 831, 44, 324, 10029, 280, 831, 32, 426, 291, 1829, 81, 4295, 47, 9224, 32, 297, 81, 359, 13209, 203, 823, 27062, 720, 15841, 44, 284, 665, 1156, 1664, 3207, 784, 30, 8105, 47, 2521, 30, 5202, 26409, 19713, 26409, 10029, 26409, 4826, 47, 2521, 711, 291, 630, 32, 6452, 280, 8105, 291, 630, 32, 4254, 280, 5202, 291, 630, 32, 24888, 280, 19713, 291, 630, 32, 8539, 280, 10029, 291, 630, 32, 5078, 280, 4826, 284, 665, 1156, 1731, 3207, 784, 711, 291, 442, 8105, 81, 668, 265, 26, 784, 32, 6452, 30, 5202, 47, 784, 32, 4254, 30, 6035, 19713, 47, 784, 32, 24888, 30, 10029, 47, 784, 32, 8539, 30, 4826, 47, 784, 32, 5078, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 5, 5, 5, 5, 5, 8, 4, 4, 5, 5, 5, 5, 8, 8, 9, 10, 4, 4, 7, 7, 6, 6, 7, 8, 8, 8, 8, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 4, 5, 4, 5, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 9, 8, 9, 7, 7, 8, 10, 9, 10, 7, 7, 7, 8, 10, 9, 10, 7, 7, 8, 10, 9, 10, 7, 7, 8, 10, 9, 10, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 5, 2, 7, 2, 9, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 2, 1, 1, 7, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 2, 2, 2, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 7, 2, 9, 2, 11, 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, 3, 3, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 0, 2, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 7, 0, 2, 2, 1, 1, 9, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2276, 203, 465, 29590, 203, 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 3226, 267, 402, 1188, 3226, 7776, 424, 30, 2678, 21031, 81, 1786, 203, 1070, 3226, 267, 402, 32, 8216, 32, 8538, 1188, 3398, 1176, 203, 1070, 3226, 267, 402, 32, 4462, 32, 3378, 1188, 16206, 974, 203, 1070, 3226, 267, 402, 32, 300, 7776, 424, 32, 8774, 1188, 337, 9240, 81, 1786, 81, 3550, 203, 1070, 3226, 267, 402, 32, 2304, 1188, 1505, 81, 817, 85, 81, 7878, 203, 823, 16206, 974, 1241, 26, 8538, 32, 1243, 1241, 711, 284, 443, 11985, 44, 291, 1542, 280, 16206, 974, 291, 3829, 280, 11477, 464, 505, 25, 203, 823, 15200, 7845, 1241, 26, 8538, 32, 1241, 711, 284, 1695, 81, 761, 280, 10548, 32, 974, 1176, 346, 284, 3082, 88, 81, 761, 280, 10548, 32, 974, 1176, 26, 3648, 47, 2700, 27, 284, 787, 106, 81, 761, 280, 10548, 32, 974, 1176, 26, 3648, 47, 2700, 27, 284, 1148, 92, 81, 761, 280, 10548, 32, 974, 1176, 26, 3648, 47, 2700, 27, 284, 5592, 81, 761, 280, 10548, 32, 974, 1176, 26, 3648, 47, 2700, 27, 284, 415, 1505, 81, 817, 85, 81, 7878, 26, 300, 7776, 424, 32, 36190, 81, 15811, 711, 291, 309, 1381, 81, 761, 280, 10548, 32, 974, 1176, 26, 3648, 47, 2700, 27, 284, 415, 1505, 81, 817, 85, 81, 7878, 26, 99, 21031, 81, 1786, 32, 36190, 81, 15811, 711, 291, 2678, 696, 81, 761, 280, 10548, 32, 974, 1176, 26, 3648, 47, 2700, 27, 284, 3226, 817, 365, 280, 10548, 32, 39471, 26, 3648, 47, 2700, 27, 284, 3226, 817, 365, 81, 2157, 280, 10548, 32, 16357, 26, 3648, 47, 2700, 27, 284, 1133, 280, 10548, 32, 39471, 26, 3648, 47, 2700, 27, 284, 345, 22072, 295, 280, 10548, 32, 39471, 26, 3648, 47, 2700, 27, 284, 5489, 81, 452, 81, 33446, 81, 6363, 280, 10548, 32, 39471, 26, 3648, 47, 2700, 27, 284, 5489, 81, 452, 81, 33446, 81, 426, 280, 10548, 32, 16357, 26, 3648, 47, 2700, 27, 284, 345, 22072, 295, 81, 1003, 81, 7920, 280, 10548, 32, 16357, 26, 3648, 47, 2700, 27, 284, 345, 22072, 295, 81, 1003, 81, 853, 280, 10548, 32, 16357, 26, 3648, 47, 2700, 27, 284, 1133, 81, 7828, 280, 10548, 32, 16357, 26, 3648, 47, 2700, 27, 284, 1133, 81, 7828, 81, 575, 280, 10548, 32, 30400, 26, 3648, 47, 2700, 27, 284, 1133, 81, 7828, 81, 1536, 81, 853, 280, 10548, 32, 16357, 26, 3648, 47, 2700, 27, 284, 1133, 81, 7828, 81, 3576, 81, 853, 280, 10548, 32, 16357, 26, 3648, 47, 2700, 27, 284, 5547, 280, 10548, 32, 16357, 26, 3648, 47, 2700, 27, 284, 5396, 81, 1311, 280, 10548, 32, 16357, 26, 3648, 47, 2700, 27, 284, 4227, 280, 3398, 1176, 346, 284, 5035, 81, 30939, 81, 32650, 280, 10548, 32, 39471, 26, 3648, 47, 2700, 27, 284, 5035, 81, 4462, 81, 599, 280, 10548, 32, 39471, 26, 3648, 47, 2700, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 3, 3, 3, 6, 6, 7, 4, 4, 6, 6, 8, 8, 8, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 8, 7, 8, 6, 2, 2, 3, 5, 5, 5, 5, 5, 5, 7, 7, 7, 6, 7, 7, 7, 5, 3, 3, 7, 7, 7, 6, 6, 8, 9, 9, 8, 10, 9, 10, 8, 2, 2, 3, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 6, 7, 7, 7, 5, 3, 3, 7, 7, 7, 6, 6, 8, 9, 9, 8, 10, 9, 10, 8, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 8, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 0, 0, 1, 2, 2, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 11, 11, 1, 1, 2, 0, 1, 2, 2, 2, 11, 11, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 1, 1, 2, 0, 12, 12, 1, 1, 2, 0, 1, 2, 2, 12, 12, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1 ]
[ 465, 1933, 203, 465, 310, 491, 550, 203, 465, 2322, 203, 465, 45301, 983, 203, 465, 316, 203, 465, 16539, 203, 465, 5237, 203, 465, 485, 2983, 32, 2282, 203, 465, 485, 2983, 32, 15215, 81, 2593, 619, 8792, 81, 2593, 203, 465, 485, 2983, 32, 2739, 5767, 1812, 619, 13416, 5767, 1812, 203, 465, 485, 2983, 32, 2739, 5767, 3196, 619, 13416, 5767, 3196, 203, 465, 485, 2983, 32, 2739, 5767, 2963, 619, 13416, 5767, 2963, 203, 465, 485, 2983, 32, 2739, 72, 635, 1052, 974, 619, 488, 6004, 635, 1052, 974, 203, 465, 485, 2983, 32, 2739, 5767, 1240, 974, 619, 13416, 5767, 1240, 974, 203, 465, 485, 2983, 32, 2739, 5767, 2062, 619, 13416, 5767, 2062, 203, 5915, 81, 2739, 5767, 81, 11989, 81, 45852, 280, 316, 32, 6993, 463, 35573, 51, 31, 56, 34, 31, 43, 11466, 6155, 22, 683, 203, 7101, 81, 1536, 81, 9578, 280, 301, 284, 330, 35629, 2147, 81, 9857, 950, 2550, 284, 330, 35629, 2147, 81, 28056, 950, 5608, 8022, 370, 284, 330, 14673, 81, 7655, 81, 9857, 950, 2550, 284, 330, 24463, 81, 7655, 81, 9857, 950, 2550, 284, 330, 14673, 81, 7655, 81, 28056, 950, 5608, 1356, 370, 284, 330, 24463, 81, 7655, 81, 28056, 950, 5608, 9685, 370, 284, 330, 5451, 15415, 1757, 81, 3197, 950, 330, 2945, 1428, 2976, 7243, 284, 330, 24463, 81, 5451, 15415, 1757, 81, 3197, 950, 330, 2945, 1512, 2976, 4165, 2067, 33, 3264, 81, 38989, 370, 284, 330, 2636, 950, 330, 4463, 370, 284, 330, 16024, 81, 3197, 950, 330, 2945, 1512, 2976, 7243, 284, 330, 7655, 81, 3197, 950, 330, 2945, 1512, 2976, 4165, 1356, 370, 284, 330, 25641, 81, 10840, 81, 7789, 950, 330, 2945, 1612, 558, 7243, 284, 330, 25641, 81, 10840, 81, 3197, 2474, 950, 330, 2945, 1612, 2976, 7243, 284, 330, 25641, 81, 10840, 81, 2399, 950, 330, 2945, 1612, 2725, 7243, 284, 330, 25641, 81, 10840, 81, 2474, 950, 330, 2945, 1612, 6777, 7243, 284, 330, 25641, 81, 10840, 81, 4065, 950, 330, 2945, 1612, 1215, 7243, 284, 330, 35684, 81, 2474, 950, 330, 2945, 2324, 558, 7243, 203, 111, 203, 7101, 81, 12187, 81, 983, 81, 15485, 280, 428, 284, 330, 874, 4849, 81, 2479, 89, 4463, 81, 15615, 370, 284, 330, 874, 4849, 81, 2962, 370, 203, 79, 203, 7101, 81, 12187, 81, 3780, 81, 5983, 81, 3494, 280, 428, 284, 330, 874, 4849, 81, 2479, 89, 4463, 81, 15615, 370, 284, 330, 874, 4849, 81, 2479, 89, 4463, 81, 7883, 370, 284, 330, 874, 4849, 81, 23434, 370, 203, 79, 203, 1001, 980, 81, 3494, 280, 428, 284, 330, 874, 4849, 81, 1001, 19243, 81, 2111, 370, 284, 330, 874, 4849, 81, 1001, 19243, 81, 1855, 370, 203, 79, 203, 10569, 81, 699, 280, 1665, 203, 10569, 81, 4116, 280, 1665, 203, 589, 617, 936, 5041, 2185, 14962, 2262, 334, 415, 5237, 32, 5134, 646, 328, 2726, 4463, 37, 36, 370, 330, 2479, 89, 4463, 7831, 284, 442, 2726, 16799, 370, 330, 19452, 683, 334, 3649, 10814, 81, 699, 334, 3649, 10814, 81, 4116, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 5, 6, 4, 4, 4, 7, 7, 7, 7, 5, 7, 7, 7, 7, 3, 3, 5, 8, 8, 6, 8, 8, 2, 2, 3, 4, 4, 2, 2, 3, 4, 4, 2 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 1, 2, 0, 8, 8, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 9, 9, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 10, 10, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 11, 11, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 12, 12, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 13, 13, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 14, 14, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 1, 1, 2, 9, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 11, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 17, 1, 2, 2, 2, 1, 1, 1, 2, 19, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 21, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 23, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 25, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 27, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 29, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 31, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 33, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 22, 1, 1, 1, 1, 2, 22, 22, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 4, 4, 1, 1, 1, 4, 4, 2, 1, 1, 4 ]
[ 465, 323, 978, 30, 2322, 30, 5237, 30, 1359, 3922, 203, 1070, 323, 978, 32, 2962, 1188, 319, 203, 14673, 81, 6191, 81, 18829, 280, 313, 817, 268, 81, 7174, 81, 19996, 32, 4687, 20, 203, 823, 25066, 959, 26, 84, 978, 32, 2516, 32, 41971, 711, 203, 202, 426, 280, 892, 1653, 26, 426, 280, 313, 558, 392, 1244, 280, 313, 5842, 392, 2075, 280, 739, 1157, 203, 202, 45755, 280, 892, 1653, 26, 426, 280, 313, 959, 392, 1244, 280, 313, 5842, 392, 2075, 280, 739, 1157, 203, 823, 25066, 959, 720, 26, 84, 978, 32, 2516, 32, 41971, 711, 203, 202, 589, 544, 5374, 3650, 26, 784, 30, 1619, 711, 357, 202, 84, 978, 32, 1819, 32, 7608, 32, 5740, 32, 2480, 280, 323, 978, 32, 605, 32, 5740, 77, 784, 32, 4170, 77, 784, 32, 4170, 1284, 997, 45755, 79, 203, 202, 4170, 280, 7376, 1653, 26, 681, 280, 25066, 959, 30, 2075, 280, 739, 1157, 203, 202, 4170, 1284, 280, 2854, 1653, 26, 887, 280, 429, 35, 30, 1244, 280, 429, 35, 30, 2075, 280, 739, 1026, 1974, 47, 267, 5374, 3650, 27, 203, 823, 6564, 3289, 26, 84, 978, 32, 2516, 32, 41971, 711, 203, 202, 1358, 30545, 280, 14975, 1653, 26, 357, 202, 426, 280, 313, 6166, 11929, 101, 392, 357, 202, 2310, 280, 313, 6601, 33, 12597, 7037, 803, 45759, 4414, 357, 202, 1536, 280, 2933, 30, 357, 202, 2184, 280, 739, 346, 203, 202, 27, 203, 202, 5010, 974, 280, 892, 1653, 26, 357, 202, 426, 280, 313, 6334, 2032, 392, 357, 202, 2310, 280, 313, 974, 636, 432, 7037, 4414, 357, 202, 1536, 280, 313, 7314, 32, 5010, 392, 357, 202, 2184, 280, 739, 346, 203, 202, 27, 203, 202, 2991, 24333, 280, 14975, 1653, 26, 357, 202, 426, 280, 313, 4001, 3319, 3009, 392, 357, 202, 2310, 280, 313, 4001, 29268, 372, 4166, 1519, 4414, 357, 202, 1536, 280, 3177, 30, 357, 202, 2184, 280, 739, 346, 203, 202, 27, 203, 202, 5010, 6166, 2101, 280, 7819, 1653, 26, 357, 202, 426, 280, 313, 6334, 14685, 10748, 392, 357, 202, 2310, 280, 313, 7832, 16502, 11929, 14685, 10748, 101, 4414, 357, 202, 3028, 280, 33299, 13866, 392, 313, 12177, 11929, 101, 392, 313, 6166, 1471, 13595, 12953, 26551, 603, 202, 440, 3626, 392, 313, 3771, 10073, 11929, 101, 392, 313, 6166, 1471, 4181, 6863, 12953, 26551, 603, 202, 440, 2988, 392, 225, 313, 3402, 11929, 101, 392, 313, 6166, 1471, 3115, 3079, 4122, 12953, 26551, 603, 202, 471, 357, 202, 1536, 280, 313, 13866, 392, 357, 202, 2184, 280, 739, 346, 203, 202, 27, 203, 202, 2387, 1215, 280, 892, 1653, 26, 357, 202, 426, 280, 313, 3442, 5380, 392, 357, 202, 2310, 280, 313, 1215, 372, 7037, 12877, 436, 17335, 3115, 12953, 4414, 357, 202, 32287, 280, 313, 3197, 81, 4065, 392, 357, 202, 2184, 280, 739, 346, 203, 202, 27, 203, 202, 1358, 20972, 4279, 280, 14975, 1653, 26, 357, 202, 426, 280, 313, 6166, 37331, 4279, 392, 357, 202, 2310, 280, 313, 6601, 33, 12597, 9526, 549, 37250 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 8, 7, 7, 9, 9, 6, 7, 7, 9, 9, 6, 7, 7, 9, 2, 2, 5, 4, 4, 6, 6, 8, 7, 7, 9, 9, 6, 7, 7, 9, 9, 6, 7, 7, 9, 0, 1, 1, 2, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 3, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 11, 11, 10, 11, 9, 10, 8, 9, 7, 8, 6, 6, 10, 9, 10, 8, 9, 7, 11, 10, 11, 9, 11, 10, 11, 11, 9, 9, 7, 2, 2, 5, 4, 4, 6, 6, 8, 7, 7, 8, 6, 6, 7, 7, 9, 2, 2, 5, 5, 4, 4, 6, 6, 8, 7, 7, 9, 6, 6, 7, 7, 9, 6, 6, 7, 7, 9, 6, 7, 8, 8, 8, 6, 0, 1, 1, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 8, 7, 7, 9, 9, 9, 9, 6, 6, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 7, 7, 6, 6, 6, 8, 7, 7, 9, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 8, 7, 7, 9, 9, 9, 6, 6, 8, 7, 7, 9, 9, 9, 9, 9, 6, 6, 8, 7, 7, 9, 9, 9, 9, 6, 6, 8, 7, 7, 9, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 8, 7, 7, 9, 9, 9, 9, 6, 6, 8, 7, 7, 9, 9, 9, 9, 9, 9, 6, 6, 8, 7, 7, 6, 6, 6, 8, 7, 7, 9, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 8, 7, 7, 9, 9, 9, 9, 6, 6, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 7, 7, 11, 11, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 8, 8, 9, 11, 11, 9, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 11, 9, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 6, 6, 8, 7, 7, 9, 9, 6, 6, 8, 7, 7, 9, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 8, 7, 7, 9, 9, 9, 6, 6, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 7, 7, 9, 9, 9, 9, 6, 6, 8, 7, 7, 9, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 8, 7, 7, 9, 9, 9, 9, 6, 6, 8, 7, 7, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 2, 0, 0, 0, 2, 1, 2, 2, 3, 3, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 5, 5, 1, 0, 4, 4, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 4, 4, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 5, 1, 1, 7, 2, 2, 2, 1, 0, 5, 5, 1, 2, 0, 0, 0, 2, 1, 2, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 1, 0, 7, 7, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 2, 3, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 2, 5, 5, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 7, 7, 1, 2, 1, 1, 0, 9, 9, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 2, 1, 1, 0, 7, 7, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1 ]
[ 465, 5741, 203, 465, 18346, 2516, 203, 14639, 2516, 32, 1664, 346, 203, 14639, 2516, 32, 2516, 81, 1110, 710, 32, 7955, 89, 785, 280, 330, 893, 33, 106, 31, 7955, 89, 25, 203, 14639, 2516, 32, 2516, 81, 1110, 710, 32, 5677, 785, 280, 330, 893, 33, 106, 31, 1566, 25, 203, 14639, 2516, 32, 2516, 81, 1110, 710, 32, 13910, 36, 785, 280, 330, 3164, 33, 106, 31, 84, 3969, 36, 25, 203, 14639, 2516, 32, 2516, 81, 1110, 710, 32, 6680, 785, 280, 330, 3164, 33, 106, 31, 13621, 25, 203, 465, 2322, 203, 465, 316, 203, 465, 6314, 203, 465, 1133, 203, 1070, 22045, 1188, 707, 7345, 203, 465, 43744, 978, 203, 1070, 43744, 978, 32, 1356, 1188, 281, 385, 7550, 30, 1913, 1040, 30, 803, 81, 7101, 81, 17620, 203, 589, 13942, 81, 761, 26, 983, 30, 1795, 81, 681, 47, 2521, 30, 1214, 2705, 47, 2521, 30, 636, 47, 2521, 30, 4588, 47, 2700, 711, 284, 1789, 280, 43744, 978, 32, 21408, 32, 1986, 284, 415, 646, 2322, 32, 983, 32, 297, 3596, 26, 983, 711, 291, 3124, 280, 5335, 23, 101, 25, 438, 646, 600, 7976, 1519, 3107, 904, 1519, 291, 415, 4588, 44, 324, 43744, 978, 32, 751, 26, 2076, 30, 330, 31081, 32, 14673, 3539, 683, 291, 3636, 10091, 26, 2076, 27, 284, 1596, 44, 291, 376, 280, 2322, 32, 4597, 26, 983, 27, 284, 2940, 546, 21887, 44, 291, 415, 4588, 44, 324, 43744, 978, 32, 751, 463, 500, 32, 4597, 7846, 100, 27, 3803, 25, 904, 1519, 30, 330, 31081, 32, 14673, 683, 291, 3636, 43744, 978, 32, 5965, 346, 284, 415, 6314, 32, 69, 81, 1296, 3197, 26, 270, 32, 270, 81, 2816, 711, 291, 415, 4588, 44, 324, 43744, 978, 32, 751, 15339, 100, 438, 312, 3362, 25, 904, 1519, 30, 330, 31081, 32, 14673, 683, 291, 3636, 43744, 978, 32, 5965, 346, 284, 1789, 32, 5078, 710, 3267, 31, 9850, 785, 280, 1913, 1040, 32, 5068, 1547, 26, 270, 32, 270, 81, 29290, 27, 284, 281, 385, 7550, 32, 4635, 81, 8119, 346, 284, 415, 1795, 81, 681, 438, 1665, 44, 291, 1447, 280, 3330, 291, 595, 280, 1519, 32, 100, 1809, 36909, 291, 415, 595, 863, 429, 35, 44, 324, 1447, 280, 1519, 77, 91, 44, 997, 5729, 346, 291, 1795, 81, 681, 280, 18346, 2516, 32, 2516, 81, 1110, 32, 371, 26, 407, 30, 1665, 27, 284, 415, 1795, 81, 681, 438, 646, 1665, 44, 291, 1789, 32, 5078, 710, 1777, 31, 620, 785, 280, 1795, 81, 681, 284, 415, 4588, 44, 291, 43744, 978, 32, 751, 463, 1777, 31, 620, 44, 904, 100, 25, 904, 1795, 81, 681, 30, 330, 31081, 32, 14673, 683, 284, 9098, 280, 1665, 284, 415, 1214, 2705, 438, 646, 1665, 44, 291, 415, 636, 438, 1665, 44, 324, 636, 280, 2322, 32, 983, 32, 15705, 26, 983, 27, 291, 9098, 280, 6611, 101, 45, 4870, 28664, 101, 14891, 904, 308, 1285, 2705, 30, 636, 27, 291, 1789, 32, 5078, 1365, 1777, 31, 30663, 1446, 280, 9098, 284, 415, 4588, 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, 0, 1, 1, 3, 0, 4, 4, 3, 4, 3, 0, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 2, 2, 4, 4, 4, 4, 4, 4, 0, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 5, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 5, 4, 5, 5, 5, 3, 5, 5, 5, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 2, 4, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 4, 4, 7, 6, 7, 5, 6, 2, 2, 3, 4, 7, 8, 6, 7, 7, 6, 7, 6, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 5, 5, 5, 10, 9, 10, 9, 10, 9, 9, 11, 11, 11, 11, 11, 4, 4, 5, 7, 8, 7, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 3, 3, 4, 5, 4, 4, 4, 6, 6, 6, 6, 11, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 10, 10, 12, 12, 12, 12, 5, 5, 6, 9, 8, 9, 8, 2, 2, 3, 5, 6, 6, 6, 6, 5, 7, 6, 7, 7, 7, 5, 3, 3, 5, 5, 5, 5, 10, 9, 10, 9, 12, 12, 12, 12, 12, 10, 10, 9, 9, 11, 11, 11, 11, 4, 4, 5, 8, 7, 8, 7, 2, 2, 6, 7, 5, 7, 7, 7, 7, 4, 4, 7, 6, 7, 7, 6, 8, 7, 8, 8, 8, 6, 2, 2, 6, 6, 5, 6, 6, 6, 5, 2, 2, 3, 5, 5, 4, 4, 3, 3, 3, 6, 6, 4, 4, 6, 6, 8, 9, 9, 8, 4, 4, 5, 6, 6, 8, 5, 5, 5, 8, 8, 11, 13, 12, 11, 11, 10, 4, 4, 7, 7, 6, 6, 10, 9, 10, 10, 10, 8, 9, 8, 9, 8, 8, 8, 2, 2, 3, 5, 5, 4, 4, 4, 3, 3, 3, 8, 9, 7, 9, 9, 9, 9, 6, 6, 7, 7, 2, 2, 3, 3, 3, 3, 8, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 7, 7, 9, 9, 9, 9, 2, 2, 4, 4, 2, 2, 3, 5, 4, 4, 4, 3, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 8, 8, 4, 4, 8, 9, 7, 9, 9, 9, 9, 6, 6, 2, 2, 3, 3 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 11, 11, 0, 0, 12, 12, 0, 0, 13, 13, 0, 1, 2, 13, 13, 0, 0, 13, 13, 0, 13, 13, 0, 0, 0, 0, 0, 14, 14, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 14, 14, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 4, 4, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 2, 1, 4, 4, 3, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 2, 1, 4, 4, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 6, 0, 0, 1, 1, 6, 6, 6, 0, 0, 3, 3, 0, 0, 0, 2, 2, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 7, 0, 0, 1, 1, 1, 7, 7, 7, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 4, 4, 8, 8, 8, 8, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 10, 0, 1, 1, 1, 10, 10, 10, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 3, 3, 0, 2, 0, 1, 1, 1, 2, 0, 0, 4, 4, 11, 11 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 823, 4054, 81, 3153, 26, 500, 104, 32, 500, 104, 711, 284, 617, 6815, 280, 313, 2445, 32, 3153, 20, 284, 617, 6057, 280, 301, 291, 330, 2433, 81, 3524, 81, 24022, 81, 85, 1321, 950, 3829, 32, 2433, 26, 324, 827, 1057, 11374, 36, 658, 370, 324, 14772, 1057, 3524, 32, 3524, 370, 324, 802, 347, 31777, 9035, 392, 324, 3049, 347, 2272, 3497, 1098, 526, 1654, 436, 328, 22668, 372, 786, 23260, 26551, 291, 330, 2433, 81, 3524, 81, 36015, 81, 85, 1321, 950, 3829, 32, 2433, 26, 324, 827, 1057, 11374, 36, 658, 370, 324, 14772, 1057, 3524, 32, 3524, 370, 324, 802, 347, 36282, 9035, 392, 324, 3049, 347, 2272, 3497, 1098, 526, 1654, 436, 328, 22668, 372, 786, 2910, 20353, 26551, 284, 320, 203, 823, 4054, 81, 2387, 26, 500, 104, 32, 500, 104, 711, 284, 617, 6815, 280, 313, 2445, 32, 2387, 20, 284, 617, 6057, 280, 301, 291, 330, 9078, 307, 81, 314, 950, 3829, 32, 11374, 36, 11374, 463, 3524, 32, 9078, 370, 330, 2445, 81, 9078, 307, 81, 2808, 370, 324, 330, 8604, 81, 314, 370, 330, 9078, 81, 314, 370, 330, 7940, 394, 15019, 370, 324, 5880, 6020, 463, 2544, 81, 314, 1195, 12483, 2700, 471, 463, 681, 81, 9078, 81, 539, 1195, 266, 12820, 16842, 1195, 464, 785, 45516, 291, 330, 21061, 81, 9078, 307, 81, 314, 950, 3829, 32, 11374, 36, 11374, 463, 3524, 32, 9078, 370, 324, 330, 2445, 81, 21061, 81, 9078, 307, 81, 2808, 370, 330, 8604, 81, 314, 370, 330, 9078, 81, 314, 370, 324, 330, 17612, 394, 15019, 370, 5880, 6020, 463, 2544, 81, 314, 370, 16509, 3177, 471, 463, 681, 81, 9078, 81, 539, 1195, 266, 12820, 15735, 1195, 464, 785, 45516, 291, 330, 2433, 81, 3524, 81, 24022, 950, 3829, 32, 2433, 26, 324, 827, 1057, 11374, 36, 658, 370, 324, 14772, 1057, 3524, 32, 3524, 370, 324, 802, 347, 31777, 9035, 392, 324, 3049, 347, 2272, 3497, 1098, 526, 1654, 436, 328, 22668, 4174, 432, 322, 1244, 1591, 372, 786, 23260, 436, 322, 1550, 4054, 26551, 291, 330, 2433, 81, 3524, 81, 36015, 950, 3829, 32, 2433, 26, 324, 827, 1057, 11374, 36, 658, 370, 324, 14772, 1057, 3524, 32, 3524, 370, 324, 802, 347, 36282, 9035, 392, 324, 3049, 347, 2272, 3497, 1098, 526, 1654, 436, 328, 22668, 4174, 432, 322, 1244, 1591, 372, 786, 2910, 20353, 436, 322, 1550, 4054, 26551, 284, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 8, 9, 11, 13, 13, 13, 13, 13, 12, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 11, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 8, 9, 11, 13, 13, 13, 13, 11, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 11, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 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 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 2, 1, 5, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 11, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 2, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 2, 1, 1, 7, 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, 2, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 2, 1, 1, 7, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1070, 4395, 1188, 7841, 203, 1070, 4395, 1188, 25864, 3660, 619, 7502, 203, 1070, 337, 3945, 105, 2046, 32, 2282, 32, 2582, 1188, 18883, 16837, 203, 1070, 337, 3945, 105, 2046, 1188, 2145, 619, 7664, 81, 1786, 203, 1070, 34574, 32, 2282, 32, 1586, 906, 1188, 4448, 203, 1070, 34574, 32, 5866, 32, 13507, 32, 1439, 1188, 4826, 81, 452, 81, 2630, 81, 1338, 203, 1070, 34574, 32, 2282, 32, 1357, 81, 8774, 1188, 622, 81, 3731, 81, 2859, 81, 4254, 203, 1070, 3312, 32, 2243, 1188, 18883, 3566, 2554, 30, 4588, 81, 4073, 203, 823, 2108, 2879, 1917, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 4073, 280, 4588, 81, 4073, 463, 5866, 31, 1786, 683, 291, 630, 32, 4219, 280, 18883, 3566, 2554, 26, 4073, 47, 784, 32, 4073, 27, 291, 630, 32, 4219, 32, 3524, 32, 3524, 81, 2245, 280, 7502, 26, 601, 81, 853, 1279, 324, 330, 12824, 950, 225, 34, 30, 324, 330, 5740, 950, 225, 34, 30, 324, 330, 3651, 950, 225, 34, 30, 324, 330, 27749, 950, 225, 34, 30, 324, 330, 4519, 950, 301, 24471, 291, 630, 32, 3524, 81, 1338, 280, 301, 324, 330, 1517, 950, 225, 36, 34, 34, 30, 324, 330, 2630, 81, 998, 950, 330, 35, 34, 370, 324, 330, 2999, 81, 1473, 81, 998, 950, 330, 35, 34, 34, 370, 324, 330, 3651, 950, 330, 35, 34, 34, 34, 370, 324, 330, 2859, 950, 6663, 324, 330, 3731, 2859, 950, 2149, 291, 320, 291, 630, 32, 725, 280, 7664, 81, 1786, 32, 2727, 26, 324, 5053, 47040, 81, 2011, 950, 330, 3020, 8885, 3497, 81, 2582, 47, 13190, 16837, 1026, 324, 3851, 81, 2582, 47, 13190, 16837, 1026, 4759, 47, 784, 32, 4219, 30, 324, 4082, 47, 784, 32, 4073, 27, 291, 443, 18883, 3341, 1120, 2879, 1917, 26, 400, 7664, 81, 1786, 32, 2879, 1917, 711, 324, 665, 3497, 81, 1338, 26, 4627, 30, 319, 1132, 30, 1115, 5321, 711, 400, 7841, 81, 983, 280, 330, 14032, 32, 5866, 32, 13507, 32, 1439, 32, 371, 81, 1338, 25, 400, 623, 7841, 26, 2675, 81, 983, 27, 619, 4395, 81, 371, 81, 1338, 44, 528, 4395, 81, 371, 81, 1338, 32, 601, 81, 853, 280, 5436, 26, 784, 32, 3524, 81, 1338, 27, 528, 442, 2599, 26, 13190, 3341, 1120, 2879, 1917, 30, 768, 5932, 547, 3524, 81, 1338, 26, 1891, 319, 1132, 30, 1115, 5321, 27, 291, 617, 3831, 81, 371, 81, 4627, 280, 630, 32, 725, 32, 371, 81, 4627, 291, 665, 16283, 81, 371, 81, 4627, 2740, 1132, 30, 1115, 5321, 711, 324, 623, 7841, 463, 14032, 32, 5866, 32, 1786, 32, 2879, 1917, 370, 5556, 537, 47, 13190, 3341, 1120, 2879, 1917, 711, 400, 442, 617, 3831, 81, 371, 81, 4627, 2740, 1132, 30, 1115, 5321, 27, 291, 630, 32, 725, 32, 371, 81, 4627, 280, 16283, 81, 371, 81, 4627, 284, 665, 894, 81, 2630, 81, 1338, 26, 784, 711, 291, 3616, 280, 4448, 32, 5006, 3247, 104, 35, 33, 83, 33, 85, 370, 5053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 4, 2, 2, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 10, 10, 10, 10, 4, 4, 7, 8, 6, 6, 8, 8, 8, 10, 9, 11, 10, 11, 8, 4, 4, 9, 10, 8, 9, 7, 8, 8, 8, 6, 6, 8, 10, 10, 10, 9, 10, 10, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 10, 10, 10, 13, 13, 11, 12, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 10, 10, 8, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 7, 7, 10, 10, 10, 8, 7, 7, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 8, 8, 8, 12, 12, 12, 12, 10, 12, 12, 8, 10, 10, 9, 11, 11, 11, 8, 8, 10, 10, 9, 11, 11, 11, 8, 9, 11, 10, 11, 8, 8, 8, 9, 11, 10, 11, 8, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 8, 8, 7, 8, 8, 6, 5, 5, 7, 8, 8, 8, 9, 8, 8, 10, 8, 8, 10, 8, 7, 7, 11, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 9, 14, 15, 15, 15, 14, 12, 12, 14, 14, 14, 14, 9, 9, 9, 14, 14, 14, 14, 13, 14, 14, 14, 12, 12, 14, 16, 15, 16, 16, 16, 14, 10, 10, 11, 15, 16, 16, 16, 16, 16, 15, 15, 15, 15, 14, 14, 14, 13, 13, 13, 15, 13, 13, 15, 13, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 9, 7, 8, 8, 8, 4, 4, 5, 6, 6, 6, 6, 6, 8, 6, 6, 8, 6, 5, 5, 7, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 13, 13, 11, 7, 7, 9, 11, 11, 11, 11, 11, 11, 13, 11, 11, 13, 11, 4, 4, 8, 9, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 0, 0, 0, 4, 4, 3, 3, 2, 2, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 4, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 2, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 1, 1, 2, 0, 1, 2, 2, 9, 9, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 1, 2, 9, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 2, 2, 1, 1, 2, 11, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 3, 0, 0, 1, 1, 1, 0, 0, 5, 0, 0, 1, 1, 7, 0, 2, 2, 1, 1, 1, 9, 0, 2, 2, 1, 4, 4, 5, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 5, 5, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1 ]
[ 465, 15798, 203, 465, 22405, 1356, 32, 1853, 30984, 619, 16112, 203, 935, 91, 280, 16112, 32, 1853, 30984, 346, 261, 203, 465, 1344, 4071, 203, 465, 3738, 203, 465, 11685, 203, 1536, 81, 3961, 280, 4247, 203, 823, 26828, 26, 1473, 711, 284, 330, 1427, 25, 284, 8300, 280, 11608, 3044, 47, 2521, 30, 319, 1132, 4731, 284, 665, 1156, 1664, 3207, 784, 30, 16964, 47, 2521, 30, 319, 84, 711, 330, 1427, 25, 284, 1156, 1664, 9818, 3961, 280, 11608, 784, 30, 16964, 47, 2521, 30, 319, 1132, 4731, 284, 665, 273, 35, 26, 784, 711, 330, 1427, 25, 284, 273, 35, 32, 3961, 280, 11608, 784, 4731, 284, 665, 273, 36, 26, 784, 30, 16964, 30, 323, 47, 2521, 711, 330, 1427, 25, 284, 273, 36, 32, 3961, 280, 11608, 784, 30, 16964, 30, 323, 47, 2521, 4731, 284, 665, 273, 37, 26, 784, 30, 16964, 30, 319, 1132, 711, 330, 1427, 25, 284, 273, 37, 32, 3961, 280, 11608, 784, 30, 16964, 30, 319, 1132, 4731, 284, 665, 273, 38, 26, 784, 30, 319, 1132, 711, 330, 1427, 25, 284, 273, 38, 32, 3961, 280, 11608, 784, 30, 319, 1132, 4731, 284, 665, 273, 39, 26, 784, 30, 16964, 30, 323, 47, 2521, 30, 319, 1132, 30, 1115, 4124, 711, 330, 1427, 25, 284, 273, 39, 32, 3961, 280, 11608, 784, 30, 16964, 30, 323, 47, 2521, 30, 319, 1132, 30, 1115, 5321, 4731, 284, 665, 273, 40, 26, 1347, 30, 630, 711, 330, 1427, 25, 284, 273, 40, 32, 3961, 280, 11608, 1347, 30, 630, 4731, 284, 665, 1156, 1851, 3207, 784, 30, 13915, 711, 330, 1427, 25, 284, 1156, 1851, 9818, 3961, 280, 11608, 784, 30, 13915, 4731, 284, 477, 17614, 284, 665, 14364, 26, 6933, 30, 312, 711, 330, 1427, 25, 284, 477, 16099, 284, 665, 3438, 26, 84, 711, 330, 1427, 25, 203, 5478, 280, 26828, 346, 203, 9569, 280, 16112, 32, 371, 81, 626, 81, 878, 261, 203, 823, 1390, 81, 9569, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 26354, 26, 784, 711, 291, 443, 1682, 26, 668, 711, 313, 720, 346, 3693, 20, 291, 443, 30238, 44, 225, 1156, 1851, 505, 280, 1665, 291, 665, 485, 858, 26, 2067, 30, 963, 711, 324, 630, 32, 5299, 26, 9569, 26, 2067, 471, 963, 27, 291, 415, 1682, 3667, 1427, 505, 438, 646, 1665, 44, 324, 485, 858, 26, 720, 30, 330, 37938, 96, 25, 474, 1682, 3667, 1427, 8223, 291, 485, 858, 26, 668, 3667, 890, 7642, 3083, 330, 70, 3667, 890, 3207, 69, 30, 18518, 967, 312, 537, 1300, 623, 827, 358, 30, 312, 36991, 432, 394, 683, 291, 485, 858, 26, 668, 3667, 1664, 7642, 3083, 330, 106, 3667, 1664, 3207, 8006, 35934, 816, 45, 2318, 3049, 26, 681, 26, 106, 490, 436, 8191, 683, 291, 5489, 81, 1427, 280, 225, 313, 62, 32, 1689, 26, 1473, 27, 769, 5489, 1300, 372, 943, 20, 291, 485, 858, 26, 668, 32, 1689, 30, 5489, 81, 1427, 27, 291, 485, 858, 2009, 997, 1689, 30, 5489, 81, 1427, 27, 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, 4, 3, 4, 4, 2, 2, 0, 3, 3, 2, 2, 4, 5, 5, 4, 0, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 4, 3, 7, 7, 2, 2, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 7, 7, 2, 2, 6, 5, 6, 4, 4, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 7, 7, 2, 2, 6, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 7, 7, 2, 2, 6, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 7, 7, 2, 2, 6, 5, 6, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 6, 4, 4, 6, 4, 3, 7, 7, 2, 2, 6, 5, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 7, 7, 2, 2, 6, 5, 6, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 7, 7, 2, 2, 6, 6, 6, 4, 4, 6, 6, 6, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 5, 4, 8, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 8, 8, 0, 3, 2, 2, 4, 0, 3, 2, 2, 3, 4, 4, 4, 4, 4, 0, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 6, 5, 9, 9, 9, 9, 4, 4, 5, 5, 5, 5, 9, 9, 8, 8, 4, 4, 5, 6, 6, 7, 6, 6, 6, 5, 5, 9, 10, 9, 11, 11, 12, 11, 9, 9, 4, 4, 5, 7, 8, 8, 6, 6, 6, 5, 5, 5, 9, 9, 10, 9, 9, 12, 13, 12, 10, 10, 11, 12, 12, 4, 4, 7, 7, 9, 8, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 9, 8, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 9, 8, 9, 7, 7, 8, 8, 7, 4, 4, 7, 7, 9, 9, 7, 7, 8, 8, 7, 4 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 7, 7, 2, 1, 2, 7, 7, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 2, 1, 2, 4, 1, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 4, 4, 6, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 6, 1, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 8, 1, 2, 1, 2, 2, 2, 2, 1, 2, 8, 1, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 10, 1, 2, 1, 2, 2, 1, 2, 10, 1, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 12, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 1, 2, 2, 1, 2, 12, 1, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 14, 1, 2, 1, 2, 2, 2, 14, 1, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 4, 4, 16, 1, 1, 1, 2, 2, 2, 16, 1, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 4, 4, 1, 18, 18, 1, 2, 1, 2, 2, 2, 1, 1, 2, 4, 4, 1, 19, 19, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 10, 10, 1, 1, 1, 2, 0, 1, 2, 2, 10, 10, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 3, 0, 2, 2, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 0, 2, 3, 3, 2, 2, 2, 4, 4, 0, 1, 0, 1, 2, 2, 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, 1, 0, 1, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 1, 0, 2, 1, 1, 3, 3, 1, 4 ]
[ 465, 2361, 203, 465, 2322, 203, 465, 2919, 2208, 203, 465, 316, 203, 465, 5237, 203, 465, 5592, 32, 4722, 32, 887, 314, 418, 619, 1847, 314, 418, 203, 10431, 81, 9572, 280, 1524, 203, 705, 3345, 458, 5967, 30, 3154, 3345, 322, 15649, 5911, 645, 203, 3142, 2276, 30, 1015, 322, 2276, 688, 793, 322, 5911, 14021, 3684, 372, 203, 3546, 13786, 32, 24523, 30, 556, 40032, 4905, 5251, 432, 5521, 5911, 623, 322, 203, 4254, 1257, 91, 35, 42, 96, 31, 1286, 1958, 203, 2993, 203, 589, 6830, 6751, 1792, 4843, 86, 26, 3607, 711, 334, 5592, 280, 1847, 314, 418, 32, 2208, 26, 3607, 27, 334, 5911, 280, 1605, 334, 34373, 81, 363, 81, 34039, 280, 5592, 32, 21967, 440, 1436, 657, 334, 34373, 81, 363, 81, 34039, 32, 8233, 26, 2593, 32, 21967, 440, 5999, 2131, 334, 436, 736, 328, 34373, 81, 363, 81, 34039, 44, 284, 636, 280, 736, 32, 11378, 440, 426, 657, 284, 415, 646, 636, 556, 646, 636, 32, 15990, 440, 41503, 81, 10280, 397, 3636, 3268, 440, 2633, 636, 4163, 1330, 1477, 623, 2484, 68, 15359, 904, 101, 20, 904, 636, 27, 284, 5911, 32, 1689, 26, 426, 77, 38, 19572, 334, 442, 5911, 203, 589, 15218, 2633, 1792, 1811, 26, 761, 81, 681, 30, 1628, 711, 334, 415, 803, 81, 681, 610, 313, 916, 563, 284, 345, 280, 316, 32, 1903, 463, 91, 35, 42, 96, 31, 1286, 6020, 6945, 36315, 12456, 6945, 1446, 3730, 77, 6945, 1446, 370, 1628, 27, 284, 415, 345, 44, 442, 345, 32, 1363, 26, 35, 27, 284, 345, 280, 316, 32, 1903, 463, 91, 35, 42, 96, 31, 1311, 6020, 6945, 36315, 12456, 6945, 1446, 3730, 77, 6945, 1446, 370, 1628, 27, 284, 415, 345, 44, 442, 345, 32, 1363, 26, 35, 27, 284, 345, 280, 316, 32, 1903, 463, 91, 35, 42, 96, 31, 853, 31, 426, 25743, 35, 31, 43, 79, 6020, 6945, 36315, 12456, 6945, 1446, 3730, 77, 6945, 1446, 370, 1628, 27, 284, 415, 345, 44, 442, 345, 32, 1363, 26, 35, 27, 334, 4348, 803, 81, 681, 610, 330, 754, 950, 284, 345, 280, 316, 32, 1903, 3247, 34254, 91, 35, 42, 96, 31, 1286, 78, 1958, 77, 6945, 36315, 41727, 41537, 3730, 77, 6945, 1446, 370, 1628, 27, 284, 415, 345, 44, 442, 345, 32, 1363, 26, 35, 27, 334, 4348, 803, 81, 681, 610, 330, 1152, 25, 556, 803, 81, 681, 610, 330, 2840, 950, 284, 345, 280, 316, 32, 1903, 463, 41503, 81, 2009, 51, 31, 76, 34, 31, 43, 81, 38131, 370, 1628, 27, 284, 415, 345, 44, 442, 345, 32, 1363, 26, 35, 27, 284, 345, 280, 316, 32, 1903, 3247, 34254, 91, 35, 42, 96, 31, 1286, 78, 1958, 1365, 729, 41727, 41537, 3730, 1365, 16249, 1628, 27, 284, 415, 345, 44, 442, 345, 32, 1363, 26, 35, 27, 334, 4348, 803, 81, 681, 610, 330, 1260, 950, 284, 345, 280, 316, 32, 1903, 463, 505, 8037, 5908, 3424, 27, 505, 370, 1628, 27, 284, 415, 345, 44, 442, 345, 32, 1363, 26, 35, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 6, 7, 6, 7, 6, 2, 2, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 2, 2, 6, 6, 6, 6, 5, 6, 5, 8, 7, 8, 7, 9, 9, 2, 2, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 4, 4, 5, 7, 6, 6, 7, 9, 10, 9, 11, 11, 11, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 9, 4, 4, 7, 8, 7, 9, 8, 10, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 3, 5, 5, 4, 4, 6, 6, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 11, 10, 10, 10, 11, 10, 10, 8, 8, 4, 4, 5, 5, 5, 7, 9, 10, 9, 10, 9, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 11, 10, 10, 10, 11, 10, 10, 8, 8, 4, 4, 5, 5, 5, 7, 9, 10, 9, 10, 9, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 11, 10, 10, 10, 11, 10, 10, 8, 8, 4, 4, 5, 5, 5, 7, 9, 10, 9, 10, 9, 3, 3, 4, 6, 6, 5, 5, 7, 7, 4, 4, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11, 11, 11, 12, 11, 11, 9, 9, 5, 5, 6, 6, 6, 8, 10, 11, 10, 11, 10, 3, 3, 4, 7, 7, 6, 6, 8, 8, 5, 5, 7, 7, 6, 6, 8, 8, 4, 4, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 6, 6, 8, 10, 11, 10, 11, 10, 5, 5, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 6, 6, 8, 10, 11, 10, 11, 10, 3, 3, 4, 6, 6, 5, 5, 7, 7, 4, 4, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 6, 6, 8, 10, 11, 10, 11, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 2, 0, 4, 4, 4, 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, 2, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 0, 0, 0, 2, 1, 1, 2, 5, 5, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 2, 1, 0, 1, 0, 2, 4, 4, 5, 0, 8, 8, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 8, 8, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 1, 1, 1, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 3, 3, 5, 5, 5, 0, 0, 2, 1, 1, 1, 0, 0, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 1, 2, 1, 1, 3, 3, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 5, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 6, 0, 0, 1, 1, 1, 2, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 0, 0, 2, 1, 1, 1 ]
[ 1070, 7062, 32, 26354, 1188, 629, 203, 1070, 13625, 1188, 31466, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 2387, 32, 1536, 9211, 1188, 1628, 2969, 101, 839, 30, 13380, 16138, 203, 1070, 597, 4669, 278, 482, 1188, 3079, 203, 1070, 597, 4669, 278, 482, 32, 2957, 1188, 4070, 203, 1070, 6093, 32, 8538, 1188, 947, 20469, 6315, 1241, 203, 1070, 597, 4669, 278, 482, 32, 9947, 32, 3378, 1188, 947, 20469, 6315, 203, 1070, 597, 4669, 278, 482, 32, 2304, 32, 465, 299, 1188, 1188, 81, 4260, 3251, 81, 983, 203, 3317, 280, 3079, 32, 5876, 346, 203, 50, 3317, 32, 266, 13715, 81, 2142, 440, 9947, 33, 6411, 33, 8680, 32, 916, 392, 8727, 81, 1819, 47, 1815, 27, 203, 589, 8446, 81, 979, 26, 1819, 30, 2830, 711, 284, 2234, 280, 947, 20469, 6315, 1241, 26, 1819, 1365, 1357, 3439, 2830, 30, 2267, 81, 314, 47, 1815, 27, 284, 1596, 44, 291, 1619, 1365, 40815, 81, 3647, 81, 599, 1446, 284, 2940, 25085, 44, 291, 1619, 1365, 40815, 81, 3647, 81, 599, 1446, 280, 2234, 284, 1619, 1365, 311, 40815, 81, 3647, 81, 599, 1446, 280, 2234, 284, 1619, 1365, 3647, 81, 965, 1446, 280, 10156, 440, 3647, 657, 284, 1619, 1365, 1473, 81, 979, 81, 8680, 1446, 280, 2830, 284, 442, 1619, 32, 15478, 346, 203, 50, 3317, 32, 266, 13715, 81, 2142, 440, 9947, 33, 6411, 33, 3647, 32, 916, 392, 8727, 81, 1819, 47, 1815, 27, 203, 589, 5093, 81, 3426, 26, 1819, 30, 2935, 711, 284, 415, 313, 464, 81, 8680, 20, 646, 328, 1619, 44, 291, 8446, 280, 31466, 26, 668, 27, 291, 415, 313, 1357, 20, 328, 1619, 461, 1619, 1365, 1357, 6494, 496, 32, 297, 81, 15989, 44, 324, 8446, 81, 37741, 280, 2935, 32, 8680, 32, 464, 346, 291, 813, 44, 324, 8446, 81, 37741, 280, 2935, 32, 8680, 32, 7891, 346, 291, 436, 5093, 328, 8446, 81, 37741, 32, 1613, 81, 10513, 440, 496, 10280, 324, 8446, 77, 3647, 32, 4315, 3032, 81, 452, 81, 314, 997, 1689, 26, 3647, 27, 291, 1619, 1365, 464, 81, 8680, 1446, 280, 8446, 284, 2935, 81, 314, 280, 2935, 32, 314, 415, 6937, 26, 2544, 30, 947, 20469, 6315, 27, 813, 1665, 284, 1596, 44, 291, 7081, 3032, 81, 452, 280, 629, 26, 1819, 1365, 1357, 6494, 3705, 1365, 4315, 3032, 81, 452, 6890, 284, 2940, 25085, 44, 291, 7081, 3032, 81, 452, 280, 225, 34, 284, 1619, 32, 1877, 1371, 291, 313, 8680, 81, 979, 81, 3426, 563, 1619, 1365, 464, 81, 8680, 6494, 371, 26, 2544, 81, 314, 30, 38178, 291, 313, 1347, 81, 8680, 563, 2935, 81, 314, 438, 1665, 461, 646, 1619, 1365, 464, 81, 8680, 3439, 291, 313, 4315, 3032, 81, 452, 563, 7081, 3032, 81, 452, 30, 284, 1790, 284, 442, 1619, 32, 15478, 346, 203, 50, 3317, 32, 266, 13715, 81, 2142, 440, 2300, 33, 6411, 33, 18622, 81, 8680, 32, 916, 392, 8727, 81, 1819, 47, 1815, 27, 203, 589, 8289, 81, 8680, 26, 1819, 711, 284, 6615, 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, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 2, 2, 5, 5, 7, 7, 7, 7, 9, 8, 10, 10, 7, 7, 7, 9, 9, 8, 9, 7, 3, 3, 4, 4, 4, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 5, 5, 5, 9, 11, 11, 11, 11, 11, 11, 8, 8, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 3, 3, 6, 8, 8, 8, 8, 5, 5, 7, 9, 9, 3, 3, 6, 8, 8, 8, 8, 8, 8, 5, 5, 3, 3, 4, 6, 7, 6, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 2, 2, 4, 7, 7, 7, 7, 5, 5, 5, 4, 4, 4, 7, 7, 9, 10, 9, 5, 5, 6, 10, 10, 8, 8, 7, 7, 10, 12, 12, 10, 8, 9, 9, 9, 6, 6, 6, 10, 10, 9, 9, 12, 13, 11, 12, 11, 6, 6, 7, 7, 7, 11, 11, 10, 10, 13, 14, 12, 13, 12, 5, 5, 6, 6, 6, 9, 9, 8, 9, 9, 9, 8, 10, 10, 6, 6, 11, 13, 12, 13, 13, 13, 13, 13, 13, 11, 11, 10, 11, 10, 5, 5, 8, 10, 10, 10, 10, 7, 7, 3, 3, 6, 6, 5, 5, 7, 8, 6, 6, 8, 9, 8, 8, 9, 9, 8, 6, 6, 3, 3, 4, 4, 4, 8, 8, 8, 7, 7, 9, 13, 12, 14, 14, 12, 10, 12, 12, 12, 12, 12, 4, 4, 5, 5, 5, 5, 9, 9, 9, 8, 8, 9, 3, 3, 6, 7, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 11, 13, 13, 13, 13, 11, 10, 11, 11, 11, 10, 10, 7, 7, 10, 10, 10, 10, 8, 11, 11, 10, 10, 9, 9, 10, 11, 13, 13, 13, 13, 7, 7, 10, 10, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 3, 3, 4, 6, 7, 6, 0, 2, 5, 4, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 5 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 3, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 0, 7, 7, 0, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 0, 0, 0, 1, 2, 1, 4, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 10, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 5, 2, 1, 4, 4, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 5, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 11, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 3, 3, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 2, 2, 4, 4, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 12, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0 ]
[ 1070, 2313, 378, 32, 5740, 1188, 10880, 203, 1070, 2313, 378, 32, 5740, 32, 41204, 1188, 6063, 203, 1070, 2313, 378, 32, 5740, 32, 41204, 1188, 8565, 203, 1070, 2313, 378, 32, 4882, 1188, 1695, 203, 1070, 2313, 378, 32, 4882, 1188, 8745, 203, 823, 2108, 8386, 26, 1439, 32, 1761, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 1006, 8386, 30, 630, 547, 23741, 346, 291, 630, 32, 1199, 280, 630, 32, 539, 11878, 26, 2304, 32, 3954, 1157, 291, 630, 32, 2095, 280, 8745, 32, 11215, 81, 1819, 346, 291, 630, 32, 605, 280, 39228, 2250, 81, 314, 950, 330, 2250, 81, 314, 81, 27028, 370, 2855, 330, 6572, 950, 330, 369, 38, 37, 87, 37, 38, 41, 88, 34, 84, 34, 38, 36, 36, 42, 36, 39, 36, 38, 39, 84, 37, 87, 39, 88, 35, 38, 34, 83, 42, 35, 24567, 40, 87, 40, 39, 84, 370, 2855, 330, 496, 81, 314, 950, 330, 88, 1092, 370, 2855, 330, 426, 950, 330, 9247, 35, 370, 2855, 330, 2310, 950, 330, 858, 8565, 370, 2855, 330, 7489, 81, 314, 950, 330, 7489, 31, 6572, 31, 35, 36, 37, 38, 370, 2855, 330, 3963, 950, 330, 9247, 5911, 370, 2855, 330, 5623, 81, 314, 950, 330, 5623, 81, 314, 81, 35, 6040, 79, 291, 8745, 32, 1297, 81, 3378, 81, 1070, 81, 605, 26, 9247, 32, 8386, 30, 630, 32, 605, 30, 630, 32, 2095, 27, 284, 665, 894, 81, 5740, 81, 17360, 26, 784, 711, 291, 630, 32, 6549, 26, 8200, 32, 8386, 27, 291, 630, 32, 6549, 26, 8200, 32, 8386, 720, 27, 284, 665, 894, 81, 371, 81, 464, 26, 784, 711, 291, 20265, 280, 8565, 32, 8386, 720, 346, 291, 630, 32, 5299, 26, 35, 30, 2069, 26, 9980, 32, 371, 81, 464, 26, 784, 32, 2095, 2610, 284, 665, 894, 81, 1553, 81, 605, 26, 784, 711, 291, 17311, 280, 8565, 32, 8386, 922, 371, 81, 1170, 81, 314, 26, 784, 32, 2095, 30, 630, 32, 605, 77, 34, 5795, 314, 3490, 291, 436, 1202, 30, 786, 328, 630, 32, 605, 77, 34, 997, 3028, 2262, 324, 630, 32, 5299, 26, 853, 30, 18623, 26, 1349, 30, 1202, 490, 284, 665, 894, 81, 1553, 81, 605, 81, 1170, 81, 7489, 81, 314, 26, 784, 711, 291, 17311, 280, 8565, 32, 8386, 922, 371, 81, 1170, 81, 7489, 81, 314, 26, 784, 32, 2095, 30, 630, 32, 605, 77, 34, 1674, 324, 330, 7489, 81, 314, 3490, 291, 436, 1202, 30, 786, 328, 630, 32, 605, 77, 34, 997, 3028, 2262, 324, 630, 32, 5299, 26, 853, 30, 18623, 26, 1349, 30, 1202, 490, 284, 665, 894, 81, 2135, 81, 10500, 26, 784, 711, 291, 17311, 280, 8565, 32, 8386, 922, 371, 81, 1170, 81, 314, 26, 784, 32, 2095, 30, 630, 32, 605, 77, 34, 5795, 314, 3490, 291, 538, 35, 280, 6063, 32, 6136, 346, 291, 538, 35, 32, 6572, 280, 330, 2232, 25, 291, 538, 35, 32, 9247, 81, 314, 280, 17311, 32, 314, 291, 538, 35, 32, 1297, 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, 3, 2, 3, 1, 1, 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, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 11, 10, 11, 10, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 9, 12, 11, 12, 12, 12, 11, 13, 12, 13, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 10, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 11, 12, 10, 11, 10, 11, 11, 4, 4, 5, 6, 6, 5, 5, 9, 10, 8, 9, 8, 8, 7, 5, 5, 9, 10, 9, 10, 9, 9, 11, 12, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 10, 9, 9, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 11, 12, 10, 11, 10, 9, 9, 11, 11, 11, 11, 4, 4, 5, 6, 6, 5, 5, 9, 10, 8, 9, 8, 8, 7, 5, 5, 9, 10, 9, 10, 9, 9, 11, 12, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 10, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 11, 12, 10, 11, 10, 11, 11, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 8, 7, 8, 6, 6, 8, 8, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 8, 4, 4, 8, 7, 8, 7 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 2, 1, 1, 1, 2, 7, 1, 1, 2, 1, 1, 1, 2, 9, 1, 1, 2, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 13, 1, 1, 2, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 3, 3, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 0, 0, 1, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 1 ]
[ 1648, 262, 280, 313, 34, 32, 43, 32, 34, 20, 203, 505, 2116, 505, 225, 280, 313, 62, 4177, 570, 675, 78, 103, 34, 34, 87, 38, 11001, 308, 4043, 101, 50, 89, 675, 36489, 342, 32, 286, 4731, 203, 505, 770, 505, 264, 280, 3941, 1547, 44, 225, 36, 34, 35, 35, 31, 34, 36, 31, 36, 39, 225, 35, 41, 44, 38, 36, 44, 34, 35, 474, 34, 36, 34, 34, 308, 42858, 30, 225, 36, 39, 25156, 225, 36, 34, 35, 35, 27, 17512, 203, 505, 4126, 11649, 505, 261, 280, 3941, 606, 44, 13539, 761, 32, 978, 225, 42, 42, 39, 42, 40, 225, 36, 34, 35, 35, 31, 34, 36, 31, 36, 39, 225, 35, 39, 44, 38, 36, 44, 34, 35, 76, 345, 10242, 31, 44457, 32, 274, 1232, 46380, 17512, 203, 505, 36157, 505, 280, 313, 57, 675, 28216, 489, 1075, 289, 28397, 30, 489, 673, 101, 570, 675, 78, 103, 34, 34, 87, 38, 11001, 30, 39042, 394, 875, 2714, 3107, 203, 465, 5237, 203, 465, 2322, 203, 465, 3363, 203, 465, 22977, 203, 465, 6314, 203, 465, 1133, 203, 465, 1671, 203, 465, 1933, 203, 465, 316, 203, 1270, 44, 284, 1188, 30666, 30, 26355, 203, 7343, 29986, 44, 284, 30666, 280, 26355, 280, 1665, 203, 39166, 81, 3893, 280, 308, 2212, 924, 30, 22210, 27, 203, 1270, 44, 284, 27625, 81, 3893, 1454, 308, 65, 21887, 21713, 203, 7343, 3270, 924, 44, 284, 3097, 203, 505, 464, 505, 280, 3037, 31083, 974, 392, 313, 31083, 1120, 392, 313, 297, 81, 5366, 761, 392, 313, 31083, 924, 1446, 203, 64, 792, 280, 323, 7646, 34, 20, 7188, 203, 10322, 3364, 280, 225, 39, 35, 36, 5688, 203, 23607, 3364, 280, 20313, 3364, 319, 225, 36, 34, 647, 203, 21327, 81, 30924, 280, 323, 20, 675, 282, 225, 766, 34, 20, 263, 203, 30045, 81, 30924, 280, 323, 20, 675, 282, 78, 106, 34, 34, 34, 34, 20, 262, 203, 9568, 81, 2474, 280, 225, 35, 34, 34, 2071, 203, 9568, 81, 11238, 280, 225, 35, 34, 34, 2071, 203, 9568, 81, 9857, 280, 225, 35, 39, 39, 2850, 203, 4733, 2319, 280, 323, 20, 34, 20, 6019, 203, 3195, 57, 2319, 280, 323, 7646, 34, 20, 423, 203, 21767, 61, 2319, 280, 323, 20, 35, 20, 6019, 203, 14602, 2319, 280, 323, 20, 36, 20, 6019, 203, 1405, 68, 2319, 280, 323, 20, 37, 20, 6019, 203, 28261, 2319, 280, 323, 20, 38, 20, 6019, 203, 3197, 2319, 280, 323, 20, 39, 20, 6019, 203, 1818, 56, 1194, 6031, 280, 323, 20, 40, 20, 5688, 203, 4671, 2319, 280, 323, 20, 41, 20, 5688, 203, 11785, 1068, 6031, 81, 10129, 2474, 280, 323, 20, 62, 20, 2033, 203, 11785, 1068, 6031, 81, 42323, 2060, 18418, 280, 323, 20, 61, 20, 2033, 203, 11785, 1068, 6031, 81, 48565, 280, 323, 20, 69, 20, 1468, 203, 74, 12714, 2319, 280, 323, 20, 106, 20, 6019, 203, 74, 2060, 2319, 280, 323, 20, 89, 20, 6019, 203, 18634, 783, 1296, 81, 74, 12714, 2319, 280, 323 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 5, 5, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 3, 3, 3, 0, 1, 1, 1, 1, 5, 5, 4, 4, 6, 6, 5, 1, 2, 2, 3, 2, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 0, 3, 3, 2, 2, 4, 5, 4, 0, 0, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 2, 2, 4, 3, 3, 4, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 5, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 0, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 4, 5, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 14, 14, 14, 14, 0, 0, 0, 14, 3, 3, 3, 3, 3, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 16, 16, 16, 16, 0, 0, 0, 0, 1, 1, 2, 16, 3, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 465, 1933, 203, 465, 2771, 2872, 203, 465, 316, 203, 1070, 13625, 1188, 31466, 203, 1070, 6560, 13821, 1188, 9215, 203, 1070, 6560, 13821, 32, 11382, 1188, 6512, 203, 1070, 6560, 13821, 32, 8524, 1188, 3519, 81, 681, 30, 1344, 81, 681, 30, 1044, 203, 1070, 6560, 13821, 32, 1581, 32, 30840, 81, 272, 1188, 40514, 203, 1070, 6560, 13821, 32, 1217, 1188, 2678, 1262, 203, 823, 12435, 26, 99, 1262, 32, 1625, 711, 284, 1156, 1664, 2516, 505, 280, 5436, 26, 25391, 47, 466, 30, 1344, 47, 878, 81, 681, 30, 9760, 47, 1808, 27, 284, 665, 1156, 1664, 3207, 784, 30, 1600, 426, 30, 1344, 30, 9760, 47, 35, 32, 34, 30, 1847, 13730, 47, 2521, 711, 291, 630, 32, 25391, 280, 1600, 426, 291, 630, 32, 878, 280, 1344, 291, 630, 32, 9377, 280, 9760, 291, 630, 32, 887, 13730, 280, 1847, 13730, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 442, 308, 2455, 400, 461, 630, 3667, 823, 505, 438, 1604, 3667, 823, 505, 400, 461, 630, 32, 25391, 610, 1604, 32, 25391, 400, 461, 630, 32, 878, 610, 1604, 32, 878, 400, 461, 630, 32, 9377, 610, 1604, 32, 9377, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 540, 280, 5461, 101, 7846, 100, 30, 904, 100, 20, 904, 308, 784, 3667, 823, 29215, 426, 7642, 630, 32, 25391, 30, 630, 32, 878, 27, 291, 415, 630, 32, 9377, 863, 225, 35, 32, 34, 44, 324, 540, 1454, 3003, 9760, 6132, 101, 20, 904, 630, 32, 9377, 291, 540, 1454, 35074, 291, 442, 540, 284, 665, 1156, 9941, 3207, 784, 711, 291, 1344, 280, 630, 32, 878, 291, 415, 6937, 26, 878, 30, 3519, 81, 681, 711, 324, 1596, 44, 400, 1344, 280, 1344, 32, 5460, 440, 14510, 657, 324, 2940, 23174, 11867, 924, 44, 400, 1344, 280, 26542, 26, 878, 27, 291, 273, 280, 1044, 4912, 101, 6069, 101, 657, 904, 308, 784, 32, 25391, 30, 1344, 27, 291, 415, 630, 32, 9377, 863, 225, 35, 44, 324, 273, 1454, 1044, 29318, 657, 474, 1344, 81, 681, 26, 784, 32, 9377, 27, 291, 442, 273, 284, 1156, 466, 505, 280, 1156, 9941, 505, 284, 665, 1156, 2888, 3207, 784, 711, 291, 442, 3677, 26, 784, 32, 25391, 27, 5304, 3677, 26, 784, 32, 878, 27, 5304, 3677, 26, 784, 32, 9377, 27, 284, 665, 1401, 81, 13086, 26, 784, 711, 291, 442, 2933, 284, 665, 7937, 26, 784, 30, 9760, 47, 35, 32, 34, 711, 291, 6761, 6512, 26, 25391, 47, 784, 32, 25391, 30, 1344, 47, 784, 32, 878, 30, 528, 9760, 47, 9377, 319, 630, 32, 9377, 30, 1477, 1594, 47, 784, 32, 1366, 1594, 30, 528, 943, 1594, 47, 784, 32, 416, 1594, 30, 16656, 47, 1815, 27, 284, 665, 5955, 26, 784, 30, 44217, 47, 2700, 711, 291, 415, 630, 32, 1495, 2262, 324, 6761, 308, 784, 32, 1495, 1026, 630, 32, 878, 27, 284, 665, 7084, 26, 784, 30, 1600, 426, 30, 3610, 878, 30, 537, 878, 711, 291, 2678, 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, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 4, 4, 6, 8, 7, 8, 6, 6, 7, 8, 8, 8, 6, 6, 7, 8, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 5, 6, 6, 6, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 11, 10, 10, 10, 12, 13, 13, 11, 11, 12, 13, 13, 9, 9, 9, 11, 12, 10, 10, 11, 12, 8, 8, 8, 10, 11, 9, 9, 10, 11, 7, 7, 7, 9, 10, 8, 8, 9, 10, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 7, 11, 10, 11, 11, 10, 10, 8, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 7, 8, 6, 6, 7, 7, 7, 5, 5, 5, 8, 8, 11, 11, 11, 11, 9, 9, 10, 11, 4, 4, 6, 6, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 5, 7, 8, 7, 7, 8, 8, 7, 5, 5, 7, 7, 7, 10, 10, 12, 13, 12, 14, 14, 7, 7, 8, 9, 9, 8, 8, 8, 11, 11, 13, 14, 13, 4, 4, 6, 6, 9, 11, 11, 11, 11, 7, 7, 10, 9, 10, 8, 8, 8, 4, 4, 5, 7, 8, 6, 6, 7, 5, 5, 5, 8, 8, 11, 13, 9, 9, 11, 11, 11, 13, 12, 13, 11, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 11, 10, 11, 9, 7, 7, 9, 11, 10, 11, 9, 6, 6, 8, 10, 9, 10, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 4, 5, 6, 6, 6, 4, 3, 3, 6, 8, 10, 9, 11, 10, 11, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 11, 10, 10, 11, 12, 8, 8, 10, 9, 11, 10, 11, 11, 8, 8, 8, 10, 9, 11, 10, 11, 11, 8, 8, 9, 10, 8, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 7, 8, 7, 5, 5, 8, 12, 11, 12, 11, 9, 10, 11, 9, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 8, 8, 0, 1, 2, 1, 4, 4, 4, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 10, 10, 2, 0, 0, 1, 2, 2, 10, 10, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 0, 9, 2, 2, 1, 1, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 4, 4, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 4, 4, 3, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 4, 4, 3, 0, 2, 1, 1, 2, 3, 3, 3, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 6, 1, 1, 1, 2, 6, 6, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 4, 4, 8, 2, 1, 2, 2, 3, 2, 2, 2, 2, 8, 8, 0, 1, 0, 1, 0, 2, 2, 1, 1, 3, 0, 2, 2, 1, 1, 1, 5, 0, 2, 2, 2, 2, 1, 1, 0, 7, 0, 2, 2, 2, 1, 1, 1, 0, 9, 0, 2, 2, 2, 1, 1, 11, 2, 1, 4, 4, 9, 2, 1, 2, 2, 3, 2, 2, 9, 9, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 3, 2, 1, 4, 4, 10, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 10, 10, 0 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 1070, 18792, 32, 21332, 1188, 308, 2029, 30, 1509, 30, 1992, 30, 2155, 30, 8529, 27, 261, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 2, 3, 1, 1, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 16560, 81, 3925, 81, 2630, 2386, 81, 37261, 203, 1648, 81, 11043, 44, 313, 36, 32, 42, 20, 203, 4021, 81, 2310, 44, 1390, 3379, 9095, 11617, 44052, 32, 203, 2310, 44, 284, 429, 1390, 44052, 432, 9095, 11617, 32, 203, 2184, 44, 284, 2869, 81, 1363, 44, 291, 3048, 44, 324, 429, 886, 636, 432, 322, 2869, 2350, 32, 291, 2129, 44, 2933, 284, 636, 44, 291, 3048, 44, 324, 429, 886, 636, 432, 322, 3851, 1980, 32, 284, 5911, 44, 291, 3048, 44, 324, 429, 16106, 3276, 810, 15484, 312, 1149, 432, 5911, 32, 10276, 5911, 619, 330, 678, 25, 556, 330, 678, 44, 853, 2473, 203, 9971, 81, 10270, 81, 9854, 44, 284, 429, 16560, 203, 2116, 44, 284, 429, 313, 76, 449, 40706, 266, 44925, 11931, 108, 1546, 279, 6100, 4731, 203, 9592, 203, 1460, 39189, 280, 5881, 334, 429, 636, 44, 1390, 2818, 9095, 11617, 44052, 284, 16560, 81, 3925, 81, 2630, 2386, 81, 37261, 44, 397, 2869, 81, 1363, 44, 2869, 81, 1363, 81, 426, 397, 636, 44, 3851, 81, 1363, 81, 426, 334, 429, 636, 44, 1682, 9095, 36283, 328, 312, 3191, 2869, 2350, 636, 284, 16560, 81, 3925, 81, 2630, 2386, 81, 37261, 44, 397, 2869, 81, 1363, 44, 2869, 81, 1363, 81, 426, 203, 9592, 203, 10934, 280, 5881, 203, 2630, 81, 6332, 44, 284, 3048, 44, 399, 1149, 432, 9095, 11617, 39290, 32, 284, 4717, 44, 5182, 284, 827, 44, 8640, 284, 4304, 44, 291, 804, 44, 324, 3048, 44, 400, 429, 886, 2869, 804, 32, 324, 4717, 44, 5182, 324, 827, 44, 596, 324, 3964, 44, 2430, 16550, 33, 17894, 31, 7861, 31, 7861, 31, 7861, 31, 17894, 7861, 33, 47679, 33, 6380, 33, 13889, 33, 4499, 32, 2879, 1810, 33, 2630, 7332, 33, 1772, 528, 15293, 20, 291, 2869, 81, 1363, 44, 324, 3048, 44, 400, 429, 6287, 2350, 2154, 322, 3851, 5375, 32, 324, 4717, 44, 5182, 324, 827, 44, 596, 324, 3964, 44, 894, 1252, 291, 636, 44, 324, 3048, 44, 400, 429, 886, 2869, 636, 32, 324, 4717, 44, 5182, 324, 827, 44, 596, 324, 3964, 44, 1672, 12824, 291, 3894, 44, 324, 3048, 44, 400, 429, 886, 2869, 3894, 32, 324, 4717, 44, 5182, 324, 827, 44, 596, 324, 3964, 44, 38689, 352, 291, 2322, 81, 681, 44, 324, 3048, 44, 400, 429, 886, 6642, 827, 432, 15293, 32, 324, 4717, 44, 5182, 324, 827, 44, 596, 324, 3964, 44, 14244, 291, 4749, 81, 2468, 44, 324, 3048, 44, 400, 429, 4600, 2965, 432, 322, 3851, 1980, 32, 324, 4717, 44, 5182, 324, 827, 44, 596, 324, 3964, 44, 225, 35, 41, 37, 32, 35, 39, 32, 35, 42, 32, 35, 291, 14844 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 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 ]
[ 0, 0, 0, 0, 0, 0, 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, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 13625, 203, 1070, 6109, 81, 2846, 32, 8524, 1188, 33953, 30, 15390, 81, 452, 81, 13707, 203, 823, 2744, 7167, 26, 20663, 7167, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 15248, 280, 10306, 32, 3235, 463, 15248, 683, 291, 2599, 26, 2891, 7167, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 284, 665, 1933, 26, 784, 711, 291, 442, 2744, 7167, 26, 784, 30, 16614, 47, 784, 32, 15248, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 5436, 3667, 13707, 3207, 784, 27, 284, 665, 1156, 8920, 3207, 784, 711, 291, 442, 308, 2665, 30, 308, 2665, 26, 784, 471, 490, 203, 823, 2744, 720, 26, 668, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 15248, 280, 10306, 32, 3235, 463, 15248, 683, 291, 2599, 26, 2891, 720, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 1149, 3667, 13707, 3207, 784, 27, 284, 665, 1156, 8920, 3207, 784, 711, 291, 442, 308, 668, 30, 308, 668, 26, 784, 471, 490, 203, 823, 16241, 1176, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1600, 30, 786, 30, 3878, 30, 5202, 1057, 7831, 291, 630, 1114, 1495, 280, 1600, 291, 630, 32, 853, 280, 786, 291, 630, 32, 4275, 280, 3878, 291, 630, 32, 426, 280, 5202, 474, 630, 32, 1495, 81, 426, 284, 665, 1156, 32110, 3207, 784, 30, 5601, 81, 426, 711, 291, 442, 18623, 26, 784, 1114, 1495, 30, 5601, 81, 426, 27, 284, 477, 2433, 284, 665, 617, 5866, 81, 823, 26, 784, 711, 291, 442, 630, 1114, 1495, 3667, 823, 505, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 15390, 81, 452, 81, 13707, 10385, 23, 101, 786, 6132, 101, 3878, 6132, 101, 6457, 904, 308, 324, 630, 3667, 823, 29215, 426, 7642, 630, 32, 853, 30, 630, 32, 4275, 291, 9658, 203, 823, 31954, 4716, 1176, 26, 4716, 1176, 711, 284, 665, 1156, 1731, 3207, 784, 711, 291, 436, 1600, 328, 630, 32, 4151, 32, 2810, 2262, 324, 6761, 630, 77, 1495, 32, 1495, 81, 426, 79, 284, 665, 1156, 33644, 3207, 784, 30, 1202, 711, 291, 1600, 280, 630, 32, 4151, 77, 678, 79, 291, 786, 280, 630, 32, 853, 32, 371, 26, 678, 27, 415, 630, 32, 853, 813, 1665, 291, 1048, 280, 630, 32, 4275, 32, 371, 26, 678, 27, 415, 630, 32, 4275, 813, 1665, 291, 415, 19326, 26, 1495, 30, 330, 4151, 7831, 324, 442, 31954, 4716, 1176, 26, 1495, 30, 786, 30, 1048, 30, 5202, 47, 784, 32, 426, 474, 41723, 291, 442, 16241, 1176, 26, 1495, 30, 786, 30, 1048, 30, 5202, 47, 784, 32, 426, 474, 41723, 203, 823, 17401, 7167, 26, 9769, 32, 12907, 4806, 711, 284, 665, 1156, 1664, 3207, 784, 30, 16614, 711, 291, 630, 32, 15248, 280, 16614, 291, 630, 32, 4151, 280, 33953, 346, 284, 665, 1156, 470 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 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, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 7, 8, 7, 7, 8, 10, 9, 10, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 6, 6, 9, 9, 10, 9, 7, 0, 1, 1, 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, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 6, 6, 9, 9, 10, 9, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 8, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 7, 8, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 11, 12, 12, 11, 11, 9, 10, 11, 9, 9, 10, 11, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 8, 9, 7, 8, 7, 5, 5, 8, 9, 11, 10, 11, 11, 11, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 7, 8, 7, 4, 4, 6, 6, 10, 11, 9, 10, 9, 10, 9, 7, 7, 8, 9, 7, 7, 4, 4, 6, 6, 10, 11, 9, 10, 9, 10, 9, 7, 7, 8, 9, 7, 7, 4, 4, 5, 7, 8, 7, 7, 9, 9, 5, 5, 7, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 10, 13, 12, 13, 11, 11, 4, 4, 5, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 11, 10, 11, 9, 9, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 2, 2, 3, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 0, 1, 1, 1, 3, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 3, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 1, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 0, 6, 6, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 7, 0, 0, 2, 2, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 7, 0, 0, 2, 2, 2, 0, 7, 7, 1, 2, 0, 1, 2, 2, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 4, 4, 1, 1 ]
[ 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 11040, 36, 81, 678, 203, 1648, 81, 11043, 44, 313, 35, 32, 39, 20, 203, 4021, 81, 2310, 44, 18040, 600, 11040, 36, 1202, 6092, 32, 203, 2310, 44, 284, 429, 48628, 11040, 36, 1202, 11847, 32, 1348, 2297, 1401, 312, 8450, 544, 4262, 31, 2195, 97, 2377, 225, 36, 32, 39, 203, 2184, 44, 334, 636, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 1202, 6092, 32, 284, 2129, 44, 861, 334, 1202, 81, 5010, 44, 284, 3048, 44, 397, 429, 5056, 1202, 7037, 32, 284, 2129, 44, 901, 334, 1603, 44, 284, 3048, 44, 397, 429, 1487, 556, 3066, 1202, 5210, 284, 2129, 44, 901, 284, 1244, 44, 330, 2689, 25, 284, 20664, 44, 1605, 334, 4465, 44, 284, 3048, 44, 397, 429, 11977, 436, 322, 3191, 2125, 372, 6153, 2670, 14116, 32, 284, 2129, 44, 901, 284, 1244, 44, 901, 284, 20664, 44, 1605, 284, 1503, 81, 11043, 44, 313, 35, 32, 40, 20, 334, 4465, 81, 5457, 44, 284, 3048, 44, 397, 429, 4971, 1946, 2670, 4465, 13344, 973, 30, 328, 6791, 284, 2129, 44, 901, 284, 1244, 44, 225, 37, 34, 34, 284, 20664, 44, 1605, 284, 1503, 81, 11043, 44, 313, 35, 32, 40, 20, 203, 9971, 81, 10270, 81, 9854, 44, 203, 429, 10176, 203, 429, 11040, 36, 203, 2116, 44, 313, 72, 266, 2460, 676, 564, 730, 11931, 108, 9922, 4731, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 5830, 44, 1665, 432, 3282, 8272, 739, 10176, 81, 3560, 81, 678, 30, 10176, 81, 7241, 81, 678, 30, 556, 6699, 32, 203, 21, 2030, 438, 20968, 688, 3623, 9215, 4706, 4886, 884, 739, 32, 203, 21, 9301, 312, 537, 11040, 36, 1202, 6092, 8189, 529, 2763, 82, 415, 646, 5024, 30, 3217, 4723, 203, 21, 945, 1202, 203, 31, 636, 44, 2280, 11040, 36, 1202, 334, 11040, 36, 81, 678, 44, 284, 636, 44, 2280, 203, 21, 9301, 312, 537, 11040, 36, 1202, 6092, 8189, 529, 2763, 82, 415, 646, 5024, 1471, 3943, 1202, 203, 21, 7037, 32, 225, 1348, 3065, 793, 322, 330, 761, 25, 11470, 3973, 372, 5083, 458, 2126, 9519, 32, 203, 31, 636, 44, 2280, 36, 11040, 36, 1202, 334, 11040, 36, 81, 678, 44, 284, 636, 44, 2280, 36, 284, 1202, 81, 5010, 44, 330, 9404, 31, 20544, 399, 15024, 11469, 1179, 379, 597, 50, 2763, 32, 508, 25, 284, 1603, 44, 5024, 203, 21, 9301, 312, 537, 11040, 36, 1202, 6092, 8189, 529, 2763, 82, 415, 646, 5024, 1471, 3943, 1202, 203, 21, 7037, 203, 31, 636, 44, 2280, 37, 11040, 36, 1202, 334, 11040, 36, 81, 678, 44, 284, 636, 44, 2280, 37, 284, 1202, 81, 5010, 44, 17610, 1623, 7397, 334, 623, 81, 761, 44, 517, 983, 33, 452, 33, 923, 81, 678, 32, 314, 81, 20544, 32, 2862, 203, 21, 24992, 11040, 36, 1202, 6092, 810, 636, 203, 31, 636, 44, 3345, 2280, 1202, 334, 11040, 36, 81, 678, 44, 284, 636, 44, 2280, 284, 1603, 44, 40118, 203, 9592, 203, 1270, 44, 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 ]
[ 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, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1 ]
[ 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, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2 ]
[ 1070, 4134, 1188, 1623, 18241, 203, 1070, 15121, 99, 1188, 310, 43580, 203, 1070, 31074, 1188, 13760, 30, 415, 1100, 203, 823, 18609, 26, 2665, 711, 284, 5881, 7167, 22948, 436, 33404, 3677, 444, 4684, 32, 225, 38517, 3823, 312, 20618, 284, 556, 6959, 470, 32, 225, 24448, 884, 7107, 619, 9473, 5036, 461, 3623, 15172, 284, 884, 7107, 619, 9473, 2078, 32, 284, 8217, 18609, 463, 6637, 6637, 4679, 683, 284, 18609, 14178, 107, 950, 225, 37, 30, 330, 108, 950, 225, 36, 30, 330, 89, 950, 225, 35, 1748, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 27182, 47, 2521, 30, 1115, 38103, 711, 291, 5881, 1922, 312, 537, 30, 3502, 18609, 1300, 32, 225, 4239, 415, 2702, 30, 2385, 4702, 291, 645, 600, 1509, 27182, 32, 225, 4647, 30, 7379, 322, 2385, 645, 4674, 7996, 291, 432, 4702, 372, 3623, 15172, 32, 291, 8217, 281, 280, 18609, 346, 10441, 588, 312, 537, 30, 3502, 7022, 291, 8217, 281, 280, 18609, 463, 89, 464, 2371, 339, 683, 423, 588, 312, 537, 7022, 645, 600, 27182, 291, 8217, 281, 280, 18609, 14178, 83, 950, 225, 38, 30, 330, 84, 950, 225, 36, 1748, 2264, 588, 312, 537, 7022, 645, 312, 7996, 291, 8217, 281, 280, 18609, 26, 83, 47, 38, 30, 323, 47, 36, 27, 6019, 588, 312, 537, 7022, 645, 11659, 2181, 291, 5881, 291, 630, 32, 1877, 26, 27816, 30, 1115, 38103, 27, 284, 665, 1156, 9785, 3207, 784, 30, 1202, 711, 291, 442, 225, 34, 284, 665, 4630, 81, 2282, 26, 784, 30, 310, 47, 2521, 711, 291, 5881, 720, 322, 310, 4630, 4942, 4702, 461, 3623, 15172, 645, 322, 4630, 291, 4942, 372, 322, 6225, 32, 225, 1670, 310, 438, 1665, 30, 1615, 1149, 1169, 1994, 15172, 32, 291, 8217, 18609, 463, 360, 27915, 339, 360, 1691, 1814, 7320, 81, 2282, 26, 37, 27, 291, 41449, 83, 370, 225, 39, 471, 2726, 100, 370, 225, 36, 471, 2726, 84, 370, 225, 36, 2177, 291, 5881, 291, 415, 310, 438, 1665, 44, 324, 442, 8594, 26, 784, 32, 40957, 1026, 1202, 47, 1094, 18241, 26, 35, 471, 10156, 47, 1815, 27, 291, 442, 310, 43580, 26, 96, 30, 630, 32, 40957, 1026, 1202, 47, 1094, 18241, 26, 35, 490, 284, 665, 4702, 26, 784, 711, 291, 5881, 5731, 2288, 4702, 29645, 1741, 2504, 619, 5075, 6496, 619, 2819, 2385, 32, 291, 8217, 281, 280, 18609, 463, 16680, 16680, 683, 291, 8217, 8594, 26, 85, 32, 7594, 1157, 291, 2107, 51, 370, 330, 51, 370, 330, 52, 370, 330, 52, 370, 330, 53, 370, 330, 53, 785, 291, 1670, 600, 1994, 1182, 2385, 1401, 2583, 739, 372, 5934, 556, 438, 312, 11003, 1451, 30, 291, 4702, 346, 1098, 5079, 561, 32, 291, 5881, 291, 436, 10313, 30, 2385, 328, 630, 32, 40957, 2262, 324, 436, 617, 328, 13760, 26, 2521, 30, 2385, 711, 400, 6761, 10313, 284, 477, 17614, 284, 665, 645, 3494, 26, 6933, 30, 27182, 30, 354, 47, 2521, 711, 291, 3636, 22210, 26, 324, 330, 6477, 32, 1070, 3494, 346, 438, 3469, 32, 225, 4417 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 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, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 6, 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, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 6, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 12, 11, 12, 11, 9, 10, 12, 12, 12, 13, 12, 9, 10, 11, 9, 4, 4, 5, 7, 7, 8, 7, 7, 9, 10, 9, 7, 8, 10, 10, 10, 11, 10, 2, 2, 3, 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, 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, 6, 6, 5, 5, 7, 8, 7, 5, 5, 7, 7, 7, 9, 10, 9, 9, 9, 7, 7, 10, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 5, 5, 5, 6, 7, 5, 4, 4, 6, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 2, 1, 2, 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, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 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, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 3, 0, 0, 1, 1, 1, 1, 5, 2, 1, 4, 4, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 5, 0, 0, 1, 1, 1, 4, 4, 4, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 1, 5, 5, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 1070, 1133, 1188, 1133, 203, 1070, 931, 30624, 1188, 484, 54, 14665, 1996, 30, 484, 7414, 57, 2597, 30, 739, 70, 44386, 620, 10326, 2871, 30, 739, 17225, 70, 44386, 30, 739, 19855, 1484, 2527, 30, 739, 6601, 39131, 31693, 1484, 2527, 30, 484, 6052, 30, 38268, 81, 2031, 30, 484, 5770, 974, 55, 12792, 265, 30, 484, 1183, 1151, 203, 1070, 19486, 32, 11936, 1188, 2625, 203, 1070, 19486, 32, 20914, 583, 8247, 1188, 10926, 583, 8247, 4018, 203, 1070, 1359, 1188, 3383, 1721, 1906, 30, 3383, 10922, 2023, 30, 1359, 30, 3383, 5374, 30, 3383, 1031, 30, 3383, 1918, 30, 3383, 885, 30, 3383, 15558, 30, 3139, 5126, 30, 3383, 11396, 30, 3383, 3061, 30, 3383, 4709, 30, 3383, 4049, 30, 3383, 2027, 30, 3383, 12319, 30, 3383, 5374, 1918, 203, 1070, 15635, 32, 26084, 1188, 5889, 10239, 30, 45318, 1304, 81, 58, 2918, 30, 45318, 1304, 81, 1926, 34285, 7651, 30, 45318, 1304, 81, 13236, 23607, 30, 45318, 1304, 81, 3674, 2695, 53, 30, 1244, 26037, 2924, 30, 803, 7530, 203, 1070, 4376, 10506, 299, 1188, 622, 1705, 620, 30, 622, 7090, 3313, 30, 622, 7090, 558, 30, 622, 21089, 65, 4547, 203, 1070, 19486, 32, 24265, 1572, 1188, 310, 449, 4018, 203, 1070, 19486, 32, 1183, 720, 1188, 9737, 1183, 720, 203, 1070, 1171, 1120, 1188, 1171, 1120, 203, 1070, 15635, 32, 23733, 1120, 1188, 30670, 1120, 203, 589, 10162, 6772, 1063, 2262, 203, 202, 1163, 32, 14481, 32, 539, 64, 2328, 18461, 280, 3383, 5374, 26, 1536, 280, 313, 37, 34, 392, 16682, 280, 428, 440, 37, 34, 392, 313, 37, 34, 20, 474, 313, 313, 474, 37158, 18461, 12941, 2884, 40, 34, 392, 26155, 14415, 12941, 2884, 35, 38, 38, 34, 392, 26155, 9297, 1292, 5808, 2131, 1130, 203, 202, 325, 622, 21089, 65, 4547, 346, 610, 330, 104, 417, 20042, 950, 357, 202, 1163, 32, 14481, 32, 7001, 2435, 81, 878, 81, 3592, 280, 3383, 10922, 2023, 26, 1536, 280, 2933, 27, 203, 202, 1824, 44, 357, 202, 1163, 32, 14481, 32, 7001, 2435, 81, 878, 81, 3592, 280, 3383, 10922, 2023, 26, 1536, 280, 3177, 27, 203, 202, 1163, 32, 1007, 11279, 280, 3383, 1721, 1906, 346, 203, 202, 1163, 32, 1007, 11279, 32, 8327, 4133, 280, 3383, 10922, 2023, 26, 1536, 280, 3177, 27, 203, 202, 1163, 32, 8795, 280, 3383, 1721, 1906, 346, 203, 202, 1163, 32, 8795, 32, 16080, 2950, 280, 3383, 4709, 26, 1536, 280, 2933, 27, 203, 202, 1163, 32, 8795, 32, 16080, 2576, 61, 81, 1141, 280, 3383, 5374, 26, 1536, 280, 313, 4382, 392, 16682, 280, 428, 440, 4382, 392, 26155, 4510, 11995, 12941, 2884, 5362, 1170, 392, 26155, 7761, 14019, 1170, 12941, 2884, 8327, 5362, 1170, 392, 26155, 7761, 11086, 31, 5362, 1170, 2131, 1130, 203, 202, 1163, 32, 8795, 32, 3608, 81, 1141, 280, 3383, 5374, 26, 1536, 280, 313, 4382, 392, 16682, 280, 428, 440, 4382, 392, 26155, 4510, 11995, 12941, 2884, 5362, 1170, 392, 26155, 7761, 14019, 1170, 2131, 1130, 203, 202, 1163, 32, 8795, 32, 2245, 47885, 280, 3383 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 1, 1, 7, 6, 7, 5, 6, 6, 6, 6, 4, 4, 6, 6, 8, 7, 7, 9, 9, 9, 6, 7, 7, 9, 11, 11, 11, 9, 13, 13, 13, 11, 11, 13, 10, 12, 14, 14, 8, 11, 11, 11, 9, 13, 13, 8, 11, 11, 11, 11, 11, 9, 13, 13, 13, 13, 8, 2, 2, 3, 3, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 3, 3, 9, 8, 9, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 10, 9, 9, 8, 3, 3, 4, 4, 4, 4, 10, 9, 10, 8, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 11, 10, 10, 9, 2, 2, 6, 5, 6, 6, 4, 4, 6, 6, 6, 2, 2, 7, 6, 7, 7, 5, 6, 6, 4, 4, 6, 6, 6, 8, 7, 7, 6, 2, 2, 6, 5, 6, 4, 4, 6, 6, 6, 2, 2, 7, 6, 7, 5, 6, 6, 4, 4, 6, 6, 8, 7, 7, 6, 2, 2, 7, 6, 7, 5, 6, 6, 6, 6, 6, 4, 4, 6, 6, 8, 7, 7, 9, 9, 6, 7, 7, 9, 11, 11, 9, 13, 13, 13, 8, 11, 11, 11, 9, 13, 13, 13, 13, 8, 11, 11, 11, 11, 9, 13, 13, 13, 13, 13, 13, 8, 2, 2, 7, 6, 7, 5, 6, 6, 6, 4, 4, 6, 6, 8, 7, 7, 9, 9, 6, 7, 7, 9, 11, 11, 9, 13, 13, 13, 8, 11, 11, 11, 9, 13, 13, 13, 13, 8, 2, 2, 7, 6, 7, 5, 6, 6, 4, 4 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 8, 8, 1, 2, 2, 8, 8, 0, 0, 0, 9, 9, 1, 2, 2, 9, 9, 0, 0, 0, 10, 10, 0, 10, 10, 0, 0, 11, 11, 1, 2, 2, 11, 11, 0, 0, 12, 12, 1, 1, 2, 12, 12, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 3, 0, 1, 2, 2, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 2, 4, 4, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 4, 4, 4, 4, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 2, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 3, 3, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 3, 3, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 2, 4, 4, 0, 0, 2, 0, 2, 2, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 9661, 1040, 203, 465, 6234, 203, 465, 1671, 203, 1070, 2192, 1188, 2192, 203, 1070, 638, 29143, 1188, 19571, 203, 589, 3240, 81, 2076, 26, 9184, 30, 3124, 711, 284, 3124, 280, 19571, 32, 16958, 26, 2076, 27, 284, 3124, 280, 1671, 32, 2423, 463, 48, 59, 370, 2069, 26, 2076, 490, 474, 3124, 284, 13363, 32, 2714, 464, 26, 2076, 27, 203, 589, 20530, 81, 2076, 26, 9184, 711, 284, 5081, 81, 48882, 280, 20530, 464, 26, 9184, 30, 225, 38, 27, 284, 415, 646, 5081, 81, 48882, 44, 291, 442, 1665, 284, 27085, 280, 1671, 32, 15404, 463, 48, 59, 370, 5081, 81, 48882, 5594, 34, 79, 284, 442, 19571, 32, 12474, 26, 12084, 464, 26, 9184, 30, 27085, 490, 203, 589, 20530, 464, 26, 9184, 30, 310, 711, 284, 706, 280, 4247, 284, 2218, 2069, 26, 605, 27, 333, 310, 44, 291, 6882, 280, 13363, 32, 12084, 26, 96, 429, 2069, 26, 605, 490, 291, 415, 646, 6882, 44, 324, 442, 1665, 291, 706, 1454, 6882, 284, 442, 706, 203, 589, 3124, 81, 2951, 26, 9184, 711, 284, 442, 646, 2192, 2009, 9184, 614, 10012, 10012, 34, 5594, 34, 79, 203, 589, 622, 81, 639, 26, 9184, 711, 284, 442, 13363, 32, 371, 9184, 426, 8532, 34, 79, 203, 589, 622, 81, 625, 26, 9184, 711, 284, 442, 13363, 32, 371, 9184, 426, 8532, 35, 79, 203, 589, 622, 81, 3994, 81, 625, 2262, 284, 13363, 280, 6234, 32, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 284, 13363, 32, 2539, 39109, 5007, 370, 225, 34, 490, 284, 2601, 280, 13363, 32, 371, 9184, 426, 8532, 35, 79, 284, 13363, 32, 2679, 346, 284, 442, 2601, 203, 589, 7650, 81, 2679, 81, 625, 26, 625, 30, 2164, 81, 426, 47, 2521, 711, 284, 436, 11504, 328, 9661, 1040, 32, 2416, 81, 1731, 2262, 291, 436, 4567, 328, 11504, 32, 16717, 2262, 324, 415, 4567, 32, 94, 3225, 77, 35, 79, 610, 2601, 44, 400, 1596, 44, 528, 11504, 32, 699, 346, 400, 2940, 9661, 1040, 32, 2791, 27209, 44, 528, 3097, 400, 813, 44, 528, 415, 2164, 81, 426, 438, 1665, 556, 11504, 32, 426, 922, 15990, 26, 2416, 81, 426, 711, 715, 1596, 44, 1014, 11504, 32, 14046, 346, 715, 2940, 308, 1069, 1040, 32, 26373, 2861, 30, 9661, 1040, 32, 2791, 27209, 711, 1014, 3097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 2, 2, 4, 4, 7, 8, 7, 9, 9, 9, 7, 9, 10, 9, 5, 5, 2, 2, 5, 6, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 7, 6, 6, 7, 6, 2, 2, 3, 4, 5, 5, 3, 3, 3, 5, 2, 2, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 8, 7, 6, 5, 2, 2, 3, 5, 6, 5, 7, 7, 7, 8, 7, 7, 7, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 6, 7, 6, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 10, 9, 9, 11, 12, 11, 4, 4, 5, 6, 5, 5, 5, 7, 4, 4, 6, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 7, 9, 8, 8, 8, 8, 7, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 7, 7, 6, 5, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 7, 7, 6, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 6, 2, 2, 5, 6, 5, 8, 8, 6, 7, 6, 2, 2, 4, 4, 7, 8, 8, 8, 7, 6, 5, 2, 2, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 3, 3, 6, 5, 6, 6, 6, 5, 3, 3, 5, 5, 5, 7, 8, 7, 5, 5, 7, 10, 11, 11, 9, 10, 9, 8, 8, 7, 7, 7, 9, 9, 9, 13, 14, 13, 9, 9, 10, 12, 11, 12, 12, 10, 10, 10, 9, 9, 10, 10, 10, 12, 15, 15, 14, 14, 13, 13, 17, 18, 17, 16, 15, 16, 16, 16, 15, 12, 12, 14, 14, 14, 18, 19, 18, 14, 14, 15, 18, 18, 17, 18, 18, 16, 16, 18, 17, 18, 18, 16, 15, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 3, 1, 2, 2, 4, 4, 3, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 8, 8, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 0, 3, 3, 0, 0, 4, 4, 2, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 1, 3, 5, 7, 1, 2, 1, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 2, 2, 2, 1, 2, 1, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 2, 2, 2, 1, 2, 1, 0, 12, 12, 1, 1, 1, 1, 2, 12, 12, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 2, 2, 4, 4, 0, 2, 1, 4, 4, 4, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 13, 13, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 3, 0, 1, 2, 2, 3, 3, 3, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 3, 0, 0, 1, 2, 2, 1, 1, 0, 3, 2, 2, 1, 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 ]
[ 1070, 32774, 305, 339, 716, 1188, 2914, 30, 2914, 81, 18986, 203, 1070, 32774, 305, 339, 716, 1188, 9058, 30, 18452, 203, 465, 298, 1601, 203, 465, 6436, 619, 2065, 203, 465, 5237, 203, 589, 1930, 81, 1322, 81, 2142, 26, 2881, 30, 3104, 711, 284, 442, 2914, 32, 2958, 81, 452, 81, 2142, 14178, 2881, 25, 499, 3401, 30, 6035, 330, 678, 25, 499, 298, 1601, 32, 24332, 463, 8771, 81, 1657, 1425, 6035, 330, 853, 25, 499, 298, 1601, 32, 1070, 81, 3222, 26, 1322, 471, 6035, 330, 1617, 314, 25, 499, 298, 1601, 32, 24332, 463, 9493, 81, 34129, 81, 615, 5874, 683, 1748, 203, 589, 1930, 81, 2142, 26, 2881, 30, 1202, 30, 786, 711, 284, 442, 2914, 32, 2958, 81, 452, 81, 2142, 14178, 2881, 25, 499, 3401, 30, 6035, 330, 678, 25, 499, 298, 1601, 32, 24332, 26, 678, 471, 6035, 330, 853, 25, 499, 786, 30, 6035, 330, 1617, 314, 25, 499, 298, 1601, 32, 24332, 463, 9493, 81, 34129, 81, 615, 5874, 683, 1748, 203, 589, 8868, 81, 3963, 26, 83, 30, 323, 711, 284, 442, 312, 32, 2881, 610, 323, 32, 2881, 461, 298, 1601, 32, 2228, 26, 83, 32, 678, 30, 323, 32, 678, 27, 461, 766, 2607, 298, 1601, 32, 2228, 26, 83, 32, 853, 30, 323, 32, 853, 27, 203, 823, 2678, 83, 81, 34129, 81, 615, 5874, 308, 771, 81, 18986, 32, 7233, 711, 284, 665, 14553, 308, 784, 711, 291, 630, 32, 7163, 280, 2914, 32, 1393, 81, 1521, 1404, 284, 665, 28921, 308, 784, 711, 291, 630, 32, 7163, 280, 1665, 284, 665, 894, 81, 486, 308, 784, 711, 291, 1406, 6126, 280, 225, 35, 34, 291, 2364, 6126, 280, 225, 35, 34, 291, 3104, 280, 225, 36, 34, 291, 706, 280, 2065, 32, 5783, 26, 1322, 474, 225, 35, 34, 27, 4456, 3223, 280, 2065, 32, 26442, 20726, 36, 32, 34, 28, 2356, 32, 5783, 26, 39, 471, 429, 38, 32, 34, 28, 2356, 32, 5783, 26, 39, 2610, 291, 5911, 280, 308, 2682, 81, 1322, 81, 2142, 26, 34, 30, 3104, 471, 27, 291, 2799, 280, 2065, 32, 26442, 1162, 2356, 32, 9880, 26, 1001, 6126, 471, 3223, 77, 34, 44, 39, 614, 9111, 2065, 32, 5783, 26, 1322, 429, 2069, 26, 3518, 3662, 3223, 77, 39, 44, 35, 34, 614, 9111, 2065, 32, 9880, 26, 1526, 6126, 2610, 291, 2971, 481, 280, 1930, 81, 1322, 81, 2142, 26, 34, 30, 3104, 474, 1406, 6126, 474, 2364, 6126, 27, 291, 1914, 280, 9058, 32, 2402, 81, 1855, 81, 88, 26, 605, 30, 5911, 47, 3963, 27, 291, 787, 5874, 280, 18452, 32, 34129, 81, 615, 5874, 81, 486, 26, 3518, 30, 1406, 81, 5281, 47, 1001, 6126, 30, 11244, 2364, 81, 5281, 47, 1526, 6126, 27, 291, 18406, 280, 9058, 32, 2402, 81, 16384, 81, 88, 346, 291, 630, 32, 7163, 32, 3517, 26, 1855, 30, 787, 5874, 30, 18406, 27, 291, 630, 32, 7163, 32, 1945, 1404, 291, 630, 32, 862, 3670, 46876, 33458, 1324, 26, 16384, 32, 605, 1026, 2799, 30, 225, 40 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 5, 6, 6, 6, 6, 6, 5, 9, 9, 7, 7, 6, 6, 6, 9, 9, 7, 7, 10, 9, 10, 9, 11, 11, 11, 11, 6, 6, 9, 9, 7, 7, 10, 9, 10, 10, 10, 9, 10, 9, 6, 6, 9, 9, 9, 7, 7, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 5, 6, 6, 6, 6, 6, 5, 9, 9, 7, 7, 6, 6, 6, 9, 9, 7, 7, 10, 9, 10, 9, 10, 9, 6, 6, 9, 9, 7, 7, 6, 6, 6, 9, 9, 9, 7, 7, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 7, 8, 6, 6, 7, 8, 5, 5, 8, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 4, 4, 5, 4, 7, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 3, 4, 2, 1, 1, 3, 3, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 7, 2, 2, 3, 3, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 3, 5, 4, 3, 3, 7, 6, 6, 7, 7, 4, 4, 7, 6, 6, 7, 7, 4, 4, 6, 6, 7, 7, 4, 4, 6, 6, 8, 9, 8, 10, 9, 9, 10, 10, 8, 4, 4, 6, 6, 8, 9, 8, 12, 12, 12, 10, 13, 12, 13, 12, 13, 12, 9, 12, 12, 12, 10, 13, 12, 13, 12, 13, 12, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 7, 4, 4, 6, 6, 8, 9, 8, 12, 11, 12, 11, 12, 12, 11, 9, 10, 12, 11, 12, 10, 9, 9, 11, 12, 11, 13, 12, 12, 14, 15, 14, 9, 10, 12, 11, 12, 12, 10, 9, 9, 11, 12, 11, 12, 12, 11, 4, 4, 7, 6, 6, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 11, 9, 9, 10, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 10, 10, 9, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 8, 9, 7, 8, 7, 8, 7, 7, 8, 7, 7, 7, 4, 4, 8, 9, 7, 8, 6, 4, 4, 7, 8, 8, 8, 8, 8, 7, 10, 9, 10, 9, 7, 7, 7, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 3, 3, 1, 1, 0, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 7, 7, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 0, 8, 8, 1, 1, 1, 1, 1, 1, 8, 0, 0, 0, 1, 2, 2, 8, 8, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 2, 2, 3, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 7, 0, 2, 2, 2, 7, 1, 1, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 3, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 0, 2, 0, 2, 0, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 5 ]
[ 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 8527, 32, 1199, 1188, 6141, 203, 465, 2361, 203, 465, 4054, 954, 203, 1070, 4054, 954, 32, 2282, 1188, 1487, 81, 3779, 81, 314, 203, 1070, 298, 3455, 32, 7491, 32, 2282, 1188, 16445, 101, 619, 4942, 81, 15267, 101, 203, 1070, 298, 3455, 32, 7491, 32, 2282, 1188, 4549, 619, 4942, 81, 3378, 203, 1070, 638, 1188, 4549, 203, 589, 617, 16877, 81, 751, 26, 1357, 30, 3272, 30, 2830, 711, 284, 415, 3272, 44, 291, 1326, 32, 2342, 470, 32, 669, 26, 2067, 3667, 823, 29215, 426, 7642, 4985, 2830, 32, 3174, 30, 4985, 330, 1693, 370, 4985, 2361, 32, 16958, 26, 2067, 32, 1358, 5156, 203, 589, 617, 17872, 81, 371, 81, 271, 81, 1297, 26, 1357, 30, 1542, 30, 1115, 5321, 711, 284, 2830, 30, 3272, 280, 1542, 32, 5740, 32, 371, 81, 271, 81, 1297, 14605, 5321, 27, 284, 617, 16877, 81, 751, 26, 1357, 30, 3272, 30, 2830, 27, 284, 442, 2830, 30, 3272, 203, 589, 622, 81, 271, 81, 1297, 81, 7987, 733, 81, 3779, 26, 1357, 30, 3218, 81, 3779, 30, 3621, 711, 284, 27610, 81, 1439, 81, 2445, 30, 617, 280, 617, 17872, 81, 371, 81, 271, 81, 1297, 26, 291, 1326, 30, 4549, 32, 1761, 3409, 30, 291, 636, 47, 3831, 81, 3779, 32, 426, 30, 291, 4504, 47, 3831, 81, 3779, 32, 4021, 30, 291, 1503, 47, 3831, 81, 3779, 32, 1648, 32, 2998, 3949, 11968, 34, 614, 291, 3621, 81, 681, 47, 3831, 81, 3779, 32, 3779, 81, 681, 284, 829, 284, 27610, 81, 2445, 30, 617, 280, 617, 17872, 81, 371, 81, 271, 81, 1297, 26, 291, 1326, 30, 4549, 32, 3409, 30, 291, 636, 47, 3779, 32, 426, 30, 291, 4504, 47, 3779, 32, 4021, 32, 5729, 346, 284, 829, 284, 27610, 81, 2445, 81, 1648, 30, 617, 280, 617, 17872, 81, 371, 81, 271, 81, 1297, 26, 291, 1326, 30, 4549, 32, 3409, 2062, 30, 291, 4054, 47, 7987, 733, 81, 2445, 30, 291, 636, 47, 3779, 32, 426, 30, 291, 4504, 47, 3779, 32, 4021, 32, 5729, 1026, 291, 1503, 47, 3779, 32, 1648, 32, 2998, 3949, 11968, 34, 79, 284, 829, 284, 1596, 44, 291, 27610, 81, 3779, 30, 617, 280, 617, 17872, 81, 371, 81, 271, 81, 1297, 26, 324, 1326, 30, 4549, 32, 5813, 30, 324, 636, 47, 3779, 32, 426, 30, 324, 4504, 47, 3779, 32, 4021, 32, 5729, 1026, 324, 3621, 81, 681, 47, 3831, 81, 3779, 32, 3779, 81, 681, 30, 324, 1503, 47, 3779, 32, 1648, 30, 324, 1695, 81, 2445, 47, 7987, 733, 81, 1439, 81, 2445, 30, 324, 27610, 81, 1793, 47, 3831, 81, 3779, 30, 324, 4054, 81, 1648, 47, 7987, 733, 81, 2445, 81, 1648, 291, 829, 284, 2940, 40075, 44, 291, 3621, 81, 314, 280, 1487, 81, 3779, 81, 314, 26, 324, 3621, 32, 4021, 32, 5729, 1026, 324, 3621, 32, 1648, 30, 324, 3218, 81, 3779, 32, 3779, 81, 681, 32, 4021, 30, 324, 27610, 81, 1439, 81, 2445, 32, 4021, 30, 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, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 8, 9, 9, 7, 8, 7, 10, 9, 10, 10, 9, 9, 7, 7, 8, 9, 7, 7, 7, 9, 9, 7, 7, 9, 10, 9, 12, 11, 12, 11, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 4, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 7, 7, 7, 7, 6, 8, 6, 2, 2, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 6, 6, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 8, 6, 6, 6, 7, 9, 9, 9, 8, 9, 6, 6, 6, 7, 9, 9, 9, 8, 9, 6, 6, 6, 7, 12, 12, 12, 11, 12, 10, 11, 10, 12, 9, 8, 6, 6, 8, 8, 7, 9, 9, 9, 8, 9, 9, 9, 6, 6, 2, 2, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 6, 6, 6, 7, 9, 8, 9, 6, 6, 6, 7, 11, 10, 11, 9, 10, 9, 6, 6, 2, 2, 6, 6, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 8, 6, 6, 6, 7, 8, 8, 8, 8, 6, 6, 6, 7, 9, 8, 9, 6, 6, 6, 7, 11, 10, 11, 9, 10, 9, 6, 6, 7, 12, 11, 12, 10, 11, 10, 12, 9, 8, 6, 6, 2, 2, 3, 3, 3, 8, 8, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 8, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 13, 12, 13, 11, 12, 11, 8, 8, 10, 10, 9, 11, 11, 11, 10, 11, 11, 11, 8, 8, 8, 9, 11, 10, 11, 8, 8, 8, 10, 10, 9, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 10, 10, 10, 8, 8, 3, 3, 4, 4, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 12, 13, 11, 12, 11, 9, 9, 10, 11, 9, 9, 9, 12, 12, 11, 12, 12, 12, 10, 11, 9, 9, 9, 11, 11, 11, 11, 10, 11, 9, 9 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 3, 3, 2, 2, 2, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 3, 3, 2, 2, 0, 7, 7, 7, 7, 0, 8, 8, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 3, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 5, 0, 0, 0, 2, 2, 1, 1, 1, 7, 0, 0, 0, 2, 2, 1, 1, 1, 9, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 11, 0, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 5, 2, 2, 2, 2, 1, 1, 1, 7, 0, 2, 2, 1, 1, 1, 9, 0, 0, 2, 0, 2, 1, 1, 1, 11, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 4, 4, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 7, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 9, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 11, 0, 2, 2, 1, 1, 1, 0, 0, 13, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 15, 2, 2, 2, 1, 1, 1, 0, 0, 17, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 5, 2, 1, 1, 1, 0, 0, 0, 0, 7, 2, 1, 1 ]
[ 1070, 11385, 36492, 1188, 308, 284, 12450, 30, 13040, 30, 439, 30, 337, 97, 30, 19291, 30, 1288, 604, 30, 10365, 564, 30, 17058, 30, 41305, 30, 1245, 30, 284, 10214, 13941, 30, 516, 4832, 22386, 30, 8316, 30, 8342, 13941, 30, 358, 30, 11764, 81, 1298, 30, 1245, 13941, 30, 9812, 30, 284, 10712, 30, 546, 30, 7216, 13941, 30, 2910, 30, 5097, 88, 30, 5097, 3499, 30, 2910, 81, 34560, 30, 10926, 40864, 30, 1288, 2281, 30, 23277, 888, 332, 27, 203, 1070, 11385, 36492, 32, 1262, 32, 1126, 1188, 7098, 1284, 924, 203, 1070, 11385, 36492, 32, 16064, 32, 6386, 858, 1188, 308, 858, 81, 26875, 1353, 81, 10125, 1247, 619, 12077, 30, 8479, 3995, 81, 11476, 81, 2171, 619, 10477, 85, 557, 106, 30, 8479, 6144, 81, 10125, 1247, 619, 42244, 27, 203, 1070, 11385, 36492, 32, 16064, 32, 12408, 1188, 29657, 203, 106, 280, 12450, 463, 106, 683, 203, 107, 280, 12450, 463, 107, 683, 203, 96, 280, 12450, 463, 96, 370, 4991, 47, 1815, 27, 203, 105, 280, 12450, 463, 105, 370, 4011, 47, 1815, 27, 203, 589, 894, 81, 13941, 2262, 284, 1201, 13040, 26, 10095, 27, 610, 19291, 284, 1201, 13040, 26, 604, 27, 610, 337, 97, 284, 1201, 13040, 3736, 35, 34, 34, 27, 610, 1288, 604, 284, 1201, 13040, 26, 34, 27, 610, 1288, 604, 284, 1201, 13040, 26, 35, 27, 610, 225, 35, 284, 1201, 13040, 26, 36, 27, 610, 225, 35, 284, 1201, 13040, 26, 37, 27, 610, 225, 36, 284, 1201, 13040, 26, 35, 34, 36, 27, 610, 10365, 564, 26, 35, 34, 35, 27, 284, 1201, 13040, 26, 45178, 26, 35, 30, 225, 36, 490, 610, 17058, 26, 1295, 27, 284, 1201, 13040, 26, 45178, 26, 37, 30, 225, 36, 490, 610, 41305, 26, 35, 30, 225, 36, 4586, 8663, 26, 1295, 27, 284, 1201, 13040, 26, 45178, 26, 39, 30, 225, 36, 490, 610, 41305, 26, 37, 30, 225, 38, 4586, 8663, 26, 1295, 27, 284, 1201, 13040, 26, 45178, 26, 41, 30, 225, 36, 490, 610, 41305, 26, 35, 39, 30, 225, 42, 4586, 8663, 26, 1295, 27, 284, 1201, 13040, 26, 45178, 3736, 35, 30, 225, 36, 490, 610, 429, 36, 28, 8663, 26, 1295, 27, 284, 1201, 13040, 26, 45178, 3736, 37, 30, 225, 36, 490, 610, 41305, 26, 38, 30, 225, 37, 4586, 8663, 26, 1295, 27, 284, 1201, 13040, 26, 45178, 3736, 39, 30, 225, 36, 490, 610, 429, 45178, 26, 42, 30, 225, 35, 39, 4586, 8663, 26, 1295, 27, 284, 1201, 13040, 26, 45178, 3736, 35, 39, 30, 225, 36, 490, 610, 41305, 26, 36, 39, 40, 30, 225, 36, 34, 36, 41, 34, 36, 39, 4586, 8663, 26, 1295, 27, 284, 1201, 13040, 26, 45178, 26, 291, 429, 35, 35, 30, 225, 42, 3427, 8931, 26, 1298, 47, 1815, 27, 610, 41305, 26, 40, 38, 30, 225, 37, 37, 4586, 13941, 26, 45178, 26, 39, 30, 225, 42, 490, 284, 1201, 13040, 26, 45178, 26, 291, 429, 35, 34, 30, 225, 37, 3427, 8931, 26, 1298, 47, 1815, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 4, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 4, 4, 4, 4, 2, 2, 3, 3, 3, 1, 1, 1, 4, 4, 4, 2, 2, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 6, 6, 0, 3, 2, 2, 4, 6, 6, 0, 3, 2, 2, 4, 6, 6, 4, 5, 6, 4, 0, 3, 2, 2, 4, 6, 6, 4, 5, 6, 4, 0, 1, 1, 2, 2, 2, 1, 1, 3, 6, 7, 6, 4, 4, 2, 2, 3, 6, 7, 6, 4, 4, 5, 2, 2, 3, 6, 8, 8, 8, 6, 4, 4, 5, 2, 2, 3, 6, 7, 6, 4, 4, 5, 2, 2, 3, 6, 7, 6, 4, 4, 5, 2, 2, 3, 6, 7, 6, 4, 4, 5, 2, 2, 3, 6, 7, 6, 4, 4, 5, 2, 2, 3, 6, 7, 7, 7, 6, 4, 4, 6, 6, 7, 7, 7, 6, 2, 2, 3, 6, 8, 8, 9, 8, 8, 9, 8, 4, 4, 6, 7, 6, 2, 2, 3, 6, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 7, 8, 7, 7, 7, 8, 7, 2, 2, 3, 6, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 7, 7, 8, 7, 7, 7, 8, 7, 2, 2, 3, 6, 8, 8, 9, 8, 8, 9, 8, 4, 4, 7, 8, 8, 7, 7, 8, 7, 7, 7, 8, 7, 2, 2, 3, 6, 8, 8, 10, 8, 8, 9, 8, 4, 4, 7, 5, 7, 7, 8, 7, 2, 2, 3, 6, 8, 8, 10, 8, 8, 9, 8, 4, 4, 7, 8, 7, 7, 8, 7, 7, 7, 8, 7, 2, 2, 3, 6, 8, 8, 10, 8, 8, 9, 8, 4, 4, 8, 8, 9, 8, 8, 9, 9, 8, 7, 7, 8, 7, 2, 2, 3, 6, 8, 8, 10, 10, 8, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 7, 2, 2, 3, 8, 10, 10, 10, 10, 12, 12, 10, 10, 11, 10, 7, 6, 8, 7, 8, 6, 4, 4, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 9, 9, 10, 9, 9, 10, 9, 2, 2, 3, 8, 10, 10, 10, 10, 12, 12, 10, 10, 11, 10, 7, 6, 8, 7, 8, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, 0, 0, 0, 0, 6, 6, 2, 2, 2, 2, 2, 2, 0, 0, 0, 8, 8, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 0, 8, 8, 1, 1, 2, 8, 8, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 8, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 4, 4, 9, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 0, 1, 1, 1, 4, 4, 10, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 0, 1, 1, 1, 4, 4, 11, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 0, 1, 1, 1, 4, 4, 12, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 0, 1, 1, 1, 4, 4, 13, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 0, 1, 1, 1, 4, 4, 14, 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 1, 4, 4, 15, 1, 0, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 1, 4, 4, 16, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 17, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 0, 1, 2, 1 ]
[ 1070, 638, 1188, 13317, 203, 1070, 638, 1188, 6440, 203, 823, 10338, 81, 102, 26, 24050, 32, 24050, 81, 102, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 26409, 827, 47, 2521, 711, 291, 13317, 32, 24050, 81, 102, 3667, 1664, 3207, 784, 30, 636, 27, 291, 630, 1114, 681, 280, 827, 284, 665, 617, 371, 505, 4923, 505, 3028, 26, 784, 711, 291, 442, 428, 784, 32, 681, 79, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 646, 13317, 32, 24050, 81, 102, 3667, 3685, 3207, 784, 30, 1604, 711, 324, 442, 3177, 291, 442, 630, 32, 681, 610, 1604, 32, 681, 284, 665, 1156, 2888, 3207, 784, 711, 291, 442, 2599, 3667, 2888, 3207, 784, 27, 284, 477, 2433, 284, 665, 827, 26, 784, 711, 291, 442, 630, 1114, 681, 284, 477, 681, 32, 16527, 284, 665, 827, 26, 784, 30, 827, 711, 291, 630, 1114, 681, 280, 827, 284, 665, 595, 81, 4418, 81, 267, 81, 41835, 26, 784, 30, 18581, 47, 1815, 711, 291, 442, 428, 10950, 32, 9277, 81, 1338, 81, 102, 26, 784, 30, 630, 32, 681, 2177, 284, 477, 2433, 284, 665, 3432, 81, 891, 26, 784, 711, 291, 313, 1250, 432, 458, 827, 328, 3519, 477, 681, 44, 629, 20, 291, 442, 630, 1114, 681, 32, 2263, 81, 891, 284, 477, 2433, 284, 665, 3432, 81, 2934, 26, 784, 711, 291, 313, 18842, 432, 458, 827, 328, 3519, 477, 681, 44, 629, 20, 291, 442, 630, 1114, 681, 32, 2263, 81, 2934, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 5, 6, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 8, 8, 5, 5, 7, 4, 4, 5, 7, 8, 6, 6, 7, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 6, 5, 6, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 8, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 9, 7, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 8, 9, 7, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 2, 5, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 4, 4, 1, 0, 2, 1, 1, 2, 2, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 1, 1, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 0, 1, 2, 5, 5, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 6, 6, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 7, 7, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 2, 2, 2, 4, 4, 1, 8, 8, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 465, 5167, 203, 465, 2361, 203, 1070, 526, 5231, 32, 5558, 1188, 4261, 5231, 4152, 203, 1070, 526, 5231, 1188, 7890, 203, 1070, 526, 5231, 1188, 3082, 1262, 203, 1070, 526, 5231, 1188, 1359, 203, 1070, 25679, 1188, 25679, 203, 1070, 526, 5231, 32, 1199, 1262, 1188, 3738, 203, 751, 280, 5741, 32, 10579, 463, 864, 5231, 683, 203, 1237, 81, 965, 280, 330, 525, 555, 3604, 32, 14004, 3945, 27642, 2882, 1180, 32, 508, 33, 36, 32, 34, 8172, 1959, 47, 4390, 32, 41180, 24, 1232, 314, 6132, 101, 24, 1237, 81, 678, 6132, 101, 24, 1643, 47, 1260, 25, 203, 1237, 81, 965, 36, 280, 330, 525, 555, 3604, 32, 14004, 3945, 27642, 2882, 1180, 32, 508, 33, 36, 32, 34, 8172, 1959, 47, 4390, 32, 41180, 24, 12278, 6132, 101, 24, 4390, 6132, 101, 24, 1237, 81, 678, 6132, 101, 24, 1643, 47, 1260, 25, 203, 823, 11313, 4196, 4152, 26, 1467, 5231, 4152, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 3267, 4196, 4152, 30, 630, 14585, 1664, 16369, 291, 1359, 710, 2135, 12362, 5695, 669, 1371, 324, 330, 496, 950, 262, 2550, 324, 330, 1237, 81, 678, 950, 225, 2550, 291, 1790, 291, 630, 32, 1094, 81, 2516, 280, 301, 324, 330, 2135, 12362, 81, 1066, 998, 950, 225, 3738, 32, 13773, 30, 324, 330, 2135, 12362, 81, 21299, 950, 225, 3738, 32, 13773, 30, 291, 320, 284, 665, 6350, 26, 784, 711, 291, 4774, 280, 7890, 32, 1721, 2501, 463, 465, 1066, 998, 370, 400, 3049, 1057, 465, 3649, 2401, 32, 12362, 4654, 31, 998, 683, 291, 665, 3420, 26, 1356, 30, 6410, 30, 2181, 711, 324, 1188, 81, 2135, 12362, 26, 784, 30, 1356, 30, 1132, 27, 291, 4774, 32, 1298, 280, 3420, 291, 442, 428, 3515, 79, 203, 589, 1188, 81, 2135, 12362, 26, 784, 30, 5034, 30, 2181, 711, 284, 4125, 81, 678, 280, 1359, 710, 2135, 12362, 4902, 1237, 81, 678, 785, 284, 415, 646, 4125, 81, 678, 44, 291, 3636, 7890, 32, 1240, 924, 463, 4282, 2298, 6377, 600, 4125, 81, 678, 436, 1188, 1066, 998, 683, 284, 1245, 32, 1338, 463, 32902, 2401, 32, 12362, 4654, 2385, 683, 284, 436, 21619, 328, 5034, 32, 42291, 2262, 203, 202, 979, 4562, 328, 21619, 32, 3028, 2262, 324, 2385, 280, 629, 26, 4390, 32, 371, 463, 2135, 12362, 81, 1066, 998, 370, 225, 34, 490, 291, 20096, 18383, 280, 629, 26, 4390, 32, 371, 463, 2135, 12362, 81, 21299, 370, 225, 34, 490, 3269, 415, 2385, 610, 225, 34, 44, 357, 202, 1270, 44, 355, 202, 1637, 280, 5630, 81, 4390, 26, 4390, 32, 1232, 81, 4390, 314, 30, 4125, 81, 678, 27, 355, 202, 325, 313, 4390, 20, 646, 328, 1938, 44, 603, 202, 751, 32, 731, 26, 103, 25, 1206, 2431, 810, 6785, 314, 30, 1596, 3233, 810, 636, 683, 603, 202, 1637, 280, 5630, 81, 4390, 36, 26, 4390, 32, 12278, 30, 4562, 32, 1311, 30, 4125, 81, 678, 27, 355, 202, 325, 313, 4390, 20, 328, 1938, 44, 294, 13210, 415, 313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 8, 10, 10, 10, 8, 7, 8, 8, 11, 11, 9, 9, 8, 8, 11, 11, 11, 11, 9, 9, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 7, 7, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 10, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 5, 5, 9, 9, 9, 9, 10, 9, 10, 9, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 5, 7, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 8, 8, 8, 7, 7, 7, 7, 2, 2, 3, 4, 5, 5, 3, 3, 3, 5, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 5, 5, 5, 5, 7, 8, 7, 5, 5, 8, 8, 10, 13, 12, 13, 12, 14, 14, 14, 14, 14, 14, 12, 13, 12, 6, 6, 6, 8, 8, 10, 13, 12, 13, 12, 14, 14, 14, 14, 14, 12, 13, 12, 6, 6, 7, 8, 8, 9, 7, 7, 7, 9, 9, 9, 9, 13, 12, 12, 14, 14, 14, 16, 15, 16, 16, 16, 16, 14, 14, 15, 15, 14, 10, 10, 11, 11, 14, 14, 12, 12, 12, 11, 11, 11, 16, 15, 16, 15, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 12, 12, 15, 14, 14, 16, 16, 16, 16, 18, 17, 18, 16, 16, 17, 18, 16, 16, 17, 17, 16, 10, 10, 11, 11, 14, 14, 12, 12, 11, 11, 11, 11, 13 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 0, 1, 2, 2, 8, 8, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12, 12, 1, 1, 2, 1, 1, 1, 2, 12, 12, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 3, 1, 5, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 0, 13, 13, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 13, 13, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 5, 5, 5, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 3, 1, 5, 5, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 3, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 5, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0 ]
[ 1070, 345, 17537, 32, 2387, 1188, 10838, 203, 465, 15798, 203, 1070, 4527, 1188, 1056, 81, 4446, 30, 21096, 81, 1267, 203, 823, 8287, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 6390, 26, 784, 711, 291, 273, 280, 10838, 27265, 291, 2283, 106, 523, 1672, 2029, 111, 203, 41135, 291, 1201, 21096, 81, 1267, 26, 102, 32, 3169, 26, 106, 347, 578, 438, 816, 392, 1672, 2029, 47, 5962, 273, 44, 313, 11838, 13387, 396, 23, 101, 20366, 11838, 13387, 20, 904, 273, 490, 610, 313, 11838, 13387, 396, 578, 438, 816, 20366, 11838, 13387, 20, 284, 665, 894, 81, 3385, 26, 784, 711, 291, 273, 280, 10838, 27265, 291, 2283, 106, 523, 1672, 2029, 26, 107, 4370, 203, 41135, 291, 665, 1672, 2029, 26, 107, 711, 324, 442, 9254, 816, 44, 313, 11838, 13387, 396, 23, 101, 46, 9299, 101, 20, 904, 308, 106, 30, 533, 27, 291, 1201, 21096, 81, 1267, 26, 102, 32, 3169, 26, 106, 347, 578, 438, 816, 392, 1672, 2029, 47, 1772, 2029, 30, 533, 347, 578, 438, 533, 2131, 610, 313, 11838, 13387, 396, 578, 438, 816, 20366, 578, 438, 533, 20, 284, 665, 894, 81, 5954, 81, 466, 26, 784, 711, 291, 273, 280, 10838, 27265, 324, 2283, 106, 523, 11760, 111, 291, 3330, 657, 291, 1201, 21096, 81, 1267, 26, 102, 32, 3169, 26, 106, 47, 39, 490, 610, 313, 39, 20, 284, 665, 894, 81, 589, 26, 784, 711, 291, 273, 280, 10838, 27265, 324, 15978, 589, 636, 347, 3986, 19284, 2761, 347, 1772, 2029, 413, 400, 458, 438, 9214, 324, 576, 23, 589, 48, 324, 2283, 3986, 9741, 203, 41135, 291, 1201, 21096, 81, 1267, 26, 102, 32, 3169, 26, 106, 347, 578, 438, 816, 392, 1672, 2029, 47, 5962, 273, 44, 313, 11838, 13387, 396, 23, 101, 20366, 11838, 13387, 20, 904, 273, 490, 610, 313, 11838, 13387, 396, 458, 438, 9214, 4821, 11838, 13387, 20, 284, 665, 894, 81, 465, 26, 784, 711, 291, 273, 280, 10838, 27265, 291, 15978, 19, 324, 645, 345, 17537, 1188, 10582, 291, 904, 5213, 291, 11760, 458, 802, 44, 2283, 20, 225, 1629, 802, 372, 11760, 261, 313, 523, 10582, 32, 5464, 111, 4036, 78, 291, 3330, 657, 291, 1201, 273, 32, 3169, 922, 7201, 346, 11490, 5464, 458, 802, 44, 1629, 802, 372, 11760, 4036, 20, 284, 665, 894, 81, 465, 81, 36, 26, 784, 711, 291, 273, 280, 10838, 27265, 291, 11760, 458, 802, 44, 2283, 20, 225, 1629, 802, 372, 11760, 261, 313, 523, 10582, 32, 5464, 111, 4036, 78, 291, 3330, 392, 14422, 18278, 1070, 345, 17537, 1188, 10582, 6890, 291, 1201, 273, 32, 3169, 922, 7201, 346, 11490, 5464, 458, 802, 44, 1629, 802, 372, 11760, 4036, 20, 284, 665, 894, 81, 4434, 81, 2029, 26, 784, 711, 291, 273, 280, 10838, 27265, 21, 10613, 44, 6459, 31, 42, 324, 1629, 10591, 2261, 2283, 106, 111, 291, 3330, 392, 1244, 81, 9211, 11414, 5460, 32, 3310, 42, 3490, 291, 1201, 273, 32, 3169, 81, 9941, 26, 106, 347, 2086, 782, 345, 2735, 83, 12677, 587 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 8, 8, 11, 10, 11, 10, 12, 11, 13, 13, 13, 13, 10, 12, 11, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 10, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 6, 6, 7, 6, 5, 5, 7, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 10, 10, 4, 4, 5, 8, 8, 8, 11, 10, 11, 10, 12, 11, 13, 13, 13, 13, 10, 12, 11, 12, 12, 10, 10, 11, 13, 13, 13, 13, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 8, 8, 11, 10, 11, 10, 12, 11, 12, 10, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 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, 4, 4, 5, 8, 8, 8, 11, 10, 11, 10, 12, 11, 13, 13, 13, 13, 10, 12, 11, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 10, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 10, 4, 4, 5, 10, 11, 10, 9, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 10, 10, 8, 9, 12, 12, 12, 12, 12, 12, 4, 4, 5, 10, 11, 10, 9, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 9, 12, 12, 12, 12, 12, 4, 4, 5, 10, 11, 11, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 2, 2, 4, 4, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 3, 2, 2, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 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, 2, 4, 4, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 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, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 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, 3, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 505, 2116, 505, 280, 330, 72, 36627, 546, 991, 83, 25, 203, 505, 770, 505, 280, 330, 22749, 675, 225, 36, 34, 35, 36, 25, 203, 505, 11794, 505, 280, 15584, 53, 27, 225, 36, 34, 35, 36, 30, 676, 36627, 546, 991, 83, 25, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 30609, 1188, 42656, 30, 3619, 12561, 10760, 203, 823, 22403, 5472, 26, 67, 959, 711, 284, 1056, 11029, 280, 3619, 12561, 10760, 346, 284, 3276, 280, 1605, 284, 665, 1015, 1394, 26, 784, 30, 4269, 30, 636, 30, 6341, 30, 1056, 711, 291, 630, 32, 4295, 32, 1689, 26, 1394, 26, 1566, 30, 636, 30, 6341, 30, 1056, 490, 291, 630, 32, 1267, 11029, 32, 7911, 346, 284, 665, 622, 5472, 26, 784, 711, 291, 442, 630, 32, 4295, 203, 823, 4703, 44, 284, 665, 1156, 1664, 3207, 784, 30, 4269, 30, 636, 30, 6341, 30, 4870, 711, 291, 630, 32, 1566, 280, 4269, 291, 630, 32, 426, 280, 636, 291, 630, 32, 5561, 280, 6341, 291, 630, 32, 3607, 280, 4870, 203, 4295, 720, 280, 22403, 5472, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 2, 2, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 3, 3, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 0, 1, 2, 2, 1, 4, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 1, 2, 0, 5, 5, 5, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1133, 1188, 1133, 203, 1070, 27847, 348, 32, 3337, 1188, 4575, 30, 13199, 203, 1070, 8206, 13835, 32, 31423, 1188, 298, 2219, 203, 823, 27062, 44, 284, 1769, 34129, 280, 1665, 284, 7692, 280, 1665, 284, 617, 612, 998, 280, 225, 34, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 9001, 47, 2521, 711, 291, 630, 32, 1286, 280, 225, 34, 291, 630, 32, 2544, 9001, 280, 2935, 9001, 291, 630, 32, 2135, 54, 4461, 280, 1133, 346, 284, 665, 1015, 26, 784, 30, 5168, 711, 291, 630, 32, 86, 4461, 346, 291, 415, 630, 32, 1449, 34129, 438, 1665, 44, 324, 2608, 444, 280, 5168, 291, 813, 44, 324, 2608, 444, 280, 1847, 26, 5545, 30, 630, 32, 1449, 34129, 429, 630, 32, 1286, 27, 291, 415, 630, 32, 2544, 9001, 438, 646, 1665, 44, 324, 2608, 444, 280, 630, 32, 2544, 9001, 32, 669, 26, 4568, 444, 27, 291, 630, 32, 1286, 1454, 2608, 444, 291, 442, 2608, 444, 284, 665, 343, 4461, 26, 784, 711, 291, 415, 630, 32, 2544, 9001, 438, 646, 1665, 44, 324, 630, 32, 2544, 9001, 32, 86, 4461, 346, 291, 415, 630, 32, 3306, 438, 1665, 44, 324, 630, 32, 1286, 280, 225, 34, 291, 813, 44, 324, 2464, 280, 1133, 346, 324, 7715, 1043, 280, 2464, 429, 630, 32, 2135, 54, 4461, 324, 7715, 10911, 280, 7715, 1043, 319, 630, 32, 3306, 324, 630, 32, 1286, 280, 1769, 26, 34, 30, 630, 32, 1286, 429, 7715, 10911, 27, 324, 630, 32, 2135, 54, 4461, 280, 2464, 291, 442, 630, 32, 1286, 610, 225, 34, 203, 823, 439, 9001, 2348, 26, 3041, 711, 284, 665, 622, 9001, 1562, 2740, 20282, 101, 30, 1115, 6060, 81, 4124, 711, 203, 823, 677, 21383, 9001, 2348, 44, 284, 4575, 26, 59, 9001, 2348, 27, 284, 8105, 2214, 280, 27062, 284, 37019, 5757, 280, 1665, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 2348, 47, 2521, 711, 291, 630, 32, 24616, 280, 2149, 291, 630, 32, 2544, 2348, 280, 2935, 2348, 291, 630, 32, 2135, 47465, 280, 1133, 346, 284, 665, 622, 9001, 1562, 26, 784, 30, 319, 83, 30, 1115, 4124, 711, 291, 415, 1833, 784, 32, 33167, 5757, 438, 646, 1665, 27, 324, 461, 1833, 1003, 346, 429, 630, 32, 2135, 47465, 27, 848, 630, 32, 33167, 5757, 8531, 324, 630, 32, 33167, 346, 291, 415, 630, 32, 2544, 2348, 44, 324, 2935, 9001, 280, 630, 32, 2544, 2348, 32, 371, 9001, 1562, 26, 784, 30, 319, 83, 30, 1115, 4124, 27, 291, 813, 44, 324, 2935, 9001, 280, 1665, 291, 1202, 280, 630, 32, 371, 9001, 953, 2740, 83, 30, 1115, 4124, 27, 291, 8105, 280, 630, 32, 24616, 32, 371, 26, 678, 27, 291, 415, 8105, 438, 1665, 44, 324, 8105, 280, 630, 32, 6452, 2214, 26, 2544, 9001, 27, 324, 630, 32, 24616, 77, 678, 79, 280, 8105, 291, 442, 8105, 284, 665, 622, 9001, 953, 26, 784, 30, 319, 83, 30, 1115, 4124, 711, 291, 442, 1665, 284, 665, 37019, 26, 784, 711, 291, 436, 1202, 30, 8105, 328, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 5, 4, 4, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 7, 4, 4, 5, 7, 8, 8, 6, 6, 5, 5, 5, 9, 8, 8, 5, 5, 6, 6, 6, 10, 9, 9, 11, 12, 11, 11, 13, 14, 14, 12, 12, 13, 14, 11, 4, 4, 5, 7, 8, 8, 6, 6, 6, 5, 5, 5, 9, 8, 8, 11, 12, 12, 10, 11, 10, 11, 11, 10, 4, 4, 7, 8, 6, 6, 7, 4, 4, 5, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 6, 6, 6, 5, 5, 5, 10, 11, 11, 9, 10, 10, 9, 4, 4, 5, 7, 8, 6, 6, 5, 5, 5, 9, 10, 8, 8, 9, 5, 5, 6, 6, 6, 9, 9, 11, 7, 7, 10, 9, 9, 10, 10, 11, 12, 12, 12, 7, 7, 10, 9, 9, 11, 10, 10, 11, 12, 7, 7, 10, 11, 9, 9, 11, 12, 11, 11, 13, 14, 12, 12, 13, 11, 7, 7, 10, 11, 11, 11, 9, 9, 4, 4, 5, 7, 8, 6, 6, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 6, 6, 4, 4, 6, 6, 6, 4, 0, 1, 1, 2, 2, 2, 1, 1, 1, 5, 6, 6, 6, 5, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 11, 10, 11, 11, 9, 9, 9, 8, 7, 7, 7, 13, 13, 11, 11, 12, 13, 13, 10, 9, 9, 10, 11, 11, 8, 5, 5, 9, 10, 9, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 8, 8, 11, 12, 12, 10, 11, 11, 11, 10, 11, 10, 10, 12, 10, 10, 12, 10, 5, 5, 6, 6, 6, 10, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 8, 8, 10, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 11, 10, 6, 6, 10, 11, 9, 10, 9, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 6, 5, 5, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 2, 3, 3, 3, 1, 1, 1, 2, 2, 0, 3, 2, 2, 3, 3, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 3, 3, 4, 2, 1, 2, 2, 2, 4, 4, 0, 2, 2, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 3, 3, 2, 2, 1, 4, 4, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 4, 1, 3, 3, 5, 1, 2, 1, 2, 5, 5, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 4, 4, 4, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 3, 3, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 2, 0, 2, 1, 1, 2, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 3, 1, 1, 1, 2, 2, 0, 3, 2, 2, 3, 3, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 1, 3, 3, 4, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 3, 0, 2, 0, 2, 0, 0, 0, 4, 4, 5, 3, 3, 5, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 5, 5, 0, 3, 3, 6, 2, 1, 2, 6, 6, 0, 1, 1, 0, 0, 0 ]
[ 9592, 203, 74, 839, 94, 23415, 2526, 1996, 32, 978, 4575, 600, 3398, 3500, 2568, 436, 399, 2808, 274, 30, 4122, 203, 267, 312, 26322, 4011, 1649, 432, 322, 7400, 3678, 447, 10394, 225, 36, 32, 34, 5396, 32, 225, 1348, 438, 312, 21252, 225, 203, 15350, 432, 1593, 52, 2785, 2471, 32, 225, 203, 2272, 2297, 1631, 4131, 7029, 372, 312, 3398, 4226, 308, 70, 7644, 27, 556, 372, 5489, 372, 312, 803, 432, 3398, 32, 203, 2272, 2297, 7367, 322, 6063, 1619, 436, 17093, 312, 343, 1421, 461, 6942, 328, 225, 203, 23734, 2785, 3398, 3996, 32, 225, 2030, 1631, 526, 3892, 810, 399, 2808, 274, 1182, 34786, 6985, 30, 556, 810, 10090, 203, 6271, 69, 461, 6942, 13197, 810, 18978, 556, 2016, 1628, 33, 1840, 2719, 2926, 32, 203, 5297, 7496, 556, 2016, 1628, 3377, 436, 4212, 44, 284, 3408, 44, 225, 322, 21134, 3408, 436, 3398, 4226, 556, 313, 1260, 974, 20, 372, 5489, 372, 312, 3398, 803, 284, 2601, 44, 225, 322, 3408, 2601, 308, 42, 34, 438, 1244, 27, 415, 312, 3398, 4226, 284, 1256, 30, 3882, 44, 225, 415, 5349, 436, 2145, 284, 3500, 44, 225, 322, 2663, 3193, 1519, 8430, 436, 322, 3398, 4226, 556, 9519, 803, 1519, 415, 2361, 974, 284, 5868, 44, 225, 203, 26, 85, 27, 2640, 225, 36, 34, 35, 37, 7778, 676, 18919, 31020, 30, 34296, 15449, 30, 3367, 4751, 5215, 32, 261, 203, 4494, 676, 5539, 16642, 372, 458, 2932, 30, 1510, 438, 14393, 9267, 372, 322, 5955, 432, 399, 2808, 274, 26, 100, 547, 203, 452, 745, 44, 203, 35, 27, 1015, 399, 3895, 56, 22349, 17810, 308, 18979, 27, 284, 677, 56, 429, 2800, 1330, 13710, 458, 438, 3154, 5246, 38294, 556, 1401, 312, 793, 1135, 328, 312, 3996, 1542, 203, 36, 27, 1505, 31283, 432, 308, 4190, 27, 12827, 461, 14549, 4702, 2670, 7165, 203, 37, 27, 8825, 5193, 13317, 308, 26648, 328, 4702, 432, 706, 9473, 10228, 203, 38, 27, 8825, 5193, 308, 2386, 44052, 27, 203, 39, 27, 1015, 22788, 5766, 6086, 372, 25041, 308, 363, 894, 623, 11922, 30953, 22788, 5766, 10647, 27, 203, 40, 27, 894, 1629, 8626, 2052, 623, 1344, 9058, 308, 615, 1092, 3026, 10228, 225, 308, 37, 34, 47500, 429, 225, 39, 34, 47500, 47427, 1344, 9058, 10228, 203, 41, 27, 1015, 22718, 372, 30, 556, 1346, 5816, 25041, 30, 432, 7687, 16970, 1182, 29447, 1542, 203, 9592, 203, 465, 2322, 30, 3363, 30, 1133, 30, 2361, 30, 6234, 30, 5741, 30, 36252, 30, 7138, 203, 1070, 884, 40195, 32, 1243, 54, 1421, 959, 1188, 3678, 15468, 30, 3678, 2291, 30, 3678, 13175, 203, 1070, 884, 40195, 32, 1243, 1810, 959, 1188, 3678, 7331, 203, 1070, 884, 40195, 32, 1243, 3092, 1188, 2768, 203, 1070, 884, 40195, 1188, 1593, 839, 94, 2775, 30, 12491, 1733, 30, 15807, 1733, 203, 465, 22045, 32, 1357, 203, 1070, 22045, 32, 731, 1188, 4808, 924, 30, 28024, 43189, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 10245, 1188, 23501, 203, 465, 7138, 203, 13187, 3265, 3539, 280, 1665, 203, 3265, 3539 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 0, 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, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 2, 3, 3, 0, 0, 4, 4, 0, 1, 2, 2, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 1, 2, 0, 7, 7, 1, 2, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 465, 3089, 749, 98, 203, 1070, 3089, 749, 98, 1188, 3706, 15762, 30, 8684, 30, 6929, 265, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 11087, 81, 575, 81, 15699, 26, 500, 104, 32, 500, 104, 711, 284, 617, 426, 1057, 575, 32, 15699, 25, 284, 617, 6815, 1057, 575, 32, 15699, 25, 284, 665, 2866, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 20200, 30, 1619, 47, 2521, 711, 291, 354, 81, 426, 280, 1665, 291, 354, 81, 22597, 280, 1665, 291, 415, 20200, 32, 371, 463, 426, 7831, 324, 354, 81, 426, 280, 20200, 710, 426, 5695, 7201, 346, 324, 20200, 710, 426, 785, 280, 354, 81, 426, 32, 7607, 346, 291, 415, 20200, 32, 371, 463, 22597, 7831, 324, 354, 81, 22597, 280, 20200, 710, 22597, 5695, 7201, 346, 324, 20200, 710, 22597, 785, 280, 354, 81, 22597, 32, 1311, 346, 291, 1056, 280, 2599, 26, 6815, 81, 575, 81, 15699, 30, 784, 547, 1821, 26, 2446, 30, 12373, 30, 9668, 30, 20200, 30, 1619, 47, 1819, 27, 291, 442, 1056, 284, 665, 1487, 26, 784, 30, 5564, 30, 12373, 30, 20200, 30, 1619, 47, 2521, 711, 291, 354, 81, 426, 280, 1665, 291, 354, 81, 22597, 280, 1665, 291, 415, 20200, 32, 371, 463, 426, 7831, 324, 354, 81, 426, 280, 20200, 710, 426, 5695, 7201, 346, 324, 20200, 710, 426, 785, 280, 354, 81, 426, 32, 7607, 346, 291, 415, 20200, 32, 371, 463, 22597, 7831, 324, 354, 81, 22597, 280, 20200, 710, 22597, 5695, 7201, 346, 324, 20200, 710, 22597, 785, 280, 354, 81, 22597, 32, 1311, 346, 291, 1056, 280, 2599, 26, 6815, 81, 575, 81, 15699, 30, 784, 547, 1297, 26, 2446, 30, 12373, 30, 20200, 30, 1619, 47, 1819, 27, 291, 442, 1056, 284, 617, 6057, 280, 301, 291, 330, 22597, 25, 499, 3829, 32, 1594, 463, 3472, 426, 370, 1334, 47, 35, 36, 42, 471, 291, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 6, 6, 6, 6, 2, 2, 5, 4, 6, 6, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 7, 8, 7, 9, 9, 5, 5, 9, 9, 8, 8, 11, 13, 13, 11, 10, 6, 6, 9, 11, 11, 8, 8, 11, 11, 10, 11, 10, 4, 4, 5, 7, 8, 7, 9, 9, 5, 5, 9, 9, 8, 8, 11, 13, 13, 11, 10, 6, 6, 9, 11, 11, 8, 8, 11, 11, 10, 11, 10, 4, 4, 6, 6, 10, 11, 11, 11, 11, 11, 10, 11, 10, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 8, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 7, 8, 7, 9, 9, 5, 5, 9, 9, 8, 8, 11, 13, 13, 11, 10, 6, 6, 9, 11, 11, 8, 8, 11, 11, 10, 11, 10, 4, 4, 5, 7, 8, 7, 9, 9, 5, 5, 9, 9, 8, 8, 11, 13, 13, 11, 10, 6, 6, 9, 11, 11, 8, 8, 11, 11, 10, 11, 10, 4, 4, 6, 6, 10, 11, 11, 11, 11, 11, 10, 11, 10, 9, 8, 9, 8, 8, 8, 8, 8, 8, 9, 10, 8, 4, 4, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 6, 8, 9, 8, 10, 10, 10, 8, 9, 10, 10, 10, 8, 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 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 2, 3, 3, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 6, 6, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 3, 3, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 3, 0, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 2, 2, 1, 3, 3, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 1, 4, 4, 5, 4, 4, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 3, 3, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 3, 0, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 2, 2, 1, 3, 3, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 5, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 3, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 29252, 331, 2323, 36, 203, 1070, 343, 774, 1356, 32, 86, 774, 81, 11452, 1188, 4581, 2333, 924, 203, 1070, 343, 774, 1356, 32, 1163, 1188, 3383, 203, 589, 745, 81, 1877, 26, 784, 711, 284, 1459, 1156, 1427, 505, 284, 1596, 44, 291, 281, 10795, 280, 3383, 346, 291, 281, 280, 630, 32, 1199, 32, 7017, 346, 291, 281, 32, 4526, 440, 10486, 4925, 3404, 8897, 22041, 25877, 13404, 1178, 657, 291, 281, 32, 4526, 440, 8758, 1359, 5798, 786, 280, 330, 41, 40, 25, 4998, 636, 280, 330, 1199, 81, 13411, 32147, 291, 630, 32, 1199, 32, 3375, 346, 284, 2940, 29252, 331, 2323, 36, 32, 23560, 924, 619, 3124, 44, 291, 630, 32, 1199, 32, 24654, 346, 291, 3636, 4581, 2333, 924, 463, 12014, 372, 4871, 309, 1226, 1974, 225, 41, 40, 30, 34524, 29160, 32, 3081, 1474, 44, 301, 34, 16805, 1643, 26, 2076, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 2, 2, 3, 3, 3, 7, 6, 6, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 9, 7, 8, 7, 3, 3, 4, 7, 7, 7, 6, 7, 7, 5, 5, 4, 4, 4, 9, 10, 8, 9, 8, 5, 5, 6, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 3, 0, 0, 0, 0, 2, 2, 1, 1, 3, 3, 3, 0, 2, 0, 2, 1, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3996, 107, 1188, 1628, 81, 5836, 203, 1070, 3996, 107, 1188, 5697, 81, 5836, 203, 1070, 3996, 107, 1188, 32208, 81, 5836, 203, 1070, 3996, 107, 32, 11514, 32, 2175, 81, 5836, 81, 1237, 1188, 931, 27123, 203, 589, 617, 936, 6317, 2214, 26, 5836, 81, 823, 30, 2503, 81, 823, 711, 334, 665, 29343, 2740, 1132, 30, 1115, 5321, 711, 284, 7565, 280, 7565, 81, 823, 2740, 1132, 30, 1115, 5321, 27, 284, 7565, 32, 2751, 280, 2503, 81, 823, 26, 5836, 27, 284, 442, 7565, 334, 442, 29343, 203, 1811, 6317, 280, 617, 936, 6317, 2214, 26, 928, 81, 5836, 32, 1811, 6317, 30, 931, 27123, 32, 1811, 6317, 8770, 27, 203, 20881, 928, 280, 617, 936, 6317, 2214, 26, 928, 81, 5836, 32, 20881, 928, 30, 931, 27123, 32, 20881, 928, 8770, 27, 203, 2900, 6317, 225, 280, 617, 936, 6317, 2214, 26, 1632, 81, 5836, 32, 2900, 6317, 30, 931, 27123, 32, 2900, 6317, 8770, 27, 203, 33226, 6317, 225, 280, 617, 936, 6317, 2214, 26, 23202, 81, 5836, 32, 33226, 6317, 30, 931, 27123, 32, 33226, 6317, 8770, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 8, 8, 8, 10, 8, 8, 10, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 8, 4, 4, 5, 2, 2, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 6, 6, 6, 5, 6, 6, 4, 4, 6, 5, 6, 6, 6, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 6, 6, 6, 5, 6, 6, 4, 4, 6, 5, 6, 6, 6, 4, 0, 3, 3, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 5, 6, 6, 4, 4, 6, 5, 6, 6, 6, 4, 0, 3, 3, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 5, 6, 6, 4, 4, 6, 5, 6, 6, 6, 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, 1, 1, 1, 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, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 4, 4, 3, 3, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1673, 2304, 32, 1262, 1188, 4705, 203, 465, 2322, 203, 11144, 55, 81, 3197, 47, 3056, 3381, 33, 6074, 33, 6921, 25, 203, 32044, 280, 1605, 203, 325, 2322, 32, 983, 32, 4658, 463, 843, 33, 6921, 7831, 284, 436, 7275, 328, 2322, 32, 26366, 463, 843, 33, 6921, 7831, 291, 34386, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 1581, 30, 330, 7257, 81, 40182, 2847, 203, 605, 81, 2536, 280, 428, 440, 6074, 33, 19005, 10590, 3037, 6074, 33, 19005, 33, 1435, 3224, 1119, 32, 10953, 28431, 1090, 2884, 6074, 33, 5353, 33, 90, 18658, 271, 33, 40121, 33, 7491, 392, 3037, 6074, 33, 5353, 33, 1435, 3224, 1119, 32, 3672, 6890, 1090, 1481, 474, 10440, 500, 32, 983, 32, 2524, 26, 11144, 55, 81, 3197, 30, 11259, 471, 1014, 428, 500, 32, 983, 32, 2524, 463, 843, 370, 330, 6921, 370, 11259, 30, 330, 1435, 3224, 1119, 32, 775, 45325, 1014, 436, 11259, 328, 34386, 79, 203, 5522, 26, 291, 636, 280, 330, 1435, 3224, 1119, 370, 291, 1503, 280, 330, 34, 32, 35, 32, 36, 370, 291, 7599, 280, 2107, 1435, 905, 4764, 2188, 291, 10105, 280, 2107, 1435, 3224, 1119, 2188, 291, 3541, 280, 330, 21327, 6146, 5056, 1177, 354, 37, 308, 21181, 104, 37, 7243, 291, 1984, 280, 330, 641, 555, 933, 32, 508, 33, 37481, 1701, 305, 31, 95, 3806, 33, 1435, 905, 4764, 370, 291, 3048, 280, 330, 2272, 4559, 32655, 19687, 5703, 645, 22980, 556, 45971, 905, 6325, 2145, 6418, 291, 1946, 81, 2310, 280, 330, 2272, 4559, 5251, 540, 5207, 623, 312, 13027, 370, 291, 17503, 280, 2107, 12183, 2188, 291, 4081, 280, 330, 66, 368, 1701, 305, 370, 291, 4081, 81, 1935, 280, 330, 37481, 1701, 305, 50, 1435, 564, 4973, 31, 11788, 32, 1088, 370, 291, 36614, 280, 330, 27952, 81, 27952, 370, 291, 36614, 81, 1935, 280, 330, 27952, 32, 27952, 50, 1435, 564, 4973, 31, 11788, 32, 1088, 370, 291, 706, 81, 2536, 280, 706, 81, 2536, 30, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 0, 1, 1, 4, 5, 3, 4, 3, 5, 5, 5, 5, 1, 1, 3, 3, 3, 5, 6, 5, 7, 7, 7, 7, 3, 3, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 9, 9, 11, 11, 11, 11, 0, 3, 3, 3, 2, 2, 5, 7, 7, 7, 7, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 3, 3, 9, 8, 9, 7, 8, 7, 8, 8, 8, 8, 7, 7, 7, 5, 5, 10, 9, 10, 8, 9, 8, 10, 10, 8, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 5, 5, 4, 0, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 7, 7, 7, 7, 3, 3, 4, 4, 7, 7, 7, 7, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 7, 7, 3, 3, 4, 4, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 4, 6, 6, 6, 6, 3, 3, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 4, 5, 5, 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 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 1, 2, 1, 1, 7, 7, 1, 1, 1, 2, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 15, 15, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 17, 17, 1, 2, 1, 1, 19, 19, 1, 1, 1, 1, 2, 1, 1, 0, 0, 21, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 23, 23, 1, 1, 1, 2, 1, 1, 0, 0, 25, 25, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 27, 27, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 638, 1188, 20161, 203, 1070, 638, 1188, 4549, 203, 1070, 638, 1188, 2115, 91, 81, 2122, 203, 1070, 638, 3378, 32, 17626, 1188, 516, 1724, 13976, 30, 2115, 91, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 1, 1, 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 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 858, 1188, 19205, 203, 823, 4448, 1222, 6861, 4470, 26, 7233, 711, 284, 19990, 280, 330, 26460, 4882, 32, 1819, 81, 24715, 32, 11400, 25, 284, 665, 894, 81, 1357, 81, 5843, 26, 784, 711, 291, 1984, 280, 3056, 1357, 81, 10407, 7404, 291, 1789, 280, 630, 32, 1580, 32, 371, 26, 965, 27, 291, 630, 32, 45100, 26, 1986, 30, 330, 9037, 1326, 683, 291, 1789, 280, 630, 32, 1580, 32, 371, 26, 965, 27, 291, 630, 32, 45100, 26, 1986, 30, 330, 1337, 14706, 683, 291, 1789, 280, 630, 32, 1580, 32, 371, 26, 965, 30, 5053, 297, 81, 11850, 950, 330, 27028, 18143, 291, 630, 32, 45100, 26, 1986, 30, 330, 1337, 14706, 683, 291, 1789, 280, 630, 32, 1580, 32, 1526, 26, 965, 30, 5053, 297, 81, 11850, 950, 330, 27028, 18143, 291, 630, 32, 45100, 26, 1986, 30, 330, 1337, 14706, 683, 291, 1789, 280, 630, 32, 1580, 32, 371, 26, 965, 27, 291, 630, 32, 45100, 26, 1986, 30, 1984, 27, 291, 1789, 280, 630, 32, 1580, 32, 371, 26, 965, 30, 5053, 983, 950, 3056, 27028, 7404, 1748, 291, 630, 32, 45100, 26, 1986, 30, 1984, 27, 291, 1789, 280, 630, 32, 1580, 32, 1526, 26, 965, 30, 5053, 983, 950, 3056, 27028, 7404, 1748, 291, 630, 32, 45100, 26, 1986, 30, 1984, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 12, 12, 12, 12, 10, 12, 12, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 12, 12, 12, 12, 10, 12, 12, 4, 4, 7, 8, 7, 8, 7, 7, 9, 9, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 12, 12, 10, 12, 12, 9, 4, 4, 7, 8, 7, 8, 7, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 12, 12, 10, 12, 12, 9, 4, 4, 7, 8, 7, 8, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 12265, 2852, 203, 823, 358, 9625, 3300, 1006, 26, 15798, 32, 7233, 829, 499, 203, 202, 589, 894, 24317, 26, 630, 829, 499, 357, 202, 100, 280, 12265, 2852, 32, 5687, 51, 3300, 346, 357, 202, 784, 32, 5299, 26, 540, 1365, 10447, 6494, 371, 11851, 882, 1026, 3330, 829, 357, 202, 100, 280, 12265, 2852, 32, 5687, 51, 3300, 26, 313, 858, 33, 3989, 2852, 33, 605, 33, 1586, 83, 3839, 33, 858, 32, 1586, 83, 20, 829, 357, 202, 784, 32, 5299, 26, 540, 1365, 10447, 6494, 371, 11851, 882, 1026, 313, 858, 33, 3989, 2852, 33, 605, 33, 1586, 83, 3839, 33, 858, 32, 1586, 83, 20, 829, 203, 202, 589, 894, 19971, 26, 630, 829, 499, 357, 202, 100, 280, 12265, 2852, 32, 5687, 51, 3300, 26, 313, 858, 33, 3989, 2852, 33, 605, 33, 1586, 83, 3839, 33, 858, 32, 1586, 83, 20, 829, 357, 202, 97, 280, 540, 32, 850, 346, 357, 202, 3989, 2852, 32, 959, 3976, 26, 337, 30, 2430, 2868, 33, 21608, 38, 32, 42468, 20, 6804, 1821, 346, 357, 202, 784, 32, 5066, 23093, 26, 337, 32, 45905, 26, 12265, 2852, 32, 6834, 12216, 32, 1574, 15629, 346, 829, 829, 357, 202, 784, 32, 5299, 26, 337, 32, 1516, 6834, 30, 225, 39, 474, 225, 40, 829, 357, 202, 784, 32, 5066, 23093, 26, 337, 32, 586, 12216, 10165, 2303, 346, 829, 357, 202, 784, 32, 5066, 23093, 26, 313, 66, 20, 328, 337, 829, 357, 202, 784, 32, 5066, 23093, 26, 313, 44896, 20, 328, 337, 829, 357, 202, 784, 32, 5066, 23093, 26, 313, 44313, 20, 328, 337, 829, 357, 202, 784, 32, 5066, 23093, 26, 313, 108, 6353, 20, 328, 337, 829, 27635, 202, 784, 32, 5066, 23093, 26, 313, 3804, 20, 328, 337, 829, 27635, 202, 784, 32, 5066, 23093, 26, 313, 3242, 558, 20, 328, 337, 829, 27635, 202, 784, 32, 5066, 23093, 26, 313, 3242, 558, 13390, 20, 328, 337, 829, 357, 202, 784, 32, 5299, 26, 337, 1365, 66, 6494, 37654, 30, 12265, 2852, 32, 12216, 3818, 32, 38126, 32, 5635, 829, 357, 202, 784, 32, 5299, 26, 337, 1365, 44896, 6494, 37654, 30, 12265, 2852, 32, 12216, 3818, 32, 38126, 32, 5635, 829, 22019, 202, 784, 32, 5299, 26, 337, 1365, 44313, 6494, 37654, 30, 12265, 2852, 32, 12216, 3818, 32, 38126, 32, 5635, 829, 357, 202, 784, 32, 5299, 26, 337, 1365, 108, 6353, 6494, 37654, 30, 12265, 2852, 32, 12216, 3818, 32, 38126, 32, 5635, 829, 357, 202, 784, 32, 5299, 26, 337, 1365, 3804, 6494, 37654, 30, 12265, 2852, 32, 12216, 3818, 32, 38126, 32, 5635, 829, 357, 202, 784, 32, 5299, 26, 337, 1365, 3242, 558, 13390, 6494, 37654, 30, 12265, 2852, 32, 12216, 3818, 32, 38126, 32, 5635, 829, 357, 202, 784, 32, 5299, 26, 337, 1365, 3242, 558, 6494, 37654, 30, 12265, 2852, 32, 12216, 3818, 32, 38126, 32, 5465, 829, 357, 202, 784, 32, 5066, 23093, 26, 6937, 26, 337, 1365, 66, 6494, 605, 30, 12265, 2852, 32, 72, 37, 88, 2863, 750 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 3, 4, 2, 1, 1, 1, 3, 3, 4, 4, 4, 4, 3, 3, 3, 7, 6, 6, 9, 8, 9, 9, 9, 8, 4, 4, 8, 7, 8, 7, 7, 10, 12, 12, 10, 10, 10, 9, 7, 7, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 4, 4, 8, 7, 8, 7, 7, 10, 12, 12, 10, 10, 10, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 7, 6, 6, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 10, 10, 9, 10, 10, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 9, 8, 7, 4, 4, 8, 7, 8, 8, 7, 7, 9, 10, 9, 9, 13, 12, 13, 13, 11, 12, 12, 11, 9, 7, 4, 4, 8, 7, 8, 7, 7, 8, 9, 9, 7, 7, 9, 8, 8, 9, 7, 4, 4, 8, 7, 8, 8, 7, 7, 9, 10, 10, 10, 10, 9, 7, 4, 4, 8, 7, 8, 8, 7, 7, 10, 10, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 7, 10, 10, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 7, 10, 10, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 7, 10, 10, 10, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 7, 10, 10, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 7, 10, 10, 10, 8, 8, 7, 4, 4, 8, 7, 8, 8, 7, 7, 10, 10, 10, 10, 8, 8, 7, 4, 4, 8, 7, 8, 7, 7, 9, 11, 11, 9, 7, 7, 11, 10, 11, 11, 9, 10, 8, 9, 7, 4, 4, 8, 7, 8, 7, 7, 9, 11, 11, 9, 7, 7, 11, 10, 11, 11, 9, 10, 8, 9, 7, 4, 4, 8, 7, 8, 7, 7, 9, 11, 11, 9, 7, 7, 11, 10, 11, 11, 9, 10, 8, 9, 7, 4, 4, 8, 7, 8, 7, 7, 9, 11, 11, 11, 9, 7, 7, 11, 10, 11, 11, 9, 10, 8, 9, 7, 4, 4, 8, 7, 8, 7, 7, 9, 11, 11, 9, 7, 7, 11, 10, 11, 11, 9, 10, 8, 9, 7, 4, 4, 8, 7, 8, 7, 7, 9, 11, 11, 11, 11, 9, 7, 7, 11, 10, 11, 11, 9, 10, 8, 9, 7, 4, 4, 8, 7, 8, 7, 7, 9, 11, 11, 11, 9, 7, 7, 11, 10, 11, 11, 9, 10, 8, 9, 7, 4, 4, 8, 7, 8, 8, 7, 7, 9, 9, 11, 13, 13, 11, 9, 9, 11, 10, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 3, 3, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 3, 2, 1, 4, 4, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 3, 2, 1, 4, 4, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 3, 2, 1, 4, 4, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 3, 2, 1, 4, 4, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 3, 2, 1, 4, 4, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 3, 2, 1, 4, 4, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 3, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 3, 2, 2, 2, 2, 2 ]
[ 465, 2322, 203, 39891, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 203, 823, 3383, 44, 284, 16597, 81, 2474, 280, 330, 22491, 8784, 481, 25, 284, 488, 9627, 527, 81, 2474, 280, 330, 8784, 7066, 25, 284, 488, 9627, 527, 81, 17945, 280, 330, 4636, 7066, 50, 18365, 4636, 481, 32, 508, 25, 284, 39812, 81, 3307, 280, 2322, 32, 12757, 32, 371, 463, 16259, 81, 3307, 683, 284, 39812, 81, 2413, 280, 330, 641, 555, 1237, 32, 2200, 14474, 32, 1299, 33, 104, 37, 33, 18138, 42, 40, 1919, 41, 34, 42, 84, 34, 864, 42, 38, 35, 43, 37, 43, 36, 38, 83, 40, 43, 34, 34, 34, 43, 38, 83, 35, 35, 2161, 32, 2200, 14474, 32, 1088, 25, 284, 5490, 16107, 81, 3307, 280, 2322, 32, 12757, 32, 371, 463, 17252, 81, 3307, 683, 556, 330, 57, 34, 34, 1996, 37, 37, 56, 25, 284, 4428, 726, 1405, 4547, 75, 81, 24556, 81, 567, 81, 1713, 783, 10445, 280, 2933, 284, 477, 16099, 284, 665, 3219, 81, 725, 26, 725, 711, 291, 3097, 203, 823, 15612, 1063, 26, 1063, 711, 284, 9399, 280, 2933, 284, 5895, 1392, 280, 2933, 284, 4428, 726, 1405, 4547, 75, 81, 20528, 81, 6333, 280, 2322, 32, 12757, 32, 371, 463, 10450, 81, 20528, 81, 2413, 683, 556, 766, 291, 330, 14107, 555, 7404, 474, 2322, 32, 983, 32, 2524, 26, 39891, 30, 330, 605, 31, 1902, 32, 14107, 683, 203, 823, 15593, 1063, 26, 1063, 711, 284, 9399, 280, 2933, 284, 5895, 1392, 280, 2933, 284, 4428, 726, 1405, 4547, 75, 81, 20528, 81, 6333, 280, 2322, 32, 12757, 32, 371, 463, 3765, 81, 20528, 81, 2413, 683, 556, 766, 291, 330, 14107, 555, 7404, 474, 2322, 32, 983, 32, 2524, 26, 39891, 30, 330, 605, 31, 858, 32, 14107, 683, 203, 823, 35548, 1063, 26, 1063, 711, 284, 39812, 81, 2413, 280, 330, 641, 555, 1237, 32, 2200, 14474, 32, 1299, 33, 104, 37, 33, 9072, 32, 18365, 4636, 481, 32, 508, 25, 284, 4428, 726, 1405, 4547, 75, 81, 20528, 81, 6333, 280, 2322, 32, 12757, 32, 371, 463, 20528, 81, 2413, 683, 556, 766, 291, 330, 14107, 555, 7404, 474, 2322, 32, 983, 32, 2524, 26, 39891, 30, 330, 605, 32, 14107, 683, 203, 1163, 280, 301, 284, 330, 12196, 950, 15612, 1063, 30, 284, 330, 4266, 950, 15593, 1063, 30, 284, 330, 12191, 950, 35548, 1063, 30, 284, 330, 1536, 950, 15612, 1063, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 1, 1, 1, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 5, 5, 5, 5, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 0, 3, 2, 2, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 4, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 3, 3, 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, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 7, 7, 1, 1, 1, 2, 1, 2, 1, 1, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 1, 2, 7, 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 ]
[ 9592, 203, 50, 2116, 44, 958, 40919, 4325, 399, 15920, 203, 50, 2077, 44, 647, 6987, 6146, 5056, 1177, 225, 36, 32, 34, 556, 6125, 203, 50, 5546, 44, 647, 28229, 4325, 32, 404, 5930, 50, 7253, 32, 508, 203, 50, 12708, 44, 19967, 32, 1676, 100, 369, 32, 1088, 203, 9592, 203, 1270, 44, 284, 645, 804, 83, 1237, 261, 1188, 319, 284, 645, 804, 83, 2304, 1188, 319, 284, 645, 804, 85, 647, 1188, 319, 203, 7343, 44, 284, 3097, 203, 465, 298, 2255, 203, 1070, 12404, 1188, 319, 203, 1070, 12706, 262, 1188, 319, 203, 823, 6550, 81, 1521, 308, 98, 2255, 32, 1251, 711, 284, 5881, 284, 5881, 284, 804, 3389, 280, 1665, 284, 25598, 81, 1366, 263, 280, 1665, 284, 25598, 81, 416, 2264, 280, 1665, 284, 7713, 1468, 280, 1665, 284, 9209, 263, 280, 1665, 284, 667, 263, 280, 1665, 284, 9400, 262, 280, 2149, 284, 1929, 81, 20153, 280, 225, 34, 284, 1447, 2850, 280, 2149, 284, 665, 1156, 1664, 505, 308, 784, 30, 25598, 81, 1366, 30, 25598, 81, 416, 30, 7713, 47, 18416, 81, 15748, 30, 9209, 47, 39861, 16928, 1296, 81, 8467, 30, 667, 47, 2521, 711, 291, 5881, 291, 2244, 12884, 322, 6550, 2163, 645, 25598, 81, 1366, 372, 25598, 81, 416, 32, 291, 477, 2970, 44, 12706, 32, 978, 291, 477, 681, 225, 25598, 81, 1366, 44, 10835, 291, 477, 753, 25598, 81, 1366, 44, 19221, 661, 2965, 432, 1477, 432, 6550, 2163, 308, 42093, 27, 291, 477, 681, 225, 25598, 81, 416, 44, 261, 10835, 291, 477, 753, 25598, 81, 416, 44, 261, 19221, 661, 2965, 432, 943, 432, 6550, 2163, 308, 42093, 27, 291, 477, 681, 225, 7713, 44, 264, 4401, 291, 477, 753, 7713, 44, 264, 308, 7556, 30, 3071, 47, 18416, 81, 15748, 27, 4971, 11086, 372, 22928, 322, 2297, 291, 477, 681, 225, 9209, 44, 4401, 291, 477, 753, 9209, 44, 308, 7556, 30, 3071, 47, 39861, 16928, 1296, 81, 8467, 27, 20547, 6717, 9209, 2075, 372, 5352, 291, 477, 681, 225, 667, 44, 298, 8785, 32, 1126, 291, 477, 753, 667, 44, 308, 7556, 30, 3071, 47, 2521, 27, 11352, 372, 2935, 667, 3851, 291, 5881, 291, 2599, 26, 6390, 81, 1521, 30, 630, 14585, 1664, 3207, 4532, 81, 1366, 27, 291, 35426, 280, 428, 1816, 436, 5759, 328, 17232, 101, 26, 4532, 81, 1366, 30, 25598, 81, 416, 474, 225, 35, 27, 415, 438, 1227, 26, 936, 4629, 26, 1816, 12634, 291, 630, 32, 314, 3389, 280, 25598, 81, 1366, 291, 630, 32, 4532, 81, 1366, 263, 280, 25598, 81, 1366, 291, 630, 32, 4532, 81, 416, 2264, 280, 25598, 81, 416, 291, 630, 32, 6299, 1468, 280, 7713, 291, 630, 32, 11382, 263, 280, 9209, 291, 630, 32, 1126, 263, 280, 667, 291, 630, 32, 1516, 81, 20153, 280, 2069, 26, 20340, 27, 291, 630, 32, 20153, 262, 280, 2149, 291, 630, 32, 407, 2850, 280, 2149, 291, 630, 32, 5459, 280, 630, 32, 20153, 291, 1596, 44, 324, 630, 32, 1126, 32, 1516, 81, 20153, 1454, 630, 32, 1516, 81, 20153 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 3, 5, 5, 3, 3, 3, 2, 2, 3, 5, 5, 3, 3, 2, 2, 3, 5, 3, 3, 3, 1, 2, 2, 2, 2, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 4, 4, 3, 4, 2, 1, 1, 5, 5, 2, 2, 4, 4, 4, 2, 2, 5, 5, 4, 4, 4, 2, 2, 5, 5, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 4, 4, 4, 2, 2, 5, 5, 4, 4, 5, 2, 2, 4, 4, 4, 2, 2, 3, 4, 4, 3, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 6, 6, 4, 4, 5, 6, 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, 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, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 4, 4, 6, 6, 8, 7, 8, 8, 8, 10, 10, 11, 11, 11, 10, 10, 12, 12, 11, 11, 12, 10, 7, 8, 10, 10, 12, 12, 12, 13, 12, 4, 4, 7, 8, 6, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 6, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 5, 5, 5, 10, 11, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10 ]
[ 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, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 3, 3, 3, 3, 0, 2, 2, 0, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 4, 0, 5, 5, 1, 1, 5, 0, 0, 1, 2, 2, 5, 5, 1, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 4, 4, 10, 1, 1, 10, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 2, 1, 2, 3, 0, 1, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 13, 13, 13, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 505, 1427, 1643, 505, 280, 313, 268, 25120, 878, 931, 20, 203, 465, 5741, 203, 1070, 3738, 1188, 5393, 620, 203, 505, 464, 505, 280, 2107, 1562, 43863, 785, 203, 751, 280, 5741, 32, 10579, 463, 89, 344, 4669, 1231, 32, 5866, 683, 203, 823, 2616, 43863, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 16283, 30, 319, 11452, 711, 291, 630, 1114, 21111, 280, 16283, 291, 630, 1114, 11452, 280, 428, 87, 436, 484, 328, 14735, 77, 34, 3212, 3701, 665, 1156, 32110, 3207, 784, 30, 636, 711, 291, 2830, 280, 630, 3667, 371, 4890, 505, 14728, 21111, 683, 291, 14735, 280, 630, 3667, 371, 4890, 505, 14728, 11452, 683, 291, 415, 308, 2067, 438, 1665, 27, 556, 308, 426, 328, 14735, 711, 324, 630, 3667, 371, 4890, 3207, 426, 27, 291, 813, 44, 324, 1596, 44, 400, 5601, 280, 18623, 26, 2067, 30, 636, 27, 400, 415, 6937, 26, 2067, 30, 5393, 620, 711, 528, 442, 537, 32, 48618, 26, 2437, 32, 449, 81, 1298, 30, 630, 30, 2830, 3667, 823, 8223, 400, 813, 44, 528, 442, 5601, 324, 2940, 29316, 44, 400, 3636, 29316, 440, 21735, 101, 25, 1300, 1401, 1289, 3879, 6611, 101, 7362, 904, 9474, 308, 784, 3667, 823, 29215, 426, 7642, 636, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 7, 8, 8, 8, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 10, 4, 4, 5, 9, 8, 8, 7, 6, 6, 9, 8, 8, 7, 5, 5, 9, 10, 10, 10, 10, 9, 5, 5, 6, 6, 6, 8, 8, 8, 11, 11, 13, 14, 13, 13, 13, 9, 9, 10, 12, 13, 12, 12, 13, 12, 10, 10, 12, 14, 15, 14, 16, 15, 16, 16, 16, 14, 14, 14, 14, 15, 16, 16, 10, 10, 11, 11, 11, 13, 8, 8, 9, 9, 9, 9, 11, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 14, 18, 17, 18, 18, 17, 17, 15, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 2, 2, 2, 2, 3, 2, 3, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 5, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 19486, 32, 1711, 1208, 1188, 5245, 1208, 203, 1070, 19486, 32, 59, 4652, 1188, 439, 4652, 1722, 203, 1070, 19486, 32, 2168, 1188, 9286, 203, 1070, 19486, 32, 12319, 1188, 29112, 203, 1070, 358, 1220, 1229, 32, 4615, 1188, 14215, 203, 1070, 358, 1220, 1229, 32, 22957, 1188, 18513, 203, 1070, 931, 30624, 1188, 484, 6421, 203, 823, 439, 4652, 26, 4615, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 3523, 30, 4774, 720, 47, 2521, 711, 357, 202, 325, 646, 4774, 720, 44, 4774, 720, 280, 1605, 357, 202, 4615, 3667, 1664, 3207, 784, 30, 3523, 27, 357, 202, 784, 32, 3515, 720, 280, 4774, 720, 357, 202, 784, 32, 9717, 16006, 280, 2149, 357, 202, 784, 32, 9717, 280, 29112, 26, 34, 30, 2069, 26, 3515, 720, 490, 357, 202, 784, 1365, 9717, 1446, 280, 630, 32, 9717, 357, 202, 784, 32, 6891, 9717, 280, 29112, 26, 34, 30, 225, 35, 34, 34, 27, 357, 202, 784, 1365, 6891, 9717, 1446, 280, 630, 32, 6891, 9717, 357, 202, 784, 32, 1517, 280, 9286, 41648, 2626, 26124, 1179, 5294, 4465, 2131, 357, 202, 784, 1365, 1517, 1446, 280, 630, 32, 1517, 357, 202, 784, 32, 1320, 280, 9286, 346, 357, 202, 784, 1365, 1320, 1446, 280, 630, 32, 1320, 357, 202, 784, 32, 5043, 280, 225, 34, 357, 202, 784, 32, 731, 280, 225, 34, 357, 202, 784, 32, 15192, 81, 5043, 280, 1605, 357, 202, 784, 32, 6891, 280, 225, 34, 357, 202, 784, 32, 6891, 6421, 280, 484, 6421, 346, 357, 202, 784, 32, 6891, 6421, 32, 4383, 32, 1689, 26, 784, 32, 1409, 3680, 6421, 27, 357, 202, 784, 32, 639, 6706, 280, 439, 4652, 1722, 346, 357, 202, 784, 32, 639, 6706, 32, 669, 3296, 26, 784, 32, 639, 6706, 3296, 27, 357, 202, 784, 32, 10333, 5276, 280, 1665, 357, 202, 784, 32, 1945, 3353, 5276, 346, 357, 202, 784, 1365, 3543, 1446, 280, 5245, 1208, 14141, 22952, 7105, 3439, 357, 202, 109, 355, 202, 20, 1253, 563, 630, 32, 4775, 30, 355, 202, 20, 975, 563, 630, 32, 4775, 357, 202, 835, 429, 35, 27, 203, 202, 589, 1420, 3353, 5276, 26, 784, 711, 357, 202, 325, 630, 32, 10333, 5276, 438, 1665, 44, 355, 202, 784, 32, 10333, 5276, 280, 225, 34, 357, 202, 1824, 44, 355, 202, 784, 32, 10333, 5276, 1454, 225, 35, 357, 202, 1216, 2069, 26, 784, 32, 3515, 720, 471, 630, 32, 10333, 5276, 357, 202, 325, 2069, 26, 784, 32, 3515, 720, 27, 429, 225, 35, 333, 630, 32, 10333, 5276, 44, 355, 202, 784, 32, 6891, 9717, 32, 11535, 26, 34, 27, 355, 202, 784, 32, 9717, 32, 11535, 26, 1657, 26, 784, 32, 3515, 720, 490, 355, 202, 784, 32, 1320, 32, 6616, 17987, 355, 202, 784, 32, 1517, 32, 6616, 26, 96, 33170, 440, 9107, 429, 42163, 30, 33082, 556, 6556, 904, 86, 2652, 10027, 101, 5715, 313, 9107, 429, 42163, 30, 33082, 556, 6556, 904, 86, 7599, 10027, 101, 5715, 630, 32, 5043, 27, 904, 308, 784, 32, 5043, 30, 310, 33170 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 5, 5, 6, 7, 5, 5, 9, 8, 8, 4, 4, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 8, 7, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 8, 9, 8, 8, 10, 11, 11, 10, 4, 4, 8, 7, 9, 9, 6, 6, 7, 8, 4, 4, 8, 7, 8, 8, 6, 6, 8, 9, 8, 8, 9, 9, 9, 8, 4, 4, 8, 7, 9, 9, 9, 6, 6, 7, 8, 8, 4, 4, 8, 7, 8, 6, 6, 8, 12, 12, 12, 12, 12, 12, 4, 4, 8, 7, 9, 9, 6, 6, 7, 8, 4, 4, 8, 7, 8, 6, 6, 8, 4, 4, 8, 7, 9, 9, 6, 6, 7, 8, 4, 4, 8, 7, 8, 6, 6, 7, 4, 4, 8, 7, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 6, 6, 8, 8, 4, 4, 10, 9, 10, 10, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 8, 7, 8, 8, 6, 6, 8, 8, 8, 4, 4, 9, 8, 9, 9, 7, 8, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 8, 7, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 9, 9, 6, 6, 8, 8, 11, 11, 11, 8, 8, 9, 9, 9, 12, 12, 12, 10, 11, 12, 9, 9, 9, 12, 12, 12, 10, 11, 12, 9, 9, 9, 8, 10, 8, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 7, 8, 8, 6, 6, 5, 5, 5, 10, 9, 10, 10, 8, 8, 9, 5, 5, 6, 6, 6, 6, 11, 10, 11, 11, 9, 9, 10, 4, 4, 5, 5, 7, 9, 8, 9, 9, 7, 5, 6, 7, 7, 4, 4, 5, 5, 9, 11, 10, 11, 11, 9, 7, 7, 8, 6, 6, 7, 8, 8, 5, 5, 5, 11, 10, 11, 11, 9, 10, 9, 10, 9, 6, 6, 11, 10, 11, 9, 10, 9, 11, 11, 13, 12, 13, 13, 11, 6, 6, 11, 10, 11, 9, 10, 9, 6, 6, 11, 10, 11, 9, 10, 9, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 13, 14, 12, 10, 10, 13, 12, 13, 11, 11, 14 ]
[ 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 6, 6, 0, 6, 6, 0, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 5, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 0, 0, 1, 4, 4, 0, 0, 1, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 3, 3, 3, 0, 1, 2, 1, 2, 2, 3, 3, 3, 0, 1, 2, 3, 2, 2, 3, 3, 3, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 4, 4, 4, 4, 0, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 4, 4, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 3, 3, 0, 0, 2, 0, 2, 1, 3, 3, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0 ]
[ 465, 2322, 203, 465, 3363, 203, 465, 13539, 761, 203, 465, 5237, 203, 465, 13092, 203, 465, 6382, 32, 4275, 203, 505, 1580, 280, 1665, 203, 325, 5237, 32, 1648, 81, 1338, 32, 13147, 610, 225, 36, 44, 284, 803, 81, 1206, 81, 6264, 81, 731, 280, 45338, 203, 1824, 44, 284, 803, 81, 1206, 81, 6264, 81, 731, 280, 2032, 27981, 203, 589, 622, 81, 1580, 2262, 284, 3649, 1156, 1580, 284, 415, 1156, 1580, 438, 1665, 44, 291, 1156, 1580, 280, 6382, 32, 1070, 81, 2121, 346, 284, 442, 1156, 1580, 203, 589, 9585, 81, 2242, 2740, 1275, 4243, 711, 284, 477, 12408, 32, 12940, 284, 665, 15124, 2262, 291, 2043, 280, 622, 81, 1580, 346, 291, 617, 6008, 81, 288, 3666, 81, 363, 81, 18021, 26, 1275, 4243, 30, 2043, 27, 291, 6761, 291, 617, 6008, 81, 288, 3666, 81, 363, 81, 18021, 26, 1275, 4243, 30, 2043, 27, 284, 442, 15124, 203, 589, 617, 6008, 81, 288, 3666, 81, 363, 81, 18021, 26, 1275, 4243, 30, 2043, 711, 284, 372, 81, 6008, 280, 1605, 284, 436, 4791, 328, 4791, 4243, 44, 291, 415, 17917, 328, 4791, 44, 324, 372, 81, 6008, 32, 1689, 26, 1275, 27, 291, 813, 44, 324, 436, 4791, 81, 2067, 328, 2043, 32, 2242, 32, 668, 26, 1275, 711, 400, 372, 81, 6008, 32, 8233, 26, 1275, 81, 2067, 32, 3963, 27, 284, 436, 636, 328, 372, 81, 6008, 44, 291, 1596, 44, 324, 2043, 32, 2242, 32, 2546, 26, 426, 30, 7650, 47, 1815, 27, 291, 2940, 6382, 32, 4275, 32, 1658, 5965, 44, 324, 3097, 203, 50, 12408, 32, 12940, 203, 589, 23662, 81, 19186, 2262, 284, 617, 5961, 81, 325, 81, 19186, 81, 19561, 81, 2816, 81, 297, 26, 2700, 27, 203, 50, 12408, 32, 12940, 203, 589, 2979, 81, 19561, 81, 19186, 2262, 284, 617, 5961, 81, 325, 81, 19186, 81, 19561, 81, 2816, 81, 297, 26, 1815, 27, 203, 589, 617, 5961, 81, 325, 81, 19186, 81, 19561, 81, 2816, 81, 297, 26, 5961, 81, 325, 81, 267, 711, 284, 2043, 280, 622, 81, 1580, 346, 284, 1503, 280, 2043, 32, 1648, 346, 284, 415, 1503, 32, 371, 440, 26692, 392, 3177, 27, 610, 7116, 81, 325, 81, 267, 44, 291, 13092, 32, 5961, 26, 324, 313, 2272, 894, 7171, 312, 6382, 19249, 623, 23662, 2926, 319, 23, 101, 22189, 324, 904, 2884, 7073, 20, 415, 7116, 81, 325, 81, 267, 813, 313, 6565, 657, 291, 829, 203, 589, 1201, 81, 761, 81, 1286, 26, 1275, 426, 30, 1519, 30, 2799, 81, 1286, 711, 284, 1596, 44, 291, 4648, 81, 1286, 280, 622, 81, 761, 81, 1286, 26, 1275, 426, 30, 1519, 27, 284, 2940, 6382, 32, 4275, 32, 5965, 44, 291, 1201, 3177, 30, 313, 974, 904, 101, 646, 2431, 20, 904, 1519, 284, 1201, 4648, 81, 1286, 32, 7201, 346, 610, 2799, 81, 1286, 32, 7201, 346, 203, 589, 803, 81, 4658, 26, 1275, 426, 30, 1519, 711, 284, 1596, 44, 291, 622, 81, 761, 81, 1286, 26, 1275, 426, 30, 1519, 27, 284, 2940, 6382, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 3, 3, 2, 2, 0, 1, 1, 4, 5, 5, 5, 3, 4, 2, 2, 3, 1, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 5, 5, 6, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 2, 2, 3, 5, 4, 4, 3, 3, 3, 7, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 4, 4, 2, 1, 1, 6, 5, 6, 3, 3, 4, 5, 4, 4, 7, 7, 9, 9, 9, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 3, 3, 4, 3, 3, 3, 5, 6, 6, 5, 5, 5, 10, 10, 9, 10, 9, 10, 9, 5, 5, 6, 6, 6, 8, 9, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 8, 8, 13, 13, 12, 13, 12, 14, 14, 14, 13, 14, 12, 2, 2, 3, 3, 3, 4, 4, 3, 3, 3, 5, 5, 5, 10, 11, 9, 10, 9, 10, 9, 9, 10, 11, 9, 5, 5, 6, 8, 9, 7, 8, 8, 6, 6, 6, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 6, 7, 6, 8, 8, 6, 6, 4, 4, 5, 5, 5, 5, 3, 3, 3, 7, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 12, 12, 10, 10, 11, 11, 11, 11, 10, 10, 12, 12, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 3, 3, 4, 6, 7, 5, 6, 4, 4, 4, 6, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 7, 7, 6, 7, 6, 4, 4, 7, 7, 6, 7, 6, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 3, 3, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 3, 3, 4, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 0, 0, 0, 0, 0, 0, 7, 7, 0, 2, 2, 2, 0, 2, 1, 1, 2, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 8, 1, 1, 2, 8, 8, 0, 1, 4, 4, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 0, 9, 9, 1, 1, 2, 1, 1, 2, 9, 9, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 4, 4, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 2, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 0, 0, 3, 0, 2, 1, 2, 2, 3, 3, 3, 0, 0, 0, 1, 2, 11, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 12, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 13, 13, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 14, 14, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 5, 5, 2, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 2, 1, 2, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 15, 15, 1, 1, 2, 1, 1, 2, 2, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0 ]
[ 465, 2322, 203, 465, 15798, 203, 1070, 323, 46975, 81, 4295, 1188, 551, 46975, 5472, 203, 465, 1914, 81, 2435, 203, 823, 7502, 685, 14459, 5378, 26, 1473, 711, 334, 665, 5614, 705, 685, 14459, 2976, 26, 784, 30, 9143, 366, 711, 284, 3097, 203, 823, 7502, 14022, 1078, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 14121, 30, 1650, 30, 9143, 366, 1057, 27275, 370, 786, 47, 2521, 30, 3083, 24605, 81, 1003, 47, 34, 30, 1968, 81, 1003, 47, 34, 30, 5403, 1057, 20787, 6594, 47, 2521, 711, 284, 630, 32, 9059, 366, 280, 9143, 366, 284, 630, 32, 13411, 280, 14121, 284, 630, 32, 1055, 280, 1650, 284, 630, 32, 853, 280, 786, 284, 630, 32, 14460, 81, 1003, 280, 24605, 81, 1003, 284, 630, 32, 1832, 81, 1003, 280, 1968, 81, 1003, 284, 630, 32, 20058, 280, 5403, 284, 630, 32, 6173, 280, 6594, 203, 823, 7502, 52, 46975, 1078, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 630, 32, 3613, 81, 13411, 81, 10615, 280, 1605, 284, 4395, 81, 3371, 81, 695, 280, 5053, 2810, 950, 428, 35, 34, 34, 30, 225, 35, 34, 39, 30, 225, 43, 39, 6653, 284, 436, 595, 30, 14093, 328, 10703, 4901, 83, 370, 330, 84, 37886, 397, 4395, 81, 9882, 81, 1293, 280, 7502, 14022, 1078, 26, 9882, 30, 595, 30, 786, 47, 3613, 81, 3371, 81, 695, 30, 5403, 47, 34, 27, 397, 630, 32, 3613, 81, 13411, 81, 10615, 32, 1689, 26, 3613, 81, 9882, 81, 1293, 27, 284, 4395, 81, 7127, 81, 695, 280, 5053, 2810, 950, 428, 35, 30, 225, 36, 30, 225, 37, 6653, 284, 436, 595, 30, 14093, 328, 10703, 4901, 85, 370, 330, 86, 370, 330, 87, 2188, 1477, 47, 36, 711, 397, 4395, 81, 9882, 81, 1293, 280, 7502, 14022, 1078, 26, 9882, 30, 595, 30, 786, 47, 3613, 81, 7127, 81, 695, 30, 5403, 47, 35, 27, 397, 630, 32, 3613, 81, 13411, 81, 10615, 32, 1689, 26, 3613, 81, 9882, 81, 1293, 27, 334, 665, 1390, 14022, 10979, 26, 784, 711, 284, 442, 630, 32, 3613, 81, 13411, 81, 10615, 203, 823, 7502, 52, 46975, 2031, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 630, 32, 8101, 81, 858, 81, 998, 280, 225, 37, 203, 823, 551, 46975, 5472, 1006, 26, 18986, 32, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 630, 32, 3613, 81, 84, 46975, 81, 1293, 280, 7502, 52, 46975, 1078, 346, 284, 630, 32, 3613, 81, 9059, 366, 81, 8200, 280, 7502, 685, 14459, 5378, 346, 284, 630, 32, 3613, 81, 6363, 280, 7502, 52, 46975, 2031, 346, 284, 630, 32, 3613, 81, 19991, 280, 1605, 284, 630, 32, 7318, 81, 33115, 280, 2322, 32, 33115, 284, 630, 32, 7318, 81, 31015, 280, 2322, 32, 31015, 284, 630, 32, 7318, 81, 1217, 81, 13411, 81, 1338, 280, 1914, 81, 2435, 32, 1625, 14022, 1120, 284, 2322, 32, 33115, 280, 9254, 44, 3056, 983, 25, 284, 2322, 32, 31015, 280, 9254, 32161, 1665, 284, 14121, 81, 15572, 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, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 5, 7, 7, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 7, 4, 5, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 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, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 7, 7, 7, 6, 6, 10, 10, 8, 10, 10, 10, 9, 9, 10, 10, 10, 9, 9, 10, 10, 9, 4, 4, 5, 6, 6, 5, 5, 7, 10, 10, 8, 10, 10, 5, 5, 9, 9, 9, 9, 8, 8, 10, 10, 10, 11, 10, 10, 10, 10, 11, 12, 12, 12, 12, 12, 10, 10, 11, 12, 10, 6, 6, 10, 11, 11, 11, 11, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 4, 4, 7, 7, 7, 7, 6, 6, 10, 10, 8, 10, 9, 9, 10, 9, 9, 10, 9, 4, 4, 5, 6, 6, 5, 5, 7, 10, 10, 8, 10, 10, 8, 10, 10, 7, 8, 9, 7, 5, 5, 9, 9, 9, 9, 8, 8, 10, 10, 10, 11, 10, 10, 10, 10, 11, 12, 12, 12, 12, 12, 10, 10, 11, 12, 10, 6, 6, 10, 11, 11, 11, 11, 11, 9, 10, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 7, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 7, 8, 8, 8, 4, 4, 7, 8, 6, 6, 7, 7, 9, 9, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 7, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 0, 0, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 7, 1, 2, 2, 9, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 15, 1, 2, 17, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 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, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 2, 4, 4, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 7, 2, 1, 5, 5, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 3, 2, 2, 5, 2, 4, 4, 4, 1, 1, 4, 4, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 7, 2, 1, 5, 5, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 8, 8, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 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, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 1, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0 ]
[ 465, 2361, 203, 1070, 540, 1247, 1188, 660, 101, 203, 1070, 540, 1247, 32, 5558, 32, 26878, 1188, 13174, 203, 1070, 540, 1247, 32, 5558, 32, 26878, 32, 44663, 32, 369, 14062, 12327, 1188, 8745, 619, 10635, 14062, 2304, 203, 1070, 540, 1247, 32, 2795, 1188, 6850, 203, 823, 31602, 14062, 12327, 20919, 26, 369, 14062, 2304, 32, 20864, 14062, 12327, 17591, 711, 284, 477, 6460, 32, 3648, 81, 4255, 26, 40403, 32, 1183, 32, 1955, 59, 1305, 43531, 27, 284, 477, 6460, 32, 3648, 81, 26878, 26, 3707, 47, 1815, 27, 284, 477, 17881, 32, 7799, 26, 1819, 7814, 15276, 563, 3037, 369, 14062, 12327, 1446, 1748, 284, 665, 1487, 81, 363, 81, 1217, 81, 279, 27986, 26, 784, 30, 30565, 81, 426, 30, 10084, 30, 2761, 47, 2521, 30, 1378, 2532, 1170, 47, 2521, 30, 2723, 47, 2521, 30, 1115, 5321, 711, 291, 415, 2761, 44, 324, 2761, 280, 2361, 32, 16958, 26, 2029, 27, 291, 630, 1114, 1297, 81, 18876, 26, 12327, 81, 426, 30, 10084, 30, 10306, 27, 291, 630, 1114, 1217, 81, 279, 27986, 26, 2029, 30, 2532, 1170, 30, 2723, 27, 284, 477, 6460, 32, 3648, 81, 4255, 26, 40403, 32, 1183, 32, 1955, 59, 1305, 43531, 27, 284, 477, 6460, 32, 3648, 81, 26878, 26, 3707, 47, 1815, 27, 284, 477, 17881, 32, 7799, 26, 1819, 7814, 15276, 563, 3037, 369, 14062, 12327, 1446, 1748, 284, 665, 1487, 81, 363, 81, 1217, 81, 18876, 81, 6446, 26, 784, 30, 30565, 81, 426, 30, 10084, 30, 10000, 2532, 1170, 47, 2521, 30, 2723, 47, 2521, 30, 1115, 5321, 711, 291, 24478, 280, 630, 1114, 1297, 81, 18876, 26, 12327, 81, 426, 30, 10084, 30, 10306, 27, 291, 24478, 81, 2029, 280, 2361, 32, 16958, 15520, 347, 44, 3447, 18876, 81, 314, 563, 24478, 32, 18876, 81, 314, 24471, 291, 630, 1114, 1217, 81, 18876, 81, 6446, 26, 18876, 81, 2029, 30, 2532, 1170, 30, 2723, 27, 284, 477, 6460, 32, 3648, 81, 4255, 26, 40403, 32, 1183, 32, 1955, 59, 1305, 43531, 27, 284, 477, 6460, 32, 3648, 81, 26878, 26, 3707, 47, 1815, 27, 284, 477, 17881, 32, 7799, 26, 1819, 7814, 15276, 563, 3037, 369, 14062, 12327, 1446, 1748, 284, 665, 1487, 81, 363, 81, 1217, 81, 7088, 26, 784, 30, 7022, 81, 426, 30, 7022, 81, 681, 30, 768, 7022, 81, 2243, 30, 7022, 81, 7236, 30, 2869, 81, 314, 30, 768, 2761, 47, 2521, 30, 2532, 1170, 47, 2521, 30, 2723, 47, 2521, 30, 768, 1115, 5321, 711, 291, 630, 1114, 1297, 81, 3287, 26, 4680, 81, 426, 30, 7022, 81, 681, 30, 7022, 81, 2243, 30, 1014, 7022, 81, 7236, 30, 2869, 81, 314, 30, 1115, 5321, 27, 291, 415, 2761, 44, 324, 2761, 280, 2361, 32, 16958, 26, 2029, 27, 291, 630, 1114, 1217, 81, 7088, 26, 2029, 30, 2532, 1170, 30, 2723, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 7, 6, 7, 7, 7, 6, 9, 8, 9, 7, 8, 8, 8, 8, 6, 3, 3, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 3, 3, 7, 6, 7, 6, 8, 7, 11, 11, 9, 12, 12, 12, 12, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 5, 5, 6, 7, 5, 5, 5, 7, 6, 7, 5, 5, 6, 7, 5, 5, 7, 5, 4, 4, 6, 6, 6, 6, 9, 9, 11, 12, 11, 12, 11, 5, 5, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 8, 8, 5, 5, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 8, 8, 8, 2, 2, 7, 6, 7, 7, 7, 6, 9, 8, 9, 7, 8, 8, 8, 8, 6, 3, 3, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 3, 3, 7, 6, 7, 6, 8, 7, 11, 11, 9, 12, 12, 12, 12, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 7, 6, 7, 5, 5, 6, 7, 5, 5, 7, 5, 4, 4, 7, 7, 9, 10, 10, 10, 9, 10, 10, 10, 9, 9, 9, 9, 9, 5, 5, 8, 8, 7, 7, 9, 10, 9, 13, 11, 11, 15, 15, 15, 15, 13, 14, 15, 15, 15, 12, 5, 5, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 8, 8, 8, 2, 2, 7, 6, 7, 7, 7, 6, 9, 8, 9, 7, 8, 8, 8, 8, 6, 3, 3, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 3, 3, 7, 6, 7, 6, 8, 7, 11, 11, 9, 12, 12, 12, 12, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 6, 7, 5, 5, 7, 6, 7, 5, 5, 6, 7, 5, 5, 5, 7, 5, 4, 4, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 10, 8, 5, 5, 6, 6, 6, 6, 9, 9, 11, 12, 11, 12, 11, 5, 5, 8, 9, 9, 9, 8, 9, 8, 8, 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 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 3, 3, 3, 3, 2, 2, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 2, 2, 2, 2, 0, 9, 2, 2, 2, 11, 2, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 0, 7, 2, 2, 2, 9, 2, 2, 2, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 11, 11, 2, 2, 2, 13, 2, 2, 2, 0, 15, 2, 2, 2, 17, 2, 2, 2, 2, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 7, 7, 1, 1, 9, 9, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 21084, 1124, 203, 465, 21084, 1124, 2284, 203, 823, 11633, 25740, 882, 3763, 26, 21084, 1124, 2284, 32, 18117, 25740, 882, 3763, 829, 499, 203, 202, 589, 1156, 1664, 3207, 630, 30, 20527, 30, 32710, 47, 1815, 30, 2266, 47, 2521, 30, 1115, 4124, 829, 499, 357, 202, 18782, 1124, 2284, 32, 18117, 25740, 882, 3763, 3667, 1664, 3207, 630, 30, 20527, 30, 32710, 30, 2266, 30, 630, 3667, 1367, 829, 203, 202, 50, 16099, 203, 202, 589, 1156, 1367, 26, 20527, 829, 499, 357, 202, 1338, 280, 1605, 357, 202, 7393, 280, 20527, 1365, 7393, 6494, 6682, 346, 357, 202, 325, 8778, 77, 34, 79, 863, 225, 34, 556, 8778, 77, 35, 79, 863, 225, 34, 556, 8778, 77, 36, 79, 863, 225, 34, 499, 355, 202, 1338, 32, 1689, 26, 313, 16076, 313, 474, 596, 26, 8778, 829, 829, 357, 202, 13036, 280, 20527, 1365, 13036, 6494, 6682, 346, 357, 202, 325, 8720, 77, 34, 79, 863, 225, 34, 556, 8720, 77, 35, 79, 863, 225, 34, 556, 8720, 77, 36, 79, 863, 225, 34, 499, 355, 202, 1338, 32, 1689, 26, 313, 16581, 313, 474, 596, 26, 8720, 829, 829, 357, 202, 3804, 280, 20527, 1365, 3804, 6494, 6682, 346, 357, 202, 325, 5247, 77, 34, 79, 863, 225, 35, 556, 5247, 77, 35, 79, 863, 225, 35, 556, 5247, 77, 36, 79, 863, 225, 35, 499, 355, 202, 325, 5247, 77, 34, 79, 863, 5247, 77, 35, 79, 556, 5247, 77, 34, 79, 863, 5247, 77, 36, 79, 499, 603, 202, 1338, 32, 1689, 26, 313, 5234, 313, 474, 596, 26, 5247, 829, 829, 355, 202, 1824, 499, 603, 202, 1338, 32, 1689, 26, 313, 5234, 904, 34, 89, 20, 904, 5247, 77, 34, 79, 829, 357, 202, 601, 3003, 4939, 2524, 26, 3099, 829, 203, 18782, 1124, 2284, 32, 25740, 882, 3763, 32, 3317, 620, 26, 21084, 1124, 32, 4859, 25740, 32, 1574, 15629, 1026, 11633, 25740, 882, 3763, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 4, 3, 3, 3, 9, 9, 9, 8, 9, 9, 9, 9, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 7, 2, 2, 4, 5, 3, 3, 4, 4, 5, 5, 5, 5, 4, 4, 4, 8, 7, 7, 5, 5, 8, 7, 7, 10, 12, 12, 10, 9, 5, 5, 6, 6, 10, 11, 10, 9, 9, 10, 8, 8, 10, 11, 10, 9, 9, 10, 7, 7, 9, 10, 9, 8, 8, 9, 6, 6, 6, 11, 10, 11, 10, 10, 13, 13, 11, 11, 13, 13, 13, 10, 5, 5, 8, 7, 7, 10, 12, 12, 10, 9, 5, 5, 6, 6, 10, 11, 10, 9, 9, 10, 8, 8, 10, 11, 10, 9, 9, 10, 7, 7, 9, 10, 9, 8, 8, 9, 6, 6, 6, 11, 10, 11, 10, 10, 13, 13, 11, 11, 13, 13, 13, 10, 5, 5, 8, 7, 7, 10, 12, 12, 10, 9, 5, 5, 6, 6, 10, 11, 10, 9, 9, 10, 8, 8, 10, 11, 10, 9, 9, 10, 7, 7, 9, 10, 9, 8, 8, 9, 6, 6, 6, 8, 8, 11, 12, 11, 10, 10, 11, 12, 11, 9, 9, 11, 12, 11, 10, 10, 11, 12, 11, 8, 8, 8, 13, 12, 13, 12, 12, 15, 15, 13, 13, 15, 15, 15, 12, 8, 8, 9, 9, 9, 9, 14, 13, 14, 13, 13, 16, 16, 16, 16, 16, 14, 14, 15, 16, 15, 13, 5, 5, 6, 6, 10, 9, 8, 8, 8, 0, 5, 5, 5, 4, 5, 5, 5, 3, 4, 4, 3, 3, 7, 6, 7, 7, 5, 6, 6, 5, 3, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 4, 4, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 4, 4, 4, 4, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 4, 4, 6, 6, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 6, 6, 6, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 4, 4, 7, 7, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 13411, 505, 280, 3941, 606, 11033, 203, 858, 81, 605, 280, 428, 284, 2726, 42, 37, 39, 34, 87, 39, 83, 37, 87, 36, 38, 85, 35, 39, 37, 1479, 36, 36, 41, 39, 85, 43, 88, 42, 34, 40, 43, 36, 41, 41, 37, 370, 2550, 313, 2699, 308, 2951, 802, 43471, 284, 2726, 37, 36, 735, 34, 35, 735, 38, 83, 40, 23478, 41, 36, 85, 34, 360, 43, 40, 4342, 37, 38, 85, 34, 84, 39, 86, 35, 370, 330, 83, 1425, 284, 2726, 1804, 42, 39, 37, 84, 34, 86, 37, 88, 42, 42, 86, 43, 43, 84, 37, 34, 36, 42, 37, 83, 40, 43, 87, 40, 981, 40, 2882, 370, 330, 8183, 1425, 284, 2726, 360, 38, 88, 38, 43, 40, 36516, 36, 83, 39, 37, 34, 84, 36, 35, 43, 486, 37, 37, 34, 37, 35, 1225, 34, 40, 84, 34, 370, 330, 1436, 19272, 1425, 284, 2726, 38, 87, 42, 583, 486, 37, 40, 39, 34, 36, 43, 36, 360, 39, 83, 38, 35, 34, 42, 85, 37, 2321, 38, 41, 43, 38, 34, 84, 370, 330, 39250, 42661, 48533, 41462, 11469, 370, 291, 330, 83, 31, 108, 1425, 284, 2726, 1804, 37, 37, 589, 36, 83, 38, 36, 1479, 35, 37, 43, 41, 39, 37, 39, 36, 42, 38, 40, 85, 37, 34, 37, 37, 42, 2087, 370, 291, 330, 38605, 11809, 19108, 14311, 17741, 1952, 67, 9551, 12232, 73, 20792, 39250, 42661, 48533, 41462, 11469, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 370, 291, 330, 51, 31, 76, 30, 312, 31, 108, 30, 225, 34, 31, 43, 1425, 284, 2726, 86, 39, 43, 41, 40, 88, 41, 43, 86, 42, 37, 86, 37, 83, 34, 3455, 43, 42, 34, 40, 85, 37, 85, 40, 40, 88, 37, 39347, 42, 370, 291, 330, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 25, 291, 474, 330, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 370, 291, 5335, 35, 36, 37, 38, 39, 40, 41, 42, 43, 34, 25, 319, 225, 42, 2113, 203, 79, 203, 589, 622, 81, 4882, 26, 1163, 19704, 711, 284, 645, 24379, 32, 2885, 1188, 19165, 36, 284, 645, 4942, 1188, 1930, 81, 2888, 81, 4882, 284, 442, 1930, 81, 2888, 81, 4882, 26, 5108, 36, 30, 313, 5108, 36, 392, 894, 81, 605, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1188, 15798, 284, 13264, 280, 9254, 44, 15798, 32, 25514, 26, 371, 81, 4882, 1157, 284, 15798, 32, 1831, 26, 1536, 1006, 1057, 9089, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 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, 4, 4, 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, 4, 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, 4, 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, 4, 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, 4, 6, 6, 6, 6, 6, 6, 4, 4, 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, 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, 4, 4, 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, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 2, 1, 1, 3, 4, 5, 3, 3, 5, 2, 2, 3, 3, 3, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 6, 6, 5, 5, 7, 7, 7, 5, 6, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 2, 2, 4, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 2, 2, 5, 6, 5, 7, 7, 6, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 1, 1, 1, 1, 2, 3, 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, 1, 1, 1, 2, 5, 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, 1, 1, 2, 7, 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, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 2, 9, 9, 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, 1, 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, 2, 11, 11, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 4, 4, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 3, 3, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1933, 203, 465, 4134, 203, 465, 2322, 203, 465, 2322, 32, 983, 203, 465, 19571, 203, 465, 802, 203, 465, 5237, 203, 3539, 2319, 81, 10509, 280, 225, 36, 203, 3539, 2319, 81, 2918, 14867, 280, 225, 35, 203, 3539, 2319, 81, 21144, 280, 225, 34, 203, 8182, 81, 35909, 280, 330, 9328, 42, 42, 39, 43, 31, 35, 25, 203, 10509, 81, 2399, 69, 280, 2107, 85, 370, 330, 53, 370, 330, 3766, 370, 330, 10509, 370, 330, 85, 1046, 370, 330, 53, 1046, 370, 330, 90, 370, 330, 58, 370, 330, 4962, 370, 330, 10167, 370, 324, 330, 90, 1046, 370, 330, 58, 1046, 785, 203, 2918, 14867, 81, 2399, 69, 280, 2107, 583, 1427, 370, 330, 2918, 14867, 785, 203, 1434, 2576, 7097, 81, 31254, 280, 2107, 17799, 370, 5608, 19370, 370, 330, 43439, 36, 370, 330, 1809, 36, 370, 330, 14136, 785, 203, 4601, 280, 1665, 203, 779, 280, 225, 34, 203, 6016, 81, 18397, 81, 21800, 280, 739, 4901, 878, 370, 330, 1274, 370, 330, 1274, 2111, 370, 330, 687, 370, 330, 4466, 370, 330, 1906, 370, 6029, 330, 13451, 370, 330, 893, 370, 330, 8078, 370, 330, 5766, 370, 330, 761, 370, 330, 20511, 370, 6029, 330, 2024, 3490, 203, 6016, 81, 26951, 81, 47442, 280, 428, 284, 330, 1284, 1637, 3424, 32, 2310, 370, 284, 330, 1969, 3424, 32, 2310, 370, 284, 330, 1969, 3424, 32, 1367, 370, 284, 330, 1969, 3424, 32, 38286, 3424, 370, 284, 330, 2447, 3424, 32, 2763, 370, 284, 330, 2447, 3424, 32, 1367, 370, 284, 330, 2447, 3424, 32, 2310, 370, 284, 330, 2447, 3424, 32, 7827, 370, 284, 330, 2447, 3424, 32, 1517, 370, 284, 330, 1339, 3424, 32, 2763, 370, 284, 330, 1339, 3424, 32, 1367, 370, 284, 330, 1339, 3424, 32, 2310, 370, 284, 330, 1339, 3424, 32, 7827, 370, 284, 330, 1339, 3424, 32, 1517, 370, 284, 330, 4232, 1126, 3424, 32, 2763, 370, 284, 330, 4232, 1126, 3424, 32, 1367, 370, 284, 330, 4232, 1126, 3424, 32, 2310, 370, 284, 330, 4232, 1126, 3424, 32, 7827, 370, 284, 330, 4232, 1126, 3424, 32, 1517, 370, 284, 330, 2289, 1298, 3424, 32, 2763, 370, 284, 330, 2289, 1298, 3424, 32, 1367, 370, 284, 330, 2289, 1298, 3424, 32, 2310, 370, 284, 330, 2289, 1298, 3424, 32, 7827, 370, 284, 330, 2289, 1298, 3424, 32, 1517, 370, 284, 330, 2289, 869, 3424, 32, 2763, 370, 284, 330, 2289, 869, 3424, 32, 1367, 370, 284, 330, 2289, 869, 3424, 32, 2310, 370, 284, 330, 2289, 869, 3424, 32, 7827, 370, 284, 330, 2289, 869, 3424, 32, 1517, 370, 284, 330, 17819, 3424, 32, 2763, 370, 284, 330, 17819, 3424, 32, 1367, 370, 284, 330, 17819, 3424, 32, 2310, 370, 284, 330, 17819, 3424, 32, 7827, 370, 284, 330, 17819, 3424, 32, 1517, 370, 284, 330, 2759, 3424, 32, 2763, 370, 284, 330, 2759, 3424, 32, 1367, 370, 284, 330, 2759, 3424, 32, 2310, 370, 284, 330, 2759, 3424, 32, 7827, 370, 284, 330, 2759, 3424, 32, 1517, 370, 284, 330, 2710, 3424, 32, 2763, 370, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 0, 3, 2, 2, 0, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 7, 7, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2 ]
[ 1070, 894, 1188, 47455, 7233, 203, 1070, 894, 1188, 622, 81, 21945, 81, 1163, 203, 1070, 894, 1188, 1420, 81, 2585, 203, 1070, 4395, 1188, 7841, 203, 1070, 5439, 4359, 1188, 12441, 4359, 15395, 203, 589, 1420, 81, 2585, 81, 325, 81, 39238, 331, 2323, 36, 81, 297, 81, 7230, 26, 1298, 711, 284, 1596, 44, 291, 1188, 29252, 331, 2323, 36, 284, 2940, 29986, 44, 291, 29252, 331, 2323, 36, 280, 1665, 284, 4626, 280, 9254, 44, 29252, 331, 2323, 36, 438, 646, 1665, 284, 442, 1420, 81, 2585, 26, 1298, 30, 4626, 27, 203, 823, 2108, 6139, 4359, 15395, 26, 15395, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 1359, 280, 622, 81, 21945, 81, 1163, 463, 6139, 4359, 15395, 370, 12797, 291, 630, 32, 21945, 280, 12441, 4359, 15395, 26, 1163, 30, 1665, 27, 284, 665, 894, 81, 465, 26, 784, 711, 291, 630, 32, 6549, 26, 6139, 4359, 15395, 27, 284, 477, 1945, 81, 2585, 81, 325, 81, 39238, 331, 2323, 36, 81, 297, 81, 7230, 284, 477, 2675, 32, 1473, 26, 6139, 4359, 15395, 30, 7610, 371, 81, 5136, 81, 1170, 81, 4603, 683, 284, 477, 2675, 32, 1473, 26, 6139, 4359, 15395, 30, 330, 7211, 683, 284, 665, 894, 81, 1536, 26, 784, 30, 6672, 30, 617, 371, 81, 5136, 81, 1170, 81, 4603, 711, 291, 617, 371, 81, 5136, 81, 1170, 81, 4603, 32, 601, 81, 853, 280, 41449, 3986, 370, 225, 41, 2177, 291, 630, 32, 21945, 32, 6174, 346, 291, 617, 371, 81, 5136, 81, 1170, 81, 4603, 32, 862, 81, 10910, 81, 1793, 26, 324, 330, 5007, 370, 1802, 39, 38, 37, 36, 30, 324, 330, 12243, 370, 324, 330, 12243, 370, 324, 330, 12243, 370, 324, 7610, 12243, 370, 324, 330, 1212, 428, 34, 31, 43, 6155, 429, 19450, 50, 5007, 370, 291, 829, 291, 630, 32, 862, 25642, 26, 7211, 30, 330, 3986, 370, 225, 41, 27, 284, 477, 1945, 81, 2585, 81, 325, 81, 39238, 331, 2323, 36, 81, 297, 81, 7230, 284, 477, 2675, 32, 1473, 26, 6139, 4359, 15395, 30, 7610, 371, 81, 5136, 81, 1170, 81, 4603, 683, 284, 477, 2675, 32, 1473, 26, 6139, 4359, 15395, 30, 330, 7211, 683, 284, 665, 894, 81, 12182, 26, 784, 30, 6672, 30, 617, 371, 81, 5136, 81, 1170, 81, 4603, 711, 291, 665, 5209, 81, 7469, 26, 2035, 30, 2601, 30, 1256, 30, 26355, 30, 5439, 4359, 81, 1199, 30, 5439, 4359, 81, 3968, 30, 1541, 711, 324, 415, 308, 2003, 4359, 81, 1199, 30, 5439, 4359, 81, 3968, 27, 610, 2726, 12243, 370, 7610, 12243, 7831, 400, 442, 41449, 3986, 370, 225, 41, 2177, 324, 4348, 308, 2003, 4359, 81, 1199, 30, 5439, 4359, 81, 3968, 27, 610, 2726, 605, 370, 7610, 605, 7831, 400, 442, 41449, 1632, 370, 225, 35, 38, 2177, 291, 617, 371, 81, 5136, 81, 1170, 81, 4603, 32, 2671, 81, 7469, 280, 5209, 81, 7469, 291, 1359, 280, 622, 81, 21945, 81, 1163, 463, 6139, 4359, 15395, 370, 301, 324, 330, 12182, 950, 301, 400, 330, 4893, 950, 301, 528 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 7, 7, 7, 3, 3, 4, 4, 4, 4, 8, 8, 8, 7, 7, 2, 2, 4, 4, 5, 5, 7, 7, 7, 6, 6, 6, 2, 2, 3, 5, 5, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 8, 7, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 11, 11, 9, 10, 9, 5, 5, 9, 10, 8, 9, 8, 5, 5, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 8, 10, 10, 8, 9, 9, 9, 9, 8, 8, 8, 10, 10, 8, 8, 10, 10, 8, 8, 10, 10, 8, 8, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 5, 5, 8, 9, 9, 8, 9, 8, 8, 10, 10, 8, 9, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 6, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 7, 6, 6, 8, 11, 11, 11, 11, 10, 10, 11, 11, 11, 10, 9, 9, 12, 12, 10, 12, 12, 8, 8, 10, 14, 14, 12, 13, 12, 8, 8, 9, 12, 12, 12, 12, 11, 11, 12, 12, 12, 11, 10, 10, 13, 13, 11, 13, 13, 9, 9, 11, 15, 15, 13, 14, 14, 13, 5, 5, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 9, 10, 10, 13, 13, 11, 12, 12, 15, 15, 13, 14 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 3, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 2, 3, 3, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 9, 2, 2, 11, 11, 11, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 3, 3, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 3, 1, 0, 0, 4, 1, 1, 1, 1, 0, 0, 3, 3, 3, 0, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 2, 2, 1, 2, 1, 2 ]
[ 465, 42406, 203, 1070, 8206, 13835, 32, 28783, 1188, 30633, 203, 1070, 7120, 906, 2371, 96, 32, 19681, 1188, 22337, 2059, 2214, 30, 22337, 2059, 5506, 30, 14884, 3951, 203, 823, 7181, 10332, 2885, 2059, 5506, 26, 19443, 2059, 5506, 711, 664, 665, 544, 42716, 26, 784, 30, 19494, 711, 397, 630, 32, 5567, 36, 39, 40, 280, 42406, 32, 5567, 36, 39, 40, 346, 664, 665, 544, 1175, 2136, 26, 784, 30, 3118, 30, 5215, 711, 397, 630, 32, 5567, 36, 39, 40, 32, 1877, 26, 466, 26, 1744, 490, 397, 19272, 280, 630, 32, 5567, 36, 39, 40, 32, 6949, 13995, 346, 397, 630, 32, 19722, 26, 13995, 27, 397, 1459, 313, 10470, 19272, 436, 3118, 44, 904, 101, 20, 904, 19272, 664, 665, 544, 30662, 26, 784, 711, 397, 3097, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 664, 7763, 280, 22337, 2059, 2214, 440, 3604, 555, 5007, 44, 43, 34, 34, 34, 657, 664, 7763, 32, 5721, 280, 7181, 10332, 2885, 2059, 5506, 664, 14884, 3951, 26, 5792, 27, 664, 30633, 32, 1945, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 9, 9, 9, 9, 7, 8, 7, 9, 9, 10, 9, 4, 4, 6, 6, 9, 10, 10, 10, 10, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 6, 5, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 3, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 2, 2, 2, 2, 3, 3, 0, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 25312, 834, 32, 47650, 1188, 5564, 48220, 30, 30784, 203, 465, 1133, 203, 465, 5741, 203, 726, 527, 7146, 280, 301, 284, 330, 9213, 81, 21066, 32, 8098, 13543, 27790, 950, 5053, 8592, 950, 5564, 48220, 26, 19880, 1057, 1958, 35, 683, 835, 284, 330, 9213, 81, 15691, 32, 8098, 13543, 20378, 950, 5053, 8592, 950, 5564, 48220, 26, 19880, 1057, 1958, 35, 683, 835, 284, 330, 839, 1142, 5538, 81, 9404, 32, 8098, 4349, 1142, 5538, 39175, 950, 5053, 8592, 950, 5564, 48220, 26, 19880, 1057, 1958, 35, 683, 835, 284, 330, 3209, 29727, 32, 8098, 5560, 29727, 950, 5053, 8592, 950, 5564, 48220, 26, 19880, 1057, 1958, 35, 683, 835, 284, 330, 5066, 36, 10357, 32, 8098, 4976, 36, 10357, 950, 5053, 8592, 950, 5564, 48220, 26, 19880, 1057, 1958, 35, 683, 835, 203, 111, 203, 68, 1319, 5670, 11618, 280, 301, 203, 202, 3464, 99, 1786, 950, 330, 5007, 370, 203, 202, 3464, 99, 496, 950, 330, 17020, 370, 203, 202, 3464, 99, 2895, 950, 330, 17020, 370, 203, 202, 3464, 99, 625, 950, 225, 39, 40, 41, 36, 30, 203, 202, 25, 4792, 11431, 950, 330, 23720, 370, 203, 202, 25, 4792, 3926, 950, 330, 8701, 589, 32, 4792, 25, 203, 111, 203, 940, 280, 301, 203, 202, 1182, 265, 5232, 950, 2107, 525, 555, 5007, 44, 43, 36, 34, 34, 785, 203, 111, 203, 15979, 280, 301, 284, 330, 1536, 18218, 950, 330, 15689, 370, 203, 111, 203, 3602, 32384, 280, 301, 284, 330, 1648, 950, 225, 35, 30, 284, 330, 5820, 81, 12724, 81, 751, 7983, 950, 2933, 30, 284, 330, 1643, 5725, 950, 301, 291, 330, 6656, 950, 301, 324, 330, 1643, 950, 6611, 26, 2649, 426, 27, 101, 18147, 1436, 27, 101, 370, 324, 330, 770, 3972, 950, 6611, 107, 904, 84, 904, 86, 30, 904, 58, 6069, 63, 6069, 69, 370, 291, 801, 291, 330, 9138, 950, 301, 324, 330, 1643, 950, 6611, 26, 302, 27749, 27, 101, 18025, 26, 2649, 426, 27, 101, 79, 18147, 426, 27, 101, 18147, 3607, 27, 101, 6069, 26, 12300, 27, 86, 44, 18147, 1436, 27, 101, 25, 291, 320, 284, 801, 284, 330, 14458, 950, 301, 291, 330, 4466, 950, 301, 324, 330, 2649, 950, 330, 2897, 370, 324, 330, 823, 950, 330, 7490, 32, 1862, 1972, 370, 324, 330, 14548, 950, 330, 6656, 25, 291, 801, 291, 330, 3308, 834, 950, 301, 324, 330, 2649, 950, 330, 2897, 370, 324, 330, 823, 950, 330, 7490, 32, 14458, 32, 6726, 1741, 974, 1972, 370, 324, 330, 3607, 950, 330, 3308, 834, 32, 751, 370, 324, 330, 14548, 950, 330, 9138, 370, 324, 330, 1449, 3644, 950, 225, 35, 34, 36, 38, 319, 225, 35, 34, 36, 38, 319, 225, 35, 34, 34, 30, 16189, 801, 284, 801, 284, 330, 751, 7983, 950, 301, 291, 330, 3308, 834, 950, 301, 324, 330, 14458, 950, 2107, 3308, 834, 370, 330, 4466, 2188, 324, 330, 2649, 950, 330, 2897, 370, 291, 801, 284, 320, 203, 111, 203, 7490, 32, 8736, 32, 13956, 280, 1133, 32, 13945, 1003, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 8, 6, 8, 8, 10, 9, 11, 11, 11, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 8, 6, 8, 8, 10, 9, 11, 11, 11, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 8, 6, 8, 8, 10, 9, 11, 11, 11, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 8, 8, 6, 8, 8, 10, 9, 11, 11, 11, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 8, 6, 8, 8, 10, 9, 11, 11, 11, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 0, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 0, 3, 2, 2, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 6, 4, 5, 5, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 8, 8, 6, 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, 7, 7, 5, 5, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 5, 5, 8, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 8, 11, 11, 11, 11, 10, 10, 11, 11, 11, 11, 9, 9, 10, 10, 10, 7, 7, 7, 5, 5, 3, 3, 6, 6, 6, 4, 5, 5, 8, 8, 8, 6, 7, 7, 10, 10, 8, 11, 11, 11, 9, 11, 11, 7, 7, 10, 10, 8, 10, 10, 7, 7, 5, 5, 3, 3, 0, 5, 4, 5, 3, 4, 2, 2, 3, 4, 4, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 7, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 3, 1, 2, 2, 2, 0, 1, 1, 2, 5, 1, 2, 2, 2, 0, 1, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 9, 1, 2, 2, 2, 0, 1, 1, 2, 11, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 2, 5, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 2, 2, 2, 1, 1, 2, 9, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 9, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0 ]
[ 1070, 638, 6474, 81, 1167, 1188, 319, 203, 1070, 638, 1294, 81, 5937, 1188, 319, 203, 1070, 638, 37015, 1188, 319, 203, 1070, 5592, 32, 4722, 32, 887, 314, 418, 1188, 3185, 30, 6211, 203, 465, 2322, 32, 983, 203, 6191, 81, 4530, 280, 225, 35, 32, 34, 203, 823, 3383, 44, 334, 3219, 81, 2795, 280, 1665, 334, 5814, 280, 1665, 334, 21025, 280, 2149, 334, 10128, 761, 280, 1665, 334, 4588, 280, 3177, 334, 477, 17614, 334, 665, 739, 3529, 26, 6933, 30, 4588, 47, 2700, 711, 284, 9011, 32, 2811, 280, 4588, 334, 477, 17614, 334, 665, 739, 15434, 974, 26, 6933, 30, 803, 711, 284, 16289, 15434, 32, 470, 974, 26, 761, 27, 284, 10128, 761, 280, 803, 334, 477, 17614, 334, 665, 30304, 26, 6933, 30, 10128, 1063, 47, 2521, 711, 284, 736, 280, 506, 16621, 26, 6933, 32, 5937, 761, 30, 9011, 32, 2811, 27, 284, 415, 26, 1206, 736, 32, 1327, 711, 397, 3636, 3268, 440, 12014, 372, 30304, 322, 2702, 10128, 761, 32, 5294, 793, 312, 3488, 803, 7144, 284, 9011, 32, 470, 7866, 26, 575, 32, 1004, 81, 426, 27, 284, 9011, 32, 1664, 81, 2795, 280, 736, 32, 1664, 81, 2795, 284, 436, 1671, 81, 426, 30, 21025, 328, 736, 32, 21463, 32, 3028, 2262, 397, 436, 1600, 81, 426, 30, 3401, 328, 21025, 32, 3028, 2262, 291, 9011, 32, 470, 3457, 26, 1167, 81, 426, 30, 1600, 81, 426, 30, 3401, 27, 284, 415, 26, 5937, 1063, 438, 646, 1665, 711, 397, 415, 2322, 32, 983, 32, 4658, 26, 5937, 1063, 711, 291, 3636, 3268, 440, 1318, 3943, 4870, 3425, 5375, 7144, 397, 296, 280, 2156, 26, 5937, 1063, 30, 313, 105, 657, 397, 3693, 280, 6211, 346, 397, 1359, 280, 3693, 32, 7865, 440, 1163, 657, 397, 1359, 32, 10787, 440, 1648, 392, 596, 26, 6191, 81, 4530, 490, 397, 3693, 32, 10236, 26, 1163, 27, 397, 3219, 81, 2795, 280, 3693, 32, 7865, 440, 1664, 81, 2795, 657, 397, 3219, 81, 2795, 32, 10787, 440, 2468, 392, 313, 34, 106, 23, 34, 42, 106, 20, 904, 9011, 32, 1664, 81, 2795, 27, 397, 1359, 32, 10236, 26, 1664, 81, 2795, 27, 397, 5814, 280, 3693, 32, 7865, 440, 1004, 657, 397, 5814, 32, 10787, 440, 426, 392, 736, 32, 1004, 81, 426, 27, 397, 1359, 32, 10236, 26, 1004, 27, 397, 436, 1671, 81, 426, 30, 21025, 328, 736, 32, 21463, 32, 3028, 2262, 291, 1671, 280, 3693, 32, 7865, 440, 1167, 657, 291, 1671, 32, 10787, 440, 426, 392, 1671, 81, 426, 27, 291, 436, 1600, 81, 426, 30, 3401, 328, 21025, 32, 3028, 2262, 616, 1600, 280, 3693, 32, 7865, 440, 1495, 657, 616, 1600, 32, 10787, 440, 426, 392, 1600, 81, 426, 27, 616, 1600, 32, 10787, 440, 2881, 392, 596, 26, 2881, 490, 616, 1671, 32, 10236, 26, 1495, 27, 291, 1359, 32, 10236, 26, 1167, 27, 397, 5592, 280, 3693, 32, 452, 15917, 2593, 26, 9378, 347, 225, 7788, 397, 296, 32, 1821, 26, 2593, 27, 397, 296, 32, 2679, 346, 397, 1459, 313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 4, 4, 4, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 5, 4, 4, 2, 2, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 5, 6, 7, 5, 4, 4, 8, 9, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 9, 8, 9, 9, 8, 9, 8, 5, 5, 8, 7, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 7, 6, 7, 5, 4, 4, 7, 7, 9, 9, 11, 10, 11, 11, 9, 9, 10, 11, 9, 5, 5, 7, 8, 8, 9, 10, 7, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 8, 9, 9, 8, 10, 9, 10, 10, 10, 8, 5, 5, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 5, 5, 6, 8, 8, 7, 7, 6, 6, 9, 10, 8, 9, 8, 6, 6, 8, 10, 10, 9, 9, 8, 8, 10, 11, 10, 8, 8, 12, 13, 13, 12, 13, 13, 13, 12, 12, 13, 13, 12, 12, 12, 5, 5, 7, 9, 9, 8, 8, 8, 7, 6, 6, 8, 11, 12, 10, 11, 10, 11, 11, 10, 8, 8, 10, 12, 14, 14, 14, 14, 14, 14, 7, 7, 9, 9, 11, 12, 12, 11, 11, 13, 13, 7, 7, 9, 9, 11, 7, 7, 9, 9, 11, 12, 11, 13, 13, 7, 7, 10, 11, 10, 12, 12, 10, 12, 13, 13, 13, 12, 7, 7, 10, 11, 10, 11, 10, 7, 7, 10, 10, 9, 9, 11, 12, 11, 13, 13, 13, 13, 7, 7, 11, 11, 10, 11, 10, 12, 12, 10, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 10, 7, 7, 10, 11, 10, 11, 11, 11, 10, 7, 7, 9, 9, 11, 12, 11, 13, 13, 7, 7, 10, 11, 10, 12, 12, 10, 11, 12, 12, 12, 10, 7, 7, 10, 11, 10, 11, 10, 7, 7, 8, 10, 10, 9, 9, 8, 8, 11, 12, 10, 11, 10, 8, 8, 11, 11, 13, 14, 13, 15, 15, 9, 9, 12, 13, 12, 14, 14, 12, 13, 13, 12, 9, 9, 10, 12, 12, 11, 11, 10, 10, 12, 13, 12, 10, 10, 13, 13, 15, 16, 15, 17, 17, 11, 11, 14, 15, 14, 16, 16, 14, 15, 15, 14, 11, 11, 14, 15, 14, 16, 16, 14, 16, 17, 16, 11, 11, 14, 15, 14, 15, 14, 9, 9, 12, 13, 12, 13, 12, 7, 7, 9, 9, 11, 12, 12, 12, 11, 13, 12, 14, 14, 7, 7, 10, 11, 10, 11, 10, 7, 7, 10, 11, 10, 7, 7, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 3, 3, 0, 4, 4, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 1, 5, 5, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 2, 0, 0, 3, 3, 1, 6, 6, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 3, 3, 1, 7, 7, 1, 2, 1, 2, 2, 0, 3, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, 0, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 5, 5, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 3, 3, 0, 0, 0, 2, 1, 1, 2, 3, 3, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 2, 3, 3, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 12, 0, 0, 1, 1, 12, 12, 0, 2, 0, 2, 1, 12, 12, 0, 0, 0, 2, 1, 1, 2, 5, 5, 0, 2, 1, 1, 2, 1, 3, 3, 1, 5, 5, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 5, 5, 0, 2, 1, 1, 2, 1, 3, 3, 1, 5, 5, 0, 2, 1, 1, 2, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 16 ]
[ 465, 316, 203, 465, 2361, 203, 1070, 1695, 40, 38, 1188, 323, 40, 38, 4434, 203, 465, 309, 1226, 864, 704, 203, 1070, 309, 1226, 864, 704, 32, 13606, 32, 9947, 1188, 12671, 1486, 203, 823, 3556, 1703, 2554, 26, 4007, 1486, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3408, 47, 2521, 30, 952, 47, 2521, 30, 3882, 47, 2521, 30, 3115, 81, 965, 47, 2521, 711, 4456, 2599, 26, 1776, 1703, 2554, 30, 630, 14585, 1664, 25300, 1776, 1703, 370, 3408, 30, 952, 30, 3882, 27, 291, 630, 32, 2988, 81, 965, 280, 309, 1226, 864, 704, 32, 37954, 10519, 81, 19163, 81, 2413, 415, 3115, 81, 965, 438, 1665, 813, 3115, 81, 965, 291, 415, 630, 32, 2988, 81, 965, 44, 324, 630, 32, 965, 280, 630, 32, 2035, 474, 330, 8358, 25, 291, 813, 44, 324, 630, 32, 965, 280, 630, 32, 2035, 474, 330, 45719, 33, 8358, 25, 3701, 665, 617, 371, 81, 2393, 26, 784, 711, 291, 2364, 81, 605, 280, 2361, 32, 16958, 14178, 1959, 950, 330, 2848, 31, 371, 370, 1748, 291, 1596, 44, 4288, 630, 32, 1986, 280, 630, 32, 2848, 32, 1526, 26, 784, 32, 965, 30, 706, 47, 1526, 81, 605, 32, 4434, 463, 3310, 31, 42, 2847, 324, 630, 32, 2393, 280, 316, 32, 1903, 463, 74, 31, 1776, 1703, 31, 3135, 31, 606, 3491, 101, 28, 4987, 105, 29, 7243, 630, 32, 1986, 32, 878, 547, 1363, 26, 35, 27, 291, 2940, 44, 324, 442, 1665, 41690, 630, 32, 2848, 32, 5078, 32, 1877, 14178, 106, 31, 45719, 31, 2848, 31, 314, 950, 630, 32, 2393, 1748, 291, 2364, 81, 605, 280, 2361, 32, 16958, 14178, 8299, 950, 6663, 1378, 330, 1959, 950, 330, 2848, 31, 371, 370, 1378, 1790, 29852, 630, 1114, 1357, 26, 1959, 1057, 1526, 370, 706, 47, 1526, 81, 605, 27, 2407, 291, 442, 630, 32, 2393, 647, 284, 665, 617, 669, 81, 30387, 81, 3423, 26, 784, 30, 1056, 711, 291, 4209, 280, 301, 330, 3607, 950, 1056, 32, 965, 30, 2855, 330, 34396, 950, 225, 35, 415, 309, 1226, 864, 704, 32, 37954, 10519, 81, 9607, 9208, 813, 225, 34, 30, 2855, 330, 4984, 31, 1515, 950, 309, 1226, 864, 704, 32, 37954, 10519, 81, 4065, 2855, 320, 291, 2364, 81, 605, 280, 2361, 32, 16958, 1371, 330, 8299, 950, 4209, 30, 768, 330, 1959, 950, 330, 30387, 31, 669, 370, 768, 1790, 20216, 630, 1114, 1357, 26, 1959, 1057, 1526, 370, 706, 47, 1526, 81, 605, 27, 291, 442, 630, 32, 1986, 32, 1260, 710, 1267, 785, 610, 313, 3127, 20, 284, 665, 617, 669, 81, 30387, 81, 761, 26, 784, 30, 1056, 711, 291, 4209, 280, 301, 330, 2559, 504, 579, 950, 323, 40, 38, 4434, 26, 1267, 32, 1286, 471, 2855, 330, 34396, 950, 225, 35, 415, 309, 1226, 864, 704, 32, 37954, 10519, 81, 9607, 9208, 813, 225, 34, 30, 2855, 330, 4984, 31, 1515, 950, 309, 1226, 864, 704, 32, 37954, 10519, 81, 4065, 2855, 320, 20216, 2364, 81, 605, 280, 2361, 32, 16958, 14178, 8299, 950, 4209 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 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, 9, 10, 10, 10, 9, 9, 9, 8, 8, 9, 9, 9, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 8, 7, 7, 8, 8, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 10, 8, 8, 10, 11, 9, 9, 11, 11, 5, 5, 6, 6, 6, 10, 11, 9, 9, 11, 12, 10, 10, 12, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 8, 12, 12, 10, 12, 12, 12, 12, 9, 4, 4, 5, 5, 5, 9, 10, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 10, 10, 11, 14, 14, 14, 13, 14, 13, 15, 15, 15, 15, 6, 6, 9, 10, 8, 8, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 14, 15, 13, 14, 12, 11, 10, 11, 10, 5, 5, 6, 6, 6, 8, 4, 4, 9, 10, 8, 9, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 9, 10, 11, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 12, 12, 10, 9, 9, 12, 12, 10, 12, 12, 12, 12, 9, 9, 4, 4, 7, 8, 7, 9, 8, 10, 10, 7, 8, 9, 9, 9, 7, 4, 4, 4, 5, 6, 7, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 10, 10, 8, 9, 10, 7, 7, 7, 10, 10, 8, 10, 9, 9, 11, 11, 11, 10, 11, 11, 11, 11, 11, 9, 9, 10, 7, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 9, 10, 10, 10, 10, 7, 7, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 12, 12, 10, 9, 9, 9, 12, 12, 10, 12, 12, 12, 12, 9, 9, 4, 4, 7, 8, 7, 9, 8, 10, 10, 7, 8, 9, 9, 9, 7, 4, 4, 5, 9, 10, 8, 9, 7, 9, 9, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 12, 11, 12, 10, 7, 7, 10, 10, 8, 10, 9, 9, 11, 11, 11, 10, 11, 11, 11, 11, 11, 9, 9, 10, 7, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 9, 10, 10, 10, 10, 7, 7, 4, 4, 7, 7, 6, 6, 8, 9, 8, 12, 12, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 1, 2, 1, 1, 2, 5, 5, 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, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 4, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 2, 1, 2, 1, 1, 1, 1, 1, 3, 3, 3, 0, 4, 4, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 4, 5, 1, 2, 4, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 1, 1, 1, 2, 5, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 3, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 3, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 1, 1, 1, 2, 5, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 34, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 2156, 32781, 81, 4652, 203, 2116, 44, 313, 11609, 22567, 498, 642, 266, 11931, 87, 445, 4731, 203, 1648, 81, 11043, 44, 313, 35, 32, 35, 20, 203, 4021, 81, 2310, 44, 31580, 7599, 544, 3927, 14954, 32, 203, 2310, 44, 284, 429, 31580, 7599, 544, 3927, 14954, 1471, 322, 12870, 8684, 32, 203, 15965, 44, 428, 313, 2958, 2377, 225, 36, 32, 39, 20, 1481, 203, 2184, 44, 284, 636, 44, 291, 2129, 44, 861, 291, 3048, 44, 291, 429, 3270, 432, 322, 2652, 32, 284, 1603, 44, 291, 2129, 44, 861, 291, 16682, 44, 428, 5024, 30, 6615, 30, 40118, 1481, 291, 3048, 44, 616, 429, 390, 26, 2689, 27, 1098, 1930, 3654, 322, 2652, 438, 6713, 32, 324, 390, 26, 5323, 27, 1098, 1930, 3654, 322, 6615, 1503, 432, 322, 2652, 438, 6713, 32, 324, 390, 26, 3596, 304, 27, 1098, 1930, 3654, 322, 3191, 2652, 438, 646, 6713, 32, 284, 1968, 44, 291, 2129, 44, 901, 291, 16682, 44, 428, 9155, 30, 1289, 1481, 291, 1244, 44, 1289, 291, 3048, 44, 616, 429, 5238, 322, 2652, 645, 1914, 4174, 432, 24830, 461, 18121, 324, 312, 5298, 32, 33242, 688, 322, 2601, 1914, 4345, 438, 3425, 6713, 32, 324, 42731, 13963, 461, 37890, 322, 330, 2602, 11170, 25, 2652, 30, 415, 561, 438, 324, 646, 3425, 6713, 32, 291, 1503, 81, 11043, 44, 313, 36, 32, 35, 20, 284, 14844, 81, 1515, 44, 291, 2129, 44, 901, 291, 1244, 44, 517, 3381, 33, 11170, 291, 3048, 44, 616, 429, 5076, 1654, 328, 16579, 623, 322, 330, 1832, 25, 2470, 30, 6972, 37599, 324, 322, 1244, 14844, 1914, 3362, 32, 291, 1503, 81, 11043, 44, 313, 36, 32, 35, 20, 284, 5063, 44, 291, 2129, 44, 901, 291, 16682, 44, 428, 9155, 30, 1289, 1481, 291, 1244, 44, 1289, 291, 3048, 44, 616, 429, 5076, 13284, 556, 15255, 7599, 30, 3066, 322, 6717, 3488, 324, 803, 26, 101, 27, 328, 322, 3610, 7599, 1510, 884, 30395, 623, 477, 7615, 328, 324, 322, 36435, 31, 668, 32, 291, 1503, 81, 11043, 44, 313, 36, 32, 37, 20, 284, 8271, 44, 291, 2129, 44, 901, 291, 16682, 44, 428, 9155, 30, 1289, 1481, 291, 1244, 44, 1289, 291, 3048, 44, 616, 429, 16695, 556, 3066, 7599, 16915, 45, 745, 646, 41569, 623, 19358, 101, 324, 2670, 15255, 4302, 2276, 32, 291, 1503, 81, 11043, 44, 313, 36, 32, 37, 20, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 6400, 3654, 310, 1110, 438, 6713, 203, 31, 2156, 32781, 81, 4652, 44, 284, 636, 44, 310, 1110, 284, 1603, 44, 5024, 203, 21, 6400, 3654, 310, 1110, 438, 322, 6615, 1503, 203, 31, 2156, 32781, 81, 4652, 44, 284, 636, 44, 310, 1110, 284, 1603, 44, 6615, 203, 21, 6400, 3654, 310, 1110, 438, 646, 6713, 203, 31, 2156, 32781, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 505, 1427, 505, 280, 1524, 203, 4679, 30675, 32, 978, 769, 894, 15684, 436, 570, 16821, 3312, 32, 203, 2993, 203, 465, 2322, 203, 465, 2919, 2208, 203, 465, 16539, 203, 465, 5237, 203, 823, 5718, 7981, 26, 1473, 711, 334, 9541, 280, 2933, 334, 4523, 280, 2933, 334, 665, 1156, 1664, 3207, 784, 30, 9473, 19704, 711, 284, 630, 32, 18114, 81, 11702, 26, 11702, 27, 334, 665, 9257, 81, 11702, 26, 784, 30, 9473, 711, 284, 630, 1114, 18114, 81, 11702, 280, 9473, 334, 665, 9257, 26, 784, 30, 802, 30, 9473, 47, 2521, 711, 284, 415, 9473, 438, 1665, 44, 397, 9473, 280, 630, 1114, 18114, 81, 11702, 284, 415, 9473, 44, 397, 1596, 44, 291, 802, 280, 802, 904, 9473, 397, 2940, 12678, 44, 291, 3097, 284, 442, 802, 334, 665, 2503, 26, 784, 30, 2016, 30, 12532, 47, 2521, 30, 16154, 47, 2521, 711, 284, 415, 646, 630, 32, 10529, 44, 397, 442, 284, 415, 827, 26, 2501, 27, 610, 827, 4114, 711, 397, 3420, 280, 2016, 77, 34, 79, 397, 2181, 280, 2016, 77, 35, 10056, 397, 309, 280, 6611, 101, 7846, 101, 9905, 904, 308, 1298, 3667, 426, 7642, 5769, 5608, 2524, 26, 1110, 26, 13707, 30, 2181, 2610, 284, 415, 827, 26, 2501, 27, 610, 827, 7486, 711, 397, 309, 280, 330, 5608, 2524, 26, 2501, 27, 284, 813, 44, 397, 309, 280, 630, 32, 18114, 26, 2501, 27, 284, 415, 646, 309, 32, 20643, 9442, 96, 7831, 397, 309, 1454, 3228, 96, 25, 284, 5237, 32, 9362, 32, 1821, 26, 101, 27, 284, 5237, 32, 9362, 32, 9321, 346, 334, 665, 5742, 26, 784, 30, 2016, 30, 12532, 47, 2521, 30, 16154, 47, 2521, 711, 284, 415, 646, 630, 32, 2480, 44, 397, 442, 225, 34, 284, 415, 827, 26, 2501, 27, 610, 827, 463, 7831, 397, 2016, 280, 630, 32, 18114, 26, 2501, 27, 397, 4774, 1132, 280, 787, 1909, 32, 2998, 26, 2501, 27, 397, 415, 4774, 1132, 77, 34, 79, 610, 330, 2087, 950, 276, 2016, 280, 308, 500, 32, 31015, 21713, 474, 8825, 26, 3515, 1132, 77, 35, 19572, 284, 415, 827, 26, 2501, 27, 610, 827, 4114, 711, 397, 3420, 280, 2016, 77, 34, 79, 397, 2181, 280, 2016, 77, 35, 10056, 397, 442, 3420, 2740, 1132, 27, 284, 813, 44, 397, 415, 12532, 438, 5237, 32, 9362, 44, 291, 1361, 541, 280, 1665, 397, 813, 44, 291, 1361, 541, 280, 16539, 32, 18165, 397, 415, 16154, 438, 5237, 32, 8228, 44, 291, 1361, 530, 280, 1665, 397, 4348, 16154, 438, 1665, 44, 291, 1361, 530, 280, 16539, 32, 39790, 397, 813, 44, 291, 1361, 530, 280, 16539, 32, 18165, 397, 298, 280, 16539, 32, 45606, 26, 2501, 30, 6029, 9073, 4310, 3731, 32, 5134, 610, 330, 4463, 37, 36, 1425, 6029, 12532, 47, 1113, 541, 30, 6029, 16154, 47, 1113, 530, 27, 397, 298, 32, 1684, 346, 397, 415, 12532, 438, 1665, 44, 291, 630, 32, 9362, 280, 298, 32, 9362, 32, 850, 346, 397, 4348, 12532, 438, 646, 5237, 32, 9362, 44, 291, 12532, 32, 1821 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 9, 10, 10, 10, 4, 4, 5, 5, 5, 5, 7, 7, 7, 10, 10, 11, 11, 7, 7, 8, 8, 8, 8, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 5, 5, 8, 8, 9, 10, 9, 6, 6, 8, 8, 9, 11, 10, 6, 6, 8, 8, 11, 11, 11, 11, 9, 9, 12, 11, 12, 12, 10, 14, 13, 12, 14, 14, 15, 14, 14, 14, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 5, 5, 8, 8, 12, 11, 10, 11, 10, 5, 5, 6, 6, 6, 9, 9, 11, 12, 11, 12, 11, 4, 4, 5, 6, 8, 9, 8, 11, 10, 5, 5, 8, 8, 11, 10, 4, 4, 8, 9, 7, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 7, 8, 4, 4, 5, 8, 9, 8, 6, 6, 8, 10, 5, 5, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 8, 8, 11, 10, 11, 10, 11, 10, 6, 6, 7, 10, 9, 10, 9, 8, 8, 10, 10, 7, 7, 10, 10, 14, 13, 14, 12, 11, 11, 13, 15, 15, 14, 16, 15, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 5, 5, 8, 8, 9, 10, 9, 6, 6, 8, 8, 9, 11, 10, 6, 6, 7, 9, 11, 9, 5, 5, 6, 6, 6, 8, 9, 9, 10, 11, 8, 8, 8, 12, 11, 11, 8, 8, 9, 9, 9, 13, 12, 12, 13, 14, 7, 7, 8, 9, 9, 10, 11, 8, 8, 8, 12, 11, 11, 8, 8, 9, 10, 10, 9, 9, 9, 13, 12, 12, 13, 14, 8, 8, 9, 9, 9, 13, 12, 12, 13, 14, 7, 7, 9, 9, 11, 12, 11, 12, 11, 11, 11, 12, 16, 15, 16, 14, 14, 16, 16, 16, 16, 11, 11, 12, 13, 13, 11, 11, 11, 12, 13, 13, 11, 7, 7, 10, 11, 10, 7, 7, 8, 9, 9, 8, 8, 8, 12, 13, 11, 11, 14, 15, 13, 14, 13, 8, 8, 9, 10, 10, 10, 11, 12, 9, 9, 9, 13, 14 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 0, 4, 4, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 0, 4, 4, 4, 2, 1, 2, 2, 2, 2, 5, 2, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 3, 3, 3, 3, 4, 4, 2, 4, 4, 5, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 5, 5, 0, 1, 1, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 3, 3, 0, 0, 2, 0, 2, 3, 3, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 1, 0, 2, 1, 0, 2, 3, 3, 0, 0, 0, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 6, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 6, 6, 0, 1, 1, 2, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 3, 3, 0, 0, 2, 0, 2, 3, 3, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 4, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 1, 1, 5, 5, 5, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 2, 1, 1, 1, 7, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 4, 1, 1, 4, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 4, 4, 4, 1, 1, 1, 2, 2, 4, 4, 4, 0, 2 ]
[ 465, 316, 203, 465, 5237, 203, 823, 7474, 10075, 44, 203, 202, 589, 1156, 1664, 505, 308, 784, 711, 357, 202, 784, 32, 3647, 81, 14402, 280, 225, 34, 357, 202, 784, 32, 28103, 81, 1166, 81, 268, 280, 316, 32, 6993, 2726, 80, 4987, 102, 29, 110, 829, 683, 357, 202, 784, 32, 33542, 81, 1166, 81, 268, 280, 316, 32, 6993, 2726, 4987, 102, 29, 110, 829, 22, 683, 357, 202, 784, 32, 1234, 81, 15267, 81, 268, 280, 316, 32, 6993, 2884, 17453, 78, 101, 28, 1234, 78, 101, 29, 77, 83, 31, 15188, 31, 76, 34, 31, 43, 81, 6155, 5421, 440, 27, 203, 202, 589, 5093, 81, 14402, 299, 308, 784, 711, 357, 202, 601, 630, 32, 3647, 81, 14402, 203, 202, 589, 1156, 1851, 505, 308, 784, 30, 1628, 711, 357, 202, 928, 280, 630, 32, 1234, 81, 15267, 81, 268, 32, 1113, 308, 100, 10255, 35, 308, 370, 1628, 27, 357, 202, 928, 280, 630, 32, 2416, 81, 8352, 308, 928, 27, 357, 202, 325, 630, 32, 3647, 81, 14402, 610, 225, 34, 44, 355, 202, 928, 280, 316, 32, 1113, 2884, 26, 29342, 102, 3730, 306, 3424, 392, 2550, 1628, 27, 357, 202, 1676, 81, 3647, 280, 1628, 32, 1809, 2726, 1109, 683, 357, 202, 2679, 81, 3647, 280, 1628, 32, 1809, 2726, 1958, 683, 357, 202, 325, 630, 32, 3647, 81, 14402, 848, 225, 34, 461, 4230, 81, 3647, 333, 225, 34, 44, 355, 202, 601, 3330, 357, 202, 325, 2156, 81, 3647, 2377, 225, 34, 461, 4230, 81, 3647, 333, 225, 34, 44, 355, 202, 784, 32, 3647, 81, 14402, 1454, 225, 35, 355, 202, 601, 630, 32, 33542, 81, 1166, 81, 268, 32, 1113, 2726, 370, 1628, 13465, 1676, 81, 3647, 1130, 357, 202, 325, 2156, 81, 3647, 333, 225, 34, 461, 4230, 81, 3647, 2377, 225, 34, 44, 355, 202, 784, 32, 3647, 81, 14402, 5912, 225, 35, 355, 202, 601, 630, 32, 33542, 81, 1166, 81, 268, 32, 1113, 2726, 370, 1628, 428, 2679, 81, 3647, 474, 225, 36, 19572, 357, 202, 325, 2156, 81, 3647, 2377, 225, 34, 461, 4230, 81, 3647, 848, 225, 34, 461, 630, 32, 3647, 81, 14402, 610, 225, 34, 44, 355, 202, 22331, 280, 1628, 13465, 1676, 81, 3647, 79, 474, 313, 3647, 20, 474, 1628, 428, 2679, 81, 3647, 474, 225, 36, 10056, 355, 202, 601, 630, 3667, 1851, 505, 308, 22331, 27, 357, 202, 601, 1628, 203, 202, 589, 2164, 81, 8352, 308, 784, 30, 1628, 711, 357, 202, 979, 831, 328, 2155, 308, 34, 30, 2069, 308, 928, 8531, 355, 202, 325, 1628, 428, 93, 79, 610, 6113, 950, 603, 202, 1366, 280, 831, 603, 202, 979, 831, 328, 2155, 308, 1366, 474, 225, 35, 30, 2069, 308, 928, 8531, 577, 202, 325, 1628, 428, 93, 79, 610, 37316, 461, 1628, 428, 93, 429, 225, 35, 79, 863, 17276, 950, 1379, 202, 601, 1628, 13465, 1366, 474, 225, 35, 79, 474, 37316, 474, 630, 32, 2416, 81, 8352, 308, 928, 428, 93, 474, 225, 35, 19572, 357, 202, 601, 1628 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 3, 3, 4, 4, 3, 5, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 7, 10, 10, 11, 10, 10, 10, 10, 4, 4, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 7, 10, 11, 10, 10, 10, 10, 10, 4, 4, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 2, 2, 3, 3, 4, 4, 4, 3, 5, 4, 3, 3, 5, 5, 6, 7, 7, 7, 2, 2, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 3, 7, 6, 6, 9, 10, 10, 10, 10, 10, 8, 9, 7, 10, 10, 10, 10, 10, 8, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 7, 9, 8, 4, 4, 5, 5, 7, 8, 8, 8, 6, 6, 7, 5, 5, 5, 9, 8, 8, 10, 11, 9, 12, 12, 13, 12, 12, 12, 12, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 8, 9, 7, 10, 10, 4, 4, 7, 7, 7, 6, 6, 8, 9, 7, 10, 10, 4, 4, 5, 5, 8, 9, 9, 9, 7, 7, 8, 6, 6, 8, 8, 7, 7, 8, 5, 5, 5, 7, 7, 4, 4, 5, 5, 8, 8, 7, 7, 8, 6, 6, 8, 8, 7, 7, 8, 5, 5, 5, 10, 9, 10, 10, 10, 8, 8, 9, 6, 6, 7, 7, 10, 11, 11, 11, 11, 11, 9, 10, 8, 11, 9, 10, 12, 12, 12, 10, 4, 4, 5, 5, 8, 8, 7, 7, 8, 6, 6, 8, 8, 7, 7, 8, 5, 5, 5, 10, 9, 10, 10, 10, 8, 8, 9, 6, 6, 7, 7, 10, 11, 11, 11, 11, 11, 9, 10, 8, 11, 9, 10, 13, 13, 13, 12, 12, 13, 11, 4, 4, 5, 5, 9, 9, 8, 8, 9, 7, 7, 9, 9, 8, 8, 9, 6, 6, 8, 9, 9, 9, 7, 7, 8, 5, 5, 5, 9, 8, 8, 11, 13, 13, 13, 11, 10, 10, 12, 12, 9, 9, 10, 13, 13, 13, 12, 12, 13, 11, 6, 6, 7, 7, 9, 10, 10, 8, 10, 9, 4, 4, 5, 5, 2, 2, 3, 3, 4, 4, 3, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 6, 8, 7, 7, 8, 10, 9, 5, 5, 7, 7, 9, 10, 9, 8, 8, 10, 7, 7, 11, 10, 10, 8, 8, 9, 9, 9, 9, 10, 13, 12, 12, 13, 11, 11, 12, 14, 13, 9, 9, 11, 11, 14, 15, 14, 13, 13, 12, 12, 14, 16, 15, 15, 16, 14, 13, 13, 15, 11, 11, 13, 13, 16, 19, 18, 18, 19, 16, 15, 15, 14, 14, 16, 17, 17, 17, 15, 18, 17, 20, 19, 19, 20, 18, 4, 4, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 3, 3, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 4, 4, 5, 5, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 5, 5, 5, 0, 0, 4, 4, 6, 6, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 6, 6, 6, 0, 0, 2, 2, 2, 0, 0, 2, 3, 3, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 3, 1, 1, 1, 3, 4, 4, 7, 7, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 7, 7, 7, 0, 0, 2, 2, 2, 0, 0, 2, 3, 3, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 3, 0, 0, 0, 0, 0, 2, 2, 4, 4, 8, 8, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 8, 8, 8, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 3, 3, 1, 1, 0, 2, 2, 1, 1, 1, 4, 4, 9, 9, 3, 3, 3, 3, 1, 1, 3, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 3, 1, 1, 1, 3, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 4, 4, 1, 1 ]
[ 823, 14893, 15841, 26, 984, 711, 284, 3097, 203, 823, 10473, 6249, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3193, 711, 291, 630, 32, 2649, 280, 3193, 203, 823, 14893, 26, 1473, 711, 284, 3097, 203, 823, 16289, 882, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 786, 711, 291, 630, 32, 853, 280, 786, 203, 823, 2821, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 932, 30, 11470, 81, 681, 711, 291, 630, 32, 748, 280, 932, 291, 630, 32, 10122, 81, 681, 280, 11470, 81, 681, 284, 665, 316, 1172, 81, 17030, 26, 784, 30, 1539, 81, 1110, 711, 291, 281, 280, 630, 32, 748, 291, 415, 6937, 26, 85, 30, 308, 668, 30, 8825, 8531, 324, 630, 32, 748, 280, 308, 2342, 81, 1110, 32, 371, 26, 85, 77, 34, 614, 281, 77, 34, 5727, 281, 77, 35, 1130, 284, 665, 619, 81, 2602, 26, 784, 30, 2678, 96, 30, 3387, 711, 291, 415, 6937, 26, 784, 32, 748, 30, 308, 668, 30, 8825, 8531, 324, 932, 280, 6611, 101, 15231, 101, 25, 904, 8825, 2009, 24659, 26, 85, 27, 436, 281, 328, 630, 32, 748, 1130, 291, 813, 44, 324, 932, 280, 630, 32, 748, 291, 442, 3387, 32, 4156, 32, 770, 81, 28810, 81, 2602, 26, 784, 32, 10122, 81, 681, 30, 932, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 5, 7, 8, 7, 7, 9, 8, 8, 8, 5, 5, 9, 10, 8, 8, 12, 12, 12, 11, 12, 11, 13, 12, 13, 12, 11, 12, 13, 12, 9, 10, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 8, 9, 7, 7, 9, 8, 8, 8, 5, 5, 8, 8, 11, 11, 11, 11, 9, 9, 11, 14, 14, 15, 14, 12, 13, 13, 13, 14, 15, 12, 5, 5, 6, 6, 6, 9, 9, 10, 11, 4, 4, 5, 8, 9, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 4, 4, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 3, 2, 3, 2, 3, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 3, 2, 1, 0, 0, 4, 4, 4, 0, 0, 2, 2, 4, 4, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 42979, 81, 1407, 81, 14859, 280, 301, 284, 330, 5995, 57, 950, 330, 5995, 370, 284, 330, 726, 52, 950, 330, 726, 370, 284, 330, 26459, 950, 330, 30644, 370, 284, 330, 3349, 950, 330, 1192, 370, 284, 330, 5289, 950, 330, 14926, 370, 284, 330, 4516, 950, 330, 1614, 370, 284, 330, 5425, 950, 330, 783, 370, 284, 330, 14024, 950, 330, 2210, 370, 284, 330, 783, 71, 950, 330, 7278, 370, 284, 330, 39931, 950, 330, 1099, 370, 284, 330, 51, 2045, 950, 330, 10046, 370, 284, 330, 32984, 950, 330, 722, 370, 284, 330, 51, 2720, 950, 330, 14152, 370, 284, 330, 6794, 58, 950, 330, 11413, 370, 284, 330, 38978, 950, 330, 7644, 370, 284, 330, 13496, 950, 330, 5106, 370, 284, 330, 52, 1724, 950, 330, 10030, 370, 284, 330, 52, 2146, 950, 330, 4657, 370, 284, 330, 31790, 950, 330, 24967, 370, 284, 330, 7779, 950, 330, 12026, 370, 284, 330, 52, 22464, 950, 330, 9186, 370, 284, 330, 10030, 58, 950, 330, 6794, 370, 284, 330, 52, 7467, 950, 330, 31610, 370, 284, 330, 5153, 68, 950, 330, 6265, 370, 284, 330, 52, 1752, 950, 330, 3183, 370, 284, 330, 10829, 950, 330, 24993, 370, 284, 330, 4758, 51, 950, 330, 4758, 370, 284, 330, 4758, 64, 950, 330, 35940, 370, 284, 330, 4758, 71, 950, 330, 14282, 370, 284, 330, 52, 792, 950, 330, 15902, 370, 284, 330, 46814, 950, 330, 8709, 370, 284, 330, 4019, 56, 950, 330, 4929, 370, 284, 330, 19091, 950, 330, 44578, 370, 284, 330, 16819, 950, 330, 4019, 370, 284, 330, 53, 2730, 950, 330, 29550, 370, 284, 330, 53, 6990, 950, 330, 9421, 370, 284, 330, 37817, 950, 330, 3187, 370, 284, 330, 1405, 59, 950, 330, 1583, 370, 284, 330, 1405, 64, 950, 330, 9350, 370, 284, 330, 4246, 72, 950, 330, 4246, 370, 284, 330, 3103, 68, 950, 330, 3103, 370, 284, 330, 23067, 950, 330, 4766, 370, 284, 330, 1197, 61, 950, 330, 2183, 370, 284, 330, 4050, 950, 330, 1197, 370, 284, 330, 8670, 950, 330, 29760, 370, 284, 330, 2955, 72, 950, 330, 8155, 370, 284, 330, 28170, 950, 330, 3754, 370, 284, 330, 53, 1013, 950, 330, 5137, 370, 284, 330, 53, 2436, 950, 330, 12557, 370, 284, 330, 12721, 66, 950, 330, 12721, 370, 284, 330, 53, 2720, 950, 330, 29998, 370, 284, 330, 16043, 950, 330, 5602, 370, 284, 330, 28350, 59, 950, 330, 28350, 370, 284, 330, 14683, 950, 330, 10842, 370, 284, 330, 8854, 950, 330, 1680, 370, 284, 330, 6142, 71, 950, 330, 6142, 370, 284, 330, 55, 15052, 950, 330, 16961, 370, 284, 330, 527, 59, 950, 330, 527, 370, 284, 330, 940, 51, 950, 330, 6004, 370, 284, 330, 28113, 950, 330, 940, 370, 284, 330, 4128, 950, 330, 4153, 370, 284, 330, 20849, 950, 330, 1218, 370, 284, 330, 1818, 60, 950, 330, 35431, 370, 284, 330, 12611, 950, 330, 1818, 370, 284, 330, 4002, 51, 950, 330, 4002, 370, 284, 330, 47278, 950, 330, 15495, 370, 284, 330, 57, 1319, 950, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 4 ]
[ 0, 0, 0, 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, 2, 7, 1, 2, 2, 2, 1, 2, 9, 1, 2, 2, 2, 1, 2, 11, 1, 2, 2, 2, 1, 2, 13, 1, 2, 2, 2, 1, 2, 15, 1, 2, 2, 2, 1, 1, 2, 17, 1, 2, 2, 2, 1, 2, 19, 1, 2, 2, 2, 1, 1, 2, 21, 1, 2, 2, 2, 1, 2, 23, 1, 2, 2, 2, 1, 1, 2, 25, 1, 2, 2, 2, 1, 1, 2, 27, 1, 2, 2, 2, 1, 2, 29, 1, 2, 2, 2, 1, 2, 31, 1, 2, 2, 2, 1, 1, 2, 33, 1, 2, 2, 2, 1, 1, 2, 35, 1, 2, 2, 2, 1, 2, 37, 1, 2, 2, 2, 1, 2, 39, 1, 2, 2, 2, 1, 1, 2, 41, 1, 2, 2, 2, 1, 1, 2, 43, 1, 2, 2, 2, 1, 1, 2, 45, 1, 2, 2, 2, 1, 1, 2, 47, 1, 2, 2, 2, 1, 1, 2, 49, 1, 2, 2, 2, 1, 2, 51, 1, 2, 2, 2, 1, 1, 2, 53, 1, 2, 2, 2, 1, 1, 2, 55, 1, 2, 2, 2, 1, 1, 2, 57, 1, 2, 2, 2, 1, 1, 2, 59, 1, 2, 2, 2, 1, 2, 61, 1, 2, 2, 2, 1, 1, 2, 63, 1, 2, 2, 2, 1, 2, 65, 1, 2, 2, 2, 1, 2, 67, 1, 2, 2, 2, 1, 1, 2, 69, 1, 2, 2, 2, 1, 1, 2, 71, 1, 2, 2, 2, 1, 2, 73, 1, 2, 2, 2, 1, 1, 2, 75, 1, 2, 2, 2, 1, 1, 2, 77, 1, 2, 2, 2, 1, 1, 2, 79, 1, 2, 2, 2, 1, 1, 2, 81, 1, 2, 2, 2, 1, 2, 83, 1, 2, 2, 2, 1, 1, 2, 85, 1, 2, 2, 2, 1, 2, 87, 1, 2, 2, 2, 1, 2, 89, 1, 2, 2, 2, 1, 1, 2, 91, 1, 2, 2, 2, 1, 2, 93, 1, 2, 2, 2, 1, 1, 2, 95, 1, 2, 2, 2, 1, 1, 2, 97, 1, 2, 2, 2, 1, 1, 2, 99, 1, 2, 2, 2, 1, 1, 2, 101, 1, 2, 2, 2, 1, 2, 103, 1, 2, 2, 2, 1, 1, 2, 105, 1, 2, 2, 2, 1, 2, 107, 1, 2, 2, 2, 1, 2, 109, 1, 2, 2, 2, 1, 1, 2, 111, 1, 2, 2, 2, 1, 1, 2, 113, 1, 2, 2, 2, 1, 1, 2, 115, 1, 2, 2, 2, 1, 1, 2, 117, 1, 2, 2, 2, 1, 2, 119, 1, 2, 2, 2, 1, 2, 121, 1, 2, 2, 2, 1, 2, 123, 1, 2, 2, 2, 1, 1, 2, 125, 1, 2, 2, 2, 1, 2, 127, 1, 2, 2, 2, 1, 1, 2, 129, 1, 2, 2, 2, 1, 2, 131, 1, 2, 2, 2, 1, 1, 2, 133 ]
[ 465, 10020, 203, 465, 2322, 203, 465, 5237, 203, 1070, 11993, 1188, 1682, 203, 1070, 11993, 1188, 11406, 81, 6229, 1392, 203, 1070, 617, 12408, 1188, 1156, 1648, 505, 619, 1503, 203, 325, 11406, 81, 6229, 1392, 44, 284, 1188, 309, 27392, 32, 3164, 203, 3779, 280, 4939, 2296, 2524, 26, 1648, 32, 2998, 46661, 2867, 36, 1130, 203, 4846, 431, 542, 81, 3656, 81, 1174, 280, 313, 1170, 1855, 20, 203, 4846, 431, 542, 81, 681, 25335, 280, 313, 2310, 20, 203, 10425, 81, 1017, 81, 20940, 280, 225, 35, 203, 9081, 280, 428, 284, 313, 98, 5397, 101, 81, 26275, 81, 16479, 392, 284, 313, 978, 32725, 81, 12408, 392, 284, 313, 26275, 32, 407, 32, 4846, 431, 542, 392, 284, 313, 26275, 32, 407, 32, 33435, 378, 1059, 392, 284, 313, 26275, 32, 407, 32, 1146, 26275, 392, 284, 313, 26275, 32, 407, 32, 10425, 392, 284, 313, 26275, 32, 407, 32, 1071, 687, 392, 284, 313, 26275, 81, 17577, 81, 266, 392, 284, 313, 26275, 12023, 81, 2754, 97, 392, 203, 79, 203, 8881, 81, 983, 280, 3037, 81, 8881, 1446, 203, 1855, 81, 12420, 280, 4939, 9632, 20, 203, 2590, 81, 1427, 280, 313, 8078, 20, 203, 2250, 280, 313, 12408, 20, 203, 11794, 280, 313, 36, 34, 35, 39, 11084, 36, 34, 36, 35, 30, 420, 362, 873, 831, 268, 15254, 461, 13092, 31, 1902, 6498, 20, 203, 21, 261, 588, 262, 588, 225, 816, 837, 81, 15719, 280, 428, 284, 7286, 1832, 392, 284, 313, 36677, 36, 34, 32, 9632, 392, 284, 313, 858, 1109, 392, 284, 313, 1455, 22801, 392, 284, 11570, 3131, 295, 37208, 284, 313, 1958, 3131, 295, 37208, 284, 313, 1298, 1132, 32, 9632, 392, 284, 313, 5522, 32, 9632, 392, 284, 313, 2763, 33, 7001, 15576, 32, 9632, 392, 203, 79, 203, 21, 484, 16012, 81, 4298, 280, 313, 7538, 20, 203, 21, 225, 588, 225, 14712, 81, 1647, 81, 4243, 280, 3177, 203, 21, 261, 588, 533, 32725, 81, 1621, 280, 313, 26275, 20, 203, 21, 225, 588, 225, 44866, 1553, 81, 3617, 280, 428, 284, 313, 641, 555, 933, 32, 508, 33, 10337, 33, 10337, 33, 3006, 33, 2590, 33, 1427, 33, 3779, 33, 35, 32, 35, 40, 32, 34, 31, 8886, 32, 9632, 21, 890, 31, 286, 4677, 993, 392, 284, 313, 641, 555, 27146, 32, 14902, 32, 3785, 32, 508, 33, 18681, 11051, 33, 36, 34, 35, 41, 33, 34, 40, 33, 36, 42, 33, 4266, 31, 266, 31, 83, 31, 3209, 31, 15480, 31, 19355, 942, 10590, 284, 313, 525, 555, 978, 349, 388, 17402, 32, 1299, 33, 2846, 33, 12408, 31, 24259, 10590, 284, 540, 20, 641, 555, 933, 32, 508, 33, 12408, 31, 1902, 33, 12408, 33, 4476, 19323, 86, 32672, 284, 540, 20, 641, 555, 933, 32, 508, 33, 12408, 31, 1902, 33, 12408, 33, 3978, 19323, 86, 32672, 203, 79, 203, 21, 44866, 1553, 81, 17733, 280, 225, 39, 203, 21, 5237, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 21379, 14715, 16479, 2131, 203, 916, 81, 4661, 81, 983 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 4, 4, 4, 1, 2, 2, 4, 2, 2, 5, 5, 3, 3, 1, 2, 2, 3, 3, 3, 2, 2, 2, 4, 6, 5, 6, 1, 4, 3, 3, 7, 6, 5, 9, 8, 9, 8, 6, 8, 6, 1, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 1, 4, 4, 4, 4, 4, 4, 3, 3, 5, 5, 1, 4, 4, 4, 4, 4, 3, 3, 4, 1, 4, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 1, 4, 4, 4, 3, 3, 6, 6, 6, 1, 4, 4, 4, 3, 3, 5, 5, 1, 4, 4, 4, 3, 3, 5, 5, 1, 4, 3, 3, 5, 5, 1, 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, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 1, 1, 4, 4, 4, 1, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 3, 3, 0, 6, 6, 1, 1, 1, 6, 6, 6, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 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, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 26, 0, 27, 0, 28, 28, 28, 28, 28, 28, 28, 28, 28, 0, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 0, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 0, 31, 31, 31, 31, 31, 31, 31, 31, 31, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 36, 37, 37, 0, 38, 38, 38, 38, 38, 38, 38, 38, 0, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 5237, 203, 1070, 2016, 1188, 5718, 203, 1070, 5554, 81, 2501, 1188, 5575, 2019, 203, 823, 902, 1439, 26, 2019, 711, 334, 4942, 280, 2933, 334, 3049, 8104, 280, 313, 435, 1439, 2196, 19216, 544, 17135, 5573, 20, 334, 3049, 6772, 280, 1524, 203, 23, 15446, 301, 14776, 2250, 48, 37597, 523, 429, 91, 333, 2250, 48, 1179, 111, 203, 2993, 334, 3049, 3234, 280, 1524, 203, 21735, 15446, 25, 5251, 5554, 28789, 372, 5169, 2196, 3404, 328, 322, 1550, 8456, 5573, 372, 203, 1382, 24234, 432, 322, 17135, 8142, 30, 6364, 1412, 844, 1159, 5590, 16280, 328, 312, 8456, 203, 6586, 1273, 1849, 372, 26286, 332, 537, 17135, 3404, 313, 8491, 941, 550, 20, 3026, 32, 203, 2993, 334, 665, 617, 2031, 26, 784, 30, 298, 711, 284, 298, 32, 669, 81, 1762, 12605, 91, 370, 11363, 17107, 370, 400, 3466, 347, 17107, 392, 2125, 347, 2157, 81, 1508, 392, 400, 3049, 347, 17107, 28789, 308, 6270, 2074, 1755, 14451, 284, 298, 32, 669, 81, 1762, 12605, 88, 370, 11363, 5538, 31, 268, 1439, 370, 353, 3466, 1057, 5538, 81, 268, 1439, 370, 2125, 1057, 2157, 81, 1508, 370, 353, 3049, 1057, 6129, 769, 5538, 31, 268, 1439, 372, 5554, 28789, 683, 284, 298, 32, 669, 81, 1762, 12664, 1347, 31, 486, 370, 353, 3466, 1057, 1347, 81, 486, 370, 2125, 1057, 2157, 81, 1508, 370, 353, 3049, 1057, 6129, 769, 1347, 31, 486, 372, 5554, 28789, 683, 284, 298, 32, 669, 81, 1762, 12605, 99, 370, 11363, 22290, 370, 353, 3466, 1057, 22290, 370, 2125, 1057, 2157, 81, 1508, 370, 353, 3049, 1057, 6129, 769, 22290, 372, 5554, 28789, 683, 284, 298, 32, 669, 81, 1762, 12664, 33435, 448, 917, 370, 353, 3466, 1057, 33435, 448, 917, 370, 2125, 1057, 2157, 81, 1508, 370, 353, 3049, 1057, 6129, 769, 33435, 448, 917, 372, 5554, 28789, 683, 284, 298, 32, 669, 81, 1762, 12664, 29903, 370, 353, 3466, 1057, 29903, 370, 2125, 1057, 2157, 370, 34664, 1057, 3951, 370, 353, 3049, 1057, 6129, 769, 29903, 372, 5554, 28789, 683, 284, 298, 32, 669, 81, 1762, 12664, 2837, 31, 23392, 370, 353, 3466, 1057, 2837, 81, 23392, 370, 2125, 1057, 2157, 81, 1508, 370, 353, 3049, 1057, 501, 917, 2196, 23101, 2670, 8049, 683, 284, 298, 32, 669, 81, 1762, 12605, 95, 370, 11363, 8544, 31, 10785, 370, 353, 3466, 1057, 8544, 81, 10785, 370, 2125, 1057, 2157, 81, 1508, 370, 353, 3049, 1057, 435, 1439, 14807, 322, 11607, 1503, 4174, 432, 17135, 330, 2855, 330, 6896, 32, 225, 1348, 15761, 372, 1930, 3654, 322, 2196, 4345, 45055, 330, 2855, 330, 23054, 415, 844, 12916, 48627, 372, 312, 11607, 11834, 334, 665, 13005, 26, 784, 30, 2919, 30, 2181, 711, 284, 1169, 81, 7297, 280, 630, 32, 936, 10937, 26, 1132, 27, 284, 1591, 81, 2250, 280, 2069, 26, 464, 81, 7297, 27, 610, 225, 35, 284, 415, 2919, 32, 17107, 461, 646, 1591, 81, 2250, 44, 397, 1459, 463, 731, 44, 18978, 28789, 646, 5420, 623, 4609, 8528, 370, 324, 803 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 7, 8, 10, 10, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 9, 7, 7, 8, 10, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 7, 8, 10, 10, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 7, 8, 10, 10, 7, 8, 10, 10, 7, 8, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 7, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 7, 7, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 9, 10, 10, 10, 9, 7, 7, 8, 4, 4, 5, 7, 8, 6, 6, 7, 8, 8, 5, 5, 5, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 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, 2, 1, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 5, 1, 2, 1, 7, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 2, 1, 7, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 5, 1, 2, 1, 7, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 2, 1, 5, 1, 2, 1, 7, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 1, 7, 1, 1, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 1156, 9666, 505, 1188, 623, 81, 9849, 203, 465, 5237, 30, 2322, 30, 1133, 30, 16672, 30, 6234, 203, 465, 43008, 619, 7680, 203, 1070, 43008, 1188, 10702, 203, 465, 22045, 36, 203, 465, 14465, 203, 465, 36387, 37, 203, 465, 26790, 203, 1070, 26790, 32, 1237, 1188, 1420, 30, 5742, 30, 2196, 30, 4533, 30, 12798, 30, 9098, 30, 39789, 203, 1070, 26790, 32, 14663, 1188, 622, 30, 4162, 203, 1070, 26790, 32, 1819, 81, 35312, 1188, 9073, 81, 2121, 203, 3922, 280, 16672, 32, 26633, 26, 2310, 1057, 3313, 101, 13486, 36, 4904, 436, 6325, 11834, 203, 3922, 32, 669, 81, 2669, 463, 1163, 81, 761, 370, 528, 3049, 1057, 6045, 3488, 803, 436, 9045, 2145, 4904, 683, 203, 3922, 32, 669, 81, 2669, 463, 678, 81, 761, 370, 528, 3049, 1057, 678, 803, 11304, 678, 426, 4503, 15963, 27, 436, 9045, 683, 203, 3922, 32, 669, 81, 2669, 463, 3955, 81, 3959, 370, 528, 3049, 1057, 3959, 436, 9045, 308, 91, 32, 87, 32, 619, 328, 19371, 3955, 33, 20680, 19188, 203, 3922, 32, 669, 81, 2669, 463, 858, 81, 1423, 370, 528, 1244, 1057, 858, 81, 14762, 11294, 81, 2837, 81, 6989, 2585, 81, 30049, 32, 615, 370, 528, 3049, 1057, 983, 432, 11759, 3261, 328, 372, 5625, 461, 1420, 683, 203, 3922, 32, 669, 81, 2669, 12664, 6426, 370, 528, 1244, 1057, 641, 555, 933, 32, 508, 33, 14762, 11294, 33, 14762, 11294, 32, 2912, 370, 528, 3049, 1057, 14762, 11294, 5554, 5867, 372, 793, 683, 203, 3922, 32, 669, 81, 2669, 12664, 6586, 370, 528, 1244, 1057, 112, 370, 528, 3049, 1057, 14762, 11294, 5554, 5573, 372, 22152, 683, 203, 3922, 32, 669, 81, 2669, 12664, 3978, 81, 1357, 370, 528, 1244, 1057, 112, 370, 528, 3049, 1057, 14762, 11294, 33, 14762, 11294, 5083, 1326, 372, 22152, 683, 203, 3922, 32, 669, 81, 2669, 12664, 6077, 81, 2590, 370, 528, 2125, 1057, 2157, 81, 1508, 370, 528, 3049, 347, 325, 739, 3991, 101, 2773, 1991, 6514, 5573, 432, 20465, 11294, 33, 14762, 11294, 657, 203, 3922, 32, 669, 81, 2669, 12664, 2853, 12182, 370, 528, 2125, 1057, 2157, 81, 1508, 370, 528, 3049, 347, 11676, 1330, 17487, 13486, 36, 6942, 2685, 1420, 30, 6364, 436, 15066, 657, 203, 3922, 32, 669, 81, 2669, 12664, 3825, 81, 9060, 370, 528, 1244, 26409, 528, 3049, 347, 1786, 645, 1510, 372, 5083, 15133, 3621, 7599, 657, 203, 3922, 32, 669, 81, 2669, 12664, 14046, 713, 338, 493, 370, 528, 2125, 1057, 2157, 81, 1508, 370, 528, 3049, 347, 1409, 646, 11883, 312, 21308, 323, 34134, 2145, 3974, 657, 203, 3922, 32, 669, 81, 2669, 12664, 713, 338, 493, 2585, 370, 528, 2125, 1057, 2157, 81, 1508, 370, 528, 3049, 347, 2585, 1930, 312, 323, 34134, 2145, 657, 203, 3922, 32, 669, 81, 2669, 12664, 6579, 370, 528, 2125, 1057, 2157, 81, 1508, 370, 528, 3049, 347, 539, 14324, 1980, 3738, 372, 1420, 15162, 308, 101, 7757, 2625, 312, 16044, 30, 7801, 646, 16587, 561, 14451, 203, 573, 81, 1132 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 4, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 4, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 4, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 0, 9, 9, 1, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 10, 10, 1, 2, 10, 10, 10, 10, 0, 11, 11, 1, 2, 2, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 12643, 619, 6121, 203, 823, 40201, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1359, 81, 2067, 30, 17717, 81, 2067, 30, 4527, 81, 2067, 711, 291, 630, 32, 1163, 81, 2067, 280, 1359, 81, 2067, 291, 630, 32, 15210, 81, 2067, 280, 17717, 81, 2067, 291, 630, 32, 1040, 81, 2067, 280, 4527, 81, 2067, 284, 665, 2575, 26, 784, 711, 291, 8844, 280, 630, 32, 1163, 81, 2067, 32, 10454, 291, 630, 32, 1040, 81, 2067, 32, 1366, 346, 291, 706, 81, 88, 30, 11426, 81, 88, 30, 2287, 81, 88, 280, 630, 32, 761, 81, 20415, 346, 291, 2535, 280, 630, 32, 1676, 81, 1517, 81, 7572, 26, 1517, 81, 88, 27, 291, 767, 101, 81, 3607, 280, 630, 32, 1040, 81, 2067, 32, 371, 81, 8680, 81, 3607, 26, 10454, 27, 291, 767, 101, 81, 1479, 280, 630, 32, 850, 81, 761, 26, 605, 81, 88, 474, 767, 101, 81, 3607, 30, 2535, 27, 291, 5683, 81, 1479, 30, 909, 81, 1479, 30, 894, 81, 1479, 280, 630, 32, 2998, 81, 508, 101, 26, 508, 101, 81, 1479, 27, 291, 415, 630, 32, 1163, 81, 2067, 32, 17777, 81, 496, 81, 3631, 44, 324, 630, 32, 17777, 81, 496, 81, 3631, 26, 508, 101, 81, 1479, 30, 894, 81, 1479, 27, 291, 630, 32, 1821, 81, 8673, 101, 26, 695, 81, 1479, 30, 894, 81, 1479, 30, 11426, 81, 88, 27, 291, 630, 32, 1216, 81, 1113, 2021, 26, 3239, 81, 1479, 30, 909, 81, 1479, 30, 894, 81, 1479, 30, 22085, 47, 1586, 27, 291, 630, 32, 1040, 81, 2067, 32, 1366, 9442, 96, 6460, 739, 3491, 96, 370, 22085, 47, 1586, 27, 291, 630, 32, 15210, 81, 2067, 32, 1831, 26, 3239, 81, 1479, 30, 909, 81, 1479, 30, 343, 470, 1057, 695, 370, 22085, 47, 1586, 27, 291, 630, 32, 1040, 81, 2067, 32, 416, 463, 1003, 44, 5769, 22085, 47, 1586, 27, 291, 630, 32, 1040, 81, 2067, 32, 1366, 9442, 566, 445, 739, 3491, 96, 370, 22085, 47, 1586, 27, 291, 1169, 81, 3239, 81, 1479, 280, 5683, 81, 1479, 32, 2991, 346, 291, 415, 630, 32, 1163, 81, 2067, 32, 5266, 81, 3239, 44, 324, 1169, 81, 3239, 81, 1479, 280, 6121, 32, 7232, 2009, 3239, 81, 1479, 30, 909, 81, 1479, 1130, 291, 630, 32, 15210, 81, 2067, 32, 1831, 26, 464, 81, 3239, 81, 1479, 30, 894, 81, 1479, 30, 343, 470, 1057, 858, 370, 22085, 47, 1586, 27, 291, 630, 32, 1040, 81, 2067, 32, 416, 463, 1003, 44, 5769, 22085, 47, 1586, 27, 291, 630, 32, 1040, 81, 2067, 32, 416, 463, 2999, 16371, 1542, 1133, 44, 5769, 22085, 47, 1586, 27, 291, 630, 32, 1040, 81, 2067, 32, 2679, 81, 7572, 26, 1586, 27, 291, 442, 909, 81, 1479, 30, 894, 81, 1479, 284, 665, 803, 81, 20415, 26, 784, 711, 291, 4842, 81, 1515, 280, 630, 32, 1163, 81, 2067, 32, 552, 81, 1515, 291, 5880, 280, 630, 32, 1163, 81, 2067, 32, 4116, 291, 706, 81, 88, 280, 4842, 81, 1515 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 7, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 4, 4, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 9, 9, 10, 10, 10, 8, 8, 8, 4, 4, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 6, 6, 8, 9, 9, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 5, 7, 8, 8, 8, 6, 7, 7, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 10, 10, 9, 4, 4, 7, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 8, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 10, 9, 9, 9, 10, 9, 7, 8, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 8, 10, 10, 7, 8, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 7, 8, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 10, 9, 9, 9, 10, 9, 7, 8, 9, 7, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 8, 4, 4, 5, 7, 8, 8, 8, 6, 7, 7, 7, 5, 5, 5, 9, 9, 9, 9, 8, 8, 10, 11, 10, 12, 12, 12, 11, 11, 12, 12, 11, 4, 4, 8, 9, 9, 9, 7, 8, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 8, 10, 10, 7, 8, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 7, 8, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 5, 7, 7, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 7, 8, 8, 8, 4, 4, 6, 6, 8, 9, 9, 9, 7, 8, 4, 4, 7, 7, 6, 6, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 0, 0, 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, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 7, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 7, 7, 7, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 5, 1, 2, 1, 7, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 15, 0, 2, 2, 2, 1, 2, 2, 2, 15, 15, 15, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 5, 1, 2, 1, 7, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 20, 0, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0 ]
[ 465, 7138, 203, 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 9042, 12067, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 2304, 32, 18218, 1188, 2464, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 13141, 81, 2592, 463, 1174, 81, 1174, 5766, 370, 330, 770, 370, 330, 770, 81, 4524, 683, 291, 3082, 32, 669, 81, 2592, 463, 1174, 81, 1174, 5766, 370, 330, 770, 81, 6368, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 24174, 2837, 81, 2174, 47, 1815, 30, 1244, 47, 2174, 1026, 11771, 47, 1815, 471, 4986, 81, 1536, 47, 2700, 27, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 13141, 81, 2592, 463, 1174, 81, 1174, 5766, 370, 330, 770, 81, 4524, 370, 330, 770, 683, 291, 3082, 32, 2560, 81, 2592, 463, 1174, 81, 1174, 5766, 370, 330, 770, 81, 6368, 683, 284, 4549, 280, 301, 291, 330, 2468, 32, 7035, 950, 301, 324, 330, 4232, 950, 5053, 24576, 950, 313, 12605, 297, 81, 47896, 370, 330, 426, 683, 392, 330, 1473, 81, 426, 950, 330, 10914, 8885, 324, 330, 297, 81, 47896, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 39471, 370, 5518, 5053, 1536, 950, 330, 2700, 370, 330, 1199, 81, 1055, 950, 330, 1815, 45306, 324, 330, 297, 81, 17220, 81, 7035, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 39471, 370, 5518, 5053, 1536, 950, 330, 2700, 370, 330, 1199, 81, 1055, 950, 330, 1815, 45306, 324, 330, 9328, 81, 37, 35, 40, 40, 81, 35, 81, 83, 36, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 36, 370, 330, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 9328, 81, 37, 35, 40, 40, 81, 35, 81, 83, 37, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 37, 370, 330, 1693, 950, 330, 1815, 370, 330, 1199, 81, 1055, 950, 330, 1815, 45306, 324, 330, 9328, 81, 37, 35, 40, 40, 81, 35, 81, 10125, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 17991, 12470, 30400, 370, 5518, 5053, 1693, 950, 330, 1815, 370, 330, 1199, 81, 1055, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 35, 36, 42, 45306, 324, 330, 1216, 444, 81, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 35, 36, 42, 18143, 291, 801, 291, 330, 2393, 32, 1363, 950, 301, 324, 330, 4232, 950, 5053, 1473, 81, 426, 950, 330, 1564, 8885, 324, 330, 314, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 370, 5518, 5053, 4457, 81, 678, 950, 330, 1815, 45306, 324, 330, 426, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 10, 11, 9, 9, 10, 12, 12, 9, 10, 11, 9, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 2, 2, 4, 4, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 13, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 12, 12, 10, 12, 12, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 2, 1, 1, 2, 5, 5, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 3, 0, 1, 1, 5, 2, 1, 1, 0, 0, 7, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 5, 1, 2, 3, 1, 2, 5, 1, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 465, 29590, 203, 465, 15798, 203, 465, 6436, 203, 465, 663, 1352, 203, 1070, 663, 1352, 1188, 16601, 203, 1070, 663, 1352, 1188, 14999, 81, 1553, 203, 1070, 663, 1352, 1188, 7324, 203, 1070, 663, 1352, 32, 34243, 1188, 2065, 108, 203, 1070, 663, 1352, 1188, 6325, 203, 1070, 663, 1352, 32, 4266, 1188, 5601, 203, 1070, 663, 1352, 32, 4266, 1188, 3700, 203, 1070, 663, 1352, 32, 2304, 1188, 827, 81, 1553, 203, 589, 4479, 81, 3965, 26, 11368, 30, 6024, 711, 284, 442, 6436, 32, 3855, 32, 6386, 2740, 3229, 27, 2377, 12488, 203, 50, 4266, 32, 5609, 518, 2740, 4266, 32, 2445, 1371, 284, 330, 266, 81, 3229, 950, 10440, 37, 28020, 308, 37, 30, 225, 36, 30, 225, 36, 14155, 284, 330, 106, 81, 12010, 950, 428, 10337, 32, 1808, 35, 40, 30, 6436, 32, 1808, 37, 36, 30, 6436, 32, 1808, 40, 38, 614, 284, 330, 73, 81, 12010, 950, 428, 10337, 32, 1808, 35, 40, 30, 6436, 32, 1808, 37, 36, 30, 6436, 32, 1808, 40, 38, 614, 284, 330, 539, 81, 4432, 3767, 81, 3965, 950, 428, 1815, 30, 3177, 614, 203, 18364, 203, 823, 2108, 35316, 1639, 6243, 3517, 26, 18986, 32, 7233, 711, 284, 963, 81, 891, 280, 225, 36, 284, 12488, 280, 225, 34, 32, 39, 284, 665, 14553, 26, 784, 711, 291, 328, 81, 891, 280, 6436, 32, 8604, 26, 784, 32, 266, 81, 3229, 27, 291, 630, 32, 1204, 280, 7324, 32, 35316, 1639, 6243, 3517, 26, 324, 328, 81, 891, 30, 630, 32, 541, 81, 891, 30, 324, 2815, 73, 47, 380, 1352, 32, 4332, 9229, 32, 5947, 26, 35, 30, 630, 32, 73, 81, 12010, 471, 324, 2815, 81, 12810, 47, 380, 1352, 32, 4332, 9229, 32, 5947, 26, 35, 30, 630, 32, 106, 81, 12010, 490, 291, 630, 32, 1204, 32, 2827, 626, 2315, 101, 346, 291, 816, 81, 3229, 280, 308, 38, 21713, 474, 630, 32, 266, 81, 3229, 291, 630, 32, 106, 280, 6436, 32, 3855, 32, 10586, 3736, 35, 30, 225, 35, 30, 816, 81, 3229, 547, 15315, 26, 784, 32, 106, 81, 12010, 27, 291, 630, 32, 4679, 280, 6436, 32, 3855, 32, 10586, 26, 324, 429, 35, 30, 225, 35, 30, 308, 38, 30, 630, 32, 541, 81, 891, 3427, 15315, 26, 784, 32, 106, 81, 12010, 27, 291, 624, 280, 630, 32, 1204, 32, 73, 32, 605, 291, 323, 280, 630, 32, 1204, 32, 84, 32, 605, 291, 415, 630, 32, 539, 81, 4432, 3767, 81, 3965, 44, 324, 5941, 81, 3229, 280, 308, 38, 21713, 474, 630, 32, 1204, 32, 73, 32, 3229, 291, 813, 44, 324, 5941, 81, 3229, 280, 630, 32, 1204, 32, 73, 32, 3229, 291, 630, 32, 3965, 280, 4479, 81, 3965, 26, 784, 32, 11368, 30, 5941, 81, 3229, 27, 291, 624, 280, 308, 73, 319, 630, 32, 3965, 27, 319, 308, 35, 32, 517, 308, 35, 429, 630, 32, 11368, 490, 291, 816, 280, 630, 32, 106, 32, 12091, 26, 38, 30, 429, 35, 27, 291, 415, 630, 32, 539, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 7, 8, 6, 7, 6, 8, 6, 4, 4, 0, 2, 5, 4, 5, 5, 4, 8, 7, 8, 7, 8, 8, 11, 11, 11, 11, 9, 12, 11, 10, 12, 11, 11, 12, 11, 11, 12, 11, 8, 8, 11, 11, 11, 11, 9, 12, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 8, 8, 11, 11, 11, 11, 9, 12, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 8, 8, 11, 11, 11, 11, 11, 11, 11, 9, 11, 10, 10, 10, 8, 8, 1, 2, 2, 3, 3, 3, 3, 3, 5, 4, 5, 3, 2, 2, 6, 6, 5, 5, 6, 3, 3, 5, 5, 6, 6, 6, 3, 3, 4, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 10, 9, 11, 10, 11, 11, 11, 9, 5, 5, 8, 9, 7, 7, 9, 10, 10, 10, 10, 9, 9, 9, 10, 10, 9, 9, 10, 11, 11, 11, 9, 9, 9, 11, 10, 14, 14, 13, 14, 14, 12, 13, 12, 13, 12, 12, 13, 14, 14, 14, 12, 9, 9, 11, 11, 10, 14, 14, 13, 14, 14, 12, 13, 12, 13, 12, 12, 13, 14, 14, 14, 12, 5, 5, 9, 10, 8, 9, 9, 9, 9, 8, 5, 5, 8, 8, 7, 7, 10, 9, 8, 8, 9, 10, 10, 10, 5, 5, 8, 9, 7, 7, 12, 13, 11, 12, 11, 13, 11, 11, 12, 11, 11, 12, 12, 11, 10, 9, 11, 10, 11, 11, 11, 9, 5, 5, 8, 9, 7, 7, 12, 13, 11, 12, 11, 11, 11, 13, 11, 11, 12, 11, 11, 13, 12, 12, 13, 14, 14, 14, 12, 10, 9, 11, 10, 11, 11, 11, 9, 5, 5, 7, 7, 10, 11, 9, 10, 8, 9, 5, 5, 7, 7, 10, 11, 9, 10, 8, 9, 5, 5, 6, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 10, 10, 9, 9, 12, 11, 10, 10, 13, 14, 12, 13, 11, 12, 6, 6, 7, 7, 7, 11, 11, 10, 10, 13, 14, 12, 13, 11, 12, 5, 5, 8, 9, 7, 7, 9, 9, 9, 11, 10, 11, 9, 9, 10, 10, 9, 5, 5, 7, 7, 11, 10, 10, 11, 12, 9, 8, 8, 11, 11, 10, 10, 13, 12, 12, 13, 14, 11, 5, 5, 7, 7, 10, 11, 9, 10, 9, 10, 9, 9, 11, 9, 5, 5, 6, 7, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 9, 9, 0, 9, 9, 0, 10, 10, 0, 1, 2, 10, 10, 0, 11, 11, 0, 1, 2, 11, 11, 0, 12, 12, 0, 1, 2, 12, 12, 0, 0, 0, 13, 13, 1, 1, 2, 1, 2, 2, 2, 13, 13, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 5, 3, 1, 1, 1, 1, 1, 2, 3, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 2, 2, 2, 1, 1, 14, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 5, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 0, 7, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 5, 5, 3, 2, 2, 2, 5, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 8, 1, 2, 2, 2, 2, 2, 2, 8, 8, 8, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 8, 8, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 12, 1, 2, 2 ]
[ 1070, 298, 363, 2461, 17626, 32, 92, 318, 1566, 582, 1188, 16905, 91, 81, 1163, 203, 1070, 298, 363, 2461, 17626, 32, 92, 318, 295, 686, 1188, 35446, 203, 823, 475, 10842, 3041, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 3337, 1208, 280, 2149, 284, 665, 4705, 3041, 26, 784, 711, 291, 436, 1359, 2007, 328, 16905, 91, 81, 1163, 32, 583, 95, 32, 1803, 1063, 32, 2998, 12573, 7831, 324, 1359, 2007, 280, 1359, 2007, 32, 7201, 346, 324, 3946, 280, 1359, 2007, 32, 2998, 16487, 683, 324, 1596, 44, 400, 9167, 280, 3946, 77, 34, 79, 400, 41931, 280, 629, 26, 3028, 77, 35, 1130, 400, 46009, 280, 3946, 77, 36, 79, 400, 2615, 225, 280, 3946, 77, 37, 79, 400, 415, 2069, 26, 3028, 27, 2377, 225, 39, 44, 528, 2350, 280, 3946, 77, 38, 79, 528, 415, 646, 2350, 44, 715, 2350, 280, 1665, 400, 813, 44, 528, 2350, 280, 1665, 324, 2940, 3268, 44, 400, 4036, 324, 9167, 2952, 280, 35446, 32, 2019, 4863, 3041, 26, 2086, 30, 42894, 30, 37201, 30, 8678, 27, 324, 9167, 2952, 32, 8788, 346, 324, 1202, 280, 630, 32, 371, 81, 2665, 81, 678, 26, 2086, 30, 2350, 27, 324, 630, 32, 3337, 1208, 77, 678, 79, 280, 9167, 2952, 284, 665, 622, 3041, 26, 784, 30, 9167, 30, 2350, 47, 2521, 711, 291, 1202, 280, 630, 32, 371, 81, 2665, 81, 678, 26, 2086, 30, 2350, 27, 291, 415, 1202, 328, 630, 32, 3337, 1208, 44, 324, 442, 630, 32, 3337, 1208, 77, 678, 79, 291, 1202, 280, 630, 32, 371, 81, 2665, 81, 678, 26, 2086, 30, 1665, 27, 291, 415, 1202, 328, 630, 32, 3337, 1208, 44, 324, 442, 630, 32, 3337, 1208, 77, 678, 79, 291, 3320, 1934, 280, 630, 32, 371, 81, 2665, 81, 678, 463, 1813, 370, 1665, 27, 291, 415, 3320, 1934, 328, 630, 32, 3337, 1208, 44, 324, 442, 630, 32, 3337, 1208, 77, 2613, 1934, 79, 291, 442, 1665, 284, 665, 622, 81, 2665, 81, 678, 26, 784, 30, 9167, 30, 2350, 711, 291, 442, 9167, 30, 2350, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 665, 11638, 1486, 26, 27726, 711, 291, 1459, 440, 1580, 894, 657, 291, 2229, 32, 371, 3041, 463, 24171, 1814, 858, 346, 291, 1459, 463, 1580, 3390, 683, 284, 2229, 280, 475, 10842, 3041, 346, 284, 2229, 32, 5522, 3041, 346, 284, 1459, 440, 2590, 894, 657, 284, 34962, 2952, 280, 2229, 32, 371, 3041, 463, 24171, 683, 284, 34962, 2952, 32, 858, 346, 284, 1459, 440, 2590, 3390, 657, 284, 1188, 43008, 284, 298, 280, 43008, 32, 2861, 26, 1977, 47, 11215, 1486, 30, 1378, 2181, 4310, 27726, 33702, 284, 298, 32, 1366, 346, 284, 298, 32, 2524, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 5, 5, 10, 10, 10, 9, 10, 10, 8, 9, 9, 7, 8, 7, 9, 5, 5, 9, 8, 8, 11, 10, 11, 10, 6, 6, 8, 8, 11, 10, 11, 10, 12, 6, 6, 7, 7, 7, 10, 10, 11, 12, 11, 8, 8, 10, 10, 12, 14, 13, 14, 13, 8, 8, 10, 10, 11, 12, 11, 8, 8, 10, 10, 10, 11, 12, 11, 8, 8, 9, 12, 13, 12, 10, 10, 11, 9, 9, 9, 12, 12, 13, 14, 13, 10, 10, 11, 12, 11, 11, 11, 14, 14, 9, 9, 10, 10, 10, 13, 13, 7, 7, 8, 8, 8, 8, 6, 6, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 11, 10, 11, 10, 11, 10, 6, 6, 10, 9, 10, 9, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 10, 10, 10, 6, 6, 10, 11, 11, 9, 10, 9, 8, 8, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 5, 6, 6, 7, 8, 8, 5, 5, 5, 7, 9, 10, 10, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 5, 6, 6, 7, 8, 8, 5, 5, 5, 7, 9, 10, 10, 8, 9, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 10, 10, 8, 8, 4, 4, 5, 7, 6, 6, 7, 8, 8, 5, 5, 5, 7, 9, 10, 10, 8, 9, 9, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 9, 9, 9, 4, 4, 9, 10, 10, 9, 11, 11, 8, 7, 4, 4, 7, 9, 9, 9, 2, 2, 4, 4, 6, 6, 6, 2, 2, 5, 6, 6, 5, 2, 2, 5, 7, 7, 7, 2, 2, 5, 4, 4, 6, 7, 7, 6, 8, 8, 2, 2, 6, 5, 6, 5, 2, 2, 5, 7, 7, 7, 2, 2, 3, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 8, 6, 6, 6, 7, 9, 8, 2, 2, 5, 6, 5, 2, 2, 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 ]
[ 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 3, 3, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 2, 1, 2, 5, 5, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 4, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 0, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 4, 4, 0, 0, 2, 2, 3, 3, 3, 3, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 5, 1, 7, 1, 5, 5, 0, 0, 2, 1, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 2, 2, 0, 2, 0, 0, 0, 2, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 2, 2, 3, 3, 3, 0, 0, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 4, 4, 5, 0, 1, 1, 2, 2, 2, 5, 5, 5, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 6, 3, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 1, 1, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 2, 2, 1, 4, 4, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 3, 3, 0, 2, 2, 1, 3, 3, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 2, 3, 3, 0, 0, 2, 1, 3, 3, 1, 1, 1, 2, 3, 3, 7, 3, 3, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 3, 1, 2, 3, 3, 0, 2, 1, 3, 3, 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 ]
[ 505, 464, 505, 280, 2107, 2825, 370, 330, 2644, 2825, 785, 203, 465, 11685, 203, 1070, 281, 652, 2338, 1188, 44524, 203, 1070, 4096, 32, 6528, 3922, 1188, 18334, 2825, 203, 1070, 4096, 32, 1436, 1188, 4578, 203, 823, 12259, 44, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 93, 3604, 711, 291, 415, 2069, 26, 1132, 27, 2377, 225, 35, 44, 324, 415, 7610, 823, 25, 328, 831, 3604, 44, 400, 3636, 12678, 440, 11726, 2078, 436, 11659, 1638, 7610, 823, 32147, 324, 831, 3604, 26033, 823, 785, 280, 2181, 77, 34, 79, 291, 415, 2069, 26, 1132, 27, 610, 225, 36, 44, 324, 415, 330, 5848, 25, 328, 831, 3604, 44, 400, 3636, 12678, 440, 11726, 2078, 436, 11659, 1638, 330, 5848, 32147, 324, 831, 3604, 710, 5848, 785, 280, 2181, 77, 35, 79, 291, 415, 2069, 26, 1132, 27, 848, 225, 36, 44, 324, 3636, 12678, 463, 20563, 5075, 4209, 683, 291, 415, 7610, 823, 25, 328, 831, 3604, 44, 324, 630, 1114, 823, 280, 831, 3604, 26033, 823, 785, 324, 3555, 831, 3604, 26033, 823, 785, 291, 813, 44, 324, 630, 1114, 823, 280, 4578, 291, 415, 330, 5848, 25, 328, 831, 3604, 44, 324, 11685, 32, 8447, 27449, 5848, 25, 2793, 438, 12687, 308, 363, 10302, 5715, 3775, 18123, 367, 5711, 30, 225, 36, 27, 324, 3555, 831, 3604, 710, 5848, 785, 291, 415, 831, 3604, 44, 324, 3636, 12678, 463, 10203, 11659, 4209, 683, 284, 665, 3185, 26, 784, 30, 11828, 30, 4826, 2585, 47, 2700, 711, 291, 6985, 3922, 280, 18334, 2825, 26, 784, 1114, 823, 27, 291, 415, 4826, 2585, 44, 324, 6985, 3922, 1114, 470, 81, 5078, 2585, 346, 291, 2218, 2933, 44, 324, 706, 280, 11828, 32, 850, 26, 42, 35, 43, 36, 27, 324, 415, 646, 706, 44, 400, 1626, 324, 6985, 3922, 32, 6528, 26, 605, 27, 291, 442, 6985, 3922, 32, 2679, 346, 284, 665, 3185, 466, 26, 784, 30, 1344, 30, 4826, 2585, 47, 2700, 711, 291, 442, 630, 32, 2208, 26, 652, 2338, 26, 878, 471, 4826, 2585, 47, 5078, 2585, 27, 203, 823, 10268, 2825, 26, 2825, 711, 284, 665, 3185, 26, 784, 30, 11828, 30, 4826, 2585, 47, 1815, 711, 291, 442, 12259, 32, 2208, 26, 784, 30, 11828, 30, 2933, 27, 284, 665, 3185, 466, 26, 784, 30, 1344, 30, 4826, 2585, 47, 1815, 711, 291, 442, 12259, 32, 2208, 466, 26, 784, 30, 1344, 30, 2933, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 6, 4, 3, 3, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 10, 10, 8, 8, 9, 7, 7, 7, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 10, 9, 11, 11, 8, 8, 9, 10, 9, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 10, 10, 8, 8, 9, 7, 7, 7, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 10, 9, 11, 11, 8, 8, 9, 10, 9, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 11, 11, 11, 11, 4, 4, 5, 8, 8, 6, 6, 7, 5, 5, 5, 9, 10, 8, 8, 10, 9, 11, 11, 6, 6, 7, 9, 8, 10, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 4, 4, 5, 8, 8, 6, 6, 7, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 9, 9, 10, 9, 6, 6, 7, 9, 8, 10, 10, 4, 4, 5, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 7, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 5, 6, 5, 5, 5, 10, 9, 10, 10, 10, 10, 9, 4, 4, 5, 5, 5, 5, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 6, 6, 7, 8, 7, 7, 7, 6, 6, 10, 9, 10, 9, 10, 9, 4, 4, 5, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 5, 7, 8, 7, 9, 9, 9, 10, 9, 7, 9, 8, 9, 9, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 5, 7, 8, 7, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 5, 7, 8, 8, 7, 8, 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 ]
[ 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 1, 2, 2, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 5, 5, 5, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 1, 2, 0, 0, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 4, 4, 3, 1, 2, 1, 1, 2, 3, 3, 3, 0, 2, 0, 0, 0, 2, 1, 2, 3, 3, 1, 0, 1, 1, 2, 3, 3, 4, 4, 4, 0, 2, 0, 0, 4, 4, 4, 1, 2, 1, 1, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 3, 3, 1, 0, 1, 1, 2, 4, 4, 5, 1, 5, 5, 5, 0, 1, 1, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 4, 4, 3, 0, 0, 2, 1, 3, 3, 2, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 3, 2, 2, 1, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 638, 2282, 1188, 12437, 16653, 203, 823, 1224, 1226, 38538, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 1499, 8169, 30511, 24436, 8169, 508, 33, 7297, 33, 12390, 66, 46, 314, 8828, 80, 33, 38131, 33, 3424, 25, 284, 617, 24685, 280, 7316, 291, 330, 965, 950, 330, 641, 555, 1499, 32, 30511, 24436, 32, 508, 33, 7297, 33, 35, 38, 34, 38, 38, 40, 35, 42, 38, 38, 33, 11232, 31, 1382, 31, 13519, 31, 1028, 31, 92, 13821, 31, 21115, 49, 612, 47, 2833, 81, 2645, 370, 291, 330, 954, 39, 950, 330, 85, 42, 35, 669, 1173, 42, 35, 37, 36, 41, 29656, 40, 40, 85, 40, 38, 36, 84, 39, 86, 42, 84, 34, 42, 17065, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 35, 38, 34, 38, 38, 40, 35, 42, 38, 38, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 22981, 44, 886, 25220, 432, 971, 13821, 46987, 810, 1224, 857, 390, 441, 2920, 370, 324, 330, 2310, 950, 308, 400, 330, 51, 5799, 15998, 542, 3503, 1825, 672, 688, 21361, 2353, 322, 330, 400, 330, 20667, 461, 12204, 432, 1591, 432, 309, 11170, 4630, 709, 659, 33246, 14372, 44, 971, 13821, 46987, 4564, 324, 2588, 291, 801, 284, 801, 301, 291, 330, 5766, 950, 330, 23003, 6027, 308, 1206, 1471, 322, 7555, 30297, 24436, 6027, 2719, 7243, 291, 330, 965, 950, 330, 641, 555, 1499, 32, 30511, 24436, 32, 508, 33, 7297, 33, 39, 43, 41, 39, 34, 41, 34, 35, 42, 33, 348, 46801, 31, 87, 31, 12407, 31, 6589, 31, 979, 31, 40296, 31, 363, 31, 4038, 33, 8224, 33, 40, 39, 43, 35, 41, 42, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 41, 42, 41, 34, 38, 42, 36, 35, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 32599, 81, 314, 950, 330, 348, 46801, 370, 324, 330, 32599, 950, 330, 66, 872, 5862, 21909, 370, 324, 330, 1311, 950, 330, 66, 872, 5862, 11568, 41909, 370, 291, 320, 284, 801, 301, 291, 330, 965, 950, 330, 641, 555, 1499, 32, 30511, 24436, 32, 508, 33, 7297, 33, 35, 38, 36, 34, 35, 39, 42, 36, 38, 38, 33, 7370, 31, 13718, 31, 36, 34, 34, 34, 33, 3854, 33, 5000, 32, 916, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 35, 38, 36, 34, 35, 39, 42, 36, 38, 38, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 6768, 25548, 225, 36, 34, 34, 34, 370, 291, 801, 291, 330, 3140, 81, 19991, 950, 2107, 2961, 3406, 3048, 2188, 284, 16752, 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, 41164, 280, 630, 1114, 4984, 81, 1840, 1637, 26, 965, 30, 6027, 81, 314, 27, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 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, 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, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 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, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 8, 8, 6, 6, 5, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 5, 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, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 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, 8, 8, 6, 6, 9, 9, 9, 9, 7, 10, 10, 10, 10, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 2, 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, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 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, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 5, 5, 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, 2, 5, 5, 1, 1, 1, 2, 3, 2, 2, 1, 2, 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, 2, 2, 2, 5, 5, 1, 1, 1, 2, 5, 1, 1, 1, 2, 5, 5, 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, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4 ]
[ 465, 1340, 203, 465, 5237, 203, 81, 7101, 81, 8543, 81, 9578, 280, 428, 334, 330, 35629, 2147, 81, 9857, 370, 334, 330, 35629, 2147, 81, 28056, 370, 334, 330, 5451, 15415, 1757, 81, 3197, 370, 334, 330, 16024, 81, 3197, 370, 334, 330, 25641, 81, 10840, 81, 7789, 370, 334, 330, 25641, 81, 10840, 81, 3197, 2474, 370, 334, 330, 25641, 81, 10840, 81, 2399, 370, 334, 330, 25641, 81, 10840, 81, 2474, 370, 334, 330, 25641, 81, 10840, 81, 4065, 370, 334, 330, 24463, 81, 5451, 15415, 1757, 81, 3197, 370, 203, 79, 203, 7101, 81, 1536, 81, 9578, 280, 301, 203, 111, 203, 979, 354, 328, 617, 7101, 81, 8543, 81, 9578, 44, 334, 9750, 81, 1536, 81, 9578, 77, 104, 79, 280, 4145, 7846, 101, 9905, 904, 354, 203, 589, 10945, 2301, 26, 1977, 81, 668, 30, 1760, 81, 48719, 30, 706, 30, 2803, 711, 334, 28363, 280, 301, 291, 330, 1977, 81, 668, 950, 225, 1760, 81, 668, 30, 291, 330, 1977, 81, 48719, 950, 1760, 81, 48719, 30, 291, 330, 605, 950, 263, 706, 30, 397, 320, 334, 26590, 1057, 8312, 904, 101, 544, 904, 101, 78, 96, 22457, 32, 3494, 346, 280, 904, 101, 78, 1140, 2983, 615, 25, 904, 766, 276, 308, 3731, 32, 1648, 30, 5237, 32, 5134, 30, 26542, 26, 11939, 26, 22457, 32, 3494, 28214, 334, 1340, 32, 42137, 26, 12006, 30, 2196, 47, 22457, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 6, 6, 6, 6, 5, 6, 5, 4, 4, 7, 7, 7, 5, 5, 0, 1, 1, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 1, 4, 4, 5, 5, 8, 8, 8, 8, 6, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 6, 5, 5, 5, 2, 2, 4, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 5, 5, 6, 5, 8, 7, 8, 6, 6, 7, 8, 6, 6, 8, 10, 10, 13, 12, 13, 12, 2, 2, 5, 6, 5, 6, 5, 5, 6, 7, 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 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 5, 5, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 5, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 3, 3, 3, 2, 3, 3, 1, 0, 1, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 30, 623, 81, 9849, 203, 465, 5741, 203, 465, 5741, 32, 14458, 203, 465, 5237, 203, 1070, 273, 38200, 32, 11731, 1188, 617, 9941, 203, 1070, 273, 38200, 32, 1040, 1188, 15390, 81, 681, 30, 1695, 800, 81, 681, 203, 1270, 44, 284, 1188, 2738, 1464, 203, 7343, 29986, 44, 284, 2738, 1464, 280, 1665, 203, 3560, 81, 751, 280, 5741, 32, 10579, 440, 102, 38200, 32, 3560, 657, 203, 725, 81, 751, 280, 5741, 32, 10579, 440, 102, 38200, 32, 3164, 657, 203, 2518, 81, 751, 280, 5741, 32, 10579, 440, 102, 38200, 32, 8304, 657, 203, 589, 617, 8228, 81, 25166, 81, 1489, 2262, 284, 1963, 280, 3177, 284, 415, 2738, 1464, 461, 19326, 26, 3731, 32, 8228, 30, 330, 297, 269, 618, 683, 461, 5237, 32, 8228, 32, 297, 269, 618, 2262, 291, 1596, 44, 324, 2738, 1464, 32, 470, 9689, 2806, 346, 324, 415, 2738, 1464, 32, 5690, 371, 1516, 440, 8717, 657, 848, 225, 34, 44, 400, 1963, 280, 2933, 291, 2940, 3268, 44, 324, 3097, 284, 442, 1963, 203, 589, 617, 4770, 81, 9941, 26, 101, 711, 284, 1596, 44, 291, 442, 617, 9941, 26, 101, 27, 284, 2940, 23174, 11867, 924, 44, 291, 442, 26542, 26, 101, 27, 203, 823, 2662, 8736, 26, 7490, 32, 8736, 711, 284, 4040, 81, 9302, 280, 6611, 26, 1489, 27, 101, 22259, 26, 2649, 426, 27, 35, 32, 35, 101, 18147, 302, 27749, 27, 101, 18147, 1647, 27, 101, 6069, 26, 12300, 27, 86, 79, 42668, 416, 81, 1489, 27, 101, 18147, 1436, 27, 101, 25, 284, 4040, 81, 5241, 81, 9302, 280, 6611, 107, 23, 95, 23, 86, 904, 58, 6069, 63, 6069, 69, 25, 284, 4040, 81, 45194, 280, 301, 291, 5741, 32, 2897, 44, 225, 38, 30, 16189, 5741, 32, 1589, 44, 225, 36, 30, 16189, 5741, 32, 10431, 44, 225, 37, 30, 16189, 5741, 32, 2930, 44, 225, 35, 30, 10065, 320, 284, 665, 1156, 1664, 3207, 784, 30, 1963, 47, 1815, 30, 4550, 47, 5807, 81, 9302, 30, 353, 2340, 3972, 47, 5807, 81, 5241, 81, 9302, 30, 9612, 47, 5807, 81, 45194, 711, 291, 540, 2993, 291, 499, 626, 1560, 1963, 44, 45333, 1963, 2193, 32, 291, 499, 626, 802, 4550, 44, 2662, 1474, 2179, 32, 616, 2030, 1098, 526, 9547, 372, 322, 5414, 5436, 432, 1245, 9212, 32, 886, 616, 1344, 3733, 4102, 42668, 1489, 27, 101, 572, 461, 4102, 42668, 416, 81, 1489, 27, 101, 572, 1098, 526, 38644, 616, 14714, 544, 322, 3193, 415, 1963, 2193, 438, 544, 32, 291, 499, 626, 5436, 9612, 44, 1963, 22718, 645, 5741, 3193, 372, 10719, 1963, 616, 1340, 291, 499, 626, 802, 2340, 3972, 44, 2821, 1003, 2179, 32, 616, 12781, 436, 17948, 4102, 26, 302, 27749, 27, 572, 5674, 328, 4102, 4254, 81, 3972, 16688, 291, 4377, 1503, 8968, 403, 225, 37, 32, 36, 2607, 9090, 4102, 3972, 572, 461, 4102, 770, 3972, 572, 4209, 32, 291, 1524, 291, 5741, 32, 8736, 3667, 1664, 3207, 784, 30, 2340 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 2, 2, 3, 6, 5, 5, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 4, 4, 7, 8, 6, 7, 7, 7, 6, 3, 3, 5, 5, 5, 10, 9, 10, 10, 10, 9, 6, 6, 7, 11, 10, 11, 11, 11, 10, 12, 12, 8, 8, 9, 7, 7, 7, 10, 10, 5, 5, 6, 6, 6, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 7, 7, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 6, 8, 9, 8, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 7, 8, 6, 6, 7, 5, 5, 5, 7, 8, 6, 6, 7, 5, 5, 5, 7, 8, 6, 6, 7, 5, 5, 5, 7, 8, 6, 6, 7, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 6, 6, 4, 4, 4, 6, 5, 6, 6, 6, 6, 6, 4, 4, 5, 6, 6, 6, 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, 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, 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, 8, 9, 7, 8, 8, 8, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 1, 1, 1, 2, 10, 10, 0, 0, 4, 4, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 3, 3, 3, 3, 4, 4, 2, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 0, 12, 12, 1, 2, 0, 1, 2, 2, 12, 12, 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, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 3, 3, 2, 2, 2, 2, 0, 2, 5, 5, 2, 2, 2, 2, 0, 2, 7, 7, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 0, 7, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1 ]
[ 1070, 7138, 1188, 7138, 203, 589, 2575, 26, 1357, 30, 1789, 711, 284, 2401, 81, 1567, 81, 314, 280, 1326, 32, 5078, 32, 371, 440, 3267, 31, 1151, 31, 606, 392, 7746, 284, 5204, 280, 1326, 32, 2788, 32, 2232, 463, 4840, 370, 313, 858, 657, 284, 11078, 280, 313, 31784, 20, 415, 5204, 328, 1326, 32, 21326, 813, 313, 2576, 81, 31784, 20, 284, 7382, 280, 1326, 32, 2788, 32, 2232, 463, 6946, 370, 1326, 32, 5078, 1365, 6946, 6890, 284, 10677, 280, 1326, 32, 2788, 32, 2232, 463, 12623, 370, 330, 1508, 683, 284, 4826, 280, 1605, 284, 415, 7382, 863, 330, 4108, 950, 291, 4826, 32, 1689, 26146, 2791, 31, 2422, 31, 6668, 31, 9009, 392, 7382, 876, 284, 415, 10677, 863, 330, 4108, 950, 291, 4826, 32, 1689, 26146, 2791, 31, 2422, 31, 6668, 31, 10103, 392, 10677, 876, 284, 415, 2401, 81, 1567, 81, 314, 610, 40496, 291, 4826, 32, 1689, 26146, 1777, 31, 620, 392, 313, 878, 33, 1567, 31, 2238, 2131, 291, 1789, 32, 470, 81, 9534, 26, 4840, 30, 313, 31784, 657, 291, 706, 280, 313, 314, 44, 225, 35, 78, 96, 13558, 44, 225, 36, 34, 34, 78, 96, 605, 44, 1932, 904, 101, 78, 96, 78, 96, 20, 904, 11078, 284, 4348, 2401, 81, 1567, 81, 314, 610, 330, 35, 950, 291, 4826, 32, 1689, 26146, 1777, 31, 620, 392, 313, 878, 33, 1567, 31, 2238, 2131, 291, 1946, 81, 3222, 81, 1003, 81, 13646, 280, 7138, 32, 2174, 922, 3227, 26, 4548, 47, 36, 34, 34, 35, 30, 6811, 47, 41, 30, 5808, 47, 36, 41, 27, 291, 1789, 32, 470, 81, 9534, 26, 4840, 30, 313, 31784, 392, 23192, 47, 3222, 81, 3222, 81, 1003, 81, 13646, 27, 291, 706, 280, 313, 314, 44, 225, 36, 78, 96, 605, 44, 3100, 904, 101, 78, 96, 78, 96, 20, 904, 11078, 284, 813, 44, 291, 4826, 32, 1689, 26146, 1777, 31, 620, 392, 313, 4048, 2131, 291, 706, 280, 313, 605, 44, 313, 474, 2401, 81, 1567, 81, 314, 474, 11078, 474, 2706, 96, 78, 96, 866, 284, 442, 4826, 30, 706, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 6, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 8, 6, 8, 8, 2, 2, 4, 4, 7, 7, 5, 5, 6, 6, 7, 8, 5, 5, 7, 7, 7, 7, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 8, 6, 8, 9, 7, 9, 9, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 8, 6, 8, 8, 2, 2, 4, 4, 2, 2, 3, 4, 4, 6, 6, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 2, 2, 3, 4, 4, 6, 6, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 2, 2, 3, 5, 5, 5, 5, 4, 4, 3, 3, 7, 8, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 4, 4, 6, 6, 9, 9, 9, 9, 10, 10, 9, 9, 9, 9, 9, 9, 10, 10, 9, 9, 9, 9, 9, 10, 10, 10, 10, 9, 7, 7, 3, 3, 4, 6, 6, 6, 6, 5, 5, 7, 7, 4, 4, 8, 9, 8, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 8, 8, 8, 8, 7, 7, 11, 12, 11, 10, 9, 11, 10, 11, 11, 11, 11, 9, 9, 10, 11, 9, 9, 10, 11, 11, 9, 5, 5, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 8, 9, 10, 10, 10, 10, 10, 10, 10, 8, 5, 5, 7, 7, 10, 10, 10, 10, 11, 11, 10, 10, 10, 10, 10, 11, 11, 11, 11, 10, 8, 8, 3, 3, 4, 4, 4, 8, 9, 8, 11, 11, 11, 11, 9, 11, 11, 5, 5, 7, 7, 12, 12, 12, 10, 10, 11, 11, 11, 11, 9, 9, 8, 8, 11, 11, 11, 10, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 3, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 4, 4, 6, 1, 1, 1, 2, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 7, 1, 1, 1, 2, 7, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 8, 0, 0, 0, 0, 1, 1, 8, 8, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 8, 8, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 1, 1, 5, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 8, 8, 5, 5, 5, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 4, 4, 9, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2108, 57, 2983, 203, 858, 280, 2108, 57, 2983, 32, 1006, 57, 2983, 346, 203, 858, 32, 1945, 81, 24523, 463, 32483, 32, 24523, 683, 203, 858, 32, 470, 81, 5983, 463, 5813, 683, 203, 858, 32, 1832, 463, 32483, 32, 24523, 683, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 32483, 370, 3775, 12532, 37346, 1761, 3488, 78, 96, 25, 6619, 330, 5240, 3488, 78, 96, 25, 6619, 330, 5240, 36, 3488, 78, 96, 25, 6619, 330, 5813, 3488, 78, 96, 2847, 203, 858, 32, 470, 81, 5983, 463, 3529, 683, 203, 858, 32, 1832, 463, 32483, 32, 24523, 683, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 32483, 370, 3775, 12532, 37346, 1761, 3488, 78, 96, 25, 6619, 330, 5240, 3488, 78, 96, 25, 6619, 330, 5240, 36, 3488, 78, 96, 25, 6619, 330, 3529, 3488, 78, 96, 2847, 203, 858, 32, 4617, 81, 858, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 3, 2, 2, 5, 5, 4, 5, 5, 5, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 0, 4, 3, 4, 4, 4, 3, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 3, 3, 4, 8, 8, 9, 9, 8, 6, 6, 8, 8, 9, 9, 8, 6, 6, 8, 8, 8, 9, 9, 8, 6, 6, 8, 8, 9, 9, 8, 0, 4, 3, 4, 4, 4, 3, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 3, 3, 4, 8, 8, 9, 9, 8, 6, 6, 8, 8, 9, 9, 8, 6, 6, 8, 8, 8, 9, 9, 8, 6, 6, 8, 8, 9, 9, 8, 0, 4, 3, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 465, 5237, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 6390, 1188, 4533, 81, 24034, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 11400, 1188, 5630, 81, 965, 203, 589, 5247, 3073, 81, 2669, 81, 2285, 2262, 284, 442, 5436, 26, 291, 4125, 81, 1956, 47, 2665, 26, 3648, 47, 1815, 30, 17163, 4310, 2121, 81, 24034, 30, 2107, 2117, 73, 81, 9052, 370, 330, 2117, 73, 81, 2554, 81, 3307, 370, 330, 2117, 73, 81, 65, 9036, 81, 9052, 370, 330, 2117, 73, 81, 2554, 81, 9052, 16578, 5556, 1289, 81, 751, 47, 1815, 30, 20664, 11414, 10772, 81, 1956, 16578, 291, 4125, 81, 965, 47, 2665, 26, 24034, 4310, 2121, 81, 24034, 30, 2107, 2117, 73, 81, 2554, 81, 2413, 16578, 1244, 1057, 641, 555, 1237, 32, 3804, 3073, 32, 508, 370, 20664, 11414, 1439, 81, 965, 16578, 291, 4125, 81, 5457, 47, 2665, 26, 681, 1057, 410, 370, 1244, 47, 37, 34, 30, 20664, 11414, 5457, 16578, 291, 6042, 81, 23545, 47, 2665, 26, 1536, 47, 1815, 30, 827, 1057, 2420, 1425, 284, 829, 203, 589, 5797, 81, 1070, 81, 1473, 26, 545, 105, 81, 1473, 711, 284, 442, 5436, 26, 291, 308, 93, 30, 354, 27, 291, 436, 831, 30, 354, 328, 2197, 105, 81, 1473, 32, 3028, 346, 291, 415, 831, 863, 330, 314, 25, 461, 354, 438, 646, 1665, 284, 829, 203, 823, 19518, 3073, 984, 26, 984, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 711, 291, 630, 32, 1436, 280, 1474, 203, 823, 5170, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5127, 30, 3099, 711, 291, 630, 32, 1548, 280, 1665, 291, 415, 5127, 44, 324, 630, 32, 1548, 280, 5127, 32, 850, 346, 291, 630, 32, 1338, 280, 3099, 284, 477, 2433, 284, 665, 2361, 26, 784, 711, 291, 415, 646, 630, 32, 1548, 44, 324, 415, 313, 1548, 20, 328, 630, 32, 1338, 44, 400, 442, 2361, 32, 12474, 26, 784, 32, 1338, 1365, 1548, 6890, 324, 442, 1665, 291, 1596, 44, 324, 442, 2361, 32, 12474, 26, 784, 32, 1548, 27, 291, 2940, 10091, 44, 324, 442, 1665, 284, 477, 2433, 284, 665, 2287, 81, 687, 26, 784, 711, 291, 442, 630, 32, 1338, 1365, 1517, 1446, 284, 477, 2433, 284, 665, 3835, 26, 784, 711, 291, 442, 630, 32, 1517, 81, 687, 328, 308, 36, 34, 34, 30, 225, 36, 34, 35, 30, 225, 36, 34, 36, 30, 225, 36, 34, 38, 27, 203, 823, 19518, 3073, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2297, 711, 291, 630, 32, 1647, 280, 2297, 291, 630, 32, 5078, 280, 301, 324, 330, 74, 31, 2681, 31, 1763, 950, 630, 32, 1647, 32, 2132, 32, 371, 463, 1237, 81, 1956, 1425, 324, 330, 1240, 31, 6143, 950, 630, 32, 371, 81, 496, 81, 4867, 81, 800, 26, 1647, 471, 324, 330, 1777, 31, 681, 950, 330, 3164, 33, 1260, 370, 291, 320, 291, 630, 32, 426, 280, 1665, 284, 665, 622, 81, 5379, 26, 784, 711, 291, 3276, 280, 630, 32, 371, 3247 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 5, 5, 5, 7, 7, 6, 8, 8, 10, 9, 10, 8, 8, 9, 11, 11, 11, 10, 10, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 8, 8, 10, 10, 9, 10, 8, 8, 9, 12, 12, 12, 12, 5, 5, 7, 7, 6, 8, 8, 10, 9, 11, 11, 11, 10, 10, 13, 13, 13, 13, 13, 13, 13, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 9, 12, 12, 12, 12, 5, 5, 7, 7, 6, 8, 8, 10, 9, 11, 11, 8, 9, 10, 10, 8, 8, 9, 12, 12, 5, 5, 7, 7, 6, 8, 8, 10, 9, 10, 8, 8, 9, 11, 11, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 5, 5, 5, 7, 6, 6, 6, 5, 5, 6, 7, 7, 6, 6, 9, 9, 9, 8, 9, 8, 5, 5, 6, 8, 8, 10, 10, 7, 7, 8, 8, 8, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 10, 11, 10, 4, 4, 7, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 9, 6, 6, 6, 8, 11, 11, 9, 9, 10, 11, 8, 8, 8, 10, 12, 13, 12, 15, 14, 15, 13, 15, 15, 7, 7, 8, 5, 5, 6, 6, 6, 8, 10, 11, 10, 12, 11, 12, 10, 6, 6, 7, 7, 7, 7, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 9, 9, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 9, 9, 7, 7, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 12, 13, 11, 12, 10, 11, 10, 12, 12, 12, 12, 7, 7, 10, 10, 10, 10, 8, 10, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 2, 1, 1, 7, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 0, 0, 5, 0, 1, 0, 1, 1, 2, 1, 3, 2, 2, 1, 1, 5, 1, 2, 1, 1, 0, 0, 7, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 1, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 3, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 7, 7, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 3, 3, 1, 4, 4, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 3, 3, 3, 3, 0, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 4, 4, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2, 2, 7, 7, 7, 2, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1 ]
[ 1070, 3089, 749, 98, 1188, 28135, 527, 4975, 81, 779, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 823, 12994, 81, 1500, 26, 500, 104, 32, 500, 104, 711, 284, 617, 6815, 280, 330, 9729, 32, 1500, 25, 284, 617, 6057, 280, 301, 291, 330, 15735, 81, 928, 81, 314, 950, 3829, 32, 11374, 36, 658, 463, 15735, 32, 1174, 32, 928, 370, 324, 330, 18201, 7679, 7064, 370, 544, 2560, 1057, 470, 744, 370, 2192, 47, 1815, 30, 324, 4283, 47, 1815, 471, 284, 320, 284, 665, 622, 81, 4415, 81, 2243, 26, 784, 30, 5564, 30, 12373, 30, 5169, 30, 1619, 47, 2521, 711, 291, 415, 5169, 32, 15735, 81, 928, 81, 314, 44, 324, 442, 5169, 32, 4415, 81, 2243, 291, 442, 2599, 26, 9729, 81, 1500, 30, 630, 547, 371, 81, 4415, 81, 2243, 26, 2446, 30, 12373, 30, 5169, 30, 1619, 47, 1819, 27, 284, 665, 2866, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 20200, 30, 1619, 47, 2521, 711, 291, 415, 6937, 26, 3631, 30, 308, 410, 30, 1946, 8531, 324, 9668, 280, 428, 3631, 79, 291, 736, 280, 2599, 26, 9729, 81, 1500, 30, 630, 547, 1821, 26, 2446, 30, 12373, 30, 9668, 30, 20200, 30, 1619, 47, 1819, 27, 291, 645, 3089, 749, 98, 1188, 10153, 291, 415, 20200, 32, 371, 463, 1293, 683, 328, 2107, 5087, 370, 330, 8151, 12132, 324, 2085, 81, 452, 81, 1553, 280, 1605, 324, 436, 5169, 328, 630, 32, 14304, 26, 2446, 30, 12373, 30, 9668, 30, 1619, 47, 1819, 711, 400, 415, 5169, 32, 15735, 81, 928, 81, 314, 461, 5169, 32, 15735, 81, 928, 81, 314, 32, 1174, 81, 314, 44, 528, 2532, 280, 5169, 32, 15735, 81, 928, 81, 314, 32, 1174, 81, 314, 528, 2532, 81, 314, 280, 2532, 32, 314, 528, 415, 630, 32, 5178, 32, 371, 463, 15735, 32, 1174, 1814, 858, 81, 21332, 81, 5087, 26, 2446, 30, 12373, 30, 428, 1174, 81, 314, 614, 1619, 47, 1819, 711, 715, 10153, 32, 359, 89, 81, 4635, 26, 34869, 4975, 81, 779, 30, 330, 15735, 32, 1174, 370, 2532, 81, 314, 30, 330, 8800, 299, 81, 5087, 370, 5564, 27, 528, 415, 630, 32, 5178, 32, 371, 463, 15735, 32, 1174, 1814, 858, 81, 21332, 81, 7343, 26, 2446, 30, 12373, 30, 428, 1174, 81, 314, 614, 1619, 47, 1819, 711, 715, 10153, 32, 359, 89, 81, 4635, 26, 34869, 4975, 81, 779, 30, 330, 15735, 32, 1174, 370, 2532, 81, 314, 30, 330, 8800, 299, 81, 8151, 370, 5564, 27, 528, 415, 2532, 81, 314, 646, 328, 2085, 81, 452, 81, 1553, 461, 20200, 710, 1293, 785, 610, 330, 8151, 25, 461, 2532, 32, 10969, 81, 1959, 610, 330, 8800, 299, 950, 715, 2085, 81, 452, 81, 1553, 32, 1689, 26, 1174, 81, 314, 27, 324, 415, 2085, 81, 452, 81, 1553, 44, 400, 630, 32, 5178, 32, 371, 463, 15735, 32, 1174, 1814, 81, 470, 81, 843, 81, 4446, 81, 266 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 8, 10, 9, 11, 11, 11, 8, 9, 10, 8, 8, 8, 9, 10, 8, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 7, 8, 9, 9, 9, 4, 4, 5, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 7, 8, 7, 7, 7, 7, 7, 7, 8, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 8, 7, 7, 9, 8, 8, 8, 5, 5, 8, 8, 10, 9, 4, 4, 6, 6, 10, 11, 11, 11, 10, 10, 10, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 8, 4, 4, 5, 7, 7, 5, 5, 4, 4, 5, 8, 9, 8, 10, 10, 6, 6, 9, 9, 7, 9, 9, 5, 5, 9, 9, 9, 9, 8, 8, 6, 6, 7, 7, 7, 9, 10, 9, 10, 9, 9, 9, 9, 9, 9, 10, 11, 9, 7, 7, 9, 11, 12, 12, 12, 12, 12, 10, 10, 12, 13, 13, 13, 13, 13, 11, 12, 12, 12, 9, 9, 9, 12, 12, 14, 15, 15, 15, 15, 15, 13, 14, 14, 14, 10, 10, 13, 13, 12, 12, 13, 14, 10, 10, 11, 16, 17, 15, 16, 15, 17, 17, 17, 17, 14, 14, 14, 14, 14, 13, 14, 13, 13, 13, 13, 15, 15, 15, 14, 13, 14, 15, 13, 11, 11, 15, 16, 16, 16, 16, 15, 16, 16, 16, 16, 15, 15, 17, 17, 17, 17, 15, 16, 16, 15, 15, 17, 17, 17, 17, 17, 15, 15, 10, 10, 11, 16, 17, 15, 16, 15, 17, 17, 17, 17, 14, 14, 14, 14, 14, 13, 14, 13, 13, 13, 13, 15, 15, 15, 14, 13, 14, 15, 13, 11, 11, 15, 16, 16, 16, 16, 15, 16, 16, 16, 16, 15, 15, 17, 17, 17, 17, 15, 16, 16, 15, 15, 17, 17, 17, 17, 17, 15, 15, 10, 10, 11, 15, 15, 14, 14, 14, 15, 15, 15, 15, 13, 13, 15, 17, 17, 14, 14, 16, 16, 12, 12, 14, 15, 15, 15, 13, 13, 15, 15, 15, 11, 11, 16, 16, 16, 16, 15, 16, 15, 16, 16, 16, 15, 6, 6, 7, 8, 8, 8, 8, 7, 7, 7, 14, 15, 13, 14, 13, 15, 15, 15, 15, 12, 12, 12, 12, 12, 12, 12, 12 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 5, 1, 1, 2, 1, 7, 2, 1, 1, 1, 9, 2, 1, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 4, 4, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 11, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 1, 4, 4, 2, 0, 0, 2, 2, 4, 4, 3, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 3, 3, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 7, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 7, 2, 1, 3, 3, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 1070, 485, 591, 32, 1356, 1188, 8694, 38, 203, 1070, 485, 591, 32, 1356, 1188, 706, 81, 2157, 203, 1070, 485, 591, 32, 1356, 1188, 7290, 203, 1070, 485, 591, 32, 1356, 1188, 34487, 853, 203, 1070, 485, 591, 32, 1356, 1188, 8745, 203, 1070, 485, 591, 32, 1805, 1188, 32539, 81, 4365, 36, 203, 823, 488, 3821, 30063, 3080, 26, 18685, 853, 32, 32688, 3489, 3858, 711, 334, 20167, 280, 32539, 81, 4365, 36, 32, 1400, 935, 30063, 3080, 203, 823, 488, 3821, 30063, 26, 1867, 32, 57, 4252, 4055, 711, 334, 6215, 280, 2430, 20137, 5681, 334, 526, 8002, 5252, 280, 7290, 32, 57, 4252, 4055, 32, 864, 8002, 5252, 474, 313, 30160, 20, 334, 2181, 81, 681, 280, 488, 3821, 30063, 3080, 334, 477, 1867, 32, 1078, 1972, 26, 1978, 81, 1293, 347, 1922, 20137, 657, 334, 665, 4793, 26, 784, 711, 284, 630, 32, 1293, 32, 4329, 440, 375, 392, 630, 32, 1580, 81, 314, 32, 1103, 26, 784, 32, 1132, 32, 983, 490, 284, 415, 630, 32, 10340, 32, 2024, 438, 646, 1665, 44, 397, 630, 32, 10340, 32, 2024, 280, 8694, 38, 32, 24845, 32, 1922, 26, 616, 630, 32, 10340, 32, 2024, 32, 375, 30, 313, 57, 4252, 37535, 392, 2404, 47, 784, 32, 1956, 27, 397, 630, 32, 10340, 32, 2024, 32, 885, 26, 616, 630, 32, 10340, 32, 2024, 32, 3694, 32, 17513, 26, 1090, 313, 20137, 301, 34, 16054, 1643, 26, 784, 32, 1132, 32, 983, 2610, 284, 630, 32, 1853, 1078, 26, 1978, 81, 1293, 347, 1922, 20137, 657, 334, 665, 617, 720, 72, 6883, 7640, 26, 784, 30, 296, 3210, 711, 284, 2838, 81, 375, 101, 280, 1605, 284, 2218, 225, 35, 44, 397, 3872, 81, 4915, 280, 1605, 397, 436, 4950, 5713, 328, 8694, 38, 32, 24845, 32, 6221, 720, 7640, 26, 616, 296, 3210, 30, 2404, 47, 784, 32, 1956, 711, 291, 3872, 81, 4915, 32, 8233, 26, 4915, 27, 397, 415, 646, 3872, 81, 4915, 44, 291, 1626, 397, 2838, 81, 375, 101, 32, 8233, 26, 7224, 81, 4915, 27, 397, 296, 3210, 280, 3872, 81, 4915, 284, 442, 2838, 81, 375, 101, 334, 477, 1867, 32, 1078, 1972, 346, 334, 665, 2648, 20137, 26, 784, 711, 284, 2838, 81, 375, 101, 280, 630, 1114, 720, 72, 6883, 7640, 2009, 784, 32, 1293, 32, 375, 1130, 284, 3879, 280, 8694, 38, 32, 2212, 32, 936, 2212, 9813, 440, 4597, 657, 284, 436, 5383, 30, 2078, 328, 706, 81, 2157, 32, 1996, 32, 6221, 15048, 10851, 26, 291, 2838, 81, 375, 101, 30, 3879, 32, 15522, 30, 2404, 47, 784, 32, 1956, 30, 2723, 47, 35, 34, 34, 34, 34, 34, 34, 34, 711, 397, 436, 4950, 14300, 30, 617, 328, 2078, 44, 291, 6314, 280, 34487, 853, 32, 5944, 2711, 26, 15665, 27, 291, 1692, 280, 34487, 853, 32, 1151, 26, 1855, 47, 2304, 32, 15937, 14923, 26, 6250, 471, 7686, 6314, 47, 4597, 27, 291, 436, 281, 328, 313, 4229, 563, 616, 6341, 280, 18623, 26, 4597, 30, 313, 270, 16335, 270, 512, 20, 904, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 6, 6, 6, 5, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 7, 8, 8, 8, 6, 7, 7, 7, 5, 5, 7, 7, 2, 2, 5, 5, 4, 4, 5, 5, 5, 2, 2, 7, 6, 7, 7, 6, 8, 8, 8, 7, 9, 9, 9, 3, 3, 4, 5, 6, 5, 4, 4, 9, 10, 8, 9, 8, 10, 10, 8, 11, 12, 12, 12, 10, 11, 10, 13, 12, 13, 11, 12, 10, 5, 5, 6, 9, 10, 8, 9, 7, 7, 7, 6, 6, 6, 11, 12, 10, 11, 9, 9, 13, 12, 13, 11, 12, 11, 11, 11, 14, 15, 13, 14, 12, 13, 11, 11, 13, 13, 13, 13, 11, 12, 14, 13, 14, 11, 7, 7, 12, 13, 11, 12, 10, 11, 10, 10, 10, 15, 16, 14, 15, 13, 14, 12, 13, 12, 12, 12, 16, 16, 16, 16, 15, 14, 17, 16, 17, 15, 16, 14, 5, 5, 8, 9, 9, 8, 10, 10, 10, 9, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 7, 7, 6, 6, 4, 4, 5, 6, 5, 5, 5, 9, 9, 8, 8, 6, 6, 7, 8, 7, 7, 11, 10, 11, 9, 10, 10, 10, 9, 9, 9, 10, 9, 9, 10, 12, 11, 12, 9, 7, 7, 12, 12, 11, 12, 11, 12, 11, 6, 6, 7, 8, 9, 9, 7, 7, 7, 6, 6, 10, 10, 10, 9, 10, 9, 10, 10, 10, 9, 6, 6, 9, 8, 8, 9, 9, 4, 4, 5, 6, 6, 6, 2, 2, 7, 6, 7, 7, 6, 3, 3, 4, 5, 5, 6, 5, 4, 4, 8, 8, 8, 7, 7, 9, 10, 10, 10, 10, 9, 13, 12, 13, 11, 12, 10, 5, 5, 7, 7, 11, 10, 11, 9, 10, 10, 10, 9, 11, 11, 5, 5, 6, 7, 7, 6, 6, 10, 10, 9, 10, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 8, 8, 9, 10, 8, 8, 9, 11, 10, 11, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 8, 6, 6, 8, 9, 9, 9, 8, 8, 8, 8, 8, 11, 11, 14, 13, 14, 14, 13, 14, 13, 9, 9, 11, 11, 14, 13, 14, 13, 15, 14, 17, 16, 17, 17, 16, 17, 16, 13, 13, 14, 15, 13, 9, 9, 10, 10, 10, 12, 12, 10, 10, 13, 13, 15, 16, 15, 15, 18, 18, 18, 18, 18, 16, 16 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 6, 6, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 7, 7, 1, 1, 2, 0, 1, 2, 2, 2, 2, 7, 7, 0, 0, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 3, 3, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 5, 0, 2, 2, 1, 3, 3, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 4, 4, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 5, 5, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 0, 2, 2, 1, 1, 7, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 2, 1, 5, 5, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3 ]
[ 465, 2322, 30, 15798, 203, 1070, 816, 1285, 32, 944, 1188, 2454, 81, 1647, 203, 589, 622, 81, 40244, 2262, 284, 4870, 280, 2322, 32, 983, 32, 7927, 1732, 26, 500, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 505, 2610, 284, 442, 2322, 32, 983, 32, 35490, 26, 3607, 27, 203, 40244, 280, 622, 81, 40244, 346, 203, 823, 2108, 8726, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 6390, 26, 784, 711, 291, 2047, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 371, 81, 40244, 1026, 31001, 370, 330, 858, 370, 330, 2263, 687, 81, 36, 32, 39, 370, 1014, 330, 34, 36, 81, 11476, 32, 40546, 683, 291, 308, 1648, 30, 6341, 30, 17281, 81, 410, 30, 2098, 30, 438, 81, 35172, 30, 276, 1914, 81, 891, 27, 280, 2454, 81, 1647, 26, 1803, 81, 761, 27, 291, 630, 32, 5299, 26, 1648, 30, 225, 36, 32, 39, 30, 656, 313, 6469, 1159, 27704, 973, 4865, 1503, 10273, 657, 291, 1201, 2098, 32, 331, 81, 40403, 610, 308, 39, 92, 30, 1665, 471, 313, 1227, 1395, 1159, 312, 8640, 8082, 20, 291, 2047, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 371, 81, 40244, 1026, 31001, 370, 330, 858, 370, 330, 2263, 687, 81, 37, 32, 37, 370, 1014, 330, 34, 40, 81, 30480, 470, 32, 40546, 683, 291, 308, 1648, 30, 6341, 30, 17281, 81, 410, 30, 2098, 30, 438, 81, 35172, 30, 276, 1914, 81, 891, 27, 280, 2454, 81, 1647, 26, 1803, 81, 761, 27, 291, 1424, 280, 308, 34, 30, 1665, 30, 330, 3131, 668, 370, 330, 1204, 681, 370, 330, 1204, 370, 330, 2543, 370, 330, 75, 929, 370, 2855, 20073, 470, 4901, 1204, 681, 370, 330, 3131, 668, 370, 330, 2543, 370, 330, 1204, 7698, 291, 630, 32, 5299, 26, 331, 32, 331, 81, 40403, 30, 1424, 30, 313, 6469, 2887, 20073, 470, 657, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 7, 8, 6, 7, 7, 6, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 10, 2, 2, 3, 6, 7, 5, 6, 5, 6, 5, 0, 3, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 8, 10, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 8, 8, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 7, 8, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 7, 8, 8, 8, 6, 6, 8, 8, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 8, 10, 8, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 8, 8, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 7, 7, 7, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 7, 7, 9, 9, 12, 12, 12, 10, 12, 12, 12, 10, 12, 12, 10, 12, 12, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 7, 7, 9, 9, 9, 9, 9, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 9, 9, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 9, 9, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 1070, 7744, 1188, 8316, 30, 10712, 30, 9812, 203, 465, 6436, 619, 2065, 203, 465, 12500, 203, 465, 12500, 32, 27208, 619, 7680, 19317, 203, 465, 12500, 32, 17449, 619, 5743, 203, 823, 9975, 44, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 3048, 47, 1026, 5414, 47, 1026, 1963, 1057, 16082, 7831, 291, 630, 32, 426, 280, 636, 291, 415, 6937, 26, 2310, 30, 596, 711, 324, 3048, 280, 428, 2310, 79, 291, 630, 32, 2310, 280, 3048, 291, 630, 32, 5843, 280, 5414, 291, 630, 32, 1489, 280, 1963, 291, 630, 32, 875, 101, 280, 1605, 291, 630, 32, 2705, 280, 1665, 284, 665, 739, 81, 2705, 26, 784, 30, 2747, 711, 291, 630, 32, 2705, 280, 2065, 32, 26742, 26, 2705, 27, 284, 665, 1401, 26, 784, 30, 1604, 30, 636, 30, 8775, 47, 2521, 30, 7291, 47, 2521, 30, 816, 47, 34, 32, 38, 30, 1418, 1057, 20366, 7831, 291, 630, 32, 875, 101, 32, 1689, 1162, 2455, 30, 636, 30, 816, 30, 1418, 490, 291, 415, 8775, 438, 646, 1665, 44, 324, 8775, 10439, 8316, 517, 225, 35, 42, 34, 324, 1604, 32, 470, 81, 2705, 26, 784, 32, 2705, 474, 7686, 428, 4952, 26, 3695, 27, 319, 7291, 30, 9812, 26, 3695, 27, 319, 7291, 1130, 203, 589, 11909, 26, 891, 30, 4921, 711, 284, 415, 11366, 26, 891, 77, 34, 79, 319, 4921, 77, 35, 1130, 333, 11366, 26, 891, 77, 35, 79, 319, 4921, 77, 34, 10794, 291, 816, 280, 1847, 26, 1449, 3736, 891, 77, 34, 79, 517, 225, 36, 30, 4921, 77, 34, 5727, 1334, 77, 34, 79, 517, 225, 36, 27, 291, 533, 280, 816, 319, 4921, 77, 35, 79, 517, 4921, 77, 34, 79, 284, 813, 44, 291, 533, 280, 1847, 26, 1449, 3736, 891, 77, 35, 79, 517, 225, 36, 30, 4921, 77, 35, 5727, 1334, 77, 35, 79, 517, 225, 36, 27, 291, 816, 280, 533, 319, 4921, 77, 34, 79, 517, 4921, 77, 35, 79, 284, 442, 816, 30, 533, 203, 823, 488, 2743, 44, 284, 665, 1156, 1664, 3207, 784, 30, 16057, 711, 291, 630, 32, 12936, 280, 16057, 284, 665, 6867, 26, 784, 711, 291, 312, 38, 280, 225, 35, 34, 34, 319, 2065, 32, 955, 2009, 36, 326, 31, 35, 32, 41, 39, 30, 225, 36, 326, 31, 36, 32, 36, 39, 1130, 291, 328, 380, 280, 225, 36, 32, 39, 38, 291, 630, 32, 582, 280, 5743, 32, 7630, 26, 35, 30, 312, 38, 517, 328, 380, 27, 291, 630, 32, 648, 280, 3327, 280, 630, 32, 582, 32, 669, 81, 15019, 2009, 34, 30, 225, 34, 30, 225, 35, 30, 225, 35, 614, 3118, 267, 47, 2700, 27, 291, 3327, 32, 470, 81, 33019, 26, 34, 30, 312, 38, 77, 34, 1130, 291, 3327, 32, 470, 81, 28691, 26, 34, 30, 312, 38, 77, 35, 1130, 291, 3327, 32, 39113, 32, 470, 81, 7891, 26, 2700, 27, 291, 3327, 32, 38541, 32, 470, 81, 7891, 26, 2700, 27, 291, 3327, 32, 669, 81, 2675, 26, 317, 19317, 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, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 3, 4, 2, 2, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 5, 6, 4, 5, 7, 7, 3, 3, 7, 8, 6, 6, 4, 4, 5, 7, 8, 7, 7, 7, 5, 5, 8, 8, 10, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 8, 9, 8, 9, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 6, 6, 4, 4, 5, 7, 7, 3, 3, 8, 9, 9, 7, 8, 7, 9, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 8, 8, 9, 9, 10, 10, 10, 6, 6, 9, 10, 10, 10, 9, 12, 11, 12, 10, 10, 10, 14, 14, 15, 14, 12, 12, 11, 11, 14, 15, 14, 12, 12, 11, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 6, 9, 8, 9, 8, 7, 7, 8, 9, 8, 4, 4, 6, 9, 8, 9, 8, 7, 7, 8, 9, 8, 3, 3, 6, 6, 8, 10, 10, 14, 13, 14, 13, 11, 11, 12, 10, 10, 11, 12, 11, 8, 10, 11, 10, 9, 9, 10, 8, 4, 4, 6, 6, 8, 8, 9, 10, 9, 7, 7, 8, 9, 8, 3, 3, 4, 4, 4, 7, 7, 9, 11, 11, 15, 14, 15, 14, 12, 12, 13, 11, 11, 12, 13, 12, 9, 11, 12, 11, 10, 10, 11, 9, 5, 5, 7, 7, 9, 9, 10, 11, 10, 8, 8, 9, 10, 9, 2, 2, 3, 4, 4, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 6, 6, 8, 8, 8, 7, 7, 9, 10, 9, 12, 11, 12, 13, 13, 13, 13, 10, 10, 12, 11, 12, 13, 13, 13, 13, 10, 4, 4, 7, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 8, 8, 10, 9, 9, 10, 8, 4, 4, 7, 8, 6, 6, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 10, 10, 11, 10, 10, 11, 10, 10, 11, 10, 9, 11, 10, 11, 9, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 9, 8, 9, 8, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 7, 10, 10, 9 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 4, 4, 0, 2, 1, 1, 2, 0, 5, 5, 0, 2, 1, 1, 0, 6, 6, 6, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 7, 2, 2, 9, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 11, 2, 2, 2, 2, 2, 13, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 2, 0, 7, 7, 2, 1, 2, 2, 2, 7, 7, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 3, 2, 3, 1, 0, 2, 0, 3, 3, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 3, 2, 3, 1, 0, 2, 0, 3, 3, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 0, 8, 8, 1, 8, 8, 8, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 3, 3, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 0, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 3, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 3, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2361, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 2304, 1188, 629, 81, 271, 81, 4108, 203, 823, 17780, 42674, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 18470, 78, 105, 29, 8169, 6505, 9732, 37851, 8169, 508, 33, 1071, 78, 11952, 2805, 3424, 10228, 91, 4310, 49, 66, 46, 314, 8828, 78, 105, 81, 6155, 2502, 2805, 3424, 9905, 284, 617, 24685, 280, 7316, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 9732, 37851, 32, 508, 33, 1071, 49, 91, 47, 41, 39, 41, 81, 35, 37, 40, 38, 37, 35, 35, 40, 42, 34, 370, 291, 330, 954, 39, 950, 330, 39, 34, 88, 41, 43, 87, 34, 39, 2653, 35, 38, 43, 35, 38, 43, 85, 35, 84, 38, 4532, 43, 40, 35, 36, 36, 37, 86, 39, 84, 37, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 41, 39, 41, 81, 35, 37, 40, 38, 37, 35, 35, 40, 42, 34, 370, 324, 330, 407, 950, 330, 1306, 104, 370, 324, 330, 2310, 950, 330, 407, 17939, 631, 6658, 5808, 436, 458, 3932, 107, 497, 20040, 324, 330, 32599, 950, 330, 15060, 88, 40941, 36, 370, 324, 330, 1311, 950, 330, 20132, 707, 48074, 107, 6346, 26403, 25, 291, 320, 284, 801, 301, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 9732, 37851, 32, 508, 33, 1071, 49, 91, 47, 88, 43, 37, 81, 35, 37, 43, 34, 42, 37, 37, 35, 39, 35, 370, 291, 330, 954, 39, 950, 330, 84, 35, 37, 83, 36, 43, 40, 36, 40, 35, 42, 37, 85, 43, 86, 37, 37, 43, 38, 38, 87, 40, 83, 34, 38, 88, 38, 35, 83, 31849, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 88, 43, 37, 81, 35, 37, 43, 34, 42, 37, 37, 35, 39, 35, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 2310, 950, 330, 24025, 1588, 22514, 4051, 11026, 489, 3561, 1957, 600, 27765, 1426, 1071, 623, 4896, 2489, 40988, 5114, 5327, 100, 78, 96, 32945, 544, 17780, 42674, 5749, 38413, 22514, 4051, 3540, 101, 322, 6109, 432, 322, 5788, 7735, 6945, 102, 1426, 87, 470, 318, 328, 4896, 2489, 40988, 5114, 6418, 324, 330, 32599, 950, 330, 7863, 81, 501, 764, 102, 370, 324, 330, 1311, 950, 330, 24025, 1588, 22514, 4051, 1957, 1932, 4896, 2489, 40988, 5114, 4803, 1071, 308, 718, 2060, 14139, 7243, 291, 320, 284, 801, 301, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 9732, 37851, 32, 508, 33, 1071, 49, 91, 47, 38, 88, 41, 81, 35, 37, 43, 36, 40, 42, 41, 41, 41, 43, 370, 291, 330, 954, 39, 950, 330, 38, 36, 85, 40, 86, 43, 41, 86, 39, 38, 88, 35, 1199, 35, 34, 41, 43, 39, 42, 41, 40, 34, 41, 42, 42, 85, 39, 88, 38, 42, 88, 370, 291, 330, 1338, 81, 2665, 950, 301, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 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, 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, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 5, 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, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 5, 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, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 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, 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, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 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, 1, 1, 1, 2, 2, 1, 2, 7, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 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, 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, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 5, 5, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 2, 5, 2 ]
[ 465, 21381, 32368, 203, 1070, 21381, 32368, 32, 3613, 1188, 7502, 974, 203, 465, 15798, 203, 465, 10245, 203, 465, 7138, 203, 465, 21381, 32368, 32, 15636, 203, 6303, 32368, 32, 15636, 32, 2897, 280, 2933, 203, 974, 280, 7502, 974, 203, 823, 9082, 26, 6303, 32368, 32, 2247, 711, 284, 2340, 280, 21381, 32368, 32, 1547, 3012, 346, 284, 665, 1420, 26, 784, 711, 291, 296, 280, 630, 32, 2024, 922, 1676, 463, 105, 683, 291, 296, 32, 1821, 463, 35, 34, 32, 34, 36137, 78, 96, 683, 291, 296, 32, 1821, 463, 38, 32, 34, 37794, 78, 96, 683, 291, 296, 32, 1821, 463, 37, 32, 34, 36137, 78, 96, 683, 291, 296, 32, 2679, 346, 284, 665, 1688, 26, 784, 711, 291, 442, 2032, 26, 784, 32, 770, 32, 20834, 3247, 2868, 33, 3734, 9299, 75, 9299, 95, 9299, 86, 2847, 203, 823, 9082, 3300, 26, 6303, 32368, 32, 2247, 711, 284, 2340, 280, 21381, 32368, 32, 1547, 3012, 346, 284, 665, 7171, 26, 784, 711, 291, 442, 9082, 26, 784, 32, 770, 27, 284, 665, 1420, 26, 784, 711, 291, 630, 32, 4446, 280, 1149, 26, 784, 32, 1131, 922, 1676, 463, 100, 1814, 33232, 1157, 284, 665, 622, 81, 928, 26, 784, 30, 1628, 711, 291, 5168, 30, 12414, 280, 630, 32, 4446, 77, 928, 997, 7201, 922, 2998, 346, 291, 442, 10245, 32, 7697, 26, 5545, 471, 12414, 284, 665, 6153, 26, 784, 711, 291, 442, 3177, 203, 823, 24068, 571, 380, 5996, 26, 6303, 32368, 32, 2247, 711, 284, 2899, 280, 21381, 32368, 32, 3012, 346, 284, 12414, 81, 452, 280, 21381, 32368, 32, 3012, 346, 284, 15053, 81, 27244, 280, 301, 463, 20327, 370, 330, 20327, 7831, 10245, 32, 7697, 26, 35, 471, 2855, 2726, 26922, 370, 330, 20327, 7831, 10245, 32, 7697, 463, 35, 32, 36, 39, 18192, 284, 665, 7171, 26, 784, 711, 291, 442, 630, 32, 2795, 10065, 665, 622, 81, 928, 26, 784, 30, 1628, 711, 291, 5168, 30, 12414, 81, 1070, 280, 630, 32, 2795, 32, 371, 81, 928, 26, 928, 27, 291, 442, 5168, 319, 630, 32, 11431, 81, 27244, 9357, 8084, 81, 1070, 30, 630, 32, 8084, 81, 452, 14155, 630, 32, 8084, 81, 452, 284, 665, 6153, 26, 784, 711, 291, 442, 3177, 203, 823, 11617, 4672, 1006, 26, 18986, 32, 7233, 711, 284, 5881, 1348, 894, 19206, 1196, 688, 8253, 883, 1159, 8253, 619, 3377, 284, 1348, 438, 312, 1829, 26602, 7442, 432, 10365, 564, 81, 858, 32, 978, 1510, 438, 600, 2280, 432, 284, 8253, 15278, 1741, 7029, 623, 1604, 8253, 32, 701, 458, 1135, 30, 312, 2899, 8727, 4674, 284, 2899, 619, 312, 3395, 461, 33845, 561, 32, 284, 8669, 2318, 9804, 81, 858, 32, 978, 436, 600, 2280, 432, 312, 2899, 443, 29996, 4674, 2899, 443, 32, 284, 3182, 322, 4630, 6364, 5257, 30, 1273, 2017, 1182, 6723, 2583, 312, 7002, 6792, 2154, 561, 1597, 284, 10191, 41529, 372, 526, 5300, 372, 745, 688, 32, 439, 3464, 7165, 561, 619, 312, 4201, 894, 372, 1930, 3654, 688, 284, 537, 1340, 4163, 1330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 0, 5, 5, 4, 5, 3, 4, 2, 2, 0, 3, 2, 2, 3, 0, 1, 1, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 7, 6, 7, 7, 6, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 10, 11, 10, 9, 8, 10, 10, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 11, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 1, 1, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 7, 6, 7, 7, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 9, 8, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 15, 14, 15, 14, 13, 12, 14, 14, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 12, 13, 11, 12, 11, 11, 10, 9, 8, 4, 4, 5, 8, 9, 8, 9, 8, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 0, 1, 1, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 7, 9, 9, 7, 9, 9, 6, 8, 9, 8, 9, 8, 5, 5, 9, 9, 7, 9, 9, 6, 8, 9, 8, 10, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 4, 4, 5, 7, 7, 9, 10, 10, 10, 8, 10, 10, 10, 9, 9, 10, 11, 11, 11, 9, 6, 7, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 0, 1, 1, 2, 2, 2, 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 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 8, 8, 2, 0, 0, 1, 2, 2, 8, 8, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 4, 4, 0, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 2, 0, 0, 1, 2, 2, 9, 9, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 4, 4, 1, 0, 2, 1, 1, 1, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 0, 10, 10, 1, 1, 1, 2, 0, 0, 1, 2, 2, 10, 10, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 2, 1, 2, 3, 3, 0, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 11, 11, 1, 1, 2, 0, 1, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1270, 44, 284, 20073, 470, 203, 7343, 3270, 924, 44, 284, 645, 6900, 1188, 1756, 619, 739, 284, 645, 6900, 1188, 12932, 885, 619, 20073, 470, 203, 1270, 44, 284, 1346, 203, 7343, 44, 284, 665, 1346, 26, 27816, 711, 291, 436, 1994, 328, 27182, 44, 324, 415, 1994, 44, 400, 442, 2933, 291, 442, 3177, 203, 1270, 44, 284, 313, 8183, 2296, 15990, 26146, 83, 392, 313, 84, 2131, 284, 665, 1477, 15285, 1813, 26, 466, 30, 34066, 711, 291, 442, 596, 32, 15990, 26, 41456, 27, 203, 7343, 44, 284, 665, 1477, 15285, 1813, 26, 466, 30, 34066, 711, 291, 436, 5202, 328, 34066, 44, 324, 415, 596, 32, 15990, 26, 4254, 711, 400, 442, 2933, 291, 442, 3177, 203, 465, 5237, 203, 465, 3738, 203, 465, 1509, 2238, 203, 465, 26764, 203, 465, 4345, 29822, 203, 1070, 4345, 29822, 1114, 1439, 1188, 32516, 203, 1070, 4345, 29822, 1188, 7396, 730, 972, 203, 465, 8745, 203, 465, 12388, 203, 1070, 12388, 1188, 5122, 22444, 30, 32431, 9878, 36, 6724, 203, 1070, 12388, 1188, 17948, 7452, 30, 7456, 7452, 203, 1070, 12388, 1188, 19325, 7452, 30, 1858, 6738, 2101, 7452, 203, 1070, 12388, 1188, 281, 605, 7452, 30, 7631, 605, 7452, 30, 763, 7452, 203, 1070, 12388, 1188, 2404, 2424, 30, 902, 2208, 984, 30, 26169, 30, 5122, 22444, 203, 1070, 12388, 1188, 4159, 13034, 1943, 7452, 30, 7744, 696, 1031, 13034, 1943, 7452, 203, 589, 3185, 26, 1427, 30, 4345, 4164, 347, 19645, 730, 972, 392, 7328, 47, 2521, 30, 616, 3583, 35087, 101, 47, 1815, 711, 284, 15318, 280, 4345, 29822, 32, 371, 3350, 1796, 26, 3242, 4164, 27, 284, 298, 280, 5780, 2825, 26, 7163, 30, 3583, 35087, 101, 47, 2011, 35087, 101, 27, 284, 442, 298, 32, 2208, 26, 1427, 30, 7328, 47, 8644, 27, 203, 589, 3185, 5756, 26, 1427, 30, 3851, 347, 507, 392, 4345, 4164, 347, 19645, 730, 972, 392, 7328, 47, 2521, 30, 27384, 3583, 35087, 101, 47, 1815, 711, 284, 15318, 280, 4345, 29822, 32, 371, 3350, 1796, 26, 3242, 4164, 27, 284, 298, 280, 5780, 2825, 26, 7163, 30, 3583, 35087, 101, 47, 2011, 35087, 101, 27, 284, 442, 298, 32, 2208, 5756, 26, 1427, 30, 3851, 47, 2630, 30, 7328, 47, 8644, 27, 203, 589, 1411, 81, 27680, 81, 2559, 32095, 26, 1126, 711, 284, 443, 35954, 733, 26, 681, 711, 291, 665, 1156, 890, 3207, 2859, 30, 47362, 30, 26394, 30, 443, 7167, 711, 324, 436, 3879, 558, 30, 3879, 328, 443, 7167, 32, 40957, 2262, 400, 415, 827, 26, 4890, 27, 610, 3738, 32, 44334, 44, 528, 3879, 280, 667, 26, 4890, 27, 400, 443, 7167, 77, 4890, 558, 79, 280, 3879, 324, 442, 225, 827, 3667, 890, 3207, 2859, 30, 47362, 30, 26394, 30, 443, 7167, 27, 284, 442, 35954, 733, 203, 823, 5780, 2825, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4345, 280, 7396, 730, 972, 32, 3350, 1796, 30, 353, 26764, 280, 26764, 32, 4424, 22383, 30, 6523, 280, 3177, 30, 353, 3583, 35087, 101, 280, 2933, 30, 4588, 47, 2700, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 2, 3, 2, 2, 2, 4, 4, 4, 5, 5, 3, 3, 4, 4, 4, 7, 5, 5, 6, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 5, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 10, 5, 5, 6, 0, 1, 1, 1, 1, 7, 7, 6, 5, 8, 8, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 8, 7, 1, 2, 2, 2, 2, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 8, 10, 11, 10, 11, 10, 8, 8, 10, 5, 5, 6, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 2, 4, 3, 5, 5, 5, 5, 2, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 7, 7, 6, 2, 2, 4, 4, 6, 6, 7, 6, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 3, 5, 6, 5, 6, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 3, 2, 2, 3, 5, 5, 2, 4, 3, 5, 5, 5, 5, 2, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 7, 7, 6, 2, 2, 4, 4, 6, 6, 7, 6, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 3, 5, 6, 6, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 7, 9, 8, 8, 7, 7, 10, 9, 10, 9, 7, 7, 9, 12, 13, 12, 10, 10, 11, 12, 9, 9, 9, 12, 12, 14, 15, 14, 8, 8, 12, 11, 12, 12, 11, 10, 10, 6, 6, 7, 7, 9, 10, 10, 10, 9, 9, 9, 9, 9, 9, 10, 9, 2, 2, 3, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 7, 7, 6, 7, 7, 4, 4, 4, 5, 5, 6, 7, 7, 4, 4, 5, 5, 4, 4, 4, 6, 6, 5, 5, 4, 4, 5, 6, 4 ]
[ 0, 0, 0, 0, 0, 0, 3, 3, 1, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 1, 1, 1, 0, 3, 3, 2, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 3, 3, 3, 3, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 4, 4, 1, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 9, 9, 0, 9, 9, 0, 0, 0, 10, 10, 0, 11, 11, 0, 12, 12, 12, 12, 0, 12, 12, 0, 0, 0, 0, 13, 13, 13, 13, 0, 13, 13, 0, 0, 14, 14, 14, 14, 0, 14, 14, 0, 0, 0, 0, 15, 15, 15, 15, 0, 0, 15, 15, 0, 0, 15, 15, 0, 0, 16, 16, 16, 16, 0, 16, 16, 0, 0, 16, 16, 16, 16, 0, 0, 17, 17, 17, 17, 0, 0, 0, 17, 17, 0, 0, 0, 0, 0, 0, 18, 18, 2, 1, 2, 2, 0, 3, 1, 1, 1, 2, 2, 5, 2, 2, 2, 2, 0, 0, 7, 2, 2, 18, 18, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 0, 19, 19, 1, 2, 1, 2, 2, 3, 1, 2, 2, 0, 5, 1, 1, 1, 2, 2, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 19, 19, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 2, 0, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 0, 20, 20, 1, 1, 1, 1, 1, 2, 1, 2, 20, 20, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 2, 2, 0, 0, 0, 4, 4, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 1, 4, 4, 1, 1, 0, 21, 21, 1, 2, 1, 2, 21, 21, 0, 1, 1, 1, 2, 2, 3, 3, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 7, 7, 2, 2, 2, 0, 0, 9, 9, 2, 2, 11, 2, 2 ]
[ 505, 2116, 505, 280, 313, 14919, 479, 551, 6803, 20, 203, 505, 1935, 505, 280, 313, 1232, 6803, 821, 1430, 95, 8057, 1086, 20, 203, 465, 5237, 203, 465, 15798, 203, 1070, 13625, 1188, 41829, 203, 1070, 1619, 1356, 1188, 15386, 1222, 1572, 30, 1619, 4018, 203, 1070, 894, 32, 858, 81, 3592, 1188, 1420, 81, 18986, 203, 823, 7502, 1222, 1572, 26, 4815, 1222, 1572, 711, 284, 665, 1156, 1664, 3207, 784, 30, 4479, 711, 291, 15386, 1222, 1572, 3667, 1664, 3207, 784, 30, 4479, 27, 291, 630, 32, 1403, 81, 10910, 280, 3177, 291, 630, 32, 4775, 81, 10910, 280, 3177, 291, 630, 32, 4775, 81, 1132, 280, 1665, 284, 665, 1156, 1403, 3207, 784, 711, 291, 630, 32, 1403, 81, 10910, 280, 2933, 291, 442, 15386, 1222, 1572, 3667, 1403, 3207, 784, 27, 284, 665, 1156, 4775, 3207, 784, 30, 827, 30, 786, 30, 27374, 711, 291, 630, 32, 4775, 81, 10910, 280, 2933, 291, 630, 32, 4775, 81, 1132, 280, 308, 681, 30, 786, 30, 27374, 27, 291, 442, 15386, 1222, 1572, 3667, 4775, 3207, 784, 30, 827, 30, 4180, 786, 30, 27374, 27, 203, 589, 4395, 81, 1819, 4018, 26, 1298, 711, 284, 665, 9332, 2740, 1132, 30, 1115, 38103, 711, 291, 442, 7502, 1222, 1572, 26, 1298, 2740, 1132, 30, 1115, 38103, 490, 284, 442, 9332, 203, 823, 7502, 2291, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 107, 48671, 280, 3177, 291, 630, 32, 32100, 280, 3177, 203, 50, 3613, 81, 1819, 4018, 203, 589, 4395, 81, 1819, 4018, 81, 7101, 2262, 284, 4395, 280, 7502, 2291, 346, 284, 1596, 44, 291, 4395, 32, 107, 48671, 280, 2933, 291, 6761, 4395, 284, 8295, 44, 291, 4395, 32, 32100, 280, 2933, 203, 823, 31954, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 35312, 711, 291, 630, 32, 35312, 280, 39143, 291, 630, 32, 1403, 318, 280, 1665, 284, 665, 1156, 1403, 3207, 784, 711, 291, 415, 630, 32, 1403, 318, 438, 646, 1665, 44, 324, 3636, 26405, 440, 1222, 438, 646, 316, 33408, 657, 291, 630, 32, 1403, 318, 280, 41829, 346, 291, 14447, 280, 1605, 291, 1596, 44, 324, 436, 42068, 328, 630, 32, 35312, 44, 400, 14447, 32, 1689, 26, 16397, 3667, 1403, 505, 1157, 400, 630, 32, 1403, 318, 32, 1689, 1873, 26, 16397, 27, 291, 2940, 44, 324, 415, 646, 630, 3667, 4775, 45909, 3731, 32, 14806, 81, 1338, 22805, 400, 3636, 291, 442, 14447, 284, 665, 1156, 4775, 3207, 784, 30, 319, 14806, 81, 1338, 711, 291, 538, 280, 13489, 81, 1338, 291, 436, 42068, 328, 630, 32, 1403, 318, 44, 324, 1596, 44, 400, 415, 42068, 3667, 4775, 45909, 327, 711, 528, 538, 280, 308, 2521, 30, 1665, 30, 1665, 27, 324, 2940, 44, 400, 538, 280, 5237, 32, 14806, 81, 1338, 346, 291, 630, 32, 1403, 318, 280, 1665, 291, 415, 538, 438, 646, 13489, 81, 1338, 44, 324, 3636, 538, 77, 34, 614, 538, 77, 35, 614, 538, 77, 36, 79, 203, 823, 7502, 14113, 26, 14113, 711, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 5, 8, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 7, 7, 7, 7, 7, 4, 4, 5, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 7, 7, 9, 9, 11, 9, 9, 11, 9, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 0, 2, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 7, 7, 3, 3, 4, 4, 4, 8, 9, 9, 7, 7, 5, 5, 7, 4, 4, 5, 5, 5, 9, 10, 8, 8, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 6, 6, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 6, 6, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 7, 7, 8, 9, 7, 7, 7, 11, 12, 11, 14, 13, 14, 14, 13, 8, 8, 12, 13, 13, 11, 12, 12, 11, 12, 11, 5, 5, 6, 6, 6, 8, 9, 11, 12, 12, 15, 14, 15, 15, 15, 14, 8, 8, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 6, 4, 3, 3, 6, 6, 7, 7, 4, 4, 5, 5, 5, 6, 7, 7, 5, 5, 5, 7, 7, 7, 9, 11, 12, 12, 13, 11, 9, 9, 12, 12, 14, 13, 13, 13, 13, 13, 7, 7, 8, 8, 8, 11, 11, 13, 14, 14, 14, 13, 4, 4, 7, 8, 8, 6, 6, 4, 4, 5, 6, 6, 6, 7, 7, 5, 5, 5, 7, 9, 10, 9, 8, 9, 10, 9, 8, 9, 10, 9, 0, 1, 1, 2, 2, 3, 2, 1, 1 ]
[ 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, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 1, 2, 2, 2, 6, 6, 0, 0, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 4, 4, 1, 0, 0, 0, 2, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 10, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 4, 4, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 3, 3, 3, 0, 2, 0, 0, 0, 11, 11, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 1, 4, 4, 0, 0, 4, 4, 3, 3, 3, 0, 0, 0, 3, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 5, 5, 0, 2, 2, 0, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 4, 4, 4, 4, 4, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 3, 1, 1, 1, 2, 2, 3, 3, 3, 0, 0, 2, 0, 1, 2, 2, 2, 1, 4, 2, 4, 0, 12, 12, 1, 2, 1, 2, 12, 12 ]
[ 465, 15798, 203, 1070, 15306, 1867, 1188, 3488, 203, 23947, 1305, 81, 8094, 81, 8185, 280, 1524, 203, 465, 6234, 30, 5237, 203, 9453, 280, 6234, 32, 4817, 346, 203, 9453, 32, 470, 46989, 26, 4817, 32, 18634, 81, 22251, 30, 6234, 32, 3629, 81, 613, 4855, 8588, 30, 225, 35, 27, 203, 9453, 32, 2539, 39109, 5007, 370, 225, 36, 35, 37, 38, 490, 203, 9453, 32, 12220, 26, 35, 27, 203, 3731, 32, 9362, 32, 1821, 463, 2584, 683, 203, 3731, 32, 9362, 32, 9321, 346, 203, 3781, 280, 7503, 32, 7494, 8532, 34, 79, 203, 3781, 32, 2714, 464, 26, 84, 25, 7656, 683, 203, 2993, 203, 823, 17727, 9824, 1006, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 3488, 32, 944, 81, 858, 81, 1163, 346, 291, 645, 15306, 1867, 32, 12023, 32, 12329, 32, 9404, 81, 7133, 1188, 17727, 9824, 291, 630, 32, 7133, 280, 17727, 9824, 26, 9404, 81, 3781, 81, 314, 1057, 9404, 81, 1536, 683, 291, 630, 32, 7133, 32, 1347, 81, 2035, 81, 678, 81, 1553, 280, 2933, 284, 665, 894, 81, 9404, 81, 3841, 26, 784, 711, 291, 14949, 81, 7133, 280, 630, 32, 7133, 32, 371, 81, 3781, 346, 291, 630, 32, 25839, 1337, 2521, 26, 9404, 81, 7133, 27, 284, 665, 894, 81, 25169, 26, 784, 711, 291, 1459, 440, 7085, 973, 6562, 7503, 657, 291, 1188, 16539, 291, 1188, 6234, 291, 630, 32, 1786, 81, 2956, 280, 16539, 32, 45606, 14141, 2958, 392, 4825, 85, 392, 37884, 1305, 81, 8094, 81, 8185, 614, 13588, 12532, 47, 27958, 32, 18165, 27, 291, 1459, 440, 7085, 973, 29403, 657, 291, 623, 630, 32, 7133, 32, 1297, 81, 25169, 26, 36, 35, 37, 39, 30, 225, 36, 35, 37, 38, 711, 324, 1459, 440, 24376, 973, 657, 324, 2145, 81, 2024, 280, 630, 32, 1786, 81, 2956, 32, 9362, 32, 850, 26, 39, 27, 324, 630, 32, 5299, 26, 1786, 81, 2024, 30, 323, 20, 2584, 657, 324, 1459, 440, 40617, 372, 2145, 4729, 29403, 657, 324, 309, 280, 6234, 32, 4817, 346, 324, 309, 32, 3517, 26146, 5007, 392, 225, 36, 35, 37, 39, 490, 324, 1459, 440, 435, 35141, 28138, 829, 324, 1789, 280, 309, 32, 12084, 26, 39, 27, 324, 630, 32, 5299, 26, 1986, 30, 323, 20, 7656, 657, 324, 1459, 440, 23764, 3387, 657, 324, 309, 32, 2679, 346, 324, 1459, 440, 21054, 436, 7503, 21850, 324, 1688, 30, 617, 280, 630, 32, 1786, 81, 2956, 32, 508, 48275, 346, 324, 630, 32, 5299, 26, 784, 32, 1786, 81, 2956, 32, 601, 687, 30, 225, 34, 27, 324, 1459, 440, 23764, 29403, 657, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 4, 4, 5, 7, 6, 7, 6, 7, 6, 7, 7, 7, 5, 5, 7, 4, 4, 7, 8, 6, 6, 8, 8, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 9, 4, 4, 5, 4, 4, 5, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 11, 11, 9, 11, 11, 9, 10, 10, 10, 10, 10, 9, 8, 8, 9, 11, 10, 11, 8, 4, 4, 7, 9, 9, 9, 9, 4, 4, 5, 10, 11, 9, 10, 10, 10, 9, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 9, 5, 5, 9, 11, 11, 11, 6, 6, 9, 9, 8, 8, 12, 13, 13, 13, 11, 12, 10, 11, 10, 11, 10, 6, 6, 9, 10, 9, 10, 10, 10, 9, 9, 11, 11, 11, 6, 6, 9, 11, 11, 11, 11, 11, 11, 6, 6, 8, 8, 10, 11, 10, 6, 6, 9, 10, 9, 12, 12, 10, 11, 11, 11, 11, 10, 6, 6, 9, 11, 11, 11, 9, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 10, 9, 10, 9, 9, 11, 11, 11, 6, 6, 9, 11, 11, 11, 6, 6, 9, 10, 9, 6, 6, 9, 11, 11, 11, 11, 6, 6, 9, 9, 8, 8, 11, 12, 12, 12, 10, 11, 11, 10, 6, 6, 9, 10, 9, 12, 11, 12, 12, 12, 10, 11, 11, 9, 9, 10, 9, 6, 6, 9, 11, 11, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 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, 2, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 0, 1, 2, 1, 4, 1, 6, 6, 6, 1, 1, 0, 4, 4, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 4, 4, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 5, 5, 5, 5, 5, 1, 1, 1, 3, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 4, 4, 5, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 5, 5, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 1, 3, 3, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 0, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 3, 1, 3, 3, 1, 1, 1, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 31358, 81, 23071, 203, 2116, 44, 313, 75, 278, 297, 8085, 272, 2600, 11931, 69, 8293, 6637, 4731, 203, 1648, 81, 11043, 44, 313, 36, 32, 38, 20, 203, 4021, 81, 2310, 44, 10945, 31411, 22618, 7431, 299, 4448, 308, 20978, 27, 203, 2310, 44, 284, 429, 313, 2272, 2297, 6972, 1591, 372, 308, 268, 27, 5536, 31411, 10282, 23134, 5167, 32, 1568, 2030, 5251, 322, 3619, 2961, 10079, 4262, 4253, 372, 17504, 623, 31358, 32, 1348, 2297, 9567, 1568, 322, 5383, 12962, 558, 619, 4487, 619, 322, 1202, 6772, 461, 13969, 953, 6772, 11581, 3107, 203, 15965, 44, 284, 429, 313, 2958, 31, 978, 2961, 10079, 2377, 225, 34, 32, 35, 39, 20, 203, 2184, 44, 284, 1603, 44, 291, 2129, 44, 901, 291, 1244, 44, 313, 2689, 20, 291, 16682, 44, 428, 5024, 30, 40118, 1481, 291, 3048, 44, 324, 429, 14071, 322, 10282, 23134, 1326, 1395, 2307, 556, 646, 30, 15137, 2125, 415, 322, 1603, 438, 3449, 645, 2769, 438, 32704, 32, 284, 19272, 44, 291, 2129, 44, 901, 291, 1244, 44, 313, 5567, 36, 39, 40, 20, 291, 3048, 44, 324, 429, 36272, 1654, 1412, 23134, 322, 10282, 23134, 1326, 623, 322, 945, 1202, 284, 945, 678, 81, 983, 44, 291, 2129, 44, 861, 291, 3048, 44, 324, 429, 5380, 372, 322, 945, 678, 372, 793, 1412, 23134, 322, 10282, 23134, 1326, 284, 945, 678, 81, 4617, 16096, 44, 291, 2129, 44, 901, 291, 3048, 44, 324, 429, 886, 45070, 436, 322, 945, 678, 32, 284, 1503, 44, 291, 2129, 44, 901, 291, 1244, 44, 225, 35, 291, 3048, 44, 324, 429, 3036, 432, 322, 10282, 23134, 1326, 284, 7650, 44, 291, 2129, 44, 901, 291, 1244, 44, 3177, 291, 16682, 44, 428, 2933, 30, 3177, 1481, 291, 3048, 44, 324, 429, 9043, 322, 10282, 23134, 1326, 526, 28571, 40701, 810, 458, 28520, 2297, 284, 1519, 44, 291, 2129, 44, 861, 291, 3048, 44, 324, 429, 3270, 432, 322, 803, 1991, 1510, 322, 4723, 31411, 10282, 23134, 1326, 1098, 526, 6638, 284, 5383, 44, 291, 2129, 44, 901, 291, 3048, 44, 324, 429, 3891, 33, 853, 11847, 688, 1098, 526, 5024, 328, 322, 5383, 636, 1600, 432, 322, 10282, 23134, 1326, 32, 324, 429, 1670, 844, 1849, 372, 6377, 1829, 2784, 1591, 786, 623, 322, 2432, 1202, 30, 793, 312, 1149, 619, 786, 32, 291, 1503, 81, 11043, 44, 330, 36, 32, 39, 25, 284, 10769, 81, 426, 44, 291, 2129, 44, 901, 291, 20664, 44, 428, 330, 53, 370, 330, 7035, 558, 25, 1481, 291, 3048, 44, 324, 429, 10769, 558, 1600, 432, 322, 10282, 23134, 1326, 5383, 284, 1603, 81, 271, 81, 14645, 81, 426, 44, 291, 2129, 44, 901, 291, 20664, 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, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 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, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 46624, 1188, 17221, 1006, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 1508, 203, 465, 3984, 106, 619, 13736, 203, 823, 2108, 6720, 66, 9405, 26, 1473, 711, 284, 6436, 47, 35, 3701, 477, 17614, 284, 665, 4705, 1339, 26, 6933, 711, 291, 1596, 44, 324, 1188, 12643, 619, 6121, 291, 2940, 29986, 44, 324, 3636, 17221, 1006, 463, 66, 9405, 646, 3304, 11834, 284, 665, 1156, 1664, 3207, 784, 30, 8063, 291, 3649, 6121, 291, 1188, 12643, 619, 6121, 291, 630, 32, 100, 280, 6121, 32, 2356, 32, 3855, 32, 6096, 1078, 26, 7389, 47, 39, 27, 291, 34713, 280, 630, 32, 100, 32, 3855, 81, 4032, 7983, 26, 35, 30, 225, 35, 34, 30, 1334, 4310, 37, 30, 36, 490, 291, 312, 280, 2107, 51, 370, 330, 52, 370, 330, 53, 785, 291, 323, 280, 2107, 54, 370, 330, 51, 370, 330, 55, 785, 291, 5018, 280, 6121, 32, 11364, 26, 28357, 30, 6090, 11414, 3292, 370, 330, 8030, 3490, 291, 5018, 77, 34, 79, 280, 312, 4456, 5018, 710, 84, 785, 280, 323, 4456, 630, 32, 1479, 280, 5018, 284, 665, 1201, 81, 2228, 26, 784, 30, 570, 35, 30, 570, 36, 711, 291, 1201, 81, 1508, 26, 13736, 32, 297, 81, 297, 47758, 26, 57, 35, 30, 570, 36, 30, 6731, 81, 2872, 47, 5962, 816, 30, 533, 44, 816, 610, 533, 9658, 284, 665, 894, 81, 1070, 81, 25063, 81, 464, 81, 2437, 26, 784, 30, 8063, 291, 570, 1508, 280, 13736, 32, 3406, 2009, 463, 55, 370, 330, 53, 370, 5053, 8030, 950, 225, 43, 30, 330, 3292, 950, 225, 35, 34, 13431, 7686, 2726, 52, 370, 330, 51, 370, 5053, 8030, 950, 225, 35, 30, 330, 3292, 950, 225, 41, 13431, 7686, 2726, 51, 370, 330, 54, 370, 5053, 8030, 950, 225, 41, 30, 330, 3292, 950, 225, 38, 1748, 1130, 291, 570, 47, 8462, 32, 1070, 81, 24464, 81, 25063, 26, 784, 32, 1479, 30, 225, 34, 30, 330, 84, 370, 2933, 27, 291, 630, 32, 862, 81, 2228, 26, 57, 30, 570, 1508, 27, 284, 665, 894, 81, 1070, 81, 25063, 81, 6844, 81, 2437, 26, 784, 30, 8063, 291, 570, 1508, 280, 13736, 32, 3406, 2009, 463, 55, 370, 330, 53, 370, 5053, 8030, 950, 225, 43, 30, 330, 3292, 950, 225, 35, 34, 13431, 7686, 2726, 52, 370, 330, 51, 370, 5053, 8030, 950, 225, 35, 30, 330, 3292, 950, 225, 41, 13431, 7686, 2726, 51, 370, 330, 54, 370, 5053, 8030, 950, 225, 41, 30, 330, 3292, 950, 225, 38, 1748, 1130, 291, 570, 47, 8462, 32, 1070, 81, 24464, 81, 25063, 26, 784, 32, 1479, 30, 225, 34, 30, 330, 84, 370, 2107, 3292, 370, 330, 8030, 3490, 291, 630, 32, 862, 81, 2228, 26, 57, 30, 570, 1508, 27, 284, 665, 894, 81, 1070, 81, 25063, 81, 658, 81, 2437, 26, 784, 30, 8063, 291, 570, 1508, 280, 13736, 32, 3406, 2009, 463, 55, 370, 330, 53, 370, 5053, 3292, 950, 225, 35, 34, 13431, 7686, 2726, 52, 370, 330, 51, 370, 5053, 3292, 950, 225, 41 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 2, 2, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 5, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 6, 6, 8, 9, 9, 6, 6, 7, 7, 7, 7, 9, 11, 11, 13, 13, 13, 13, 13, 2, 2, 3, 4, 4, 5, 4, 4, 3, 3, 5, 4, 4, 5, 6, 6, 4, 4, 7, 8, 6, 6, 10, 11, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 9, 11, 10, 11, 10, 4, 4, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 4, 4, 6, 6, 8, 9, 8, 9, 8, 8, 9, 12, 12, 10, 12, 12, 4, 4, 7, 8, 7, 6, 6, 4, 4, 7, 9, 9, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 9, 10, 10, 10, 10, 9, 10, 10, 9, 9, 10, 9, 9, 11, 11, 10, 11, 11, 12, 12, 11, 11, 12, 12, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 7, 6, 6, 8, 9, 8, 10, 12, 12, 10, 12, 12, 10, 14, 14, 12, 13, 11, 11, 14, 14, 12, 13, 13, 11, 9, 9, 12, 12, 10, 12, 12, 10, 14, 14, 12, 13, 11, 11, 14, 14, 12, 13, 11, 9, 9, 12, 12, 10, 12, 12, 10, 14, 14, 12, 13, 11, 11, 14, 14, 12, 13, 11, 9, 4, 4, 6, 9, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 8, 8, 10, 10, 8, 8, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 7, 6, 6, 8, 9, 8, 10, 12, 12, 10, 12, 12, 10, 14, 14, 12, 13, 11, 11, 14, 14, 12, 13, 13, 11, 9, 9, 12, 12, 10, 12, 12, 10, 14, 14, 12, 13, 11, 11, 14, 14, 12, 13, 11, 9, 9, 12, 12, 10, 12, 12, 10, 14, 14, 12, 13, 11, 11, 14, 14, 12, 13, 11, 9, 4, 4, 6, 9, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 8, 8, 9, 8, 8, 10, 10, 8, 11, 11, 9, 11, 11, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 7, 6, 6, 8, 9, 8, 10, 12, 12, 10, 12, 12, 10, 14, 14, 12, 13, 13, 11, 9, 9, 12, 12, 10, 12, 12, 10, 14, 14, 12, 13 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 0, 4, 4, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 2, 3, 2, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 2, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 1, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 3, 3, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 0, 0, 5, 2, 2, 1, 1, 2, 2, 3, 3, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 5, 5, 1, 2, 3, 2, 2, 5, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 1, 2, 5, 5, 1, 2, 3, 2, 5, 1, 1, 1, 2, 5, 1, 2, 5, 1, 2, 1, 2, 5, 5, 1, 2, 3, 2, 5, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 5, 5, 1, 2, 3, 2, 2, 5, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 1, 2, 5, 5, 1, 2, 3, 2, 5, 1, 1, 1, 2, 5, 1, 2, 5, 1, 2, 1, 2, 5, 5, 1, 2, 3, 2, 5, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 2, 7, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 6, 6, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 5, 1, 1, 1, 2, 3, 1, 2, 3, 1, 2, 1, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 37632, 14507, 81, 26580, 280, 5053, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 370, 528, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 6040, 203, 24021, 2893, 280, 5881, 203, 1647, 44, 354, 7224, 81, 761, 203, 2116, 44, 44068, 2518, 107, 506, 15330, 3418, 477, 13452, 1396, 498, 3187, 11931, 5092, 2518, 107, 20194, 3418, 27, 203, 4021, 81, 2310, 44, 2772, 12474, 312, 537, 556, 7775, 600, 4905, 40475, 803, 1991, 13452, 1396, 354, 6997, 2145, 203, 2310, 44, 284, 429, 2772, 12474, 312, 537, 556, 7775, 600, 4905, 3488, 3079, 556, 10153, 3079, 1991, 322, 13452, 1396, 354, 6997, 2145, 32, 397, 3367, 3377, 1631, 526, 739, 619, 4706, 4886, 32, 203, 8886, 44, 284, 429, 33242, 322, 13452, 1396, 354, 7224, 31, 1580, 4865, 2652, 544, 322, 3408, 32, 1348, 438, 619, 8792, 619, 397, 390, 26, 9060, 2443, 354, 7224, 31, 1580, 27, 203, 1648, 81, 11043, 44, 313, 36, 32, 38, 20, 203, 2184, 44, 334, 354, 7224, 81, 639, 44, 284, 3048, 44, 275, 429, 24991, 354, 6997, 2145, 4600, 2965, 30, 1631, 526, 739, 619, 676, 9674, 81, 2027, 4706, 2677, 32, 284, 2129, 44, 861, 334, 354, 7224, 81, 496, 44, 284, 3048, 44, 275, 429, 354, 6997, 2145, 952, 30, 1631, 526, 739, 619, 676, 9674, 81, 4975, 4706, 2677, 32, 284, 2129, 44, 861, 334, 354, 7224, 81, 2895, 44, 284, 3048, 44, 275, 429, 354, 6997, 2145, 3882, 30, 1631, 526, 739, 619, 676, 9674, 81, 13001, 4706, 2677, 32, 284, 2129, 44, 861, 334, 354, 7224, 81, 11234, 81, 639, 44, 284, 3048, 44, 275, 429, 43800, 354, 6997, 2145, 4600, 2965, 30, 1631, 526, 739, 619, 676, 9674, 81, 23790, 4518, 81, 2027, 4706, 2677, 32, 334, 354, 7224, 81, 1684, 44, 284, 3048, 44, 275, 429, 11977, 436, 2498, 4212, 372, 6153, 30, 1631, 526, 739, 619, 676, 9674, 81, 16718, 4706, 2677, 32, 284, 827, 44, 1560, 284, 1244, 44, 330, 7134, 25, 334, 354, 7224, 81, 641, 81, 625, 44, 284, 3048, 44, 275, 429, 354, 6997, 2145, 24859, 2601, 1451, 30, 1631, 526, 739, 619, 676, 9674, 81, 30403, 81, 3624, 4706, 2677, 32, 284, 1244, 44, 225, 36, 35, 42, 43, 334, 354, 7224, 81, 525, 81, 625, 44, 284, 3048, 44, 275, 429, 354, 6997, 2145, 4808, 2601, 1451, 30, 1631, 526, 739, 619, 676, 9674, 81, 5068, 81, 3624, 4706, 2677, 32, 284, 1244, 44, 225, 36, 35, 42, 42, 334, 354, 7224, 81, 5457, 44, 284, 3048, 44, 275, 429, 24459, 432, 1133, 372, 4465, 436, 2498, 4212, 13364, 428, 6360, 614, 275, 429, 1631, 526, 739, 619, 676, 9674, 81, 14247, 4706, 2677, 32, 284, 1244, 44, 225, 40, 34, 334, 354, 7224, 81, 539, 81, 6482, 44, 284, 3048, 44, 275, 429, 1670, 390, 26, 1347, 471, 600, 4808, 3387, 1098, 526, 1654, 4174, 432, 322, 1244, 24859, 3387 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]