Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
depths
listlengths
512
512
sibling_idxs
listlengths
512
512
[ 465, 15798, 203, 1070, 345, 3434, 32, 716, 32, 14577, 5148, 391, 6308, 1188, 32635, 5148, 391, 3300, 203, 823, 2108, 23449, 5148, 391, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 2763, 6777, 280, 5587, 33932, 33, 605, 33, 1776, 1703, 81, 35, 39, 31, 38, 43, 31, 37, 39, 31, 43, 41, 42, 81, 2029, 41, 34, 34, 14276, 32, 2760, 20, 291, 630, 32, 6308, 280, 32635, 5148, 391, 3300, 346, 284, 665, 28921, 26, 784, 711, 291, 3097, 284, 665, 894, 81, 1297, 26, 784, 711, 291, 630, 32, 6549, 26, 1815, 30, 313, 6873, 3502, 6187, 5929, 4705, 657, 284, 665, 894, 81, 850, 81, 30697, 26, 784, 711, 291, 345, 3434, 280, 630, 32, 6308, 32, 850, 26, 784, 32, 2763, 6777, 27, 291, 630, 32, 47628, 26, 33932, 32, 371, 81, 893, 8532, 34, 614, 1378, 41, 34, 32, 39, 34, 30, 7686, 3124, 347, 2232, 47095, 1994, 438, 1491, 8464, 657, 291, 630, 32, 47628, 26, 33932, 32, 371, 81, 893, 346, 6448, 35, 614, 1378, 40, 42, 32, 35, 37, 30, 7686, 3124, 347, 2135, 309, 1001, 288, 5310, 1994, 438, 1491, 8464, 657, 291, 630, 32, 6549, 26, 33932, 32, 371, 81, 893, 922, 891, 610, 225, 36, 34, 38, 42, 30, 7686, 313, 11015, 1451, 432, 4702, 1491, 657, 284, 665, 894, 81, 850, 81, 105, 29055, 101, 26, 784, 711, 291, 345, 3434, 280, 630, 32, 6308, 32, 850, 26, 784, 32, 2763, 6777, 27, 291, 630, 32, 47628, 26, 33932, 32, 371, 81, 105, 29055, 101, 8532, 34, 614, 1378, 35, 42, 41, 32, 36, 39, 39, 319, 225, 35, 34, 1115, 429, 43, 30, 7686, 3124, 347, 2232, 47572, 1994, 438, 1491, 8464, 657, 291, 630, 32, 47628, 26, 33932, 32, 371, 81, 105, 29055, 101, 346, 6448, 35, 614, 1378, 35, 35, 34, 37, 32, 42, 39, 36, 319, 225, 35, 34, 1115, 429, 43, 30, 7686, 3124, 347, 2135, 47572, 1994, 438, 1491, 8464, 657, 291, 630, 32, 6549, 26, 33932, 32, 371, 81, 105, 29055, 101, 922, 891, 610, 225, 36, 34, 38, 42, 30, 7686, 313, 11015, 1451, 432, 4702, 1491, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 8, 4, 4, 7, 8, 7, 11, 10, 11, 11, 11, 10, 9, 8, 7, 8, 8, 8, 8, 8, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 11, 10, 11, 11, 11, 10, 8, 10, 8, 7, 8, 8, 8, 8, 8, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 12, 11, 12, 12, 12, 11, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 8, 4, 4, 7, 8, 7, 11, 10, 11, 11, 11, 11, 11, 10, 9, 8, 7, 9, 9, 9, 9, 9, 9, 9, 8, 8, 10, 10, 9, 9, 11, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 11, 10, 11, 11, 11, 11, 11, 10, 8, 10, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 10, 10, 9, 9, 11, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 12, 11, 12, 12, 12, 12, 12, 11, 10, 8, 8, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 4, 4, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 4, 4, 1, 2, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 2, 2, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 2, 2, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 13092, 203, 1070, 9991, 32, 3477, 32, 2304, 1188, 739, 81, 1647, 81, 1132, 30, 4323, 81, 1260, 30, 3547, 81, 1260, 30, 35603, 4976, 2526, 30, 35603, 8112, 2526, 203, 1070, 28520, 32, 1647, 81, 2304, 1188, 6550, 203, 1070, 28520, 32, 3477, 32, 4573, 32, 1553, 81, 1493, 1188, 18578, 81, 2035, 203, 8460, 280, 5053, 426, 950, 330, 3986, 370, 330, 12288, 38, 31, 2468, 950, 330, 35, 43, 36, 32, 35, 40, 42, 32, 34, 32, 35, 39, 6040, 203, 6037, 81, 39430, 280, 5053, 426, 950, 330, 3986, 370, 330, 639, 81, 2468, 950, 330, 35, 43, 36, 32, 35, 40, 42, 32, 34, 32, 35, 39, 6040, 203, 8758, 81, 39430, 280, 5053, 426, 950, 330, 3986, 370, 330, 639, 81, 2468, 950, 330, 35, 43, 36, 32, 35, 40, 42, 32, 34, 32, 35, 40, 6040, 203, 6691, 81, 39430, 280, 5053, 426, 950, 330, 3986, 370, 330, 1293, 950, 330, 3596, 304, 6040, 203, 823, 2108, 26529, 3663, 26, 1473, 711, 284, 2297, 280, 18578, 81, 2035, 284, 477, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 284, 665, 2297, 81, 3613, 26, 784, 30, 47737, 711, 291, 442, 47737, 32, 2675, 32, 12565, 26, 6390, 32, 1045, 21581, 2459, 30, 4323, 81, 1260, 47, 4775, 81, 1260, 30, 3547, 81, 1260, 47, 5066, 81, 1260, 27, 284, 477, 12408, 32, 12940, 284, 665, 3387, 81, 3613, 26, 784, 30, 47737, 711, 291, 3387, 81, 823, 81, 3613, 280, 47737, 32, 2675, 463, 19441, 32, 3477, 32, 4573, 32, 1553, 81, 1493, 32, 17141, 81, 2035, 32, 2798, 683, 291, 442, 3387, 81, 823, 81, 3613, 32, 601, 81, 853, 284, 477, 12408, 32, 12940, 284, 665, 622, 81, 2035, 81, 36, 34, 34, 26, 784, 30, 47737, 711, 291, 4395, 81, 1126, 280, 47737, 32, 2675, 463, 19441, 32, 3477, 32, 4573, 32, 1553, 81, 1493, 32, 17141, 81, 2035, 32, 371, 81, 2035, 683, 291, 4395, 81, 1126, 32, 601, 81, 853, 280, 308, 36, 34, 34, 30, 19350, 27, 291, 442, 4395, 81, 1126, 32, 601, 81, 853, 284, 477, 12408, 32, 12940, 284, 665, 622, 81, 2035, 81, 38, 34, 38, 26, 784, 30, 47737, 711, 291, 4395, 81, 1126, 280, 47737, 32, 2675, 463, 19441, 32, 3477, 32, 4573, 32, 1553, 81, 1493, 32, 17141, 81, 2035, 32, 371, 81, 2035, 683, 291, 4395, 81, 1126, 32, 601, 81, 853, 280, 308, 38, 34, 38, 30, 330, 959, 646, 2431, 683, 291, 442, 4395, 81, 1126, 32, 601, 81, 853, 284, 665, 894, 81, 1297, 26, 784, 30, 622, 81, 2035, 81, 38, 34, 38, 30, 3387, 81, 3613, 711, 291, 3387, 81, 3613, 32, 2714, 81, 1357, 32, 601, 81, 853, 280, 308, 36, 34, 34, 30, 19350, 27, 291, 1056, 280, 630, 1114, 1945, 81, 1647, 26, 6037, 81, 39430, 27, 291, 1201, 1056, 710, 8968, 785, 291, 1201, 330, 17141, 81, 15934, 25, 328, 1056, 284, 665, 894, 81, 1297, 81, 805, 36477, 304, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 6, 6, 4, 6, 6, 3, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 6, 6, 4, 6, 6, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 6, 6, 4, 6, 6, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 6, 6, 4, 6, 6, 3, 6, 6, 4, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 5, 2, 2, 7, 6, 7, 6, 8, 8, 7, 8, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 8, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 8, 8, 8, 8, 7, 8, 8, 8, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 8, 8, 8, 5, 5, 6, 8, 8, 7, 8, 8, 8, 2, 2, 6, 5, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 8, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 8, 8, 10, 10, 10, 10, 5, 5, 6, 8, 8, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 9, 9, 8, 9, 9, 9, 7, 8, 8, 8, 6, 6, 8, 8, 8, 7, 7, 7, 4, 4, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 5, 6, 8, 8, 4, 4, 5, 8, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 2, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 6, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 1, 2, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 2, 2, 4, 4, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 4, 4, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 4, 4, 2, 0, 0, 1, 2, 2, 2, 4, 4, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 2, 0, 0, 1, 2, 2, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 2, 5, 5, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 7138, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 5692, 924, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 1040, 1188, 32050, 81, 426, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 9777, 1188, 3907, 2950, 2418, 81, 40047, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 1217, 81, 2304, 1188, 2192, 81, 10513, 81, 3801, 416, 30, 6645, 4672, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 2602, 32, 9777, 1188, 308, 20799, 30, 30292, 30, 17076, 81, 3197, 30, 291, 6272, 81, 20956, 81, 37082, 81, 3364, 30, 6608, 1120, 27, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 2602, 32, 605, 25078, 1188, 14893, 15841, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 2602, 32, 23483, 1188, 358, 67, 815, 3431, 717, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 2602, 32, 1217, 1188, 622, 81, 1174, 81, 1515, 30, 6645, 203, 1070, 8527, 32, 1199, 32, 2304, 1188, 6716, 924, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 32, 25931, 32, 21332, 1188, 8529, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 823, 4428, 8115, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2467, 30, 3387, 30, 1471, 711, 291, 630, 32, 1217, 280, 2467, 291, 630, 32, 3841, 280, 3387, 291, 630, 32, 908, 280, 1471, 291, 630, 32, 7345, 81, 2613, 280, 2149, 291, 630, 32, 24576, 81, 17030, 280, 1605, 291, 630, 32, 24576, 81, 2132, 280, 1605, 284, 665, 1406, 81, 2602, 81, 5522, 26, 784, 711, 291, 415, 646, 630, 32, 1217, 32, 11278, 44, 324, 630, 32, 1217, 32, 2524, 1162, 2521, 30, 630, 32, 1217, 32, 371, 81, 2859, 922, 1199, 81, 1274, 30, 1665, 490, 291, 415, 308, 1206, 630, 32, 1217, 32, 1613, 461, 630, 32, 1217, 32, 1536, 81, 8221, 461, 646, 400, 630, 32, 1217, 32, 29529, 81, 40057, 81, 3378, 711, 324, 630, 32, 1217, 32, 5522, 81, 40057, 81, 3378, 346, 291, 415, 630, 32, 1217, 32, 1613, 81, 10513, 461, 646, 630, 32, 1217, 32, 10513, 81, 1613, 81, 8221, 44, 324, 630, 32, 4157, 81, 10513, 81, 49095, 346, 284, 665, 15358, 81, 426, 81, 23437, 81, 7909, 26, 784, 30, 636, 711, 291, 415, 636, 328, 630, 32, 7345, 81, 2613, 44, 324, 442, 630, 32, 7345, 81, 2613, 77, 426, 79, 291, 415, 1833, 426, 328, 630, 32, 1217, 32, 7909, 81, 1110, 461, 636, 646, 328, 630, 32, 1217, 32, 1274, 81, 1110, 27, 556, 400, 636, 328, 630, 32, 1217, 32, 7615, 81, 1613, 711, 324, 630, 32, 7345, 81, 2613, 77, 426, 79, 280, 636, 324, 442, 636, 291, 540, 280, 630, 32, 3841, 32, 4156, 32, 7345, 81, 426, 26, 426, 27, 291, 630, 32, 7345, 81, 2613, 77, 426, 79, 280, 540, 291, 442, 540, 284, 665, 619, 81, 2602, 26, 784, 30, 623, 81, 13495, 47, 1815, 30, 623, 81, 748, 81, 17030, 47, 2700, 711, 291, 415, 623, 81, 13495, 461, 630, 32, 1217, 32, 741, 81, 1826, 610, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 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, 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, 4, 4, 4, 5, 4, 3, 3, 5, 6, 8, 9, 7, 8, 5, 5, 5, 10, 11, 9, 10, 9, 11, 10, 10, 14, 15, 13, 14, 14, 14, 13, 12, 12, 12, 10, 10, 10, 4, 4, 5, 9, 9, 11, 12, 10, 11, 8, 8, 10, 11, 9, 10, 10, 10, 7, 7, 8, 8, 10, 11, 9, 10, 10, 10, 10, 10, 6, 5, 5, 10, 11, 9, 10, 10, 10, 10, 10, 9, 4, 4, 5, 8, 9, 7, 8, 8, 8, 6, 6, 7, 9, 10, 8, 9, 9, 9, 9, 9, 5, 5, 5, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 9, 10, 10, 10, 8, 9, 8, 4, 4, 5, 11, 10, 10, 12, 13, 11, 12, 12, 12, 9, 9, 10, 10, 10, 12, 13, 11, 12, 12, 12, 8, 7, 7, 7, 8, 8, 10, 11, 9, 10, 10, 10, 6, 5, 5, 10, 11, 11, 11, 9, 10, 9, 8, 8, 6, 6, 7, 4, 4, 6, 6, 10, 11, 9, 10, 8, 9, 9, 9, 8, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 6, 6, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 6, 5, 6, 4, 3, 3, 5, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 6, 6, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 1, 8, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 7, 7, 1, 2, 1, 4, 1, 6, 1, 8, 8, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 1, 6, 1, 8, 9, 9, 0, 0, 0, 0, 9, 9, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 11, 11, 1, 2, 11, 11, 0, 12, 12, 1, 2, 1, 4, 1, 6, 12, 12, 0, 13, 13, 1, 2, 13, 13, 0, 14, 14, 1, 2, 1, 2, 14, 14, 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, 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, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 3, 3, 1, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 0, 0, 0, 4, 4, 4, 4, 4, 3, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 3, 3, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 30, 7976, 81, 465, 203, 505, 1427, 1643, 505, 280, 313, 268, 25120, 878, 931, 20, 203, 505, 464, 505, 280, 2107, 23071, 81, 4873, 370, 330, 297, 419, 4873, 81, 23071, 785, 203, 465, 6436, 619, 2065, 203, 1070, 18414, 1114, 1356, 32, 25931, 1188, 35198, 203, 1070, 31863, 15378, 4280, 1188, 29988, 81, 12467, 545, 30, 29988, 81, 452, 3883, 100, 30, 29988, 81, 998, 81, 8587, 30, 766, 291, 622, 81, 23071, 81, 1113, 4873, 30, 29988, 81, 3287, 81, 2810, 203, 1070, 638, 419, 2304, 1188, 973, 2405, 30, 438, 410, 6228, 30, 6422, 13976, 30, 438, 7508, 30, 622, 81, 1055, 81, 12010, 203, 1070, 638, 15823, 1188, 617, 1729, 81, 4873, 203, 823, 29988, 81, 4873, 2176, 1729, 81, 4873, 30, 6422, 13976, 711, 284, 665, 27224, 26, 784, 30, 1933, 47, 2700, 711, 291, 645, 638, 42738, 1188, 281, 545, 81, 4873, 291, 488, 30, 64, 280, 630, 32, 3229, 291, 442, 281, 545, 81, 4873, 1162, 784, 32, 605, 30, 784, 32, 7711, 30, 784, 32, 552, 1753, 471, 6024, 4310, 64, 30, 63, 471, 1933, 47, 2991, 27, 284, 665, 26907, 335, 26, 784, 711, 291, 645, 638, 15560, 1188, 456, 335, 81, 4873, 291, 456, 335, 280, 456, 335, 81, 4873, 26, 784, 32, 3229, 30, 12010, 47, 784, 32, 12010, 27, 291, 630, 32, 3323, 81, 7711, 346, 16189, 8414, 30, 552, 30, 2901, 280, 630, 32, 552, 1753, 30, 784, 32, 7711, 30, 784, 32, 605, 291, 5760, 30, 706, 280, 456, 335, 32, 2138, 30, 456, 335, 32, 605, 291, 436, 310, 328, 35198, 26, 784, 32, 3229, 77, 34, 10794, 324, 1477, 280, 8414, 77, 96, 79, 324, 943, 280, 8414, 77, 96, 29, 35, 79, 324, 5760, 77, 96, 79, 280, 4842, 77, 1366, 44, 416, 997, 25880, 346, 324, 706, 77, 96, 79, 280, 5219, 77, 1366, 44, 416, 997, 25880, 346, 291, 442, 456, 335, 284, 665, 372, 23071, 26, 784, 30, 1933, 47, 2700, 711, 291, 415, 1933, 44, 324, 442, 630, 32, 2991, 346, 291, 813, 44, 324, 442, 630, 284, 665, 36563, 545, 26, 784, 711, 291, 5417, 81, 12010, 280, 622, 81, 1055, 81, 12010, 1162, 784, 32, 552, 1753, 30, 630, 32, 7711, 471, 1891, 1769, 695, 47, 1449, 26, 784, 32, 3997, 108, 30, 630, 32, 3229, 77, 34, 5259, 291, 4842, 1753, 280, 2065, 32, 2951, 26, 784, 32, 3229, 77, 35, 79, 474, 225, 35, 30, 9710, 47, 2875, 81, 12010, 27, 291, 10193, 280, 2065, 32, 2951, 26, 784, 32, 3997, 108, 30, 9710, 47, 2875, 81, 12010, 27, 291, 706, 280, 2065, 32, 2951, 26, 784, 32, 3997, 108, 30, 9710, 47, 417, 2405, 26, 784, 32, 12010, 490, 291, 29988, 81, 12467, 545, 26, 784, 32, 3229, 77, 34, 614, 630, 32, 3229, 77, 35, 614, 1750, 630, 32, 552, 1753, 32, 15315, 26, 2875, 81, 12010, 471, 1750, 630, 32, 7711, 32, 15315, 26, 2875, 81, 12010, 471, 1750, 630, 32, 605, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 8, 5, 5, 7, 7, 7, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 5, 7, 7, 7, 7, 10, 9, 10, 8, 10, 9, 10, 8, 10, 9, 10, 10, 8, 7, 8, 10, 9, 10, 9, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 5, 5, 7, 7, 7, 4, 4, 7, 6, 6, 8, 8, 8, 8, 10, 9, 10, 8, 10, 9, 11, 10, 11, 8, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 6, 6, 8, 9, 9, 7, 9, 8, 9, 7, 9, 8, 9, 4, 4, 7, 7, 6, 6, 9, 8, 9, 7, 7, 9, 8, 9, 4, 4, 5, 5, 5, 7, 10, 9, 10, 8, 9, 8, 5, 5, 8, 8, 9, 10, 9, 6, 6, 8, 8, 9, 11, 10, 11, 9, 6, 6, 9, 10, 9, 8, 8, 11, 13, 12, 13, 11, 11, 10, 6, 6, 9, 10, 9, 8, 8, 11, 13, 12, 13, 11, 11, 10, 4, 4, 5, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 5, 7, 9, 10, 9, 5, 5, 6, 6, 6, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 11, 10, 11, 11, 9, 9, 10, 11, 9, 8, 8, 10, 9, 11, 11, 13, 12, 13, 13, 11, 11, 13, 14, 12, 13, 12, 4, 4, 7, 6, 6, 8, 9, 8, 12, 11, 12, 10, 11, 10, 9, 9, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 6, 6, 8, 9, 8, 10, 9, 10, 10, 8, 8, 9, 11, 11, 11, 13, 12, 13, 11, 4, 4, 7, 7, 7, 7, 10, 9, 10, 8, 9, 8, 7, 9, 10, 8, 9, 8, 7, 7, 10, 11, 11, 9, 10, 9, 10, 10, 10, 9, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 7, 7, 8, 9, 7 ]
[ 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 9, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 8, 8, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 8, 8, 0, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 3, 2, 1, 0, 5, 2, 2, 1, 1, 3, 1, 2, 3, 2, 1, 5, 2, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 3, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 4, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 4, 4, 5, 5, 5, 1, 0, 0, 2, 1, 2, 1, 5, 5, 0, 0, 2, 2, 2, 5, 5, 0, 0, 2, 0, 2, 2, 2, 5, 5, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 5, 5, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 4, 4, 6, 1, 4, 4, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 4, 4, 4, 0, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 3, 2, 1, 1, 1, 0, 3, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 3, 2, 3, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 3, 2, 3, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 9, 2, 1 ]
[ 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, 10938, 3337, 2188, 528, 330, 7095, 81, 1170, 950, 330, 6989, 1639, 6040, 203, 24021, 2893, 280, 540, 9592, 203, 1559, 203, 1647, 44, 6524, 639, 81, 33858, 81, 5002, 81, 1786, 203, 4021, 81, 2310, 44, 4784, 8522, 506, 39, 26166, 31, 2027, 570, 9027, 3501, 13602, 203, 2310, 44, 334, 429, 4784, 8522, 506, 39, 26166, 31, 2027, 570, 9027, 3501, 13602, 32, 399, 570, 9027, 2145, 883, 1159, 5075, 3501, 13602, 284, 5746, 623, 561, 32, 11228, 884, 26487, 86, 328, 5610, 322, 2432, 3352, 688, 6929, 8999, 884, 284, 372, 39105, 32, 203, 1648, 81, 11043, 44, 225, 36, 32, 40, 203, 2184, 44, 334, 636, 44, 284, 3048, 44, 397, 429, 19009, 322, 636, 432, 322, 3501, 2145, 32, 284, 827, 44, 596, 284, 1503, 81, 11043, 44, 225, 36, 32, 40, 334, 2145, 81, 426, 44, 284, 3048, 44, 397, 429, 19009, 322, 636, 432, 322, 2145, 688, 322, 3501, 2145, 438, 5746, 623, 32, 284, 827, 44, 596, 284, 1503, 81, 11043, 44, 225, 36, 32, 40, 334, 2965, 44, 284, 3048, 44, 397, 429, 19009, 322, 4600, 8983, 432, 322, 3501, 2145, 32, 397, 429, 5076, 6892, 312, 537, 570, 9027, 3501, 2145, 30, 458, 3395, 438, 2129, 32, 284, 827, 44, 596, 284, 1503, 81, 11043, 44, 225, 36, 32, 40, 334, 2601, 44, 284, 3048, 44, 397, 429, 19009, 322, 2719, 2601, 1451, 436, 322, 3501, 2145, 556, 6929, 5809, 32, 2616, 2280, 30, 291, 322, 4808, 2719, 438, 18214, 2601, 225, 42, 34, 32, 397, 429, 2614, 6377, 1169, 14844, 30, 793, 600, 390, 2740, 547, 397, 429, 5076, 6892, 312, 537, 570, 9027, 3501, 2145, 30, 415, 458, 3395, 438, 646, 3191, 30, 312, 291, 1244, 432, 390, 20399, 1098, 526, 1654, 32, 284, 827, 44, 629, 334, 13178, 81, 2468, 44, 284, 3048, 44, 397, 429, 19009, 322, 13178, 4600, 2965, 436, 322, 3501, 2145, 32, 397, 429, 2614, 14014, 458, 3395, 30, 2355, 600, 3502, 802, 308, 53, 34367, 619, 312, 786, 32, 397, 429, 5076, 6892, 312, 537, 570, 9027, 3501, 2145, 30, 415, 458, 3395, 438, 646, 3191, 30, 312, 291, 1244, 432, 390, 13272, 27, 1098, 526, 1654, 32, 284, 827, 44, 596, 284, 1503, 81, 11043, 44, 225, 36, 32, 40, 334, 13178, 81, 625, 44, 284, 3048, 44, 397, 429, 19009, 322, 13178, 2601, 1451, 556, 2719, 636, 436, 322, 3501, 2145, 32, 397, 429, 2614, 6377, 1169, 14844, 30, 793, 600, 390, 2740, 547, 397, 429, 5076, 6892, 312, 537, 570, 9027, 3501, 2145, 30, 415, 458, 3395, 438, 646, 3191, 30, 312, 291, 1244, 432, 390, 20399, 1098, 526, 1654, 32, 284, 827, 44, 596, 284, 1503, 81, 11043, 44, 225, 36, 32, 40, 334, 24144, 81, 15965, 44, 284, 3048, 44, 397, 429, 19009, 30, 415, 844, 18189 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7, 3, 3, 6, 6, 6, 6, 4, 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 ]
[ 0, 0, 0, 0, 0, 0, 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, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 5237, 30, 1133, 30, 5741, 203, 465, 4354, 383, 1323, 203, 465, 3619, 16443, 203, 465, 6677, 36, 203, 1070, 597, 519, 5812, 14265, 1163, 1188, 319, 203, 823, 701, 1323, 1486, 26, 4997, 383, 1323, 32, 1761, 1486, 711, 284, 3649, 538, 2705, 284, 538, 2705, 280, 225, 34, 32, 34, 34, 34, 34, 34, 35, 284, 3649, 12621, 81, 12512, 1139, 1102, 284, 12621, 81, 12512, 1139, 1102, 47, 34, 284, 3649, 12621, 81, 22822, 284, 12621, 81, 22822, 47, 34, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 383, 1323, 1486, 30, 630, 14585, 1664, 16369, 291, 630, 32, 4073, 280, 5741, 32, 10579, 463, 4997, 9071, 383, 1323, 32, 383, 1323, 1486, 683, 291, 630, 32, 4073, 32, 1338, 463, 19661, 600, 1980, 432, 48885, 383, 1323, 32, 383, 1323, 1486, 683, 284, 665, 537, 3033, 26, 784, 30, 343, 711, 291, 630, 32, 4073, 32, 1338, 440, 890, 3298, 313, 474, 343, 32, 47787, 558, 1157, 291, 415, 343, 32, 47787, 558, 346, 610, 20928, 8455, 6471, 44, 324, 630, 32, 4073, 32, 1338, 440, 885, 537, 3298, 904, 101, 11555, 904, 20928, 8455, 6471, 27, 324, 630, 32, 2929, 280, 343, 284, 665, 537, 1653, 26, 784, 30, 298, 711, 291, 630, 32, 4073, 32, 1338, 440, 890, 2804, 6757, 298, 32, 5165, 346, 474, 313, 436, 3298, 6757, 298, 32, 47787, 558, 1157, 291, 415, 630, 32, 2929, 438, 646, 1665, 461, 298, 32, 5165, 346, 610, 313, 16779, 20, 461, 298, 32, 47787, 558, 346, 610, 630, 32, 2929, 32, 47787, 558, 2262, 324, 630, 32, 4073, 32, 1338, 440, 19183, 2804, 13401, 436, 904, 101, 11555, 904, 20928, 8455, 6471, 27, 324, 630, 32, 3517, 3033, 26, 784, 32, 2929, 32, 47787, 558, 1157, 324, 630, 32, 470, 31387, 2101, 26, 35, 30, 630, 32, 2929, 32, 47787, 558, 1026, 1665, 27, 291, 415, 298, 32, 5165, 346, 610, 313, 2201, 54, 81, 1460, 8346, 3360, 563, 324, 630, 32, 11814, 38546, 346, 291, 415, 298, 32, 5165, 346, 610, 313, 13291, 81, 12512, 1139, 1102, 563, 324, 16391, 280, 630, 32, 2929, 32, 37903, 440, 13291, 81, 12512, 1139, 1102, 657, 324, 1459, 2884, 13291, 39478, 44, 6757, 466, 26, 21261, 77, 34, 997, 853, 490, 324, 415, 16391, 77, 34, 997, 853, 9478, 225, 34, 44, 400, 16391, 77, 34, 997, 853, 280, 225, 34, 400, 630, 32, 2714, 1812, 1918, 26, 21261, 27, 291, 415, 298, 32, 5165, 346, 610, 313, 13291, 81, 22822, 563, 324, 8227, 280, 630, 32, 2929, 32, 37903, 440, 13291, 81, 22822, 657, 324, 1459, 2884, 13291, 26569, 44, 6757, 466, 26, 7670, 77, 34, 997, 853, 490, 324, 415, 8227, 77, 34, 997, 853, 9478, 225, 34, 44, 400, 8227, 77, 34, 997, 853, 280, 225, 34, 400, 630, 32, 2714, 1812, 1918, 26, 7670, 27, 284, 665, 3345, 1653, 26, 784, 30, 298, 711, 291, 630, 32, 4073, 32, 1338, 440, 2546, 2804, 6757, 298, 32, 5165, 346, 474, 313, 436, 3298, 6757, 298, 32, 47787, 558, 1157, 284, 665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 2, 2, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 4, 4, 2, 2, 5, 5, 5, 5, 4, 5, 2, 2, 3, 4, 4, 2, 2, 5, 5, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 10, 10, 10, 8, 8, 10, 11, 11, 10, 4, 4, 5, 8, 9, 9, 8, 6, 6, 7, 7, 5, 5, 5, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 6, 6, 9, 10, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 12, 12, 12, 10, 12, 13, 12, 9, 9, 11, 11, 11, 8, 10, 11, 11, 10, 4, 4, 5, 9, 10, 8, 8, 8, 7, 7, 10, 11, 10, 8, 8, 10, 10, 6, 6, 9, 10, 10, 9, 7, 7, 10, 11, 9, 10, 10, 9, 5, 5, 10, 11, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 6, 6, 9, 10, 10, 9, 13, 12, 13, 11, 12, 12, 11, 6, 6, 9, 10, 10, 10, 9, 10, 9, 9, 12, 13, 11, 12, 12, 11, 9, 9, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 9, 10, 10, 9, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 6, 6, 8, 12, 12, 12, 12, 12, 12, 15, 14, 15, 14, 14, 12, 6, 6, 7, 10, 11, 10, 10, 8, 8, 9, 7, 7, 7, 12, 13, 12, 12, 10, 10, 11, 8, 8, 11, 12, 12, 12, 11, 12, 11, 4, 4, 5, 8, 9, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 12, 6, 6, 8, 12, 12, 12, 12, 12, 12, 15, 14, 15, 14, 14, 12, 6, 6, 7, 10, 11, 10, 10, 8, 8, 9, 7, 7, 7, 12, 13, 12, 12, 10, 10, 11, 8, 8, 11, 12, 12, 12, 11, 12, 11, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 12, 12, 12, 10, 12, 13, 12, 9, 9, 11, 11, 11, 8, 10, 11, 11, 10, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 5, 5, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 5, 5, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 4, 4, 4, 1, 1, 4, 4, 0, 0, 0, 2, 4, 4, 6, 1, 1, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 1, 2, 1, 2, 2, 2, 7, 7, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 4, 4, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 0, 2, 0, 0, 4, 4, 8, 1, 2, 1, 2, 2, 2, 8, 8, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 4, 4, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 3, 3, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 3, 3, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 4, 4, 9, 1, 2, 1, 2, 2, 2, 9, 9, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 4, 4 ]
[ 465, 15798, 203, 1270, 44, 284, 1188, 15798, 32, 3613, 619, 4395, 203, 7343, 29986, 44, 284, 1188, 4395, 203, 1070, 8668, 1439, 1664, 1188, 3570, 619, 8668, 1439, 1664, 81, 2957, 203, 1070, 8668, 1439, 1664, 32, 4519, 32, 4255, 1188, 11040, 36, 2122, 203, 1070, 8668, 1439, 1664, 32, 4882, 1188, 894, 2304, 203, 14594, 280, 8668, 1439, 1664, 81, 2957, 32, 14594, 203, 823, 13486, 36, 1183, 1006, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 1114, 2122, 280, 11040, 36, 2122, 32, 6142, 36, 1183, 346, 284, 477, 3613, 32, 2675, 463, 3209, 1439, 1664, 32, 2304, 32, 4573, 32, 1553, 81, 4519, 81, 639, 81, 4351, 683, 284, 477, 3613, 32, 2675, 463, 3209, 1439, 1664, 32, 4519, 32, 4255, 32, 735, 36, 2122, 32, 6142, 36, 1183, 25, 400, 5608, 371, 81, 2035, 81, 426, 683, 284, 665, 617, 858, 81, 944, 26, 784, 30, 4395, 81, 371, 81, 2035, 81, 426, 30, 4395, 81, 1553, 81, 4519, 81, 639, 81, 4351, 30, 4511, 5209, 81, 7469, 711, 291, 4395, 81, 371, 81, 2035, 81, 426, 32, 2671, 81, 7469, 280, 428, 2671, 81, 7469, 79, 291, 623, 894, 2304, 32, 1335, 8784, 746, 265, 463, 3209, 1439, 1664, 32, 4519, 32, 4255, 4564, 9111, 330, 735, 36, 2122, 7831, 324, 1789, 280, 630, 1114, 2122, 32, 944, 346, 291, 4395, 81, 1553, 81, 4519, 81, 639, 81, 4351, 32, 862, 81, 10910, 81, 8232, 81, 1793, 26, 324, 45623, 32, 735, 36, 32, 4519, 81, 1439, 81, 965, 27, 291, 4395, 81, 371, 81, 2035, 81, 426, 32, 862, 81, 10910, 81, 8232, 81, 1793, 346, 291, 415, 5209, 81, 7469, 438, 3268, 44, 324, 630, 32, 14846, 26, 1986, 27, 291, 813, 44, 324, 630, 32, 6549, 26, 1986, 27, 284, 665, 894, 81, 944, 26, 784, 711, 291, 630, 1114, 858, 81, 944, 26, 2671, 81, 7469, 47, 2521, 27, 284, 665, 894, 81, 944, 81, 3893, 26, 784, 711, 291, 630, 1114, 858, 81, 944, 26, 2671, 81, 7469, 47, 984, 27, 284, 477, 3613, 32, 2675, 463, 3209, 1439, 1664, 32, 4519, 32, 4255, 32, 735, 36, 2122, 32, 6142, 36, 1183, 25, 400, 330, 1114, 371, 81, 2613, 81, 605, 683, 284, 665, 894, 81, 371, 81, 2035, 81, 426, 26, 784, 30, 4395, 81, 371, 81, 2613, 81, 605, 711, 291, 1789, 280, 630, 1114, 2122, 32, 371, 81, 2035, 81, 426, 346, 291, 4395, 81, 371, 81, 2613, 81, 605, 32, 862, 81, 10910, 81, 8232, 81, 1793, 26, 324, 6611, 101, 33, 2859, 31, 605, 33, 1696, 31, 12256, 25, 904, 630, 1114, 2122, 1114, 4519, 81, 1648, 30, 324, 9843, 47, 1815, 27, 291, 630, 32, 5299, 26, 3613, 81, 371, 81, 2613, 81, 605, 32, 601, 81, 853, 30, 1789, 27, 284, 477, 3613, 32, 2675, 463, 3209, 1439, 1664, 32, 4519, 32, 4255, 32, 735, 36, 2122, 32, 6142, 36, 1183, 25, 400, 330, 1114, 371, 81, 2613, 81, 605, 683, 284, 665, 894, 81, 371, 81, 2386, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 5, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 3, 3, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 3, 2, 2, 4, 4, 4, 4, 3, 4, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 9, 8, 9, 9, 9, 8, 2, 2, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 5, 4, 4, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 8, 5, 5, 6, 11, 10, 11, 11, 11, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 6, 6, 9, 9, 12, 13, 11, 12, 11, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 10, 11, 11, 9, 10, 10, 10, 10, 10, 8, 5, 5, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 5, 5, 6, 8, 8, 7, 7, 6, 6, 6, 10, 11, 10, 11, 10, 6, 6, 7, 7, 7, 11, 12, 11, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 8, 9, 7, 2, 2, 7, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 5, 5, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 12, 10, 11, 11, 11, 8, 8, 8, 9, 10, 8, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 8, 8, 8, 2, 2, 7, 6, 7, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 3, 3, 3, 3, 3, 0, 0, 2, 2, 0, 0, 2, 2, 3, 3, 2, 2, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 6, 6, 1, 1, 1, 2, 0, 1, 2, 2, 6, 6, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 7, 7, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 4, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 0, 0, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1 ]
[ 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, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 1297, 81, 1274, 463, 8397, 81, 12800, 18267, 370, 308, 324, 2726, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 24174, 4457, 81, 678, 47, 1815, 3662, 324, 2726, 496, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 24174, 452, 47, 494, 710, 2393, 32, 1240, 3490, 471, 324, 2726, 12800, 81, 496, 81, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 5665, 47, 1815, 30, 1769, 81, 1322, 47, 35, 40, 3662, 324, 2726, 7632, 81, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1449, 81, 1322, 47, 36, 39, 39, 30, 3082, 81, 1055, 47, 1815, 3662, 291, 9658, 291, 3082, 32, 2714, 81, 1297, 81, 7295, 463, 8397, 370, 2107, 25554, 10222, 3490, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 1274, 463, 8397, 81, 12800, 18267, 683, 284, 4549, 280, 301, 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, 16357, 370, 5518, 5053, 5665, 950, 330, 1815, 370, 330, 1449, 81, 1322, 950, 330, 42, 34, 45306, 324, 330, 11893, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 46046, 1176, 370, 5518, 5053, 452, 950, 313, 494, 710, 2393, 32, 7040, 785, 392, 330, 7919, 46819, 1578, 950, 330, 2700, 370, 330, 5006, 950, 330, 1815, 18143, 291, 801, 291, 330, 2393, 32, 9198, 950, 301, 324, 330, 4232, 950, 5053, 24576, 950, 313, 463, 1286, 81, 681, 505, 725, 81, 1172, 370, 330, 1286, 81, 681, 505, 1160, 370, 330, 10762, 2004, 683, 392, 330, 5665, 81, 36202, 950, 11608, 463, 1286, 81, 681, 370, 330, 10762, 2004, 1425, 5715, 330, 1473, 81, 426, 950, 330, 7040, 8885, 324, 330, 10762, 2004, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 35, 34, 34, 45306, 324, 330, 1286, 81, 681, 950, 2726, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 370, 5518, 5053, 452, 950, 313, 494, 710, 1286, 2516, 32, 14264, 785, 3612, 471, 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, 16357, 370, 5518, 5053, 1449, 81, 1322, 950, 330, 39, 34, 18143, 291, 801, 291, 330, 2393, 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, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 14, 13, 15, 15, 15, 15, 9, 8, 8, 11, 11, 11, 11, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 13, 11, 11, 13, 13, 12, 13, 13, 11, 8, 8, 11, 11, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 13, 13, 11, 11, 13, 13, 12, 13, 11, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 7, 10, 10, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 2, 2, 4, 4, 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, 11, 11, 9, 9, 13, 13, 11, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 10, 13, 13, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 10, 12, 12, 7, 7, 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, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 9, 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, 11, 11, 9, 9, 13, 13, 13, 13, 11, 13, 13, 13, 7, 7, 5, 5, 8, 8 ]
[ 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, 2, 1, 1, 2, 4, 4, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 3, 3, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 2, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 1, 3, 3, 1, 1, 1, 2, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 3, 3, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 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, 1, 2, 2, 2, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 2, 3, 1, 2, 5, 1, 2, 5, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 2, 3, 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, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1 ]
[ 465, 2322, 203, 1070, 16539, 1188, 447, 1676, 30, 21925, 1304, 203, 1070, 26394, 32, 5936, 5454, 32, 5291, 1183, 1188, 7155, 1183, 203, 1070, 26394, 32, 4170, 1188, 2290, 81, 7003, 203, 823, 6779, 7510, 1183, 26, 5291, 1183, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3488, 47, 2521, 30, 636, 47, 2521, 711, 291, 7155, 1183, 3667, 1664, 3207, 784, 30, 3488, 47, 5983, 30, 636, 47, 426, 27, 291, 630, 32, 2501, 280, 1665, 284, 665, 617, 371, 81, 1294, 81, 605, 26, 784, 30, 16154, 47, 2700, 30, 2016, 47, 2521, 711, 291, 2016, 280, 2016, 556, 630, 32, 2501, 291, 630, 32, 2811, 440, 32759, 2016, 8930, 34, 8129, 2296, 1643, 463, 5608, 2524, 26, 2501, 2610, 291, 1596, 44, 324, 298, 280, 447, 1676, 26, 2501, 30, 12532, 47, 18165, 30, 16154, 47, 18165, 27, 291, 2940, 3268, 619, 1048, 44, 324, 630, 32, 731, 463, 32759, 2016, 301, 34, 111, 47082, 328, 1048, 44, 301, 35, 16805, 1643, 26, 2501, 30, 1048, 490, 324, 442, 1665, 291, 706, 280, 1149, 346, 291, 1230, 280, 298, 32, 8228, 415, 16154, 813, 298, 32, 9362, 291, 436, 1628, 328, 1230, 44, 324, 1596, 44, 400, 706, 32, 1689, 26, 928, 32, 5460, 463, 3310, 31, 42, 2847, 324, 2940, 12678, 44, 400, 4036, 291, 442, 706, 284, 665, 1505, 26, 784, 711, 291, 415, 330, 2501, 25, 328, 630, 32, 5983, 44, 324, 630, 32, 2501, 280, 630, 32, 5983, 710, 2501, 785, 291, 415, 646, 308, 784, 32, 2501, 461, 6937, 26, 784, 32, 2501, 30, 596, 8531, 324, 630, 32, 731, 463, 2019, 438, 646, 3417, 556, 2016, 827, 438, 646, 333, 466, 22639, 324, 442, 3177, 291, 2016, 30, 6410, 280, 630, 32, 2501, 32, 2998, 8532, 34, 614, 630, 32, 2501, 32, 2998, 8532, 35, 10056, 291, 6410, 81, 668, 280, 2107, 24, 370, 330, 18194, 13044, 370, 48401, 4145, 785, 291, 6658, 81, 6363, 280, 739, 463, 2473, 2524, 26, 6363, 490, 549, 739, 26, 6363, 81, 668, 27, 291, 415, 6658, 81, 6363, 44, 324, 630, 32, 731, 440, 8418, 2016, 2793, 26, 101, 711, 301, 6363, 16054, 1643, 26, 6363, 47, 3371, 81, 6363, 490, 324, 442, 3177, 291, 415, 13637, 646, 328, 2016, 44, 324, 2016, 280, 2290, 81, 7003, 26, 2501, 27, 324, 415, 646, 2016, 44, 400, 630, 32, 731, 463, 4445, 6945, 102, 26797, 10698, 2501, 3845, 5298, 2473, 1643, 26, 2501, 47, 784, 32, 2501, 490, 400, 442, 3177, 291, 813, 44, 324, 415, 646, 2322, 32, 3560, 26, 2501, 30, 2322, 32, 74, 81, 2950, 711, 400, 630, 32, 731, 463, 9588, 7003, 3845, 438, 646, 15012, 2473, 1643, 26, 7003, 47, 2501, 490, 400, 442, 3177, 291, 630, 32, 2501, 280, 428, 2501, 79, 474, 6410, 415, 6410, 813, 428, 2501, 79, 291, 1596, 44, 324, 706, 280, 630, 1114, 371, 81, 605, 346, 291, 2940, 3268, 619, 1048, 44, 324, 630, 32, 731, 14728, 371, 81, 605, 346, 3803, 32, 5718, 44, 301, 2501, 4009, 3081, 44, 301, 731, 16805, 1643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 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, 3, 3, 8, 7, 8, 8, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 6, 6, 7, 7, 8, 9, 4, 4, 7, 8, 7, 11, 11, 11, 11, 11, 11, 10, 9, 13, 12, 11, 12, 11, 4, 4, 5, 5, 5, 8, 8, 10, 10, 11, 10, 10, 11, 12, 10, 10, 11, 12, 10, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 13, 12, 12, 12, 7, 7, 8, 4, 4, 6, 6, 8, 4, 4, 6, 6, 8, 9, 7, 7, 7, 7, 8, 9, 4, 4, 5, 5, 5, 5, 5, 5, 7, 7, 7, 11, 12, 11, 14, 13, 14, 13, 15, 15, 15, 15, 7, 7, 8, 8, 8, 8, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 8, 6, 6, 7, 8, 5, 5, 5, 9, 10, 8, 8, 10, 11, 9, 11, 11, 4, 4, 5, 6, 10, 9, 10, 8, 8, 10, 12, 11, 12, 10, 10, 10, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 7, 4, 4, 7, 7, 6, 6, 11, 12, 10, 11, 10, 9, 8, 7, 11, 12, 10, 11, 10, 10, 9, 4, 4, 7, 7, 6, 6, 9, 9, 7, 9, 7, 9, 7, 7, 9, 4, 4, 7, 7, 6, 6, 9, 13, 12, 11, 12, 11, 7, 7, 9, 10, 10, 10, 9, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 13, 12, 13, 13, 13, 11, 6, 6, 7, 4, 4, 5, 6, 6, 6, 5, 5, 5, 8, 8, 10, 10, 10, 11, 10, 6, 6, 7, 8, 7, 7, 7, 11, 12, 11, 15, 16, 15, 15, 15, 15, 15, 15, 15, 14, 13, 15, 14, 16, 15, 16, 13, 8, 8, 9, 5, 5, 6, 6, 6, 8, 9, 11, 12, 11, 12, 11, 11, 12, 13, 13, 13, 11, 8, 8, 12, 13, 12, 16, 16, 16, 16, 16, 16, 16, 15, 14, 16, 15, 16, 14, 9, 9, 10, 4, 4, 7, 8, 6, 6, 10, 9, 8, 8, 7, 7, 7, 7, 9, 8, 4, 4, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 5, 5, 6, 7, 7, 6, 6, 6, 10, 11, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 4, 4, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 2, 2, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 2, 4, 4, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 3, 3, 3, 3, 4, 4, 6, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 4, 4, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 5, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 3, 3, 1, 4, 4, 6, 1, 1, 1, 6, 6, 6, 0, 0, 0, 0, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 3, 3, 1, 6, 6, 4, 4, 4, 0, 1, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 4, 8, 8, 8, 0, 0, 0, 2, 2, 2, 1, 8, 8, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 11030, 81, 1515, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 203, 3731, 32, 983, 32, 1689, 26, 500, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 11030, 81, 1515, 30, 31001, 370, 31001, 370, 31001, 21180, 203, 589, 1974, 81, 7485, 81, 10771, 101, 2262, 284, 645, 8527, 32, 1262, 32, 9331, 1188, 1476, 81, 2501, 284, 7323, 81, 15598, 280, 2322, 32, 33115, 346, 284, 2322, 32, 31015, 26, 11030, 81, 1515, 27, 284, 1476, 81, 2501, 463, 2682, 6286, 683, 284, 1476, 81, 2501, 463, 6993, 6286, 683, 284, 2085, 761, 280, 2322, 32, 983, 32, 2524, 26, 11030, 81, 1515, 30, 330, 6921, 370, 330, 2173, 370, 330, 7257, 81, 40182, 370, 330, 11025, 32, 843, 683, 284, 623, 2156, 26, 843, 761, 27, 619, 296, 44, 291, 1795, 280, 296, 32, 850, 346, 284, 1795, 280, 316, 32, 1113, 26, 100, 28249, 20, 66, 1194, 31, 12608, 31, 1547, 33581, 17415, 101, 370, 2550, 1795, 30, 5736, 47, 268, 32, 24924, 1466, 3123, 27, 284, 623, 2156, 26, 843, 761, 30, 330, 105, 683, 619, 296, 44, 291, 296, 32, 1821, 26, 1286, 27, 284, 2322, 32, 31015, 26, 5586, 81, 15598, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1974, 81, 7485, 81, 10771, 101, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 5, 4, 5, 3, 4, 3, 7, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 7, 9, 7, 9, 7, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 5, 4, 5, 3, 3, 5, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 6, 6, 6, 5, 2, 2, 5, 5, 5, 7, 7, 7, 2, 2, 5, 5, 5, 7, 7, 7, 2, 2, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 2, 2, 3, 8, 9, 9, 8, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 7, 9, 8, 9, 9, 9, 6, 2, 2, 3, 8, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 7, 8, 7, 8, 7, 2, 2, 5, 6, 5, 6, 6, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 5, 5, 1, 1, 1, 1, 1, 2, 5, 5, 0, 1, 2, 1, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 1, 0, 0, 6, 6, 6, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 7, 0, 2, 2, 2, 2, 1, 4, 4, 8, 1, 1, 1, 1, 1, 1, 2, 0, 0, 8, 8, 8, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 6, 6, 0, 0, 1, 1, 1, 1, 6, 6, 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 ]
[ 9592, 203, 6873, 544, 16549, 225, 43, 30, 225, 36, 34, 35, 35, 203, 50, 2116, 44, 408, 278, 203, 9592, 203, 1070, 3996, 4785, 32, 2859, 32, 4266, 1188, 3619, 36, 2585, 203, 1070, 3996, 4785, 32, 2859, 32, 286, 10199, 32, 4882, 1188, 3772, 203, 465, 15798, 203, 823, 7155, 26, 1761, 711, 284, 665, 894, 81, 5157, 26, 784, 711, 291, 330, 83, 280, 323, 25, 291, 630, 32, 9849, 463, 83, 280, 323, 683, 284, 665, 894, 81, 5157, 36, 26, 784, 711, 291, 330, 83, 280, 323, 280, 281, 25, 291, 630, 32, 9849, 463, 83, 280, 323, 683, 284, 665, 894, 81, 5157, 37, 26, 784, 711, 291, 330, 83, 280, 323, 30, 86, 280, 281, 25, 291, 630, 32, 9849, 463, 83, 280, 323, 683, 284, 665, 894, 81, 5157, 38, 26, 784, 711, 291, 330, 83, 32, 107, 280, 323, 30, 86, 280, 281, 25, 291, 630, 32, 9849, 463, 83, 280, 323, 683, 284, 665, 894, 81, 45865, 26, 784, 711, 291, 330, 83, 32, 84, 280, 323, 25, 291, 630, 32, 9849, 463, 83, 32, 84, 280, 323, 683, 284, 665, 894, 81, 32110, 26, 784, 711, 291, 330, 83, 280, 323, 32, 84, 25, 291, 630, 32, 9849, 463, 83, 280, 323, 32, 84, 683, 284, 665, 894, 81, 669, 26, 784, 711, 291, 330, 83, 29, 84, 25, 291, 630, 32, 9849, 463, 83, 29, 84, 683, 284, 665, 894, 81, 1113, 26, 784, 711, 291, 330, 83, 31, 84, 25, 291, 630, 32, 9849, 463, 83, 31, 84, 683, 284, 665, 894, 81, 8829, 26, 784, 711, 291, 330, 83, 28, 84, 25, 291, 630, 32, 9849, 463, 83, 28, 84, 683, 284, 665, 894, 81, 507, 26, 784, 711, 291, 330, 83, 33, 84, 25, 291, 630, 32, 9849, 463, 83, 33, 84, 683, 284, 665, 894, 81, 9121, 507, 26, 784, 711, 291, 330, 83, 306, 84, 25, 291, 630, 32, 9849, 463, 83, 306, 84, 683, 284, 665, 894, 81, 7527, 26, 784, 711, 291, 330, 83, 326, 84, 25, 291, 630, 32, 9849, 463, 83, 326, 84, 683, 284, 665, 894, 81, 3685, 26, 784, 711, 291, 330, 83, 379, 84, 25, 291, 630, 32, 9849, 463, 83, 379, 84, 683, 284, 665, 894, 81, 91, 669, 26, 784, 711, 291, 330, 83, 9372, 84, 25, 291, 630, 32, 9849, 463, 83, 9372, 84, 683, 284, 665, 894, 81, 297, 356, 26, 784, 711, 291, 330, 83, 40417, 84, 25, 291, 630, 32, 9849, 463, 83, 40417, 84, 683, 284, 665, 894, 81, 7003, 81, 363, 26, 784, 711, 291, 330, 83, 549, 323, 25, 291, 630, 32, 9849, 463, 83, 549, 323, 683, 284, 665, 894, 81, 7003, 81, 94, 5494, 26, 784, 711, 291, 330, 83, 1264, 323, 25, 291, 630, 32, 9849, 463, 83, 1264, 323, 683, 284, 665, 894, 81, 7003, 81, 100, 5494, 26, 784, 711, 291, 330, 83, 3776, 323, 25, 291, 630, 32, 9849, 463, 83, 3776, 323, 683, 284, 665, 894, 81, 7003, 81, 1803, 26, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 4, 1, 6, 2, 2, 0, 3, 3, 0, 4, 4, 2, 1, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 10, 1, 1, 1, 2, 1, 2, 10, 10, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 11, 1, 1, 2, 1, 2, 11, 11, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 12, 1, 1, 2, 1, 2, 12, 12, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 13, 1, 1, 1, 2, 1, 2, 13, 13, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 14, 1, 1, 1, 2, 1, 2, 14, 14, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 15, 1, 1, 1, 1, 2, 1, 2, 15, 15, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 16, 1, 1, 1, 1, 1, 2, 1, 2, 16, 16, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 17, 1, 1, 1, 1, 1, 2, 1, 2, 17, 17, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 18, 1, 1, 1, 1, 2, 1 ]
[ 1070, 638, 1188, 12388, 203, 465, 316, 203, 823, 47585, 590, 690, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 284, 665, 5657, 26, 784, 711, 291, 630, 1114, 95, 1078, 280, 12388, 32, 87, 22346, 299, 284, 665, 622, 81, 15245, 81, 426, 26, 784, 711, 291, 442, 1665, 284, 665, 6985, 26, 784, 30, 312, 7346, 711, 291, 3097, 284, 665, 622, 81, 1293, 26, 784, 711, 291, 442, 630, 1114, 95, 1078, 284, 665, 622, 81, 30900, 26, 784, 711, 291, 442, 225, 34, 32, 34, 284, 665, 2761, 81, 4363, 81, 2400, 81, 2585, 26, 784, 30, 312, 7346, 711, 291, 312, 7346, 280, 316, 32, 1113, 26, 84, 25, 40817, 106, 34, 34, 15641, 106, 41, 56, 1130, 44292, 323, 25, 5769, 312, 7346, 27, 291, 442, 312, 7346, 284, 665, 2761, 81, 12655, 81, 20426, 81, 30194, 26, 784, 30, 312, 7346, 711, 291, 312, 7346, 280, 316, 32, 1113, 26, 84, 25, 2009, 51, 31, 21948, 31, 108, 1130, 44292, 323, 25, 5769, 312, 7346, 27, 291, 442, 312, 7346, 284, 665, 2761, 81, 1793, 81, 20426, 81, 30194, 26, 784, 30, 312, 7346, 711, 291, 442, 312, 7346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 7, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 8, 10, 10, 10, 11, 11, 11, 10, 11, 11, 11, 10, 10, 8, 10, 10, 8, 9, 8, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 8, 9, 8, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 3, 3, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 3, 3, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 3, 3, 3, 2, 1, 2, 2, 3, 2, 3, 3, 3, 3, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 2, 3, 3, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 3, 3, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 6, 6, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 5, 1, 4, 4, 1, 1, 3, 3, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 7, 7, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 5, 1, 4, 4, 1, 1, 3, 3, 8, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 8, 8, 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 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 1070, 28520, 32, 5558, 32, 4383, 32, 1536, 1188, 14720, 2459, 619, 14720, 2459, 81, 1536, 203, 823, 14720, 2459, 26, 3296, 2459, 81, 1536, 711, 10065, 5881, 284, 20682, 436, 322, 1244, 3309, 2297, 32, 284, 9438, 1230, 1137, 33, 541, 11127, 432, 322, 6109, 432, 322, 1056, 1510, 561, 23421, 623, 284, 33166, 32, 284, 5881, 284, 16084, 8803, 81, 4530, 280, 225, 36, 32, 34, 284, 16084, 8803, 81, 2319, 280, 330, 9362, 25, 284, 16084, 8803, 81, 2474, 280, 330, 2811, 25, 284, 665, 617, 5937, 81, 4295, 26, 784, 30, 1056, 711, 291, 5881, 2891, 322, 1344, 372, 1688, 436, 312, 1056, 48256, 291, 1056, 26033, 19441, 81, 10529, 81, 12149, 785, 280, 2933, 291, 4131, 280, 2149, 291, 436, 1202, 328, 2107, 9362, 370, 330, 9362, 81, 4446, 370, 330, 8228, 370, 330, 8228, 81, 4446, 370, 330, 2076, 12132, 324, 415, 1202, 328, 1056, 44, 400, 4131, 77, 678, 79, 280, 1056, 32, 3235, 26, 678, 27, 291, 1688, 280, 14720, 2459, 81, 1536, 1114, 5937, 81, 4295, 26, 784, 30, 1056, 27, 291, 436, 1202, 328, 2107, 9362, 370, 330, 8228, 370, 330, 2076, 12132, 324, 415, 1202, 328, 4131, 461, 4131, 77, 678, 2786, 400, 1688, 1454, 3228, 96, 78, 96, 23, 101, 3491, 96, 78, 96, 23, 101, 78, 96, 25, 904, 308, 678, 32, 7607, 1026, 4131, 77, 678, 1130, 291, 436, 1202, 30, 786, 328, 4131, 32, 3028, 2262, 324, 1056, 77, 678, 79, 280, 786, 291, 442, 1688, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 9, 9, 9, 9, 9, 9, 6, 6, 4, 4, 6, 6, 4, 4, 5, 5, 5, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 5, 5, 7, 8, 8, 7, 7, 7, 11, 12, 11, 10, 10, 12, 13, 12, 13, 12, 4, 4, 6, 6, 9, 9, 9, 8, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 5, 5, 5, 8, 8, 6, 8, 8, 6, 8, 8, 5, 5, 7, 9, 9, 8, 8, 9, 10, 9, 7, 7, 10, 10, 14, 14, 14, 13, 13, 13, 14, 14, 14, 13, 13, 14, 14, 13, 11, 11, 15, 14, 15, 14, 12, 13, 14, 13, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 9, 10, 9, 8, 8, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 2, 2, 2, 0, 3, 3, 1, 2, 1, 1, 1, 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, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 4, 4, 3, 3, 3, 1, 2, 3, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 1, 2, 3, 1, 2, 3, 3, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 5, 5, 1, 2, 3, 1, 2, 3, 1, 2, 5, 5, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 4, 4, 2, 2, 2, 0, 0, 2, 1, 2, 3, 2, 3, 4, 4, 6, 1, 1, 6, 6, 0, 2, 1, 6, 6, 0, 2, 0, 0, 0, 4, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 7138, 203, 465, 27374, 203, 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 2322, 315, 81, 751, 1188, 1245, 619, 5741, 203, 1070, 2322, 315, 81, 2304, 1188, 9336, 2304, 203, 465, 2322, 315, 81, 2304, 32, 465, 2304, 619, 1360, 203, 465, 18792, 203, 1070, 996, 23239, 1188, 13489, 203, 1070, 281, 7552, 445, 32, 2282, 1188, 2043, 203, 1070, 281, 7552, 445, 32, 2282, 1188, 3756, 203, 1070, 281, 7552, 445, 32, 2282, 1188, 1133, 2304, 203, 1070, 281, 7552, 445, 32, 2282, 1188, 341, 25673, 203, 1070, 281, 7552, 445, 32, 91, 35, 42, 96, 1188, 4950, 617, 815, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 8358, 81, 6363, 280, 428, 284, 8444, 32, 720, 5482, 463, 11327, 81, 8358, 81, 3893, 81, 3477, 370, 400, 1244, 11414, 4538, 28998, 32, 2282, 32, 3893, 370, 656, 330, 26354, 370, 656, 330, 11452, 370, 656, 2505, 400, 3049, 1057, 12242, 432, 14735, 688, 884, 15010, 372, 526, 316, 4524, 25, 3486, 330, 12683, 20867, 3756, 706, 645, 600, 16215, 1476, 41365, 203, 79, 203, 14594, 280, 8444, 32, 14594, 203, 14594, 32, 3317, 81, 6363, 26, 8358, 81, 6363, 27, 203, 823, 17292, 3265, 7262, 26, 46674, 32, 3265, 1397, 7262, 711, 284, 477, 16099, 284, 665, 617, 452, 81, 19697, 2176, 681, 30, 617, 853, 711, 291, 442, 3447, 81, 681, 563, 617, 681, 30, 7286, 853, 563, 617, 853, 111, 284, 665, 617, 18046, 2265, 26, 784, 30, 2830, 711, 291, 415, 6937, 26, 2067, 30, 7138, 32, 6665, 711, 324, 442, 630, 1114, 452, 81, 19697, 440, 6665, 392, 8479, 2830, 32, 9328, 1643, 1157, 291, 442, 2599, 26, 9505, 3265, 7262, 30, 630, 42690, 18046, 2265, 26, 2067, 27, 203, 823, 17292, 3265, 21095, 26, 46674, 32, 3265, 1104, 21095, 711, 284, 477, 16099, 284, 665, 617, 452, 81, 6665, 26, 2067, 711, 291, 442, 1133, 2304, 32, 12944, 81, 1003, 26, 1003, 2304, 32, 2208, 81, 41498, 512, 26, 2067, 490, 284, 665, 617, 18046, 2265, 26, 784, 30, 2830, 711, 291, 1596, 44, 324, 617, 681, 30, 617, 853, 280, 2830, 1365, 81, 681, 3439, 2830, 1365, 81, 853, 1446, 324, 442, 18623, 26, 784, 30, 7286, 452, 15659, 474, 617, 681, 27, 2176, 853, 27, 291, 2940, 308, 953, 924, 30, 29316, 711, 324, 442, 2830, 203, 823, 6926, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3636, 81, 14806, 47, 2700, 711, 291, 630, 1114, 17360, 280, 2149, 291, 630, 32, 13225, 81, 14806, 280, 3636, 81, 14806, 284, 665, 3909, 26, 784, 30, 2869, 30, 13996, 47, 2521, 30, 26247, 47, 2521, 30, 2488, 18155, 47, 2521, 711, 291, 46980, 280, 2761, 26, 5962, 816, 44, 646, 816, 32, 15990, 14715, 2113, 4921, 26, 3142, 490, 291, 415, 13996, 44, 324, 46980, 280, 428, 88, 436, 296, 328, 46980, 415, 296, 328, 13996, 79, 291, 415, 26247, 44, 324, 46980, 280, 428, 88, 436, 296, 328, 46980, 415, 296, 646, 328, 26247, 79, 291, 415, 2488, 18155, 44, 324, 46980, 280, 2761, 26, 612 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 4, 4, 4, 3, 4, 4, 2, 2, 0, 1, 1, 0, 1, 1, 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, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 1, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 2, 2, 3, 3, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 7, 7, 9, 9, 7, 7, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 0, 3, 2, 2, 3, 4, 0, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 6, 5, 4, 4, 6, 10, 10, 10, 8, 9, 7, 7, 10, 10, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 8, 9, 7, 5, 5, 7, 9, 10, 10, 10, 9, 11, 11, 9, 9, 11, 12, 12, 11, 4, 4, 5, 9, 10, 10, 10, 9, 9, 9, 8, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 6, 9, 8, 9, 9, 9, 8, 11, 11, 10, 11, 11, 11, 11, 10, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 10, 9, 9, 10, 8, 8, 10, 12, 12, 12, 9, 10, 12, 12, 12, 6, 6, 7, 10, 11, 10, 10, 13, 13, 11, 11, 12, 10, 9, 10, 9, 5, 5, 6, 8, 8, 7, 7, 7, 6, 6, 8, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 5, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 10, 12, 13, 12, 14, 8, 10, 11, 10, 4, 4, 5, 5, 5, 5, 8, 8, 10, 9, 10, 10, 10, 9, 10, 11, 11, 9, 4, 4, 5, 5, 5, 5, 8, 8, 10, 9, 10, 10, 10, 9, 10, 11, 11, 11, 9, 4, 4, 5, 6, 5, 5, 5, 8, 8, 10, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 5, 5, 0, 0, 0, 0, 2, 2, 1, 1, 0, 6, 6, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 0, 1, 2, 8, 8, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 10, 10, 0, 0, 1, 2, 10, 10, 0, 0, 11, 11, 0, 0, 1, 2, 11, 11, 0, 0, 12, 12, 0, 0, 1, 2, 2, 2, 2, 12, 12, 12, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 17, 17, 1, 1, 2, 0, 1, 2, 2, 2, 2, 17, 17, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 3, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 18, 18, 1, 1, 2, 0, 1, 2, 2, 2, 2, 18, 18, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 19, 19, 2, 1, 2, 19, 19, 0, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 9, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 3, 0, 2, 1, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 3, 1, 1, 2, 4, 4, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 3, 1, 1, 1, 2, 4, 4, 3, 1, 3, 3, 3, 0, 0, 1, 1 ]
[ 465, 16672, 203, 465, 2322, 203, 465, 316, 203, 465, 16539, 203, 465, 5237, 203, 465, 5624, 203, 465, 1133, 203, 465, 3383, 2825, 203, 465, 281, 16690, 81, 23593, 203, 465, 4356, 26343, 203, 465, 19493, 203, 465, 2361, 203, 465, 6234, 203, 19653, 81, 28988, 280, 301, 284, 330, 9904, 950, 301, 291, 330, 4048, 81, 4867, 950, 330, 4048, 26790, 31, 272, 43829, 31, 4867, 370, 291, 330, 1366, 81, 4867, 950, 330, 1366, 26790, 31, 272, 43829, 31, 4867, 370, 291, 330, 4048, 81, 48029, 950, 330, 2122, 25359, 36, 4719, 370, 291, 330, 1366, 81, 48029, 950, 330, 2122, 25359, 36, 1477, 370, 291, 330, 4048, 81, 1786, 950, 330, 4048, 26790, 31, 272, 43829, 31, 1786, 370, 291, 330, 1366, 81, 1786, 950, 330, 1366, 26790, 31, 272, 43829, 31, 1786, 370, 291, 330, 4048, 81, 941, 33367, 81, 1786, 950, 330, 4048, 1168, 33367, 31, 1786, 370, 291, 330, 1366, 81, 941, 33367, 81, 1786, 950, 330, 1366, 1168, 33367, 31, 1786, 370, 291, 330, 371, 81, 385, 107, 950, 3177, 30, 284, 801, 284, 330, 23693, 950, 301, 291, 330, 4048, 81, 4867, 950, 330, 2946, 7925, 4719, 26790, 31, 272, 43829, 31, 4867, 370, 291, 330, 1366, 81, 4867, 950, 330, 2946, 7925, 1477, 26790, 31, 272, 43829, 31, 4867, 370, 291, 330, 4048, 81, 48029, 950, 330, 2946, 7925, 4719, 2156, 3034, 31, 48029, 370, 291, 330, 1366, 81, 48029, 950, 330, 2946, 7925, 1477, 2156, 3034, 31, 48029, 370, 291, 330, 4048, 81, 1786, 950, 330, 2946, 7925, 4719, 26790, 31, 272, 43829, 31, 1786, 370, 291, 330, 1366, 81, 1786, 950, 330, 2946, 7925, 1477, 26790, 31, 272, 43829, 31, 1786, 370, 291, 330, 4048, 81, 941, 33367, 81, 1786, 950, 330, 2946, 7925, 4719, 1168, 33367, 31, 1786, 370, 291, 330, 1366, 81, 941, 33367, 81, 1786, 950, 330, 2946, 7925, 1477, 1168, 33367, 31, 1786, 370, 291, 330, 371, 81, 385, 107, 950, 2933, 30, 284, 801, 284, 330, 32876, 950, 301, 291, 330, 4048, 81, 4867, 950, 330, 2946, 7925, 4719, 26790, 31, 272, 43829, 31, 4867, 370, 291, 330, 1366, 81, 4867, 950, 330, 2946, 7925, 1477, 26790, 31, 272, 43829, 31, 4867, 370, 291, 330, 4048, 81, 48029, 950, 330, 2946, 7925, 4719, 1913, 86, 370, 291, 330, 1366, 81, 48029, 950, 330, 2946, 7925, 1477, 1913, 86, 370, 291, 330, 4048, 81, 1786, 950, 330, 2946, 7925, 4719, 26790, 31, 272, 43829, 31, 1786, 370, 291, 330, 1366, 81, 1786, 950, 330, 2946, 7925, 1477, 26790, 31, 272, 43829, 31, 1786, 370, 291, 330, 4048, 81, 941, 33367, 81, 1786, 950, 330, 2946, 7925, 4719, 1168, 33367, 31, 1786, 370, 291, 330, 1366, 81, 941, 33367, 81, 1786, 950, 330, 2946, 7925, 1477, 1168, 33367, 31, 1786, 370, 291, 330, 371, 81, 385, 107, 950, 2933, 30, 284, 320, 203, 111, 203, 823, 489, 28639, 27997, 776, 43829, 30608, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 13060, 81, 496, 30, 13060, 81, 28862, 30, 13060, 81, 2035, 711, 291, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 5, 5, 5, 3, 3, 6, 6, 4, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 5, 5, 5, 3, 3, 6, 6, 4, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 0, 0, 0, 0, 9, 9, 0, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 17, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 17, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 17, 2, 2, 2, 2, 2, 0, 14, 14, 1, 1, 1, 1, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 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, 25695, 1299, 203, 4021, 81, 2310, 44, 6779, 3676, 312, 7461, 31, 1746, 461, 25613, 25695, 1299, 2016, 203, 1648, 81, 11043, 44, 225, 36, 32, 38, 203, 2310, 44, 275, 429, 6779, 3676, 312, 7461, 31, 1746, 461, 25613, 25695, 1299, 2016, 30, 646, 6783, 3919, 322, 2297, 41885, 32, 275, 429, 1348, 438, 21099, 372, 526, 1654, 436, 29300, 14949, 544, 9241, 688, 1755, 1159, 25695, 1299, 5887, 810, 1244, 32, 203, 2184, 44, 334, 2016, 44, 284, 3048, 44, 397, 429, 1682, 432, 6350, 372, 526, 10768, 328, 322, 25695, 1299, 3523, 32, 284, 2129, 44, 2933, 284, 20664, 44, 2107, 7621, 785, 334, 3408, 44, 284, 3048, 44, 291, 429, 886, 3408, 33, 1977, 544, 1510, 372, 5742, 322, 2016, 284, 2129, 44, 3177, 284, 1244, 44, 6562, 81, 3225, 334, 1256, 44, 284, 3048, 44, 291, 429, 886, 1256, 436, 6207, 284, 2129, 44, 3177, 284, 1244, 44, 6562, 81, 496, 334, 3882, 44, 284, 3048, 44, 291, 429, 886, 3882, 436, 6207, 334, 2601, 44, 284, 3048, 44, 291, 429, 13601, 2601, 372, 793, 284, 1244, 44, 225, 36, 37, 334, 5868, 44, 284, 3048, 44, 291, 429, 5868, 436, 6562, 7373, 284, 1244, 44, 225, 35, 36, 34, 334, 29010, 1421, 44, 284, 3048, 44, 397, 429, 1682, 432, 29010, 1421, 2799, 2670, 11926, 2354, 2016, 284, 2129, 44, 3177, 284, 1244, 44, 38676, 785, 334, 6207, 81, 13232, 44, 284, 3048, 44, 397, 429, 10653, 556, 952, 13012, 372, 1424, 284, 2129, 44, 3177, 284, 1244, 44, 330, 3615, 44, 330, 334, 3882, 81, 13232, 44, 284, 3048, 44, 397, 429, 10653, 556, 952, 13012, 372, 1424, 284, 2129, 44, 3177, 284, 1244, 44, 330, 4049, 44, 330, 334, 15263, 44, 284, 3048, 44, 291, 429, 15086, 101, 372, 15263, 3733, 2504, 2016, 29160, 284, 2129, 44, 3177, 284, 1244, 44, 225, 35, 334, 3240, 81, 22331, 44, 284, 3048, 44, 397, 429, 42710, 312, 25521, 5341, 12683, 10149, 3387, 372, 1477, 322, 291, 10719, 3523, 32, 284, 2129, 44, 3177, 284, 1244, 44, 3177, 284, 827, 44, 1560, 284, 1503, 81, 11043, 44, 313, 36, 32, 41, 20, 203, 8886, 44, 284, 429, 886, 390, 26, 9236, 27, 11659, 1957, 646, 1389, 623, 458, 2899, 203, 2116, 44, 284, 429, 35603, 7349, 12641, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 636, 44, 3240, 3488, 6350, 372, 44804, 334, 25695, 1299, 44, 284, 1256, 44, 281, 16690, 284, 3882, 44, 281, 16690, 284, 6207, 81, 13232, 44, 313, 8650, 44, 313, 284, 29010, 1421, 44, 397, 429, 7185, 14826, 12032, 284, 2016, 44, 397, 429, 10719, 3104, 225, 34, 397, 429, 8488, 10719, 397, 429, 15871, 24920, 34, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 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, 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 ]
[ 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 465, 298, 2358, 203, 465, 5237, 203, 465, 2322, 203, 465, 22977, 203, 1070, 29969, 1188, 5380, 203, 27104, 81, 13130, 280, 225, 36, 203, 589, 894, 81, 27104, 81, 890, 81, 678, 81, 13232, 2262, 284, 3649, 37194, 81, 13130, 284, 3691, 280, 5380, 463, 2868, 683, 284, 415, 3691, 32, 4658, 2262, 291, 22977, 32, 100, 41718, 26, 2868, 27, 284, 3691, 32, 10174, 346, 284, 2838, 280, 298, 2358, 32, 15697, 103, 463, 978, 89, 4679, 8914, 30032, 769, 27104, 31, 2833, 1279, 16805, 1643, 26, 2868, 490, 284, 21962, 81, 27104, 280, 2933, 284, 1596, 44, 291, 2838, 32, 2358, 463, 10195, 7798, 20787, 5868, 47, 35, 27, 291, 2838, 32, 2714, 928, 463, 35, 683, 291, 2838, 32, 2358, 463, 8197, 1202, 891, 745, 844, 2637, 20787, 5868, 47, 35, 27, 291, 2838, 32, 2714, 928, 463, 36, 34, 38, 42, 683, 291, 21962, 81, 27104, 280, 3177, 291, 37194, 81, 13130, 280, 225, 35, 291, 2838, 32, 2358, 463, 678, 23192, 328, 310, 11274, 370, 5868, 47, 35, 27, 291, 2838, 32, 2714, 928, 463, 34, 683, 284, 2940, 298, 2358, 32, 11452, 32, 14247, 44, 291, 3097, 284, 415, 21962, 81, 27104, 44, 291, 2838, 32, 2358, 463, 6877, 636, 28601, 291, 2838, 32, 2714, 928, 463, 10855, 11443, 3110, 683, 291, 2838, 32, 2358, 463, 4477, 2965, 28601, 291, 2838, 32, 2714, 928, 463, 858, 50, 2763, 32, 508, 683, 291, 2838, 32, 2358, 9442, 26, 65, 23948, 93, 395, 5272, 25182, 67, 23948, 5326, 78, 43841, 284, 2838, 32, 2679, 346, 284, 1201, 2933, 284, 1459, 346, 203, 589, 894, 81, 27104, 81, 1347, 81, 4867, 2262, 284, 37194, 2833, 280, 5380, 4064, 761, 25566, 2544, 7404, 27104, 25, 284, 13077, 81, 761, 280, 5380, 463, 12892, 32, 20756, 32, 24330, 7070, 2473, 1643, 26, 27104, 81, 13130, 490, 284, 415, 37194, 81, 13130, 333, 225, 36, 44, 291, 3636, 26405, 463, 53, 692, 6305, 2887, 17410, 37194, 11834, 284, 415, 13077, 81, 761, 32, 4658, 2262, 291, 13077, 81, 761, 32, 23754, 346, 284, 2838, 280, 298, 2358, 32, 15697, 103, 463, 978, 89, 4679, 8914, 30032, 769, 27104, 31, 2833, 19704, 769, 12892, 31, 761, 1279, 16805, 1643, 26, 27104, 2833, 30, 13077, 81, 761, 490, 284, 2838, 32, 2358, 463, 57, 7649, 10625, 2268, 844, 2124, 372, 18884, 623, 78, 20787, 5868, 47, 39, 27, 284, 2838, 32, 2714, 928, 463, 10855, 3270, 333, 858, 50, 2763, 32, 508, 22639, 284, 2838, 32, 2358, 463, 2570, 28601, 284, 2838, 32, 2714, 928, 463, 1006, 6887, 683, 284, 2838, 32, 2358, 463, 1240, 2484, 683, 284, 2838, 32, 2714, 928, 463, 25870, 683, 284, 2838, 32, 2358, 463, 2895, 683, 284, 2838, 32, 2714, 928, 463, 35, 36, 37, 38, 39, 40, 683, 284, 2838, 32, 2358, 463, 73, 16553, 1359, 683, 284, 2838, 280, 298, 2358, 32, 15697, 103, 463, 978, 89, 4679, 8914, 13077, 769, 12892, 31, 761, 19704, 769, 27104, 31, 2833, 1279, 16805, 1643, 26, 12892, 81, 761, 30, 37194, 2833, 490, 284, 2838, 32, 2358, 463 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 2, 2, 4, 4, 6, 8, 8, 2, 2, 3, 5, 6, 5, 3, 3, 7, 8, 8, 7, 8, 7, 2, 2, 5, 6, 5, 2, 2, 4, 4, 7, 6, 7, 7, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 8, 2, 2, 5, 5, 4, 4, 2, 2, 3, 3, 3, 7, 8, 7, 9, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 7, 9, 9, 3, 3, 4, 7, 6, 7, 5, 6, 4, 4, 4, 2, 2, 3, 4, 4, 3, 3, 3, 7, 8, 7, 9, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 5, 2, 2, 3, 2, 2, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 8, 9, 9, 7, 5, 7, 7, 2, 2, 5, 5, 4, 4, 6, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 9, 9, 8, 2, 2, 3, 5, 5, 4, 4, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 6, 6, 5, 6, 5, 3, 3, 8, 8, 7, 8, 7, 2, 2, 4, 4, 7, 6, 7, 7, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 9, 8, 8, 9, 9, 8, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 5, 2, 2, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 2, 2, 5, 6, 6, 5, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 2, 2, 5, 6, 6, 5, 7, 7, 2, 2, 5, 6, 5, 7, 7, 2, 2, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 2, 2, 4, 4, 7, 6, 7, 7, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 9, 9, 8, 8, 9, 8, 2, 2, 5, 6, 5 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 1, 1, 4, 4, 0, 0, 1, 1, 2, 4, 4, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 6, 6, 6, 0, 2, 1, 1, 1, 1, 1, 3, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 6, 6, 3, 0, 0, 2, 1, 2, 3, 3, 3, 4, 4, 7, 1, 1, 7, 7, 7, 0, 2, 1, 1, 1, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 9, 4, 4, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1 ]
[ 1070, 638, 1188, 12388, 203, 1070, 638, 307, 1729, 95, 1188, 308, 18917, 5618, 1243, 30, 19687, 36, 34, 36, 36, 53, 3020, 63, 1243, 30, 19687, 36, 34, 36, 36, 60, 4238, 63, 1243, 30, 528, 19687, 36, 34, 36, 36, 17823, 5618, 1243, 27, 203, 1070, 638, 15245, 510, 690, 1188, 47585, 590, 690, 203, 1070, 638, 3205, 1293, 8676, 1188, 41917, 29741, 203, 1070, 638, 8524, 1188, 9804, 81, 655, 203, 823, 516, 545, 2659, 885, 590, 690, 26, 2659, 885, 590, 690, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 47585, 590, 690, 3667, 1664, 3207, 784, 27, 291, 630, 1114, 95, 27427, 5618, 280, 428, 324, 41917, 29741, 26, 18917, 5618, 1243, 471, 324, 41917, 29741, 26, 14859, 36, 34, 36, 36, 53, 3020, 63, 1243, 471, 324, 41917, 29741, 26, 14859, 36, 34, 36, 36, 60, 4238, 63, 1243, 471, 324, 41917, 29741, 26, 14859, 36, 34, 36, 36, 17823, 5618, 1243, 27, 291, 1481, 291, 630, 32, 4534, 346, 284, 665, 5657, 26, 784, 711, 291, 47585, 590, 690, 32, 4534, 26, 784, 27, 291, 436, 10613, 5618, 328, 630, 1114, 95, 27427, 5618, 44, 324, 415, 646, 10613, 5618, 44, 400, 4036, 324, 10613, 5618, 32, 2480, 280, 2933, 324, 10613, 5618, 32, 4534, 346, 291, 630, 1114, 95, 4077, 5618, 280, 2069, 26, 784, 1114, 95, 27427, 5618, 27, 291, 630, 1114, 95, 33028, 26082, 280, 1665, 284, 665, 622, 81, 15245, 81, 426, 26, 784, 711, 291, 442, 630, 1114, 95, 33028, 26082, 284, 665, 622, 81, 30900, 26, 784, 711, 291, 415, 630, 1114, 95, 33028, 26082, 44, 324, 442, 225, 34, 32, 43, 43, 291, 813, 44, 324, 442, 225, 34, 32, 34, 34, 284, 665, 6985, 26, 784, 30, 312, 7346, 711, 291, 436, 281, 328, 312, 7346, 44, 324, 436, 10613, 5618, 328, 630, 1114, 95, 27427, 5618, 44, 400, 415, 646, 10613, 5618, 44, 528, 4036, 400, 415, 646, 10613, 5618, 32, 2480, 44, 528, 4036, 400, 10613, 1078, 280, 10613, 5618, 32, 1978, 81, 1293, 26, 4071, 81, 655, 26, 85, 490, 400, 415, 10613, 1078, 610, 12388, 32, 87, 924, 44, 528, 10613, 5618, 32, 2480, 280, 3177, 528, 630, 1114, 95, 4077, 5618, 5912, 225, 35, 528, 415, 630, 1114, 95, 4077, 5618, 2511, 225, 34, 44, 715, 630, 1114, 95, 1078, 280, 12388, 32, 87, 1337, 1432, 715, 442, 630, 32, 371, 81, 1293, 346, 400, 4348, 10613, 1078, 610, 12388, 32, 87, 47824, 1432, 44, 528, 630, 1114, 95, 1078, 280, 12388, 32, 87, 3595, 1011, 528, 630, 1114, 95, 33028, 26082, 280, 10613, 5618, 32, 371, 81, 3205, 81, 1293, 81, 8676, 346, 261, 528, 442, 630, 32, 371, 81, 1293, 346, 291, 442, 630, 32, 371, 81, 1293, 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, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 9, 9, 10, 10, 10, 9, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 7, 7, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 7, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 8, 7, 8, 7, 8, 7, 4, 4, 5, 6, 5, 5, 6, 7, 7, 7, 5, 5, 5, 7, 8, 9, 7, 7, 7, 6, 6, 10, 9, 10, 8, 8, 6, 6, 10, 9, 10, 9, 4, 4, 7, 8, 8, 8, 6, 6, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 7, 8, 8, 8, 8, 5, 5, 6, 6, 6, 8, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 5, 5, 5, 6, 5, 5, 5, 7, 8, 7, 7, 8, 9, 9, 9, 7, 7, 7, 9, 10, 11, 9, 9, 9, 8, 8, 9, 10, 12, 11, 12, 9, 9, 9, 8, 8, 11, 10, 10, 13, 12, 13, 13, 13, 12, 14, 14, 14, 14, 15, 14, 8, 8, 9, 11, 10, 10, 11, 12, 12, 9, 9, 9, 14, 13, 14, 12, 12, 10, 10, 13, 14, 14, 14, 12, 12, 13, 10, 10, 11, 13, 14, 14, 14, 12, 12, 13, 11, 11, 11, 15, 16, 16, 14, 14, 15, 16, 16, 16, 12, 12, 13, 15, 16, 16, 16, 15, 9, 9, 10, 12, 11, 11, 12, 13, 13, 13, 10, 10, 10, 14, 15, 15, 13, 13, 14, 15, 15, 15, 11, 11, 14, 15, 15, 15, 13, 13, 16, 15, 16, 16, 16, 16, 16, 16, 16, 15, 11, 11, 11, 12, 14, 15, 15, 15, 14, 4, 4, 5, 7, 8, 8, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 5, 5, 0, 0, 2, 0, 0, 5, 5, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 4, 4, 4, 2, 1, 2, 2, 3, 2, 4, 4, 0, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 5, 5, 1, 1, 0, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 5, 5, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 0, 0, 2, 0, 0, 3, 3, 0, 2, 2, 2, 0, 0, 2, 3, 3, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 3, 3, 1, 0, 2, 2, 2, 1, 3, 3, 4, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 0, 2, 2, 2, 1, 4, 4, 1, 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 ]
[ 9592, 203, 16218, 667, 2297, 436, 551, 2842, 307, 31, 58, 19791, 310, 31, 1548, 14457, 18909, 810, 488, 3131, 8080, 2937, 450, 101, 461, 37708, 12754, 265, 32, 203, 5297, 7433, 6638, 810, 488, 3131, 8080, 2937, 450, 101, 30, 1149, 8749, 12987, 21895, 810, 37708, 12754, 265, 32, 203, 11506, 9256, 372, 488, 3131, 42201, 2903, 436, 18108, 12047, 7433, 4736, 32, 203, 51, 695, 1529, 436, 793, 1531, 312, 23539, 354, 37, 39898, 32, 203, 9592, 203, 1070, 3995, 1188, 319, 203, 1070, 4026, 1188, 319, 203, 1070, 7744, 1188, 319, 203, 823, 28404, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 1673, 81, 426, 30, 570, 711, 291, 630, 32, 2452, 81, 426, 280, 1673, 81, 426, 291, 630, 32, 2050, 280, 1605, 291, 630, 32, 96, 280, 225, 34, 291, 630, 32, 1055, 280, 225, 34, 291, 630, 32, 57, 280, 570, 284, 665, 1476, 26, 784, 711, 291, 436, 595, 328, 630, 32, 2452, 81, 426, 44, 324, 1596, 44, 400, 18623, 26, 784, 30, 595, 45895, 324, 2940, 44, 400, 3097, 291, 442, 630, 32, 2050, 284, 665, 16483, 81, 15829, 26, 784, 711, 291, 630, 32, 96, 1454, 629, 26, 1131, 463, 1918, 432, 35875, 44, 41964, 291, 816, 81, 3585, 280, 225, 35, 34, 291, 533, 81, 3585, 280, 225, 35, 34, 291, 1288, 81, 3585, 280, 225, 35, 34, 291, 436, 595, 328, 2155, 26, 784, 32, 96, 711, 324, 540, 280, 3995, 81, 28009, 26, 106, 81, 3585, 30, 107, 81, 3585, 30, 108, 81, 3585, 27, 324, 630, 32, 2050, 32, 1689, 1371, 400, 330, 966, 31, 35, 950, 100, 30, 400, 330, 966, 950, 100, 30, 400, 330, 15034, 950, 35, 33, 784, 32, 96, 30, 400, 330, 1203, 950, 3855, 81, 28009, 26, 106, 81, 3585, 28, 34, 32, 35, 30, 107, 81, 3585, 28, 34, 32, 35, 30, 108, 81, 3585, 28, 34, 32, 35, 471, 400, 330, 4718, 950, 2402, 26, 34, 30, 34, 30, 34, 471, 400, 330, 1516, 950, 784, 32, 1055, 400, 1790, 324, 630, 32, 1055, 1454, 225, 35, 284, 665, 16911, 81, 1455, 26, 1055, 30, 966, 86, 30, 1203, 86, 30, 15785, 15034, 711, 291, 310, 280, 629, 26, 1131, 463, 1918, 432, 35875, 44, 41964, 291, 3400, 86, 291, 415, 1650, 610, 225, 34, 44, 324, 442, 1371, 528, 330, 966, 31, 35, 950, 2402, 26, 34, 30, 34, 30, 34, 471, 528, 330, 966, 950, 2402, 26, 34, 30, 34, 30, 34, 471, 528, 330, 15034, 950, 15785, 15034, 30, 528, 330, 1203, 950, 2402, 26, 34, 30, 34, 30, 34, 471, 528, 330, 4718, 950, 2402, 26, 34, 30, 34, 30, 34, 471, 528, 330, 1516, 950, 34, 400, 1790, 291, 813, 44, 324, 1288, 2243, 280, 4026, 26, 34, 30, 34, 30, 35, 27, 324, 1779, 28009, 280, 4026, 26, 34, 30, 34, 30, 34, 27, 324, 1779, 10753, 280, 16483, 26, 34, 30, 36, 28, 1295, 27, 324, 5865, 280, 14108, 7756, 26, 966, 86, 30, 966, 86, 33, 35, 34, 27, 324, 1779, 28009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 7, 7, 7, 12, 13, 12, 12, 12, 7, 7, 8, 8, 8, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 10, 10, 12, 12, 12, 12, 12, 4, 4, 7, 7, 6, 6, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 4, 4, 5, 5, 5, 7, 9, 8, 9, 7, 5, 5, 8, 8, 10, 10, 10, 11, 11, 11, 10, 11, 11, 11, 10, 11, 11, 11, 10, 6, 6, 10, 11, 9, 10, 9, 10, 10, 13, 13, 13, 13, 12, 10, 10, 10, 13, 13, 12, 10, 10, 10, 13, 13, 13, 12, 14, 13, 14, 10, 10, 10, 13, 13, 13, 13, 13, 13, 15, 15, 15, 14, 15, 15, 15, 13, 15, 15, 15, 14, 15, 15, 15, 13, 15, 15, 15, 14, 15, 15, 15, 13, 10, 10, 13, 13, 13, 13, 14, 13, 14, 13, 14, 13, 10, 10, 13, 13, 13, 12, 13, 10, 10, 6, 6, 9, 10, 8, 8, 9, 2, 2, 3, 4, 4, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 5, 4, 3, 3, 6, 6, 8, 10, 10, 12, 12, 12, 12, 12, 4, 4, 6, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 9, 9, 12, 12, 12, 12, 12, 12, 13, 12, 13, 12, 13, 12, 9, 9, 12, 12, 12, 12, 13, 12, 13, 12, 13, 12, 9, 9, 12, 12, 11, 11, 9, 9, 9, 12, 12, 12, 12, 13, 12, 13, 12, 13, 12, 9, 9, 12, 12, 12, 12, 13, 12, 13, 12, 13, 12, 9, 9, 12, 12, 11, 9, 9, 5, 5, 6, 6, 6, 10, 9, 9, 11, 12, 11, 12, 11, 12, 11, 7, 7, 10, 9, 9, 11, 12, 11, 12, 11, 12, 11, 7, 7, 10, 9, 9, 11, 12, 11, 13, 12, 13, 11, 7, 7, 9, 9, 11, 11, 12, 12, 11, 13, 13, 12, 13, 13, 11, 7, 7, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 4, 4, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 4, 4, 4, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 5, 5, 5, 1, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 3, 2, 2, 2, 1, 0, 0, 0, 5, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 3, 1, 5, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 5, 5, 0, 2, 0, 0, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 2, 5, 5, 2, 7, 7, 2, 3, 3, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 4, 4, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 3, 1, 5, 1, 1, 1, 1, 2, 0, 1, 1, 1, 3, 1, 5, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 3, 1, 5, 1, 1, 1, 1, 2, 0, 1, 1, 1, 3, 1, 5, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 1, 1, 1, 3, 1, 5, 1, 2, 2, 0, 0, 0, 1, 1, 1, 3, 1, 5, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 3, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 2, 2, 1, 2, 2, 0 ]
[ 465, 2322, 203, 1070, 46032, 1188, 1188, 81, 1647, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 19444, 462, 631, 30096, 203, 1070, 8527, 32, 2304, 1114, 500, 1188, 973, 550, 203, 1070, 8527, 32, 2304, 32, 1647, 81, 6696, 1188, 2297, 81, 2040, 81, 1113, 1647, 203, 4959, 4900, 81, 9856, 81, 2474, 280, 330, 3378, 25, 203, 823, 1995, 1063, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1123, 81, 426, 30, 1123, 81, 1647, 711, 291, 630, 32, 426, 280, 1123, 81, 426, 291, 630, 32, 1647, 280, 1123, 81, 1647, 291, 630, 32, 7491, 280, 1665, 291, 415, 646, 19326, 26, 784, 30, 330, 1172, 7831, 324, 630, 32, 1172, 280, 1123, 81, 426, 32, 100, 11458, 5791, 16050, 36, 79, 291, 415, 646, 19326, 26, 784, 30, 330, 10529, 81, 426, 7831, 324, 630, 32, 10529, 81, 426, 280, 630, 32, 1172, 32, 1311, 346, 291, 415, 646, 19326, 26, 784, 30, 330, 983, 7831, 324, 630, 32, 983, 280, 630, 1114, 983, 81, 1070, 81, 1647, 26, 725, 81, 1647, 27, 291, 630, 32, 3378, 81, 1647, 280, 1665, 291, 630, 32, 3378, 280, 1665, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 4145, 23, 101, 44, 904, 101, 6457, 904, 308, 784, 3667, 823, 29215, 426, 7642, 630, 32, 1172, 27, 284, 665, 617, 983, 81, 1070, 81, 1647, 26, 784, 30, 2297, 711, 291, 7842, 280, 1149, 26, 32110, 26, 1647, 30, 11477, 983, 505, 370, 1605, 490, 291, 415, 2069, 26, 8478, 27, 863, 225, 35, 44, 324, 4870, 280, 18623, 26, 1647, 30, 11477, 761, 505, 370, 1665, 27, 324, 415, 4870, 438, 646, 1665, 44, 400, 7842, 280, 428, 500, 32, 983, 32, 7781, 26, 3607, 2177, 324, 813, 44, 400, 7842, 280, 1149, 26, 470, 26, 8478, 490, 291, 415, 2069, 26, 8478, 27, 848, 225, 35, 44, 324, 3636, 19444, 462, 631, 30096, 26, 400, 313, 1318, 1123, 2297, 904, 100, 1401, 4609, 23072, 14347, 10027, 100, 293, 313, 400, 313, 9619, 2298, 8488, 458, 1123, 623, 600, 1995, 1063, 22948, 313, 400, 313, 1793, 312, 330, 983, 25, 443, 3879, 3107, 904, 308, 1647, 30, 7842, 490, 291, 4348, 646, 7842, 44, 324, 3636, 19444, 462, 631, 30096, 26, 400, 313, 1318, 1123, 2297, 904, 100, 1401, 1289, 23072, 3894, 30, 313, 400, 313, 9619, 2298, 8488, 458, 1123, 623, 600, 1995, 1063, 22948, 313, 400, 313, 1793, 312, 330, 983, 25, 443, 3879, 3107, 904, 308, 1647, 33702, 291, 442, 973, 550, 26, 8478, 77, 34, 1130, 284, 477, 17614, 284, 665, 1487, 26, 6933, 30, 3414, 711, 291, 1596, 44, 324, 2297, 280, 1188, 81, 1647, 26, 3038, 27, 291, 2940, 29986, 44, 324, 2297, 280, 1665, 324, 2047, 81, 983, 30, 4950, 9011, 81, 426, 280, 3414, 32, 100, 11458, 36909, 324, 415, 646, 2047, 81, 983, 44, 400, 3636, 291, 813, 44, 324, 1596, 44, 400, 3414, 280, 2297, 32, 1536, 81, 725, 81, 1163, 324, 2940, 29316, 44, 400, 442, 9011, 26, 3038, 30, 2297, 27, 324, 813, 44, 400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 5, 6, 8, 9, 8, 8, 10, 10, 5, 5, 9, 10, 8, 8, 12, 12, 11, 12, 12, 11, 13, 10, 9, 4, 4, 5, 6, 8, 9, 8, 8, 10, 10, 10, 10, 5, 5, 9, 10, 10, 10, 8, 8, 11, 12, 10, 11, 10, 4, 4, 5, 6, 8, 9, 8, 8, 10, 10, 5, 5, 9, 10, 8, 8, 10, 11, 11, 11, 11, 11, 10, 11, 11, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 6, 6, 10, 9, 10, 10, 9, 9, 7, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 10, 10, 11, 10, 10, 12, 12, 12, 10, 10, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 8, 8, 10, 11, 10, 10, 12, 12, 12, 10, 10, 6, 6, 7, 8, 8, 8, 7, 7, 7, 10, 10, 15, 14, 15, 13, 14, 13, 14, 13, 7, 7, 8, 8, 8, 11, 11, 13, 15, 15, 16, 15, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 9, 9, 9, 9, 9, 13, 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, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 12, 11, 11, 11, 5, 5, 6, 7, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 13, 12, 4, 4, 5, 7, 7, 9, 8, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 6, 6, 6, 9, 9, 11, 11, 11, 12, 11, 6, 6, 7, 7, 7, 7, 10, 10, 8, 8, 12, 12, 11, 11, 11, 12, 12, 10, 10, 12, 13, 13, 12, 8, 8, 9, 10, 11, 11, 9, 9, 9, 6, 6, 7, 7, 7, 9, 9, 9, 12, 12, 13, 14, 14, 14, 14, 14, 9, 9, 10, 10, 10, 10, 12, 14, 15, 14, 14, 14, 9, 9, 10, 10 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 1, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 1, 0, 1, 2, 1, 4, 4, 1, 3, 3, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 2, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 0, 0, 4, 4 ]
[ 9592, 4997, 3626, 2297, 372, 3498, 322, 2503, 3223, 461, 4809, 32, 203, 2272, 2297, 24895, 3498, 2288, 322, 23978, 2503, 32, 4354, 3626, 1401, 312, 3982, 2503, 203, 8811, 688, 438, 3154, 14549, 328, 312, 3223, 556, 9792, 3536, 4809, 32, 15952, 844, 203, 1297, 322, 2503, 844, 17562, 561, 619, 312, 10605, 22820, 32, 14013, 884, 646, 203, 25933, 631, 8702, 544, 4458, 30, 844, 2298, 9173, 1591, 432, 322, 3134, 296, 374, 11747, 4442, 203, 452, 1974, 322, 4648, 2503, 32, 203, 1318, 23978, 2503, 883, 6723, 526, 8765, 328, 1591, 432, 10204, 19405, 32, 4517, 203, 1536, 322, 2503, 438, 312, 6550, 2932, 41367, 44567, 32, 2448, 883, 1326, 203, 10097, 7896, 2124, 13255, 28847, 461, 26224, 2193, 32, 8204, 884, 203, 42609, 810, 5736, 5403, 372, 23978, 32, 2751, 32, 470, 81, 2816, 922, 203, 4997, 3626, 883, 1755, 1159, 312, 3982, 2503, 4523, 821, 1346, 1133, 32, 19682, 312, 537, 1591, 203, 1793, 23978, 32, 2751, 32, 470, 81, 2816, 346, 1098, 4230, 322, 4552, 2503, 32, 1670, 27447, 203, 2435, 438, 5349, 2288, 322, 6573, 2179, 556, 2503, 12066, 101, 30, 793, 322, 203, 8239, 23978, 32, 2751, 32, 2816, 81, 1253, 1026, 23978, 32, 2751, 32, 668, 81, 24366, 1026, 461, 203, 978, 3626, 32, 2751, 32, 1120, 346, 372, 2467, 2471, 2625, 322, 2503, 32, 203, 9297, 322, 2503, 22820, 438, 3272, 30, 322, 4442, 645, 458, 2297, 203, 7469, 322, 3982, 4905, 2503, 32, 886, 22820, 16649, 5535, 415, 322, 2297, 203, 297, 707, 16165, 32, 1670, 312, 537, 2503, 2926, 438, 739, 30, 322, 4905, 22820, 1098, 203, 11765, 20725, 3578, 372, 26391, 544, 322, 537, 2503, 32, 203, 10684, 322, 2503, 2926, 438, 739, 30, 10204, 5216, 884, 17180, 544, 322, 23978, 203, 1567, 5523, 32, 23978, 32, 5221, 780, 438, 4618, 1412, 322, 1256, 1401, 8843, 322, 3460, 203, 452, 17865, 32, 886, 3223, 1098, 7768, 23978, 32, 13024, 8055, 5216, 619, 322, 203, 2751, 485, 1907, 461, 598, 1464, 1509, 9280, 32, 1670, 322, 2503, 438, 739, 623, 322, 203, 978, 3626, 32, 613, 31367, 2147, 4655, 30, 23978, 32, 5676, 55, 9069, 3364, 5216, 1098, 526, 4618, 1412, 322, 203, 496, 10891, 101, 322, 3223, 13135, 32, 30670, 20179, 688, 5171, 3872, 203, 452, 322, 4809, 1098, 622, 23978, 32, 21050, 39036, 5216, 1412, 13752, 432, 322, 203, 3518, 2298, 526, 38899, 96, 32, 203, 9592, 203, 505, 1427, 1643, 505, 280, 330, 268, 25120, 878, 25, 203, 505, 1648, 505, 280, 8493, 606, 22, 25, 203, 465, 5237, 203, 1070, 12675, 1188, 319, 203, 465, 23978, 32, 1439, 203, 465, 23978, 32, 4652, 605, 203, 465, 23978, 32, 12537, 203, 465, 23978, 32, 9777, 203, 1070, 5427, 1188, 3223, 203, 81, 2751, 81, 12537, 280, 1665, 203, 81, 1566, 81, 14499, 81, 470, 280, 225, 34, 203, 81, 1566, 81, 1536, 426, 280, 330, 978, 3626, 81, 1566, 32, 25108, 25, 203, 81, 1664, 81, 5000, 47, 2700, 203, 589, 1156, 5177, 25425, 1664, 505, 2262, 284, 23978, 32, 1439, 32, 3317, 81, 16997, 2176, 2751 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 1, 1, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 6, 7, 5, 6, 6, 6, 5, 6 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 0, 6, 6, 1, 2, 2, 0, 7, 7, 1, 2, 0, 8, 8, 1, 2, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 14, 14, 1, 1, 1, 1, 2, 14, 14, 0, 2, 0, 2, 2, 2, 1, 1 ]
[ 1070, 10245, 1188, 23501, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 1199, 32, 3378, 32, 4151, 1188, 21461, 1176, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 1199, 32, 3378, 32, 2602, 1188, 21694, 1176, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 12079, 1188, 308, 284, 21694, 619, 21694, 10622, 30, 26911, 619, 26911, 10622, 30, 203, 27, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 5692, 924, 203, 1070, 8527, 32, 1199, 32, 3378, 1188, 8174, 1176, 30, 4401, 1176, 30, 28563, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 23483, 1188, 12059, 30, 3846, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 41530, 81, 15630, 280, 18792, 32, 5823, 81, 2516, 474, 308, 1808, 30, 23501, 27, 203, 823, 16281, 4206, 26, 4206, 711, 284, 667, 280, 1665, 284, 1688, 81, 1495, 81, 823, 280, 1665, 284, 19816, 81, 753, 81, 966, 280, 225, 34, 284, 665, 1156, 1664, 3207, 784, 30, 319, 23483, 30, 1115, 7615, 711, 291, 415, 330, 2024, 81, 1495, 25, 646, 328, 6717, 461, 630, 32, 2024, 81, 1495, 81, 823, 44, 324, 6717, 710, 2024, 81, 1495, 785, 280, 630, 32, 2024, 81, 1495, 81, 823, 346, 291, 2599, 26, 10632, 4206, 30, 630, 14585, 1664, 45909, 23483, 30, 1115, 7615, 27, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 442, 630, 3667, 823, 29215, 426, 505, 284, 477, 2433, 284, 665, 309, 1923, 26, 784, 711, 291, 9810, 280, 630, 32, 1855, 81, 23483, 77, 784, 32, 12316, 81, 753, 81, 966, 79, 291, 415, 19326, 26, 3385, 30, 330, 101, 1923, 7831, 324, 442, 9810, 32, 101, 1923, 291, 1596, 44, 324, 442, 9810, 32, 1495, 32, 101, 1923, 291, 2940, 308, 2212, 924, 30, 5692, 924, 711, 324, 442, 1665, 284, 665, 619, 81, 2602, 26, 784, 30, 8980, 30, 3387, 711, 291, 415, 630, 32, 1126, 438, 1665, 44, 324, 630, 32, 1126, 280, 3387, 32, 4156, 32, 20847, 81, 1126, 81, 426, 26, 784, 32, 426, 27, 291, 442, 2599, 26, 10632, 4206, 30, 630, 547, 302, 81, 2602, 26, 10199, 30, 3387, 27, 284, 665, 5889, 81, 7672, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 736, 280, 2599, 26, 10632, 4206, 30, 630, 547, 5284, 81, 7672, 2740, 1132, 30, 1115, 5321, 27, 291, 1695, 81, 101, 1923, 280, 736, 32, 101, 1923, 291, 415, 646, 1695, 81, 101, 1923, 44, 324, 3636, 12678, 440, 9518, 4442, 883, 1755, 26391, 544, 3226, 21017, 1795, 7144, 291, 436, 3400, 30, 9810, 328, 10703, 26, 575, 32, 1855, 81, 23483, 77, 35, 23751, 1477, 47, 35, 711, 324, 415, 6937, 26, 3385, 30, 7187, 418, 882, 27, 461, 9810, 32, 101, 1923, 863, 1695, 81, 101, 1923, 44, 400, 736, 32, 1855, 81, 23483, 77, 966, 79, 280, 11633, 26, 3385, 30, 1695, 81, 101, 1923, 547, 5284, 81, 7672, 2740, 1132, 30, 1115, 5321, 27, 291, 442, 736, 284, 665, 617, 2956, 81, 753, 26, 784, 30, 786, 30, 4356, 81, 426, 26409, 1505, 81, 2516, 47, 2521, 711, 291, 415, 646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 2, 2, 3, 1, 1, 2, 2, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 3, 3, 5, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 9, 9, 9, 9, 7, 7, 7, 6, 6, 7, 8, 8, 8, 8, 8, 5, 5, 5, 9, 11, 11, 11, 11, 8, 8, 10, 11, 11, 11, 11, 11, 10, 4, 4, 9, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 9, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 7, 7, 9, 10, 10, 10, 8, 10, 9, 10, 10, 10, 10, 10, 8, 5, 5, 6, 8, 9, 8, 8, 10, 10, 10, 6, 6, 8, 9, 10, 10, 5, 5, 6, 6, 6, 8, 10, 11, 9, 10, 10, 6, 6, 7, 9, 9, 8, 8, 9, 8, 7, 7, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 9, 10, 8, 8, 11, 12, 10, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 4, 4, 5, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 10, 11, 11, 10, 10, 10, 9, 9, 9, 8, 10, 8, 8, 10, 8, 4, 4, 7, 7, 7, 6, 6, 7, 8, 8, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 5, 5, 7, 10, 9, 10, 10, 10, 8, 10, 9, 7, 8, 9, 7, 5, 5, 7, 10, 11, 10, 10, 11, 11, 10, 8, 8, 10, 11, 11, 9, 9, 10, 10, 10, 7, 7, 7, 12, 13, 13, 13, 11, 12, 11, 10, 10, 14, 15, 14, 14, 15, 15, 15, 14, 13, 13, 13, 12, 14, 12, 12, 14, 12, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 4, 6, 6, 5, 6, 4, 3, 3, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 3, 3, 4, 4, 2, 3, 3, 6, 6, 2, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 5, 5, 0, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 4, 4, 3, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 1, 5, 5, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 4, 4, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 3, 1, 1, 1, 1, 3, 1, 3, 3, 0, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 7, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 3, 3, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 3, 2, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 8, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 0, 0, 7, 2, 2, 8, 8, 0 ]
[ 1070, 358, 1220, 1229, 32, 4615, 1188, 14215, 203, 1070, 358, 1220, 1229, 32, 9030, 2672, 1188, 16901, 444, 4615, 203, 1070, 19486, 32, 39417, 1188, 2032, 720, 203, 1070, 19486, 32, 14813, 32, 5972, 1031, 1188, 14360, 1031, 203, 1070, 19486, 32, 32717, 1188, 11761, 720, 203, 1070, 19486, 32, 1163, 1188, 1359, 30, 38480, 35547, 30, 3383, 1721, 1906, 30, 1359, 761, 30, 3383, 1031, 30, 3383, 10922, 2023, 30, 3383, 4542, 203, 1070, 19486, 32, 1063, 720, 1188, 3383, 720, 4615, 203, 1070, 19486, 32, 1711, 1208, 1188, 5245, 1208, 203, 1163, 32, 3977, 368, 1823, 280, 3383, 1721, 1906, 346, 203, 1163, 32, 3977, 368, 1823, 32, 8101, 280, 3383, 10922, 2023, 26, 1536, 47, 2700, 27, 203, 1163, 32, 3977, 368, 1823, 32, 2853, 23395, 1484, 8112, 280, 3383, 10922, 2023, 26, 1536, 47, 1815, 27, 203, 1163, 32, 3977, 368, 1823, 32, 2853, 2976, 1484, 8112, 280, 3383, 10922, 2023, 26, 1536, 47, 2700, 27, 203, 1163, 32, 3977, 368, 1823, 32, 1536, 2976, 280, 3383, 4542, 346, 203, 1163, 32, 3977, 368, 1823, 32, 539, 35315, 32289, 280, 3383, 10922, 2023, 26, 1536, 47, 2700, 27, 203, 1163, 32, 3977, 368, 1823, 32, 24943, 32289, 280, 3383, 1031, 26, 1536, 38913, 203, 1163, 32, 3977, 368, 1823, 32, 3323, 5195, 7047, 280, 3383, 10922, 2023, 26, 1536, 47, 2700, 27, 203, 1163, 32, 3977, 368, 1823, 32, 12149, 13485, 1120, 2900, 280, 3383, 10922, 2023, 26, 1536, 47, 1815, 27, 203, 1163, 32, 3977, 368, 1823, 32, 267, 48723, 280, 3383, 10922, 2023, 26, 1536, 47, 2700, 27, 203, 823, 10608, 9610, 26, 4615, 30, 16901, 444, 4615, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 3523, 30, 9985, 2976, 711, 357, 202, 4615, 3667, 1664, 3207, 784, 30, 3523, 27, 357, 202, 784, 32, 20718, 558, 280, 3037, 32717, 4542, 9610, 392, 313, 974, 9610, 20, 1481, 357, 202, 9030, 444, 4615, 3667, 1664, 3207, 784, 27, 357, 202, 784, 1365, 678, 81, 1092, 1446, 280, 14360, 1031, 41648, 7028, 2131, 357, 202, 784, 1365, 678, 81, 6555, 1446, 280, 14360, 1031, 41648, 4391, 2131, 357, 202, 784, 32, 761, 668, 280, 2032, 720, 26, 8945, 2976, 30, 9215, 5516, 38913, 357, 202, 784, 1365, 761, 668, 1446, 280, 630, 32, 761, 668, 357, 202, 784, 1365, 974, 668, 7105, 1446, 280, 5245, 1208, 14141, 6435, 7105, 392, 313, 1514, 7105, 3439, 355, 202, 109, 603, 202, 20, 6555, 563, 630, 32, 539, 30, 603, 202, 20, 1092, 563, 630, 32, 4775, 30, 603, 202, 20, 1253, 563, 630, 32, 1253, 30, 603, 202, 20, 8151, 563, 630, 32, 4775, 355, 202, 1748, 357, 202, 784, 32, 267, 2344, 13536, 32, 1689, 26, 784, 32, 3086, 14070, 27, 203, 202, 589, 6371, 14070, 26, 784, 711, 357, 202, 784, 32, 17376, 41648, 4542, 5427, 2131, 203, 202, 589, 3835, 26, 784, 711, 357, 202, 325, 630, 32, 761, 668, 32, 3374, 1450, 2460, 2262, 355, 202, 784, 32, 761, 668, 32, 3801, 304, 346, 203, 202, 589, 793, 26, 784, 711, 357, 202 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 0, 4, 3, 4, 4, 4, 2, 2, 4, 4, 4, 0, 5, 4, 5, 5, 5, 3, 4, 2, 2, 4, 4, 4, 6, 5, 6, 4, 0, 5, 4, 5, 5, 5, 3, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 6, 4, 0, 5, 4, 5, 5, 5, 3, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 6, 4, 0, 5, 4, 5, 5, 5, 3, 4, 4, 2, 2, 4, 4, 0, 5, 4, 5, 5, 5, 3, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 6, 4, 0, 5, 4, 5, 5, 5, 3, 4, 4, 2, 2, 4, 4, 6, 5, 0, 5, 4, 5, 5, 5, 3, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 6, 4, 0, 5, 4, 5, 5, 5, 3, 4, 4, 4, 4, 2, 2, 4, 4, 4, 6, 5, 6, 4, 0, 5, 4, 5, 5, 5, 3, 4, 4, 2, 2, 4, 4, 4, 6, 5, 6, 4, 0, 1, 1, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 8, 7, 8, 8, 6, 6, 9, 9, 9, 9, 7, 9, 9, 9, 7, 4, 4, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 9, 9, 9, 9, 6, 6, 8, 8, 12, 12, 4, 4, 8, 7, 9, 9, 9, 9, 6, 6, 8, 8, 12, 12, 4, 4, 8, 7, 8, 8, 6, 6, 8, 8, 9, 9, 8, 8, 10, 9, 4, 4, 8, 7, 9, 9, 9, 6, 6, 7, 8, 8, 4, 4, 8, 7, 9, 9, 9, 9, 6, 6, 8, 8, 11, 11, 11, 9, 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, 12, 12, 12, 10, 11, 12, 9, 9, 9, 12, 12, 12, 10, 11, 12, 9, 9, 9, 4, 4, 9, 8, 9, 9, 9, 7, 8, 7, 9, 8, 9, 9, 7, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 8, 7, 8, 7, 11, 11, 11, 2, 2, 3, 3, 4, 5, 4, 3, 3, 5, 5, 8, 9, 9, 7, 8, 8, 8, 7, 5, 5, 11, 10, 11, 11, 9, 10, 10, 9, 2, 2, 3, 3, 4, 5, 4, 3, 3 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 4, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 1, 2, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 1, 2, 2, 6, 6, 0, 0, 0, 7, 7, 1, 2, 2, 7, 7, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 18, 18, 1, 2, 1, 2, 2, 3, 3, 2, 18, 18, 0, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 3, 4, 4, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 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, 0, 1, 2, 5, 2, 2, 3, 3, 3, 0, 1, 2, 7, 2, 2, 3, 3, 3, 4, 4, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 4, 4, 3, 3, 2, 1, 2, 3, 3 ]
[ 465, 25136, 619, 1894, 203, 465, 4533, 8463, 619, 17393, 203, 465, 3995, 203, 881, 81, 51, 30, 2587, 81, 52, 280, 308, 35, 30, 225, 35, 471, 308, 36, 30, 225, 35, 27, 261, 203, 589, 9500, 41990, 37611, 6143, 2262, 284, 313, 6096, 631, 9173, 1591, 432, 322, 6885, 645, 322, 29164, 37611, 4706, 3107, 284, 298, 280, 1894, 32, 6096, 6143, 5747, 4901, 4046, 370, 330, 3679, 370, 330, 1386, 370, 330, 3211, 370, 330, 69, 7194, 370, 330, 2023, 3397, 3490, 284, 442, 1894, 32, 6143, 26, 98, 27, 203, 589, 5548, 54, 19652, 41990, 37611, 6143, 2262, 284, 7185, 20291, 225, 36, 32, 37, 12032, 284, 1858, 280, 301, 1162, 881, 81, 51, 30, 330, 10780, 1425, 711, 330, 4046, 370, 1802, 1833, 881, 81, 51, 30, 330, 18370, 1425, 711, 330, 69, 7194, 370, 1802, 1833, 881, 81, 52, 30, 330, 10780, 1425, 711, 330, 3679, 370, 1802, 1833, 881, 81, 52, 30, 330, 18370, 1425, 711, 330, 69, 7194, 370, 1802, 1833, 881, 81, 51, 30, 330, 10780, 1425, 308, 881, 81, 51, 30, 330, 10780, 41095, 330, 4046, 370, 1802, 1833, 881, 81, 51, 30, 330, 10780, 1425, 308, 881, 81, 51, 30, 330, 18370, 41095, 330, 69, 7194, 370, 1802, 1833, 881, 81, 51, 30, 330, 10780, 1425, 308, 881, 81, 51, 30, 330, 10780, 1425, 308, 881, 81, 51, 30, 330, 10780, 41095, 330, 4046, 370, 1802, 1833, 881, 81, 51, 30, 330, 10780, 1425, 308, 881, 81, 51, 30, 330, 10780, 1425, 308, 881, 81, 51, 30, 330, 18370, 41095, 330, 69, 7194, 370, 1802, 320, 284, 298, 280, 1894, 32, 1599, 54, 19652, 6143, 5747, 26, 1274, 27, 284, 442, 1894, 32, 6143, 346, 203, 589, 902, 5636, 41990, 37611, 6143, 2262, 284, 313, 51, 2488, 1909, 7669, 436, 322, 3134, 31, 1293, 29164, 37611, 4706, 32, 428, 20291, 225, 36, 32, 42, 12032, 284, 665, 3460, 26, 462, 1398, 711, 291, 3894, 30, 2287, 280, 1292, 1398, 291, 415, 2287, 610, 330, 18370, 950, 324, 442, 330, 69, 7194, 25, 291, 4348, 3894, 610, 2587, 81, 51, 44, 324, 442, 330, 4046, 25, 291, 4348, 3894, 610, 2587, 81, 52, 44, 324, 442, 330, 3679, 25, 284, 442, 1894, 32, 6143, 26, 5784, 27, 203, 589, 3678, 10332, 41990, 37611, 6143, 346, 967, 1300, 44, 284, 313, 1045, 7669, 688, 24256, 4562, 432, 2769, 14347, 884, 5063, 556, 25613, 3107, 284, 1542, 280, 301, 881, 81, 51, 44, 1665, 30, 2587, 81, 52, 44, 1665, 111, 284, 665, 3460, 26, 462, 1398, 711, 291, 313, 8518, 619, 902, 5636, 41990, 37611, 6143, 30, 2940, 415, 8989, 438, 5063, 30, 745, 3139, 3397, 3107, 291, 3894, 30, 2287, 280, 1292, 1398, 291, 1542, 77, 2645, 79, 280, 2287, 16189, 415, 1542, 77, 881, 81, 51, 79, 610, 1542, 77, 881, 81, 52, 79, 610, 330, 10780, 950, 324, 442, 330, 2023, 3397, 25, 291, 4348, 2287, 610, 330, 18370, 950, 324, 442, 330, 69, 7194, 25, 291, 4348, 3894, 610, 2587, 81, 51, 44, 324, 442, 330, 4046, 25, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 4, 2, 2, 0, 1, 1, 0, 4, 4, 4, 3, 3, 4, 4, 2, 2, 5, 4, 4, 5, 4, 3, 5, 4, 4, 5, 4, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 7, 7, 7, 6, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 2, 2, 3, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 7, 9, 9, 9, 8, 8, 10, 10, 7, 6, 8, 8, 5, 5, 9, 9, 9, 8, 8, 10, 10, 7, 6, 8, 8, 8, 5, 5, 9, 9, 9, 8, 8, 10, 10, 7, 6, 8, 8, 5, 5, 9, 9, 9, 8, 8, 10, 10, 7, 6, 8, 8, 8, 5, 5, 9, 9, 9, 8, 8, 10, 10, 7, 9, 9, 9, 8, 8, 10, 10, 6, 8, 8, 5, 5, 9, 9, 9, 8, 8, 10, 10, 7, 9, 9, 9, 8, 8, 10, 10, 6, 8, 8, 8, 5, 5, 9, 9, 9, 8, 8, 10, 10, 7, 9, 9, 9, 8, 8, 10, 10, 7, 9, 9, 9, 8, 8, 10, 10, 6, 8, 8, 5, 5, 9, 9, 9, 8, 8, 10, 10, 7, 9, 9, 9, 8, 8, 10, 10, 7, 9, 9, 9, 8, 8, 10, 10, 6, 8, 8, 8, 5, 5, 2, 2, 4, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 7, 4, 4, 5, 6, 6, 8, 8, 5, 5, 7, 9, 9, 9, 5, 5, 6, 7, 7, 8, 8, 6, 6, 6, 8, 10, 10, 5, 5, 6, 7, 7, 8, 8, 6, 6, 6, 8, 10, 10, 2, 2, 3, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 7, 7, 7, 6, 6, 5, 5, 7, 7, 6, 6, 5, 2, 2, 3, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 4, 4, 7, 8, 7, 6, 6, 4, 4, 5, 7, 8, 8, 8, 7, 6, 6, 7, 8, 8, 8, 7, 6, 6, 8, 8, 5, 5, 7, 9, 9, 9, 5, 5, 6, 7, 7, 9, 9, 6, 6, 8, 10, 10, 10, 5, 5, 6, 7, 7, 8, 8, 6, 6, 6, 8, 10, 10, 5 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 3, 0, 2, 1, 2, 2, 3, 2, 0, 0, 4, 4, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 2, 0, 2, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 3, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 5, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 7, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 3, 3, 1, 2, 9, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 3, 3, 1, 2, 11, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 3, 3, 1, 2, 0, 1, 1, 1, 5, 5, 1, 2, 13, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 3, 3, 1, 2, 0, 1, 1, 1, 5, 5, 1, 2, 15, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 0, 2, 1, 0, 6, 6, 1, 1, 1, 1, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 4, 1, 1, 2, 2, 4, 4, 4, 0, 1, 2, 1, 1, 5, 1, 1, 2, 2, 5, 5, 5, 0, 1, 2, 4, 4, 2, 0, 2, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 2, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 3, 3, 2, 6, 6, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 4, 4, 3, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 2, 3, 3, 4, 1, 1, 1, 2, 4, 4, 0, 1, 1, 2, 3, 3, 5, 1, 1, 2, 2, 5, 5, 5, 0, 1, 2, 3 ]
[ 465, 5741, 203, 465, 5237, 203, 465, 15798, 203, 465, 316, 203, 1070, 7138, 1188, 30784, 203, 1070, 15306, 1867, 32, 12023, 32, 37737, 32, 21137, 81, 37737, 1188, 677, 10982, 11810, 5637, 30, 677, 10982, 11810, 10851, 203, 1070, 15306, 1867, 32, 11452, 1188, 18966, 1867, 11810, 4276, 203, 823, 677, 10982, 11810, 5637, 4470, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 415, 5237, 32, 1648, 81, 1338, 77, 34, 79, 610, 225, 37, 44, 324, 3636, 15798, 32, 11393, 1006, 463, 35068, 11810, 7606, 6945, 102, 1389, 623, 4262, 37, 32, 3139, 1849, 372, 894, 7991, 2442, 683, 291, 645, 3312, 32, 1262, 1188, 18883, 48931, 2514, 1154, 291, 630, 32, 7133, 280, 18883, 48931, 2514, 1154, 291, 630, 32, 4073, 280, 5741, 32, 10579, 346, 291, 630, 32, 4073, 32, 34318, 26, 7490, 32, 2897, 27, 284, 665, 894, 81, 3163, 81, 864, 81, 2951, 81, 5660, 26, 784, 711, 291, 630, 32, 4073, 32, 2811, 3609, 25, 319, 225, 35, 34, 27, 291, 630, 32, 4073, 32, 2811, 463, 9514, 904, 101, 370, 630, 1114, 858, 21781, 27, 291, 630, 32, 4073, 32, 2811, 3609, 25, 319, 225, 35, 34, 27, 291, 2899, 280, 677, 10982, 11810, 5637, 26, 2795, 81, 314, 1057, 6469, 81, 864, 81, 2951, 81, 5660, 370, 1378, 16765, 20183, 2901, 339, 1885, 33, 2951, 81, 5660, 370, 1378, 526, 81, 2951, 47, 1815, 30, 1378, 5868, 47, 35, 30, 1378, 11322, 81, 7843, 47, 32888, 26, 6360, 47, 35, 471, 1378, 38879, 81, 7568, 47, 35, 30, 1378, 11962, 47, 784, 32, 7133, 27, 291, 2899, 32, 4526, 26, 2521, 27, 284, 665, 894, 81, 3163, 81, 864, 81, 2951, 81, 5660, 81, 5066, 26, 784, 711, 291, 630, 32, 4073, 32, 2811, 3609, 25, 319, 225, 35, 34, 27, 291, 630, 32, 4073, 32, 2811, 463, 9514, 904, 101, 370, 630, 1114, 858, 21781, 27, 291, 630, 32, 4073, 32, 2811, 3609, 25, 319, 225, 35, 34, 27, 291, 2899, 280, 677, 10982, 11810, 5637, 26, 2795, 81, 314, 1057, 6469, 81, 864, 81, 2951, 81, 5660, 81, 5066, 370, 1378, 16765, 20183, 2901, 339, 1885, 33, 1206, 81, 2951, 81, 5660, 370, 1378, 526, 81, 2951, 47, 1815, 30, 1378, 5868, 47, 35, 30, 1378, 11322, 81, 7843, 47, 32888, 26, 6360, 47, 35, 471, 1378, 38879, 81, 7568, 47, 35, 30, 1378, 11962, 47, 784, 32, 7133, 27, 291, 623, 630, 32, 23895, 26, 14480, 1867, 11810, 4276, 711, 324, 2899, 32, 4526, 26, 2521, 27, 284, 665, 894, 81, 3163, 81, 864, 81, 83, 81, 3780, 81, 2951, 81, 5660, 26, 784, 711, 291, 630, 32, 4073, 32, 2811, 3609, 25, 319, 225, 35, 34, 27, 291, 630, 32, 4073, 32, 2811, 463, 9514, 904, 101, 370, 630, 1114, 858, 21781, 27, 291, 630, 32, 4073, 32, 2811, 3609, 25, 319, 225, 35, 34, 27, 291, 2899, 280, 677, 10982, 11810, 5637, 26, 2795, 81, 314, 1057, 6469, 81, 864, 81, 3780, 81, 2951, 81, 5660, 370, 1378, 16765, 20183, 2901, 339, 1885, 33 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 7, 8, 7, 6, 6, 7, 5, 5, 5, 7, 9, 10, 10, 9, 11, 11, 11, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 7, 5, 5, 7, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 6, 6, 8, 9, 8, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 10, 8, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 7, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 10, 8, 8, 9, 9, 7, 4, 4, 6, 6, 8, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 10, 10, 9, 11, 11, 13, 12, 13, 11, 8, 8, 10, 10, 9, 10, 8, 8, 8, 9, 11, 10, 11, 8, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 10, 8, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 7, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 10, 8, 8, 9, 9, 7, 4, 4, 6, 6, 8, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 10, 8, 8, 8, 9, 10, 8, 8, 8, 10, 10, 9, 11, 11, 13, 12, 13, 11, 8, 8, 10, 10, 9, 10, 8, 8, 8, 9, 11, 10, 11, 8, 4, 4, 5, 9, 10, 9, 10, 10, 10, 10, 9, 5, 5, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 10, 8, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 9, 7, 8, 9, 9, 7, 4, 4, 8, 9, 7, 8, 7, 10, 8, 8, 9, 9, 7, 4, 4, 6, 6, 8, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 1, 6, 6, 6, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 1, 1, 0, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 0, 0, 9, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 11, 2, 1, 1, 1, 13, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 2, 1, 1, 1, 7, 2, 1, 1, 1, 0, 0, 9, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 11, 2, 1, 1, 1, 13, 0, 2, 2, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1 ]
[ 1070, 638, 1831, 1188, 319, 203, 1070, 638, 6554, 1188, 319, 203, 1070, 638, 84, 1871, 1188, 319, 203, 1070, 638, 18638, 5401, 1188, 319, 203, 1070, 638, 8587, 1188, 319, 203, 589, 3240, 26, 14496, 30, 372, 30, 786, 30, 18312, 47, 35, 34, 34, 34, 34, 711, 284, 442, 3240, 7740, 283, 106, 26, 14496, 30, 372, 474, 17917, 474, 596, 26, 853, 471, 18312, 27, 203, 589, 3240, 7740, 283, 106, 26, 14496, 30, 372, 2810, 30, 18312, 47, 35, 34, 34, 34, 34, 30, 1115, 5321, 711, 284, 14994, 30, 18312, 280, 2181, 20129, 35, 614, 629, 26, 1132, 6448, 35, 1130, 284, 963, 101, 280, 1605, 284, 963, 853, 280, 225, 34, 284, 436, 312, 328, 14994, 44, 291, 963, 101, 32, 1689, 26, 83, 27, 291, 963, 853, 1454, 629, 26, 83, 32, 2998, 17919, 16050, 35, 1130, 284, 1044, 280, 707, 40703, 26, 7242, 452, 3225, 26, 14496, 471, 1115, 5321, 27, 284, 1044, 36, 280, 2192, 26, 103, 30, 629, 26, 541, 853, 7283, 410, 26, 12920, 490, 284, 1638, 108, 280, 1044, 36, 474, 963, 101, 474, 428, 14496, 30, 18312, 79, 284, 6486, 280, 8664, 2714, 2740, 626, 108, 27, 284, 6486, 36, 280, 2596, 464, 26, 1483, 30, 29863, 27, 284, 442, 298, 352, 384, 106, 26, 1483, 36, 30, 1115, 5321, 27, 203, 589, 11656, 1483, 26, 14496, 30, 372, 30, 786, 30, 18312, 47, 35, 34, 34, 34, 34, 30, 1115, 5321, 711, 284, 372, 2810, 280, 372, 474, 17917, 474, 596, 26, 853, 27, 284, 442, 11656, 7740, 283, 106, 26, 14496, 30, 372, 2810, 30, 18312, 30, 1115, 5321, 27, 203, 589, 11656, 7740, 283, 106, 26, 14496, 30, 319, 1132, 30, 1115, 5321, 711, 284, 14994, 30, 18312, 280, 2181, 20129, 35, 614, 629, 26, 1132, 6448, 35, 1130, 284, 963, 101, 280, 1605, 284, 963, 853, 280, 225, 34, 284, 436, 312, 328, 14994, 44, 291, 963, 101, 32, 1689, 26, 83, 27, 291, 963, 853, 1454, 629, 26, 83, 32, 2998, 17919, 16050, 35, 1130, 284, 1044, 280, 707, 40703, 26, 14496, 30, 1115, 5321, 27, 284, 1044, 36, 280, 2192, 26, 103, 30, 629, 26, 541, 853, 7283, 410, 26, 12920, 490, 284, 1638, 108, 280, 1044, 36, 474, 963, 101, 474, 428, 14496, 30, 18312, 79, 284, 442, 8664, 2714, 2740, 626, 108, 27, 203, 589, 323, 639, 37, 36, 81, 90, 6521, 81, 1423, 2740, 1132, 711, 284, 415, 2069, 26, 1132, 27, 610, 225, 37, 44, 291, 5036, 30, 3616, 30, 1519, 280, 2181, 284, 813, 44, 291, 595, 30, 5036, 30, 1519, 280, 225, 34, 30, 5518, 1605, 291, 2218, 2069, 26, 1132, 77, 91, 1130, 848, 225, 38, 34, 44, 324, 5036, 32, 1689, 26, 1132, 77, 91, 1130, 324, 595, 1454, 225, 35, 291, 3616, 280, 629, 26, 1132, 77, 91, 1130, 291, 1519, 280, 1992, 26, 410, 30, 2181, 77, 91, 29, 35, 19572, 284, 2547, 101, 280, 8594, 26, 1110, 26, 5962, 816, 44, 323, 639, 37, 36, 81, 3801, 416, 26, 106, 30, 1519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 1, 1, 0, 1, 1, 4, 4, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 2, 1, 1, 3, 5, 5, 5, 5, 6, 5, 5, 7, 7, 6, 6, 8, 9, 8, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 4, 4, 4, 4, 4, 2, 2, 4, 2, 1, 1, 5, 5, 4, 4, 6, 9, 6, 5, 7, 9, 8, 10, 8, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 5, 2, 2, 3, 3, 3, 3, 3, 3, 8, 7, 8, 7, 8, 7, 4, 4, 7, 6, 6, 8, 12, 11, 12, 11, 13, 10, 9, 2, 2, 4, 4, 6, 6, 8, 8, 8, 8, 9, 8, 6, 8, 6, 2, 2, 5, 4, 4, 6, 7, 6, 6, 9, 10, 10, 9, 9, 9, 10, 9, 2, 2, 5, 4, 4, 7, 6, 6, 7, 5, 5, 7, 6, 6, 6, 2, 2, 4, 4, 6, 6, 8, 8, 6, 2, 2, 5, 4, 4, 6, 6, 7, 6, 6, 6, 2, 2, 3, 5, 5, 5, 5, 6, 6, 5, 5, 7, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 2, 2, 4, 2, 1, 1, 5, 4, 4, 6, 6, 5, 5, 7, 8, 7, 2, 2, 3, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 4, 2, 2, 4, 2, 1, 1, 5, 5, 4, 4, 6, 9, 6, 5, 7, 9, 8, 10, 8, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 5, 2, 2, 3, 3, 3, 3, 3, 3, 8, 7, 8, 7, 8, 7, 4, 4, 7, 6, 6, 8, 12, 11, 12, 11, 13, 10, 9, 2, 2, 4, 4, 6, 6, 7, 6, 6, 8, 6, 2, 2, 5, 4, 4, 6, 7, 6, 6, 9, 10, 10, 9, 9, 9, 10, 9, 2, 2, 5, 4, 4, 7, 6, 6, 7, 5, 5, 7, 6, 6, 6, 2, 2, 3, 5, 5, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 7, 7, 7, 7, 6, 6, 3, 3, 4, 4, 4, 8, 8, 8, 8, 7, 7, 9, 8, 8, 8, 5, 5, 6, 9, 11, 10, 11, 10, 7, 7, 8, 8, 6, 6, 6, 10, 11, 10, 12, 11, 12, 11, 7, 7, 9, 9, 10, 5, 5, 7, 7, 9, 11, 10, 11, 10, 5, 5, 7, 7, 9, 10, 9, 9, 10, 13, 12, 13, 11, 2, 2, 5, 4, 4, 6, 8, 8, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 3, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 2, 4, 4, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 9, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 2, 4, 4, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 4, 4, 7, 0, 1, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 3, 0, 0, 2, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 ]
[ 465, 1671, 203, 465, 13625, 203, 589, 617, 2682, 81, 1167, 81, 823, 26, 426, 30, 4467, 711, 284, 443, 10791, 26, 1473, 711, 291, 617, 4243, 280, 4467, 291, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 324, 14447, 26, 784, 547, 1877, 26, 5321, 27, 291, 665, 1156, 13707, 3207, 784, 711, 324, 3829, 280, 5769, 5608, 2524, 44805, 1279, 19, 100, 16805, 1643, 26, 426, 30, 18623, 26, 784, 30, 636, 490, 7686, 436, 636, 328, 630, 1114, 4243, 27, 324, 442, 17246, 31576, 2473, 1643, 26, 784, 3667, 823, 29215, 426, 7642, 3829, 27, 284, 10791, 3667, 426, 505, 280, 636, 284, 442, 10791, 203, 823, 10791, 2825, 44, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 2179, 30, 4467, 711, 291, 630, 32, 1643, 280, 2179, 291, 630, 32, 4243, 280, 4467, 291, 630, 32, 1167, 280, 1671, 32, 3858, 26, 1643, 27, 291, 630, 32, 1339, 280, 617, 2682, 81, 1167, 81, 823, 26, 426, 30, 4467, 27, 284, 665, 18186, 26, 784, 30, 706, 711, 291, 3946, 280, 8529, 26, 784, 32, 4243, 30, 630, 32, 1167, 32, 15404, 26, 605, 490, 291, 442, 630, 32, 1339, 14605, 2665, 26, 3028, 490, 284, 665, 1491, 26, 784, 30, 803, 711, 291, 442, 630, 32, 15404, 26, 761, 32, 850, 26, 784, 32, 1167, 32, 891, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 6, 6, 4, 4, 5, 6, 6, 7, 6, 6, 8, 6, 5, 5, 11, 12, 11, 10, 9, 10, 9, 4, 4, 5, 6, 6, 7, 6, 5, 5, 8, 8, 12, 11, 10, 14, 14, 14, 14, 13, 12, 13, 12, 12, 14, 15, 14, 14, 14, 10, 10, 11, 11, 11, 12, 13, 10, 6, 6, 7, 11, 11, 10, 9, 12, 11, 12, 12, 11, 11, 9, 9, 2, 2, 5, 6, 6, 4, 4, 2, 2, 3, 0, 1, 1, 2, 1, 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, 8, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 8, 11, 12, 10, 11, 10, 11, 10, 4, 4, 5, 7, 8, 7, 10, 10, 11, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 10, 9, 10, 9, 12, 11, 12, 10, 11, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 1, 4, 4, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 2, 0, 3, 3, 1, 3, 3, 3, 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, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 0, 2, 1, 0, 1, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 12388, 30, 5237, 203, 1070, 12388, 1188, 484, 2130, 30, 484, 924, 30, 484, 47824, 1432, 203, 1070, 8485, 510, 690, 1188, 47585, 590, 690, 203, 823, 10473, 3930, 2659, 885, 590, 690, 26, 2659, 885, 590, 690, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 47585, 590, 690, 3667, 1664, 3207, 784, 27, 291, 630, 1114, 95, 16218, 17412, 280, 1665, 291, 630, 1114, 95, 27427, 5618, 280, 1665, 291, 630, 1114, 95, 3267, 2659, 280, 2107, 78, 106, 34, 34, 370, 3228, 106, 34, 34, 785, 284, 665, 5657, 26, 784, 711, 291, 47585, 590, 690, 32, 4534, 26, 784, 27, 291, 415, 630, 1114, 95, 27427, 5618, 44, 324, 630, 1114, 95, 27427, 5618, 32, 4534, 346, 291, 415, 630, 1114, 95, 16218, 17412, 44, 324, 630, 1114, 95, 16218, 17412, 32, 4534, 346, 291, 630, 1114, 95, 3267, 2659, 280, 2107, 78, 106, 34, 34, 370, 3228, 106, 34, 34, 785, 284, 665, 622, 81, 15245, 81, 426, 26, 784, 711, 291, 3097, 284, 665, 6985, 26, 784, 30, 312, 7346, 711, 291, 312, 5745, 280, 2069, 26, 83, 7346, 27, 291, 436, 595, 328, 2155, 26, 34, 30, 312, 5745, 711, 324, 10613, 1078, 280, 630, 1114, 95, 27427, 5618, 32, 1978, 81, 1293, 26, 83, 7346, 77, 91, 1130, 324, 415, 10613, 1078, 610, 484, 924, 44, 400, 415, 12388, 1114, 2811, 44, 528, 5237, 32, 8228, 32, 1821, 26, 784, 32, 371, 81, 15245, 81, 426, 346, 474, 330, 534, 690, 8977, 1048, 821, 3432, 330, 474, 596, 26, 91, 27, 474, 3228, 96, 683, 400, 630, 1114, 95, 1078, 280, 12388, 32, 87, 1337, 1432, 400, 1626, 324, 4348, 10613, 1078, 610, 484, 47824, 1432, 44, 400, 630, 1114, 95, 1078, 280, 12388, 32, 87, 3595, 1011, 400, 1626, 324, 4348, 10613, 1078, 610, 484, 2130, 44, 400, 1351, 5745, 280, 630, 1114, 95, 27427, 5618, 32, 371, 81, 1700, 81, 1594, 1657, 346, 400, 415, 595, 610, 225, 34, 44, 528, 630, 1114, 95, 3267, 2659, 77, 35, 79, 280, 312, 7346, 77, 34, 79, 528, 630, 1114, 95, 16218, 17412, 32, 6528, 26, 784, 1114, 95, 3267, 2659, 30, 1351, 5745, 27, 400, 813, 44, 528, 630, 1114, 95, 16218, 17412, 32, 6528, 26, 83, 7346, 77, 91, 31, 35, 44, 91, 29, 35, 614, 1351, 5745, 27, 291, 630, 1114, 95, 3267, 2659, 77, 34, 79, 280, 312, 7346, 77, 83, 5745, 429, 225, 35, 79, 291, 415, 630, 32, 371, 81, 1293, 346, 610, 12388, 32, 87, 22346, 299, 44, 324, 415, 630, 1114, 95, 16218, 17412, 32, 9294, 81, 272, 3967, 81, 605, 346, 461, 766, 3083, 308, 784, 32, 371, 81, 30900, 346, 848, 12388, 32, 15456, 41425, 81, 29520, 711, 400, 630, 1114, 95, 1078, 280, 12388, 32, 87, 3595, 1011, 291, 442, 630, 32, 371, 81, 1293, 346, 284, 665, 622, 81, 30900, 26, 784, 711, 291, 442, 630, 1114, 95, 16218, 17412, 32, 371, 81, 30900, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 8, 8, 7, 8, 8, 8, 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, 10, 10, 10, 10, 9, 7, 10, 10, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 8, 8, 7, 8, 7, 8, 7, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 4, 4, 7, 8, 8, 8, 6, 6, 10, 10, 10, 10, 9, 7, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 9, 8, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 7, 5, 5, 9, 8, 8, 11, 12, 12, 12, 10, 11, 11, 11, 10, 12, 12, 11, 12, 11, 6, 6, 7, 9, 8, 8, 9, 7, 7, 7, 9, 10, 11, 9, 9, 9, 14, 15, 13, 14, 13, 19, 18, 19, 19, 19, 19, 19, 18, 16, 16, 18, 18, 18, 18, 18, 18, 18, 15, 15, 17, 18, 17, 14, 14, 17, 16, 8, 8, 11, 12, 12, 10, 10, 11, 12, 12, 12, 8, 8, 7, 7, 8, 10, 9, 9, 10, 10, 8, 8, 8, 12, 13, 13, 11, 11, 12, 13, 13, 13, 9, 9, 7, 7, 8, 10, 9, 9, 10, 8, 8, 8, 12, 11, 11, 14, 15, 15, 15, 13, 14, 14, 14, 14, 14, 14, 13, 9, 9, 10, 11, 11, 12, 10, 10, 10, 15, 16, 16, 16, 14, 15, 14, 13, 13, 15, 14, 15, 14, 11, 11, 15, 16, 16, 16, 14, 15, 14, 16, 15, 16, 16, 16, 14, 14, 15, 14, 10, 10, 11, 11, 11, 16, 17, 17, 17, 15, 16, 15, 17, 17, 16, 19, 18, 19, 17, 19, 18, 19, 16, 15, 16, 15, 4, 4, 8, 9, 9, 9, 7, 8, 7, 6, 6, 8, 7, 9, 9, 8, 8, 9, 7, 4, 4, 5, 8, 9, 9, 9, 8, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 11, 12, 12, 12, 10, 11, 11, 11, 11, 11, 11, 10, 8, 8, 9, 8, 13, 12, 13, 13, 13, 12, 10, 10, 11, 12, 12, 12, 12, 9, 7, 7, 11, 12, 12, 10, 10, 11, 12, 12, 12, 4, 4, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 9, 9, 7, 8, 8, 8, 7, 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, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 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, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 3, 2, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 5, 5, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 2, 2, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 4, 0, 1, 1, 2, 2, 4, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 5, 0, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 3, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 3, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, 2, 2, 2, 1, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 17825, 10195, 1598, 619, 18283, 203, 465, 17825, 10195, 1598, 619, 18283, 203, 62, 20715, 7583, 10165, 720, 6020, 284, 3813, 31, 35, 34, 34, 32, 3212, 203, 79, 203, 979, 1156, 62, 20715, 7583, 3818, 328, 498, 20715, 7583, 10165, 720, 44, 284, 4300, 501, 5175, 2265, 47, 12511, 32, 501, 5175, 2265, 1339, 26, 291, 6804, 13548, 282, 518, 26, 324, 617, 17081, 7583, 3818, 47, 505, 62, 20715, 7583, 3818, 30, 324, 617, 5465, 1043, 3818, 6020, 34, 32, 34, 35, 614, 324, 617, 5580, 3818, 6020, 35, 39, 32269, 324, 617, 16747, 2007, 347, 32724, 479, 20, 291, 6804, 270, 5175, 518, 26, 324, 617, 8211, 1043, 3818, 47, 34, 32, 34, 34, 35, 30, 324, 617, 8816, 16083, 3818, 6020, 35, 34, 29336, 291, 829, 284, 3891, 2007, 101, 720, 6020, 291, 330, 16562, 282, 6183, 17081, 7583, 3818, 370, 291, 330, 501, 5175, 6183, 5465, 1043, 3818, 370, 4456, 330, 501, 5175, 6183, 8211, 1043, 3818, 370, 291, 330, 501, 5175, 1191, 66, 581, 19296, 367, 12267, 370, 291, 330, 501, 5175, 1191, 4754, 66, 581, 19296, 367, 12267, 307, 1261, 370, 4456, 330, 501, 5175, 1191, 33947, 692, 3670, 101, 8924, 370, 16189, 330, 501, 5175, 1191, 7471, 2776, 16153, 3670, 101, 8924, 370, 291, 330, 501, 5175, 1191, 3230, 3452, 16153, 3670, 101, 8924, 370, 16189, 330, 501, 5175, 1191, 3230, 3452, 16083, 3670, 25, 284, 1481, 284, 18283, 1114, 1216, 26, 12511, 32, 9769, 32, 20663, 7167, 26, 3969, 26, 953, 2007, 101, 720, 30, 3758, 501, 5175, 2265, 32, 1110, 936, 26, 953, 2007, 101, 720, 7748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 4, 2, 2, 0, 1, 1, 4, 4, 2, 2, 0, 3, 3, 3, 3, 3, 2, 3, 3, 6, 7, 7, 7, 7, 5, 3, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 5, 5, 5, 4, 11, 10, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 10, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 10, 8, 8, 10, 10, 9, 11, 11, 11, 8, 8, 10, 10, 9, 11, 11, 11, 8, 8, 7, 7, 7, 6, 6, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 7, 9, 9, 9, 6, 6, 2, 2, 5, 5, 5, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 5, 6, 5, 9, 8, 9, 7, 8, 8, 7, 9, 9, 10, 10, 10, 10, 9, 12, 12, 12, 12, 11, 12, 12, 11, 12, 12, 12, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 3, 1, 1, 1, 1, 2, 1, 1, 0, 0, 5, 1, 1, 1, 1, 1, 0, 0, 7, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 3, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 19271, 1146, 1188, 319, 203, 1070, 19271, 1146, 1188, 273, 4692, 203, 465, 3387, 203, 465, 4356, 26343, 203, 465, 26313, 203, 465, 17735, 37, 203, 465, 1133, 203, 465, 2322, 203, 465, 3995, 203, 823, 2662, 974, 26, 2251, 93, 32, 2136, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2590, 30, 2029, 2136, 30, 468, 30, 751, 30, 3225, 30, 1433, 1515, 711, 291, 273, 4692, 32, 2136, 3667, 1664, 3207, 784, 30, 2590, 27, 291, 630, 32, 2590, 280, 6514, 291, 630, 32, 2029, 2136, 280, 2761, 2136, 291, 630, 32, 468, 280, 457, 291, 630, 32, 751, 280, 630, 32, 1001, 2861, 26, 751, 27, 291, 630, 32, 3225, 280, 8705, 291, 630, 32, 1433, 1515, 280, 1779, 1515, 32, 426, 291, 630, 32, 1874, 280, 3177, 291, 630, 32, 4446, 280, 1605, 291, 630, 32, 9793, 280, 3330, 291, 630, 32, 6654, 280, 225, 34, 32, 34, 291, 630, 32, 890, 81, 4446, 280, 1605, 291, 630, 32, 1516, 7252, 280, 225, 34, 291, 630, 32, 2135, 11029, 280, 225, 34, 291, 630, 32, 31145, 280, 1665, 291, 630, 32, 19145, 280, 2933, 291, 630, 32, 2040, 81, 890, 280, 3177, 291, 630, 32, 2501, 280, 313, 4620, 319, 3753, 5430, 4998, 2484, 848, 301, 34, 3845, 291, 630, 32, 1696, 81, 6805, 280, 225, 34, 291, 630, 3667, 2682, 2798, 346, 291, 630, 3667, 2682, 10580, 346, 291, 630, 3667, 2682, 558, 346, 291, 630, 3667, 2682, 1996, 346, 284, 665, 1156, 2682, 2798, 26, 784, 711, 291, 630, 32, 761, 280, 630, 32, 468, 32, 1676, 974, 26, 784, 32, 751, 27, 291, 630, 32, 2135, 3579, 280, 630, 32, 761, 32, 2135, 3579, 346, 284, 665, 1156, 2682, 10580, 26, 784, 711, 291, 630, 32, 18575, 81, 3242, 280, 273, 4692, 32, 3350, 1071, 26, 784, 32, 2590, 27, 291, 630, 32, 101, 280, 273, 4692, 32, 36498, 26, 784, 32, 2590, 30, 18508, 1057, 10163, 370, 2016, 47, 784, 32, 18575, 81, 3242, 32, 107, 1071, 27, 291, 630, 32, 18575, 81, 3242, 32, 7799, 26, 107, 5825, 47, 784, 32, 101, 32, 470, 27, 291, 630, 32, 18575, 81, 3242, 32, 7114, 3609, 34, 370, 1344, 47, 784, 32, 3225, 30, 14177, 1057, 105, 683, 291, 630, 32, 9211, 280, 273, 4692, 32, 3350, 1071, 26, 784, 32, 2029, 2136, 27, 291, 630, 32, 5825, 11783, 280, 273, 4692, 32, 36498, 26, 784, 32, 2029, 2136, 30, 18508, 1057, 10163, 370, 12928, 2016, 47, 784, 32, 9211, 32, 107, 1071, 27, 291, 630, 32, 9211, 32, 7799, 26, 107, 5825, 47, 784, 32, 5825, 11783, 32, 470, 27, 291, 630, 32, 9211, 32, 7114, 3609, 34, 370, 1344, 1057, 2348, 422, 436, 44, 10699, 784, 32, 3225, 30, 14177, 1057, 105, 683, 284, 665, 1156, 2682, 558, 26, 784, 711, 291, 630, 32, 426, 280, 630, 32, 751, 77, 784, 32, 751, 32, 100, 1809, 32087, 29, 35, 10056, 291, 630, 32, 32860, 280, 630, 32, 426, 2867, 784, 32, 426, 32, 1809, 5791, 3830, 291, 630, 32, 32860, 280, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 4, 5, 4, 5, 5, 4, 3, 3, 9, 8, 9, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 8, 7, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 4, 4, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 10, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 6, 6, 9, 10, 8, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 9, 8, 9, 9, 8, 10, 9, 10, 8, 4, 4, 7, 8, 6, 6, 9, 8, 9, 8, 10, 9, 10, 8, 10, 9, 11, 11, 8, 9, 12, 11, 12, 12, 12, 10, 11, 11, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 8, 11, 10, 11, 9, 10, 7, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 9, 7, 8, 10, 9, 10, 7, 7, 8, 10, 10, 4, 4, 7, 8, 6, 6, 9, 8, 9, 9, 8, 10, 9, 10, 10, 8, 4, 4, 7, 8, 8, 6, 6, 9, 8, 9, 8, 10, 9, 10, 10, 8, 10, 9, 11, 11, 8, 8, 9, 12, 11, 12, 10, 11, 11, 8, 4, 4, 8, 9, 7, 8, 7, 9, 9, 8, 11, 10, 11, 11, 9, 10, 7, 4, 4, 8, 9, 7, 8, 7, 9, 9, 7, 8, 11, 11, 11, 11, 11, 11, 10, 11, 7, 7, 8, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 7, 13, 12, 13, 11, 12, 12, 11, 9, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 12, 11, 12, 10, 11, 10, 12, 4, 4, 7, 8, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 2, 0, 0, 1, 2, 2, 9, 9, 0, 1, 1, 1, 2, 3, 2, 5, 5, 2, 7, 2, 9, 2, 11, 2, 13, 13, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 3, 1, 2, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 3, 0, 2, 2, 1, 1, 5, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 3, 1, 2, 1, 1, 5, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 5, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 4, 4, 0, 2, 0, 0 ]
[ 1070, 17126, 279, 782, 33109, 32, 47771, 32, 4738, 32, 3524, 81, 4738, 1188, 3659, 3341, 3265, 7262, 203, 1070, 6109, 81, 2846, 1188, 34281, 203, 1070, 17126, 279, 782, 33109, 32, 47771, 32, 47771, 32, 2445, 81, 3153, 1188, 7688, 4220, 203, 1070, 17126, 279, 782, 33109, 32, 47771, 32, 3378, 1188, 9035, 203, 823, 7688, 4220, 28798, 3265, 7262, 26, 34243, 32, 20562, 11128, 1243, 7262, 711, 284, 804, 280, 34281, 32, 30400, 26, 3648, 47, 2700, 27, 284, 1780, 280, 34281, 32, 16357, 26, 850, 81, 2585, 47, 1815, 27, 284, 443, 11985, 44, 291, 1542, 280, 9035, 291, 3829, 280, 2726, 314, 370, 1750, 330, 1311, 683, 203, 823, 7688, 4220, 3265, 7262, 26, 34243, 32, 20562, 11128, 1243, 7262, 711, 284, 38893, 3341, 280, 3659, 3341, 3265, 7262, 26, 1855, 1057, 31565, 81, 3524, 683, 284, 7699, 3341, 280, 3659, 3341, 3265, 7262, 26, 1855, 1057, 5410, 81, 3524, 683, 284, 443, 11985, 44, 291, 1542, 280, 7688, 4220, 291, 3829, 280, 2726, 314, 370, 1750, 330, 1311, 370, 1750, 330, 31565, 3341, 370, 1750, 330, 5410, 3341, 683, 291, 7713, 280, 225, 35, 284, 665, 1487, 26, 784, 30, 25776, 81, 605, 711, 291, 4054, 81, 3153, 280, 7688, 4220, 346, 291, 4054, 81, 3153, 32, 1311, 280, 25776, 81, 605, 710, 1311, 785, 291, 38893, 81, 3524, 280, 25776, 81, 605, 32, 3235, 463, 31565, 81, 3524, 683, 291, 415, 38893, 81, 3524, 44, 324, 415, 38893, 81, 3524, 32, 371, 463, 314, 370, 1665, 711, 400, 4054, 81, 3153, 32, 31565, 81, 3524, 280, 9035, 32, 5740, 32, 371, 26, 314, 47, 31565, 81, 3524, 32, 371, 463, 314, 370, 1665, 490, 324, 813, 44, 400, 4054, 81, 3153, 32, 31565, 81, 3524, 280, 1665, 291, 7699, 81, 3524, 280, 25776, 81, 605, 32, 3235, 463, 5410, 81, 3524, 683, 291, 415, 7699, 81, 3524, 44, 324, 415, 7699, 81, 3524, 32, 371, 463, 314, 370, 1665, 711, 400, 4054, 81, 3153, 32, 5410, 81, 3524, 280, 9035, 32, 5740, 32, 371, 26, 314, 47, 5410, 81, 3524, 32, 371, 463, 314, 370, 1665, 490, 324, 813, 44, 400, 4054, 81, 3153, 32, 5410, 81, 3524, 280, 1665, 291, 4054, 81, 3153, 32, 2853, 346, 291, 442, 4054, 81, 3153, 284, 665, 1974, 26, 784, 30, 1980, 30, 25776, 81, 605, 711, 291, 1980, 32, 1311, 280, 25776, 81, 605, 32, 371, 463, 1311, 370, 1980, 32, 1311, 27, 291, 38893, 81, 3524, 280, 25776, 81, 605, 32, 3235, 463, 31565, 81, 3524, 683, 291, 415, 38893, 81, 3524, 44, 324, 415, 38893, 81, 3524, 32, 371, 463, 314, 370, 1980, 32, 31565, 81, 3524, 81, 314, 711, 400, 1980, 32, 31565, 81, 3524, 280, 9035, 32, 5740, 32, 371, 26, 314, 47, 31565, 81, 3524, 32, 371, 463, 314, 370, 1665, 490, 324, 813, 44, 400, 1980, 32, 31565, 81, 3524, 280, 1980, 32, 31565, 81, 3524, 81, 314, 291, 813, 44, 324, 1980, 32, 31565, 81, 3524, 280, 1665, 291, 7699, 81, 3524, 280, 25776, 81, 605, 32, 3235, 463, 5410, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 6, 2, 2, 3, 3, 3, 3, 6, 6, 4, 4, 6, 6, 9, 9, 7, 7, 9, 9, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 8, 7, 9, 9, 9, 9, 2, 2, 5, 4, 4, 6, 6, 6, 6, 8, 7, 9, 9, 9, 9, 2, 2, 3, 3, 3, 3, 6, 6, 7, 4, 4, 6, 6, 9, 9, 7, 7, 9, 9, 7, 7, 9, 9, 9, 7, 7, 9, 9, 9, 4, 4, 6, 6, 7, 2, 2, 3, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 8, 4, 4, 8, 8, 7, 8, 6, 6, 8, 8, 7, 9, 9, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 7, 10, 10, 9, 10, 9, 11, 11, 9, 9, 7, 7, 12, 12, 11, 12, 12, 12, 10, 10, 13, 14, 12, 13, 12, 14, 13, 16, 16, 16, 15, 16, 15, 17, 17, 15, 15, 7, 7, 8, 8, 8, 13, 13, 12, 13, 13, 13, 11, 11, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 7, 10, 10, 9, 10, 9, 11, 11, 9, 9, 7, 7, 12, 12, 11, 12, 12, 12, 10, 10, 13, 14, 12, 13, 12, 14, 13, 16, 16, 16, 15, 16, 15, 17, 17, 15, 15, 7, 7, 8, 8, 8, 13, 13, 12, 13, 13, 13, 11, 11, 4, 4, 8, 8, 7, 8, 7, 4, 4, 5, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 6, 6, 9, 9, 8, 9, 8, 10, 10, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 4, 4, 5, 6, 6, 5, 5, 5, 7, 10, 10, 9, 10, 9, 11, 11, 9, 10, 11, 11, 11, 11, 11, 9, 7, 7, 11, 12, 12, 12, 10, 10, 13, 14, 12, 13, 12, 14, 13, 16, 16, 16, 15, 16, 15, 17, 17, 15, 15, 7, 7, 8, 8, 8, 12, 13, 13, 13, 11, 11, 12, 13, 13, 13, 13, 13, 5, 5, 6, 6, 6, 10, 11, 11, 11, 9, 9, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 8, 10, 10 ]
[ 0, 0, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 2, 2, 0, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 2, 2, 1, 2, 0, 5, 5, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 4, 4, 2, 2, 2, 2, 0, 0, 2, 3, 3, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 3, 3, 0, 0, 2, 4, 4, 3, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 5, 5, 5, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 2, 1, 4, 4, 7, 1, 1, 4, 4, 4, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 4, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1 ]
[ 823, 16545, 4868, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 2544, 280, 2149, 291, 630, 32, 6557, 280, 2149, 284, 665, 3051, 26, 784, 30, 312, 711, 291, 1550, 81, 1094, 280, 312, 291, 1519, 280, 1605, 291, 2218, 630, 32, 2544, 77, 1700, 81, 1094, 79, 863, 1550, 81, 1094, 44, 324, 1519, 32, 1689, 26, 1700, 81, 1094, 27, 324, 1550, 81, 1094, 280, 630, 32, 2544, 77, 1700, 81, 1094, 79, 291, 436, 1541, 328, 1519, 44, 324, 630, 32, 2544, 77, 1251, 79, 280, 1550, 81, 1094, 291, 442, 1550, 81, 1094, 284, 665, 9475, 26, 784, 30, 312, 30, 323, 711, 291, 442, 630, 32, 2388, 26, 83, 27, 610, 630, 32, 2388, 26, 84, 27, 284, 665, 2290, 26, 784, 30, 312, 711, 291, 442, 630, 32, 2388, 26, 83, 27, 284, 665, 1487, 26, 784, 30, 312, 711, 291, 415, 312, 646, 328, 630, 32, 2544, 44, 324, 630, 32, 2544, 77, 83, 79, 280, 312, 324, 630, 32, 6557, 77, 83, 79, 280, 225, 35, 284, 665, 15234, 26, 784, 30, 312, 30, 323, 711, 291, 630, 32, 1297, 26, 83, 27, 291, 630, 32, 1297, 26, 84, 27, 291, 312, 81, 2388, 280, 630, 32, 2388, 26, 83, 27, 291, 323, 81, 2388, 280, 630, 32, 2388, 26, 84, 27, 291, 415, 630, 32, 6557, 77, 83, 81, 2388, 79, 848, 630, 32, 6557, 77, 84, 81, 2388, 2786, 324, 630, 32, 2544, 77, 84, 81, 2388, 79, 280, 312, 81, 2388, 324, 630, 32, 6557, 77, 83, 81, 2388, 79, 1454, 630, 32, 6557, 77, 84, 81, 2388, 79, 291, 813, 44, 324, 630, 32, 2544, 77, 83, 81, 2388, 79, 280, 323, 81, 2388, 324, 630, 32, 6557, 77, 84, 81, 2388, 79, 1454, 630, 32, 6557, 77, 83, 81, 2388, 79, 284, 665, 2385, 26, 784, 30, 312, 711, 291, 415, 312, 646, 328, 630, 32, 2544, 44, 324, 442, 225, 34, 291, 442, 630, 32, 6557, 77, 784, 32, 2388, 26, 83, 2177, 203, 589, 2575, 2262, 284, 15234, 81, 1809, 280, 16545, 4868, 346, 284, 15234, 81, 1809, 32, 13304, 26, 35, 30, 225, 37, 27, 284, 15234, 81, 1809, 32, 13304, 26, 35, 30, 225, 38, 27, 284, 15234, 81, 1809, 32, 13304, 26, 36, 30, 225, 39, 27, 284, 15234, 81, 1809, 32, 13304, 26, 39, 30, 225, 40, 27, 284, 15234, 81, 1809, 32, 13304, 26, 41, 30, 225, 42, 27, 284, 15234, 81, 1809, 32, 13304, 26, 41, 30, 225, 43, 27, 284, 15234, 81, 1809, 32, 13304, 26, 37, 30, 225, 43, 27, 284, 436, 595, 328, 2155, 26, 35, 30, 225, 35, 34, 711, 291, 1459, 26, 324, 19436, 438, 328, 2350, 2149, 623, 2149, 4702, 2296, 1643, 26, 400, 595, 30, 15234, 81, 1809, 32, 1809, 26, 91, 471, 15234, 81, 1809, 32, 998, 26, 91, 27, 324, 829, 291, 829, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 2575, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 4, 4, 6, 6, 4, 4, 5, 8, 9, 7, 8, 8, 8, 7, 6, 6, 7, 7, 5, 5, 5, 9, 10, 9, 10, 10, 10, 9, 6, 6, 9, 9, 8, 8, 10, 11, 9, 10, 10, 10, 9, 4, 4, 5, 5, 5, 5, 5, 5, 10, 11, 9, 10, 9, 8, 8, 9, 9, 4, 4, 5, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 8, 9, 8, 9, 8, 6, 6, 8, 9, 8, 9, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 8, 5, 5, 5, 10, 11, 9, 10, 9, 8, 8, 6, 6, 10, 11, 9, 10, 9, 8, 8, 9, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 8, 9, 7, 8, 8, 8, 7, 6, 6, 8, 9, 7, 8, 8, 8, 7, 5, 5, 10, 11, 9, 10, 10, 10, 9, 8, 8, 9, 9, 6, 6, 10, 11, 9, 10, 10, 10, 9, 8, 8, 10, 11, 9, 10, 10, 10, 9, 5, 5, 6, 6, 6, 11, 12, 10, 11, 11, 11, 10, 9, 9, 10, 10, 7, 7, 11, 12, 10, 11, 11, 11, 10, 9, 9, 11, 12, 10, 11, 11, 11, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 6, 7, 8, 5, 5, 5, 7, 8, 4, 4, 5, 7, 8, 6, 9, 8, 9, 8, 9, 8, 0, 1, 1, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 6, 6, 5, 6, 5, 6, 5, 5, 6, 5, 2, 2, 6, 6, 5, 6, 5, 6, 5, 5, 6, 5, 2, 2, 6, 6, 5, 6, 5, 6, 5, 5, 6, 5, 2, 2, 6, 6, 5, 6, 5, 6, 5, 5, 6, 5, 2, 2, 6, 6, 5, 6, 5, 6, 5, 5, 6, 5, 2, 2, 6, 6, 5, 6, 5, 6, 5, 5, 6, 5, 2, 2, 6, 6, 5, 6, 5, 6, 5, 5, 6, 5, 2, 2, 3, 3, 3, 5, 6, 5, 5, 6, 6, 5, 3, 3, 7, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 9, 9, 9, 9, 12, 12, 11, 12, 11, 12, 11, 9, 12, 12, 11, 12, 11, 12, 11, 9, 9, 7, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 0, 0, 0, 2, 2, 4, 4, 4, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 3, 3, 3, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 1, 1, 1, 3, 3, 4, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 3, 3, 0, 2, 0, 2, 0, 0, 0, 2, 3, 3, 5, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 4, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 3, 3, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 6, 2, 1, 2, 2, 2, 6, 6, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 4, 4, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 8, 8, 8, 1, 1, 1, 1, 3, 3, 1, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 1070, 323, 604, 1170, 1188, 3678, 203, 1070, 29253, 81, 1237, 32, 20459, 1188, 6272, 81, 2413, 203, 1070, 29253, 81, 1237, 32, 11452, 1188, 3139, 3180, 984, 203, 1070, 638, 2304, 1188, 1968, 81, 7986, 81, 965, 203, 823, 8052, 304, 520, 295, 1243, 26, 1243, 711, 284, 4118, 280, 1665, 284, 665, 9843, 26, 784, 30, 1789, 711, 291, 442, 630, 32, 3922, 26, 1260, 32, 12474, 26, 1986, 32, 1548, 490, 203, 823, 8052, 304, 520, 295, 2256, 4232, 26, 681, 711, 284, 665, 1156, 1664, 3207, 6933, 30, 636, 30, 26394, 30, 29851, 419, 85, 711, 291, 2599, 26, 3397, 304, 520, 295, 2256, 4232, 30, 9011, 14585, 1664, 3207, 426, 30, 26394, 30, 29851, 419, 85, 27, 291, 9011, 32, 4170, 81, 426, 280, 636, 32, 5729, 922, 3227, 463, 4170, 370, 9142, 291, 415, 646, 636, 610, 330, 3397, 304, 520, 295, 2256, 950, 324, 415, 9011, 32, 7986, 81, 426, 438, 1665, 44, 400, 3636, 3139, 3180, 984, 463, 2023, 6998, 81, 426, 328, 4491, 443, 3417, 683, 324, 415, 9011, 32, 3922, 438, 1665, 44, 400, 3636, 3139, 3180, 984, 463, 2023, 4118, 328, 4491, 443, 3417, 683, 203, 823, 8052, 304, 520, 295, 2256, 26, 1473, 30, 3279, 32095, 47, 3397, 304, 520, 295, 2256, 4232, 711, 284, 6998, 81, 426, 280, 1665, 284, 3219, 81, 2132, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 3497, 81, 426, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 3524, 81, 426, 280, 3497, 81, 426, 291, 5816, 81, 2132, 280, 630, 3667, 823, 9818, 4635, 81, 1664, 81, 2132, 26, 5321, 32, 3494, 1157, 291, 415, 5816, 81, 2132, 44, 324, 3636, 3139, 3180, 984, 463, 2272, 8059, 21128, 2129, 2412, 2803, 44, 301, 34, 16805, 1643, 26, 400, 17359, 32, 2524, 26, 9785, 81, 2132, 2610, 291, 436, 4356, 328, 630, 3667, 823, 9818, 1664, 81, 2132, 44, 324, 39506, 26, 784, 30, 4356, 30, 10306, 32, 3235, 26, 753, 490, 291, 10306, 280, 2149, 291, 2599, 26, 3397, 304, 520, 295, 2256, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 284, 477, 17614, 284, 665, 4118, 26, 6933, 711, 291, 442, 9011, 32, 1160, 32, 3922, 284, 477, 2433, 284, 665, 1984, 26, 784, 711, 291, 442, 1968, 81, 7986, 81, 965, 26, 3524, 81, 426, 47, 784, 32, 3524, 81, 426, 30, 6998, 81, 426, 47, 784, 32, 7986, 81, 426, 27, 284, 665, 622, 81, 965, 26, 784, 30, 1300, 81, 3174, 711, 291, 442, 6272, 81, 2413, 32, 1643, 26, 464, 81, 965, 47, 784, 32, 965, 30, 1300, 81, 3174, 47, 1473, 81, 3174, 27, 284, 477, 17614, 284, 665, 6042, 81, 1664, 81, 2132, 26, 6933, 30, 2803, 711, 291, 442, 1149, 26, 470, 26, 6933, 32, 1664, 81, 2132, 27, 429, 739, 26, 2132, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 10, 9, 10, 9, 11, 10, 11, 9, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 10, 11, 10, 9, 8, 10, 10, 8, 4, 4, 5, 6, 7, 7, 9, 9, 9, 9, 9, 9, 5, 5, 7, 9, 10, 10, 10, 8, 8, 7, 7, 7, 9, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 9, 10, 8, 8, 7, 7, 7, 9, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 7, 6, 6, 9, 10, 10, 9, 9, 9, 9, 9, 8, 11, 10, 11, 10, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 11, 11, 13, 14, 13, 14, 14, 14, 13, 4, 4, 5, 5, 5, 7, 8, 8, 7, 7, 7, 5, 5, 5, 9, 10, 9, 9, 9, 9, 11, 12, 11, 12, 11, 4, 4, 6, 6, 4, 4, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 8, 8, 8, 8, 10, 10, 10, 9, 11, 10, 11, 11, 11, 8, 8, 10, 10, 9, 11, 10, 11, 11, 11, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 8, 7, 8, 7, 9, 9, 9, 8, 10, 9, 10, 7, 7, 9, 9, 8, 9, 9, 9, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 8, 11, 11, 13, 12, 13, 13, 13, 11, 9, 9, 11, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 7, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 2, 2, 2, 2, 7, 7, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 3, 3, 0, 2, 2, 2, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 4, 4, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 3, 2, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 1, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 6436, 619, 2065, 203, 1070, 6436, 32, 4266, 1188, 1201, 81, 35502, 203, 1070, 10446, 843, 32, 893, 1188, 5069, 1658, 203, 1070, 10446, 843, 32, 3229, 1188, 6431, 5560, 203, 589, 894, 81, 4398, 81, 893, 81, 24691, 504, 81, 6803, 5507, 2262, 284, 5941, 280, 5069, 1658, 32, 1664, 81, 5006, 1162, 35, 34, 30, 225, 35, 34, 471, 5318, 47, 2700, 27, 284, 5941, 32, 6803, 5507, 710, 858, 785, 280, 6431, 5560, 26, 291, 2065, 32, 955, 21145, 35, 30, 225, 35, 614, 428, 42, 30, 225, 35, 614, 428, 42, 30, 225, 42, 614, 428, 35, 30, 225, 42, 46600, 284, 537, 81, 3965, 280, 5941, 32, 24691, 504, 81, 452, 81, 6803, 5507, 463, 858, 683, 284, 1201, 81, 35502, 26, 890, 81, 3965, 32, 15047, 77, 35, 5979, 35, 30, 225, 35, 5979, 35, 614, 2933, 27, 284, 1201, 537, 81, 3965, 32, 96, 81, 1508, 346, 610, 225, 40, 38, 203, 589, 894, 81, 4398, 81, 893, 81, 24691, 504, 81, 1493, 3209, 81, 98, 7237, 2262, 284, 5941, 280, 5069, 1658, 32, 1664, 81, 5006, 1162, 35, 34, 30, 225, 35, 34, 471, 5318, 47, 2700, 27, 284, 11487, 280, 6431, 5560, 26, 2356, 32, 955, 21145, 35, 30, 225, 35, 614, 428, 42, 30, 225, 35, 614, 428, 42, 30, 225, 42, 614, 428, 35, 30, 225, 42, 46600, 284, 537, 81, 3965, 280, 5941, 32, 24691, 504, 81, 452, 81, 1493, 3209, 26, 1970, 30, 2260, 81, 266, 81, 1493, 3209, 1057, 98, 7237, 683, 284, 1201, 81, 35502, 26, 890, 81, 3965, 32, 15047, 6894, 225, 35, 5979, 35, 30, 225, 35, 5979, 35, 614, 2933, 27, 284, 1201, 537, 81, 3965, 32, 96, 81, 1508, 346, 610, 225, 40, 38, 203, 589, 894, 81, 4398, 81, 893, 81, 24691, 504, 81, 1493, 3209, 81, 6081, 327, 81, 38727, 2262, 284, 5941, 280, 5069, 1658, 32, 1664, 81, 5006, 1162, 35, 34, 30, 225, 35, 34, 471, 5318, 47, 2700, 27, 284, 11487, 280, 6431, 5560, 26, 2356, 32, 955, 21145, 35, 30, 225, 35, 614, 428, 42, 30, 225, 35, 614, 428, 42, 30, 225, 42, 614, 428, 35, 30, 225, 42, 46600, 284, 537, 81, 3965, 280, 5941, 32, 24691, 504, 81, 452, 81, 1493, 3209, 26, 1970, 30, 3391, 2260, 81, 266, 81, 1493, 3209, 1057, 6081, 327, 81, 38727, 683, 284, 1201, 81, 35502, 26, 890, 81, 3965, 32, 15047, 6894, 225, 36, 5979, 35, 30, 225, 36, 5979, 35, 614, 2933, 27, 284, 1201, 537, 81, 3965, 32, 96, 81, 1508, 346, 610, 225, 39, 40, 203, 589, 894, 81, 4398, 81, 893, 81, 1664, 81, 1070, 81, 1493, 3209, 2262, 284, 11487, 280, 6431, 5560, 26, 2356, 32, 955, 21145, 39, 30, 225, 39, 614, 428, 39, 30, 225, 36, 34, 614, 428, 36, 34, 30, 225, 36, 34, 46600, 284, 3960, 280, 5069, 1658, 32, 1664, 81, 1070, 81, 1493, 3209, 26, 1970, 30, 5318, 47, 2700, 30, 21202, 504, 47, 2700, 27, 284, 1201, 3960, 32, 96, 81, 1508, 346, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 7, 7, 8, 8, 7, 6, 7, 8, 6, 2, 2, 6, 7, 7, 5, 7, 7, 4, 4, 6, 6, 6, 6, 8, 9, 8, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 2, 2, 5, 5, 5, 8, 8, 8, 7, 8, 6, 8, 7, 9, 6, 6, 8, 7, 9, 6, 5, 5, 2, 2, 3, 7, 7, 6, 7, 7, 7, 6, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 7, 7, 8, 8, 7, 6, 7, 8, 6, 2, 2, 4, 4, 6, 6, 9, 8, 9, 8, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 2, 2, 5, 5, 5, 8, 8, 8, 7, 8, 6, 6, 8, 7, 9, 6, 6, 8, 7, 9, 6, 5, 5, 2, 2, 3, 7, 7, 6, 7, 7, 7, 6, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 7, 7, 8, 8, 7, 6, 7, 8, 6, 2, 2, 4, 4, 6, 6, 9, 8, 9, 8, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 10, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 6, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 8, 8, 8, 7, 8, 6, 6, 8, 7, 9, 6, 6, 8, 7, 9, 6, 5, 5, 2, 2, 3, 7, 7, 6, 7, 7, 7, 6, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 9, 8, 9, 8, 11, 10, 10, 11, 10, 9, 11, 10, 10, 11, 11, 10, 9, 11, 11, 10, 10, 11, 11, 10, 2, 2, 4, 4, 7, 6, 7, 7, 7, 7, 7, 7, 6, 7, 6, 6, 7, 8, 6, 6, 8, 7, 8, 6, 2, 2, 3, 6, 7, 7, 7, 6, 4 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 4, 4, 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, 3, 3, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 1, 1, 7, 7, 3, 7, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 4, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 1, 1, 7, 7, 3, 7, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 4, 1, 1, 1, 0, 6, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 1, 1, 7, 7, 3, 7, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 4, 1, 1, 1, 0, 6, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 5, 5, 3, 3, 5, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 0, 5, 2, 1, 4, 4, 2, 0, 2, 2, 2, 1, 1 ]
[ 465, 13092, 203, 1070, 7443, 9028, 32, 1867, 32, 4432, 81, 3731, 81, 14458, 32, 3246, 88, 1188, 551, 6520, 81, 12511, 81, 19338, 203, 50, 12408, 32, 1826, 32, 28913, 26, 284, 330, 3245, 81, 2957, 30, 4446, 370, 284, 428, 291, 308, 23688, 301, 400, 330, 4432, 81, 2946, 81, 2957, 950, 6663, 400, 330, 33436, 950, 6663, 400, 330, 10500, 81, 1003, 81, 3248, 950, 225, 35, 42, 34, 30, 400, 330, 3245, 81, 761, 81, 983, 950, 8493, 8439, 33, 2479, 9028, 31, 1945, 33, 380, 520, 33, 751, 33, 3245, 33, 35, 33, 22586, 33, 34, 35, 33, 3245, 370, 400, 330, 9089, 81, 426, 950, 330, 380, 520, 370, 400, 330, 2795, 81, 314, 950, 330, 22586, 32, 35, 370, 324, 801, 324, 428, 400, 5307, 52, 7100, 429, 60, 312, 2635, 32, 35, 32, 380, 520, 370, 400, 5307, 52, 7100, 429, 97, 7443, 9028, 31, 1945, 33, 380, 520, 33, 751, 33, 3245, 33, 35, 33, 22586, 33, 34, 35, 33, 3245, 32, 541, 370, 400, 5307, 52, 7100, 429, 87, 7443, 9028, 31, 1945, 33, 380, 520, 33, 751, 33, 3245, 33, 35, 33, 22586, 33, 34, 35, 33, 3245, 32, 530, 370, 400, 5307, 52, 7100, 429, 73, 225, 37, 370, 324, 2505, 291, 2588, 291, 308, 23688, 301, 400, 330, 4432, 81, 2946, 81, 2957, 950, 6663, 400, 330, 33436, 950, 301, 528, 6470, 99, 950, 330, 1444, 424, 370, 528, 6470, 52, 950, 2550, 528, 6470, 282, 950, 2550, 400, 801, 400, 330, 10500, 81, 1003, 81, 3248, 950, 225, 36, 34, 34, 30, 400, 330, 3245, 81, 761, 81, 983, 950, 8493, 8439, 33, 2479, 9028, 31, 1945, 33, 380, 520, 33, 751, 33, 3245, 33, 35, 33, 22586, 33, 34, 35, 33, 3245, 370, 400, 330, 9089, 81, 426, 950, 330, 380, 520, 370, 400, 330, 2795, 81, 314, 950, 330, 22586, 32, 35, 370, 324, 801, 324, 428, 400, 5307, 52, 7100, 429, 60, 312, 2635, 32, 35, 32, 380, 520, 370, 400, 5307, 52, 7100, 429, 97, 7443, 9028, 31, 1945, 33, 380, 520, 33, 751, 33, 3245, 33, 35, 33, 22586, 33, 34, 35, 33, 3245, 32, 541, 370, 400, 5307, 52, 7100, 429, 87, 7443, 9028, 31, 1945, 33, 380, 520, 33, 751, 33, 3245, 33, 35, 33, 22586, 33, 34, 35, 33, 3245, 32, 530, 370, 400, 5307, 52, 7100, 429, 73, 225, 38, 370, 400, 5307, 52, 7100, 429, 99, 33878, 370, 400, 5307, 52, 7100, 429, 52, 370, 400, 5307, 52, 7100, 429, 282, 370, 324, 2505, 291, 2588, 284, 2505, 203, 27, 203, 589, 894, 81, 1643, 81, 33436, 26, 3245, 81, 2957, 44, 5436, 30, 5430, 44, 1149, 711, 284, 1201, 551, 6520, 81, 12511, 81, 19338, 32, 1643, 81, 33436, 26, 3245, 81, 2957, 27, 610, 5430, 203, 589, 894, 81, 371, 81, 4737, 81, 21633, 2262, 284, 963, 101, 280, 551, 6520, 81, 12511, 81, 19338, 32, 371, 81, 4737, 81, 21633, 4064, 761, 7642, 1665, 27, 284, 1201, 963, 101, 77, 34, 997, 426, 610, 1156 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 3, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 2, 6, 5, 6, 4, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 7, 7, 10, 10, 8, 7, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 6, 6, 5, 5, 6, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 12, 12, 12, 9, 9, 12, 12, 10, 9, 9, 12, 12, 10, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 7, 6, 6, 5, 5, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 5, 5, 5, 4, 4, 3, 3, 4, 4, 3, 2, 2, 4, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 7, 6, 6, 2, 2, 3, 7, 6, 7, 6, 6, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 4, 4, 4, 1, 6, 6, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 9, 1, 1, 2, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 9, 1, 1, 2, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 2, 0, 2, 1, 1 ]
[ 465, 5237, 203, 465, 11412, 203, 465, 2361, 203, 465, 2322, 203, 465, 1133, 203, 1270, 44, 284, 1188, 23983, 203, 7343, 29986, 44, 284, 1459, 27265, 78, 203, 4282, 1849, 372, 2417, 284, 10773, 2443, 23983, 203, 2797, 10773, 438, 646, 2431, 844, 4796, 1159, 372, 2443, 561, 1471, 8792, 81, 3789, 32, 203, 2797, 561, 1957, 646, 1389, 544, 1370, 2664, 30, 844, 4796, 2637, 372, 1976, 9400, 203, 269, 1678, 555, 933, 32, 508, 33, 25931, 97, 3914, 782, 33, 7625, 30, 4630, 11353, 44, 334, 398, 5554, 7892, 1678, 555, 933, 32, 508, 33, 25931, 97, 3914, 782, 33, 7625, 334, 398, 9098, 23983, 334, 398, 12798, 4262, 4705, 32, 978, 2443, 203, 41135, 284, 5237, 32, 4775, 26, 35, 27, 203, 1070, 23983, 2393, 1188, 2198, 14401, 527, 81, 3307, 30, 2198, 14401, 527, 81, 17252, 30, 39305, 81, 9052, 81, 3307, 30, 39305, 81, 9052, 81, 17252, 203, 1237, 280, 23983, 32, 20328, 26, 2393, 47, 7625, 32, 17223, 26, 14162, 81, 678, 47, 1725, 14401, 527, 81, 3307, 30, 12473, 81, 7241, 47, 1725, 14401, 527, 81, 17252, 30, 11244, 2404, 47, 12455, 81, 9052, 81, 3307, 30, 2404, 81, 7241, 47, 12455, 81, 9052, 81, 17252, 490, 203, 4601, 81, 4065, 280, 313, 605, 20, 203, 26636, 81, 779, 81, 3539, 280, 2322, 32, 983, 32, 2524, 26, 4601, 81, 4065, 30, 313, 9785, 32, 27455, 657, 203, 3908, 81, 30746, 1345, 81, 779, 81, 3539, 280, 2322, 32, 983, 32, 2524, 26, 4601, 81, 4065, 30, 313, 1206, 81, 12995, 32, 27455, 657, 203, 589, 622, 81, 496, 81, 2132, 26, 4601, 81, 4065, 711, 284, 1256, 81, 2132, 280, 2149, 284, 1256, 81, 2132, 710, 266, 720, 785, 280, 2322, 32, 983, 32, 2524, 26, 4601, 81, 4065, 30, 330, 22792, 32, 4700, 683, 284, 1256, 81, 2132, 710, 541, 720, 785, 280, 2322, 32, 983, 32, 2524, 26, 4601, 81, 4065, 30, 330, 2620, 31, 22792, 32, 4700, 683, 284, 1256, 81, 2132, 710, 1294, 2976, 785, 280, 2322, 32, 983, 32, 2524, 26, 4601, 81, 4065, 30, 330, 1294, 605, 25844, 284, 415, 1256, 81, 2132, 710, 266, 720, 785, 610, 40496, 291, 1256, 81, 2132, 710, 266, 720, 785, 280, 3005, 22792, 32, 4700, 25, 284, 415, 1256, 81, 2132, 710, 541, 720, 785, 610, 40496, 291, 1256, 81, 2132, 710, 541, 720, 785, 280, 3005, 2620, 31, 22792, 32, 4700, 25, 284, 415, 1256, 81, 2132, 710, 1294, 2976, 785, 610, 40496, 291, 1256, 81, 2132, 710, 1294, 2976, 785, 280, 3005, 1294, 605, 7404, 284, 442, 1256, 81, 2132, 203, 589, 10128, 81, 496, 81, 2132, 26, 496, 81, 2132, 711, 284, 1459, 463, 1612, 44, 264, 330, 474, 1256, 81, 2132, 710, 266, 720, 3490, 284, 1459, 463, 2301, 44, 261, 330, 474, 1256, 81, 2132, 710, 541, 720, 3490, 284, 1459, 463, 6189, 706, 44, 330, 474, 1256, 81, 2132, 710, 1294, 2976, 3490, 203, 589, 1491, 81, 2999, 81, 668, 26, 266, 81, 3607, 711, 284, 11828, 280, 2156, 26, 266, 81, 3607, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 6, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 7, 6, 7, 6, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 5, 8, 7, 8, 7, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 7, 8, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 9, 9, 9, 9, 9, 7, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 6, 6, 5, 7, 7, 7, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 2, 2, 6, 6, 5, 7, 7, 7, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 6, 6, 5, 7, 7, 7, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 8, 2, 2, 3, 6, 6, 5, 7, 7, 7, 4, 4, 3, 3, 8, 8, 7, 9, 9, 9, 6, 6, 8, 8, 8, 8, 2, 2, 3, 6, 6, 5, 7, 7, 7, 4, 4, 3, 3, 8, 8, 7, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 6, 6, 5, 7, 7, 7, 4, 4, 3, 3, 8, 8, 7, 9, 9, 9, 6, 6, 8, 8, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 8, 8, 8, 8, 6, 6, 8, 8, 7, 9, 9, 9, 2, 2, 5, 8, 8, 8, 8, 6, 6, 8, 8, 7, 9, 9, 9, 2, 2, 5, 8, 8, 8, 8, 6, 6, 8, 8, 7, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 6, 7, 7, 7, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 5, 3, 3, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 1, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 2, 2, 1, 1, 0, 0, 7, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 2, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 4, 4, 5, 0, 0, 0, 1, 1, 2, 1, 1, 5, 5, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 6, 0, 0, 0, 1, 1, 2, 1, 1, 6, 6, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 4, 4, 7, 1, 1, 0, 12, 12, 1, 1, 1, 1, 2, 1, 1, 1, 2, 12, 12, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 13, 13, 1, 1, 1, 1, 2, 1, 1, 1, 2, 13, 13, 0, 0, 1, 1, 1, 1, 1 ]
[ 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 816, 1647, 32, 30379, 81, 1647, 1188, 1593, 14547, 30808, 299, 4327, 203, 1070, 816, 1647, 32, 2593, 81, 1647, 1188, 12491, 4327, 203, 465, 5741, 203, 1070, 816, 1521, 32, 4151, 1188, 892, 30, 22148, 203, 1070, 14735, 1188, 39868, 924, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 16289, 4327, 26, 4397, 4327, 30, 1593, 14547, 30808, 299, 4327, 711, 284, 706, 280, 892, 26, 4756, 347, 5732, 706, 436, 322, 2297, 392, 1244, 20706, 4576, 47, 5504, 32, 1286, 27, 284, 477, 17614, 284, 665, 5644, 81, 1070, 81, 2593, 26, 6933, 30, 5592, 81, 1473, 30, 2664, 711, 291, 442, 5053, 605, 950, 2971, 972, 32, 41243, 26, 2593, 81, 1473, 30, 10191, 81, 1216, 47, 1815, 30, 7328, 1057, 9941, 683, 835, 1605, 284, 665, 5644, 81, 452, 81, 2593, 26, 784, 30, 2869, 81, 2548, 711, 291, 1596, 44, 324, 442, 2971, 972, 32, 1070, 800, 26, 784, 32, 605, 27, 291, 2940, 2971, 972, 32, 5732, 40672, 619, 1137, 44, 324, 5430, 280, 630, 32, 605, 32, 2998, 9442, 96, 683, 324, 1628, 30, 3401, 280, 1137, 32, 2705, 324, 3124, 280, 308, 400, 1044, 20, 12014, 372, 1487, 5592, 436, 2297, 301, 881, 4009, 313, 400, 1044, 20, 1222, 44, 8930, 1819, 111, 7362, 324, 6804, 1643, 26, 400, 1619, 47, 4446, 77, 928, 429, 225, 35, 1674, 2881, 429, 225, 38, 34, 44, 2881, 474, 225, 38, 34, 614, 400, 2587, 47, 784, 32, 2645, 30, 324, 829, 324, 3636, 39868, 924, 26, 784, 32, 2645, 30, 3124, 27, 203, 823, 14893, 750, 6189, 4327, 26, 4397, 4327, 30, 1593, 14547, 30808, 299, 4327, 711, 284, 706, 280, 892, 26, 1536, 26409, 4576, 47, 5504, 32, 1286, 27, 284, 477, 17614, 284, 665, 5644, 81, 1070, 81, 2593, 26, 6933, 30, 5592, 81, 1473, 30, 2664, 711, 291, 415, 2069, 26, 2593, 81, 1473, 27, 610, 225, 34, 461, 2069, 26, 2593, 81, 1473, 32, 3028, 1157, 610, 225, 34, 44, 324, 442, 5053, 605, 950, 4247, 835, 1605, 291, 442, 5053, 605, 950, 2971, 972, 32, 41243, 26, 2593, 81, 1473, 30, 10191, 81, 1216, 47, 1815, 30, 7328, 1057, 9941, 683, 835, 1605, 284, 665, 5644, 81, 452, 81, 2593, 26, 784, 30, 2869, 81, 2548, 711, 291, 415, 630, 32, 605, 44, 324, 442, 2971, 972, 32, 1070, 800, 26, 784, 32, 605, 27, 291, 442, 2971, 972, 32, 1308, 26, 784, 32, 3153, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6, 8, 7, 9, 9, 9, 9, 9, 9, 6, 7, 6, 7, 9, 8, 9, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 5, 4, 4, 6, 11, 11, 9, 12, 11, 12, 11, 12, 12, 12, 11, 11, 13, 13, 12, 13, 11, 11, 12, 14, 14, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 7, 10, 9, 10, 10, 9, 11, 10, 11, 9, 5, 5, 6, 9, 8, 9, 9, 7, 7, 6, 6, 6, 9, 9, 12, 13, 11, 12, 11, 14, 13, 7, 7, 10, 10, 9, 9, 10, 11, 7, 7, 9, 9, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 12, 12, 12, 11, 11, 11, 12, 15, 14, 16, 15, 15, 16, 14, 16, 15, 15, 16, 16, 14, 16, 15, 15, 16, 16, 13, 11, 11, 12, 14, 13, 14, 11, 11, 11, 7, 7, 8, 10, 10, 12, 11, 12, 10, 10, 10, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6, 8, 7, 6, 7, 9, 8, 9, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 5, 4, 4, 6, 10, 11, 11, 11, 10, 8, 8, 9, 7, 7, 10, 13, 13, 13, 12, 13, 12, 8, 8, 9, 6, 6, 6, 8, 13, 13, 11, 10, 9, 5, 5, 6, 11, 11, 9, 12, 11, 12, 11, 12, 12, 12, 11, 11, 13, 13, 12, 13, 11, 11, 12, 14, 14, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 7, 10, 9, 10, 10, 9, 11, 10, 11, 9, 4, 4, 5, 8, 7, 8, 7, 9, 8, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 7, 7, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3, 2, 7, 7, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 5, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 1, 2, 0, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 3, 0, 0, 2, 2, 1, 1, 3, 3, 3, 0, 0, 0, 2, 0, 2, 1, 0, 2, 3, 3, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 3, 0, 2, 2, 1, 1, 1, 3, 3, 3, 0, 1, 0, 1, 2, 1, 1, 1, 0, 8, 8, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3, 2, 8, 8, 0, 0, 1, 0, 1, 1, 3, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 4, 4, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 1, 2, 0, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 30, 11412, 30, 12460, 30, 316, 203, 465, 12643, 619, 6121, 203, 1070, 14077, 1188, 22030, 18213, 203, 1070, 24084, 1188, 24084, 203, 500, 32, 31015, 19786, 1458, 13025, 25844, 203, 974, 35, 280, 330, 83, 32, 4700, 25, 203, 974, 36, 280, 330, 84, 32, 4700, 25, 203, 11270, 510, 1142, 280, 225, 34, 203, 3234, 280, 225, 35, 203, 11547, 280, 225, 36, 203, 2999, 280, 225, 37, 203, 86, 579, 280, 225, 38, 203, 18213, 280, 225, 39, 203, 4460, 1557, 280, 225, 40, 203, 36572, 8341, 280, 225, 41, 203, 36572, 8341, 1834, 85, 280, 225, 42, 203, 8341, 4460, 1557, 280, 225, 43, 203, 2301, 2644, 2352, 280, 428, 334, 330, 11270, 510, 1142, 370, 334, 330, 3234, 370, 334, 330, 11547, 370, 334, 330, 4754, 81, 20504, 370, 334, 330, 4496, 26, 95, 7243, 334, 330, 20504, 20553, 334, 330, 68, 31, 22814, 370, 334, 330, 25358, 81, 8341, 370, 334, 330, 25358, 81, 20504, 20553, 334, 330, 25358, 81, 68, 31, 22814, 25, 334, 1481, 203, 589, 19660, 2262, 334, 10180, 35, 280, 6121, 32, 850, 81, 4700, 26, 974, 35, 27, 334, 10180, 36, 280, 6121, 32, 850, 81, 4700, 26, 974, 36, 27, 334, 9105, 280, 10180, 35, 32, 6077, 26, 3210, 36, 30, 2624, 280, 330, 3369, 683, 334, 9105, 710, 18213, 785, 280, 4247, 334, 9105, 710, 4460, 1557, 785, 280, 4247, 334, 9105, 710, 36572, 8341, 785, 280, 4247, 334, 9105, 710, 36572, 8341, 1834, 85, 785, 280, 4247, 334, 9105, 710, 36572, 8341, 4460, 1557, 785, 280, 4247, 334, 9105, 32, 452, 81, 4700, 463, 1433, 32, 4700, 370, 7328, 280, 330, 3310, 31, 42, 370, 1650, 47, 2700, 27, 203, 589, 902, 1643, 2301, 4144, 2262, 334, 15599, 3839, 280, 12460, 32, 13285, 463, 1433, 32, 4700, 683, 334, 436, 803, 328, 24084, 26, 17799, 3839, 711, 284, 623, 2156, 26, 761, 1947, 100, 71, 683, 619, 4237, 974, 9841, 284, 2156, 463, 4601, 32, 4700, 1195, 269, 683, 619, 5582, 974, 44, 397, 4237, 280, 11412, 32, 6308, 26, 1612, 974, 27, 397, 5582, 280, 11412, 32, 7572, 26, 48036, 27, 397, 5582, 32, 7572, 441, 26, 2301, 2644, 2352, 27, 397, 13766, 4754, 280, 225, 34, 397, 3586, 92, 8341, 4460, 1557, 280, 225, 34, 397, 5570, 6477, 280, 225, 36, 397, 2354, 26, 1612, 974, 27, 397, 436, 5570, 328, 24084, 26, 1612, 711, 291, 415, 629, 26, 2352, 77, 11547, 1130, 2377, 225, 35, 37, 39, 44, 616, 5570, 77, 86, 579, 79, 280, 7818, 26, 1808, 26, 2352, 77, 86, 579, 5727, 35, 27, 616, 5570, 77, 18213, 79, 280, 7818, 26, 10740, 18213, 26, 2352, 77, 11547, 614, 2352, 77, 2999, 5727, 34, 27, 616, 5570, 77, 4460, 1557, 79, 280, 36510, 14401, 794, 53, 22, 36, 15792, 53, 8969, 2473, 1643, 26, 2352, 6477, 27, 616, 415, 629, 26, 2352, 77, 18213, 1130, 2377, 225, 41, 38, 44, 324, 5570, 77, 36572, 8341, 79, 280, 7818, 26, 1808, 26, 2352, 77, 2999, 1130, 319, 225, 34, 32, 41, 37 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 4, 3, 4, 3, 5, 5, 5, 0, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 6, 7, 7, 6, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 7, 7, 6, 2, 2, 4, 4, 7, 6, 7, 6, 7, 7, 6, 6, 7, 7, 9, 9, 2, 2, 5, 7, 7, 4, 4, 2, 2, 5, 7, 7, 7, 4, 4, 2, 2, 5, 7, 7, 7, 4, 4, 2, 2, 5, 7, 7, 7, 7, 7, 4, 4, 2, 2, 5, 7, 7, 7, 7, 7, 4, 4, 2, 2, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 6, 6, 8, 8, 8, 8, 5, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 2, 2, 3, 3, 3, 5, 6, 6, 5, 3, 3, 5, 10, 11, 10, 12, 12, 12, 8, 8, 10, 6, 7, 6, 10, 12, 12, 12, 12, 12, 12, 8, 8, 10, 5, 5, 5, 8, 8, 10, 11, 10, 11, 11, 10, 6, 6, 8, 8, 10, 11, 10, 11, 10, 6, 6, 9, 10, 10, 9, 10, 10, 10, 9, 6, 6, 9, 8, 8, 9, 6, 6, 9, 9, 9, 9, 8, 8, 9, 6, 6, 9, 8, 8, 9, 6, 6, 9, 10, 10, 9, 6, 6, 7, 7, 7, 9, 10, 9, 7, 7, 9, 12, 14, 13, 14, 13, 10, 10, 11, 11, 11, 9, 9, 9, 13, 14, 14, 13, 12, 12, 14, 16, 16, 18, 17, 18, 18, 17, 15, 14, 10, 10, 13, 14, 13, 12, 12, 14, 16, 16, 16, 18, 17, 18, 17, 18, 17, 18, 17, 15, 14, 10, 10, 13, 14, 14, 13, 12, 12, 16, 16, 16, 16, 16, 16, 16, 16, 16, 15, 14, 15, 15, 14, 10, 10, 11, 14, 16, 15, 16, 15, 12, 12, 13, 13, 11, 11, 11, 15, 16, 16, 15, 14, 14, 16, 19, 19, 21, 20, 21, 20, 17, 17, 18, 18, 18, 18 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 18, 18, 2, 18, 18, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 2, 4, 4, 0, 1, 2, 0, 0, 4, 4, 0, 1, 1, 2, 0, 0, 4, 4, 0, 1, 1, 2, 0, 0, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 1, 2, 1, 5, 2, 1, 0, 19, 19, 1, 1, 1, 2, 19, 19, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 2, 3, 3, 1, 1, 1, 1, 3, 3, 7, 7, 7, 1, 1, 1, 7, 7, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 3, 1, 3, 3, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 3, 2, 3, 3, 1, 3, 3, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 3, 3, 1, 0, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2 ]
[ 465, 5237, 203, 465, 2322, 203, 589, 6886, 2262, 203, 202, 1216, 440, 6772, 44, 904, 101, 20819, 15630, 21318, 25022, 5767, 517, 983, 33, 452, 33, 8281, 318, 33, 33893, 20, 904, 5237, 32, 6118, 77, 34, 1130, 203, 202, 1216, 17987, 203, 202, 1216, 440, 26550, 15630, 438, 312, 18231, 18604, 1149, 432, 23498, 203, 202, 1216, 440, 51, 263, 532, 399, 31, 26550, 657, 203, 202, 1216, 440, 1614, 351, 532, 42671, 399, 31, 26550, 570, 31, 26550, 657, 203, 202, 1216, 440, 57, 263, 532, 570, 31, 26550, 657, 203, 202, 1216, 440, 7580, 351, 532, 15717, 31, 26550, 657, 203, 202, 1216, 440, 64, 263, 532, 489, 31, 26550, 657, 203, 202, 1216, 17987, 203, 202, 1216, 440, 12662, 25022, 5767, 438, 312, 18231, 18604, 1149, 432, 5296, 14121, 7515, 7144, 203, 325, 2069, 26, 3731, 32, 6118, 27, 863, 225, 38, 44, 203, 202, 8795, 346, 203, 202, 3731, 32, 4775, 26, 35, 27, 203, 17258, 2516, 280, 5237, 32, 6118, 77, 35, 79, 203, 2858, 747, 4849, 280, 5237, 32, 6118, 77, 36, 79, 203, 8947, 983, 280, 5237, 32, 6118, 77, 37, 79, 203, 17258, 2516, 280, 34847, 2516, 32, 2998, 35052, 203, 1270, 44, 203, 202, 2858, 747, 4849, 280, 1992, 26, 5962, 540, 44, 629, 26, 100, 471, 6674, 747, 4849, 32, 2998, 43061, 490, 203, 7343, 10091, 44, 203, 202, 1216, 440, 2930, 44, 25937, 101, 1492, 438, 646, 312, 2080, 21318, 25022, 5767, 802, 78, 96, 20, 904, 6674, 747, 4849, 27, 203, 202, 8795, 346, 203, 202, 3731, 32, 4775, 26, 35, 27, 203, 8947, 2536, 280, 2322, 32, 26366, 26, 8947, 983, 27, 203, 8947, 2536, 280, 2761, 26, 5962, 596, 44, 596, 32, 20643, 5791, 8947, 2113, 22085, 2536, 27, 203, 325, 646, 22085, 2536, 44, 203, 202, 1216, 440, 2930, 44, 3139, 25473, 2276, 2431, 328, 904, 101, 20, 904, 22085, 983, 27, 203, 202, 3731, 32, 4775, 26, 35, 27, 203, 3648, 81, 8947, 2536, 280, 1605, 203, 589, 316, 4849, 81, 2872, 26, 268, 4849, 81, 83, 30, 316, 4849, 81, 84, 711, 203, 202, 979, 14093, 328, 316, 4849, 81, 83, 44, 357, 202, 325, 14093, 328, 316, 4849, 81, 84, 44, 355, 202, 601, 2933, 203, 202, 601, 3177, 203, 589, 34847, 2516, 81, 2872, 26, 2516, 81, 83, 30, 3738, 81, 84, 711, 203, 202, 979, 827, 328, 3738, 81, 83, 44, 357, 202, 681, 280, 827, 32, 7201, 922, 7607, 346, 357, 202, 325, 827, 328, 3738, 81, 84, 44, 355, 202, 601, 2933, 203, 202, 601, 3177, 203, 268, 3149, 2782, 280, 301, 203, 202, 20, 103, 687, 36, 32, 8947, 20, 202, 202, 44, 308, 36, 30, 37, 28020, 203, 202, 20, 103, 687, 38, 32, 8947, 20, 202, 202, 44, 308, 38, 28020, 203, 202, 20, 103, 687, 39, 32, 8947, 20, 202, 202, 44, 308, 39, 30, 40, 30, 41, 30, 42, 30, 43, 30, 35, 34, 28020, 203, 202, 20, 103, 687, 35, 35, 32, 8947, 20, 202, 202, 44, 308, 35, 35, 30, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 9, 7, 8, 7, 2, 2, 5, 5, 2, 2, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 2, 2, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 4, 6, 5, 6, 4, 2, 2, 3, 1, 1, 1, 5, 5, 2, 2, 6, 5, 6, 5, 6, 5, 0, 3, 3, 2, 2, 4, 5, 3, 4, 3, 0, 3, 3, 3, 2, 2, 4, 5, 3, 4, 3, 0, 3, 3, 2, 2, 4, 5, 3, 4, 3, 0, 3, 3, 2, 2, 5, 4, 5, 4, 0, 1, 1, 1, 1, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 9, 10, 9, 6, 9, 9, 8, 9, 8, 8, 1, 2, 2, 2, 2, 2, 6, 6, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 7, 7, 8, 8, 6, 3, 3, 6, 6, 3, 3, 7, 6, 7, 6, 7, 6, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 5, 7, 8, 7, 9, 9, 4, 5, 4, 0, 1, 1, 2, 3, 1, 1, 1, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 5, 2, 2, 6, 5, 6, 5, 6, 5, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 1, 1, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 5, 5, 6, 6, 7, 7, 7, 5, 5, 5, 7, 7, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 3, 4, 4, 3, 3, 3, 7, 6, 6, 10, 11, 10, 9, 8, 4, 4, 5, 5, 6, 6, 7, 7, 5, 5, 5, 7, 7, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 5, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 6, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 5, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 4, 4, 0, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 4, 4, 0, 1, 1, 1, 1, 1, 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, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 8, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 3, 3, 0, 1, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 3, 1, 0, 11, 11, 1, 1, 11, 11, 11, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 13, 13, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 13, 13, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 4, 4, 1, 1, 0, 14, 14, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 14, 14, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 5, 5, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 5, 5, 5, 5, 1, 2, 3, 2, 5, 2, 7, 2, 9, 2, 11, 11, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 7, 7, 7, 7, 1, 1, 2, 3 ]
[ 1070, 1795, 2157, 32, 4882, 32, 2304, 1188, 31971, 3990, 1006, 1486, 30, 3185, 81, 1260, 203, 1070, 1795, 2157, 32, 2304, 1188, 10156, 81, 7632, 81, 965, 30, 10156, 81, 5248, 81, 965, 203, 1070, 1795, 2157, 32, 4338, 32, 2292, 1188, 622, 81, 2292, 81, 8881, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 11025, 81, 2304, 1188, 7703, 2780, 7233, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 13392, 2214, 203, 1070, 4395, 1188, 7841, 203, 1070, 32400, 81, 3494, 32, 16520, 32, 25102, 1188, 22509, 953, 30, 13392, 16464, 203, 465, 343, 2632, 203, 1070, 9525, 32, 9715, 1188, 13392, 37888, 203, 20017, 81, 13381, 81, 2413, 280, 3056, 5248, 7404, 261, 203, 589, 1930, 81, 965, 81, 979, 81, 1356, 26, 678, 711, 284, 415, 6937, 26, 678, 30, 13392, 16464, 711, 291, 1202, 280, 15390, 26, 678, 27, 284, 442, 15525, 68, 4518, 81, 13381, 81, 2413, 474, 1202, 203, 50, 583, 102, 32, 583, 102, 203, 823, 7137, 1006, 31820, 26, 2459, 2780, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 1256, 81, 2895, 280, 2599, 26, 24224, 31820, 30, 630, 547, 23741, 346, 291, 630, 32, 1580, 280, 31971, 3990, 1006, 1486, 346, 291, 630, 32, 1580, 32, 3615, 26, 699, 47, 784, 32, 496, 32, 699, 30, 3882, 47, 496, 81, 2895, 27, 284, 477, 2675, 440, 1286, 2157, 32, 4338, 32, 5248, 32, 41424, 81, 17557, 392, 3177, 27, 284, 665, 894, 81, 1793, 81, 20404, 81, 7073, 26, 784, 711, 291, 1789, 280, 630, 32, 1580, 32, 371, 81, 1260, 26, 20017, 81, 13381, 81, 2413, 27, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 38, 34, 38, 27, 284, 665, 894, 81, 668, 81, 20404, 26, 784, 711, 291, 11323, 280, 428, 5876, 2214, 32, 1297, 346, 436, 617, 328, 2155, 26, 37, 2177, 291, 5034, 81, 2665, 280, 5436, 43270, 1356, 32, 2645, 32, 5248, 81, 678, 30, 5034, 27, 436, 5034, 328, 11323, 1130, 291, 1789, 280, 630, 32, 1580, 32, 371, 81, 1260, 26, 20017, 81, 13381, 81, 2413, 27, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 36, 34, 34, 27, 291, 5034, 81, 668, 280, 3185, 81, 1260, 26, 1986, 27, 291, 630, 32, 5299, 26, 1657, 26, 1356, 81, 668, 471, 2069, 26, 20404, 490, 291, 436, 3414, 328, 5034, 81, 668, 44, 324, 630, 32, 33966, 440, 5248, 81, 678, 392, 3414, 27, 324, 630, 32, 33966, 440, 2751, 81, 426, 392, 3414, 27, 324, 1202, 280, 22509, 953, 32, 1070, 81, 800, 26, 3038, 1365, 5248, 81, 678, 6890, 324, 630, 32, 33966, 26, 678, 30, 5034, 81, 2665, 27, 324, 630, 32, 5299, 26, 3038, 1365, 2751, 81, 426, 3439, 5034, 81, 2665, 77, 678, 997, 2751, 81, 426, 27, 324, 3555, 5034, 81, 2665, 77, 678, 79, 10065, 477, 583, 102, 32, 605, 440, 2560, 392, 313, 524, 657, 284, 665, 894, 81, 3371, 81, 525, 81, 13430, 26, 784, 30, 18545, 711, 291, 1789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 6, 5, 3, 3, 6, 6, 8, 9, 8, 2, 2, 3, 5, 5, 5, 5, 5, 5, 4, 4, 0, 2, 4, 4, 3, 4, 4, 1, 2, 2, 3, 3, 3, 4, 4, 4, 3, 2, 2, 4, 5, 6, 5, 4, 4, 8, 8, 7, 7, 11, 12, 12, 11, 11, 11, 10, 9, 5, 5, 8, 9, 7, 7, 9, 9, 9, 9, 5, 5, 9, 10, 8, 9, 8, 10, 9, 12, 11, 12, 10, 11, 8, 8, 9, 10, 10, 10, 8, 3, 3, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 8, 8, 11, 12, 10, 11, 11, 11, 10, 11, 11, 11, 11, 11, 10, 6, 6, 9, 10, 9, 11, 10, 11, 11, 11, 9, 9, 10, 10, 10, 9, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 11, 11, 10, 11, 10, 8, 9, 9, 9, 11, 12, 11, 5, 5, 8, 8, 7, 7, 9, 14, 13, 14, 12, 13, 13, 13, 11, 11, 11, 10, 11, 11, 11, 10, 5, 5, 7, 7, 10, 11, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 5, 5, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 9, 9, 8, 5, 5, 8, 8, 7, 7, 9, 9, 9, 10, 9, 5, 5, 8, 9, 8, 10, 10, 11, 11, 11, 10, 8, 10, 11, 10, 5, 5, 6, 6, 6, 7, 7, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 10, 10, 7, 7, 10, 11, 10, 12, 12, 12, 12, 10, 10, 7, 7, 9, 9, 12, 11, 12, 12, 12, 11, 13, 12, 14, 14, 14, 14, 7, 7, 10, 11, 10, 11, 10, 10, 11, 11, 10, 7, 7, 10, 11, 10, 12, 11, 13, 13, 13, 13, 10, 13, 13, 12, 13, 12, 12, 12, 12, 10, 7, 7, 8, 10, 10, 9, 10, 9, 3, 3, 8, 8, 7, 8, 7, 9, 9, 7, 9, 9, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 5 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 2, 1, 4, 1, 6, 4, 4, 0, 0, 5, 5, 5, 5, 0, 6, 6, 0, 0, 1, 2, 1, 4, 6, 6, 0, 6, 6, 0, 0, 7, 7, 0, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 10, 10, 1, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 11, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 6, 6, 3, 3, 6, 6, 6, 0, 2, 1, 1, 1, 1, 2, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 2, 1, 1, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 5, 5, 5, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1 ]
[ 465, 13625, 203, 465, 35094, 203, 465, 17787, 203, 465, 4749, 2468, 203, 465, 31074, 203, 465, 5741, 203, 465, 2322, 203, 465, 3995, 203, 465, 316, 203, 465, 22977, 203, 465, 802, 203, 465, 16539, 203, 465, 5237, 203, 465, 1133, 203, 465, 15798, 203, 465, 22045, 32, 2208, 203, 465, 22045, 32, 1357, 203, 465, 18105, 612, 203, 17945, 81, 29396, 280, 316, 32, 6993, 26, 100, 28249, 77, 83, 31, 108, 34, 31, 43, 1114, 23, 10873, 6155, 50, 77, 83, 31, 108, 34, 31, 43, 22177, 6155, 8169, 77, 83, 31, 108, 8274, 36, 30, 40, 10598, 370, 5736, 47, 268, 32, 1434, 2576, 6755, 3204, 27, 203, 823, 9957, 7167, 26, 2665, 711, 203, 202, 505, 32110, 505, 280, 5436, 3667, 33644, 505, 203, 202, 505, 45865, 505, 280, 5436, 3667, 470, 1094, 505, 203, 823, 10349, 1142, 5538, 4815, 26, 1473, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 1477, 1657, 30, 943, 1657, 47, 2521, 30, 8485, 47, 2521, 711, 357, 202, 784, 32, 1366, 1657, 280, 1477, 1657, 357, 202, 325, 943, 1657, 438, 1665, 44, 355, 202, 784, 32, 416, 1657, 280, 1477, 1657, 357, 202, 1824, 44, 355, 202, 784, 32, 416, 1657, 280, 943, 1657, 357, 202, 325, 8485, 438, 1665, 44, 355, 202, 15245, 280, 1149, 26, 1110, 26, 9918, 30, 2155, 26, 34, 30, 225, 36, 39, 40, 2610, 357, 202, 12106, 6937, 26, 15245, 30, 596, 711, 355, 202, 15245, 280, 1149, 26, 15245, 27, 357, 202, 12106, 6937, 26, 15245, 30, 3519, 711, 355, 202, 15245, 280, 1149, 26, 1110, 26, 9918, 30, 8485, 490, 357, 202, 15245, 32, 3323, 346, 357, 202, 784, 32, 15245, 280, 8825, 26, 15245, 27, 357, 202, 784, 32, 1322, 280, 630, 32, 1366, 1657, 357, 202, 784, 1114, 2445, 280, 31074, 32, 2445, 26, 784, 32, 15245, 30, 13760, 47, 784, 32, 1322, 27, 357, 202, 784, 1114, 1978, 280, 630, 3667, 1978, 505, 203, 202, 589, 1156, 1731, 3207, 784, 711, 357, 202, 601, 630, 203, 202, 589, 1156, 1978, 3207, 784, 711, 357, 202, 601, 630, 32, 1978, 346, 203, 202, 589, 2354, 26, 784, 711, 357, 202, 1270, 44, 355, 202, 853, 280, 2354, 26, 784, 1114, 2445, 27, 357, 202, 7343, 12305, 21863, 44, 355, 202, 325, 630, 32, 1322, 610, 630, 32, 416, 1657, 44, 603, 202, 13225, 12305, 21863, 355, 202, 784, 32, 1322, 1454, 225, 35, 355, 202, 784, 1114, 2445, 280, 31074, 32, 2445, 26, 784, 32, 15245, 30, 13760, 47, 784, 32, 1322, 27, 355, 202, 853, 280, 2354, 26, 784, 1114, 2445, 27, 357, 202, 601, 35617, 2524, 26, 853, 27, 203, 81, 1765, 2710, 280, 13625, 32, 426, 41766, 14728, 1765, 2710, 370, 2726, 1132, 370, 330, 869, 1132, 370, 330, 7255, 370, 330, 10514, 2847, 203, 823, 10421, 26, 1473, 711, 203, 202, 589, 1156, 1664, 3207, 784, 30, 5868, 711, 357, 202, 325, 6937, 26, 5457, 30, 596, 711, 355, 202, 5457, 280, 3185, 81, 1003, 662, 26, 5457, 27, 357, 202, 784, 32, 2613, 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, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 7, 6, 7, 7, 7, 7, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 6, 6, 2, 2, 5, 5, 5, 4, 4, 5, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 8, 7, 8, 8, 6, 6, 7, 4, 4, 5, 5, 7, 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, 6, 6, 5, 5, 5, 9, 8, 8, 10, 12, 12, 13, 12, 12, 14, 15, 14, 14, 15, 15, 15, 14, 5, 5, 6, 6, 8, 9, 8, 8, 8, 6, 6, 10, 9, 9, 11, 12, 11, 5, 5, 6, 6, 8, 9, 8, 8, 8, 6, 6, 10, 9, 9, 11, 13, 13, 14, 13, 13, 13, 4, 4, 8, 7, 8, 7, 4, 4, 8, 7, 8, 6, 6, 8, 9, 8, 4, 4, 8, 7, 8, 6, 6, 7, 8, 8, 4, 4, 8, 7, 8, 6, 6, 8, 9, 8, 10, 9, 10, 8, 8, 9, 11, 10, 11, 8, 4, 4, 8, 7, 8, 6, 6, 7, 8, 8, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 7, 8, 7, 2, 2, 3, 3, 4, 5, 4, 3, 3, 5, 5, 5, 5, 9, 8, 8, 10, 12, 11, 12, 10, 5, 5, 6, 6, 7, 6, 6, 6, 8, 8, 10, 11, 9, 9, 10, 11, 11, 8, 8, 8, 10, 10, 11, 7, 7, 11, 10, 11, 9, 9, 10, 7, 7, 11, 10, 11, 9, 9, 11, 12, 11, 13, 12, 13, 11, 11, 12, 14, 13, 14, 11, 7, 7, 10, 9, 9, 11, 13, 12, 13, 11, 4, 4, 5, 5, 8, 7, 8, 7, 0, 3, 3, 3, 2, 2, 4, 5, 5, 4, 6, 6, 6, 4, 7, 7, 5, 7, 7, 7, 5, 7, 7, 5, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 7, 8, 7, 7, 7, 5, 5, 9, 8, 8, 10, 10, 10, 10, 11, 10, 4, 4, 8, 7, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 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, 0, 15, 15, 1, 2, 0, 16, 16, 1, 2, 0, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 2, 2, 2, 1, 0, 19, 19, 1, 2, 1, 2, 19, 19, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 20, 20, 1, 1, 1, 2, 1, 2, 20, 20, 0, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 5, 2, 2, 2, 7, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 4, 4, 4, 4, 0, 0, 2, 2, 0, 0, 2, 4, 4, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 2, 5, 5, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 0, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 4, 4, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 3, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 3, 3, 1, 3, 3, 3, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 2, 0, 0, 2, 3, 3, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 0, 2, 2, 1, 3, 3, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 3, 1, 2, 3, 1, 2, 0, 22, 22, 2, 1, 2, 22, 22, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 30, 7976, 81, 465, 203, 1070, 7744, 1188, 17058, 30, 2910, 30, 9812, 30, 10712, 203, 1070, 6436, 32, 4266, 1188, 308, 862, 81, 9762, 2425, 30, 1201, 3739, 225, 6029, 1201, 81, 35502, 30, 6029, 1201, 81, 2228, 27, 203, 1070, 6436, 1188, 296, 1338, 203, 1070, 18414, 32, 22926, 1188, 22483, 619, 10639, 203, 1070, 18414, 32, 22926, 1188, 22483, 203, 1070, 18414, 32, 22926, 1114, 29575, 2304, 1188, 4442, 30, 296, 8352, 203, 823, 2108, 7099, 26, 1473, 711, 284, 665, 1420, 81, 1553, 26, 784, 30, 1411, 30, 636, 711, 291, 312, 280, 638, 39, 291, 323, 280, 17058, 26, 37, 27, 291, 816, 14598, 280, 225, 38, 28, 88, 1338, 26, 1808, 547, 17685, 291, 12190, 362, 280, 225, 38, 28, 88, 1338, 26, 1808, 547, 17685, 291, 436, 667, 30, 18146, 328, 8529, 26, 8239, 30, 296, 8352, 711, 324, 5934, 30, 540, 280, 1411, 26, 1126, 30, 312, 30, 323, 30, 816, 14598, 47, 4789, 362, 30, 12190, 362, 47, 2051, 362, 30, 6035, 3536, 81, 2024, 47, 1815, 27, 324, 1201, 5908, 100, 32, 32620, 3886, 27, 324, 1201, 81, 35502, 26, 6158, 30, 225, 35, 32, 34, 30, 35012, 47, 4789, 362, 30, 12190, 362, 47, 2051, 362, 30, 400, 1137, 81, 2076, 1057, 1959, 904, 101, 30, 667, 904, 101, 25, 904, 308, 426, 30, 18146, 490, 284, 665, 894, 81, 84, 46975, 26, 784, 711, 291, 630, 32, 1945, 81, 1553, 26, 1152, 32, 84, 46975, 30, 330, 84, 46975, 683, 284, 665, 894, 81, 1923, 493, 26, 784, 711, 291, 630, 32, 1945, 81, 1553, 26, 1152, 32, 1923, 493, 30, 330, 1923, 493, 683, 284, 665, 894, 81, 4012, 566, 99, 26, 784, 711, 291, 630, 32, 1945, 81, 1553, 26, 1152, 32, 4012, 566, 99, 30, 330, 4012, 566, 99, 683, 284, 665, 894, 81, 84, 1575, 349, 26, 784, 711, 291, 630, 32, 1945, 81, 1553, 26, 1152, 32, 84, 1575, 349, 30, 330, 84, 1575, 349, 683, 284, 665, 894, 81, 890, 937, 26, 784, 711, 291, 296, 35, 280, 9254, 816, 44, 816, 326, 36, 429, 225, 36, 28, 106, 429, 225, 35, 291, 296, 35, 81, 35, 280, 9254, 816, 44, 225, 36, 28, 106, 429, 225, 36, 291, 296, 35, 81, 36, 280, 9254, 816, 44, 225, 36, 32, 34, 474, 225, 34, 28, 106, 291, 296, 36, 280, 9254, 816, 44, 2910, 26, 106, 27, 429, 10712, 26, 106, 27, 291, 296, 36, 81, 35, 280, 9254, 816, 44, 2910, 26, 106, 27, 474, 9812, 26, 106, 27, 291, 296, 36, 81, 36, 280, 9254, 816, 44, 2910, 26, 106, 27, 474, 10712, 26, 106, 27, 291, 436, 296, 30, 296, 81, 35, 30, 296, 81, 36, 328, 10440, 88, 35, 30, 296, 35, 81, 35, 30, 296, 35, 81, 36, 471, 308, 88, 36, 30, 296, 36, 81, 35, 30, 296, 36, 81, 36, 2177, 44, 324, 816, 280, 22483, 32, 890, 937, 26, 88, 30, 225, 37, 30, 26907, 47 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 6, 6, 8, 7, 10, 10, 10, 11, 10, 9, 4, 4, 7, 6, 6, 8, 7, 10, 10, 10, 11, 10, 9, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 7, 8, 7, 5, 5, 9, 9, 8, 8, 10, 11, 10, 10, 10, 10, 10, 10, 12, 11, 12, 12, 10, 10, 12, 11, 12, 12, 10, 10, 10, 12, 12, 11, 12, 10, 6, 6, 9, 11, 10, 11, 11, 9, 6, 6, 9, 9, 9, 10, 9, 9, 10, 10, 10, 9, 9, 10, 11, 11, 9, 9, 11, 10, 11, 11, 9, 9, 9, 11, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 12, 12, 12, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 9, 7, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 9, 7, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 7, 7, 7, 10, 11, 9, 9, 11, 10, 11, 8, 8, 9, 4, 4, 7, 7, 7, 6, 6, 7, 7, 7, 10, 9, 10, 8, 8, 9, 4, 4, 7, 7, 7, 6, 6, 7, 7, 7, 9, 9, 9, 8, 8, 10, 9, 10, 4, 4, 7, 6, 6, 7, 7, 7, 10, 11, 10, 8, 8, 10, 11, 10, 4, 4, 7, 7, 7, 6, 6, 7, 7, 7, 10, 11, 10, 8, 8, 10, 11, 10, 4, 4, 7, 7, 7, 6, 6, 7, 7, 7, 10, 11, 10, 8, 8, 10, 11, 10, 4, 4, 5, 6, 6, 7, 7, 6, 6, 7, 7, 5, 5, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 6, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 10, 10, 11, 10, 10, 11 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 3, 3, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 4, 6, 6, 6, 6, 0, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 4, 4, 4, 1, 1, 4, 4, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 2, 2, 1, 1, 0, 9, 2, 2, 1, 1, 1, 0, 0, 11, 2, 1, 5, 5, 0, 0, 1, 2, 2, 1, 5, 5, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 2, 2, 1, 1, 0, 7, 2, 2, 1, 1, 1, 0, 0, 9, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 3, 3, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 6, 1, 1, 2, 2, 1, 1, 4, 4, 6, 6, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 3, 6, 6, 6, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5 ]
[ 465, 2322, 203, 1070, 600, 7319, 32, 12329, 1188, 1015, 9824, 30, 1420, 9824, 30, 9804, 203, 1070, 600, 7319, 32, 2304, 1188, 2361, 203, 1070, 312, 12561, 32, 669, 12258, 1188, 2222, 13300, 203, 1070, 312, 12561, 32, 5728, 1188, 11419, 203, 1070, 312, 12561, 32, 12561, 1188, 319, 203, 1070, 638, 1163, 1188, 2196, 81, 2957, 203, 1070, 638, 40403, 1188, 319, 203, 1566, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 16662, 81, 983, 30, 313, 5353, 657, 203, 1566, 81, 983, 81, 30480, 280, 2322, 32, 983, 32, 2524, 26, 1566, 81, 983, 30, 313, 30480, 32, 1645, 657, 203, 1566, 81, 983, 81, 311, 30480, 280, 2322, 32, 983, 32, 2524, 26, 1566, 81, 983, 30, 313, 311, 30480, 32, 1645, 657, 203, 1566, 81, 30480, 280, 1910, 2205, 32, 1070, 3325, 974, 26, 1566, 81, 983, 81, 30480, 547, 3108, 346, 203, 1566, 81, 311, 30480, 280, 1910, 2205, 32, 1070, 3325, 974, 26, 1566, 81, 983, 81, 311, 30480, 547, 3108, 346, 203, 8079, 678, 81, 4645, 81, 1495, 280, 2196, 81, 2957, 1365, 8079, 678, 3582, 1446, 203, 8079, 678, 81, 4645, 81, 464, 280, 2196, 81, 2957, 1365, 8079, 678, 1934, 1446, 203, 505, 2645, 505, 280, 2322, 32, 983, 32, 35490, 26, 284, 2322, 32, 983, 32, 2524, 26, 500, 32, 33115, 1026, 2322, 32, 983, 32, 7781, 4064, 761, 505, 2610, 203, 1793, 2156, 26, 500, 32, 983, 32, 2524, 4064, 2645, 7642, 313, 754, 36, 34, 32, 754, 2113, 313, 100, 657, 619, 296, 44, 616, 4060, 81, 687, 81, 36, 34, 280, 296, 32, 850, 346, 904, 308, 8079, 678, 81, 4645, 81, 1495, 30, 4269, 81, 30480, 30, 14309, 678, 81, 4645, 81, 1495, 30, 4269, 81, 311, 30480, 27, 203, 1793, 2156, 26, 500, 32, 983, 32, 2524, 4064, 2645, 7642, 313, 754, 36, 35, 32, 754, 2113, 313, 100, 657, 619, 296, 44, 616, 4060, 81, 687, 81, 36, 35, 280, 296, 32, 850, 346, 203, 589, 2454, 5217, 36, 34, 26, 784, 711, 284, 415, 646, 630, 32, 5766, 44, 291, 442, 284, 415, 630, 32, 6686, 279, 8100, 44, 291, 1600, 280, 630, 32, 1700, 1176, 284, 813, 44, 291, 1600, 280, 429, 35, 284, 415, 646, 630, 1114, 5893, 44, 291, 442, 284, 706, 280, 1605, 284, 436, 47141, 30, 909, 328, 630, 32, 5766, 32, 3028, 2262, 291, 706, 32, 1689, 1162, 25947, 30, 630, 32, 18538, 32, 748, 32, 3435, 32, 11731, 9604, 26, 695, 2610, 1568, 415, 6937, 26, 784, 32, 2544, 1669, 30, 2222, 13300, 711, 225, 588, 351, 296, 39671, 280, 630, 32, 5766, 32, 1160, 48742, 1306, 3210, 1446, 291, 31847, 280, 428, 25947, 1365, 24643, 1446, 436, 47141, 328, 296, 39671, 79, 291, 630, 32, 1840, 32, 6569, 26, 754, 81, 687, 81, 36, 34, 27, 291, 630, 32, 1840, 32, 6569, 440, 470, 42169, 4140, 7846, 101, 30, 904, 101, 30, 904, 86, 28605, 904, 308, 324, 2361, 32, 16958, 26, 605, 471, 2361, 32, 16958, 26, 24643, 471, 1600, 490, 284, 813, 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, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 7, 6, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 5, 4, 0, 3, 3, 3, 3, 2, 2, 7, 6, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 6, 5, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 4, 4, 7, 8, 6, 7, 6, 9, 8, 9, 8, 6, 9, 10, 8, 9, 8, 9, 9, 8, 0, 1, 1, 6, 10, 9, 10, 8, 9, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 6, 8, 8, 4, 4, 1, 1, 1, 5, 5, 5, 5, 5, 4, 4, 7, 8, 7, 5, 5, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 6, 0, 1, 1, 6, 10, 9, 10, 8, 9, 8, 9, 9, 8, 10, 10, 10, 10, 10, 10, 6, 8, 8, 4, 4, 1, 1, 1, 5, 5, 5, 5, 5, 4, 4, 6, 7, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 6, 3, 3, 3, 2, 2, 3, 4, 5, 5, 5, 3, 3, 3, 6, 6, 7, 8, 8, 3, 3, 4, 4, 4, 7, 7, 9, 2, 2, 3, 4, 5, 6, 3, 3, 3, 2, 2, 4, 4, 2, 2, 3, 4, 4, 3, 3, 6, 7, 5, 6, 5, 3, 3, 7, 8, 7, 9, 8, 8, 13, 14, 12, 13, 11, 12, 10, 11, 11, 10, 11, 10, 2, 2, 3, 5, 7, 6, 7, 7, 5, 5, 6, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 9, 8, 10, 10, 7, 8, 8, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 11, 12, 11, 12, 11, 9, 11, 12, 11, 12, 11, 9, 9, 3, 3, 4 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 16, 16, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 5, 2, 2, 7, 7, 7, 2, 0, 17, 17, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 17, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 18, 18, 1, 1, 1, 2, 1, 2, 18, 18, 0, 1, 1, 2, 0, 0, 0, 4, 4, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 1, 4, 4, 2, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 4, 4, 4, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 5, 1, 0, 1, 2, 2, 1, 1, 3, 1, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 5, 5, 5 ]
[ 505, 1427, 1643, 505, 280, 313, 268, 25120, 878, 931, 20, 203, 589, 11303, 26, 784, 30, 1692, 30, 3992, 20415, 711, 284, 645, 2322, 32, 983, 1188, 7140, 30, 24797, 284, 645, 1933, 1188, 28667, 284, 645, 4377, 1188, 622, 81, 7883, 284, 645, 2417, 1188, 1244, 81, 4850, 284, 1596, 44, 291, 10306, 280, 622, 81, 7883, 26, 784, 547, 5092, 26, 1567, 32, 5321, 27, 284, 2940, 44, 291, 1459, 440, 9752, 646, 2164, 11659, 4209, 7144, 291, 1459, 26, 1567, 32, 5321, 27, 291, 442, 284, 415, 1692, 32, 1490, 34486, 863, 225, 34, 44, 291, 19757, 280, 28667, 26, 1536, 81, 4850, 27, 291, 19757, 710, 96, 785, 280, 1692, 32, 1490, 34486, 291, 19757, 1365, 593, 96, 1446, 280, 1692, 32, 593, 96, 291, 10306, 710, 4850, 785, 280, 19757, 284, 436, 1550, 30, 1519, 328, 3992, 20415, 44, 291, 436, 3992, 328, 1550, 32, 2810, 2262, 324, 415, 3992, 32, 297, 81, 30412, 44, 400, 4036, 324, 636, 280, 596, 26, 3245, 32, 426, 27, 324, 415, 636, 77, 34, 79, 610, 3056, 950, 400, 636, 280, 636, 77, 35, 10056, 324, 415, 19326, 26, 3245, 32, 18651, 30, 330, 10067, 683, 461, 646, 1692, 32, 5538, 44, 400, 298, 280, 7140, 26, 7781, 26, 983, 471, 636, 27, 400, 6571, 280, 3992, 32, 18651, 32, 10067, 26, 98, 27, 400, 415, 6571, 32, 3127, 44, 528, 1459, 440, 3782, 301, 34, 111, 9435, 7504, 32, 2030, 1098, 646, 526, 1875, 83, 27979, 35145, 1643, 26, 426, 490, 528, 4036, 324, 1459, 440, 17818, 544, 301, 34, 111, 328, 301, 35, 4009, 2296, 1643, 26, 426, 30, 1519, 490, 324, 10306, 1365, 37904, 1446, 280, 7140, 26, 7781, 26, 983, 471, 636, 27, 324, 415, 1692, 32, 5538, 44, 400, 10306, 710, 26495, 785, 280, 2933, 324, 3992, 32, 7924, 14605, 5321, 27, 203, 589, 918, 21768, 26, 784, 30, 1692, 30, 706, 711, 284, 645, 4377, 1188, 3992, 6175, 81, 761, 81, 980, 21768, 284, 415, 706, 6448, 35, 79, 610, 7915, 5321, 563, 291, 442, 428, 103, 436, 1044, 328, 630, 32, 496, 81, 2425, 415, 1044, 77, 34, 79, 863, 27491, 461, 6937, 26, 784, 32, 496, 81, 2425, 77, 103, 614, 5436, 2177, 284, 4348, 706, 6448, 35, 79, 610, 7915, 1490, 34486, 563, 291, 442, 2107, 785, 284, 4348, 706, 6448, 35, 79, 610, 7915, 593, 96, 563, 291, 442, 2107, 785, 284, 1056, 280, 2107, 287, 5538, 370, 11363, 5321, 370, 11363, 4756, 370, 11363, 1490, 34486, 370, 11363, 593, 96, 785, 284, 1056, 32, 8233, 26, 3245, 6175, 81, 761, 81, 980, 21768, 2009, 1567, 32, 7010, 5259, 284, 1056, 280, 1149, 26, 470, 26, 1267, 27, 429, 739, 26, 605, 490, 284, 442, 1056, 203, 589, 4118, 26, 784, 30, 1361, 25882, 30, 3089, 10540, 711, 284, 645, 2417, 1188, 1244, 81, 4850, 284, 1056, 280, 1361, 25882, 32, 669, 81, 3922, 463, 17107, 370, 9111, 3048, 347, 7403, 42255, 29287, 1426, 5429, 3128, 5327, 96, 20, 9111, 313, 3863, 3992, 1098, 36013, 1591, 2685, 322, 1604 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 4, 4, 4, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 5, 5, 2, 2, 3, 3, 3, 5, 5, 2, 2, 3, 3, 3, 6, 6, 10, 10, 10, 11, 10, 9, 8, 10, 9, 10, 8, 3, 3, 4, 4, 4, 8, 10, 10, 10, 10, 10, 10, 5, 5, 8, 10, 9, 10, 8, 5, 5, 2, 2, 3, 5, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 9, 9, 6, 6, 7, 8, 8, 4, 4, 7, 9, 9, 9, 6, 6, 7, 8, 8, 4, 4, 7, 9, 9, 6, 6, 2, 2, 3, 4, 4, 3, 3, 4, 3, 3, 3, 5, 5, 5, 7, 8, 7, 5, 5, 7, 8, 9, 9, 9, 7, 7, 7, 6, 6, 8, 8, 10, 12, 11, 12, 10, 6, 6, 7, 9, 10, 9, 8, 8, 10, 7, 7, 10, 10, 11, 13, 12, 6, 6, 7, 10, 12, 11, 12, 10, 10, 12, 12, 8, 8, 9, 10, 11, 7, 7, 7, 10, 10, 12, 14, 14, 15, 14, 12, 12, 8, 8, 10, 10, 13, 14, 12, 13, 12, 13, 12, 8, 8, 9, 10, 11, 9, 9, 9, 13, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 15, 16, 15, 10, 10, 6, 6, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 12, 11, 11, 11, 6, 6, 9, 11, 11, 8, 8, 10, 12, 12, 13, 12, 10, 10, 6, 6, 7, 8, 9, 7, 7, 7, 11, 13, 13, 10, 10, 6, 6, 9, 10, 9, 11, 9, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 7, 5, 4, 4, 6, 6, 3, 3, 5, 7, 6, 7, 7, 7, 8, 9, 9, 9, 6, 7, 10, 11, 10, 9, 9, 8, 8, 10, 13, 12, 13, 13, 13, 11, 12, 11, 10, 10, 3, 3, 4, 6, 8, 6, 5, 5, 7, 7, 7, 4, 4, 6, 9, 3, 3, 4, 6, 8, 6, 5, 5, 7, 7, 7, 4, 4, 6, 9, 2, 2, 4, 4, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 10, 9, 10, 8, 2, 2, 4, 4, 6, 9, 9, 10, 9, 7, 7, 9, 10, 9, 2, 2, 3, 0, 1, 1, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 5, 2, 2, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 6, 6, 7, 10, 10, 10, 10, 10, 10, 10, 11, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 4, 4, 1, 1, 1, 4, 4, 2, 2, 2, 0, 0, 4, 4, 3, 3, 3, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 4, 4, 5, 0, 2, 2, 1, 1, 2, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 1, 2, 0, 0, 2, 2, 2, 3, 3, 0, 1, 1, 2, 0, 0, 2, 2, 2, 3, 3, 0, 1, 2, 0, 0, 4, 4, 6, 1, 1, 6, 6, 3, 6, 6, 6, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 5, 5, 0, 0, 1, 0, 1, 2, 1, 5, 5, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 5, 5, 3, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 3, 3, 3, 0, 0, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 5, 5, 6, 1, 2, 6, 6, 6, 0, 1, 2, 0, 0, 5, 5, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 3, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 4, 0, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 5, 0, 1, 0, 1, 1, 1, 1, 2, 5, 5, 0, 1, 4, 4, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 0, 3, 3, 2, 1, 2, 2, 3, 2, 2, 5, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 10020, 203, 465, 316, 203, 465, 5237, 203, 465, 5624, 203, 465, 11685, 203, 1070, 638, 6844, 955, 1188, 9710, 30, 1417, 30, 34593, 203, 1270, 44, 284, 1188, 26015, 203, 7343, 29986, 44, 284, 26015, 280, 1665, 203, 1296, 81, 5177, 5177, 280, 5624, 32, 2958, 81, 19373, 346, 610, 330, 4997, 4997, 25, 203, 325, 5237, 32, 2263, 1174, 610, 330, 31935, 950, 284, 617, 96, 713, 280, 4145, 25, 203, 1824, 44, 284, 617, 96, 713, 280, 330, 6457, 203, 589, 617, 12620, 2004, 101, 81, 668, 26, 339, 3557, 30, 3014, 711, 284, 1169, 4151, 280, 1605, 284, 436, 18146, 30, 2830, 328, 312, 2665, 32, 3028, 2262, 291, 310, 280, 2069, 26, 2067, 27, 291, 415, 646, 6937, 26, 2067, 30, 8825, 27, 556, 310, 646, 328, 308, 36, 30, 225, 37, 711, 324, 3636, 10091, 440, 3038, 646, 312, 225, 36, 31, 556, 225, 37, 31, 8825, 657, 291, 415, 310, 848, 225, 36, 461, 2830, 77, 36, 79, 610, 18146, 44, 324, 4036, 291, 1929, 280, 629, 26, 2067, 77, 35, 1130, 291, 415, 1929, 333, 225, 34, 44, 324, 3636, 10091, 440, 5790, 3401, 7144, 291, 2179, 280, 9710, 26, 2067, 77, 34, 614, 3014, 47, 2934, 27, 291, 415, 310, 848, 225, 36, 44, 324, 1780, 280, 2830, 77, 36, 79, 291, 813, 44, 324, 1780, 280, 1665, 291, 1169, 4151, 32, 1689, 1162, 10555, 30, 2179, 30, 1929, 30, 1780, 490, 284, 1169, 4151, 32, 3323, 26, 678, 47, 5962, 816, 44, 816, 77, 36, 1130, 284, 4467, 280, 428, 106, 77, 34, 79, 436, 816, 328, 1169, 4151, 79, 284, 15477, 280, 428, 106, 77, 35, 79, 436, 816, 328, 1169, 4151, 79, 284, 21025, 280, 428, 106, 77, 36, 79, 436, 816, 328, 1169, 4151, 79, 284, 27840, 280, 428, 106, 77, 37, 79, 436, 816, 328, 1169, 4151, 79, 284, 442, 4467, 30, 15477, 30, 21025, 30, 27840, 203, 589, 617, 539, 4151, 26, 339, 3557, 30, 3014, 711, 284, 1596, 44, 291, 4467, 280, 312, 2665, 6448, 35, 79, 284, 2940, 25085, 44, 291, 4467, 280, 1665, 284, 415, 4467, 438, 1665, 44, 291, 4467, 30, 15477, 30, 21025, 30, 27840, 280, 617, 12620, 2004, 101, 81, 668, 26, 339, 3557, 30, 3014, 27, 284, 813, 44, 291, 15477, 280, 1605, 291, 21025, 280, 1605, 291, 27840, 280, 1605, 291, 436, 636, 328, 4467, 44, 324, 736, 280, 312, 2665, 77, 426, 79, 324, 15477, 32, 1689, 26, 575, 77, 34, 1130, 324, 21025, 32, 1689, 26, 575, 77, 35, 1130, 324, 415, 2069, 26, 575, 27, 848, 225, 36, 44, 400, 27840, 32, 1689, 26, 575, 77, 36, 1130, 324, 813, 44, 400, 27840, 32, 1689, 26, 2521, 27, 284, 442, 9710, 15520, 4243, 563, 4467, 30, 1750, 313, 17213, 563, 15477, 30, 1750, 313, 21463, 563, 21025, 30, 1750, 313, 23179, 563, 27840, 835, 3014, 27, 203, 589, 617, 955, 81, 24693, 26, 9664, 711, 284, 3829, 280, 9866, 32, 4151, 284, 415, 3829, 438, 1665, 44, 291, 1361, 12010, 280, 9866, 32, 1113, 12010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 5, 5, 0, 3, 3, 3, 3, 2, 2, 5, 6, 6, 6, 5, 3, 3, 5, 5, 5, 0, 1, 1, 3, 4, 4, 2, 2, 4, 4, 1, 1, 5, 5, 4, 4, 6, 1, 2, 2, 2, 2, 6, 6, 5, 5, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 6, 5, 6, 5, 3, 3, 6, 6, 8, 9, 8, 4, 4, 5, 7, 9, 10, 9, 9, 9, 6, 6, 7, 7, 7, 9, 8, 8, 9, 8, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 7, 7, 8, 6, 6, 8, 9, 8, 7, 7, 5, 5, 5, 4, 4, 6, 6, 8, 10, 9, 10, 9, 4, 4, 5, 6, 6, 7, 5, 5, 5, 7, 9, 11, 11, 11, 4, 4, 6, 6, 8, 10, 9, 10, 9, 8, 9, 10, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 8, 9, 10, 9, 5, 5, 6, 6, 6, 9, 9, 4, 4, 8, 7, 8, 7, 9, 8, 8, 8, 8, 8, 8, 8, 2, 2, 6, 5, 6, 5, 7, 6, 7, 7, 7, 7, 8, 9, 8, 2, 2, 4, 4, 7, 6, 7, 6, 5, 6, 6, 6, 7, 5, 2, 2, 4, 4, 7, 6, 7, 6, 5, 6, 6, 6, 7, 5, 2, 2, 4, 4, 7, 6, 7, 6, 5, 6, 6, 6, 7, 5, 2, 2, 4, 4, 7, 6, 7, 6, 5, 6, 6, 6, 7, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 3, 3, 6, 6, 8, 7, 9, 7, 3, 3, 4, 4, 4, 4, 7, 7, 2, 2, 3, 4, 4, 3, 3, 3, 7, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 3, 3, 4, 4, 4, 7, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 9, 9, 11, 10, 11, 10, 7, 7, 10, 11, 10, 12, 11, 12, 11, 7, 7, 10, 11, 10, 12, 11, 12, 11, 7, 7, 8, 11, 12, 11, 9, 9, 10, 8, 8, 8, 12, 13, 12, 14, 13, 14, 13, 8, 8, 9, 9, 9, 13, 14, 13, 14, 13, 2, 2, 3, 5, 9, 9, 7, 6, 6, 6, 9, 9, 7, 6, 6, 6, 9, 9, 7, 6, 6, 6, 9, 9, 7, 6, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 6, 2, 2, 3, 4, 4, 3, 3, 3, 7, 6, 6, 7, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 6, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 8, 8, 0, 2, 2, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 2, 8, 4, 4, 4, 4, 0, 0, 0, 0, 1, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 9, 9, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 5, 5, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 5, 5, 0, 0, 1, 0, 1, 2, 1, 5, 5, 4, 1, 1, 2, 4, 4, 4, 0, 1, 1, 1, 1, 5, 5, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 5, 5, 6, 1, 1, 2, 6, 6, 6, 0, 0, 2, 2, 2, 6, 6, 4, 4, 4, 0, 0, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 3, 2, 3, 4, 4, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 3, 2, 4, 4, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 3, 2, 4, 4, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 3, 2, 4, 4, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 3, 2, 4, 4, 7, 1, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 2, 1, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 5, 5, 0, 2, 1, 0, 1, 2, 1, 5, 5, 0, 2, 1, 0, 1, 2, 1, 5, 5, 3, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 2, 1, 0, 1, 2, 1, 3, 3, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 2, 7, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2 ]
[ 1070, 15306, 1867, 32, 3378, 1188, 3772, 7145, 203, 1070, 15306, 1867, 32, 2304, 1188, 22158, 203, 1070, 15306, 1867, 32, 2304, 32, 28497, 1188, 4871, 81, 10514, 203, 1070, 15306, 1867, 32, 1237, 32, 2282, 32, 19561, 32, 7489, 81, 22288, 1188, 6595, 81, 22288, 203, 465, 2361, 203, 823, 475, 481, 2529, 2871, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1420, 81, 314, 47, 2521, 30, 5797, 47, 2521, 711, 291, 630, 32, 1945, 81, 314, 280, 1420, 81, 314, 291, 630, 32, 6263, 280, 5797, 203, 823, 20462, 47841, 2529, 7145, 26, 1761, 7145, 711, 284, 3079, 81, 4151, 280, 8825, 346, 284, 3079, 81, 407, 280, 8825, 346, 284, 7890, 81, 1489, 280, 5307, 486, 2312, 872, 25, 284, 477, 4699, 81, 10514, 284, 665, 1156, 1664, 3207, 324, 630, 30, 324, 6595, 81, 22288, 81, 314, 30, 324, 4262, 81, 27325, 47, 2521, 30, 324, 6063, 81, 770, 47, 2521, 30, 324, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 7897, 47841, 2529, 7145, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 2958, 81, 27325, 280, 4262, 81, 27325, 291, 630, 32, 7489, 81, 22288, 81, 314, 280, 6595, 81, 22288, 81, 314, 291, 630, 32, 10500, 81, 770, 280, 6063, 81, 770, 284, 665, 5742, 26, 784, 30, 1619, 711, 291, 19671, 280, 475, 481, 2529, 2871, 26, 1945, 81, 314, 1057, 35118, 505, 25, 474, 22158, 32, 44026, 922, 9328, 1643, 1157, 291, 415, 630, 32, 2958, 81, 27325, 438, 646, 1665, 44, 324, 19671, 280, 630, 32, 2958, 81, 27325, 26, 1819, 30, 19671, 27, 291, 415, 19671, 44, 324, 6595, 81, 22288, 26, 22288, 81, 314, 47, 784, 32, 7489, 81, 22288, 81, 314, 30, 715, 1420, 81, 314, 47, 17668, 32, 1945, 81, 314, 30, 715, 3570, 47, 1260, 32, 16958, 26, 17668, 32, 6263, 471, 715, 6063, 81, 770, 47, 784, 32, 10500, 81, 770, 30, 715, 7084, 81, 9441, 6360, 47, 2700, 27, 291, 813, 44, 324, 630, 32, 751, 32, 1338, 440, 11807, 646, 3279, 30, 14089, 544, 657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 2, 2, 5, 5, 4, 4, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 5, 5, 7, 7, 6, 7, 5, 5, 5, 7, 7, 6, 7, 5, 5, 5, 7, 5, 5, 7, 5, 4, 4, 10, 11, 11, 11, 11, 10, 10, 10, 9, 9, 10, 8, 8, 10, 8, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 8, 8, 8, 8, 5, 5, 8, 9, 9, 9, 7, 7, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 8, 8, 10, 10, 10, 9, 12, 12, 12, 10, 10, 14, 15, 14, 13, 13, 12, 4, 4, 5, 7, 8, 8, 8, 6, 6, 6, 5, 5, 5, 8, 8, 10, 11, 11, 11, 10, 11, 10, 10, 10, 4, 4, 5, 5, 5, 5, 9, 9, 9, 11, 11, 11, 10, 12, 11, 12, 12, 12, 12, 12, 9, 9, 9, 11, 11, 10, 12, 11, 12, 12, 12, 9, 9, 9, 10, 13, 12, 13, 12, 14, 13, 14, 12, 9, 9, 11, 11, 10, 12, 11, 12, 12, 12, 9, 9, 9, 11, 11, 11, 10, 11, 9, 5, 5, 6, 6, 6, 11, 12, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 5, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 0, 6, 6, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 3, 3, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 0, 2, 2, 2, 2, 1, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 7, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 9, 2, 1, 2, 2, 4, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 465, 5237, 203, 1070, 30902, 1188, 4527, 203, 2388, 4073, 280, 5741, 32, 10579, 463, 41204, 683, 203, 325, 3051, 4073, 32, 2649, 610, 5741, 32, 3908, 2695, 44, 284, 3051, 4073, 32, 34318, 26, 7490, 32, 17235, 27, 203, 589, 617, 669, 81, 1536, 81, 4531, 26, 4073, 711, 284, 4899, 280, 5741, 32, 1862, 1972, 26, 3731, 32, 9362, 27, 284, 4899, 32, 470, 8736, 26, 7490, 32, 8736, 26, 291, 6611, 26, 302, 27749, 27, 101, 18147, 2649, 426, 27, 101, 18147, 426, 27, 101, 18147, 1436, 27, 101, 2847, 284, 4082, 32, 669, 1972, 26, 4531, 27, 203, 81, 17872, 81, 4820, 280, 739, 346, 203, 589, 443, 81, 4073, 26, 6933, 30, 5352, 47, 2700, 711, 284, 4082, 280, 5741, 32, 10579, 26, 6933, 3667, 1647, 505, 474, 17021, 474, 9011, 3667, 426, 8223, 284, 415, 5352, 610, 330, 2811, 950, 291, 4082, 32, 34318, 26, 7490, 32, 2897, 27, 284, 4348, 5352, 610, 330, 1338, 950, 291, 4082, 32, 34318, 26, 7490, 32, 1589, 27, 284, 9011, 1114, 3163, 81, 751, 81, 2811, 280, 9254, 630, 44, 4082, 32, 30711, 1562, 26, 7490, 32, 2897, 27, 284, 9011, 1114, 3163, 81, 751, 81, 1338, 280, 9254, 630, 44, 4082, 32, 30711, 1562, 26, 7490, 32, 1589, 27, 284, 9011, 32, 4073, 280, 4082, 284, 617, 17872, 81, 4820, 32, 669, 26, 6933, 27, 203, 823, 17492, 1639, 26, 1473, 711, 284, 5741, 81, 426, 280, 1665, 284, 665, 617, 3163, 81, 751, 81, 2811, 26, 784, 711, 291, 442, 630, 32, 4073, 32, 30711, 1562, 26, 7490, 32, 2897, 27, 284, 665, 617, 3163, 81, 751, 81, 1338, 26, 784, 711, 291, 442, 630, 32, 4073, 32, 30711, 1562, 26, 7490, 32, 1589, 27, 203, 823, 11617, 3703, 26, 1473, 711, 284, 617, 3474, 81, 1110, 280, 301, 291, 1665, 44, 5741, 32, 3908, 2695, 30, 291, 3177, 44, 5741, 32, 3908, 2695, 30, 291, 2933, 44, 5741, 32, 1589, 30, 291, 330, 2811, 950, 5741, 32, 2897, 30, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 2248, 30, 636, 711, 291, 630, 32, 3474, 280, 2248, 291, 630, 32, 4073, 280, 5741, 32, 10579, 26, 426, 27, 291, 415, 630, 1114, 3474, 81, 1110, 77, 3474, 79, 2511, 5741, 32, 1589, 766, 324, 461, 646, 630, 32, 4073, 32, 14458, 44, 324, 617, 669, 81, 1536, 81, 4531, 26, 784, 32, 4073, 27, 284, 665, 4588, 26, 784, 30, 3124, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 751, 26, 7490, 32, 2897, 30, 3124, 30, 319, 1132, 30, 1115, 5321, 27, 284, 665, 3099, 26, 784, 30, 3124, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 751, 26, 7490, 32, 1589, 30, 3124, 30, 319, 1132, 30, 1115, 5321, 27, 284, 665, 5967, 26, 784, 30, 3124, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 32, 751, 26, 7490, 32, 10431, 30, 3124, 30, 319, 1132, 30, 1115, 5321, 27, 284, 17161, 280, 5967, 284, 665, 1048, 26, 784, 30, 3124, 30, 319, 1132, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 6, 6, 0, 1, 1, 4, 3, 4, 2, 2, 3, 4, 4, 1, 1, 1, 6, 5, 6, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 7, 6, 8, 7, 8, 6, 2, 2, 5, 6, 6, 5, 8, 7, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 6, 5, 6, 5, 0, 3, 3, 3, 3, 2, 2, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 10, 9, 10, 10, 8, 8, 7, 7, 8, 9, 9, 2, 2, 3, 4, 4, 6, 6, 3, 3, 7, 8, 7, 9, 8, 9, 7, 3, 3, 4, 5, 5, 7, 7, 4, 4, 8, 9, 8, 10, 9, 10, 8, 2, 2, 5, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 7, 8, 8, 7, 9, 8, 9, 7, 2, 2, 5, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 7, 8, 8, 7, 9, 8, 9, 7, 2, 2, 5, 6, 4, 4, 2, 2, 6, 6, 6, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 8, 7, 9, 8, 9, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 6, 6, 7, 8, 8, 5, 5, 5, 6, 6, 7, 8, 8, 5, 5, 5, 6, 6, 7, 8, 5, 5, 5, 8, 8, 6, 7, 8, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 9, 10, 10, 10, 8, 9, 8, 7, 7, 8, 9, 6, 7, 6, 6, 7, 9, 10, 8, 9, 5, 5, 5, 9, 9, 9, 9, 9, 9, 11, 10, 11, 9, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 7, 9, 8, 9, 7, 7, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 7, 9, 8, 9, 7, 7, 7, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 8, 7, 9, 8, 9, 7, 7, 7, 7, 9, 7, 7, 9, 7, 2, 2, 4, 4, 2, 2, 3, 4, 5, 4, 4, 4, 4, 6, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 4, 4, 0, 0, 2, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 2, 1, 0, 1, 2, 1, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 7, 7, 1, 1, 2, 1, 2, 2, 3, 2, 2, 7, 7, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 3, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 3, 3, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 6, 2, 1, 2, 2, 2, 2, 1, 2 ]
[ 465, 6234, 203, 465, 310, 10554, 29029, 203, 465, 20894, 203, 1070, 20894, 32, 6319, 1188, 38613, 2238, 203, 5123, 32, 1981, 81, 1648, 463, 41754, 370, 330, 35, 32, 34, 683, 203, 1070, 20894, 32, 6319, 1188, 570, 270, 203, 1070, 20894, 32, 6319, 1188, 3194, 930, 203, 1070, 4942, 1188, 485, 2461, 449, 203, 1070, 4942, 32, 92, 2712, 81, 9613, 1188, 971, 2712, 9998, 4546, 20971, 203, 1070, 4942, 32, 92, 2712, 81, 1286, 1188, 7299, 30, 971, 2712, 1777, 30, 971, 2712, 1777, 6435, 984, 203, 1070, 4942, 32, 3841, 81, 14458, 81, 5057, 1188, 10409, 1151, 203, 1070, 4942, 32, 92, 2712, 81, 2848, 1188, 12228, 2727, 203, 1070, 13625, 1188, 41829, 203, 465, 5741, 203, 751, 280, 5741, 32, 10579, 463, 89, 2461, 449, 32, 85, 32, 92, 2712, 81, 27922, 683, 203, 823, 971, 2712, 68, 2328, 1777, 26, 60, 2712, 1777, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3523, 30, 7444, 30, 11337, 47, 2521, 711, 291, 415, 11337, 438, 1665, 44, 324, 11337, 280, 971, 2712, 9998, 4546, 20971, 26, 2521, 27, 291, 971, 2712, 1777, 3667, 1664, 3207, 784, 30, 3523, 30, 11337, 27, 291, 630, 32, 3435, 280, 7444, 291, 630, 1114, 2632, 10576, 81, 10333, 280, 3177, 291, 630, 32, 14823, 2238, 81, 3435, 280, 5053, 7365, 950, 38613, 2238, 32, 18016, 32, 24191, 30, 324, 330, 5000, 950, 38613, 2238, 32, 18016, 32, 21050, 12893, 3435, 79, 291, 630, 32, 9247, 280, 1665, 291, 630, 32, 1617, 81, 1771, 280, 1665, 291, 630, 32, 2238, 81, 7815, 81, 8232, 280, 3177, 291, 630, 32, 26257, 81, 2584, 280, 3177, 4456, 630, 32, 18931, 710, 2848, 31, 1664, 16446, 785, 1454, 428, 784, 3667, 267, 81, 7001, 81, 687, 1729, 79, 291, 630, 32, 18931, 710, 1286, 31, 669, 785, 1454, 428, 784, 3667, 267, 81, 7001, 81, 687, 1729, 79, 291, 630, 32, 18931, 710, 2310, 31, 1338, 785, 1454, 428, 784, 3667, 267, 81, 7001, 81, 687, 1729, 79, 291, 630, 32, 18931, 710, 1286, 31, 7494, 785, 1454, 428, 784, 3667, 267, 81, 7001, 81, 687, 1729, 79, 291, 630, 32, 18931, 710, 2848, 31, 7494, 785, 1454, 428, 784, 3667, 267, 81, 7001, 81, 687, 1729, 79, 291, 630, 32, 18931, 710, 2848, 31, 25074, 785, 1454, 428, 784, 3667, 4048, 79, 291, 630, 32, 18931, 710, 2848, 31, 25074, 31, 5914, 785, 1454, 428, 784, 3667, 4048, 79, 284, 665, 4705, 81, 2238, 26, 784, 30, 544, 81, 1617, 81, 6126, 81, 11043, 711, 291, 630, 32, 9247, 280, 570, 270, 32, 8386, 346, 291, 6866, 280, 630, 32, 9247, 32, 371, 81, 4891, 346, 291, 6866, 32, 669, 81, 7295, 81, 6589, 346, 291, 6866, 32, 3517, 463, 1436, 370, 630, 1114, 267, 81, 14259, 81, 1436, 27, 291, 630, 32, 31815, 280, 570, 270, 32, 1308, 2214, 32, 2682, 463, 2548, 27922, 31815, 370, 1665, 27, 291, 630, 32, 9247, 32, 669, 26, 784, 32, 31815, 27, 291, 630, 32, 6381, 8613, 280, 1665, 291, 630, 32, 98, 36, 98, 2848, 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, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 11, 10, 4, 4, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 11, 11, 9, 12, 11, 12, 10, 11, 8, 8, 8, 11, 11, 9, 12, 11, 12, 10, 11, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 8, 9, 7, 9, 9, 9, 9, 9, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 9, 9, 9, 9, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 9, 9, 9, 9, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 9, 9, 9, 9, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 9, 9, 9, 9, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 8, 9, 7, 9, 9, 9, 9, 6, 6, 9, 8, 9, 7, 4, 4, 8, 9, 7, 9, 9, 9, 9, 9, 9, 6, 6, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 4, 3, 3, 7, 8, 6, 6, 9, 8, 9, 8, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 6, 6, 10, 9, 10, 10, 8, 9, 8, 10, 10, 10, 10, 8, 8, 4, 4, 8, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 7, 7, 0, 0, 0, 8, 8, 1, 2, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 2, 2, 2, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 10, 10, 1, 2, 2, 2, 2, 2, 10, 10, 0, 0, 11, 11, 1, 2, 2, 2, 2, 11, 11, 0, 0, 12, 12, 12, 12, 0, 13, 13, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 15, 15, 1, 1, 1, 1, 2, 1, 1, 1, 2, 15, 15, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 3, 0, 0, 2, 2, 2, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0 ]
[ 823, 36258, 26, 1473, 711, 284, 617, 890, 81, 1110, 3351, 280, 3177, 284, 665, 1156, 1664, 3207, 784, 711, 291, 3097, 284, 665, 1156, 1851, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 3317, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 3909, 26, 784, 30, 443, 3739, 1542, 30, 1544, 11138, 3865, 19704, 711, 291, 1542, 32, 3317, 81, 823, 26, 823, 7912, 291, 415, 2069, 26, 339, 11138, 3865, 27, 461, 646, 1542, 32, 297, 81, 1251, 2262, 324, 3636, 3268, 463, 1768, 11138, 3865, 883, 1755, 526, 10416, 544, 5166, 11834, 291, 436, 636, 30, 1544, 31595, 328, 1544, 11138, 3865, 32, 40957, 2262, 324, 1541, 280, 1542, 324, 1541, 32, 669, 81, 339, 31595, 26, 339, 31595, 30, 636, 27, 324, 12112, 280, 1544, 31595, 32, 19115, 324, 12112, 32, 669, 81, 339, 31595, 26, 339, 31595, 30, 636, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 4, 6, 6, 5, 4, 3, 3, 7, 8, 8, 8, 7, 8, 8, 4, 4, 5, 8, 9, 9, 9, 8, 6, 6, 7, 9, 10, 10, 10, 9, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 6, 7, 5, 5, 8, 8, 7, 8, 7, 5, 5, 8, 8, 6, 6, 9, 10, 10, 10, 10, 9, 10, 10, 9, 9, 9, 6, 6, 8, 8, 10, 9, 10, 6, 6, 9, 10, 10, 10, 10, 9, 10, 10, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 3, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 7, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 5, 5, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 5, 5, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 8527, 32, 2387, 1188, 10838, 40672, 203, 1070, 8527, 32, 858, 1188, 7155, 7233, 203, 1070, 4377, 2304, 1188, 4705, 203, 823, 6468, 2633, 4470, 26, 5291, 7233, 711, 284, 477, 5522, 14178, 1793, 34, 35, 950, 330, 4572, 623, 1202, 47, 2665, 32, 678, 3328, 1656, 1202, 2038, 4572, 943, 1793, 3328, 18143, 284, 665, 894, 81, 1793, 34, 35, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 1793, 34, 35, 370, 5053, 2665, 950, 5053, 678, 950, 225, 39, 34, 24471, 291, 630, 32, 5299, 26, 2024, 30, 330, 39, 34, 683, 284, 477, 5522, 14178, 18244, 1793, 34, 35, 950, 330, 4572, 623, 5436, 32, 678, 619, 1202, 3328, 1656, 1202, 2038, 4572, 943, 1793, 3328, 18143, 284, 665, 894, 81, 18244, 1793, 34, 35, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 18244, 1793, 34, 35, 370, 5053, 2665, 950, 5053, 678, 950, 225, 39, 34, 24471, 291, 630, 32, 5299, 26, 2024, 30, 330, 39, 34, 683, 284, 477, 5522, 14178, 1793, 34, 36, 950, 23728, 1202, 2038, 4572, 623, 1202, 47, 2665, 32, 678, 3328, 25, 2855, 23728, 1202, 2038, 40131, 5436, 32, 678, 2038, 40131, 1202, 2038, 25, 2855, 330, 4572, 943, 1793, 3328, 1656, 1202, 2038, 18143, 284, 665, 894, 81, 1793, 34, 36, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 1793, 34, 36, 370, 5053, 2665, 950, 5053, 678, 950, 225, 39, 34, 24471, 291, 415, 630, 32, 3483, 32, 800, 81, 325, 81, 5790, 44, 324, 630, 32, 5299, 26, 2024, 30, 330, 8606, 39, 34, 31, 39, 34, 31, 39, 34, 8606, 683, 291, 813, 44, 324, 630, 32, 5299, 26, 2024, 30, 330, 39, 34, 31, 39, 34, 31, 39, 34, 683, 284, 477, 5522, 14178, 18244, 1793, 34, 36, 950, 23728, 1202, 2038, 4572, 623, 5436, 32, 678, 619, 1202, 3328, 25, 1014, 23728, 1202, 2038, 40131, 5436, 32, 678, 2038, 40131, 1202, 2038, 25, 1014, 330, 4572, 943, 1793, 3328, 1656, 1202, 2038, 18143, 284, 665, 894, 81, 18244, 1793, 34, 36, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 18244, 1793, 34, 36, 370, 5053, 2665, 950, 5053, 678, 950, 225, 39, 34, 24471, 291, 415, 630, 32, 3483, 32, 800, 81, 325, 81, 5790, 44, 324, 630, 32, 5299, 26, 2024, 30, 330, 8606, 39, 34, 31, 39, 34, 31, 39, 34, 8606, 683, 291, 813, 44, 324, 630, 32, 5299, 26, 2024, 30, 330, 39, 34, 31, 39, 34, 31, 39, 34, 683, 284, 477, 5522, 14178, 1793, 34, 37, 950, 330, 4572, 623, 312, 47, 4893, 323, 47, 5992, 3328, 1656, 312, 2038, 1656, 323, 2038, 4572, 943, 1793, 3328, 18143, 284, 665, 894, 81, 1793, 34, 37, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 1793, 34, 37, 370, 5053, 4893, 950, 330, 51, 370, 330, 5992, 950, 330, 52, 18143 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 15, 15, 13, 14, 14, 12, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 9, 13, 13, 11, 15, 15, 13, 14, 14, 12, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 15, 15, 13, 14, 14, 12, 5, 5, 6, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 6, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 7, 7, 11, 12, 11, 12, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 2, 2, 6, 6, 10, 10, 10, 10, 10, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 9, 13, 13, 11, 15, 15, 13, 14, 14, 12, 5, 5, 6, 8, 9, 7, 8, 8, 8, 8, 8, 6, 6, 6, 10, 11, 10, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 7, 7, 7, 11, 12, 11, 12, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 13, 13, 10, 13, 13, 11, 13, 13 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 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, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 4, 4, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 4, 4, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 2 ]
[ 9592, 203, 10581, 225, 36, 34, 35, 37, 6597, 6355, 32, 203, 4391, 432, 458, 1914, 1340, 438, 17547, 810, 312, 11895, 31, 1621, 3541, 688, 883, 526, 203, 6264, 328, 322, 7616, 803, 32, 203, 9592, 203, 465, 7744, 203, 465, 25679, 203, 589, 4797, 10686, 8483, 26, 96, 711, 334, 442, 7744, 32, 265, 88, 26, 96, 517, 7744, 32, 8663, 26, 36, 490, 203, 589, 4797, 10686, 8483, 3198, 26, 83, 30, 323, 711, 334, 415, 323, 333, 312, 44, 284, 442, 225, 34, 45, 334, 415, 312, 333, 225, 34, 44, 284, 415, 323, 333, 225, 34, 44, 397, 442, 308, 20490, 10686, 8483, 3736, 83, 27, 429, 4797, 10686, 8483, 3736, 84, 490, 517, 225, 36, 45, 284, 813, 44, 397, 442, 308, 20490, 10686, 8483, 3736, 83, 27, 474, 4797, 10686, 8483, 26, 84, 490, 517, 225, 36, 45, 334, 813, 44, 284, 442, 308, 20490, 10686, 8483, 26, 84, 27, 429, 4797, 10686, 8483, 26, 83, 490, 517, 225, 36, 45, 203, 7088, 81, 462, 81, 7790, 280, 225, 38, 203, 1113, 1082, 3246, 81, 462, 81, 7790, 280, 225, 37, 203, 3287, 81, 21463, 280, 428, 3812, 32, 1803, 88, 1162, 1808, 26, 1113, 1082, 94, 81, 1055, 4165, 1113, 1082, 3246, 81, 462, 81, 7790, 474, 225, 35, 32, 34, 13824, 36, 32, 34, 28, 1113, 1082, 3246, 81, 462, 81, 7790, 32707, 7088, 81, 462, 81, 7790, 27, 436, 1361, 1082, 94, 81, 1055, 328, 2155, 26, 1113, 1082, 3246, 81, 462, 81, 7790, 2177, 203, 3287, 81, 9660, 81, 1644, 280, 225, 39, 203, 1530, 81, 1902, 81, 1449, 280, 225, 37, 203, 1977, 81, 1036, 280, 225, 34, 106, 35, 35, 34, 203, 979, 3964, 81, 2881, 30, 3964, 81, 2934, 328, 3964, 81, 21463, 44, 334, 35139, 101, 280, 1605, 334, 35139, 101, 81, 19028, 280, 1605, 334, 1550, 81, 3287, 81, 1873, 280, 3964, 81, 2881, 429, 3964, 81, 9660, 81, 1644, 334, 1550, 81, 1530, 81, 1902, 81, 1873, 280, 429, 1530, 81, 1902, 81, 1449, 334, 3390, 280, 3177, 334, 2218, 646, 3390, 44, 284, 1550, 81, 3287, 81, 990, 280, 7744, 32, 9121, 26, 1700, 81, 3287, 81, 1873, 474, 225, 35, 27, 284, 415, 1550, 81, 3287, 81, 990, 848, 3964, 81, 2881, 474, 3964, 81, 9660, 81, 1644, 44, 397, 3390, 280, 2933, 397, 1550, 81, 3287, 81, 990, 280, 3964, 81, 2881, 474, 3964, 81, 9660, 81, 1644, 284, 1550, 81, 1530, 81, 1902, 81, 990, 280, 1550, 81, 1530, 81, 1902, 81, 1873, 474, 1833, 1700, 81, 3287, 81, 990, 429, 1550, 81, 3287, 81, 1873, 27, 517, 3964, 81, 9660, 81, 1644, 27, 319, 1230, 81, 1902, 81, 1449, 284, 14755, 280, 4797, 10686, 8483, 3198, 26, 1700, 81, 1530, 81, 1902, 81, 1873, 30, 1550, 81, 1530, 81, 1902, 81, 990, 27, 284, 35139, 101, 32, 1689, 26, 14550, 319, 1760, 81, 1036, 27, 284, 35139, 101, 81, 19028, 32, 1689, 26, 410, 26, 1497, 26, 14550, 319, 1760, 81, 1036, 2610, 284, 1550, 81, 3287, 81, 1873, 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 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 6, 5, 7, 6, 6, 8, 9, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 6, 4, 2, 2, 3, 4, 4, 5, 3, 3, 3, 5, 6, 6, 7, 5, 5, 5, 7, 12, 12, 12, 12, 14, 12, 10, 10, 12, 12, 12, 14, 12, 8, 8, 9, 6, 5, 5, 6, 6, 6, 8, 13, 13, 13, 13, 15, 13, 11, 11, 13, 13, 13, 14, 13, 9, 9, 10, 7, 3, 3, 4, 4, 4, 6, 11, 11, 11, 11, 12, 11, 9, 9, 11, 11, 11, 12, 11, 7, 7, 8, 5, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 6, 5, 6, 6, 5, 11, 11, 12, 12, 12, 12, 12, 11, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 9, 12, 12, 12, 11, 12, 12, 12, 12, 12, 12, 12, 10, 7, 7, 7, 7, 7, 5, 3, 4, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 6, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 2, 3, 3, 1, 1, 2, 2, 1, 1, 1, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 5, 5, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 2, 2, 3, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 9, 9, 10, 8, 4, 4, 5, 7, 7, 7, 7, 6, 6, 8, 8, 7, 7, 8, 8, 8, 8, 5, 5, 5, 8, 8, 6, 6, 9, 9, 9, 9, 8, 8, 10, 10, 9, 9, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 7, 7, 13, 13, 13, 13, 13, 12, 12, 13, 13, 13, 13, 11, 10, 10, 11, 11, 11, 11, 9, 8, 8, 9, 9, 9, 9, 4, 4, 6, 6, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 8, 7, 8, 7, 9, 8, 8, 9, 9, 7, 4, 4, 8, 8, 8, 7, 8, 7, 9, 9, 11, 11, 13, 12, 12, 13, 13, 11, 4, 4, 7, 7, 7, 7, 6 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 0, 0, 0, 0, 1, 3, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 3, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 11, 11, 0, 0, 1, 1, 2, 2, 11, 11, 3, 3, 11, 11, 11, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 0, 5, 5, 5, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 3, 3, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 8527, 32, 12023, 32, 1286, 2516, 32, 3378, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 14264, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 4741, 1176, 26, 10529, 81, 426, 1057, 779, 370, 12741, 47, 2700, 30, 2267, 81, 4524, 47, 1815, 30, 7458, 81, 678, 47, 1815, 3662, 400, 2726, 426, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 3662, 400, 2726, 725, 81, 1172, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 3662, 400, 2726, 1160, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 34, 34, 30, 9541, 81, 426, 1057, 2958, 1542, 443, 636, 13356, 324, 2505, 324, 2075, 1279, 400, 330, 24576, 950, 2726, 426, 370, 471, 400, 330, 1199, 81, 1274, 950, 330, 11025, 81, 1286, 81, 681, 370, 400, 330, 10529, 81, 426, 950, 330, 1286, 827, 370, 400, 330, 10529, 81, 426, 81, 25857, 950, 330, 1286, 3738, 370, 324, 801, 324, 26394, 4310, 3378, 32, 1243, 28020, 324, 39143, 6020, 400, 2726, 5740, 370, 8527, 32, 12023, 32, 1286, 2516, 32, 3378, 32, 14264, 1572, 6182, 324, 2505, 291, 2588, 291, 12522, 32, 18846, 10189, 705, 9424, 26, 324, 636, 1057, 1286, 681, 370, 324, 5799, 81, 36202, 47, 470, 2009, 463, 725, 81, 1172, 370, 330, 1160, 683, 5727, 291, 2588, 284, 1481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 14, 14, 13, 15, 15, 12, 13, 14, 12, 12, 14, 14, 13, 14, 12, 12, 14, 14, 13, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 13, 15, 15, 15, 15, 15, 9, 9, 7, 7, 8, 9, 9, 12, 12, 10, 13, 13, 11, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 9, 9, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12, 9, 9, 7, 7, 8, 11, 10, 11, 9, 7, 7, 8, 9, 9, 12, 12, 10, 15, 16, 14, 15, 15, 13, 14, 12, 13, 13, 12, 9, 9, 7, 7, 5, 5, 7, 8, 8, 8, 8, 7, 7, 7, 8, 10, 10, 10, 7, 7, 9, 9, 8, 10, 10, 12, 14, 14, 14, 14, 12, 14, 14, 11, 7, 7, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 6, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 1, 0, 0, 7, 2, 1, 2, 2, 1, 2, 3, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 7, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 5, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 2, 2, 2, 1, 1, 7, 0, 1, 2, 2, 1, 1, 9, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 3619, 32725, 32, 22235, 1188, 18044, 21055, 30, 810, 6332, 30, 2305, 30, 16962, 30, 8153, 203, 1070, 3619, 32725, 32, 1956, 1188, 319, 203, 465, 309, 27392, 203, 823, 971, 404, 21055, 26, 10851, 21055, 711, 284, 636, 280, 313, 60, 404, 20, 284, 20664, 280, 3037, 20813, 1446, 284, 26719, 280, 3037, 8440, 24404, 1446, 284, 14035, 81, 29396, 280, 540, 34761, 34, 31, 43, 729, 77, 34, 31, 43, 81, 6603, 77, 34, 31, 43, 1130, 12791, 284, 7937, 280, 301, 291, 330, 2388, 950, 428, 324, 308, 100, 40299, 40708, 30145, 14533, 471, 324, 2305, 463, 9777, 1425, 324, 2305, 463, 7255, 1425, 324, 2305, 463, 26354, 1425, 324, 308, 13773, 81, 29396, 30, 24849, 32, 1918, 471, 324, 308, 100, 9588, 34, 4104, 32, 1371, 34, 1748, 49, 2296, 1643, 26, 13773, 81, 29396, 471, 24849, 32, 1918, 471, 324, 308, 100, 20, 1371, 34, 1748, 49, 8169, 109, 34, 16054, 1643, 26, 13773, 81, 29396, 471, 24849, 32, 1918, 471, 324, 308, 100, 20, 1492, 29548, 6505, 22088, 24849, 32, 652, 471, 324, 308, 100, 3171, 29548, 6505, 26650, 24849, 32, 652, 471, 324, 308, 100, 7646, 10788, 3319, 30, 5307, 2018, 1425, 324, 308, 100, 7646, 5715, 3319, 30, 5307, 3235, 1425, 324, 2884, 3003, 3319, 32, 31641, 471, 324, 2305, 463, 18246, 1425, 324, 308, 100, 20, 2009, 83, 31, 15188, 31, 76, 81, 1674, 83, 31, 15188, 31, 76, 81, 34, 31, 43, 38131, 392, 3270, 471, 324, 308, 100, 2296, 392, 3270, 471, 291, 2505, 291, 330, 7255, 950, 428, 324, 308, 4068, 26, 400, 308, 528, 313, 784, 392, 528, 313, 913, 392, 528, 313, 416, 392, 528, 313, 589, 392, 528, 313, 823, 392, 528, 313, 2387, 392, 528, 313, 325, 392, 528, 313, 12106, 392, 528, 313, 1824, 392, 528, 313, 5525, 392, 528, 313, 979, 392, 528, 313, 266, 392, 528, 313, 302, 392, 528, 313, 465, 392, 528, 313, 6649, 392, 528, 313, 12484, 392, 400, 2588, 12809, 280, 540, 10255, 84, 1425, 1802, 30465, 27, 291, 2505, 291, 330, 9777, 950, 428, 324, 308, 4068, 26, 400, 308, 528, 313, 1508, 392, 528, 313, 1870, 392, 528, 313, 1693, 392, 528, 313, 5267, 392, 528, 313, 10095, 392, 400, 2588, 12809, 280, 540, 10255, 84, 1425, 1802, 3270, 32, 27939, 27, 291, 2505, 291, 330, 26354, 950, 428, 324, 308, 4068, 26, 400, 308, 528, 313, 16156, 392, 528, 313, 1428, 392, 528, 313, 1428, 42, 392, 528, 313, 1428, 35, 40, 392, 528, 313, 1428, 37, 36, 392, 528, 313, 1428, 40, 38, 392, 528, 313, 1428, 35, 36, 42, 392, 528, 313, 9269, 392, 528, 313, 9269, 42, 392, 528, 313, 9269, 35, 40, 392, 528, 313, 9269, 37, 36, 392, 528, 313, 9269, 40, 38, 392, 528, 313, 9269, 35, 36, 42, 392, 528, 313, 3670, 392, 528, 313, 3670, 35, 40, 392, 528, 313, 3670, 37, 36, 392, 528, 313, 3670, 40, 38, 392, 528, 313, 71, 3670, 392, 528, 313, 71, 3670, 35, 40, 392, 528, 313, 71, 3670, 37 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 7, 7, 2, 2, 4, 4, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 8, 8, 7, 7, 9, 11, 11, 7, 7, 9, 11, 11, 7, 7, 9, 11, 11, 7, 7, 9, 9, 9, 8, 8, 9, 10, 8, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 11, 11, 10, 8, 9, 10, 8, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 11, 11, 10, 8, 9, 10, 8, 7, 7, 10, 10, 10, 10, 10, 10, 8, 9, 10, 8, 7, 7, 10, 10, 10, 10, 10, 8, 9, 10, 8, 7, 7, 10, 10, 10, 8, 8, 8, 10, 10, 7, 7, 10, 10, 10, 8, 8, 8, 10, 10, 7, 7, 10, 8, 9, 10, 8, 7, 7, 9, 11, 11, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 10, 10, 10, 8, 8, 7, 7, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 10, 11, 11, 13, 13, 13, 8, 8, 8, 7, 7, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 10, 11, 11, 13, 13, 13, 8, 8, 9, 10, 8, 7, 7, 5, 5, 8, 8, 6, 7, 7, 10, 10, 10, 10, 11, 11, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 13, 11, 11, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 13, 11, 11, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 11, 11, 13, 13, 11, 11, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 11, 11, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 3, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 9, 9, 3, 2, 9, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 11, 3, 2, 11, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 13, 3, 2, 13, 2, 2, 0, 0, 1, 1, 1, 1, 15, 3, 2, 15, 2, 2, 0, 0, 1, 1, 1, 17, 3, 2, 17, 2, 2, 0, 0, 1, 19, 19, 19, 1, 2, 2, 2, 0, 0, 1, 21, 21, 21, 1, 2, 2, 2, 1, 23, 3, 2, 23, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 27, 27, 2, 2, 0, 0, 2, 29, 29, 2, 2, 2, 2, 1, 2, 3, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 5, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 1, 2, 1, 1, 3, 2, 1, 2, 2, 2, 2, 1, 2, 7, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 11685, 203, 1070, 323, 46975, 1188, 323, 46975, 203, 1070, 13625, 1188, 33953, 30, 31466, 203, 1070, 31074, 1188, 8241, 203, 1070, 8527, 32, 7491, 1188, 11550, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 5692, 34747, 203, 1070, 8527, 32, 1199, 1188, 12215, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 4151, 1188, 7984, 1176, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 4151, 32, 5866, 1188, 7679, 73, 2051, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 1188, 23864, 25034, 1176, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 32, 605, 25078, 1188, 29667, 30, 24603, 885, 203, 1070, 8527, 32, 2304, 32, 44136, 1188, 26396, 383, 36115, 35, 35, 34, 5711, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 308, 284, 7650, 81, 878, 30, 4262, 81, 36, 81, 9941, 81, 14600, 30, 18548, 81, 878, 30, 203, 27, 203, 1070, 8527, 32, 2304, 32, 18651, 1188, 10814, 81, 2433, 203, 1070, 8527, 32, 2304, 32, 45743, 81, 2613, 1188, 456, 2947, 81, 2613, 203, 1070, 8527, 32, 2304, 32, 878, 1188, 35958, 81, 1732, 81, 452, 81, 8732, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 2684, 30, 802, 81, 7232, 203, 26681, 81, 27717, 69, 280, 1300, 346, 203, 13073, 81, 16477, 2893, 81, 27803, 280, 8825, 346, 203, 2331, 27308, 2147, 81, 10431, 280, 308, 284, 313, 1318, 442, 827, 432, 6611, 101, 25, 1395, 7152, 526, 4031, 733, 32, 1670, 844, 2637, 372, 36449, 458, 1149, 313, 284, 313, 979, 1370, 4369, 793, 30, 1930, 312, 1933, 1932, 3107, 203, 27, 203, 5807, 81, 8356, 280, 2726, 10529, 81, 426, 370, 330, 10529, 81, 426, 81, 25857, 370, 330, 1199, 81, 1274, 370, 330, 24576, 370, 353, 330, 5665, 81, 36202, 370, 330, 11893, 370, 330, 371, 81, 5323, 81, 1170, 370, 353, 330, 1174, 81, 1793, 81, 575, 921, 81, 452, 370, 330, 725, 81, 1172, 370, 330, 1199, 81, 1274, 1166, 370, 353, 330, 9436, 370, 330, 12262, 370, 330, 5866, 370, 330, 1586, 44930, 370, 330, 2837, 81, 4524, 370, 353, 330, 1055, 81, 36202, 370, 330, 7491, 370, 330, 1536, 81, 11893, 370, 353, 330, 1613, 81, 267, 81, 2853, 370, 330, 1536, 81, 10513, 81, 426, 370, 353, 330, 3648, 81, 1199, 81, 5905, 370, 330, 3648, 81, 1199, 81, 7980, 683, 203, 823, 3636, 81, 44136, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 20051, 81, 33424, 711, 291, 630, 32, 15206, 318, 81, 33424, 280, 20051, 81, 33424, 284, 665, 1156, 1851, 3207, 784, 30, 2771, 711, 291, 665, 7767, 2740, 1132, 30, 1115, 5321, 711, 324, 11685, 32, 8447, 26, 400, 5335, 23, 101, 438, 600, 707, 25751, 2330, 688, 1401, 2583, 12687, 32, 313, 400, 313, 4282, 1631, 526, 5300, 372, 7084, 561, 623, 6611, 101, 7362, 904, 308, 528, 2771, 3667, 426, 7642, 528, 630, 32, 15206, 318, 81, 33424, 30, 400, 2588, 400, 26396, 383, 36115, 35, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 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, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 6, 6, 8, 6, 5, 5, 9, 10, 9, 9, 9, 13, 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, 10, 10, 11, 11, 12, 13, 13, 11, 11, 12, 13, 13, 13, 13, 11, 11, 11, 9, 9, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 8, 8, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 1, 6, 1, 8, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 1, 6, 1, 8, 11, 11, 0, 0, 0, 12, 12, 1, 2, 12, 12, 0, 13, 13, 1, 2, 1, 4, 4, 13, 13, 13, 13, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 0, 0, 0, 0, 0, 0, 0, 15, 15, 1, 2, 1, 4, 15, 15, 15, 15, 0, 0, 15, 15, 0, 0, 0, 0, 0, 0, 15, 15, 0, 0, 15, 15, 15, 0, 16, 16, 1, 2, 1, 4, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 4, 4, 17, 17, 0, 0, 0, 0, 18, 18, 1, 2, 1, 4, 18, 18, 0, 0, 0, 0, 0, 0, 0, 19, 19, 1, 2, 1, 4, 19, 19, 19, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 24, 24, 1, 1, 2, 1, 2, 24, 24, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 465, 12500, 32, 2500, 1154, 619, 7680, 2500, 203, 465, 1933, 203, 1270, 44, 284, 645, 10020, 10328, 32, 716, 1188, 30596, 619, 3619, 16443, 203, 7343, 29986, 44, 284, 1188, 3619, 16443, 203, 1270, 44, 284, 1188, 18414, 32, 33386, 284, 1188, 18414, 32, 1442, 893, 284, 18414, 2950, 280, 2933, 203, 7343, 29986, 44, 284, 18414, 2950, 47, 2700, 203, 1070, 2417, 317, 4698, 1188, 7680, 4698, 203, 1070, 4377, 1188, 9991, 203, 1070, 638, 1188, 296, 4453, 30, 1160, 30, 1160, 3365, 203, 1070, 638, 1188, 15223, 31203, 203, 465, 10020, 10328, 32, 9660, 619, 1044, 203, 11044, 81, 2665, 81, 85, 272, 280, 109, 400, 330, 60, 35, 31, 34, 950, 261, 43, 37, 35, 41, 37, 32, 41, 40, 37, 41, 87, 40, 30, 400, 330, 60, 36, 31, 35, 950, 225, 35, 42, 40, 37, 38, 38, 32, 42, 38, 36, 34, 87, 40, 30, 400, 330, 60, 37, 31, 36, 950, 225, 36, 41, 43, 39, 35, 35, 32, 42, 37, 36, 39, 87, 40, 30, 3083, 320, 203, 104, 1719, 81, 4446, 81, 2665, 1279, 284, 330, 60, 35, 31, 34, 81, 34, 35, 950, 429, 41, 32, 43, 43, 37, 34, 30, 284, 330, 60, 35, 31, 34, 81, 34, 36, 950, 429, 41, 32, 43, 43, 37, 34, 30, 284, 330, 60, 35, 31, 34, 81, 34, 37, 950, 429, 41, 32, 43, 43, 37, 34, 30, 284, 330, 60, 35, 31, 34, 81, 34, 38, 950, 429, 34, 32, 40, 35, 35, 36, 30, 284, 330, 60, 35, 31, 34, 81, 34, 39, 950, 429, 34, 32, 40, 35, 35, 36, 30, 284, 330, 60, 35, 31, 34, 81, 34, 40, 950, 429, 34, 32, 40, 35, 35, 36, 30, 284, 330, 60, 35, 31, 34, 81, 34, 41, 950, 225, 34, 32, 34, 34, 34, 34, 30, 284, 330, 60, 35, 31, 34, 81, 34, 42, 950, 225, 34, 32, 43, 39, 37, 37, 30, 284, 330, 60, 35, 31, 34, 81, 34, 43, 950, 225, 34, 32, 43, 39, 37, 37, 30, 284, 330, 60, 35, 31, 34, 81, 35, 34, 950, 225, 39, 32, 39, 37, 41, 35, 30, 284, 330, 60, 35, 31, 34, 81, 35, 35, 950, 225, 39, 32, 39, 37, 41, 35, 30, 284, 330, 60, 35, 31, 34, 81, 35, 36, 950, 225, 39, 32, 39, 37, 41, 35, 30, 284, 330, 60, 35, 31, 34, 81, 35, 37, 950, 225, 39, 32, 43, 41, 34, 38, 30, 284, 330, 60, 35, 31, 34, 81, 35, 38, 950, 225, 39, 32, 43, 41, 34, 38, 30, 284, 330, 60, 35, 31, 34, 81, 35, 39, 950, 225, 40, 32, 43, 36, 37, 42, 30, 284, 330, 60, 36, 31, 35, 81, 34, 35, 950, 429, 38, 32, 40, 36, 39, 42, 30, 284, 330, 60, 36, 31, 35, 81, 34, 36, 950, 429, 38, 32, 39, 41, 38, 35, 30, 284, 330, 60, 36, 31, 35, 81, 34, 37 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 4, 2, 2, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 5, 4, 5, 3, 3, 4, 4, 5, 1, 2, 2, 2, 2, 2, 4, 6, 0, 1, 1, 1, 1, 3, 4, 5, 2, 2, 3, 4, 5, 5, 2, 2, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 5, 6, 0, 1, 1, 4, 4, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 3, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 0, 1, 2, 0, 0, 3, 3, 2, 4, 3, 3, 3, 3, 3, 0, 0, 0, 5, 5, 5, 5, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 5, 3, 3, 3, 3, 3, 0, 0, 2, 0, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 9, 9, 9, 9, 0, 0, 10, 10, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 13, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 15, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 17, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 19, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 21, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 23, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 25, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 27, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 29, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 31, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 33, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1 ]
[ 823, 9306, 2304, 924, 308, 984, 711, 284, 3097, 203, 823, 9306, 2304, 2459, 924, 308, 4496, 2304, 924, 711, 284, 3097, 203, 823, 9306, 2304, 1339, 924, 308, 4496, 2304, 924, 711, 284, 3097, 203, 823, 9306, 2304, 936, 2215, 924, 308, 4496, 2304, 924, 711, 284, 3097, 203, 823, 9306, 2304, 1765, 924, 308, 4496, 2304, 924, 711, 284, 3097, 203, 823, 9306, 2304, 974, 924, 308, 4496, 2304, 924, 711, 284, 3097, 203, 823, 9306, 2304, 2828, 924, 308, 4496, 2304, 924, 711, 284, 3097, 203, 823, 9306, 2304, 6435, 924, 308, 4496, 2304, 924, 711, 284, 3097, 203, 823, 9306, 2304, 6841, 924, 308, 4496, 2304, 924, 711, 284, 3097, 203, 823, 9306, 2304, 2650, 924, 308, 4496, 2304, 924, 711, 284, 3097, 203, 823, 9306, 2304, 4292, 924, 308, 4496, 2304, 924, 711, 284, 3097, 203, 823, 9306, 2304, 3442, 924, 308, 4496, 2304, 924, 711, 203, 823, 9306, 2304, 3930, 13788, 924, 26, 4496, 2304, 924, 711, 203, 823, 390, 8115, 924, 308, 984, 711, 203, 823, 7474, 2416, 924, 308, 53, 8115, 924, 711, 203, 823, 23917, 924, 308, 53, 8115, 924, 711, 203, 823, 17442, 924, 308, 53, 8115, 924, 711, 203, 823, 6116, 924, 308, 53, 8115, 924, 711, 203, 823, 17927, 974, 924, 308, 53, 8115, 924, 711, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 2, 1, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 2, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 0, 1, 1, 2, 2, 1, 3, 2, 0, 1, 1, 2, 2, 1, 3, 3, 3, 2, 0, 1, 1, 2, 1, 3, 3, 3, 2, 0, 1, 1, 2, 1, 3, 3, 3, 2, 0, 1, 1, 2, 1, 3, 3, 3, 2, 0, 1, 1, 2, 2, 1, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 4, 1, 1, 1, 2, 4, 4, 0, 5, 5, 1, 1, 1, 5, 1, 1, 1, 2, 5, 5, 0, 6, 6, 1, 1, 1, 6, 1, 1, 1, 2, 6, 6, 0, 7, 7, 1, 1, 1, 7, 1, 1, 1, 2, 7, 7, 0, 8, 8, 1, 1, 1, 8, 1, 1, 1, 2, 8, 8, 0, 9, 9, 1, 1, 1, 9, 1, 1, 1, 2, 9, 9, 0, 10, 10, 1, 1, 1, 10, 1, 1, 1, 2, 10, 10, 0, 11, 11, 1, 1, 1, 11, 1, 1, 1, 2, 0, 12, 12, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 13, 13, 1, 1, 13, 1, 2, 0, 14, 14, 1, 1, 14, 1, 1, 1, 2, 0, 15, 15, 1, 15, 1, 1, 1, 2, 0, 16, 16, 1, 16, 1, 1, 1, 2, 0, 17, 17, 1, 17, 1, 1, 1, 2, 0, 18, 18, 1, 1, 18, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 316, 203, 1070, 10245, 1188, 23501, 30, 8073, 3774, 30, 11253, 6140, 81, 34266, 81, 2418, 203, 465, 3995, 619, 3995, 81, 1647, 203, 1270, 44, 284, 645, 35094, 1188, 33845, 203, 7343, 29986, 44, 284, 645, 8527, 32, 2304, 32, 18651, 1188, 33845, 261, 203, 1070, 8527, 32, 2387, 32, 1439, 1188, 9870, 30, 13392, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 2304, 1188, 15477, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 9941, 30, 595, 344, 81, 452, 81, 3423, 203, 1070, 8527, 32, 2304, 32, 916, 1188, 21161, 81, 11731, 203, 1070, 8527, 32, 2304, 32, 39804, 445, 2582, 1188, 3634, 81, 4770, 30, 21763, 750, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 30, 707, 33170, 203, 3317, 280, 13392, 346, 203, 589, 802, 2029, 26, 1298, 711, 284, 665, 617, 6114, 2740, 1132, 30, 1115, 5321, 711, 291, 415, 2181, 44, 324, 2181, 280, 1149, 26, 1132, 27, 324, 2181, 77, 34, 79, 280, 7650, 81, 9941, 26, 1132, 77, 34, 1130, 324, 415, 6937, 26, 1132, 77, 34, 614, 21763, 750, 27, 461, 18623, 26, 1298, 30, 330, 297, 81, 4770, 370, 3177, 711, 400, 442, 3634, 81, 4770, 26, 1298, 2740, 1132, 30, 1115, 5321, 490, 291, 442, 3420, 2740, 1132, 30, 1115, 5321, 27, 284, 617, 6114, 1114, 8334, 733, 81, 1126, 280, 18623, 26, 1298, 30, 7610, 8334, 733, 81, 1126, 370, 3420, 27, 284, 436, 5601, 328, 2726, 297, 81, 4770, 370, 330, 23800, 81, 2837, 11731, 7831, 291, 415, 19326, 26, 1298, 30, 5601, 711, 324, 39506, 2176, 6114, 30, 5601, 30, 18623, 26, 1298, 30, 5601, 490, 284, 442, 33845, 26, 1298, 27, 2176, 6114, 27, 203, 589, 1015, 2003, 16670, 26, 853, 711, 284, 442, 786, 32, 3227, 40348, 370, 330, 11468, 1814, 3227, 463, 21684, 3228, 1492, 1814, 3227, 440, 13042, 18474, 32147, 203, 669, 2003, 16670, 32, 297, 81, 4770, 280, 2933, 203, 669, 2003, 16670, 280, 802, 2029, 26, 669, 2003, 16670, 27, 203, 589, 5205, 2232, 26, 853, 711, 284, 442, 786, 461, 786, 77, 34, 997, 7607, 346, 474, 786, 77, 35, 10056, 203, 3625, 2232, 32, 297, 81, 4770, 47, 1815, 203, 3625, 2232, 280, 802, 2029, 26, 3625, 2232, 27, 203, 589, 15820, 754, 26, 853, 711, 284, 645, 8527, 32, 2304, 32, 916, 1188, 15820, 754, 284, 442, 15820, 754, 26, 853, 27, 203, 11731, 754, 280, 802, 2029, 26, 11731, 754, 27, 203, 589, 2421, 81, 757, 483, 5986, 26, 853, 711, 284, 645, 8527, 32, 2304, 32, 916, 1188, 2421, 81, 757, 483, 5986, 284, 442, 2421, 81, 757, 483, 5986, 26, 853, 27, 203, 3299, 81, 757, 483, 5986, 32, 297, 81, 4770, 47, 1815, 203, 3299, 81, 757, 483, 5986, 280, 802, 2029, 26, 3299, 81, 757, 483, 5986, 27, 203, 966, 81, 5267, 280, 225, 35, 87, 36, 34, 34, 319, 225, 35, 87, 36, 34, 34, 203, 8095, 81, 5267, 280, 429, 35, 87, 36, 34, 34, 319, 225, 35, 87, 36, 34, 34, 203, 10095 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 2, 2, 2, 2, 4, 5, 6, 5, 6, 4, 4, 0, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 3, 2, 2, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 5, 5, 5, 8, 8, 10, 11, 10, 6, 6, 9, 10, 9, 8, 8, 10, 10, 10, 12, 11, 12, 11, 6, 6, 7, 10, 12, 11, 12, 11, 10, 11, 10, 8, 8, 10, 11, 10, 10, 12, 12, 12, 12, 10, 10, 7, 7, 9, 11, 11, 11, 13, 13, 15, 13, 13, 15, 13, 4, 4, 5, 7, 9, 7, 7, 9, 7, 2, 2, 6, 5, 6, 6, 6, 6, 4, 4, 6, 7, 6, 6, 8, 8, 8, 8, 8, 6, 6, 2, 2, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 5, 7, 8, 7, 7, 7, 5, 5, 9, 10, 9, 9, 9, 9, 11, 12, 11, 11, 11, 2, 2, 3, 6, 7, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 9, 10, 9, 11, 9, 12, 11, 8, 7, 9, 7, 10, 9, 6, 5, 7, 5, 7, 0, 4, 4, 4, 3, 4, 4, 4, 2, 2, 0, 3, 3, 3, 2, 2, 4, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 8, 9, 8, 8, 7, 5, 5, 6, 8, 7, 0, 4, 4, 3, 4, 4, 4, 2, 3, 0, 3, 3, 2, 2, 4, 4, 5, 5, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 5, 3, 3, 5, 2, 2, 3, 5, 5, 6, 5, 0, 3, 3, 2, 2, 4, 4, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 5, 3, 3, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 6, 5, 0, 4, 4, 4, 4, 4, 3, 4, 4, 4, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 5, 5, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 0, 3 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 1, 2, 1, 4, 0, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 4, 4, 9, 9, 0, 0, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 10, 10, 0, 0, 0, 0, 0, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 0, 13, 13, 1, 1, 2, 1, 2, 13, 13, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 19, 19, 1, 2, 1, 2, 19, 19, 0, 1, 2, 1, 4, 0, 0, 0, 4, 4, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 21, 21, 1, 1, 1, 1, 2, 1, 2, 21, 21, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0 ]
[ 1070, 310, 422, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 3142, 32, 1439, 32, 1439, 81, 3142, 1188, 1695, 81, 3142, 203, 1070, 310, 422, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 3142, 32, 1439, 32, 1439, 81, 3142, 1188, 1695, 81, 1986, 203, 1070, 310, 422, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 2122, 32, 2184, 1188, 2075, 203, 1070, 310, 422, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 3893, 32, 24708, 290, 81, 3893, 1188, 310, 44162, 81, 3893, 203, 1070, 310, 422, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 1040, 32, 24708, 290, 81, 1040, 1188, 310, 44162, 81, 1040, 203, 823, 17580, 6286, 26, 1439, 81, 3142, 27, 499, 203, 202, 589, 1156, 1664, 3207, 784, 27, 499, 357, 202, 784, 1114, 751, 2649, 280, 1605, 357, 202, 784, 1114, 1516, 1028, 289, 33989, 280, 225, 34, 357, 202, 784, 1114, 853, 280, 3330, 357, 202, 784, 3667, 81, 998, 280, 225, 34, 203, 202, 50, 2433, 203, 202, 589, 598, 1219, 1203, 26, 784, 27, 499, 357, 202, 305, 2993, 12567, 1245, 3193, 2761, 30, 1510, 15822, 322, 3738, 432, 5216, 372, 2503, 32, 4512, 202, 1318, 2412, 598, 1219, 1203, 101, 884, 2080, 44, 357, 202, 28, 11865, 429, 3367, 5216, 32, 357, 202, 28, 516, 22286, 7143, 12721, 429, 17893, 688, 14190, 600, 11068, 5564, 25945, 544, 322, 2145, 32, 357, 202, 28, 6059, 10508, 429, 17893, 688, 4796, 1205, 2125, 32, 357, 202, 28, 9964, 28758, 429, 17893, 688, 14190, 600, 3960, 887, 304, 2145, 5564, 25945, 32, 357, 202, 28, 7893, 429, 17893, 688, 14190, 1629, 827, 432, 1048, 32, 357, 202, 28, 18236, 429, 17893, 688, 1205, 2125, 328, 322, 12398, 7062, 32, 357, 202, 28, 15088, 429, 17893, 688, 322, 25504, 1395, 3702, 2625, 32, 357, 202, 28, 46623, 726, 429, 3367, 1273, 7461, 31, 2649, 5216, 32, 357, 202, 28, 9399, 429, 3367, 5216, 30, 328, 24488, 9355, 5700, 839, 2039, 23708, 2078, 280, 11865, 30, 516, 22286, 7143, 12721, 30, 6059, 10508, 30, 9964, 28758, 30, 7893, 30, 18236, 30, 15088, 30, 46623, 726, 30, 9399, 32, 357, 202, 2993, 357, 202, 1270, 499, 355, 202, 601, 630, 1114, 751, 2649, 357, 202, 7343, 3268, 619, 484, 44, 355, 202, 13225, 484, 203, 202, 50, 751, 2649, 32, 16527, 203, 202, 589, 598, 1219, 1203, 26, 784, 30, 598, 1219, 1203, 27, 499, 357, 202, 305, 2993, 12567, 1245, 3193, 2761, 30, 1510, 15822, 322, 3738, 432, 5216, 372, 2503, 32, 4512, 202, 1318, 2412, 598, 1219, 1203, 101, 884, 2080, 44, 357, 202, 28, 11865, 429, 3367, 5216, 32, 357, 202, 28, 516, 22286, 7143, 12721, 429, 17893, 688, 14190, 600, 11068, 5564, 25945, 544, 322, 2145, 32, 357, 202, 28, 6059, 10508, 429, 17893, 688, 4796, 1205, 2125, 32, 357, 202, 28, 9964, 28758, 429, 17893, 688, 14190, 600, 3960, 887, 304, 2145, 5564, 25945, 32, 357 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 1, 3, 3, 4, 4, 5, 4, 3, 3, 3, 8, 7, 8, 8, 6, 6, 4, 4, 8, 7, 8, 8, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 8, 6, 6, 7, 2, 2, 4, 5, 3, 3, 4, 4, 5, 5, 5, 6, 5, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 6, 6, 8, 8, 9, 10, 10, 6, 6, 7, 7, 8, 8, 7, 7, 7, 9, 9, 2, 2, 4, 6, 6, 5, 6, 3, 3, 4, 4, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 0, 1, 2, 1, 4, 4, 1, 6, 6, 1, 8, 8, 1, 10, 1, 12, 1, 14, 14, 14, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 4, 1, 6, 6, 1, 8, 8, 1, 10, 1, 12, 1, 14, 14, 14, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 4, 1, 6, 6, 1, 8, 8, 1, 10, 1, 12, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 4, 1, 6, 6, 1, 8, 8, 1, 10, 1, 12, 12, 12, 12, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 1, 6, 6, 1, 8, 8, 1, 10, 1, 12, 12, 12, 12, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 1, 1, 1, 2, 5, 5, 5, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 0, 4, 4, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6436, 619, 2065, 203, 1070, 4377, 4073, 1188, 4082, 203, 1070, 19447, 81, 3792, 1188, 19447, 81, 22879, 101, 30, 19447, 81, 3792, 203, 1070, 7631, 3997, 32, 1163, 1188, 1359, 203, 589, 7596, 81, 18209, 81, 26460, 81, 12443, 26, 290, 297, 30, 18714, 101, 30, 6492, 711, 284, 1118, 297, 280, 1118, 297, 32, 15315, 26, 2356, 32, 1808, 30, 1933, 47, 2700, 27, 284, 415, 2069, 26, 290, 297, 27, 863, 2069, 26, 22879, 101, 711, 291, 4082, 32, 5691, 463, 18209, 17708, 44, 2069, 26, 290, 297, 27, 863, 2069, 26, 22879, 101, 19188, 284, 15974, 81, 21890, 280, 2065, 32, 2767, 26, 22879, 101, 610, 225, 35, 5594, 34, 79, 284, 415, 2069, 26, 1837, 81, 21890, 27, 610, 225, 34, 44, 291, 4082, 32, 5691, 463, 18209, 17708, 44, 2069, 26, 1837, 81, 21890, 27, 610, 225, 34, 683, 284, 538, 81, 21890, 280, 2065, 32, 2767, 26, 22879, 101, 2377, 1359, 32, 30489, 32, 52, 13946, 81, 4733, 8558, 1016, 81, 20148, 5594, 34, 79, 284, 538, 81, 1837, 81, 22879, 101, 280, 19447, 81, 22879, 101, 26, 290, 297, 77, 327, 81, 21890, 30, 499, 614, 1118, 297, 77, 1837, 81, 21890, 30, 499, 1130, 284, 15974, 81, 14794, 280, 538, 81, 1837, 81, 22879, 101, 32, 29957, 26, 5082, 47, 35, 27, 284, 15974, 81, 290, 297, 280, 1118, 297, 77, 1837, 81, 21890, 77, 1837, 81, 14794, 614, 22913, 284, 538, 81, 290, 297, 280, 1118, 297, 77, 327, 81, 21890, 30, 22913, 284, 11420, 280, 2065, 32, 9880, 1162, 290, 297, 32, 3229, 77, 34, 614, 225, 39, 471, 9710, 47, 2356, 32, 1808, 37, 36, 27, 284, 11420, 77, 327, 81, 21890, 30, 225, 34, 79, 280, 6492, 77, 327, 81, 21890, 79, 284, 11420, 77, 327, 81, 21890, 30, 225, 35, 10056, 280, 19447, 81, 3792, 26, 327, 81, 290, 297, 30, 15974, 81, 290, 297, 27, 284, 442, 11420, 203, 589, 1015, 81, 18209, 81, 26460, 81, 12443, 26, 1633, 84, 711, 284, 4082, 32, 1338, 463, 18209, 17708, 44, 1015, 20446, 4376, 17708, 11420, 683, 284, 1201, 2069, 26, 1633, 84, 27, 848, 225, 34, 284, 1201, 330, 1449, 81, 4820, 25, 328, 1118, 34170, 77, 34, 79, 284, 1929, 81, 2242, 280, 2069, 26, 1633, 84, 27, 284, 1929, 81, 4820, 280, 1118, 34170, 77, 34, 5795, 1837, 81, 22879, 101, 5695, 3229, 77, 35, 79, 284, 436, 3960, 81, 91, 328, 2155, 26, 1516, 81, 2242, 711, 291, 1118, 297, 280, 1118, 34170, 77, 449, 81, 91, 5795, 12936, 785, 291, 1769, 81, 22879, 101, 280, 1118, 34170, 77, 449, 81, 91, 5795, 1449, 81, 22879, 101, 785, 291, 1769, 81, 4820, 280, 1118, 34170, 77, 449, 81, 91, 5795, 1449, 81, 4820, 785, 291, 1118, 34170, 77, 449, 81, 91, 5795, 18209, 81, 12443, 785, 280, 7596, 81, 18209, 81, 26460, 81, 12443, 26, 290, 297, 30, 1769, 81, 22879, 101, 30, 1769, 81, 4820, 27, 284, 415, 1359, 32, 30489, 32, 52, 13946, 81, 15644, 27002, 81, 2883, 5762, 1068, 1345, 44 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 4, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 2, 1, 1, 5, 4, 4, 7, 6, 7, 6, 8, 7, 8, 6, 6, 7, 8, 6, 2, 2, 3, 6, 7, 7, 6, 4, 4, 6, 7, 7, 6, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 7, 8, 7, 9, 9, 8, 8, 9, 7, 6, 5, 2, 2, 3, 6, 7, 7, 7, 6, 4, 4, 5, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 7, 8, 7, 9, 9, 8, 8, 10, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 7, 6, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 8, 8, 7, 8, 8, 8, 7, 7, 7, 6, 8, 7, 8, 8, 8, 7, 7, 7, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 5, 5, 4, 4, 6, 5, 7, 7, 7, 6, 7, 7, 7, 6, 5, 2, 2, 5, 5, 5, 4, 4, 6, 5, 6, 6, 6, 5, 5, 2, 2, 4, 4, 6, 7, 6, 10, 10, 9, 10, 8, 9, 8, 7, 8, 7, 6, 7, 9, 8, 9, 9, 9, 6, 2, 2, 5, 6, 6, 6, 5, 5, 6, 5, 4, 4, 5, 6, 6, 6, 5, 2, 2, 5, 6, 6, 6, 5, 5, 7, 6, 4, 4, 6, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 6, 7, 7, 6, 4, 4, 5, 2, 2, 3, 6, 6, 6, 6, 4, 4, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 9, 8, 9, 8, 9, 9, 9, 9, 9, 7, 5, 6, 5, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 6, 5, 3, 3, 7, 6, 6, 9, 8, 9, 9, 9, 8, 9, 9, 4, 4, 7, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 9, 8, 9, 9, 9, 8, 9, 9, 9, 9, 4, 4, 9, 8, 9, 9, 9, 8, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 2, 2, 3, 5, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 3, 1, 1, 3, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 12, 0, 5, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 5, 1, 1, 5, 5, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 5, 5, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 1, 4, 4, 6, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6 ]
[ 465, 11240, 267, 13429, 203, 465, 11240, 267, 13429, 32, 33959, 2371, 661, 203, 465, 526, 87, 203, 1070, 526, 87, 1188, 5008, 203, 465, 7744, 30, 35094, 203, 1070, 298, 16946, 37, 86, 32, 1262, 1188, 4004, 1215, 203, 465, 11240, 267, 13429, 32, 7608, 32, 311, 4464, 203, 465, 11240, 267, 13429, 32, 1530, 203, 465, 11240, 267, 13429, 32, 716, 203, 465, 11240, 267, 13429, 32, 8031, 203, 465, 358, 978, 493, 203, 1070, 3995, 1188, 3995, 203, 589, 3995, 81, 4873, 81, 7101, 2262, 284, 2218, 225, 35, 44, 291, 312, 280, 358, 978, 493, 32, 6353, 1598, 346, 291, 312, 32, 13036, 76, 26, 37, 40, 34, 319, 3995, 1157, 291, 312, 32, 6946, 280, 358, 978, 493, 32, 17062, 26, 35, 39, 319, 3995, 346, 429, 225, 41, 32, 39, 30, 225, 35, 39, 319, 3995, 346, 429, 225, 41, 32, 39, 30, 225, 34, 27, 291, 6761, 11240, 267, 13429, 32, 7608, 32, 4873, 26, 83, 30, 313, 6353, 1598, 657, 203, 589, 804, 81, 7101, 2262, 284, 310, 280, 225, 34, 284, 2218, 225, 35, 44, 291, 6761, 313, 15697, 318, 98, 16946, 20, 474, 596, 26, 96, 27, 203, 1070, 11240, 267, 13429, 32, 8031, 1188, 4376, 36, 86, 30, 9086, 1132, 203, 1070, 526, 87, 32, 40729, 1188, 11638, 40729, 203, 1070, 5034, 1819, 32, 2796, 4820, 1188, 3973, 81, 6270, 81, 3648, 203, 823, 3377, 44, 3097, 203, 823, 1672, 7608, 26, 16640, 32, 1744, 711, 284, 298, 363, 32095, 426, 81, 280, 526, 87, 32, 371, 81, 5609, 440, 33959, 32095, 426, 657, 284, 298, 363, 278, 321, 81, 280, 526, 87, 32, 371, 81, 5609, 440, 33959, 278, 321, 657, 284, 298, 16946, 1566, 81, 280, 526, 87, 32, 371, 81, 5609, 440, 98, 16946, 1566, 657, 284, 281, 35, 280, 526, 87, 32, 7799, 440, 7608, 657, 284, 281, 35, 32, 465, 81, 7174, 81, 55, 10633, 440, 3378, 33, 9236, 657, 284, 312, 280, 358, 978, 493, 32, 6353, 1598, 346, 284, 312, 10439, 225, 34, 32, 36, 39, 284, 312, 32, 6946, 1454, 7197, 42, 30, 225, 38, 36, 30, 225, 34, 27, 284, 281, 35, 32, 669, 81, 1160, 81, 2231, 75, 4989, 26, 648, 2660, 759, 47, 83, 27, 284, 281, 36, 280, 526, 87, 32, 7799, 440, 7608, 657, 284, 281, 36, 32, 465, 81, 7174, 81, 55, 10633, 440, 3378, 33, 98, 16946, 31, 1160, 657, 284, 312, 280, 358, 978, 493, 32, 6353, 1598, 346, 284, 312, 10439, 225, 34, 32, 34, 34, 39, 284, 281, 36, 32, 669, 81, 3260, 81, 2231, 75, 4989, 26, 648, 2660, 759, 47, 83, 30, 4422, 426, 47, 33959, 278, 321, 7912, 284, 281, 36, 32, 465, 81, 7174, 81, 55, 10633, 440, 3378, 33, 98, 16946, 31, 11905, 38, 657, 284, 281, 36, 32, 669, 81, 9611, 440, 11905, 657, 284, 281, 37, 280, 526, 87, 32, 7799, 440, 7608, 657, 284, 281, 37, 32, 465, 81, 7174, 81, 55, 10633, 440, 3378, 33, 98, 16946, 31, 1160, 657, 284, 312, 280, 358 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 3, 3, 3, 6, 6, 9, 9, 8, 9, 9, 8, 4, 4, 7, 8, 8, 7, 9, 9, 9, 8, 8, 10, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 8, 11, 11, 10, 10, 12, 9, 9, 10, 10, 10, 8, 8, 11, 11, 10, 10, 12, 9, 9, 10, 10, 10, 8, 8, 9, 8, 4, 4, 6, 10, 10, 9, 10, 8, 9, 8, 9, 8, 8, 10, 10, 10, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 5, 2, 2, 3, 4, 3, 3, 3, 6, 9, 9, 9, 9, 9, 7, 7, 9, 10, 9, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 8, 8, 2, 2, 5, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 8, 8, 2, 2, 5, 4, 4, 7, 6, 7, 6, 8, 8, 2, 2, 6, 5, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 2, 2, 4, 4, 5, 5, 5, 5, 2, 2, 5, 6, 4, 4, 7, 5, 5, 6, 6, 5, 5, 6, 5, 2, 2, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 6, 7, 5, 2, 2, 5, 4, 4, 7, 6, 7, 6, 8, 8, 2, 2, 6, 5, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 7, 7, 6, 7, 7, 6, 2, 2, 4, 4, 5, 5, 5, 5, 5, 2, 2, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 6, 7, 5, 5, 7, 6, 7, 7, 7, 7, 2, 2, 6, 5, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 6, 5, 6, 6, 6, 5, 7, 7, 2, 2, 5, 4, 4, 7, 6, 7, 6, 8, 8, 2, 2, 6, 5, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 1, 4, 4, 0, 7, 7, 0, 0, 1, 2, 0, 8, 8, 0, 0, 1, 2, 0, 9, 9, 0, 0, 1, 2, 0, 10, 10, 0, 0, 0, 11, 11, 11, 11, 0, 12, 12, 1, 1, 1, 1, 2, 12, 12, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 3, 3, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 3, 3, 2, 2, 2, 1, 1, 5, 1, 3, 3, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 1, 2, 13, 13, 0, 0, 2, 4, 4, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 14, 14, 0, 0, 1, 2, 14, 14, 0, 0, 14, 14, 0, 0, 15, 15, 0, 1, 2, 15, 15, 0, 0, 16, 16, 0, 1, 2, 2, 16, 16, 0, 0, 0, 0, 0, 17, 17, 17, 17, 0, 18, 18, 1, 2, 0, 1, 2, 2, 18, 18, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 2, 2, 3, 3, 2, 2, 5, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 3, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 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, 6989, 1639, 6040, 203, 24021, 2893, 280, 540, 9592, 203, 1559, 203, 1647, 44, 1430, 91, 81, 3560, 81, 1113, 81, 625, 81, 1521, 81, 452, 81, 3560, 81, 625, 203, 4021, 81, 2310, 44, 31580, 1361, 2601, 9058, 432, 25511, 2568, 7231, 16521, 6274, 2568, 30945, 308, 20649, 44, 58, 3437, 69, 30, 35554, 44, 1721, 3437, 35017, 27, 203, 2310, 44, 203, 31, 31580, 1361, 2601, 9058, 432, 25511, 2568, 7231, 16521, 6274, 2568, 30945, 544, 390, 16690, 399, 4246, 36853, 100, 1316, 32, 203, 37100, 44, 203, 31, 636, 44, 14789, 1102, 13136, 10409, 3678, 4121, 334, 3048, 44, 12630, 2471, 2625, 322, 3568, 14789, 1102, 6015, 551, 26, 20649, 44, 58, 3437, 69, 27, 461, 551, 26, 20649, 44, 1721, 3437, 35017, 547, 334, 2552, 44, 1678, 555, 8632, 32, 42759, 32, 508, 33, 2180, 33, 33721, 31, 95, 449, 31, 612, 33, 203, 2116, 44, 203, 31, 45117, 8353, 108, 873, 11931, 1745, 96, 1601, 108, 771, 27, 203, 1648, 81, 11043, 44, 330, 36, 32, 42, 25, 203, 2184, 44, 334, 16521, 81, 3337, 81, 3959, 44, 284, 3048, 44, 284, 429, 886, 636, 432, 322, 25511, 2857, 7231, 16521, 2568, 6274, 32, 284, 827, 44, 596, 284, 2129, 44, 9155, 284, 20664, 44, 428, 16521, 81, 3337, 81, 3959, 81, 426, 1481, 334, 2857, 81, 625, 81, 9003, 44, 284, 3048, 44, 284, 429, 225, 886, 636, 432, 322, 25511, 2857, 7231, 16521, 2568, 6274, 2857, 2601, 9182, 32, 284, 827, 44, 596, 284, 2129, 44, 9155, 284, 20664, 44, 428, 636, 30, 2857, 81, 625, 81, 9003, 81, 426, 1481, 334, 16521, 81, 625, 81, 13216, 44, 284, 3048, 44, 284, 429, 886, 636, 432, 322, 25511, 2857, 7231, 16521, 2568, 6274, 2857, 2601, 2163, 32, 284, 827, 44, 596, 284, 2129, 44, 9155, 284, 20664, 44, 428, 16521, 81, 625, 81, 13216, 81, 426, 1481, 334, 16521, 81, 625, 81, 13216, 81, 2310, 44, 284, 3048, 44, 284, 429, 886, 3048, 372, 5313, 372, 322, 390, 26, 12729, 81, 625, 81, 13216, 547, 284, 827, 44, 596, 334, 645, 81, 625, 44, 284, 3048, 44, 284, 429, 886, 13672, 308, 1070, 31, 3585, 27, 432, 322, 2601, 2155, 2163, 436, 322, 16521, 2857, 2601, 2163, 32, 284, 827, 44, 596, 284, 2129, 44, 9155, 284, 20664, 44, 428, 645, 30, 645, 3437, 30, 645, 81, 625, 81, 3585, 1481, 334, 372, 81, 625, 44, 284, 3048, 44, 284, 429, 886, 943, 308, 452, 31, 3585, 27, 432, 322, 2601, 2155, 2163, 436, 322, 16521, 2857, 2601, 2163, 32, 284, 827, 44, 596, 284, 2129, 44, 9155, 284, 20664, 44, 428, 372, 30, 372, 3437, 30, 372, 81, 625, 81, 3585, 1481, 334, 645, 81, 1113, 81, 625, 44, 284, 3048, 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 ]
[ 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, 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 ]
[ 0, 0, 0, 0, 0, 0, 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, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 540, 9592, 203, 1559, 203, 1647, 44, 12463, 4342, 81, 3210, 4298, 203, 1648, 81, 11043, 44, 330, 36, 32, 42, 25, 203, 4021, 81, 2310, 44, 15091, 25055, 33092, 225, 13136, 10608, 4851, 37806, 203, 2310, 44, 203, 31, 1756, 556, 34428, 3362, 6683, 4203, 18353, 32, 203, 2116, 44, 203, 31, 31168, 9823, 35603, 12641, 11931, 2713, 23535, 8332, 27, 333, 17930, 31, 19441, 31, 5883, 50, 17930, 4219, 32, 508, 48, 203, 2184, 44, 334, 1603, 44, 284, 3048, 44, 284, 429, 2648, 556, 3066, 3362, 2719, 4203, 284, 1244, 44, 5024, 284, 827, 44, 596, 284, 16682, 44, 428, 40118, 30, 5024, 1481, 334, 4203, 44, 284, 3048, 44, 284, 429, 886, 3362, 2719, 4203, 372, 1389, 544, 284, 16682, 44, 428, 1417, 81, 2300, 30, 13714, 81, 2300, 30, 4283, 30, 4759, 81, 2300, 1481, 284, 827, 44, 596, 334, 2350, 81, 1439, 44, 284, 3048, 44, 284, 429, 19009, 2154, 322, 9577, 2350, 438, 15282, 328, 322, 3362, 397, 4345, 32, 1348, 1600, 21852, 432, 24274, 279, 33006, 308, 65, 2337, 27, 688, 16846, 397, 623, 322, 1695, 475, 64, 3879, 461, 322, 9577, 2350, 10220, 101, 372, 6153, 397, 322, 3536, 475, 7978, 103, 3343, 3270, 432, 322, 8351, 32, 886, 2350, 1695, 1395, 397, 6377, 546, 71, 47, 436, 2504, 546, 71, 461, 4609, 546, 2337, 1395, 526, 18604, 810, 47078, 32, 397, 886, 2532, 432, 546, 2337, 438, 8913, 461, 1395, 622, 14324, 328, 4576, 645, 2841, 397, 372, 2091, 32, 284, 429, 11072, 546, 71, 1395, 646, 27419, 225, 40, 38, 7125, 328, 3104, 32, 284, 827, 44, 596, 334, 2350, 44, 284, 3048, 44, 284, 429, 9013, 322, 4942, 3270, 308, 9350, 27, 432, 322, 9577, 3362, 2719, 2350, 397, 6621, 4250, 436, 322, 25055, 33092, 32, 1348, 636, 1395, 526, 2258, 322, 397, 8751, 3270, 432, 322, 2350, 2876, 322, 10220, 47, 1374, 1889, 32, 284, 429, 8751, 34901, 1395, 646, 27419, 225, 40, 38, 7125, 328, 3104, 32, 284, 827, 44, 596, 203, 9971, 81, 10270, 81, 9854, 44, 203, 31, 12463, 4219, 32, 4342, 203, 9592, 203, 1460, 39189, 280, 540, 9592, 203, 31, 636, 44, 6788, 4905, 1417, 81, 2300, 3362, 2719, 4203, 334, 12463, 4342, 81, 3210, 4298, 44, 284, 4203, 44, 1417, 81, 2300, 284, 1603, 44, 40118, 284, 22254, 81, 965, 44, 225, 35, 34, 32, 35, 34, 32, 35, 34, 32, 36, 284, 4125, 81, 1956, 44, 484, 37, 35, 34, 40, 34, 83, 41, 31, 36, 35, 3499, 31, 87, 36, 41, 41, 31, 40, 36, 38, 34, 31, 36, 39, 43, 42, 37, 85, 40, 85, 38, 39, 43, 36, 203, 31, 636, 44, 2648, 1417, 81, 2300, 3362, 2719, 4203, 334, 12463, 4342 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2361, 203, 465, 2322, 203, 465, 316, 203, 465, 16539, 203, 465, 5237, 203, 823, 7502, 1612, 2551, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 711, 284, 630, 32, 1260, 280, 2361, 284, 630, 32, 268, 280, 316, 284, 630, 32, 500, 81, 983, 280, 2322, 32, 983, 284, 630, 32, 2958, 81, 21823, 280, 5237, 32, 21823, 284, 630, 32, 27958, 280, 16539, 284, 630, 32, 2536, 280, 1605, 284, 630, 32, 297, 81, 3375, 1054, 280, 3177, 284, 630, 32, 2342, 280, 7502, 1791, 24562, 334, 665, 24612, 1558, 3839, 26, 784, 30, 803, 81, 2029, 47, 2521, 711, 284, 442, 630, 32, 2536, 334, 665, 24612, 1558, 2028, 3839, 26, 784, 30, 803, 81, 2029, 47, 2521, 711, 284, 442, 630, 32, 2536, 334, 665, 7089, 9651, 26, 784, 711, 284, 442, 630, 32, 2536, 334, 665, 30193, 356, 911, 3325, 1215, 26, 784, 711, 284, 442, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 334, 665, 4841, 974, 26, 784, 30, 4870, 30, 2926, 1057, 100, 71, 7831, 284, 415, 19326, 26, 3607, 30, 330, 12043, 3325, 1215, 7831, 1568, 4870, 280, 4870, 32, 12043, 3325, 1215, 346, 284, 436, 803, 81, 328, 630, 32, 2536, 44, 397, 415, 803, 3133, 3325, 1215, 346, 610, 4870, 44, 291, 442, 3228, 96, 2473, 2524, 26, 761, 3133, 1812, 8041, 1157, 284, 3636, 45338, 30, 313, 2023, 3751, 803, 556, 3362, 44, 6611, 101, 7362, 904, 4870, 203, 823, 7502, 2301, 2551, 26, 1473, 711, 334, 443, 30193, 356, 911, 1394, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 30, 3946, 47, 2521, 30, 1946, 81, 878, 1057, 7831, 397, 630, 32, 1436, 280, 1474, 397, 630, 32, 3028, 280, 3946, 397, 630, 32, 3222, 81, 878, 280, 1946, 81, 878, 284, 665, 1156, 13707, 3207, 784, 711, 397, 442, 630, 32, 1436, 334, 443, 30193, 356, 911, 924, 26, 11584, 356, 911, 1394, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 30, 3946, 47, 2521, 30, 1946, 81, 878, 1057, 7831, 397, 7502, 2301, 2551, 32, 11584, 356, 911, 1394, 3667, 1664, 3207, 784, 30, 1474, 30, 3946, 30, 1946, 81, 878, 27, 397, 630, 32, 681, 280, 330, 731, 25, 334, 443, 30193, 356, 911, 18249, 5711, 26, 11584, 356, 911, 1394, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 30, 3946, 47, 2521, 30, 1946, 81, 878, 1057, 7831, 397, 7502, 2301, 2551, 32, 11584, 356, 911, 1394, 3667, 1664, 3207, 784, 30, 1474, 30, 3946, 30, 1946, 81, 878, 27, 397, 630, 32, 681, 280, 330, 5691, 25, 334, 443, 30193, 356, 911, 11606, 1394, 26, 11584, 356, 911, 1394, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 30, 3946, 47, 2521, 30, 1946, 81, 878, 1057, 7831, 397, 7502, 2301, 2551, 32, 11584, 356, 911, 1394, 3667, 1664, 3207, 784, 30, 1474, 30, 3946, 30, 1946, 81, 878, 27, 397, 630, 32, 681, 280, 330, 9353, 25, 334, 443, 30193, 356, 911, 18249, 1527, 11606, 26, 11584, 356, 911, 1394, 711, 284, 665, 1156, 1664, 3207 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 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, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 7, 7, 7, 3, 3, 5, 7, 8, 7, 7, 9, 9, 9, 9, 5, 5, 8, 8, 10, 11, 11, 11, 10, 4, 4, 5, 6, 5, 5, 6, 7, 5, 5, 5, 7, 11, 11, 11, 10, 8, 8, 7, 7, 7, 9, 14, 13, 12, 11, 14, 14, 14, 14, 13, 4, 4, 5, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 6, 8, 8, 7, 9, 5, 5, 9, 10, 8, 8, 6, 6, 9, 10, 8, 8, 6, 6, 9, 10, 10, 10, 8, 8, 9, 9, 4, 4, 5, 6, 6, 7, 6, 5, 5, 7, 8, 9, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 6, 8, 8, 7, 9, 5, 5, 11, 11, 10, 11, 11, 11, 11, 9, 10, 10, 10, 9, 9, 9, 9, 9, 9, 10, 10, 9, 6, 6, 9, 10, 8, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 6, 8, 8, 7, 9, 5, 5, 11, 11, 10, 11, 11, 11, 11, 9, 10, 10, 10, 9, 9, 9, 9, 9, 9, 10, 10, 9, 6, 6, 9, 10, 8, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 6, 6, 7, 6, 6, 6, 6, 7, 8, 6, 6, 8, 8, 7, 9, 5, 5, 11, 11, 10, 11, 11, 11, 11, 9, 10, 10, 10, 9, 9, 9, 9, 9, 9, 10, 10, 9, 6, 6, 9, 10, 8, 8, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 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, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 1, 1, 0, 1, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 1, 2, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 1, 2, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 5, 1, 2, 1, 2, 2, 2, 2, 5, 1, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 1, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 7, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 4, 4, 0, 2, 0, 0, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1 ]
[ 505, 13411, 505, 280, 313, 1617, 33, 3483, 33, 69, 8407, 33, 23857, 518, 32, 978, 2427, 31, 36, 42, 39, 40, 44, 36, 40, 41, 40, 44, 86, 36, 37, 84, 41, 83, 36, 88, 38, 39, 87, 42, 225, 36, 34, 35, 36, 33, 34, 42, 33, 34, 39, 225, 35, 39, 44, 37, 42, 44, 36, 42, 485, 672, 97, 20, 203, 505, 1427, 505, 280, 1524, 23857, 2265, 203, 51, 3279, 32095, 4736, 372, 2385, 24173, 461, 3980, 1464, 432, 322, 15279, 203, 2810, 688, 10297, 4438, 3320, 328, 4117, 32, 203, 4391, 432, 458, 7896, 22416, 688, 16283, 4438, 526, 38384, 372, 3320, 3623, 203, 2810, 328, 312, 14488, 3352, 32, 225, 9540, 438, 600, 2280, 432, 29996, 312, 1411, 203, 6939, 3217, 312, 15279, 786, 30, 623, 1289, 1509, 3377, 44, 284, 17491, 2265, 81, 28511, 280, 1605, 20716, 588, 488, 5943, 1649, 284, 17491, 2265, 81, 28511, 32, 1689, 26, 69, 8407, 32, 23857, 518, 32, 1534, 882, 463, 3986, 2847, 261, 588, 488, 5943, 1649, 284, 665, 9214, 26, 784, 711, 291, 1596, 44, 34390, 588, 488, 5943, 1649, 324, 442, 630, 1114, 19118, 710, 3986, 785, 9316, 588, 488, 5943, 1649, 291, 2940, 25085, 44, 19827, 588, 488, 5943, 1649, 324, 3097, 30635, 588, 488, 5943, 1649, 291, 1056, 280, 630, 32, 7924, 81, 3986, 81, 853, 346, 291, 630, 1114, 19118, 710, 3986, 785, 280, 1056, 12992, 588, 488, 5943, 1649, 291, 442, 1056, 203, 10921, 438, 600, 2280, 432, 29996, 312, 1411, 688, 1098, 442, 3449, 2078, 203, 7873, 544, 1591, 556, 1829, 1509, 4209, 44, 284, 665, 617, 1632, 81, 678, 26, 784, 30, 2793, 711, 12740, 588, 488, 5943, 1649, 291, 442, 2793, 24885, 588, 488, 5943, 1649, 284, 17491, 2265, 81, 28511, 32, 1689, 26, 69, 8407, 32, 23857, 518, 32, 1534, 7167, 463, 1632, 370, 617, 1632, 81, 678, 490, 588, 488, 5943, 1649, 284, 665, 5697, 26, 784, 30, 2793, 711, 291, 17491, 81, 678, 280, 2793, 18008, 588, 488, 5943, 1649, 291, 1596, 44, 34390, 588, 488, 5943, 1649, 324, 17491, 81, 2665, 280, 630, 1114, 19118, 710, 1632, 785, 7693, 588, 488, 5943, 1649, 291, 2940, 25085, 44, 19827, 588, 488, 5943, 1649, 324, 17491, 81, 2665, 280, 2149, 20716, 588, 488, 5943, 1649, 324, 630, 1114, 19118, 710, 2665, 785, 280, 17491, 81, 2665, 7188, 588, 488, 5943, 1649, 291, 813, 44, 37662, 588, 488, 5943, 1649, 324, 1596, 44, 30635, 588, 488, 5943, 1649, 400, 442, 17491, 81, 2665, 77, 19118, 81, 678, 79, 7188, 588, 488, 5943, 1649, 324, 2940, 25085, 44, 15921, 588, 488, 5943, 1649, 400, 3097, 24801, 588, 488, 5943, 1649, 291, 1056, 280, 630, 32, 7924, 81, 1632, 81, 853, 26, 2669, 27, 291, 17491, 81, 2665, 77, 19118, 81, 678, 79, 280, 1056, 9316, 588, 488, 5943, 1649, 291, 442, 1056, 203, 1076, 1591, 2260, 996, 312, 2086, 12156, 16047, 1741, 458, 3844, 432, 8130, 328, 1169, 322, 4438, 203, 1170, 27445, 561, 2091, 1991, 458, 2297, 30, 1273, 996, 4763, 13639, 12008, 645, 688, 821 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 328, 491, 107, 32, 3592, 1188, 35396, 203, 1070, 328, 491, 107, 32, 3592, 1188, 1230, 1298, 203, 1070, 328, 491, 107, 32, 3592, 32, 8304, 1188, 319, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 18792, 203, 1070, 13625, 1188, 33953, 203, 1070, 1933, 1188, 28667, 203, 1070, 296, 290, 28427, 3557, 1188, 296, 290, 28427, 3557, 30, 506, 13258, 20663, 7167, 203, 1070, 4118, 2304, 32, 9769, 1188, 2761, 81, 2951, 30, 11665, 81, 853, 30, 9804, 81, 853, 203, 1070, 4118, 2304, 32, 7594, 1188, 622, 81, 2543, 81, 426, 30, 622, 81, 2543, 81, 878, 30, 622, 81, 7594, 81, 878, 203, 1070, 4118, 2304, 32, 7594, 1188, 622, 81, 7594, 30, 622, 81, 7001, 81, 2543, 30, 5551, 81, 2543, 30, 3345, 81, 2543, 203, 1070, 4118, 2304, 32, 7594, 1188, 1593, 4065, 81, 852, 38920, 203, 1070, 485, 297, 81, 4519, 32, 11452, 1188, 8073, 1777, 203, 1070, 485, 297, 81, 4519, 32, 4519, 81, 3922, 1188, 13528, 2825, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 23742, 81, 2319, 30, 23742, 81, 2319, 81, 20799, 30, 23742, 81, 2319, 81, 47161, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 23742, 81, 2319, 81, 13412, 30, 23742, 81, 2319, 81, 13412, 81, 12185, 30, 23742, 81, 2319, 81, 13412, 81, 3285, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 44726, 940, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 14678, 3821, 69, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 9753, 6140, 1392, 81, 13946, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 18131, 940, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 35294, 21682, 81, 7321, 2739, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 5578, 37602, 81, 15302, 30, 5578, 37602, 81, 2378, 722, 2347, 30, 5578, 37602, 81, 10115, 758, 726, 30, 5578, 37602, 81, 30521, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 498, 5425, 527, 81, 8703, 69, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 32406, 81, 41899, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 559, 31821, 81, 1724, 2739, 30, 559, 31821, 81, 1589, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 14199, 15156, 81, 23171, 69, 30, 12259, 1653, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 2179, 81, 106, 8478, 30, 622, 81, 1536, 81, 979, 81, 11476, 30, 622, 81, 1536, 81, 979, 81, 11476, 81, 1113, 203, 1070, 485, 297, 81, 4519, 32, 2304, 1188, 3185, 81, 11476, 81, 668, 30, 3185, 81, 2433, 30, 1974, 81, 11476, 81, 668, 30, 1974, 81, 2433, 203, 40957, 280, 18623, 26, 25931, 30, 330, 40957, 683, 203, 800, 81, 2516, 280, 18623, 26, 25931, 30, 330, 800, 81, 2516, 683, 203, 25931, 81, 21332, 280, 18623, 26, 25931, 30, 330, 21332, 683, 203, 106, 3585, 280, 18623, 26, 25931, 81, 21332, 30, 330, 106, 3585, 683, 203, 14859, 81, 7789, 69, 280, 2726, 5108, 81, 4097, 370, 330, 5891, 81, 4097, 683, 203, 27162, 81, 2383, 4238, 280, 308, 27162, 69, 81, 15302, 30, 5578, 37602, 81, 2378, 722, 2347, 30, 5578, 37602, 81, 10115, 758, 726, 30, 5578, 37602, 81, 30521, 27, 203, 27162, 81, 15630, 280, 296, 290, 28427, 3557, 1371, 284, 5578, 37602, 81, 15302 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 4, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 4, 4, 6, 6, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 4, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 5, 5, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 1, 2, 8, 8, 0, 0, 9, 9, 0, 0, 0, 1, 2, 2, 2, 9, 9, 0, 0, 10, 10, 0, 0, 0, 1, 2, 10, 10, 0, 0, 10, 10, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 1, 2, 11, 11, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 12, 12, 0, 0, 0, 1, 2, 12, 12, 0, 0, 13, 13, 0, 0, 0, 1, 2, 13, 13, 0, 0, 0, 14, 14, 0, 0, 0, 1, 2, 14, 14, 0, 0, 0, 0, 0, 15, 15, 0, 0, 0, 1, 2, 15, 15, 0, 0, 16, 16, 0, 0, 0, 1, 2, 16, 16, 0, 0, 0, 0, 0, 17, 17, 0, 0, 0, 1, 2, 17, 17, 0, 0, 0, 17, 17, 0, 0, 0, 0, 0, 17, 17, 0, 0, 0, 0, 0, 17, 17, 0, 0, 0, 0, 18, 18, 0, 0, 0, 1, 2, 18, 18, 0, 0, 0, 0, 0, 0, 19, 19, 0, 0, 0, 1, 2, 19, 19, 0, 0, 0, 20, 20, 0, 0, 0, 1, 2, 20, 20, 0, 0, 0, 0, 20, 20, 0, 0, 0, 0, 21, 21, 0, 0, 0, 1, 2, 21, 21, 0, 0, 0, 0, 21, 21, 0, 0, 22, 22, 0, 0, 0, 1, 2, 22, 22, 0, 0, 0, 22, 22, 0, 0, 0, 0, 0, 0, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 23, 0, 0, 0, 1, 2, 23, 23, 0, 0, 0, 0, 23, 23, 0, 0, 23, 23, 0, 0, 0, 0, 23, 23, 0, 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, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 2, 2, 7, 7, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 ]
[ 465, 2322, 203, 500, 32, 12757, 32, 37329, 440, 28350, 5289, 65, 81, 24222, 81, 9856, 392, 313, 10930, 5817, 32, 3550, 657, 203, 1070, 8527, 32, 1262, 32, 46674, 1188, 622, 81, 46674, 81, 3164, 203, 3164, 280, 622, 81, 46674, 81, 3164, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 5, 4, 5, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 803, 4923, 203, 465, 485, 2983, 32, 2282, 203, 465, 485, 2983, 32, 37918, 11030, 81, 761, 203, 465, 485, 2983, 32, 37918, 81, 46756, 203, 465, 19493, 203, 465, 2322, 203, 465, 5237, 203, 465, 45301, 983, 203, 465, 316, 203, 465, 22977, 203, 465, 16539, 203, 465, 29590, 203, 81, 38989, 81, 869, 280, 330, 5451, 15415, 1757, 81, 3197, 25, 203, 81, 4190, 81, 38989, 81, 869, 280, 330, 24463, 81, 5451, 15415, 1757, 81, 3197, 25, 203, 81, 5248, 81, 1903, 81, 8478, 81, 869, 280, 330, 20017, 81, 17903, 81, 47442, 25, 203, 7101, 81, 1536, 81, 9578, 280, 301, 334, 330, 35629, 2147, 81, 9857, 950, 2550, 334, 330, 35629, 2147, 81, 28056, 950, 2550, 334, 330, 14673, 81, 7655, 81, 9857, 950, 330, 1356, 370, 334, 330, 24463, 81, 7655, 81, 9857, 950, 330, 1356, 370, 334, 330, 14673, 81, 7655, 81, 28056, 950, 5608, 83, 370, 334, 330, 24463, 81, 7655, 81, 28056, 950, 5608, 27032, 370, 334, 330, 5451, 15415, 1757, 81, 3197, 950, 330, 2945, 23, 101, 9905, 904, 617, 38989, 81, 869, 30, 334, 330, 2636, 950, 330, 4229, 370, 334, 330, 16024, 81, 3197, 950, 330, 2945, 26301, 70, 81, 16024, 69, 81, 3197, 7243, 334, 330, 7655, 81, 3197, 950, 330, 2945, 26301, 70, 81, 16024, 69, 81, 3197, 7243, 334, 330, 25641, 81, 10840, 81, 7789, 950, 330, 2945, 10840, 81, 3539, 81, 6177, 7243, 334, 330, 25641, 81, 10840, 81, 2399, 950, 330, 2945, 10840, 81, 3539, 81, 28056, 7243, 334, 330, 25641, 81, 10840, 81, 2474, 950, 330, 2945, 10840, 81, 3539, 81, 2474, 7243, 334, 330, 25641, 81, 10840, 81, 4065, 950, 330, 2945, 10840, 81, 3539, 81, 4065, 7243, 334, 330, 25641, 81, 10840, 81, 3197, 2474, 950, 330, 2945, 10840, 81, 3539, 81, 3197, 2474, 7243, 334, 330, 24463, 81, 5451, 15415, 1757, 81, 3197, 950, 330, 2945, 23, 101, 9905, 904, 617, 4190, 81, 38989, 81, 869, 30, 334, 330, 35684, 81, 2474, 950, 330, 2945, 35684, 7243, 203, 111, 203, 7101, 81, 12187, 81, 983, 81, 15485, 280, 428, 334, 330, 4229, 81, 8366, 81, 5379, 370, 334, 330, 4229, 81, 2846, 81, 5078, 370, 334, 330, 4229, 81, 2846, 81, 2055, 81, 5078, 370, 203, 79, 203, 7101, 81, 12187, 81, 3780, 81, 5983, 81, 3494, 280, 428, 334, 330, 3945, 81, 725, 81, 6728, 370, 334, 330, 3945, 81, 6589, 81, 725, 370, 334, 330, 3945, 81, 6589, 3773, 81, 6728, 370, 334, 330, 4229, 81, 8366, 370, 334, 330, 4229, 81, 8366, 81, 5379, 370, 334, 330, 4229, 81, 2846, 81, 5078, 370, 334, 330, 4229, 81, 2846, 81, 2055, 81, 5078, 370, 334, 330, 4229, 81, 106, 28998, 81, 8366, 370, 334, 330, 37918, 81, 1297, 81, 9680, 101, 81, 858, 81, 10340, 370, 203, 79, 203, 7101, 81, 7615, 81, 11250, 81, 979, 81, 7004, 280, 428, 334, 330, 4229, 81, 8366, 81, 5379, 370, 334, 330, 4229, 81, 2846, 81, 5078, 370, 334, 330, 4229, 81, 2846, 81, 2055, 81, 5078, 370, 203, 79 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 2, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 4, 3, 3, 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, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 7, 7, 7, 7, 5, 5, 6, 6, 6, 3, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 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, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 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, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 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, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 3, 3, 0, 1, 2, 2, 2, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 2, 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, 2, 2, 2, 2, 2, 2, 1, 2, 15, 1, 2, 2, 2, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 21, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 23, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 25, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 27, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 29, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 31, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 33, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 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, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 823, 1224, 48834, 762, 373, 1564, 44, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 42004, 30, 3193, 30, 2935, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 24693, 280, 42004, 291, 630, 32, 2544, 280, 2935, 16189, 630, 32, 2649, 280, 3193, 291, 630, 32, 93, 48834, 4167, 373, 272, 280, 2149, 16189, 630, 32, 4915, 280, 1605, 10065, 665, 1015, 81, 93, 48834, 762, 373, 26, 784, 30, 831, 48834, 762, 373, 30, 42004, 711, 291, 630, 32, 93, 48834, 4167, 373, 272, 77, 93, 48834, 762, 373, 79, 280, 42004, 284, 665, 1015, 81, 2661, 26, 784, 30, 2838, 711, 291, 630, 32, 4915, 32, 1689, 26, 2661, 27, 284, 665, 7216, 81, 2649, 81, 2544, 26, 784, 30, 3193, 711, 291, 415, 630, 32, 2649, 333, 3193, 44, 324, 442, 630, 291, 813, 44, 324, 442, 630, 32, 2544, 32, 5729, 81, 2649, 81, 2544, 26, 2649, 27, 284, 665, 2290, 26, 784, 30, 636, 711, 291, 415, 630, 32, 426, 610, 636, 44, 324, 442, 630, 291, 4348, 630, 32, 4915, 44, 324, 436, 2838, 328, 630, 32, 4915, 44, 400, 1056, 280, 2838, 32, 1809, 26, 426, 27, 400, 415, 1056, 438, 646, 1665, 44, 528, 442, 1056, 291, 813, 44, 324, 442, 1665, 284, 665, 4131, 81, 302, 81, 4700, 26, 784, 30, 4870, 711, 291, 1188, 11412, 291, 3380, 8028, 47, 1769, 26, 784, 32, 668, 81, 13756, 7486, 490, 291, 31732, 668, 280, 630, 32, 6849, 81, 668, 25619, 3380, 8028, 27, 291, 623, 2156, 26, 3607, 30, 313, 12108, 657, 619, 11412, 81, 761, 44, 324, 7272, 280, 11412, 32, 7572, 26, 4700, 81, 761, 30, 19713, 12483, 683, 324, 3338, 280, 1605, 324, 436, 2698, 328, 2155, 26, 35, 30, 308, 1657, 26, 5505, 668, 77, 34, 1130, 31, 36, 4165, 36, 29, 35, 711, 400, 3338, 32, 8233, 4901, 1363, 9118, 466, 26, 643, 471, 330, 24693, 31, 1363, 9118, 466, 26, 643, 14829, 324, 3338, 32, 8233, 4901, 5505, 370, 330, 24693, 31, 5505, 3490, 324, 7272, 32, 7572, 441, 26, 2111, 27, 324, 436, 1628, 328, 31732, 668, 44, 400, 7272, 32, 7572, 441, 26, 928, 27, 284, 665, 11913, 81, 668, 26, 784, 30, 31732, 668, 30, 3380, 8028, 711, 291, 415, 630, 32, 4915, 44, 324, 436, 2838, 328, 630, 32, 4915, 44, 400, 2838, 32, 6849, 81, 668, 26, 5505, 668, 30, 3380, 8028, 27, 291, 415, 630, 32, 93, 48834, 4167, 373, 272, 44, 324, 31732, 1363, 280, 630, 324, 2350, 668, 280, 1605, 324, 2218, 31732, 1363, 32, 2544, 44, 400, 2350, 668, 32, 3215, 26, 34, 30, 5505, 1363, 32, 2544, 32, 426, 27, 400, 2350, 668, 32, 3215, 26, 35, 30, 5505, 1363, 32, 2544, 32, 24693, 27, 400, 31732, 1363, 280, 31732, 1363, 32, 2544, 324, 2350, 668, 32, 1689, 26, 784, 32, 426, 27, 324, 2350, 668, 32, 1689, 26, 784, 32, 24693, 27, 324, 436, 31732, 30, 42004, 328, 630, 32, 93, 48834, 4167, 373, 272, 32, 40957, 2262, 400, 31732, 668, 81, 643, 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, 2, 2, 2, 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, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 4, 3, 3, 8, 9, 9, 9, 9, 9, 7, 8, 8, 8, 8, 7, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 5, 5, 6, 6, 6, 8, 11, 12, 10, 11, 11, 11, 11, 11, 10, 11, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 5, 5, 6, 7, 8, 6, 6, 6, 8, 8, 8, 9, 10, 8, 8, 8, 11, 11, 13, 14, 13, 14, 13, 9, 9, 10, 11, 11, 11, 10, 10, 10, 12, 5, 5, 6, 6, 6, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 7, 6, 6, 8, 11, 10, 11, 11, 11, 10, 10, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 8, 9, 8, 4, 4, 5, 10, 11, 10, 10, 12, 12, 8, 8, 10, 10, 5, 5, 5, 8, 8, 10, 11, 10, 11, 11, 11, 10, 10, 11, 13, 6, 6, 8, 8, 6, 6, 7, 7, 7, 9, 10, 9, 9, 15, 15, 17, 17, 16, 17, 16, 13, 14, 12, 12, 10, 11, 9, 7, 7, 11, 12, 11, 15, 15, 15, 15, 16, 15, 12, 15, 15, 15, 15, 15, 15, 16, 15, 6, 6, 9, 10, 9, 12, 12, 10, 12, 12, 12, 12, 6, 6, 9, 10, 10, 9, 10, 9, 6, 6, 7, 7, 7, 8, 7, 7, 7, 11, 12, 12, 11, 12, 11, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 6, 7, 5, 5, 5, 7, 7, 7, 8, 9, 7, 7, 7, 11, 12, 12, 12, 11, 12, 12, 11, 11, 12, 11, 4, 4, 5, 6, 7, 7, 7, 7, 7, 5, 5, 5, 9, 8, 8, 6, 6, 9, 8, 8, 6, 6, 7, 9, 8, 9, 7, 7, 7, 12, 11, 12, 11, 12, 11, 14, 14, 13, 14, 12, 13, 11, 8, 8, 12, 11, 12, 11, 12, 11, 14, 14, 13, 14, 12, 13, 11, 8, 8, 11, 10, 10, 12, 11, 12, 6, 6, 10, 9, 10, 9, 11, 10, 11, 9, 6, 6, 10, 9, 10, 9, 11, 10, 11, 9, 6, 6, 7, 8, 8, 7, 7, 10, 11, 11, 11, 11, 11, 9, 10, 9, 7, 7, 11, 11, 11, 10 ]
[ 0, 0, 1, 1, 1, 1, 0, 0, 0, 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, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 4, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 4, 1, 2, 4, 4, 4, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 5, 5, 5, 0, 3, 3, 5, 1, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 4, 4, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 3, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 3, 3, 0, 0, 3, 3, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 3, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 3, 3, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 1, 1, 1, 3, 3, 5, 5, 5, 3, 5, 5, 5, 0, 2, 2, 1, 1, 1, 3, 3, 6, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 6, 6, 0, 1, 2, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 3, 2, 1, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 3, 2, 1, 3, 3, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 5, 1, 1, 5, 5, 0, 2, 2, 2, 2, 2, 0, 2, 1, 5, 5, 0, 0, 0, 0 ]
[ 465, 5237, 30, 7138, 203, 465, 34487, 1356, 203, 1070, 34487, 1356, 202, 465, 7412, 2084, 203, 1070, 34487, 1356, 202, 465, 24849, 203, 1070, 34487, 1356, 202, 465, 551, 1212, 203, 1070, 34487, 1356, 202, 465, 18711, 203, 325, 34487, 1356, 3667, 1648, 505, 2377, 313, 37, 32, 34, 32, 34, 20, 499, 203, 202, 1070, 34487, 1356, 202, 465, 6466, 203, 202, 1070, 34487, 1356, 202, 465, 32665, 225, 619, 8752, 81, 18685, 203, 202, 1070, 34487, 1356, 202, 465, 559, 22127, 619, 8752, 81, 100, 10982, 203, 1824, 499, 203, 202, 1070, 34487, 1356, 32, 3406, 202, 465, 6466, 203, 202, 1070, 34487, 1356, 32, 68, 22127, 202, 465, 559, 22127, 3020, 619, 8752, 81, 100, 10982, 203, 202, 1070, 34487, 1356, 32, 32688, 202, 202, 465, 32665, 3020, 225, 619, 8752, 81, 18685, 203, 1070, 638, 2035, 225, 202, 465, 11212, 5971, 30, 9821, 2424, 30, 1795, 81, 452, 81, 2035, 81, 4189, 30, 32681, 81, 35, 81, 34, 81, 2808, 30, 1205, 81, 19654, 81, 18685, 203, 1070, 638, 202, 202, 465, 8752, 81, 16810, 30, 8752, 81, 2452, 728, 30, 8752, 81, 18685, 83, 203, 1070, 638, 4222, 202, 465, 32377, 1852, 81, 924, 30, 32377, 1852, 81, 5711, 30, 32377, 1852, 81, 1120, 203, 1070, 638, 3792, 32, 16432, 1188, 48025, 81, 38217, 203, 2425, 81, 3455, 280, 18711, 440, 525, 555, 43226, 32, 1088, 33, 3455, 33, 13086, 29594, 203, 2425, 81, 384, 280, 18711, 440, 525, 555, 1499, 32, 105, 37, 32, 1088, 33, 36, 34, 34, 40, 33, 525, 21, 657, 203, 823, 28864, 3406, 499, 203, 202, 589, 1156, 1664, 3207, 784, 27, 499, 357, 202, 784, 32, 2255, 280, 6466, 346, 203, 202, 589, 1015, 81, 47588, 26, 784, 30, 3124, 30, 2663, 81, 823, 30, 3099, 81, 823, 30, 1619, 30, 1541, 27, 499, 357, 202, 784, 32, 2255, 32, 2539, 440, 37934, 265, 874, 392, 8752, 81, 3455, 27, 357, 202, 784, 32, 2255, 32, 2539, 440, 978, 18685, 83, 392, 225, 8752, 81, 2452, 728, 27, 357, 202, 784, 32, 2255, 32, 2539, 440, 18685, 392, 262, 8752, 81, 18685, 27, 357, 202, 784, 32, 2255, 32, 2539, 440, 18685, 83, 392, 264, 8752, 81, 18685, 83, 27, 357, 202, 784, 32, 2255, 32, 2539, 440, 384, 392, 647, 8752, 81, 384, 27, 357, 202, 784, 32, 2255, 32, 2539, 440, 16810, 392, 262, 8752, 81, 16810, 27, 357, 202, 1270, 499, 355, 202, 297, 81, 1819, 81, 800, 280, 6937, 26, 1819, 30, 1695, 800, 27, 357, 202, 7343, 499, 355, 202, 297, 81, 1819, 81, 800, 280, 6937, 26, 1819, 30, 596, 27, 357, 202, 84, 1251, 280, 551, 1212, 346, 357, 202, 325, 1541, 863, 1665, 44, 355, 202, 1270, 499, 603, 202, 2620, 81, 2076, 280, 7185, 383, 1994, 6611, 101, 785, 904, 101, 20, 904, 308, 1251, 32, 30538, 30, 3124, 27, 355, 202, 7343, 499, 603, 202, 2620, 81, 2076, 280, 7185, 383, 1994, 6611, 101, 785, 904, 101, 20, 904, 308, 1251, 30, 3124, 27, 357, 202, 1824, 499, 355 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 1, 0, 1, 1, 3, 1, 1, 1, 3, 0, 1, 1, 3, 1, 1, 1, 0, 1, 1, 4, 3, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 1, 1, 1, 3, 3, 5, 3, 3, 3, 2, 2, 3, 3, 5, 3, 3, 3, 4, 4, 4, 5, 5, 2, 2, 3, 3, 5, 3, 3, 3, 6, 4, 4, 5, 5, 5, 1, 2, 2, 2, 2, 4, 4, 6, 5, 6, 4, 4, 4, 3, 3, 4, 4, 6, 5, 6, 6, 4, 4, 4, 7, 7, 5, 5, 6, 6, 6, 3, 3, 4, 4, 6, 5, 6, 4, 4, 4, 4, 7, 5, 5, 5, 6, 6, 0, 1, 1, 4, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 1, 1, 1, 3, 3, 4, 4, 5, 4, 3, 3, 3, 8, 7, 8, 6, 6, 8, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 9, 8, 9, 7, 8, 7, 9, 9, 9, 9, 7, 8, 8, 7, 4, 4, 9, 8, 9, 7, 8, 7, 9, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 9, 8, 9, 7, 8, 7, 9, 9, 7, 7, 8, 8, 7, 4, 4, 9, 8, 9, 7, 8, 7, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 9, 8, 9, 7, 8, 7, 9, 9, 7, 7, 8, 8, 7, 4, 4, 9, 8, 9, 7, 8, 7, 9, 9, 7, 7, 8, 8, 7, 4, 4, 5, 5, 5, 5, 9, 9, 9, 9, 9, 8, 8, 10, 11, 10, 10, 11, 10, 5, 5, 6, 6, 6, 6, 10, 10, 10, 10, 10, 9, 9, 11, 12, 11, 11, 11, 4, 4, 7, 7, 6, 6, 8, 8, 4, 4, 5, 5, 6, 6, 5, 5, 5, 7, 7, 7, 7, 11, 11, 11, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 14, 13, 14, 12, 12, 12, 7, 7, 8, 8, 8, 8, 12, 12, 12, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 13, 13, 13, 5, 5, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 0, 4, 4, 0, 4, 4, 4, 0, 0, 5, 5, 0, 5, 5, 5, 0, 6, 6, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 6, 0, 0, 0, 0, 0, 0, 3, 3, 1, 1, 0, 1, 1, 1, 3, 3, 3, 2, 2, 3, 3, 2, 2, 0, 2, 2, 2, 0, 3, 3, 2, 2, 2, 6, 4, 4, 4, 4, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 3, 3, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 3, 3, 3, 2, 2, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 10, 10, 0, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 13, 13, 13, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 3, 3, 1, 4, 4, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 6, 6, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 8, 8, 1, 1, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 8, 8, 4, 4, 4 ]
[ 1070, 1984, 2208, 1188, 1984, 2208, 203, 1070, 11685, 1188, 17161, 203, 1070, 10381, 93, 39583, 32, 605, 25078, 1188, 19344, 203, 1070, 10381, 93, 39583, 32, 525, 1188, 438, 81, 2225, 81, 2111, 203, 1070, 10381, 93, 39583, 32, 46674, 1188, 2032, 4672, 203, 1070, 10381, 93, 39583, 1114, 8524, 1188, 802, 81, 2516, 203, 823, 624, 9763, 59, 5711, 26, 5711, 711, 203, 823, 4808, 5711, 26, 5711, 711, 203, 589, 1505, 81, 800, 26, 1819, 30, 2830, 30, 4138, 2649, 47, 37, 711, 284, 415, 827, 26, 2067, 27, 438, 646, 596, 44, 291, 17161, 26, 3951, 14819, 5711, 15339, 101, 7171, 810, 858, 100, 2052, 30, 5424, 904, 101, 25, 904, 656, 308, 1819, 30, 2830, 3667, 823, 29215, 426, 505, 2610, 203, 823, 19008, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3443, 711, 291, 630, 1114, 2238, 280, 3443, 284, 665, 1491, 26, 784, 30, 319, 1132, 711, 291, 415, 2069, 26, 1132, 27, 610, 225, 34, 44, 324, 17161, 26, 3951, 14819, 5711, 463, 46674, 1957, 646, 28764, 600, 21008, 10029, 544, 322, 330, 6035, 330, 1131, 3443, 30, 14966, 9018, 7399, 372, 330, 6035, 330, 46674, 32, 1131, 32, 850, 346, 11135, 32, 225, 1336, 599, 299, 13602, 330, 6035, 330, 17302, 7152, 442, 645, 458, 1476, 41365, 353, 4138, 2649, 47, 36, 27, 291, 4348, 2069, 26, 1132, 27, 863, 225, 35, 44, 324, 17161, 26, 3951, 14819, 5711, 463, 23844, 5075, 3377, 5403, 372, 341, 25673, 32, 1131, 32, 850, 346, 1425, 353, 4138, 2649, 47, 36, 27, 291, 442, 630, 1114, 2238, 32, 850, 2740, 1132, 27, 284, 665, 1491, 928, 26, 784, 30, 319, 1132, 711, 291, 415, 2069, 26, 1132, 27, 610, 225, 34, 44, 324, 17161, 26, 3951, 14819, 5711, 463, 17838, 372, 341, 25673, 32, 1131, 32, 25637, 346, 2876, 4209, 25, 6035, 330, 884, 11135, 32, 225, 4417, 341, 25673, 32, 1131, 32, 850, 346, 4174, 41365, 353, 4138, 2649, 47, 36, 27, 291, 4348, 2069, 26, 1132, 27, 610, 225, 35, 44, 324, 17161, 26, 3951, 14819, 5711, 463, 46674, 32, 1131, 32, 25637, 346, 1597, 3823, 623, 312, 1334, 14230, 32, 330, 6035, 330, 3951, 14819, 1957, 646, 2193, 458, 30, 21092, 561, 6945, 101, 3304, 330, 6035, 330, 267, 1169, 12350, 13602, 41365, 353, 4138, 2649, 47, 36, 27, 291, 813, 44, 324, 3636, 12678, 463, 23844, 5075, 4209, 5403, 372, 341, 25673, 32, 1131, 32, 25637, 346, 683, 291, 442, 630, 1114, 2238, 32, 25637, 2740, 1132, 27, 284, 665, 1156, 1731, 3207, 784, 711, 291, 1596, 44, 324, 442, 3850, 26, 784, 1114, 2238, 27, 291, 2940, 12678, 44, 324, 17161, 26, 3951, 14819, 5711, 463, 46674, 32, 1131, 438, 646, 27182, 41365, 4138, 2649, 47, 36, 27, 324, 442, 3850, 20268, 284, 665, 4230, 26, 784, 711, 291, 17161, 26, 3951, 14819, 5711, 463, 3164, 8777, 322, 1509, 3443, 19, 1425, 1802, 4138, 2649, 47, 36, 27, 291, 630, 1114, 2238, 32, 2679, 346, 203, 823, 3081, 1862, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 6, 7, 6, 4, 4, 4, 3, 3, 3, 7, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 12, 11, 11, 13, 14, 14, 13, 13, 11, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 4, 3, 3, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 9, 11, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 9, 9, 11, 10, 11, 9, 5, 5, 6, 9, 10, 9, 7, 7, 8, 6, 6, 6, 10, 12, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 12, 11, 12, 10, 4, 4, 5, 8, 9, 7, 8, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 9, 11, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 9, 9, 11, 10, 11, 9, 5, 5, 6, 9, 10, 9, 7, 7, 8, 6, 6, 6, 10, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 15, 15, 15, 13, 13, 15, 15, 15, 15, 15, 10, 10, 12, 11, 12, 10, 5, 5, 6, 6, 6, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 8, 9, 7, 8, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 9, 11, 10, 11, 9, 5, 5, 6, 6, 6, 6, 10, 12, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 10, 12, 11, 12, 10, 7, 7, 8, 10, 2, 2, 3, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 1, 1, 2, 1, 2, 0, 7, 7, 1, 2, 1, 2, 0, 8, 8, 1, 1, 2, 1, 2, 2, 2, 2, 0, 5, 2, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 9, 9, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 0, 0, 4, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 2, 1, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 0, 0, 4, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 0, 0, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 3, 3, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 2, 1, 3, 3, 1, 1, 4, 4, 4, 2, 1, 2, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 3, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 2304, 1188, 15798, 203, 1070, 8527, 32, 2957, 1188, 4070, 30, 2680, 2963, 6760, 30, 3649, 81, 3550, 203, 823, 9923, 4470, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 3550, 81, 2560, 26, 784, 711, 291, 4070, 32, 3765, 280, 330, 858, 25, 291, 630, 32, 5299, 463, 858, 370, 4070, 32, 3765, 27, 291, 3555, 4070, 32, 3765, 291, 630, 32, 23895, 26, 2212, 924, 30, 18623, 30, 4070, 30, 330, 3765, 683, 284, 665, 894, 81, 3550, 81, 2560, 81, 21111, 26, 784, 711, 291, 630, 32, 23895, 26, 18082, 30, 3555, 2437, 30, 4070, 30, 7610, 21111, 683, 203, 823, 1565, 12489, 28444, 2413, 4470, 26, 18986, 32, 7233, 711, 284, 4070, 81, 1647, 280, 4070, 284, 665, 14553, 26, 784, 711, 291, 630, 1114, 7318, 81, 3435, 81, 965, 280, 630, 32, 3550, 81, 1647, 32, 21512, 81, 2413, 284, 665, 28921, 26, 784, 711, 291, 630, 32, 3550, 81, 1647, 32, 21512, 81, 2413, 280, 630, 1114, 7318, 81, 3435, 81, 965, 284, 665, 894, 81, 5006, 26, 784, 711, 291, 630, 32, 3550, 81, 1647, 32, 21512, 81, 2413, 280, 4247, 291, 630, 32, 5299, 22869, 630, 32, 3550, 81, 1647, 32, 21512, 81, 2413, 27, 284, 665, 894, 81, 416, 81, 16227, 26, 784, 711, 291, 630, 32, 3550, 81, 1647, 32, 21512, 81, 2413, 280, 3056, 3986, 7404, 291, 630, 32, 5299, 3247, 3986, 13093, 630, 32, 3550, 81, 1647, 32, 21512, 81, 2413, 27, 291, 630, 32, 3550, 81, 1647, 32, 21512, 81, 2413, 280, 330, 525, 555, 3435, 32, 3986, 32, 508, 7404, 291, 630, 32, 5299, 463, 525, 555, 3435, 32, 3986, 32, 508, 13093, 656, 630, 32, 3550, 81, 1647, 32, 21512, 81, 2413, 27, 284, 665, 894, 81, 1347, 81, 416, 81, 16227, 26, 784, 711, 291, 1188, 11685, 291, 11685, 32, 2029, 19991, 463, 731, 370, 330, 2797, 739, 30, 27513, 7849, 81, 2413, 2298, 943, 623, 312, 29659, 370, 28855, 685, 22359, 5711, 27, 291, 665, 39506, 81, 3550, 26, 3550, 81, 1647, 30, 5601, 30, 786, 711, 324, 39506, 26, 3550, 81, 1647, 30, 5601, 30, 786, 27, 291, 630, 32, 23895, 26, 10708, 685, 22359, 5711, 30, 39506, 81, 3550, 30, 3775, 630, 32, 3550, 81, 1647, 30, 330, 21512, 81, 2413, 370, 3056, 3986, 683, 291, 630, 32, 23895, 26, 10708, 685, 22359, 5711, 30, 39506, 81, 3550, 30, 3775, 630, 32, 3550, 81, 1647, 30, 330, 21512, 81, 2413, 370, 3775, 330, 525, 555, 3435, 32, 3986, 32, 508, 683, 284, 665, 894, 81, 2627, 81, 16227, 26, 784, 711, 291, 630, 32, 3550, 81, 1647, 32, 21512, 81, 2413, 280, 3056, 270, 38650, 48637, 291, 630, 32, 5299, 3247, 270, 38650, 306, 370, 630, 32, 3550, 81, 1647, 32, 21512, 81, 2413, 27, 291, 630, 32, 3550, 81, 1647, 32, 21512, 81, 2413, 280, 330, 525, 555, 3435, 32, 3986, 32, 508, 33, 270, 38650, 48637, 291, 630, 32, 5299, 463, 525, 555, 3435, 32, 3986, 32, 508, 33, 270 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 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, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 5, 6, 7, 4, 4, 7, 8, 7, 8, 8, 7, 7, 7, 7, 7, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 8, 7, 7, 7, 7, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 8, 9, 9, 9, 7, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 7, 9, 9, 7, 9, 10, 10, 10, 8, 9, 9, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 10, 10, 10, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 4, 4, 7, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 8, 7, 4, 4, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 9, 10, 10, 10, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 9, 9, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 8, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 9, 10, 10, 10, 8, 9, 9, 9, 7, 4, 4, 8, 9, 9, 9, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 1, 1, 0, 2, 2, 2, 3, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 3, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 4, 4, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 5, 1, 4, 4, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 5, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 6989, 1639, 6040, 203, 24021, 2893, 280, 540, 9592, 203, 1559, 203, 1647, 44, 1430, 91, 81, 3337, 81, 6038, 81, 12729, 81, 3959, 203, 4021, 81, 2310, 44, 31580, 26790, 2568, 7231, 16521, 23300, 308, 20649, 44, 6067, 3437, 66, 27, 203, 2310, 44, 203, 31, 31580, 26790, 2568, 7231, 16521, 23300, 544, 390, 16690, 399, 4246, 36853, 100, 1316, 32, 203, 1648, 81, 11043, 44, 330, 36, 32, 39, 25, 203, 2184, 44, 334, 16521, 81, 3337, 81, 3959, 44, 284, 3048, 44, 284, 429, 886, 636, 432, 322, 25511, 2857, 7231, 16521, 2568, 6274, 32, 284, 827, 44, 596, 284, 2129, 44, 9155, 284, 20664, 44, 428, 636, 30, 16521, 81, 3337, 81, 3959, 81, 426, 1481, 334, 3048, 44, 284, 3048, 44, 284, 429, 5591, 436, 322, 25511, 2857, 7231, 16521, 2568, 6274, 32, 284, 827, 44, 596, 284, 20664, 44, 428, 42004, 1481, 334, 1603, 44, 284, 3048, 44, 284, 429, 4417, 390, 26, 2689, 27, 556, 390, 26, 3596, 304, 27, 436, 7165, 556, 15255, 32, 284, 429, 4417, 390, 26, 1217, 27, 436, 14821, 600, 1300, 556, 4609, 4684, 32, 284, 827, 44, 596, 284, 16682, 44, 428, 40118, 30, 5024, 30, 2467, 1481, 284, 1244, 44, 5024, 203, 9971, 81, 10270, 81, 9854, 44, 1430, 91, 203, 37100, 44, 203, 31, 636, 44, 14789, 1102, 13136, 10409, 3678, 4121, 334, 3048, 44, 12630, 2471, 2625, 322, 3568, 14789, 1102, 443, 551, 26, 20649, 44, 6067, 3437, 66, 547, 334, 2552, 44, 1678, 555, 8632, 32, 42759, 32, 508, 33, 2180, 33, 33721, 31, 95, 449, 31, 612, 33, 203, 2116, 44, 203, 31, 551, 1945, 97, 6403, 817, 2144, 11931, 839, 311, 542, 7963, 2144, 27, 203, 9592, 203, 1460, 39189, 280, 540, 9592, 203, 31, 636, 44, 2222, 312, 537, 16521, 81, 3337, 81, 3959, 334, 1430, 91, 81, 3337, 81, 6038, 81, 12729, 81, 3959, 44, 284, 3408, 44, 1845, 295, 284, 952, 44, 5605, 284, 3882, 44, 4185, 7792, 4049, 284, 16521, 81, 3337, 81, 3959, 44, 16521, 410, 777, 10555, 284, 3048, 44, 225, 16521, 410, 777, 10555, 3048, 284, 1603, 44, 5024, 334, 11165, 81, 452, 44, 18339, 203, 31, 636, 44, 6478, 312, 16521, 81, 3337, 81, 3959, 334, 1430, 91, 81, 3337, 81, 6038, 81, 12729, 81, 3959, 44, 284, 3408, 44, 1845, 295, 284, 952, 44, 5605, 284, 3882, 44, 4185, 7792, 4049, 284, 16521, 81, 3337, 81, 3959, 44, 16521, 410, 777, 10555, 284, 1603, 44, 40118, 334, 11165, 81, 452, 44, 18339, 203, 31, 636, 44, 6478, 1169, 16521, 81, 3337, 81, 16845, 334, 1430, 91, 81, 3337, 81, 6038, 81, 12729, 81, 3959, 44, 284, 3408, 44, 1845, 295, 284, 952, 44, 5605, 284, 3882, 44, 4185, 7792, 4049, 284, 1603, 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, 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, 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 ]
[ 0, 0, 0, 0, 0, 0, 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, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 17615, 32, 4373, 1188, 1695, 30, 23049, 30, 20996, 203, 1070, 8527, 32, 858, 1188, 7155, 7233, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 2684, 81, 3550, 203, 823, 3456, 3135, 10755, 16602, 1006, 26, 5291, 7233, 711, 284, 477, 2433, 284, 665, 3420, 26, 784, 711, 291, 645, 8527, 32, 1262, 32, 17615, 32, 4373, 32, 18780, 1188, 1505, 81, 2848, 81, 9534, 81, 11850, 291, 442, 1505, 81, 2848, 81, 9534, 81, 11850, 284, 477, 7106, 81, 3550, 26, 291, 44736, 81, 31784, 81, 34757, 47, 2700, 30, 291, 21835, 45421, 81, 47406, 18278, 11025, 32, 12023, 32, 18780, 3439, 291, 488, 779, 36290, 35291, 81, 36850, 6020, 1130, 284, 665, 894, 81, 2848, 81, 9534, 81, 11850, 81, 1793, 81, 18132, 81, 725, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 1298, 26, 2521, 471, 428, 18780, 32, 73, 34, 35, 34, 1130, 284, 477, 7106, 81, 3550, 26, 291, 44736, 81, 31784, 81, 34757, 47, 2700, 30, 291, 21835, 45421, 81, 47406, 33792, 291, 488, 779, 36290, 35291, 81, 36850, 18278, 11025, 32, 12023, 32, 18780, 32, 11202, 32, 3135, 11063, 6890, 284, 665, 894, 81, 2848, 81, 9534, 81, 11850, 81, 1793, 81, 11202, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 1298, 26, 2521, 471, 428, 18780, 32, 73, 34, 35, 35, 1130, 284, 477, 7106, 81, 3550, 26, 291, 44736, 81, 31784, 81, 34757, 47, 2700, 30, 291, 21835, 45421, 81, 47406, 18278, 11025, 32, 12023, 32, 18780, 3439, 291, 488, 779, 36290, 35291, 81, 36850, 18278, 11025, 32, 12023, 32, 18780, 32, 11202, 32, 3135, 11063, 6890, 284, 665, 894, 81, 2848, 81, 9534, 81, 11850, 81, 16361, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 1298, 26, 2521, 471, 428, 18780, 32, 73, 34, 35, 36, 1130, 284, 477, 7106, 81, 3550, 26, 291, 44736, 81, 31784, 81, 34757, 47, 1815, 30, 291, 21835, 45421, 81, 47406, 18278, 11025, 32, 12023, 32, 18780, 3439, 291, 488, 779, 36290, 35291, 81, 36850, 18278, 11025, 32, 12023, 32, 18780, 32, 11202, 32, 3135, 11063, 6890, 284, 665, 894, 81, 2848, 81, 9534, 81, 11850, 81, 1508, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 1298, 26, 2521, 471, 11544, 203, 823, 3456, 3135, 10755, 2217, 4495, 1006, 26, 5291, 7233, 711, 284, 477, 2433, 284, 665, 3420, 26, 784, 711, 291, 645, 8527, 32, 1262, 32, 17615, 32, 4373, 32, 18780, 1188, 1505, 81, 2848, 81, 9534, 81, 525, 2585, 291, 442, 1505, 81, 2848, 81, 9534, 81, 525, 2585, 284, 477, 7106, 81, 3550, 26, 291, 44736, 81, 31784, 81, 5068, 13008, 47, 2700, 30, 291, 21835, 45421, 81, 47406, 18278, 11025, 32, 12023, 32, 18780, 3439, 291, 488, 779, 36290, 35291, 81, 36850, 6020, 1130, 284, 665, 894, 81, 2848, 81, 9534, 81, 525, 2585, 81, 1793, 81, 18132, 81, 725, 26, 784, 711, 291, 630, 32, 5299, 26, 784, 32, 1298, 26, 2521, 471, 428, 18780, 32, 73, 34, 35, 37 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 7, 8, 7, 8, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 7, 7, 7, 7, 7, 7, 2, 2, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 8, 8, 8, 7, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 11, 10, 11, 10, 11, 10, 8, 11, 10, 11, 11, 11, 11, 9, 2, 2, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 8, 7, 6, 6, 8, 8, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 11, 10, 11, 10, 11, 10, 8, 11, 10, 11, 11, 11, 11, 9, 2, 2, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 11, 10, 11, 10, 11, 10, 8, 11, 10, 11, 11, 11, 11, 9, 2, 2, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 11, 10, 11, 10, 11, 10, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 7, 8, 7, 8, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 2, 2, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 8, 7, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 8, 8, 8, 7, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 11, 10, 11, 10, 11, 10, 8, 11, 10, 11, 11, 11, 11 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 4, 1, 6, 1, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 3, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 3, 1, 1, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 3, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 3, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 2, 5, 5, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 4, 1, 6, 1, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2 ]
[ 1070, 1673, 2304, 32, 1262, 1188, 4705, 30, 15363, 203, 1070, 2322, 1188, 45479, 203, 1070, 1673, 2304, 32, 2501, 32, 1832, 81, 407, 261, 1188, 1968, 81, 407, 261, 619, 617, 1832, 81, 407, 203, 1070, 1673, 2304, 32, 2501, 32, 3789, 81, 1356, 1188, 2443, 81, 1356, 619, 617, 3789, 81, 1356, 203, 823, 1968, 81, 407, 2176, 1832, 81, 407, 711, 284, 665, 34207, 81, 2184, 26, 784, 711, 291, 617, 1832, 81, 407, 32, 28598, 81, 2184, 26, 784, 27, 291, 630, 32, 1832, 81, 1356, 225, 280, 1968, 81, 1356, 291, 630, 32, 1832, 81, 1433, 280, 1968, 81, 2868, 203, 823, 2443, 81, 1356, 2176, 3789, 81, 1356, 711, 284, 665, 34207, 81, 2184, 26, 784, 711, 291, 617, 3789, 81, 1356, 32, 28598, 81, 2184, 26, 784, 27, 291, 630, 32, 1832, 81, 1515, 280, 1968, 81, 1356, 203, 85, 4545, 280, 45479, 463, 20766, 370, 31248, 2998, 346, 203, 85, 4545, 1454, 2107, 31, 29048, 31, 5848, 31, 7909, 299, 370, 6470, 32158, 31, 1821, 31, 8352, 370, 6470, 32158, 31, 12085, 31, 5609, 25, 1481, 203, 1832, 81, 1356, 280, 45479, 463, 22033, 81, 2399, 9492, 81, 7655, 683, 203, 1832, 81, 2868, 280, 45479, 463, 22033, 81, 2399, 9492, 81, 11779, 683, 203, 1356, 5707, 1567, 280, 45479, 463, 7655, 13187, 8055, 683, 203, 1356, 1237, 93, 2548, 280, 45479, 463, 7655, 2554, 683, 203, 407, 81, 11250, 280, 428, 88, 32, 7201, 346, 436, 296, 328, 803, 463, 1040, 33, 2958, 31, 407, 31, 11250, 683, 603, 202, 325, 2069, 26, 88, 32, 7201, 1157, 848, 225, 34, 461, 296, 77, 34, 79, 863, 5307, 785, 203, 14460, 280, 15363, 463, 14460, 370, 9137, 10849, 280, 1447, 81, 11250, 30, 9137, 2305, 81, 15615, 280, 2107, 1040, 33, 1017, 2188, 9137, 6717, 81, 6993, 81, 1132, 280, 281, 4545, 30, 9137, 6717, 81, 5740, 280, 428, 1356, 5707, 1567, 30, 5034, 1237, 93, 2548, 614, 353, 829, 203, 5522, 26, 426, 1057, 14460, 370, 397, 1503, 1057, 34, 32, 35, 370, 397, 3048, 1057, 3041, 623, 322, 7946, 43714, 22699, 370, 397, 4081, 1057, 17963, 279, 1409, 7074, 695, 3463, 409, 3110, 315, 370, 397, 4081, 81, 1935, 1057, 36039, 50, 23693, 32, 508, 370, 397, 3541, 1057, 21181, 104, 36, 370, 397, 1984, 1057, 525, 555, 14460, 32, 6419, 32, 6474, 32, 1088, 370, 397, 1447, 81, 3477, 6020, 14460, 614, 397, 4774, 823, 12516, 1832, 81, 407, 950, 1968, 81, 407, 30, 330, 3789, 81, 1356, 950, 2443, 81, 1356, 1748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 1, 4, 4, 2, 2, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 8, 8, 8, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 8, 8, 8, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 0, 3, 3, 2, 2, 6, 8, 8, 6, 5, 4, 0, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 4, 6, 6, 6, 0, 3, 3, 3, 2, 2, 6, 5, 6, 5, 3, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 4, 8, 11, 10, 11, 10, 6, 6, 7, 5, 5, 7, 8, 7, 6, 6, 8, 0, 3, 2, 2, 4, 6, 6, 4, 4, 5, 5, 6, 6, 4, 4, 4, 6, 6, 5, 5, 8, 8, 8, 8, 4, 4, 6, 6, 6, 6, 5, 5, 6, 4, 4, 4, 6, 6, 5, 5, 7, 7, 7, 6, 6, 7, 7, 7, 6, 4, 4, 0, 3, 3, 5, 4, 6, 6, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 5, 3, 3, 5, 4, 8, 8, 8, 8, 6, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 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 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 2, 2, 2, 0, 0, 3, 3, 3, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 3, 3, 2, 2, 2, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 5, 5, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 3, 3, 2, 2, 1, 1, 1, 0, 0, 5, 5, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 7, 7, 2, 1, 1, 1, 0, 0, 9, 9, 1, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 9, 1, 1, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 2, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 15, 1, 2, 1, 1, 0, 17, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 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 ]
[ 109, 284, 330, 426, 950, 330, 435, 16564, 13136, 370, 284, 330, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 3153, 950, 330, 1254, 12326, 4093, 370, 284, 330, 2310, 950, 1524, 203, 1318, 33102, 438, 372, 1159, 312, 6153, 2297, 372, 11856, 1169, 10052, 316, 16564, 32, 203, 6467, 511, 203, 1318, 2412, 18542, 1395, 526, 17767, 810, 458, 2297, 44, 203, 5877, 6753, 284, 319, 2222, 33, 2546, 10052, 328, 322, 316, 21856, 284, 319, 4831, 536, 436, 12994, 101, 284, 319, 701, 2086, 11636, 308, 8416, 461, 33, 271, 6683, 27, 284, 319, 624, 846, 13448, 10243, 284, 319, 902, 5210, 32785, 367, 3639, 284, 319, 13907, 436, 322, 13634, 39807, 461, 436, 322, 1158, 9697, 203, 37616, 284, 330, 2116, 950, 330, 2961, 527, 66, 19217, 370, 284, 330, 27263, 950, 2107, 8087, 98, 370, 330, 16842, 370, 330, 3524, 2188, 284, 330, 12787, 950, 330, 641, 555, 1499, 32, 431, 604, 32, 508, 33, 1637, 33, 1588, 12326, 4093, 370, 284, 330, 605, 950, 428, 291, 330, 4373, 33, 476, 32, 1160, 32, 3560, 32, 4700, 370, 291, 330, 4373, 33, 8087, 98, 81, 34041, 81, 4373, 32, 2593, 370, 291, 330, 8087, 98, 81, 34041, 81, 605, 32, 2593, 370, 291, 330, 8087, 98, 81, 34041, 81, 7508, 32, 2593, 370, 291, 330, 21880, 33, 8087, 98, 81, 34041, 81, 8151, 81, 1071, 32, 2593, 370, 291, 330, 21880, 33, 8087, 98, 81, 34041, 81, 2682, 81, 10969, 81, 1071, 32, 2593, 370, 291, 330, 8087, 98, 81, 34041, 81, 1071, 32, 2593, 370, 291, 330, 8087, 98, 81, 34041, 81, 9874, 32, 2593, 370, 291, 330, 8087, 98, 81, 34041, 81, 3734, 32, 2593, 370, 291, 330, 4338, 33, 3734, 81, 8087, 1001, 5210, 1174, 32, 2593, 370, 284, 2505, 284, 330, 6380, 950, 2107, 8087, 98, 81, 34041, 81, 6380, 32, 7070, 2188, 284, 330, 858, 950, 2107, 858, 33, 8087, 98, 81, 34041, 81, 3707, 32, 7070, 370, 1802, 330, 858, 33, 858, 81, 8087, 98, 81, 34041, 81, 4108, 5817, 32, 7070, 370, 1802, 330, 858, 33, 858, 81, 8087, 98, 81, 34041, 81, 84, 38, 5817, 32, 7070, 370, 1802, 330, 858, 33, 858, 81, 8087, 98, 81, 34041, 81, 5483, 5817, 32, 7070, 370, 1802, 330, 858, 33, 858, 81, 8087, 98, 81, 34041, 81, 8151, 32, 7070, 370, 1802, 330, 858, 33, 858, 81, 8087, 98, 81, 34041, 81, 12920, 32, 7070, 370, 284, 2505, 284, 330, 3789, 444, 950, 2933, 30, 284, 330, 2837, 81, 3789, 950, 3177, 30, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 6, 4, 6, 6, 4, 6, 6, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 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, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 3, 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, 4, 4, 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, 4, 4, 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, 4, 4, 2, 2, 5, 5, 5, 3, 2, 2, 2, 5, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 1, 1, 1, 2, 0, 0, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 9, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 15, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 21, 0, 0, 0, 1, 1, 1, 2, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 13625, 1188, 33953, 203, 1070, 1619, 1356, 1188, 13734, 203, 465, 29590, 203, 465, 2361, 203, 465, 3363, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 1270, 44, 284, 1188, 323, 6506, 203, 7343, 29986, 44, 284, 323, 6506, 280, 1665, 203, 1270, 44, 284, 1188, 3619, 7471, 73, 365, 203, 7343, 29986, 44, 284, 3619, 7471, 73, 365, 280, 1665, 203, 1070, 4377, 1262, 32, 800, 4156, 1188, 3185, 81, 3419, 203, 1070, 4377, 1262, 32, 282, 33506, 1188, 1638, 44682, 373, 203, 1070, 638, 14331, 1188, 358, 1405, 4547, 1099, 30, 551, 2210, 81, 29054, 30, 570, 1893, 81, 29054, 30, 632, 43313, 81, 9648, 1827, 81, 29054, 203, 505, 464, 505, 280, 428, 284, 313, 850, 81, 1274, 392, 284, 313, 850, 81, 16129, 15335, 392, 284, 313, 850, 81, 3007, 782, 392, 284, 313, 850, 81, 98, 3044, 1965, 392, 284, 313, 850, 81, 28821, 392, 284, 313, 944, 81, 31692, 392, 284, 313, 850, 81, 7380, 105, 365, 392, 284, 313, 452, 81, 7380, 105, 365, 392, 284, 313, 850, 81, 7380, 3011, 392, 284, 313, 452, 81, 7380, 3011, 392, 284, 313, 850, 81, 42792, 392, 284, 313, 452, 81, 42792, 392, 203, 79, 203, 589, 1491, 81, 1274, 26, 13425, 81, 271, 30, 5365, 47, 2521, 30, 1115, 5321, 711, 284, 10306, 32, 37329, 440, 12595, 392, 2706, 102, 657, 284, 10306, 32, 37329, 440, 2111, 392, 1665, 27, 284, 415, 6937, 26, 13425, 81, 271, 30, 596, 27, 461, 16765, 81, 271, 32, 20643, 5791, 6680, 10280, 291, 10306, 32, 37329, 440, 22078, 392, 313, 13621, 657, 284, 415, 5365, 438, 646, 1665, 44, 291, 1596, 44, 324, 10306, 32, 37329, 440, 4243, 392, 358, 1405, 4547, 1099, 77, 3968, 1130, 291, 2940, 308, 953, 924, 30, 12678, 711, 324, 415, 6937, 26, 3968, 30, 596, 711, 400, 3636, 10091, 440, 70, 6004, 5365, 646, 2431, 44, 30267, 2296, 1643, 26, 3968, 490, 324, 10306, 32, 37329, 440, 4243, 392, 5365, 27, 284, 442, 6121, 32, 850, 81, 4700, 26, 13425, 81, 271, 30, 1115, 5321, 27, 203, 589, 3185, 81, 1837, 88, 81, 5843, 26, 10407, 30, 21265, 81, 12595, 347, 12614, 1623, 81, 12595, 347, 13959, 15358, 1594, 19069, 370, 1115, 5321, 711, 284, 1623, 81, 7047, 280, 11758, 32, 466, 32, 2998, 26, 1094, 81, 12595, 27, 284, 1623, 81, 7047, 280, 1623, 81, 7047, 32, 4699, 26, 291, 9254, 3946, 44, 428, 1094, 32, 7201, 922, 2998, 26, 12465, 81, 12595, 27, 436, 1623, 328, 3946, 79, 284, 829, 284, 16469, 13000, 280, 15358, 1594, 474, 313, 313, 284, 1623, 81, 7047, 280, 1623, 81, 7047, 32, 4699, 26, 291, 9254, 3946, 44, 428, 324, 1992, 26, 5962, 816, 44, 816, 32, 7201, 26, 7201, 13000, 471, 1623, 27, 436, 1623, 328, 3946, 415, 2069, 26, 1094, 27, 610, 225, 36, 291, 1481, 284, 829, 284, 21265, 81, 11541, 280, 1623, 81, 7047, 32, 4699, 26, 2665, 27, 284, 442, 6121, 32, 11364, 32, 1070, 81, 11541, 26, 12465, 81, 11541, 30, 1115, 5321, 27, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 1, 1, 3, 5, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 0, 1, 1, 4, 3, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 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, 3, 3, 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, 3, 3, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 4, 2, 2, 4, 2, 1, 1, 5, 6, 5, 7, 7, 5, 8, 7, 2, 2, 5, 6, 5, 7, 7, 5, 5, 2, 2, 3, 6, 7, 7, 7, 6, 6, 6, 4, 4, 7, 7, 6, 7, 6, 8, 8, 3, 3, 7, 8, 7, 9, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 9, 10, 9, 11, 11, 9, 11, 11, 11, 10, 11, 10, 5, 5, 6, 8, 8, 7, 7, 7, 6, 6, 8, 10, 11, 10, 10, 10, 8, 8, 10, 12, 16, 16, 16, 16, 16, 16, 16, 16, 15, 14, 15, 14, 7, 7, 10, 11, 10, 12, 12, 10, 10, 2, 2, 3, 5, 6, 6, 6, 5, 6, 6, 6, 5, 5, 7, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 5, 2, 4, 4, 3, 5, 2, 4, 3, 5, 2, 4, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 6, 6, 7, 7, 7, 13, 12, 13, 12, 11, 10, 11, 11, 11, 10, 8, 9, 9, 9, 8, 6, 6, 2, 2, 5, 4, 4, 6, 5, 5, 7, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 6, 6, 7, 7, 7, 8, 8, 10, 11, 11, 11, 11, 13, 14, 13, 14, 14, 13, 10, 10, 8, 9, 9, 9, 8, 9, 12, 13, 12, 10, 10, 11, 8, 8, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 6, 7, 6, 2, 2, 3, 6, 7, 5, 6, 6, 6, 5, 6, 6, 6, 5, 5, 7, 5, 0 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 1, 0, 6, 6, 1, 1, 0, 7, 7, 7, 7, 0, 0, 7, 3, 3, 3, 3, 3, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 2, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 2, 10, 10, 0, 0, 0, 11, 11, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 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, 2, 2, 2, 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, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 13, 13, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 2, 13, 13, 0, 2, 1, 1, 2, 1, 0, 2, 4, 4, 0, 2, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 3, 2, 3, 0, 0, 3, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 2, 1, 1, 4, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 14, 14, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 1, 2, 0, 0, 5, 1, 2, 0, 7, 2, 2, 1, 2, 14, 14, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 3, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 5, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 35381, 1188, 4361, 203, 823, 17825, 1658, 1241, 26, 8538, 32, 1241, 711, 284, 23795, 81, 15916, 11980, 280, 308, 291, 2726, 370, 330, 36, 32, 624, 18777, 570, 5091, 940, 21471, 1179, 1425, 291, 2726, 19352, 370, 330, 19352, 1425, 291, 2726, 13599, 4798, 370, 330, 13599, 4798, 1425, 291, 2726, 20667, 370, 330, 20667, 1425, 291, 2726, 5065, 370, 330, 5065, 1425, 291, 2726, 96, 515, 1708, 469, 370, 330, 96, 515, 1708, 469, 1425, 291, 2726, 44633, 11093, 370, 330, 44633, 11093, 1425, 291, 2726, 19266, 370, 330, 19266, 1425, 284, 829, 284, 1778, 280, 10548, 32, 1658, 1176, 346, 284, 665, 5063, 81, 893, 26, 784, 711, 291, 706, 280, 630, 32, 32854, 81, 605, 710, 893, 785, 291, 3960, 280, 4361, 32, 1676, 26, 605, 27, 291, 3960, 81, 12696, 280, 4361, 32, 1676, 26, 3550, 32, 14673, 81, 7789, 474, 330, 1275, 33, 12696, 33, 12696, 31, 13599, 4798, 32, 1645, 683, 291, 1861, 30, 2384, 280, 3960, 32, 891, 291, 415, 1861, 333, 225, 37, 34, 34, 556, 2384, 333, 225, 36, 39, 34, 44, 324, 3636, 10548, 32, 24536, 440, 13367, 1778, 1861, 461, 2384, 884, 313, 2476, 313, 40, 34, 34, 816, 225, 39, 34, 34, 657, 291, 415, 3960, 32, 1643, 646, 328, 2726, 30671, 370, 330, 17189, 370, 330, 57, 2952, 7831, 324, 3636, 10548, 32, 24536, 440, 974, 827, 646, 5420, 32, 5294, 7623, 312, 971, 7649, 30, 33919, 556, 46481, 7144, 291, 3960, 280, 3960, 32, 8510, 1162, 40, 34, 34, 30, 225, 39, 34, 34, 490, 291, 1596, 44, 324, 415, 3960, 32, 2816, 863, 330, 16781, 950, 400, 3960, 280, 3960, 32, 5954, 463, 16781, 683, 291, 2940, 44, 324, 3636, 10548, 32, 24536, 440, 1658, 2926, 646, 5420, 7144, 291, 1596, 44, 324, 3960, 81, 541, 280, 4361, 32, 4893, 81, 27686, 26, 449, 30, 3960, 81, 12696, 27, 291, 2940, 44, 324, 3636, 10548, 32, 24536, 440, 25796, 30, 458, 1778, 438, 646, 13022, 7144, 291, 442, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 2, 2, 4, 4, 6, 7, 7, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 7, 9, 9, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 8, 11, 10, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 7, 6, 6, 7, 8, 4, 4, 5, 7, 7, 8, 8, 8, 6, 6, 7, 7, 8, 8, 8, 5, 5, 5, 7, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 7, 8, 6, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 9, 5, 5, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 9, 9, 10, 10, 10, 9, 4, 4, 5, 5, 5, 7, 9, 10, 8, 8, 10, 10, 7, 7, 10, 10, 12, 13, 12, 14, 14, 5, 5, 6, 6, 6, 8, 10, 11, 10, 12, 12, 12, 12, 12, 4, 4, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 10, 11, 11, 10, 5, 5, 6, 6, 6, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 2, 5, 1, 1, 2, 2, 2, 1, 2, 7, 1, 2, 2, 2, 1, 2, 9, 1, 2, 2, 2, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 13, 1, 1, 2, 2, 2, 1, 2, 15, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 7, 7, 7, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 7, 7, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 8, 8, 8, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 8, 8, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 9270, 32, 48906, 32, 407, 1188, 3082, 203, 1070, 9270, 32, 48906, 32, 407, 32, 1199, 1188, 10214, 1160, 203, 465, 5741, 30, 537, 30, 2322, 30, 316, 30, 5237, 203, 1439, 81, 983, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 203, 371, 81, 10529, 81, 426, 280, 9254, 443, 81, 426, 44, 316, 32, 1113, 463, 7728, 44823, 6020, 83, 31, 108, 33192, 51, 31, 76, 1130, 110, 2009, 51, 31, 76, 729, 49, 2513, 51, 31, 76, 28094, 22, 2610, 370, 330, 6080, 35, 370, 443, 81, 426, 547, 5729, 922, 7201, 346, 203, 5807, 81, 8356, 280, 2726, 10529, 81, 426, 370, 330, 24576, 370, 330, 11893, 370, 330, 725, 81, 1172, 370, 353, 330, 9436, 370, 330, 1199, 81, 1274, 370, 330, 1199, 81, 1274, 1166, 683, 203, 589, 7841, 81, 464, 2262, 284, 7841, 81, 2958, 346, 284, 7841, 81, 725, 81, 3483, 346, 284, 7841, 81, 11025, 346, 284, 4705, 81, 7490, 346, 203, 589, 7841, 81, 2958, 2262, 284, 436, 2297, 328, 2726, 1835, 2613, 370, 711, 291, 415, 2297, 328, 5237, 32, 3477, 44, 324, 3555, 5237, 32, 3477, 77, 1647, 79, 284, 645, 1123, 3483, 2675, 265, 1188, 1159, 81, 725, 1786, 284, 415, 1159, 81, 725, 1786, 44, 291, 645, 1123, 3483, 2675, 265, 1188, 1360, 291, 5237, 32, 3477, 710, 421, 785, 280, 1360, 284, 415, 1159, 81, 725, 1786, 44, 291, 665, 33599, 2176, 711, 324, 3636, 22210, 463, 1290, 10073, 1957, 646, 2193, 21314, 19408, 22735, 291, 2322, 32, 23754, 280, 33599, 203, 589, 7841, 81, 725, 81, 3483, 2262, 284, 665, 1156, 1657, 3207, 784, 711, 291, 442, 630, 32, 998, 26, 37, 34, 35, 27, 284, 3082, 32, 1625, 3667, 1657, 505, 280, 1156, 1657, 505, 284, 443, 3678, 1653, 26, 1473, 711, 291, 665, 1156, 371, 3207, 784, 30, 2467, 30, 15649, 711, 324, 1596, 44, 400, 442, 2467, 1114, 1625, 505, 1160, 81, 823, 324, 2940, 44, 400, 442, 2467, 1114, 1160, 81, 823, 284, 3082, 32, 1625, 32, 1160, 280, 3678, 1653, 346, 284, 665, 617, 371, 81, 3174, 81, 695, 26, 784, 711, 291, 415, 630, 32, 2040, 81, 678, 2262, 324, 442, 15390, 26, 784, 32, 678, 1157, 291, 813, 44, 324, 442, 1665, 284, 3082, 32, 1243, 1114, 371, 81, 3174, 81, 695, 280, 617, 371, 81, 3174, 81, 695, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 646, 6937, 26, 2455, 30, 630, 3667, 823, 505, 711, 324, 442, 3177, 291, 442, 630, 1114, 371, 81, 3174, 81, 695, 346, 610, 1604, 1114, 371, 81, 3174, 81, 695, 346, 284, 3082, 32, 1243, 3667, 3685, 505, 280, 1156, 3685, 505, 284, 665, 1156, 941, 3207, 784, 30, 1604, 711, 291, 442, 646, 630, 3667, 3685, 3207, 2455, 27, 284, 3082, 32, 1243, 3667, 941, 505, 280, 1156, 941, 505, 284, 665, 15769, 26, 784, 711, 291, 442, 630, 1114, 371, 81, 3174, 81, 695, 346, 284, 3082, 32, 1243, 32, 314, 280, 3082, 32, 1243, 32, 3174, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 3, 3, 3, 3, 3, 2, 2, 3, 5, 5, 3, 3, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 9, 10, 10, 9, 8, 7, 6, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 2, 2, 5, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 3, 6, 6, 6, 4, 3, 3, 5, 6, 6, 7, 8, 5, 5, 5, 7, 9, 10, 8, 9, 8, 2, 2, 3, 5, 5, 5, 3, 3, 5, 5, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 5, 7, 7, 7, 5, 5, 4, 4, 8, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 5, 6, 6, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 8, 8, 8, 7, 2, 2, 6, 7, 5, 6, 6, 4, 4, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 6, 7, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 9, 10, 11, 11, 11, 11, 11, 7, 7, 8, 8, 8, 10, 11, 12, 12, 12, 2, 2, 6, 7, 5, 6, 4, 4, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 5, 5, 7, 9, 12, 11, 12, 11, 5, 5, 6, 6, 6, 8, 2, 2, 6, 7, 5, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 9, 10, 10, 8, 5, 5, 7, 4, 4, 5, 8, 9, 9, 9, 9, 9, 8, 6, 6, 8, 9, 9, 9, 9, 9, 8, 2, 2, 6, 7, 5, 6, 6, 4, 4, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 8, 9, 9, 9, 8, 2, 2, 6, 7, 5, 6, 6, 4, 4, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 8, 8, 7, 2, 2, 6, 7, 5, 6, 4, 4, 7, 8, 6, 7, 5 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 1, 4, 4, 0, 0, 1, 0, 7, 7, 1, 1, 2, 7, 7, 0, 0, 0, 1, 1, 2, 3, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 4, 4, 1, 0, 0, 0, 1, 1, 0, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 0, 1, 2, 0, 0, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 0, 0, 8, 8, 1, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 0, 0, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 3, 3, 3, 0, 1, 2, 2, 2, 4, 4, 0, 2, 0, 2, 0, 0, 0, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 4, 4, 4, 0, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 6, 1, 1, 1, 2, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 3, 2, 2, 1, 0, 0, 0, 4, 4, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 2, 0, 0, 2, 2, 4, 4, 8, 1, 1, 1, 2, 2, 2, 8, 8, 0, 1, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 2, 2, 0, 0, 2, 2, 4, 4, 10, 2, 1, 2, 10, 10, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2 ]
[ 465, 11412, 203, 465, 7138, 203, 465, 2322, 203, 465, 3995, 203, 465, 5021, 203, 465, 5021, 81, 1163, 203, 465, 8783, 37, 203, 1070, 20038, 978, 32, 1237, 1188, 2330, 619, 7724, 2554, 203, 1070, 20038, 978, 32, 35312, 32, 16845, 1188, 1312, 2536, 203, 1070, 20038, 978, 32, 35312, 32, 12525, 1188, 19293, 203, 1070, 273, 24038, 1188, 394, 24038, 1486, 203, 505, 2116, 505, 280, 330, 60, 8643, 30552, 41435, 25, 203, 505, 11794, 505, 280, 330, 10581, 225, 36, 34, 35, 39, 30, 971, 8643, 30552, 41435, 25, 203, 505, 2077, 505, 280, 330, 14954, 25, 203, 505, 1648, 505, 280, 330, 34, 32, 35, 32, 40, 25, 203, 81, 2668, 81, 2393, 280, 1665, 203, 81, 933, 81, 2393, 280, 1665, 203, 81, 32166, 81, 2393, 280, 1665, 203, 8451, 81, 10923, 81, 779, 280, 2322, 32, 12757, 32, 371, 463, 8451, 81, 10923, 81, 779, 683, 203, 8451, 81, 10923, 81, 17252, 280, 2322, 32, 12757, 32, 371, 463, 8451, 81, 10923, 81, 17252, 683, 203, 8451, 81, 12455, 81, 9052, 280, 2322, 32, 12757, 32, 371, 463, 8451, 81, 12455, 81, 9052, 683, 203, 32805, 81, 19452, 280, 2322, 32, 12757, 32, 371, 463, 32805, 81, 19452, 683, 203, 32805, 81, 13001, 280, 2322, 32, 12757, 32, 371, 463, 32805, 81, 13001, 683, 203, 32805, 81, 22581, 280, 2322, 32, 12757, 32, 371, 463, 32805, 81, 22581, 683, 203, 32805, 81, 26942, 280, 2322, 32, 12757, 32, 371, 463, 32805, 81, 26942, 683, 203, 32805, 81, 31311, 280, 2107, 496, 370, 330, 6426, 785, 203, 70, 16477, 1305, 81, 6870, 81, 3307, 280, 2322, 32, 12757, 32, 371, 463, 70, 16477, 1305, 81, 6870, 81, 3307, 683, 203, 70, 16477, 1305, 81, 6870, 81, 17252, 280, 2322, 32, 12757, 32, 371, 463, 70, 16477, 1305, 81, 6870, 81, 17252, 683, 203, 70, 16477, 1305, 81, 9036, 81, 9052, 280, 2322, 32, 12757, 32, 371, 463, 70, 16477, 1305, 81, 9036, 81, 9052, 683, 203, 70, 16477, 1305, 81, 21547, 81, 779, 280, 2322, 32, 12757, 32, 371, 463, 70, 16477, 1305, 81, 21547, 81, 779, 683, 203, 70, 16477, 1305, 81, 5807, 81, 4613, 280, 2322, 32, 12757, 32, 371, 463, 70, 16477, 1305, 81, 5807, 81, 4613, 370, 330, 1061, 15017, 1191, 683, 203, 823, 1359, 26, 1473, 711, 284, 443, 3112, 26, 1473, 711, 291, 2043, 81, 314, 280, 44261, 81, 10923, 81, 779, 291, 2043, 81, 7241, 280, 44261, 81, 10923, 81, 17252, 291, 2857, 81, 1956, 280, 44261, 81, 12455, 81, 9052, 284, 443, 8783, 26, 1473, 711, 291, 952, 280, 570, 25128, 81, 19452, 291, 3882, 280, 570, 25128, 81, 13001, 291, 1086, 280, 570, 25128, 81, 22581, 291, 5867, 280, 570, 25128, 81, 26942, 284, 443, 273, 24038, 26, 1473, 711, 291, 1123, 81, 678, 280, 394, 16477, 1305, 81, 6870, 81, 3307, 291, 1123, 81, 7241, 280, 394, 16477, 1305, 81, 6870, 81, 17252, 291, 3796, 81, 1956, 280, 394, 16477, 1305, 81, 9036, 81, 9052, 291, 7772, 81, 314, 280, 394, 16477, 1305, 81, 21547, 81, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 7, 7, 7, 4, 4, 6, 6, 7, 7, 7, 4, 4, 6, 6, 7, 7, 7, 4, 4, 6, 6, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 0, 6, 6, 0, 0, 7, 7, 0, 1, 2, 7, 7, 3, 3, 2, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 10, 10, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 31, 31, 2, 1, 2, 31, 31, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2 ]
[ 1070, 7138, 1188, 30784, 203, 465, 2361, 203, 1070, 485, 3945, 1188, 8059, 924, 203, 1070, 6765, 17594, 32, 3527, 32, 1998, 81, 13730, 1188, 308, 284, 38604, 81, 13904, 59, 30, 284, 38604, 81, 1197, 30, 284, 38604, 81, 2576, 36, 30, 284, 38604, 81, 65, 27368, 30, 284, 38604, 81, 7453, 81, 36, 81, 39, 30, 284, 38604, 81, 7453, 81, 35, 34, 30, 284, 38604, 81, 3629, 36, 30, 203, 27, 203, 1070, 6765, 17594, 32, 3527, 32, 89, 3945, 32, 1998, 81, 13730, 1188, 44726, 1016, 203, 1070, 6765, 17594, 32, 3527, 32, 89, 3945, 32, 913, 1188, 399, 34469, 81, 6990, 5455, 203, 1070, 6765, 17594, 32, 913, 1188, 308, 284, 38604, 81, 15275, 1016, 30, 284, 38604, 81, 18576, 30, 284, 38604, 81, 14080, 81, 2109, 81, 38053, 17589, 30, 284, 2198, 53, 35227, 2893, 81, 43823, 15693, 69, 81, 3687, 81, 53, 2436, 1102, 81, 43531, 30, 284, 14558, 81, 1413, 25431, 30, 203, 27, 203, 1070, 6765, 17594, 32, 1040, 32, 2632, 1188, 8186, 85, 2174, 203, 1070, 3312, 32, 4396, 81, 3613, 1188, 7841, 203, 1070, 3312, 32, 2282, 1188, 2498, 81, 5704, 81, 1003, 81, 8968, 30, 2454, 81, 12940, 203, 1070, 3312, 32, 3527, 32, 89, 3945, 1188, 3219, 81, 11613, 203, 4396, 665, 894, 81, 1998, 81, 13730, 26, 31667, 711, 284, 2014, 3219, 81, 11613, 26, 31667, 27, 284, 10880, 280, 2014, 35741, 32, 8774, 32, 2225, 81, 8200, 32, 4396, 81, 371, 81, 8200, 346, 284, 1603, 280, 35741, 32, 10615, 32, 371, 440, 1998, 81, 13730, 32, 2833, 657, 284, 1201, 1603, 284, 1201, 1603, 32, 1293, 610, 313, 38, 20, 284, 1201, 1603, 32, 5843, 32, 371, 26, 11486, 81, 15275, 1016, 27, 610, 44726, 1016, 284, 1201, 1603, 32, 5843, 32, 371, 26, 11486, 81, 13904, 59, 27, 610, 399, 34469, 81, 6990, 5455, 284, 1201, 1603, 32, 5843, 32, 371, 26, 11486, 81, 7453, 81, 35, 34, 27, 610, 225, 35, 41, 284, 1201, 1603, 32, 5843, 32, 371, 26, 11486, 81, 7453, 81, 36, 81, 39, 27, 610, 225, 38, 284, 1201, 1603, 32, 5843, 32, 371, 26, 11486, 81, 1197, 27, 610, 225, 36, 39, 36, 284, 1201, 1603, 32, 5843, 32, 371, 26, 11486, 81, 3629, 36, 27, 610, 225, 38, 284, 1201, 1603, 32, 5843, 32, 371, 26, 11486, 81, 2576, 36, 27, 610, 225, 41, 284, 1201, 1603, 32, 5843, 32, 371, 26, 11486, 81, 65, 27368, 27, 610, 225, 43, 40, 284, 1201, 308, 291, 1603, 32, 5843, 32, 371, 26, 11486, 81, 14080, 81, 2109, 81, 38053, 17589, 27, 291, 610, 2198, 53, 35227, 2893, 81, 43823, 15693, 69, 81, 3687, 81, 53, 2436, 1102, 81, 43531, 284, 829, 284, 1201, 1603, 32, 5843, 32, 371, 26, 11486, 81, 18576, 27, 610, 313, 7702, 44, 405, 366, 1566, 31, 39233, 20, 284, 1201, 1603, 32, 5843, 32, 371, 440, 13548, 657, 610, 313, 1006, 3270, 225, 35, 20, 284, 3414, 280, 10880, 32, 4396, 81, 371, 440, 1998, 81, 13730, 32, 2833, 657, 284, 1201, 3414, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 6, 6, 6, 7, 6, 2, 2, 4, 4, 5, 9, 10, 8, 9, 9, 9, 7, 8, 8, 8, 8, 8, 7, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 2, 2, 3, 5, 6, 4, 4, 6, 6, 2, 2, 3, 7, 8, 6, 7, 6, 7, 7, 7, 7, 6, 4, 4, 5, 2, 2, 3, 7, 8, 6, 7, 6, 7, 7, 7, 7, 6, 4, 4, 5, 5, 5, 5, 2, 2, 3, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 7, 6, 4, 4, 5, 5, 2, 2, 3, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 4, 4, 5, 2, 2, 3, 7, 8, 6, 7, 6, 7, 7, 7, 6, 4, 4, 5, 5, 5, 2, 2, 3, 7, 8, 6, 7, 6, 7, 7, 7, 7, 6, 4, 4, 5, 2, 2, 3, 7, 8, 6, 7, 6, 7, 7, 7, 7, 6, 4, 4, 5, 2, 2, 3, 7, 8, 6, 7, 6, 7, 7, 7, 7, 6, 4, 4, 5, 5, 2, 2, 3, 4, 4, 8, 9, 7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 3, 7, 8, 6, 7, 6, 7, 7, 7, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 7, 8, 6, 7, 6, 8, 8, 4, 4, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 2 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 4, 1, 6, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 2, 2, 8, 8, 0, 9, 9, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 4, 10, 10, 0, 0, 0, 11, 11, 11, 2, 2, 2, 2, 3, 1, 3, 11, 11, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 3, 5, 5, 4, 0, 2, 1, 1, 1, 2, 5, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 6, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 7, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 5, 8, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 9, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 10, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 11, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 12, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 5, 13, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 14, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 15, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 5, 17, 5 ]
[ 1277, 21329, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 9101, 81, 575, 515, 3308, 4732, 203, 4021, 81, 2310, 44, 4784, 8522, 2869, 17740, 544, 3940, 7578, 3113, 4122, 48593, 32, 203, 2310, 44, 284, 429, 31580, 17740, 432, 6086, 436, 24627, 30, 13077, 461, 8528, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 35, 20, 203, 2116, 44, 313, 24511, 1309, 488, 7776, 11931, 575, 775, 4731, 203, 2184, 44, 334, 2869, 81, 681, 44, 284, 3048, 44, 397, 429, 2768, 432, 322, 2869, 32, 284, 2129, 44, 861, 284, 16682, 44, 397, 429, 1980, 397, 429, 4749, 81, 2468, 397, 429, 6864, 397, 429, 10426, 397, 429, 3079, 397, 429, 3984, 397, 429, 43290, 397, 429, 10895, 397, 429, 4117, 397, 429, 7458, 81, 4219, 397, 429, 15997, 81, 4219, 284, 20664, 44, 428, 330, 681, 25, 1481, 334, 2723, 44, 284, 3048, 44, 397, 429, 18690, 1451, 432, 322, 2869, 32, 397, 429, 4101, 438, 707, 17620, 390, 3736, 35, 547, 284, 2129, 44, 901, 284, 1244, 44, 429, 35, 284, 20664, 44, 428, 330, 1449, 25, 1481, 334, 5880, 44, 284, 3048, 44, 397, 429, 14063, 322, 2869, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 3497, 44, 284, 3048, 44, 397, 429, 9035, 322, 2869, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 2074, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 2074, 322, 2869, 438, 5886, 372, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 203, 9971, 81, 10270, 81, 9854, 44, 8668, 3034, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 4000, 312, 2869, 2723, 436, 6942, 432, 312, 5880, 203, 1696, 81, 1141, 44, 334, 2297, 44, 9101, 81, 575, 515, 3308, 4732, 334, 827, 44, 1980, 334, 2723, 44, 225, 35, 34, 334, 5880, 44, 20143, 203, 21, 4000, 312, 2869, 2723, 436, 6942, 432, 600, 3497, 203, 1696, 81, 1141, 44, 334, 2297, 44, 9101, 81, 575, 515, 3308, 4732, 334, 827, 44, 1980, 334, 2723, 44, 225, 35, 36, 334, 3497, 44, 345, 7776, 268, 334, 5880, 44, 20143, 203, 9592, 203, 10934, 280, 5881, 203, 1559, 203, 268, 5512, 369, 81, 681, 44, 334, 3048, 44, 2768, 432, 322, 2869, 334, 4717, 44, 3117, 334, 827, 44, 802, 334, 3964, 44, 1980, 203, 3248, 44, 334, 3048, 44, 18690, 1451, 432, 322, 2869, 32, 334, 4717, 44, 3117, 334, 827, 44, 629, 334, 3964, 44, 429, 35, 203, 4116, 44, 334, 3048, 44, 14063, 322, 2869, 438, 5886, 372, 32, 334, 4717, 44, 3117, 334, 827, 44, 802, 334, 3964, 44, 2280, 5880, 203, 3524, 44, 334, 3048, 44, 9035, 322, 2869, 438, 5886, 372, 32, 334, 4717, 44, 3117, 334, 827, 44, 802, 334, 3964, 44, 2280, 3497, 203, 2250, 44, 334, 3048, 44, 5412, 322, 2869, 438, 5886, 372, 32, 334, 4717, 44, 3117, 334, 827, 44, 802, 334, 3964, 44, 2280, 2074, 203, 9592, 203, 1270, 44, 284, 645, 9101, 1188, 7578, 3113, 30, 7578, 3113, 984, 30, 1491, 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, 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, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 3, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5 ]
[ 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, 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, 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, 2, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 24495, 203, 465, 24495, 81, 9558, 203, 1070, 709, 795, 1188, 1359, 203, 1070, 709, 795, 32, 13547, 1188, 3772, 2059, 203, 37080, 81, 7921, 81, 36443, 81, 3307, 280, 7610, 342, 795, 44, 1357, 81, 105, 639, 25, 203, 823, 15922, 2059, 26, 1761, 2059, 711, 284, 665, 1156, 1664, 3207, 784, 30, 7664, 81, 20646, 265, 30, 12741, 81, 1298, 30, 16975, 81, 1298, 711, 291, 2599, 17094, 1664, 3207, 5866, 81, 20646, 265, 27, 291, 630, 32, 6282, 280, 12741, 81, 1298, 291, 630, 32, 17012, 280, 16975, 81, 1298, 291, 630, 1114, 1357, 81, 2613, 280, 2149, 291, 630, 1114, 3781, 280, 1665, 284, 477, 38326, 32, 42826, 284, 665, 5008, 26, 784, 711, 291, 415, 630, 1114, 3781, 438, 1665, 44, 324, 630, 1114, 3781, 280, 6761, 645, 24495, 81, 9558, 32, 4198, 32, 1297, 26, 2035, 47, 1163, 32, 8094, 81, 37080, 81, 8472, 30, 2601, 47, 1163, 32, 8094, 81, 37080, 81, 3624, 30, 3882, 47, 1163, 32, 8094, 81, 37080, 81, 13001, 30, 3082, 47, 1163, 32, 8094, 81, 37080, 81, 1996, 30, 6929, 891, 47, 37, 27, 291, 442, 630, 1114, 3781, 284, 477, 38326, 32, 42826, 284, 665, 13942, 26, 784, 711, 291, 4567, 280, 6761, 645, 630, 32, 3517, 346, 291, 2218, 2933, 44, 324, 1326, 81, 2067, 81, 1294, 280, 6761, 645, 4567, 32, 839, 3235, 1915, 1372, 26, 1163, 32, 8094, 81, 37080, 81, 7921, 81, 3307, 30, 19087, 1296, 81, 7921, 81, 36443, 81, 3307, 27, 324, 1596, 44, 400, 1326, 81, 2067, 280, 630, 32, 17012, 26, 1357, 81, 2067, 81, 1294, 27, 400, 630, 32, 524, 81, 1357, 26, 1357, 81, 2067, 27, 324, 2940, 10091, 44, 400, 630, 32, 2416, 81, 1986, 14178, 314, 950, 1665, 30, 330, 731, 950, 5053, 687, 950, 429, 37, 36, 41, 34, 34, 30, 330, 1436, 950, 330, 4480, 1048, 21028, 27, 291, 4567, 32, 2679, 346, 284, 665, 2164, 81, 1986, 26, 784, 30, 1056, 711, 291, 477, 38326, 32, 42826, 291, 665, 6394, 81, 2416, 2262, 324, 4567, 280, 6761, 645, 630, 32, 3517, 346, 324, 6761, 645, 4567, 32, 1915, 1372, 26, 1163, 32, 8094, 81, 37080, 81, 19675, 81, 3307, 81, 9857, 474, 596, 26, 1267, 710, 314, 16578, 428, 784, 32, 6282, 26, 1267, 14829, 291, 24495, 32, 4396, 26, 44454, 81, 2416, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 9, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 6, 5, 6, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 7, 7, 6, 6, 6, 10, 11, 9, 9, 10, 10, 14, 14, 13, 14, 12, 13, 12, 14, 13, 15, 14, 15, 15, 15, 15, 15, 12, 12, 13, 15, 14, 15, 15, 15, 15, 15, 12, 12, 13, 15, 14, 15, 15, 15, 15, 15, 12, 12, 13, 15, 14, 15, 15, 15, 15, 15, 12, 12, 14, 13, 14, 12, 5, 5, 6, 7, 8, 2, 2, 6, 5, 6, 3, 3, 4, 5, 6, 5, 4, 4, 7, 7, 8, 8, 10, 11, 10, 5, 5, 6, 6, 6, 6, 10, 10, 10, 10, 9, 9, 10, 10, 12, 13, 13, 13, 13, 12, 14, 13, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 13, 13, 13, 13, 13, 13, 12, 7, 7, 8, 8, 8, 12, 12, 11, 11, 13, 14, 13, 14, 14, 14, 14, 14, 13, 9, 9, 12, 13, 13, 13, 12, 13, 13, 13, 12, 8, 8, 9, 9, 9, 9, 13, 14, 14, 14, 13, 17, 17, 15, 14, 14, 17, 17, 15, 19, 19, 17, 19, 19, 19, 19, 19, 16, 16, 19, 19, 17, 19, 19, 19, 13, 5, 5, 8, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 5, 5, 6, 7, 7, 7, 6, 6, 9, 9, 10, 10, 12, 13, 12, 7, 7, 9, 9, 11, 12, 12, 11, 14, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 16, 15, 17, 17, 11, 15, 14, 15, 14, 15, 14, 4, 4, 7, 8, 7, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 3, 0, 2, 2, 2, 2, 2, 2, 1, 1, 5, 0, 2, 2, 2, 2, 2, 2, 1, 1, 7, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 9, 2, 1, 4, 4, 1, 1, 2, 4, 4, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 1, 1, 2, 1, 4, 4, 0, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 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, 38520, 81, 496, 203, 4021, 81, 2310, 44, 15450, 556, 20080, 312, 1256, 645, 312, 22717, 3500, 32, 203, 2310, 44, 284, 429, 15450, 556, 20080, 312, 1256, 645, 312, 22717, 3500, 32, 203, 1648, 81, 11043, 44, 313, 35, 32, 35, 20, 203, 2184, 44, 284, 6207, 81, 496, 44, 291, 3048, 44, 324, 429, 886, 952, 1654, 372, 21307, 623, 291, 2129, 44, 901, 291, 1244, 44, 744, 284, 6207, 81, 2895, 44, 291, 3048, 44, 324, 429, 886, 3882, 1654, 372, 21307, 623, 291, 2129, 44, 901, 291, 1244, 44, 744, 284, 6207, 81, 2035, 44, 291, 3048, 44, 324, 429, 886, 3408, 3974, 322, 3500, 291, 2129, 44, 901, 291, 1244, 44, 18339, 284, 6207, 81, 625, 44, 291, 3048, 44, 324, 429, 886, 2601, 372, 5008, 372, 291, 2129, 44, 901, 291, 1244, 44, 225, 36, 41, 34, 35, 41, 284, 6207, 81, 4603, 44, 291, 1503, 81, 11043, 44, 313, 36, 32, 34, 20, 291, 3048, 44, 324, 429, 886, 3500, 2154, 6207, 10677, 884, 7107, 291, 2129, 44, 901, 291, 1244, 44, 744, 284, 25884, 81, 470, 44, 291, 1503, 81, 11043, 44, 313, 35, 32, 40, 20, 291, 3048, 44, 324, 429, 41273, 739, 372, 5008, 372, 308, 11765, 20725, 37239, 372, 7458, 436, 19408, 27, 291, 2129, 44, 901, 291, 1244, 44, 744, 284, 3500, 44, 291, 3048, 44, 324, 429, 886, 636, 432, 322, 3500, 372, 1015, 33, 2546, 322, 1256, 645, 291, 2129, 44, 861, 284, 636, 44, 291, 3048, 44, 324, 429, 886, 636, 432, 322, 1256, 372, 1015, 556, 3345, 291, 2129, 44, 861, 291, 1244, 44, 744, 291, 20664, 44, 428, 330, 496, 25, 1481, 284, 3882, 44, 291, 3048, 44, 324, 429, 886, 3882, 372, 793, 436, 322, 1256, 291, 2129, 44, 901, 291, 1244, 44, 744, 284, 17778, 44, 291, 1503, 81, 11043, 44, 313, 35, 32, 42, 20, 291, 3048, 44, 324, 429, 14071, 372, 793, 600, 14156, 3387, 1412, 22422, 372, 322, 3500, 291, 1244, 44, 3177, 284, 17778, 81, 6989, 81, 47297, 44, 291, 1503, 81, 11043, 44, 313, 36, 32, 36, 20, 291, 3048, 44, 324, 429, 19009, 4946, 312, 10282, 438, 2129, 645, 322, 1604, 5209, 432, 322, 3387, 30, 461, 4946, 561, 1098, 526, 25776, 415, 3943, 32, 291, 2129, 44, 901, 291, 1244, 44, 313, 21729, 81, 22453, 20, 291, 16682, 44, 3037, 21729, 81, 22453, 392, 313, 21729, 81, 41143, 392, 313, 21729, 81, 8467, 1446, 284, 13479, 44, 291, 1503, 81, 11043, 44, 313, 35, 32, 37, 20, 291, 3048, 44, 324, 429, 313, 1318, 3500, 1256, 13479, 2080, 2078, 3065, 3154, 526, 1591, 556, 1829, 432, 322, 2412, 5852, 44, 330, 850, 370, 330, 850, 2538, 370, 330, 1199, 4191, 370, 330, 496, 4191, 370, 330, 5176, 4191, 370, 330, 850, 4277, 3954, 370, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 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, 5741, 203, 465, 6234, 203, 465, 5237, 203, 465, 15798, 203, 589, 1420, 81, 4882, 26, 858, 81, 1732, 30, 5398, 30, 2676, 1786, 711, 284, 5741, 32, 6390, 1063, 26, 2649, 47, 7490, 32, 17235, 27, 284, 2676, 1786, 32, 1366, 346, 284, 1596, 44, 291, 894, 4888, 280, 15798, 32, 1006, 4888, 346, 291, 894, 7981, 280, 15798, 32, 1031, 39286, 346, 291, 894, 81, 1732, 81, 426, 280, 313, 21794, 32, 858, 32, 21794, 32, 35296, 32, 2282, 15231, 101, 20, 904, 894, 81, 1732, 291, 415, 2069, 26, 3731, 32, 6118, 27, 848, 225, 35, 44, 324, 894, 1868, 280, 5237, 32, 6118, 77, 35, 79, 324, 894, 7981, 32, 1945, 26, 400, 894, 4888, 32, 944, 4470, 32128, 26, 528, 5461, 101, 15231, 101, 20, 904, 308, 858, 81, 1732, 81, 426, 30, 894, 1868, 2610, 291, 813, 44, 324, 894, 7981, 32, 1945, 26, 858, 4888, 32, 944, 4470, 32128, 26, 858, 81, 1732, 81, 426, 490, 291, 5398, 32, 16997, 346, 284, 8295, 44, 291, 2676, 1786, 32, 4048, 346, 203, 589, 1205, 81, 11788, 26, 1298, 711, 284, 665, 894, 1868, 26, 784, 711, 291, 6234, 81, 280, 6234, 32, 4817, 346, 291, 1596, 44, 324, 6234, 3133, 470, 5457, 26, 35, 27, 324, 6234, 3133, 3517, 26146, 1499, 32, 2175, 32, 508, 392, 225, 42, 34, 490, 324, 442, 3420, 26, 784, 27, 291, 2940, 6234, 32, 731, 44, 324, 442, 9254, 816, 44, 1665, 284, 894, 1868, 32, 1298, 81, 426, 280, 3420, 32, 1298, 81, 426, 284, 442, 894, 1868, 203, 589, 4483, 81, 9534, 81, 452, 81, 1260, 26, 9534, 711, 284, 11078, 81, 2665, 280, 2149, 284, 436, 1202, 30, 786, 328, 11078, 32, 3028, 2262, 291, 415, 1202, 610, 313, 22171, 563, 324, 11078, 81, 2665, 1365, 31504, 1446, 280, 629, 26, 853, 27, 319, 225, 35, 34, 34, 34, 291, 813, 44, 324, 11078, 81, 2665, 77, 678, 79, 280, 786, 284, 442, 11078, 81, 2665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 1, 1, 5, 6, 6, 5, 7, 6, 8, 7, 8, 5, 2, 2, 6, 5, 6, 5, 2, 2, 3, 3, 3, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 4, 4, 5, 8, 10, 9, 10, 8, 6, 6, 7, 5, 5, 5, 9, 8, 8, 10, 11, 9, 10, 9, 6, 6, 10, 9, 10, 9, 9, 9, 12, 11, 12, 12, 12, 11, 11, 11, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 13, 13, 14, 13, 5, 5, 6, 6, 6, 11, 10, 11, 10, 13, 13, 12, 13, 13, 13, 12, 13, 13, 13, 13, 13, 12, 4, 4, 7, 8, 7, 3, 3, 4, 4, 4, 9, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 8, 4, 4, 5, 5, 5, 10, 10, 10, 9, 10, 9, 6, 6, 10, 10, 9, 12, 12, 12, 12, 12, 12, 10, 11, 11, 10, 6, 6, 7, 9, 10, 9, 5, 5, 6, 7, 8, 6, 6, 6, 8, 9, 9, 9, 2, 2, 6, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 5, 6, 5, 3, 3, 5, 6, 6, 8, 8, 5, 5, 10, 10, 9, 11, 11, 8, 8, 11, 12, 11, 9, 9, 10, 10, 10, 10, 5, 5, 6, 6, 6, 11, 11, 10, 11, 10, 9, 9, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 5, 2, 4, 4, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 0, 1, 2, 1, 1, 1, 2, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 3, 3, 4, 4, 4, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 3, 3, 3, 0, 0, 2, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 2, 3, 3, 3, 0, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 2, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 2, 0, 0, 0, 4, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 3619, 9882, 283, 1188, 14093, 283, 30, 4581, 203, 589, 1149, 15106, 26, 4347, 81, 342, 711, 284, 1459, 463, 25339, 19350, 2484, 44, 301, 34, 16805, 1643, 26, 4347, 81, 342, 32, 606, 490, 284, 1532, 913, 280, 4581, 32, 22751, 1308, 15395, 26, 9882, 283, 32, 1427, 5421, 400, 638, 1419, 4220, 26, 1996, 32, 42642, 4220, 32, 65, 635, 81, 9183, 5421, 400, 638, 8127, 1308, 35729, 22452, 346, 284, 660, 9980, 280, 739, 346, 284, 436, 13011, 270, 328, 1532, 913, 44, 291, 29284, 280, 10440, 106, 32, 1308, 606, 30, 816, 27, 436, 816, 328, 13011, 270, 32, 15661, 79, 291, 709, 3631, 280, 428, 106, 77, 34, 79, 436, 816, 328, 29284, 79, 291, 415, 4324, 81, 342, 32, 606, 328, 709, 3631, 44, 324, 660, 9980, 32, 669, 26, 4977, 270, 27, 324, 1459, 463, 9238, 11406, 44, 301, 34, 111, 588, 2241, 3042, 15516, 44, 301, 35, 111, 18005, 2484, 44, 301, 36, 8129, 1750, 638, 1643, 26, 4977, 270, 32, 14774, 922, 558, 32, 94, 4510, 26, 36, 42, 471, 3775, 596, 26, 4977, 270, 32, 15661, 32, 1250, 547, 94, 4510, 26, 36, 38, 471, 3775, 13011, 270, 32, 606, 490, 324, 436, 273, 328, 29284, 44, 400, 2488, 280, 273, 77, 35, 79, 400, 709, 314, 280, 273, 77, 34, 79, 400, 415, 709, 314, 610, 4324, 81, 342, 32, 606, 44, 528, 709, 314, 280, 596, 26, 342, 314, 27, 474, 330, 308, 578, 9905, 400, 709, 280, 14093, 283, 32, 1427, 32, 936, 1308, 26, 612, 32, 1308, 606, 27, 400, 1459, 463, 262, 301, 34, 111, 41799, 1345, 43387, 390, 17847, 5645, 44, 301, 35, 111, 2484, 44, 301, 36, 8129, 2855, 638, 1643, 26, 612, 32, 1308, 3564, 620, 32, 4590, 922, 94, 4510, 26, 37, 39, 471, 4985, 709, 32, 4220, 32, 558, 32, 94, 4510, 26, 36, 34, 471, 4985, 709, 314, 490, 324, 1459, 9442, 96, 683, 284, 1459, 9442, 96, 683, 203, 8319, 280, 14093, 283, 32, 371, 81, 8319, 346, 203, 979, 709, 328, 7798, 32, 7594, 44, 284, 1149, 15106, 26, 342, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 9, 9, 9, 9, 9, 9, 9, 8, 7, 9, 9, 9, 8, 9, 7, 2, 2, 5, 4, 4, 10, 11, 11, 11, 10, 12, 12, 11, 12, 10, 9, 8, 9, 9, 8, 11, 10, 11, 11, 9, 10, 10, 10, 10, 8, 7, 6, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 6, 2, 2, 3, 4, 3, 3, 4, 3, 3, 3, 6, 6, 10, 9, 10, 10, 8, 8, 8, 7, 8, 8, 8, 10, 9, 10, 7, 4, 4, 7, 6, 6, 9, 8, 9, 8, 7, 8, 8, 8, 7, 4, 4, 5, 8, 8, 7, 8, 6, 6, 7, 5, 5, 5, 10, 9, 10, 9, 10, 10, 9, 6, 6, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 12, 11, 17, 17, 16, 17, 16, 15, 13, 14, 14, 13, 14, 14, 13, 11, 11, 15, 18, 18, 17, 18, 16, 17, 15, 14, 14, 13, 14, 14, 13, 11, 11, 13, 12, 13, 11, 6, 6, 7, 7, 7, 7, 7, 7, 10, 10, 11, 12, 11, 8, 8, 11, 10, 10, 11, 12, 11, 8, 8, 9, 11, 10, 10, 12, 12, 11, 12, 9, 9, 9, 13, 12, 12, 15, 16, 16, 15, 13, 13, 15, 15, 15, 8, 8, 10, 10, 14, 13, 14, 12, 13, 13, 12, 14, 13, 14, 14, 12, 8, 8, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 14, 13, 19, 18, 19, 19, 19, 17, 18, 17, 16, 16, 15, 16, 16, 15, 13, 13, 17, 18, 16, 17, 15, 16, 16, 15, 16, 16, 15, 13, 13, 14, 13, 6, 6, 9, 12, 11, 2, 2, 5, 8, 7, 0, 3, 2, 2, 5, 4, 5, 5, 5, 4, 0, 1, 1, 1, 1, 2, 3, 1, 1, 1, 5, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 3, 3, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 1, 4, 4, 3, 1, 3, 3, 3, 3, 3, 3, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 3, 2, 2, 5, 5, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 5, 2, 1, 3, 3, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 5, 5, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 3, 3, 1, 0, 2, 4, 4, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 3, 3, 3, 3, 3, 2, 3, 3, 3, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 1133, 203, 465, 29590, 203, 465, 2322, 203, 465, 16539, 203, 465, 316, 203, 465, 8529, 761, 203, 1070, 5237, 1188, 24621, 203, 1070, 46436, 1188, 8248, 203, 1070, 46436, 32, 30518, 1188, 10435, 9944, 4496, 203, 1070, 46436, 32, 37293, 1188, 1383, 30, 1359, 81, 1859, 203, 1070, 46436, 32, 34913, 32, 1237, 1188, 1709, 1889, 59, 203, 81, 1376, 3795, 81, 33465, 280, 1665, 203, 81, 1376, 3795, 81, 1903, 280, 2107, 6418, 400, 3056, 3381, 33, 6074, 33, 1376, 3795, 370, 400, 3056, 3381, 33, 1696, 33, 6074, 33, 1376, 3795, 370, 400, 3056, 3381, 33, 1356, 33, 1376, 3795, 370, 400, 3056, 3381, 33, 1696, 33, 1356, 33, 1376, 3795, 370, 79, 203, 589, 1359, 81, 1376, 3795, 26, 33465, 47, 2521, 711, 284, 3649, 617, 1376, 3795, 81, 33465, 284, 1359, 81, 1859, 346, 284, 415, 32438, 438, 646, 1665, 44, 291, 617, 1376, 3795, 81, 33465, 280, 32438, 284, 415, 617, 1376, 3795, 81, 33465, 438, 1665, 44, 291, 3233, 983, 280, 617, 1376, 3795, 81, 1903, 291, 415, 330, 4643, 21730, 8439, 25, 328, 2322, 32, 12757, 44, 324, 3233, 983, 32, 3215, 26, 34, 30, 2322, 32, 12757, 710, 4643, 21730, 8439, 3490, 291, 436, 1519, 328, 3233, 983, 44, 324, 415, 2322, 32, 983, 32, 4658, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 330, 1376, 3795, 32, 6857, 41095, 400, 617, 1376, 3795, 81, 33465, 280, 2322, 32, 983, 32, 2524, 26, 983, 30, 330, 1376, 3795, 32, 6857, 683, 400, 1503, 280, 617, 1553, 81, 1376, 3795, 81, 1648, 2176, 1376, 3795, 81, 33465, 27, 400, 415, 1503, 44, 528, 1459, 26, 14969, 3595, 2688, 3795, 44, 904, 101, 308, 1648, 904, 101, 2177, 25, 904, 6029, 4638, 1376, 3795, 81, 33465, 30, 1503, 2610, 400, 813, 44, 528, 1459, 14969, 3595, 2688, 3795, 44, 904, 101, 18262, 904, 617, 1376, 3795, 81, 33465, 27, 400, 617, 1553, 81, 1376, 3795, 81, 1648, 2176, 1376, 3795, 81, 33465, 27, 284, 415, 617, 1376, 3795, 81, 33465, 438, 1665, 44, 291, 3636, 23940, 924, 463, 12014, 372, 2290, 996, 3795, 32, 6857, 19, 225, 4417, 1359, 81, 1376, 3795, 346, 330, 3775, 330, 271, 739, 322, 624, 19057, 51, 8439, 4706, 2677, 32, 330, 3775, 330, 1562, 1829, 2471, 2625, 2688, 3795, 30, 4322, 2318, 330, 3775, 330, 525, 555, 1499, 32, 1729, 32, 7237, 1546, 6591, 32, 329, 32, 16133, 33, 696, 33, 1376, 3795, 25844, 203, 589, 617, 1553, 81, 1376, 3795, 81, 1648, 26, 6857, 711, 284, 1596, 44, 291, 1288, 88, 280, 8529, 761, 32, 13567, 974, 26, 6857, 27, 284, 2940, 308, 1598, 8112, 30, 21300, 19497, 711, 291, 3636, 284, 2940, 44, 291, 442, 1665, 284, 1596, 44, 291, 1596, 44, 324, 442, 1288, 88, 32, 850, 463, 1376, 3795, 33, 1262, 33, 1648, 32, 2760, 683, 291, 2940, 25085, 44, 324, 442, 1665, 284, 8295, 44, 291, 1288, 88, 32, 2679, 346, 203, 823, 2688, 3795, 15401, 26, 15401, 59, 711, 284, 665, 1156 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 2, 2, 5, 5, 5, 2, 2, 3, 4, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 2, 2, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 6, 6, 7, 7, 7, 7, 4, 4, 5, 8, 8, 8, 8, 6, 6, 7, 8, 5, 5, 5, 10, 9, 10, 9, 10, 9, 9, 11, 12, 10, 12, 12, 12, 12, 4, 4, 5, 5, 5, 6, 5, 5, 5, 7, 10, 11, 9, 10, 9, 13, 12, 13, 11, 12, 11, 12, 11, 11, 13, 13, 13, 13, 13, 7, 7, 11, 11, 11, 11, 10, 10, 13, 14, 12, 13, 12, 13, 12, 12, 14, 14, 14, 14, 14, 8, 8, 10, 10, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 12, 8, 8, 9, 9, 9, 9, 13, 14, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 15, 15, 15, 17, 17, 17, 17, 16, 16, 16, 9, 9, 10, 10, 10, 14, 17, 17, 17, 17, 17, 17, 17, 15, 15, 16, 16, 16, 16, 14, 8, 8, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 11, 2, 2, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 5, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 7, 6, 6, 9, 8, 9, 9, 8, 9, 8, 3, 3, 4, 6, 6, 5, 5, 6, 5, 4, 4, 3, 3, 4, 4, 4, 6, 2, 2, 3, 3, 3, 5, 5, 5, 7, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 6, 6, 6, 8, 3, 3, 4, 4, 4, 9, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 0, 9, 9, 1, 2, 9, 9, 0, 0, 0, 10, 10, 1, 2, 10, 10, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 14, 14, 1, 1, 1, 2, 0, 1, 2, 2, 14, 14, 0, 1, 1, 1, 1, 4, 4, 0, 0, 1, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 3, 0, 0, 0, 0, 1, 1, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 3, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 15, 15, 1, 1, 1, 1, 1, 1, 2, 1, 2, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 4, 4, 4, 0, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 0, 2, 1, 0, 16, 16, 1, 1, 2, 1, 1, 2, 16, 16, 0 ]
[ 1070, 2156, 26723, 32, 26723, 1786, 1188, 488, 552, 6143, 203, 1070, 1278, 96, 32, 5074, 483, 1188, 1884, 1352, 203, 1070, 1278, 96, 32, 7004, 1188, 319, 203, 505, 2116, 505, 280, 330, 69, 872, 36960, 559, 29921, 25, 203, 823, 7049, 6143, 26, 63, 552, 6143, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 380, 1352, 280, 1665, 284, 665, 1487, 81, 380, 1352, 26, 784, 30, 8566, 1166, 711, 291, 630, 32, 380, 1352, 280, 1884, 1352, 26, 4149, 1166, 30, 7686, 43566, 6197, 39019, 47, 2700, 30, 7686, 14227, 41457, 279, 8100, 47, 2700, 30, 7686, 2608, 81, 2024, 81, 1793, 81, 9578, 47, 1815, 30, 7686, 3066, 81, 29820, 81, 9578, 47, 1815, 27, 291, 630, 32, 380, 1352, 32, 669, 81, 5275, 26, 39631, 705, 1222, 3842, 26, 784, 32, 380, 1352, 490, 291, 630, 32, 380, 1352, 32, 669, 81, 5275, 26, 19637, 705, 1222, 3842, 26, 784, 32, 380, 1352, 490, 291, 630, 32, 380, 1352, 32, 669, 81, 5275, 26, 31529, 705, 1222, 3842, 26, 784, 32, 380, 1352, 490, 291, 630, 32, 380, 1352, 32, 669, 81, 5275, 26, 1222, 705, 39631, 3842, 26, 784, 32, 380, 1352, 490, 291, 630, 32, 380, 1352, 32, 669, 81, 5275, 26, 1222, 705, 19637, 3842, 26, 784, 32, 380, 1352, 490, 291, 630, 32, 380, 1352, 32, 669, 81, 5275, 26, 1222, 705, 31529, 3842, 26, 784, 32, 380, 1352, 490, 291, 630, 32, 380, 1352, 32, 669, 81, 5275, 26, 1222, 7016, 17967, 10467, 3842, 26, 784, 32, 380, 1352, 490, 284, 665, 1420, 26, 784, 30, 8566, 1166, 711, 291, 415, 630, 32, 380, 1352, 438, 1665, 44, 324, 630, 32, 1297, 81, 380, 1352, 26, 4149, 1166, 27, 324, 442, 291, 1056, 280, 630, 32, 380, 1352, 32, 7543, 81, 2997, 346, 291, 442, 1056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 8, 9, 9, 8, 8, 8, 10, 10, 9, 10, 8, 8, 8, 10, 10, 10, 9, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 9, 10, 8, 8, 8, 10, 10, 10, 10, 9, 10, 8, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 11, 10, 11, 11, 9, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 11, 10, 11, 11, 9, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 11, 10, 11, 11, 9, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 11, 10, 11, 11, 9, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 11, 10, 11, 11, 9, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 11, 10, 11, 11, 9, 4, 4, 8, 9, 9, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 11, 10, 11, 11, 9, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 6, 6, 5, 5, 5, 9, 10, 10, 10, 10, 9, 10, 10, 9, 6, 6, 4, 4, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 2, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 1, 0, 0, 0, 5, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 7, 2, 1, 1, 1, 0, 0, 0, 0, 9, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 4, 4, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 1070, 2919, 2208, 1188, 3659, 1564, 203, 1070, 8206, 13835, 32, 2958, 1188, 7829, 203, 1070, 32714, 107, 32, 2304, 32, 2957, 1188, 39529, 81, 452, 81, 2665, 203, 1070, 32714, 107, 32, 11452, 1188, 10484, 924, 203, 823, 6906, 1067, 107, 2019, 26, 1473, 711, 284, 7171, 81, 2250, 280, 3177, 284, 281, 18342, 81, 2416, 280, 1665, 284, 1244, 81, 3550, 280, 2149, 284, 4323, 687, 280, 225, 34, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 3550, 280, 1665, 10065, 665, 739, 81, 33439, 26, 784, 30, 281, 18342, 711, 291, 1201, 646, 19326, 26, 784, 30, 7610, 33439, 1425, 313, 33439, 3425, 739, 20, 291, 630, 1114, 33439, 280, 281, 18342, 284, 665, 8345, 26, 784, 711, 291, 442, 3330, 284, 665, 4504, 81, 3801, 26, 784, 711, 291, 442, 3330, 284, 665, 1946, 81, 3801, 26, 784, 711, 291, 442, 630, 32, 4021, 81, 3801, 346, 284, 665, 3049, 26, 784, 711, 291, 442, 630, 32, 3222, 81, 3801, 346, 284, 665, 1015, 81, 2184, 26, 784, 30, 4118, 711, 291, 2350, 280, 3659, 1564, 26, 3922, 30, 313, 4455, 11024, 657, 291, 2350, 32, 669, 81, 1762, 13692, 38364, 392, 34664, 347, 3539, 392, 324, 3049, 347, 751, 803, 32, 415, 24143, 16154, 1098, 526, 1654, 657, 291, 2350, 32, 669, 81, 1762, 10359, 62, 392, 7915, 751, 2649, 392, 34664, 347, 10729, 392, 1244, 47, 2521, 30, 324, 3049, 347, 751, 3193, 308, 1536, 44, 904, 101, 4731, 904, 630, 32, 3550, 710, 3602, 81, 10729, 3490, 291, 2350, 32, 669, 81, 1762, 13692, 33913, 392, 2125, 347, 2157, 81, 1508, 392, 324, 3049, 347, 5820, 5741, 14252, 657, 291, 2350, 32, 669, 81, 1762, 13692, 3959, 392, 34664, 347, 3539, 392, 1244, 47, 2521, 30, 324, 3049, 347, 1821, 4262, 281, 4290, 8616, 372, 10960, 657, 291, 2350, 32, 669, 81, 1762, 13692, 6320, 761, 392, 34664, 347, 3539, 392, 324, 3049, 347, 1821, 2164, 2484, 372, 10960, 657, 291, 2350, 32, 669, 81, 1762, 10359, 101, 392, 7915, 470, 392, 2125, 347, 1689, 392, 1244, 33792, 34664, 347, 2474, 47, 5975, 392, 324, 3049, 347, 470, 33, 7106, 5748, 308, 17302, 526, 16834, 14451, 291, 2350, 32, 669, 81, 1762, 13692, 23911, 392, 2125, 347, 2157, 81, 1508, 392, 3049, 347, 4898, 36116, 544, 7829, 657, 291, 4118, 32, 669, 81, 1762, 81, 1363, 26, 1363, 27, 284, 665, 2164, 81, 2184, 26, 784, 30, 2181, 30, 6410, 711, 291, 1596, 44, 324, 630, 32, 3550, 32, 470, 2665, 26, 626, 668, 81, 452, 81, 2665, 26, 6363, 32, 470, 471, 6619, 9958, 1057, 41842, 683, 291, 2940, 10091, 44, 324, 3636, 10484, 924, 440, 3817, 429, 101, 786, 30, 793, 429, 101, 8912, 47, 5975, 392, 1459, 81, 4756, 47, 2700, 27, 291, 415, 6410, 32, 38364, 44, 324, 630, 32, 3550, 32, 470, 463, 3602, 81, 17557, 370, 2933, 30, 9958, 1057, 41842, 683, 324, 630, 32, 3550, 32, 470, 463, 3602, 81, 3539, 370, 6410, 32, 38364, 30, 9958, 1057, 41842, 683, 291, 415, 6410 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 5, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 6, 8, 9, 8, 8, 10, 10, 5, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 9, 8, 8, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 8, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 9, 7, 8, 10, 10, 7, 8, 9, 7, 7, 7, 8, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 12, 10, 12, 12, 12, 12, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 8, 10, 10, 7, 8, 9, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 7, 8, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 7, 8, 10, 10, 7, 8, 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, 8, 10, 10, 10, 10, 7, 8, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 10, 11, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 13, 12, 13, 11, 9, 9, 10, 12, 12, 5, 5, 6, 6, 6, 6, 8, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 12, 11, 12, 10, 4, 4, 5, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 9, 9, 9, 10, 12, 12, 6, 6, 10, 11, 9, 10, 9, 11, 11, 11, 11, 9, 10, 11, 9, 9, 10, 12, 12, 4, 4, 5 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 5, 1, 1, 2, 1, 2, 2, 3, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 6, 2, 1, 2, 6, 6, 0, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 2, 2, 1, 4, 4, 9, 2, 1, 2, 9, 9, 0, 0, 2, 2, 2, 1, 4, 4, 10, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 9, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 11, 1, 1, 2, 1, 2, 2, 2, 2, 2, 11, 11, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 3, 1, 2, 0, 0, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 5, 1, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 1, 2, 4, 4, 2 ]
[ 1070, 2145, 32, 2304, 32, 731, 32, 1439, 4531, 1188, 319, 203, 823, 4187, 984, 26, 1761, 1972, 711, 284, 2287, 81, 687, 280, 225, 38, 34, 34, 284, 665, 1156, 1664, 3207, 784, 30, 1474, 30, 2287, 81, 687, 280, 1665, 30, 5797, 280, 1665, 711, 291, 3268, 3667, 1664, 3207, 784, 27, 291, 630, 32, 1436, 280, 1474, 291, 415, 2287, 81, 687, 438, 646, 1665, 44, 324, 630, 32, 1517, 81, 687, 280, 2287, 81, 687, 291, 630, 32, 6263, 280, 5797, 291, 442, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 5, 7, 7, 6, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 6, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 5, 5, 2, 2, 7, 7, 2, 1, 1, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 32, 983, 203, 465, 1118, 277, 32, 1163, 203, 1070, 44524, 1188, 44524, 203, 465, 15798, 203, 823, 2108, 1063, 750, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1664, 26, 784, 711, 291, 3570, 280, 1118, 277, 32, 1163, 32, 1063, 1212, 346, 291, 630, 32, 14846, 26, 2957, 438, 1665, 27, 291, 630, 32, 5299, 26, 2957, 32, 371, 7486, 471, 3570, 27, 291, 630, 32, 14846, 26, 2957, 32, 371, 14141, 20767, 84, 1708, 23821, 291, 1541, 280, 3570, 32, 371, 24562, 291, 630, 32, 5299, 26, 1251, 32, 853, 30, 12797, 291, 1541, 280, 3570, 32, 371, 14141, 20767, 84, 1708, 6890, 291, 630, 32, 6549, 26, 1251, 438, 1665, 27, 291, 630, 32, 6549, 26, 2957, 32, 16811, 14141, 20767, 84, 1708, 6890, 438, 1665, 27, 284, 665, 894, 81, 470, 26, 784, 711, 291, 3570, 280, 1118, 277, 32, 1163, 32, 1063, 1212, 346, 291, 630, 32, 14846, 26, 2957, 438, 1665, 27, 291, 630, 32, 5299, 26, 2957, 32, 470, 25619, 41745, 3570, 27, 291, 3570, 32, 470, 14141, 392, 313, 1393, 31, 1762, 3439, 313, 20767, 84, 1708, 657, 291, 1541, 280, 3570, 32, 371, 14141, 392, 313, 1393, 31, 1762, 6890, 291, 630, 32, 5299, 1162, 1251, 32, 853, 30, 1541, 32, 1293, 471, 2884, 20767, 84, 1708, 392, 34612, 291, 1541, 280, 3570, 32, 371, 14141, 1393, 31, 1762, 6890, 291, 630, 32, 5299, 1162, 1251, 32, 853, 30, 1541, 32, 1293, 471, 2884, 20767, 84, 1708, 392, 34612, 291, 3570, 32, 470, 14141, 20767, 84, 1708, 3439, 12797, 291, 1541, 280, 3570, 32, 371, 14141, 20767, 84, 1708, 6890, 291, 630, 32, 5299, 1162, 1251, 32, 853, 30, 1541, 32, 1293, 471, 5989, 835, 34612, 291, 3570, 32, 470, 14141, 20767, 84, 1708, 392, 313, 1094, 3439, 313, 853, 657, 291, 1541, 280, 3570, 32, 371, 14141, 20767, 84, 1708, 392, 313, 1094, 6890, 291, 630, 32, 5299, 1162, 1251, 32, 853, 30, 1541, 32, 1293, 471, 2884, 853, 392, 34612, 291, 630, 32, 5299, 26, 2957, 32, 371, 14141, 20767, 84, 1708, 392, 313, 1094, 41645, 853, 30, 313, 853, 657, 291, 3570, 32, 371, 14141, 20767, 84, 1708, 392, 313, 1094, 41645, 1293, 280, 313, 11555, 291, 1541, 280, 3570, 32, 371, 14141, 20767, 84, 1708, 392, 313, 1094, 3439, 1289, 81, 3617, 47, 1815, 27, 291, 630, 32, 6549, 26, 1251, 438, 1665, 27, 291, 630, 32, 5299, 26, 2957, 32, 371, 14141, 20767, 84, 1708, 392, 313, 1094, 41645, 853, 30, 313, 853, 657, 291, 3570, 32, 371, 14141, 20767, 84, 1708, 392, 313, 1094, 41645, 1293, 280, 3330, 291, 630, 32, 6549, 26, 2957, 32, 371, 14141, 20767, 84, 1708, 392, 313, 1094, 6890, 438, 646, 1665, 27, 291, 630, 32, 5299, 26, 2957, 32, 371, 14141, 20767, 84, 1708, 392, 313, 1094, 41645, 853, 30, 313, 853, 657, 291, 1541, 280, 3570, 32, 16811, 14141, 20767, 84, 1708, 392, 313, 1094, 6890, 291, 630, 32, 5299, 1162, 1251, 32, 853, 30, 1541, 32, 1293, 471, 2884, 853, 392, 34612, 291, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 9, 10, 8, 9, 9, 8, 4, 4, 7, 8, 7, 9, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 9, 7, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 12, 12, 12, 12, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 4, 4, 6, 6, 8, 9, 8, 11, 11, 11, 11, 4, 4, 7, 8, 7, 9, 8, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 10, 13, 13, 13, 13, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 9, 10, 8, 9, 9, 8, 4, 4, 7, 8, 7, 9, 8, 8, 7, 4, 4, 7, 8, 7, 10, 9, 10, 9, 9, 7, 7, 4, 4, 7, 8, 7, 10, 8, 10, 10, 10, 10, 7, 9, 9, 9, 9, 4, 4, 6, 6, 8, 9, 8, 11, 9, 11, 11, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 8, 7, 10, 10, 10, 10, 8, 4, 4, 6, 6, 8, 9, 8, 11, 11, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 8, 7, 10, 10, 10, 10, 8, 4, 4, 7, 8, 7, 10, 10, 10, 10, 7, 4, 4, 6, 6, 8, 9, 8, 11, 11, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 8, 7, 9, 8, 4, 4, 7, 8, 7, 10, 10, 10, 10, 8, 10, 10, 7, 9, 9, 4, 4, 6, 6, 8, 9, 8, 11, 11, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 8, 7, 10, 10, 8, 4, 4, 7, 8, 7, 11, 10, 11, 10, 13, 13, 13, 13, 11, 13, 13, 9, 7, 7, 9, 9, 4, 4, 9, 10, 9, 12, 12, 12, 12, 10, 12, 12, 8, 6, 6, 8, 4, 4, 6, 6, 8, 9, 8, 11, 11, 11, 11, 9, 11, 11, 8, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 9, 8, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 10, 13, 13, 13, 13, 11, 13, 13, 9, 7, 7, 9, 9, 4, 4, 9, 10, 9, 12, 12, 12, 12, 10, 12, 12, 8, 6, 6, 4, 4, 7, 8, 7, 11, 10, 11, 10, 13, 13, 13, 13, 11, 13, 13, 8, 8, 8, 7, 4, 4, 7, 8, 7, 11, 10, 11, 10, 13, 13, 13, 13, 11, 13, 13, 9, 7, 7, 9, 9, 4, 4, 6, 6, 8, 9, 8, 11, 11, 11, 11, 9, 11, 11, 4, 4, 7, 8, 7, 10, 9, 10, 8, 8, 9, 10, 8, 7, 10, 10, 8, 4, 4, 7 ]
[ 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 1, 2, 3, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 3, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 3, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 3, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 3, 4, 4, 0 ]
[ 109, 284, 330, 426, 950, 330, 15020, 24650, 299, 13254, 631, 370, 284, 330, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 3153, 25, 499, 330, 35040, 13136, 370, 284, 330, 2310, 950, 1524, 203, 15020, 42631, 436, 31878, 32, 203, 1281, 7557, 203, 5786, 844, 3240, 556, 17888, 27630, 30, 458, 2297, 6924, 11303, 322, 328, 2086, 11636, 203, 21880, 415, 322, 18198, 438, 372, 526, 328, 2086, 13350, 32, 284, 3330, 392, 284, 330, 2116, 950, 330, 2961, 527, 66, 19217, 370, 284, 330, 12787, 950, 330, 641, 555, 1499, 32, 431, 604, 32, 508, 33, 1637, 33, 26847, 370, 284, 330, 27263, 950, 2107, 15480, 370, 330, 9729, 2188, 284, 330, 605, 950, 5518, 284, 330, 6380, 950, 5518, 284, 330, 858, 950, 2107, 858, 33, 9729, 81, 10969, 81, 7224, 631, 32, 7070, 2188, 284, 330, 3789, 444, 950, 2933, 30, 284, 330, 2837, 81, 3789, 950, 3177, 30, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 3, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 4, 6, 6, 2, 2, 5, 5, 3, 2, 2, 5, 5, 3, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 3, 2, 2, 2, 5, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 5, 1, 1, 2, 0, 0, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 9, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 13, 1, 2, 2, 1, 2, 0, 0, 1, 2, 15, 0, 0, 1, 2, 17, 0, 0, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 21, 0, 0, 0, 1, 1, 1, 2, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2957, 32, 11400, 32, 10514, 1188, 319, 203, 1070, 5296, 16609, 32, 7491, 32, 13775, 32, 19059, 1188, 9128, 4144, 11525, 203, 1070, 638, 4338, 1188, 18860, 40597, 3313, 101, 203, 965, 15719, 280, 15103, 463, 1262, 16609, 32, 7491, 32, 16609, 2300, 32, 4338, 370, 284, 1984, 26, 100, 28249, 37143, 330, 1536, 370, 636, 347, 1536, 81, 2300, 81, 3734, 2113, 284, 1984, 26, 100, 28249, 1358, 33, 3264, 9764, 370, 330, 3264, 81, 3734, 370, 636, 347, 1358, 81, 3264, 81, 3734, 392, 10306, 47, 2665, 26, 302, 81, 1358, 47, 1815, 3662, 284, 1984, 26, 100, 28249, 3264, 9764, 370, 330, 3264, 81, 3734, 370, 636, 347, 3264, 81, 3734, 2113, 284, 1984, 26, 100, 28249, 2946, 9764, 370, 330, 2946, 81, 1338, 370, 636, 347, 2946, 81, 1338, 2113, 284, 1984, 26, 100, 28249, 496, 81, 13775, 9764, 370, 330, 7747, 81, 496, 81, 13775, 370, 636, 1057, 7747, 81, 496, 81, 13775, 1425, 284, 1984, 26, 100, 28249, 2946, 33, 4984, 81, 18622, 81, 12764, 370, 330, 4984, 81, 18622, 81, 12764, 370, 636, 347, 4984, 81, 18622, 81, 12764, 2113, 284, 1984, 26, 100, 28249, 2946, 33, 2946, 81, 6825, 37143, 330, 2946, 81, 6825, 370, 636, 347, 2946, 81, 6825, 2113, 284, 1984, 26, 100, 28249, 2946, 33, 1199, 81, 980, 32467, 370, 330, 1199, 81, 980, 32467, 370, 636, 347, 1199, 81, 980, 32467, 2113, 284, 1984, 26, 100, 28249, 3707, 9764, 370, 330, 2480, 81, 3707, 370, 636, 347, 2480, 81, 3707, 2113, 284, 1984, 26, 100, 28249, 4850, 12715, 81, 1648, 9764, 370, 330, 4850, 12715, 81, 1648, 81, 3734, 370, 636, 1057, 4850, 12715, 81, 1648, 81, 3734, 1425, 284, 1984, 26, 100, 28249, 4116, 81, 6891, 9764, 370, 330, 4116, 81, 6891, 81, 3734, 370, 636, 1057, 4116, 81, 6891, 81, 3734, 1425, 284, 1984, 26, 100, 28249, 1436, 81, 8288, 9764, 370, 330, 1436, 81, 751, 81, 3734, 370, 636, 1057, 1436, 81, 751, 81, 3734, 1425, 284, 1984, 26, 100, 28249, 28693, 9764, 370, 330, 28693, 370, 636, 1057, 3264, 81, 1935, 81, 668, 1425, 284, 1984, 26, 100, 28249, 46139, 81, 4275, 9764, 370, 330, 46139, 81, 4275, 370, 636, 1057, 3264, 81, 46139, 81, 4275, 1425, 284, 1984, 26, 100, 28249, 20798, 33, 1877, 9764, 370, 330, 1877, 81, 20798, 370, 636, 347, 4116, 81, 1877, 2113, 284, 1984, 26, 100, 28249, 15034, 81, 1935, 9764, 370, 330, 15034, 81, 1935, 370, 636, 347, 15034, 81, 1935, 2113, 284, 1984, 26, 100, 28249, 20798, 33, 4984, 9764, 370, 330, 4116, 81, 668, 81, 4984, 370, 636, 347, 4116, 81, 668, 81, 4984, 2113, 284, 1984, 26, 100, 28249, 4108, 338, 1191, 81, 3707, 9764, 370, 330, 4108, 338, 1191, 81, 3707, 370, 636, 347, 4108, 338, 1191, 81, 3707, 2113, 284, 1984, 26, 100, 28249, 4850, 12715, 81, 3550, 9764, 370, 330, 464, 81, 4850, 12715, 81, 3550, 370, 636, 347, 464, 81, 4850, 12715, 81, 3550, 2113, 284, 1984, 26, 100, 28249, 23808, 81, 9089, 81, 2536, 9764, 370, 330, 1809 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 8, 8, 8, 6, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 6, 7, 9, 9, 11, 11, 11, 10, 11, 9, 4, 4, 6, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 6, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 7, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1 ]
[ 1070, 7138, 1188, 7138, 203, 465, 36387, 203, 1070, 36387, 1188, 376, 101, 203, 465, 2322, 203, 465, 17787, 203, 465, 2361, 203, 1070, 706, 536, 1262, 32, 1163, 1188, 12251, 81, 26500, 24854, 203, 823, 309, 37, 2205, 1972, 44, 284, 21565, 81, 2413, 280, 313, 641, 555, 101, 37, 32, 13808, 32, 508, 5681, 284, 21496, 81, 69, 37, 280, 2933, 284, 3834, 81, 1798, 56, 22242, 280, 225, 36, 34, 34, 34, 284, 3849, 69, 81, 1798, 56, 22242, 280, 225, 36, 34, 34, 34, 284, 358, 37, 81, 17484, 280, 3330, 284, 665, 1156, 1664, 3207, 784, 30, 426, 280, 1665, 711, 291, 415, 26, 426, 610, 1665, 711, 324, 630, 32, 6452, 3572, 280, 12251, 81, 26500, 24854, 710, 3955, 81, 6452, 785, 291, 813, 44, 324, 630, 32, 6452, 3572, 280, 636, 291, 309, 37, 2205, 1972, 32, 69, 37, 81, 17484, 280, 12251, 81, 26500, 24854, 710, 3955, 81, 4298, 785, 291, 309, 37, 2205, 1972, 32, 16454, 280, 12251, 81, 26500, 24854, 710, 3955, 81, 3419, 785, 284, 665, 617, 1333, 2205, 26, 784, 30, 983, 30, 10447, 30, 1959, 347, 4747, 657, 499, 291, 415, 26, 101, 37, 2205, 1972, 32, 9352, 81, 69, 37, 27, 499, 324, 309, 37, 3841, 280, 36387, 32, 101, 37, 32, 3517, 81, 452, 81, 3419, 26, 101, 37, 2205, 1972, 32, 16454, 27, 324, 415, 26, 1959, 11490, 4747, 657, 499, 400, 442, 309, 37, 3841, 32, 5536, 81, 965, 26, 101, 37, 2205, 1972, 32, 2413, 81, 1798, 56, 22242, 30, 1411, 30, 630, 32, 6452, 3572, 30, 2430, 5115, 983, 5667, 5681, 474, 10447, 30, 5078, 12516, 1777, 31, 620, 950, 330, 3164, 33, 35751, 31, 2238, 18143, 324, 442, 309, 37, 3841, 32, 5536, 81, 965, 26, 101, 37, 2205, 1972, 32, 2413, 81, 1798, 56, 22242, 30, 1411, 30, 630, 32, 6452, 3572, 30, 2430, 5115, 983, 5667, 5681, 474, 10447, 27, 291, 442, 309, 37, 2205, 1972, 32, 6177, 81, 2413, 474, 2430, 5115, 784, 32, 6452, 3572, 474, 9663, 5115, 983, 5667, 5681, 474, 10447, 284, 665, 622, 15722, 2205, 26, 784, 30, 983, 30, 10447, 30, 1959, 347, 4747, 10280, 291, 415, 26, 1959, 11490, 4747, 10280, 324, 630, 32, 101, 37, 6777, 280, 309, 37, 2205, 1972, 32, 11957, 12956, 318, 10239, 26, 10447, 27, 291, 813, 44, 324, 630, 32, 101, 37, 6777, 280, 11216, 291, 442, 630, 1114, 1333, 2205, 26, 983, 30, 784, 32, 101, 37, 6777, 30, 1411, 27, 284, 477, 16099, 284, 665, 622, 7473, 318, 10239, 26, 3607, 27, 499, 291, 6791, 280, 629, 1162, 6665, 32, 44026, 17662, 6665, 26, 35, 43, 41, 34, 30, 35, 30, 35, 3427, 2999, 81, 6360, 1157, 291, 442, 596, 26, 6360, 34607, 24836, 3607, 284, 477, 16099, 284, 665, 1957, 974, 11763, 26, 3607, 711, 291, 1596, 44, 324, 309, 37, 2205, 1972, 32, 16454, 291, 2940, 29316, 619, 484, 44, 324, 309, 37, 2205, 1972, 32, 16454, 280, 12251, 81, 26500, 24854, 1365, 3955, 81, 3419, 1446, 291, 309, 37, 3841, 280, 36387 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 6, 5, 5, 4, 3, 3, 6, 8, 7, 7, 6, 5, 5, 9, 10, 10, 8, 8, 10, 10, 10, 9, 11, 11, 11, 11, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 4, 4, 8, 8, 8, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 4, 4, 8, 8, 8, 7, 8, 6, 6, 8, 8, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 3, 6, 8, 8, 8, 8, 7, 8, 8, 8, 8, 6, 5, 5, 5, 9, 9, 8, 8, 11, 12, 12, 10, 11, 11, 11, 11, 11, 10, 12, 12, 12, 12, 11, 12, 10, 6, 6, 8, 10, 9, 11, 11, 7, 7, 7, 9, 12, 12, 11, 12, 12, 12, 11, 13, 13, 13, 13, 12, 13, 13, 13, 13, 13, 11, 11, 11, 11, 12, 13, 13, 11, 11, 16, 15, 13, 15, 12, 13, 11, 13, 12, 16, 16, 16, 16, 14, 16, 16, 16, 16, 16, 16, 6, 6, 7, 10, 10, 9, 10, 10, 10, 9, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 9, 9, 9, 9, 10, 11, 11, 9, 9, 14, 13, 11, 13, 10, 11, 9, 4, 4, 5, 13, 13, 13, 12, 13, 13, 13, 11, 11, 13, 12, 11, 12, 12, 9, 11, 11, 9, 7, 9, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 6, 8, 7, 9, 9, 5, 5, 9, 10, 10, 10, 8, 8, 11, 11, 11, 10, 11, 11, 11, 11, 10, 11, 10, 5, 5, 6, 6, 6, 10, 11, 11, 11, 9, 9, 4, 4, 5, 7, 8, 8, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 4, 7, 7, 9, 16, 15, 16, 15, 15, 15, 16, 16, 16, 16, 15, 16, 15, 16, 15, 12, 12, 12, 11, 5, 5, 6, 10, 11, 10, 10, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 6, 6, 10, 10, 10, 9, 10, 6, 6, 7, 8, 8, 7, 7, 7, 12, 12, 12, 11, 12, 10, 10, 12, 12, 12, 11, 13, 13, 13, 13, 5, 5, 8, 8, 7, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 7, 7, 1, 1, 1, 7, 7, 7, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 3, 3, 5, 1, 1, 1, 2, 0, 3, 3, 2, 5, 5, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 3, 3, 6, 1, 1, 2, 1, 2, 3, 2, 5, 2, 0, 7, 1, 2, 6, 6, 6, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 3, 3, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 5, 2, 2, 1, 1, 2, 2, 0, 1, 7, 2, 1, 0, 9, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 5, 2, 2, 1, 1, 2, 2, 0, 1, 7, 2, 1, 4, 4, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 3, 3, 7, 1, 1, 2, 1, 2, 3, 2, 5, 2, 0, 7, 1, 2, 7, 7, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 0, 2, 2, 1, 1, 1, 0, 3, 2, 2, 2, 1, 1, 1, 3, 3, 1, 8, 8, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 5, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 3, 3, 1, 9, 9, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 1, 1, 3, 3, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0 ]
[ 465, 14777, 203, 1070, 8513, 4997, 32, 3731, 81, 1647, 32, 3527, 32, 11452, 1188, 7587, 858, 14070, 203, 1070, 8513, 4997, 32, 3731, 81, 1647, 32, 35979, 460, 81, 2121, 1188, 8513, 4997, 6052, 1761, 203, 1070, 8513, 4997, 32, 2304, 32, 15215, 81, 1298, 1188, 622, 81, 3368, 81, 11368, 203, 823, 16600, 26, 3582, 4997, 6052, 1761, 711, 284, 665, 1156, 1664, 3207, 784, 30, 16895, 711, 291, 415, 16895, 610, 330, 51, 81, 29705, 950, 324, 630, 32, 297, 81, 42926, 81, 1003, 280, 630, 1114, 297, 81, 51, 81, 29705, 81, 42926, 81, 1003, 291, 4348, 16895, 610, 330, 6537, 106, 950, 324, 630, 32, 297, 81, 42926, 81, 1003, 280, 630, 1114, 297, 81, 1444, 106, 81, 42926, 81, 1003, 284, 665, 617, 297, 81, 1444, 106, 81, 42926, 81, 1003, 26, 784, 30, 2464, 44, 14777, 32, 6461, 32, 12513, 27, 967, 1560, 44, 291, 8209, 3368, 280, 2464, 32, 297, 441, 5228, 3368, 346, 291, 2340, 280, 2464, 32, 1643, 463, 18103, 31, 2826, 31, 2918, 683, 291, 415, 8209, 3368, 2511, 225, 38, 44, 324, 442, 2933, 291, 4348, 8209, 3368, 610, 225, 39, 44, 324, 415, 2464, 333, 14777, 32, 371, 26, 88, 15907, 770, 111, 225, 36, 36, 44, 34, 34, 7831, 261, 610, 225, 40, 44, 324, 442, 3177, 291, 4348, 8209, 3368, 610, 225, 41, 44, 324, 415, 2464, 2377, 14777, 32, 371, 26, 88, 15907, 770, 111, 225, 36, 35, 44, 34, 34, 7831, 400, 442, 2933, 291, 442, 3177, 284, 665, 617, 297, 81, 51, 81, 29705, 81, 42926, 81, 1003, 26, 784, 30, 2464, 44, 14777, 32, 6461, 32, 12513, 27, 967, 1560, 44, 291, 8209, 3368, 280, 2464, 32, 297, 441, 5228, 3368, 346, 291, 2340, 280, 2464, 32, 1643, 463, 18103, 31, 2826, 31, 2918, 683, 291, 415, 630, 32, 2121, 32, 3731, 81, 15710, 610, 330, 54, 950, 324, 415, 8209, 3368, 2511, 225, 39, 44, 400, 442, 2933, 291, 813, 44, 324, 415, 8209, 3368, 2511, 225, 39, 44, 400, 2841, 81, 35, 280, 14777, 32, 371, 26, 88, 15907, 770, 111, 225, 34, 43, 44, 37, 34, 683, 400, 2091, 81, 35, 280, 14777, 32, 371, 26, 88, 15907, 770, 111, 225, 35, 35, 44, 37, 34, 683, 400, 2841, 81, 36, 280, 14777, 32, 371, 26, 88, 15907, 770, 111, 225, 35, 37, 44, 34, 34, 683, 400, 2091, 81, 36, 280, 14777, 32, 371, 26, 88, 15907, 770, 111, 225, 35, 39, 44, 34, 34, 683, 400, 415, 2841, 81, 35, 2511, 2464, 2511, 2091, 81, 35, 556, 2841, 81, 36, 2511, 2464, 2511, 2091, 81, 36, 44, 528, 442, 2933, 291, 442, 3177, 284, 665, 1974, 81, 10542, 26, 784, 711, 291, 415, 630, 32, 2121, 32, 297, 81, 9732, 81, 42926, 44, 324, 630, 32, 2121, 32, 3731, 81, 770, 280, 14777, 32, 44026, 922, 1643, 463, 18103, 31, 2826, 31, 2918, 21631, 44, 2840, 44, 422, 683, 291, 813, 44, 324, 630, 1114, 1553, 81, 10172, 332, 346, 324, 12488, 280, 622, 81, 3368, 81, 11368 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 8, 8, 8, 8, 5, 5, 9, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 11, 11, 11, 11, 11, 9, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 8, 9, 7, 8, 4, 3, 3, 3, 3, 3, 7, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 7, 6, 6, 7, 5, 5, 5, 7, 5, 5, 6, 8, 7, 7, 8, 6, 6, 6, 8, 9, 9, 11, 12, 11, 13, 13, 14, 13, 13, 13, 13, 13, 13, 13, 13, 8, 8, 9, 10, 9, 7, 7, 8, 5, 5, 6, 8, 7, 7, 8, 6, 6, 6, 8, 9, 9, 11, 12, 11, 13, 13, 14, 13, 13, 13, 13, 13, 13, 13, 13, 8, 8, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 8, 9, 7, 8, 4, 3, 3, 3, 3, 3, 7, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 8, 9, 7, 8, 8, 8, 6, 6, 8, 8, 5, 5, 7, 9, 8, 8, 9, 7, 7, 7, 9, 5, 5, 6, 6, 6, 8, 10, 9, 9, 10, 8, 8, 8, 12, 12, 11, 11, 13, 14, 13, 15, 15, 16, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 11, 11, 13, 14, 13, 15, 15, 16, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 11, 11, 13, 14, 13, 15, 15, 16, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 12, 12, 11, 11, 13, 14, 13, 15, 15, 16, 15, 15, 15, 15, 15, 15, 15, 15, 9, 9, 10, 13, 13, 12, 12, 12, 12, 13, 13, 11, 11, 13, 13, 12, 12, 12, 12, 13, 13, 10, 10, 10, 12, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 6, 7, 7, 7, 7, 7, 5, 5, 5, 10, 11, 9, 10, 10, 10, 8, 8, 12, 13, 12, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 5, 5, 6, 6, 6, 10, 11, 11, 11, 11, 10, 7, 7, 9, 9, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 4, 1, 6, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 4, 4, 4, 4, 2, 2, 0, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 4, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 6, 6, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 4, 0, 1, 1, 2, 4, 4, 4, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 0, 0, 3, 1, 3, 3, 3, 1, 2, 2, 5, 0, 1, 1, 2, 5, 5, 5, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 0, 0, 0, 6, 6, 3, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 6, 6, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 6, 6, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 4, 4, 4, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 4, 0, 6, 6, 3, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0 ]
[ 505, 2116, 505, 280, 313, 34411, 559, 352, 93, 333, 3513, 352, 93, 50, 7971, 295, 32, 1173, 5844, 203, 465, 15798, 203, 1070, 420, 404, 23328, 1188, 1201, 81, 6939, 30, 5040, 81, 452, 203, 1070, 29213, 500, 1188, 10613, 203, 823, 20112, 685, 3205, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 1439, 37, 40, 81, 4434, 81, 5460, 81, 35, 26, 784, 711, 291, 1201, 81, 6939, 26, 3205, 32, 1439, 37, 40, 4434, 26, 35, 471, 5040, 81, 452, 440, 35, 2131, 291, 1201, 81, 6939, 26, 3205, 32, 1439, 37, 40, 5460, 440, 35, 2113, 5040, 81, 452, 26, 35, 490, 284, 665, 894, 81, 1439, 37, 40, 81, 4434, 81, 35, 34, 26, 784, 711, 291, 1201, 81, 6939, 26, 3205, 32, 1439, 37, 40, 4434, 26, 35, 34, 471, 5040, 81, 452, 440, 51, 2131, 291, 1201, 81, 6939, 26, 3205, 32, 1439, 37, 40, 5460, 440, 51, 2113, 5040, 81, 452, 26, 35, 34, 490, 284, 665, 894, 81, 1439, 37, 40, 81, 4434, 81, 35, 34, 34, 26, 784, 711, 291, 1201, 81, 6939, 26, 3205, 32, 1439, 37, 40, 4434, 26, 35, 34, 34, 471, 5040, 81, 452, 440, 36, 69, 2131, 291, 1201, 81, 6939, 26, 3205, 32, 1439, 37, 40, 5460, 440, 36, 69, 2113, 5040, 81, 452, 26, 35, 34, 34, 490, 284, 665, 894, 81, 1439, 37, 40, 81, 4434, 81, 35, 34, 34, 34, 34, 26, 784, 711, 291, 1201, 81, 6939, 26, 3205, 32, 1439, 37, 40, 4434, 26, 35, 34, 34, 34, 34, 471, 5040, 81, 452, 440, 41, 4238, 2131, 291, 1201, 81, 6939, 26, 3205, 32, 1439, 37, 40, 5460, 440, 41, 4238, 2113, 5040, 81, 452, 26, 35, 34, 34, 34, 34, 490, 284, 665, 894, 81, 1439, 37, 40, 81, 4434, 81, 6126, 81, 4021, 26, 784, 711, 291, 1201, 81, 6939, 26, 3205, 32, 1439, 37, 40, 4434, 26, 35, 30, 9789, 81, 1322, 47, 36, 471, 5040, 81, 452, 440, 34, 35, 2131, 284, 665, 894, 81, 1439, 37, 40, 81, 4434, 81, 6126, 81, 3222, 26, 784, 711, 291, 1201, 81, 6939, 26, 3205, 32, 1439, 37, 40, 4434, 26, 35, 34, 34, 34, 34, 30, 9789, 81, 1322, 47, 36, 471, 5040, 81, 452, 440, 41, 4238, 2131, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 10, 9, 7, 9, 9, 9, 11, 11, 4, 4, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 11, 11, 7, 9, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 10, 10, 9, 7, 9, 9, 9, 11, 11, 4, 4, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 11, 11, 7, 9, 9, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 10, 10, 10, 9, 7, 9, 9, 9, 11, 11, 11, 4, 4, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 11, 11, 11, 7, 9, 9, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 7, 9, 9, 9, 11, 11, 11, 4, 4, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 11, 11, 11, 7, 9, 9, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 10, 9, 9, 11, 11, 10, 11, 9, 7, 9, 9, 9, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 10, 9, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 9, 11, 11, 10, 11, 9, 7, 9, 9, 9, 11, 11, 11, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 4, 4, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 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, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 0, 0, 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 ]
[ 465, 2322, 203, 589, 2156, 3034, 81, 2669, 81, 2285, 2262, 284, 6642, 81, 9036, 81, 2413, 47, 500, 32, 12757, 32, 371, 463, 2636, 81, 9036, 81, 2413, 370, 330, 525, 555, 35, 36, 41, 32, 34, 32, 34, 32, 35, 44, 37, 39, 37, 39, 41, 33, 104, 36, 32, 34, 25844, 284, 6642, 81, 13001, 47, 500, 32, 12757, 32, 371, 463, 2636, 81, 13001, 370, 1665, 27, 284, 6642, 81, 16454, 81, 2474, 47, 500, 32, 12757, 32, 371, 463, 2636, 81, 16454, 81, 2474, 370, 1665, 27, 284, 6642, 81, 19452, 47, 500, 32, 12757, 32, 371, 463, 2636, 81, 19452, 370, 330, 2300, 683, 284, 6642, 81, 32986, 4516, 81, 2474, 47, 500, 32, 12757, 32, 371, 463, 2636, 81, 32986, 4516, 81, 2474, 370, 6642, 81, 19452, 27, 284, 1374, 280, 5436, 26, 291, 6207, 81, 699, 5688, 280, 5436, 26, 1536, 47, 2636, 81, 19452, 471, 291, 3796, 81, 965, 6797, 280, 5436, 26, 1536, 47, 2636, 81, 9036, 81, 2413, 471, 291, 6699, 81, 426, 6022, 280, 5436, 26, 1536, 47, 2636, 81, 16454, 81, 2474, 471, 291, 24144, 81, 5634, 3389, 280, 5436, 26, 1536, 47, 2521, 471, 284, 829, 284, 415, 6642, 81, 13001, 44, 291, 1374, 710, 3615, 81, 2895, 785, 280, 5436, 26, 1536, 47, 2636, 81, 13001, 27, 284, 813, 44, 291, 1374, 710, 3615, 81, 2895, 785, 280, 5436, 26, 3648, 47, 1815, 27, 284, 415, 6642, 81, 32986, 4516, 81, 2474, 44, 291, 1374, 710, 3615, 81, 15213, 81, 426, 785, 280, 5436, 26, 1536, 47, 2636, 81, 32986, 4516, 81, 2474, 27, 284, 813, 44, 291, 1374, 710, 3615, 81, 15213, 81, 426, 785, 280, 5436, 26, 3648, 47, 1815, 27, 284, 442, 1374, 203, 589, 2156, 3034, 81, 1809, 81, 31205, 81, 15097, 26, 15097, 30, 1447, 81, 2142, 30, 1202, 81, 426, 47, 2521, 711, 284, 2152, 280, 1605, 284, 436, 308, 93, 30, 354, 27, 328, 11019, 32, 40957, 2262, 291, 415, 1202, 81, 426, 461, 831, 610, 1202, 81, 426, 44, 324, 2152, 32, 8233, 2009, 36770, 710, 3225, 785, 436, 1015, 3666, 328, 354, 1130, 291, 813, 44, 324, 436, 2568, 81, 2285, 328, 354, 44, 400, 415, 330, 2636, 31, 2399, 31, 24013, 44, 681, 25, 328, 2568, 81, 2285, 461, 2568, 81, 2285, 710, 2636, 31, 2399, 31, 24013, 44, 681, 785, 610, 1447, 81, 2142, 44, 528, 2152, 32, 1689, 26, 3337, 81, 2285, 710, 3225, 3490, 284, 442, 2152, 203, 589, 2156, 3034, 81, 2620, 81, 2669, 81, 2285, 14605, 5321, 711, 284, 1374, 280, 5436, 26, 291, 8668, 47, 2665, 26, 1536, 47, 2521, 471, 291, 3796, 81, 681, 47, 2665, 26, 1536, 47, 2521, 471, 291, 3796, 47, 2665, 26, 1536, 47, 2521, 471, 291, 6699, 81, 426, 47, 2665, 26, 1536, 47, 2521, 471, 291, 24144, 81, 5634, 47, 2665, 26, 1536, 47, 2521, 471, 291, 6144, 47, 2665, 26, 1536, 47, 1815, 30, 20664, 11414, 4635, 81, 23545, 16578, 291, 281, 329, 581, 47, 2665, 26, 1536, 47, 2521, 471, 291, 6445 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 4, 8, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 4, 8, 7, 8, 6, 7, 6, 8, 8, 8, 8, 6, 6, 2, 2, 5, 5, 5, 5, 4, 8, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 6, 6, 2, 2, 5, 5, 4, 8, 7, 8, 6, 7, 6, 8, 8, 8, 8, 6, 8, 8, 2, 2, 5, 5, 5, 5, 5, 4, 8, 7, 8, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 8, 8, 7, 7, 7, 9, 11, 10, 11, 11, 11, 9, 6, 6, 8, 8, 7, 7, 7, 9, 11, 10, 11, 11, 11, 11, 11, 9, 6, 6, 8, 8, 7, 7, 7, 9, 11, 10, 11, 11, 11, 11, 11, 9, 6, 6, 8, 8, 7, 7, 7, 9, 11, 10, 11, 9, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 7, 9, 9, 9, 9, 6, 6, 8, 10, 9, 10, 10, 10, 8, 3, 3, 4, 4, 4, 8, 10, 10, 10, 10, 7, 7, 9, 11, 10, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 3, 3, 3, 7, 9, 9, 9, 9, 9, 9, 6, 6, 8, 10, 9, 10, 10, 10, 10, 10, 10, 8, 3, 3, 4, 4, 4, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 11, 10, 11, 9, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 2, 2, 3, 5, 4, 4, 4, 3, 3, 5, 6, 5, 3, 3, 5, 7, 7, 6, 6, 7, 7, 8, 8, 5, 5, 5, 9, 10, 9, 12, 11, 13, 13, 10, 11, 12, 11, 11, 10, 5, 5, 6, 6, 6, 8, 9, 9, 8, 8, 8, 8, 8, 10, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 13, 13, 11, 11, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 13, 13, 10, 10, 10, 14, 15, 14, 16, 16, 16, 15, 17, 17, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 4, 4, 6, 6, 6, 7, 9, 9, 11, 10, 11, 9, 6, 6, 8, 8, 7, 9, 9, 11, 10, 11, 9, 6, 6, 7, 9, 9, 11, 10, 11, 9, 6, 6, 8, 8, 7, 9, 9, 11, 10, 11, 9, 6, 6, 8, 8, 7, 9, 9, 11, 10, 11, 9, 6, 6, 7, 9, 9, 11, 10, 11, 9, 9, 10, 13, 13, 13, 13, 6, 6, 8, 8, 7, 9, 9, 11, 10, 11, 9, 6, 6 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 3, 3, 3, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 5, 5, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 7, 7, 7, 1, 0, 1, 2, 1, 1, 1, 4, 4, 6, 1, 1, 6, 6, 6, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 6, 6, 4, 4, 4, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 7, 1, 1, 1, 1, 1, 7, 7, 7, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 7, 7, 4, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 8, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 4, 4, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 3, 0, 1, 0, 1, 2, 1, 1, 1, 5, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 7, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 9, 0, 1, 0, 1, 2, 1, 1, 1, 11, 0, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 0, 0, 13, 0, 1, 0, 1, 2, 1, 1, 1 ]
[ 1070, 48885, 38, 32, 103, 295, 32, 11452, 1188, 27731, 3763, 924, 203, 589, 11319, 26, 5350, 711, 284, 4323, 81, 1517, 280, 225, 35, 284, 1596, 44, 291, 4323, 81, 1517, 280, 5398, 32, 7844, 346, 284, 2940, 45338, 30, 484, 44, 291, 5398, 32, 267, 81, 2338, 924, 26, 87, 27, 284, 2940, 14277, 924, 30, 484, 44, 291, 5398, 32, 267, 81, 40672, 26, 87, 27, 284, 2940, 27731, 3763, 924, 30, 484, 44, 291, 5398, 32, 267, 81, 26373, 3763, 924, 26, 87, 27, 284, 2940, 3268, 30, 484, 44, 291, 5398, 32, 267, 81, 984, 26, 87, 27, 284, 442, 4323, 81, 1517, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 3, 3, 3, 7, 7, 6, 6, 8, 9, 8, 3, 3, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 8, 9, 8, 3, 3, 4, 5, 4, 4, 4, 4, 4, 8, 9, 9, 9, 8, 9, 8, 3, 3, 4, 5, 5, 4, 4, 4, 4, 4, 8, 9, 9, 9, 9, 9, 8, 9, 8, 3, 3, 4, 4, 4, 4, 4, 4, 8, 9, 9, 9, 8, 9, 8, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 4, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 1, 4, 4, 4, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 1, 1, 5, 5, 5, 5, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 0, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2361, 203, 465, 5741, 203, 465, 5237, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 12870, 81, 5379, 1188, 2869, 81, 800, 203, 465, 27435, 5136, 81, 5098, 619, 27435, 81, 5136, 81, 1237, 203, 1070, 638, 3625, 83, 81, 1439, 1188, 16674, 83, 13976, 30, 16674, 83, 4140, 30, 19915, 8770, 203, 1070, 5205, 83, 1188, 18641, 470, 1690, 203, 1070, 638, 6654, 1188, 15601, 203, 1070, 816, 1647, 32, 106, 81, 1647, 1188, 1593, 2459, 30, 2297, 81, 2437, 30, 2279, 21320, 2893, 81, 5767, 33305, 81, 8055, 203, 1070, 816, 1647, 32, 1294, 81, 1647, 1188, 16289, 4327, 203, 1070, 816, 1647, 32, 11452, 1188, 22931, 924, 30, 22403, 924, 203, 751, 280, 5741, 32, 10579, 440, 16520, 32, 7632, 1396, 657, 203, 823, 16674, 83, 2459, 26, 5529, 83, 13976, 30, 1593, 2459, 711, 284, 4269, 81, 823, 280, 330, 14211, 25, 284, 4060, 280, 301, 291, 330, 24280, 950, 428, 324, 2869, 81, 800, 4064, 426, 7642, 330, 754, 33, 1617, 33, 3625, 83, 33, 2751, 32, 24280, 1425, 324, 2869, 81, 800, 4064, 426, 7642, 330, 754, 33, 1617, 33, 4259, 81, 4554, 32, 24280, 1425, 291, 2505, 291, 330, 754, 950, 428, 324, 2869, 81, 800, 4064, 426, 7642, 330, 754, 33, 1617, 33, 47349, 32, 754, 1425, 324, 2869, 81, 800, 4064, 426, 7642, 330, 754, 33, 1617, 33, 3625, 83, 33, 893, 1131, 32, 754, 1425, 324, 2869, 81, 800, 4064, 426, 7642, 330, 754, 33, 1617, 33, 3625, 83, 33, 3158, 11321, 32, 754, 1425, 291, 1481, 284, 320, 284, 4060, 81, 1647, 81, 426, 280, 313, 14764, 20, 284, 9712, 280, 5053, 11354, 950, 428, 3142, 81, 800, 4064, 426, 7642, 330, 2079, 33, 3625, 83, 33, 2751, 32, 11354, 683, 6653, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 5529, 83, 2459, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 284, 665, 2887, 81, 6825, 26, 784, 30, 7520, 30, 706, 711, 291, 15098, 280, 301, 324, 330, 12118, 81, 1640, 950, 630, 32, 12118, 81, 1640, 30, 324, 330, 14211, 81, 371, 950, 630, 32, 371, 81, 14211, 30, 324, 330, 14211, 81, 1553, 950, 630, 32, 1553, 81, 14211, 30, 324, 330, 14211, 81, 4534, 950, 630, 32, 4534, 81, 14211, 30, 324, 330, 14211, 81, 2853, 950, 630, 32, 2853, 81, 14211, 30, 324, 330, 14211, 81, 2245, 950, 630, 32, 371, 81, 10004, 30, 324, 330, 5020, 81, 1877, 950, 630, 32, 1877, 81, 5020, 30, 324, 330, 1131, 81, 6825, 950, 630, 32, 2956, 81, 1131, 81, 6825, 30, 324, 330, 311, 33987, 81, 1986, 950, 630, 32, 2956, 81, 311, 33987, 81, 1986, 291, 320, 291, 617, 280, 630, 32, 4689, 32, 2122, 26, 784, 30, 313, 91, 35, 42, 96, 1895, 103, 33170, 291, 10140, 81, 731, 81, 1436, 280, 29702, 324, 313, 3122, 4484, 17636, 30, 2017, 1597, 600, 1048, 623, 8202, 1370, 1326, 32, 313, 324, 313, 6574, 1596, 316, 6696, 1370, 1938, 461, 7667, 4056, 3107, 291, 829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 5, 5, 8, 8, 6, 7, 7, 9, 9, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 5, 5, 8, 8, 6, 7, 7, 9, 9, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 8, 8, 6, 9, 9, 9, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 8, 9, 10, 10, 10, 10, 10, 7, 7, 7, 10, 10, 10, 10, 10, 8, 9, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 6, 6, 10, 11, 9, 10, 9, 10, 9, 9, 11, 11, 11, 11, 11, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 8, 8, 0, 8, 8, 0, 9, 9, 0, 1, 2, 2, 2, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 0, 1, 2, 2, 2, 10, 10, 0, 0, 11, 11, 0, 1, 2, 11, 11, 0, 11, 11, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 13, 13, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 11, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 13, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 15, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 17, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 323, 1253, 81, 1506, 107, 32, 1637, 81, 1473, 1188, 6012, 959, 203, 1070, 323, 1253, 81, 1506, 107, 32, 12534, 1188, 4664, 30, 14893, 7965, 203, 1070, 4942, 32, 858, 32, 7494, 723, 32, 5646, 32, 13080, 1188, 21565, 81, 2413, 203, 1070, 4942, 32, 858, 32, 7494, 723, 32, 5646, 32, 2282, 32, 2304, 1188, 5021, 81, 2079, 30, 8655, 81, 13232, 203, 1070, 4942, 32, 858, 32, 7494, 723, 32, 5646, 32, 13080, 32, 2304, 1188, 827, 81, 266, 81, 687, 16732, 203, 823, 9095, 1969, 26, 1969, 959, 711, 284, 8912, 81, 4620, 758, 280, 5608, 1637, 31, 2111, 31, 1311, 25, 284, 8912, 81, 10840, 81, 4620, 758, 280, 5608, 1637, 31, 2111, 638, 106, 1521, 31, 1495, 31, 1131, 25, 284, 8912, 81, 6447, 81, 42412, 81, 4620, 758, 280, 5608, 1637, 31, 2111, 638, 5098, 31, 106, 1521, 31, 1495, 25, 284, 8897, 81, 26636, 81, 9779, 69, 81, 4620, 758, 280, 5608, 8856, 31, 1141, 31, 1640, 77, 605, 31, 8856, 31, 1141, 347, 669, 31, 9785, 31, 6332, 1446, 25, 284, 665, 1156, 1664, 3207, 784, 30, 5427, 30, 31170, 711, 291, 2599, 26, 2879, 1969, 30, 630, 14585, 1664, 3207, 7128, 27, 291, 630, 32, 25102, 280, 31170, 284, 477, 2433, 284, 665, 1984, 26, 784, 711, 291, 442, 19436, 33, 2630, 22298, 2296, 1643, 26, 6177, 81, 2413, 30, 630, 32, 25102, 27, 284, 477, 2433, 284, 665, 636, 26, 784, 711, 291, 27840, 280, 630, 32, 99, 26, 2079, 47, 784, 32, 2474, 81, 4620, 758, 547, 878, 291, 415, 27840, 44, 324, 442, 27840, 77, 34, 79, 291, 813, 44, 324, 442, 1665, 284, 665, 438, 81, 7128, 81, 267, 81, 1637, 26, 784, 711, 291, 665, 617, 106, 1521, 81, 998, 26, 823, 81, 426, 30, 1326, 81, 1956, 711, 324, 442, 2069, 26, 784, 32, 99, 26, 2079, 1057, 109, 1548, 81, 9003, 111, 638, 106, 1521, 12604, 823, 81, 426, 12893, 605, 31, 1357, 31, 1956, 15476, 1357, 81, 1956, 111, 1446, 2473, 1643, 26, 400, 3361, 81, 9003, 47, 74, 2227, 4672, 32, 16938, 81, 4620, 758, 30, 443, 81, 426, 47, 823, 81, 426, 30, 1326, 81, 1956, 47, 1357, 81, 1956, 324, 225, 3427, 4295, 27, 291, 665, 617, 297, 81, 15009, 81, 6696, 2262, 324, 438, 81, 5087, 280, 3177, 324, 706, 81, 1357, 81, 7594, 280, 630, 32, 99, 26, 2079, 1057, 77, 605, 31, 1357, 31, 1956, 26392, 324, 415, 2069, 26, 605, 81, 1357, 81, 7594, 27, 848, 225, 34, 44, 400, 1326, 81, 1956, 280, 706, 81, 1357, 81, 7594, 32, 2232, 32, 10407, 463, 605, 31, 1357, 31, 1956, 11968, 34, 79, 400, 1929, 81, 34745, 280, 2069, 26, 784, 32, 99, 26, 2079, 1057, 2537, 428, 605, 31, 1357, 31, 1956, 347, 2537, 1446, 2473, 1643, 26, 74, 2227, 4672, 32, 16938, 81, 4620, 758, 30, 1326, 81, 1956, 3427, 4295, 27, 400, 1929, 81, 16165, 81, 106, 8587, 280, 617, 106, 1521, 81, 998, 463, 106, 1521, 31, 16165, 370, 1326, 81, 1956, 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, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 10, 10, 10, 9, 8, 9, 9, 9, 8, 8, 9, 10, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 7, 7, 10, 11, 10, 12, 11, 13, 12, 13, 13, 13, 13, 10, 9, 5, 5, 6, 6, 6, 6, 8, 9, 10, 9, 6, 6, 7, 7, 7, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 7, 7, 6, 5, 5, 7, 9, 13, 12, 13, 12, 14, 13, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 15, 15, 15, 17, 17, 16, 18, 18, 18, 17, 18, 18, 18, 18, 15, 15, 17, 17, 16, 17, 17, 17, 15, 15, 17, 17, 16, 17, 17, 17, 15, 15, 15, 11, 9, 4, 4, 5, 6, 6, 6, 6, 6, 6, 5, 5, 9, 9, 8, 8, 6, 6, 9, 9, 9, 9, 8, 8, 10, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 6, 6, 7, 10, 11, 11, 11, 11, 11, 10, 8, 8, 9, 7, 7, 7, 11, 11, 10, 10, 15, 15, 15, 15, 14, 15, 13, 14, 13, 15, 15, 15, 15, 15, 15, 12, 11, 8, 8, 11, 11, 10, 10, 12, 16, 15, 16, 15, 17, 16, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 18, 20, 20, 20, 19, 20, 20, 20, 20, 18, 18, 19, 19, 18, 14, 12, 8, 8, 11, 11, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 14, 14, 14, 14, 14, 12, 13, 13, 12 ]
[ 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 1, 6, 1, 8, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 4, 1, 6, 1, 8, 1, 10, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 1, 6, 1, 8, 1, 10, 4, 4, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 5, 5, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 6, 6, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 4, 4, 4, 0, 4, 4, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 3, 3, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1 ]