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

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
depths
listlengths
512
512
sibling_idxs
listlengths
512
512
[ 465, 5167, 203, 465, 1913, 1040, 203, 465, 27374, 203, 1070, 7138, 1188, 7138, 30, 30784, 203, 589, 622, 81, 7010, 81, 452, 81, 25072, 26, 19111, 711, 284, 415, 2069, 26, 19111, 27, 610, 225, 34, 44, 291, 442, 2149, 284, 6977, 81, 452, 81, 7345, 280, 2149, 284, 1596, 44, 291, 22002, 280, 1913, 1040, 32, 371, 81, 1260, 81, 1473, 81, 1070, 81, 965, 440, 641, 555, 1237, 32, 290, 1771, 12313, 32, 508, 33, 25072, 8172, 19111, 1279, 16054, 1643, 46508, 32, 2524, 26, 19111, 2610, 710, 4295, 785, 291, 436, 15358, 328, 22002, 44, 324, 415, 15358, 44, 400, 6977, 81, 452, 81, 7345, 77, 7345, 710, 7010, 18038, 280, 15358, 284, 2940, 3268, 619, 484, 44, 291, 27374, 32, 1216, 81, 14806, 346, 291, 1459, 440, 2930, 44, 313, 474, 596, 26, 87, 490, 284, 442, 6977, 81, 452, 81, 7345, 203, 589, 622, 81, 12325, 81, 14991, 26, 770, 711, 284, 15986, 81, 770, 280, 1913, 1040, 32, 371, 81, 1260, 81, 1473, 81, 1070, 81, 965, 440, 641, 555, 1237, 32, 290, 1771, 12313, 32, 508, 33, 1826, 5231, 33, 21349, 1099, 33, 14991, 46052, 2296, 1643, 26, 770, 490, 284, 442, 15986, 81, 770, 203, 589, 2290, 81, 2135, 81, 12325, 81, 1676, 81, 770, 2262, 284, 2464, 280, 7138, 32, 44026, 346, 284, 2340, 81, 466, 280, 2464, 32, 20834, 15339, 75, 9299, 95, 9299, 86, 683, 284, 1477, 280, 7138, 32, 44832, 26, 770, 81, 466, 30, 5461, 75, 9299, 95, 9299, 86, 657, 284, 2218, 2933, 44, 291, 15986, 81, 14991, 280, 622, 81, 12325, 81, 14991, 26, 1366, 32, 20834, 15339, 75, 9299, 95, 9299, 86, 2847, 291, 15986, 81, 1676, 81, 1003, 280, 15986, 81, 14991, 710, 17042, 81, 11593, 81, 269, 785, 291, 2464, 81, 466, 280, 2464, 32, 9328, 1643, 346, 291, 415, 15986, 81, 14991, 710, 297, 81, 1676, 785, 461, 2464, 81, 466, 848, 15986, 81, 1676, 81, 1003, 44, 324, 442, 1477, 32, 20834, 15339, 75, 9299, 95, 9299, 86, 683, 291, 1477, 280, 1477, 429, 30784, 26, 6124, 47, 35, 27, 203, 589, 622, 81, 15072, 35918, 26, 7010, 711, 284, 15127, 35918, 280, 1913, 1040, 32, 371, 81, 1260, 81, 1473, 81, 1070, 81, 965, 440, 641, 555, 1237, 32, 290, 1771, 12313, 32, 508, 33, 15072, 35918, 46052, 2296, 1643, 26, 7010, 490, 284, 442, 15127, 35918, 203, 589, 622, 81, 7345, 26, 7010, 711, 284, 442, 1913, 1040, 32, 371, 81, 1260, 81, 1473, 81, 1070, 81, 965, 440, 641, 555, 1237, 32, 290, 1771, 12313, 32, 508, 33, 25072, 46052, 2296, 1643, 26, 7010, 490, 203, 589, 622, 81, 17960, 81, 979, 81, 7010, 26, 7010, 711, 284, 6977, 81, 452, 81, 7345, 280, 622, 81, 7010, 81, 452, 81, 25072, 2009, 7010, 1130, 284, 15358, 280, 6977, 81, 452, 81, 7345, 77, 7010, 79, 284, 442, 5167, 32, 371, 26, 7345, 1365, 17960, 41645, 1260, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 6, 4, 4, 5, 3, 3, 3, 5, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 6, 6, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 11, 13, 14, 13, 14, 13, 7, 9, 9, 4, 4, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 12, 12, 12, 12, 11, 13, 12, 14, 14, 10, 10, 3, 3, 4, 5, 5, 4, 4, 4, 8, 9, 9, 9, 8, 5, 5, 8, 11, 11, 11, 9, 9, 11, 12, 11, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 8, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 11, 10, 11, 10, 12, 12, 12, 12, 12, 12, 4, 4, 7, 7, 7, 7, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 5, 8, 8, 7, 9, 9, 9, 9, 6, 6, 8, 8, 7, 7, 8, 8, 8, 8, 5, 5, 5, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 7, 7, 9, 11, 10, 11, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 8, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 8, 7, 2, 2, 4, 4, 6, 6, 6, 6, 5, 6, 5, 2, 2, 3, 7, 8, 7, 9, 8, 10, 10, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 3, 1, 1, 3, 3, 3, 0, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 3, 3, 3, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 1, 1, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 12643, 203, 465, 1133, 203, 465, 13134, 203, 465, 6436, 619, 2065, 203, 465, 18603, 32, 8712, 2755, 619, 12816, 1733, 203, 465, 18603, 32, 8712, 619, 12816, 203, 465, 4527, 203, 465, 5237, 203, 465, 18603, 32, 8712, 2755, 32, 39456, 1054, 2410, 619, 394, 95, 203, 465, 19571, 203, 465, 31074, 203, 589, 5246, 9573, 518, 81, 605, 26, 605, 30, 7350, 81, 2184, 30, 1410, 30, 17805, 81, 2705, 30, 298, 404, 81, 16676, 47, 1815, 30, 3104, 81, 16676, 47, 1815, 711, 284, 5881, 284, 22416, 688, 706, 4304, 322, 225, 37, 34, 2302, 284, 3217, 739, 432, 5359, 645, 1510, 1591, 883, 1930, 312, 5801, 436, 2504, 1591, 284, 5881, 17946, 1169, 81, 25978, 280, 706, 710, 37, 34, 2302, 5695, 4699, 26, 1657, 547, 2810, 284, 5799, 81, 27959, 280, 2065, 32, 5665, 26, 464, 81, 25978, 27, 284, 1929, 81, 27959, 280, 2069, 26, 5665, 81, 27959, 27, 284, 1201, 1929, 81, 27959, 610, 225, 35, 30, 313, 3163, 1755, 1159, 17211, 432, 312, 3982, 3104, 30, 1273, 2431, 904, 101, 44, 904, 101, 20, 904, 308, 1516, 81, 27959, 30, 596, 26, 5665, 81, 27959, 490, 284, 1459, 313, 13614, 299, 5359, 13585, 284, 273, 34, 280, 1133, 32, 1003, 346, 284, 2787, 81, 2021, 280, 2149, 284, 415, 7350, 81, 2184, 1365, 96, 1008, 81, 5905, 18270, 291, 622, 81, 464, 81, 1174, 81, 96, 1008, 81, 5905, 26, 605, 710, 37, 34, 2302, 2188, 2787, 81, 2021, 30, 7350, 81, 2184, 30, 7350, 81, 2184, 1365, 1174, 3439, 1769, 81, 1055, 81, 452, 81, 539, 47, 37, 34, 27, 284, 1505, 81, 3274, 81, 470, 26, 3274, 81, 2021, 27, 284, 415, 7350, 81, 2184, 1365, 9240, 81, 5905, 18270, 291, 16951, 81, 23794, 81, 35, 34, 30, 16951, 81, 24047, 81, 35, 34, 30, 16951, 81, 998, 280, 16951, 81, 5905, 26, 605, 30, 3104, 81, 16676, 27, 291, 2787, 81, 2021, 710, 9240, 81, 23794, 81, 35, 34, 785, 280, 12643, 32, 11364, 26, 9240, 81, 23794, 81, 35, 34, 27, 291, 2787, 81, 2021, 710, 9240, 81, 24047, 81, 35, 34, 785, 280, 12643, 32, 11364, 26, 9240, 81, 24047, 81, 35, 34, 27, 291, 2787, 81, 2021, 710, 9240, 81, 998, 785, 280, 12643, 32, 11364, 26, 9240, 81, 998, 27, 284, 415, 7350, 81, 2184, 1365, 98, 404, 81, 5905, 18270, 291, 298, 404, 81, 23794, 81, 35, 30, 298, 404, 81, 3574, 81, 35, 30, 298, 404, 81, 998, 280, 298, 404, 81, 5905, 26, 605, 30, 3104, 81, 16676, 27, 291, 2787, 81, 2021, 710, 98, 404, 81, 23794, 81, 35, 785, 280, 12643, 32, 11364, 26, 98, 404, 81, 23794, 81, 35, 27, 291, 2787, 81, 2021, 710, 98, 404, 81, 3574, 81, 35, 785, 280, 12643, 32, 11364, 26, 98, 404, 81, 3574, 81, 35, 27, 291, 2787, 81, 2021, 710, 98, 404, 81, 998, 785, 280, 12643, 32, 11364, 26, 98, 404, 81, 998, 27, 284, 5881, 284, 415, 7350, 81, 2184, 1365, 8101, 81, 5905, 18270, 291, 13760, 81, 23794 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 4, 2, 2, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 4, 4, 3, 4, 4, 4, 2, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 4, 4, 8, 10, 10, 10, 10, 8, 7, 8, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 5, 5, 4, 4, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 5, 5, 7, 8, 8, 8, 7, 2, 2, 3, 5, 5, 5, 5, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 5, 5, 4, 6, 6, 6, 6, 6, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 8, 10, 10, 10, 10, 7, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 8, 10, 10, 7, 9, 9, 9, 9, 9, 9, 8, 9, 9, 7, 2, 2, 5, 5, 5, 5, 5, 6, 6, 6, 5, 2, 2, 3, 5, 5, 4, 6, 6, 6, 6, 3, 3, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 6, 6, 8, 8, 8, 9, 8, 8, 9, 9, 8, 4, 4, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 9, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 9, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 8, 8, 7, 9, 9, 9, 9, 6, 6, 8, 9, 8, 9, 9, 9, 8, 2, 2, 3, 5, 5, 4, 6, 6, 6, 6, 6, 3, 3, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 9, 8, 8, 9, 9, 8, 4, 4, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 9, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 9, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 8, 8, 7, 9, 9, 9, 9, 9, 6, 6, 8, 9, 8, 9, 9, 9, 9, 8, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 2, 2, 1, 1, 2, 0, 5, 5, 0, 2, 1, 1, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 2, 2, 0, 4, 4, 4, 1, 1, 2, 0, 9, 9, 0, 10, 10, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 7, 7, 2, 2, 0, 0, 0, 9, 2, 2, 2, 0, 0, 11, 2, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 8, 0, 0, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 3, 1, 1, 5, 5, 1, 1, 0, 0, 7, 1, 2, 1, 0, 0, 0, 0, 0, 0, 9, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 10, 0, 0, 1, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 11, 0, 0, 1, 1, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 7138, 203, 465, 10245, 203, 465, 2361, 203, 465, 11171, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 1217, 1188, 6645, 885, 203, 1070, 8527, 32, 2304, 1188, 18792, 30, 22158, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 878, 203, 1070, 8527, 32, 2304, 32, 18651, 1188, 4664, 203, 1070, 6109, 81, 2846, 32, 8524, 1188, 3380, 81, 6360, 203, 823, 3398, 8770, 26, 1260, 32, 3265, 8770, 711, 284, 665, 1244, 26, 784, 30, 2830, 711, 291, 415, 6937, 26, 2067, 30, 4664, 711, 324, 442, 7650, 81, 878, 26, 2067, 27, 291, 4348, 6937, 26, 2067, 30, 7138, 32, 6665, 711, 324, 10293, 280, 2830, 32, 9328, 1643, 346, 324, 415, 2830, 32, 9441, 3090, 44, 400, 10293, 280, 10293, 2867, 36, 37, 79, 474, 10293, 77, 36, 40, 10056, 324, 415, 10293, 32, 20643, 37984, 34, 34, 44, 34, 34, 7831, 400, 10293, 280, 10293, 20129, 40, 79, 474, 330, 76, 25, 324, 442, 10293, 291, 4348, 6937, 26, 2067, 30, 7138, 32, 770, 711, 324, 442, 2830, 32, 9328, 1643, 346, 291, 4348, 6937, 26, 2067, 30, 7138, 32, 1003, 711, 324, 415, 22158, 461, 22158, 32, 297, 81, 32811, 26, 2067, 711, 400, 3636, 10091, 440, 3265, 883, 1330, 4042, 22158, 31, 32811, 6496, 7144, 324, 10293, 280, 2830, 32, 9328, 1643, 346, 324, 415, 2830, 32, 9441, 3090, 44, 400, 10293, 280, 10293, 2867, 35, 36, 79, 324, 442, 10293, 291, 4348, 6937, 26, 2067, 30, 7138, 32, 32888, 711, 324, 442, 18792, 32, 878, 81, 681, 26, 2999, 81, 6360, 26, 2067, 490, 291, 4348, 6937, 26, 2067, 30, 10245, 32, 7697, 711, 324, 442, 1897, 26, 2067, 27, 291, 4348, 6937, 26, 2067, 30, 11171, 32, 7595, 711, 324, 442, 18792, 32, 878, 81, 681, 26, 2067, 27, 291, 4348, 6937, 26, 2067, 30, 6645, 885, 711, 324, 442, 8825, 26, 2067, 27, 291, 4348, 19326, 26, 2067, 30, 330, 25880, 7831, 324, 442, 2830, 32, 25880, 346, 291, 4348, 19326, 26, 2067, 30, 11477, 33644, 505, 7831, 324, 1596, 44, 400, 442, 5436, 26, 2067, 27, 324, 2940, 44, 400, 3097, 291, 4348, 19326, 26, 2067, 30, 11477, 1731, 505, 7831, 324, 442, 8825, 26, 1094, 436, 1623, 328, 2830, 27, 291, 442, 2599, 26, 3265, 8770, 30, 630, 547, 1536, 26, 2067, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 7, 5, 5, 7, 9, 9, 9, 10, 9, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 9, 9, 11, 12, 12, 11, 7, 7, 8, 9, 10, 10, 8, 8, 8, 11, 11, 13, 15, 15, 13, 12, 12, 13, 15, 15, 14, 7, 7, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 8, 8, 11, 11, 13, 16, 13, 12, 12, 14, 14, 7, 7, 8, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 10, 11, 11, 10, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 9, 9, 11, 12, 12, 12, 11, 12, 11, 8, 8, 10, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 7, 7, 9, 9, 11, 12, 12, 11, 7, 7, 8, 9, 10, 10, 8, 8, 8, 11, 11, 12, 14, 14, 12, 7, 7, 8, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 10, 11, 11, 11, 10, 12, 12, 12, 12, 13, 12, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 10, 11, 10, 5, 5, 6, 8, 9, 8, 8, 9, 10, 8, 6, 6, 8, 10, 11, 11, 11, 10, 11, 10, 5, 5, 6, 8, 9, 8, 8, 9, 8, 6, 6, 8, 10, 11, 10, 5, 5, 6, 8, 9, 8, 8, 10, 10, 6, 6, 8, 10, 11, 10, 5, 5, 6, 8, 9, 8, 8, 10, 10, 10, 6, 6, 8, 8, 8, 10, 12, 13, 12, 8, 8, 9, 9, 9, 5, 5, 6, 8, 9, 8, 8, 10, 10, 10, 6, 6, 8, 10, 11, 10, 11, 11, 11, 10, 4, 4, 5, 9, 10, 10, 9, 9, 9, 8, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 0, 0, 10, 10, 1, 2, 0, 1, 2, 2, 2, 10, 10, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 3, 3, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 3, 3, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 3, 3, 3, 0, 0, 5, 1, 1, 1, 1, 3, 2, 1, 5, 5, 0, 0, 2, 2, 1, 0, 0, 6, 1, 1, 1, 1, 3, 2, 1, 6, 6, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 1, 3, 3, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 3, 3, 3, 0, 0, 7, 1, 1, 1, 1, 3, 2, 1, 7, 7, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 8, 1, 1, 1, 1, 3, 2, 1, 8, 8, 0, 1, 1, 1, 0, 0, 9, 1, 1, 1, 1, 3, 2, 1, 9, 9, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 10, 1, 1, 1, 1, 3, 1, 10, 10, 0, 1, 1, 1, 0, 0, 11, 1, 1, 1, 1, 1, 2, 11, 11, 0, 0, 2, 1, 0, 0, 12, 1, 1, 1, 1, 1, 1, 2, 12, 12, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 13, 1, 1, 1, 1, 1, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 1070, 894, 32, 3592, 1188, 1420, 81, 18986, 203, 823, 40309, 3397, 7233, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 15272, 26, 784, 711, 291, 630, 32, 6549, 3736, 36, 610, 225, 34, 429, 225, 36, 27, 291, 630, 32, 5299, 3736, 34, 30, 225, 34, 27, 291, 630, 32, 5299, 14833, 36, 30, 225, 36, 27, 291, 630, 32, 6549, 3736, 36, 610, 225, 34, 429, 225, 36, 27, 291, 630, 32, 6549, 3736, 36, 32, 34, 610, 225, 34, 429, 225, 36, 32, 34, 27, 291, 630, 32, 6549, 3736, 36, 92, 610, 225, 34, 429, 225, 36, 92, 27, 284, 665, 894, 81, 18502, 26, 784, 711, 291, 630, 32, 5299, 29610, 36, 30, 225, 36, 27, 291, 630, 32, 5299, 29610, 34, 30, 225, 34, 27, 291, 630, 32, 5299, 26, 1046, 36, 30, 225, 36, 27, 291, 630, 32, 5299, 29610, 36, 30, 225, 36, 27, 291, 630, 32, 5299, 29610, 36, 32, 34, 30, 225, 36, 32, 34, 27, 291, 630, 32, 5299, 29610, 36, 92, 30, 225, 36, 92, 27, 284, 665, 894, 81, 22218, 26, 784, 711, 291, 630, 32, 6549, 3736, 36, 610, 225, 34, 429, 225, 36, 27, 291, 630, 32, 5299, 3736, 34, 30, 225, 34, 27, 291, 630, 32, 5299, 14833, 36, 30, 225, 36, 27, 291, 630, 32, 6549, 3736, 36, 610, 225, 34, 429, 225, 36, 27, 284, 665, 894, 81, 1347, 81, 9642, 26, 784, 711, 291, 310, 2353, 280, 313, 43, 20, 319, 225, 37, 36, 291, 630, 32, 6549, 26, 6569, 440, 5667, 474, 310, 2353, 27, 610, 225, 35, 34, 326, 37, 36, 31, 35, 27, 291, 630, 32, 6549, 26, 6569, 10359, 20, 474, 310, 2353, 27, 610, 25298, 35, 34, 326, 37, 36, 31, 35, 490, 291, 630, 32, 6549, 26, 6569, 440, 112, 20, 474, 310, 2353, 27, 610, 30104, 35, 34, 326, 37, 36, 31, 35, 490, 284, 665, 894, 81, 8095, 367, 81, 1028, 81, 28323, 12909, 26, 784, 711, 291, 630, 32, 5299, 3736, 36, 1115, 225, 37, 30, 429, 42, 27, 291, 630, 32, 5299, 20726, 36, 27, 1115, 225, 37, 30, 429, 42, 27, 291, 630, 32, 5299, 3736, 36, 1115, 225, 38, 30, 429, 35, 40, 27, 291, 630, 32, 5299, 20726, 36, 27, 1115, 225, 38, 30, 225, 35, 40, 27, 284, 665, 894, 81, 3371, 81, 2516, 26, 784, 711, 291, 436, 3089, 328, 21645, 34848, 28948, 950, 324, 630, 32, 23895, 26, 18082, 30, 9967, 30, 3089, 474, 313, 84, 25, 83, 32147, 324, 630, 32, 23895, 26, 18082, 30, 9967, 30, 3089, 474, 5335, 83, 32147, 291, 630, 32, 23895, 26, 18082, 30, 9967, 30, 18163, 36, 92, 657, 291, 630, 32, 23895, 26, 18082, 30, 9967, 30, 18163, 36, 32, 34, 657, 203, 589, 894, 81, 1831, 2262, 284, 1420, 81, 18986, 26, 15518, 3397, 7233, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 894, 81, 1831, 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, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 8, 8, 10, 9, 9, 10, 7, 4, 4, 7, 8, 7, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 8, 8, 10, 9, 9, 10, 7, 4, 4, 7, 8, 7, 10, 10, 10, 8, 8, 10, 9, 9, 10, 10, 10, 7, 4, 4, 7, 8, 7, 10, 10, 8, 8, 10, 9, 9, 10, 10, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 8, 10, 7, 7, 8, 7, 4, 4, 7, 8, 7, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 8, 8, 10, 9, 9, 10, 7, 4, 4, 7, 8, 7, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 7, 7, 8, 7, 4, 4, 7, 8, 7, 10, 8, 8, 10, 9, 9, 10, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 9, 7, 7, 8, 8, 4, 4, 7, 8, 7, 10, 10, 13, 11, 11, 12, 10, 8, 8, 11, 11, 10, 11, 11, 9, 10, 7, 4, 4, 7, 8, 7, 10, 10, 13, 11, 11, 12, 10, 8, 8, 13, 13, 12, 13, 13, 11, 12, 10, 4, 4, 7, 8, 7, 10, 10, 13, 13, 11, 11, 12, 10, 8, 8, 13, 13, 12, 13, 13, 11, 12, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 10, 9, 9, 10, 7, 7, 9, 7, 4, 4, 7, 8, 7, 11, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 7, 10, 9, 9, 10, 7, 7, 9, 9, 7, 4, 4, 7, 8, 7, 11, 9, 8, 8, 9, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 6, 6, 8, 5, 5, 9, 10, 9, 10, 9, 9, 9, 9, 10, 10, 12, 12, 12, 12, 6, 6, 9, 10, 9, 10, 9, 9, 9, 9, 10, 10, 12, 12, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 9, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 5, 6, 6, 6, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 3, 3, 1, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 3, 3, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 816, 17575, 203, 465, 2322, 32, 983, 203, 465, 5237, 203, 465, 2322, 203, 1070, 30902, 1188, 319, 203, 1070, 30902, 32, 407, 32, 4214, 26240, 1188, 4497, 26240, 81, 1439, 203, 1070, 30902, 32, 494, 1188, 3523, 25830, 203, 1070, 18901, 23522, 2825, 1188, 18901, 23522, 2825, 203, 1070, 12751, 8659, 74, 1237, 278, 1188, 12751, 8659, 74, 1237, 278, 203, 1070, 2919, 2208, 1188, 3659, 2825, 203, 325, 1156, 426, 505, 11490, 505, 1831, 18018, 284, 4118, 280, 3659, 2825, 346, 284, 4118, 32, 669, 81, 1762, 10359, 84, 392, 7915, 84, 81, 4548, 392, 3466, 347, 84, 392, 3049, 347, 4548, 432, 322, 1650, 372, 4240, 11708, 308, 1536, 44, 225, 35, 42, 34, 43, 5715, 1244, 47, 35, 42, 34, 43, 27, 284, 4118, 32, 669, 81, 1762, 10359, 98, 392, 7915, 106, 1237, 278, 81, 4603, 81, 983, 392, 3466, 347, 106, 1237, 278, 81, 4603, 81, 983, 392, 3049, 347, 31531, 322, 1519, 372, 322, 1593, 1237, 278, 3536, 1344, 1650, 4414, 1244, 347, 106, 1237, 278, 657, 284, 4118, 32, 669, 81, 1762, 10359, 87, 392, 7915, 87, 81, 4548, 392, 3466, 347, 87, 392, 3049, 347, 4548, 432, 322, 1650, 372, 943, 11708, 308, 1536, 44, 225, 36, 34, 35, 40, 5715, 1244, 47, 36, 34, 35, 40, 27, 284, 4118, 32, 669, 81, 1762, 10359, 106, 392, 7915, 1055, 392, 3466, 347, 106, 392, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 30, 3049, 347, 1922, 1593, 1237, 278, 1650, 1932, 308, 1536, 44, 3177, 14451, 284, 4118, 32, 669, 81, 1762, 10359, 101, 392, 7915, 9381, 97, 841, 95, 81, 983, 392, 3466, 347, 101, 392, 3049, 347, 9535, 1519, 372, 10437, 23522, 1149, 308, 1536, 44, 10437, 38122, 33, 7480, 1220, 689, 81, 85, 9993, 32, 2760, 5715, 1244, 280, 313, 9381, 38122, 33, 7480, 1220, 689, 81, 85, 9993, 32, 2760, 657, 284, 4118, 32, 669, 81, 1762, 10359, 86, 392, 7915, 1199, 81, 1069, 1364, 392, 3466, 347, 86, 392, 3049, 347, 4603, 328, 27317, 372, 5008, 372, 308, 1536, 44, 11997, 1220, 689, 81, 85, 9993, 81, 1199, 5715, 1244, 280, 313, 7480, 1220, 689, 81, 85, 9993, 81, 1199, 657, 284, 4118, 32, 669, 81, 1762, 10359, 88, 392, 7915, 1347, 81, 1903, 392, 3466, 347, 88, 392, 2125, 347, 2157, 81, 1870, 392, 3049, 347, 1809, 10437, 38122, 328, 1593, 1237, 278, 3500, 308, 1536, 44, 2933, 5715, 1244, 47, 1815, 27, 284, 4118, 32, 669, 81, 1762, 10359, 100, 392, 7915, 4295, 81, 426, 392, 3466, 347, 100, 392, 3049, 347, 426, 432, 322, 3276, 803, 308, 1536, 44, 3276, 32, 4700, 5715, 1244, 280, 313, 4295, 657, 284, 4118, 32, 669, 81, 1762, 10359, 96, 392, 7915, 426, 81, 106, 1237, 278, 81, 1199, 392, 3466, 347, 96, 392, 3049, 347, 426, 432, 322, 816, 1237, 278, 3500, 4844, 308, 1536, 44, 816, 1237, 278, 46, 87, 81, 4548, 5103, 392, 1244, 280, 313, 106, 1237, 278, 657, 284, 308, 2184, 30, 2181, 27, 280, 4118, 32, 2208, 81, 1132, 346, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 2, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 4, 4, 4, 1, 1, 4, 4, 6, 6, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 5, 6, 8, 8, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 7, 7, 7, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 5, 6, 8, 8, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 7, 7, 7, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 6, 8, 8, 5, 6, 8, 8, 8, 8, 5, 6, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 8, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 7, 5, 6, 8, 8, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 5, 6, 8, 8, 5, 6, 8, 8, 8, 8, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 7, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 5, 6, 8, 8, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 8, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 8, 8, 8, 8, 2, 2, 6, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2 ]
[ 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 4, 5, 5, 0, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 10, 10, 0, 0, 1, 1, 1, 1, 10, 10, 0, 0, 0, 1, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 2, 2, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 1, 1, 2, 1, 9, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 1, 1, 2, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 9, 9, 1, 1, 1, 2, 3, 3, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 3 ]
[ 465, 2361, 203, 465, 5741, 203, 465, 2919, 2208, 203, 465, 5237, 203, 1070, 2676, 3773, 978, 32, 2282, 32, 15199, 32, 23469, 16648, 1188, 3772, 928, 29248, 203, 1070, 2676, 3773, 978, 32, 2282, 32, 2946, 32, 2493, 19290, 1188, 10285, 924, 203, 1070, 2676, 3773, 978, 32, 3086, 81, 4882, 32, 13507, 32, 858, 81, 1267, 81, 7572, 1188, 2108, 1394, 3976, 203, 1070, 2676, 3773, 978, 32, 3086, 81, 4882, 32, 3378, 1188, 894, 81, 32997, 203, 1070, 2676, 3773, 978, 32, 3086, 81, 4882, 32, 3378, 32, 858, 81, 2358, 993, 1188, 2108, 47445, 30, 21565, 4780, 81, 28056, 81, 4613, 203, 1070, 2676, 3773, 978, 32, 625, 1188, 1968, 483, 203, 1070, 2676, 3773, 978, 32, 625, 1188, 7763, 203, 1070, 2676, 3773, 978, 32, 3732, 32, 7740, 295, 39030, 3732, 1188, 5718, 203, 81, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 589, 617, 23469, 81, 426, 26, 2548, 30, 894, 81, 426, 30, 12809, 711, 284, 442, 5980, 32, 48271, 26, 858, 81, 426, 5594, 34, 79, 474, 2108, 1394, 3976, 32, 18829, 81, 28056, 81, 30331, 474, 17021, 474, 12809, 203, 823, 7400, 435, 1439, 22914, 2019, 26, 2019, 711, 284, 5169, 81, 1498, 15557, 81, 1439, 4446, 81, 1762, 280, 2919, 2208, 32, 2682, 81, 1762, 13692, 1500, 31, 1498, 15557, 31, 1439, 4446, 392, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 30, 291, 3049, 347, 5775, 30799, 1695, 4446, 33289, 328, 322, 22340, 1519, 32, 1348, 438, 436, 47867, 973, 537, 14844, 7144, 284, 1289, 81, 22926, 81, 1762, 280, 2919, 2208, 32, 2682, 81, 1762, 12664, 1347, 31, 22926, 370, 3466, 1057, 22926, 370, 2125, 1057, 2157, 81, 1870, 370, 1244, 47, 1815, 30, 291, 3049, 37346, 2555, 646, 22269, 33, 286, 31, 12130, 322, 40836, 2685, 28789, 22914, 308, 1536, 438, 372, 409, 31, 12130, 6924, 547, 330, 1090, 330, 4282, 883, 793, 313, 7524, 31, 2675, 22269, 31, 1439, 4446, 20, 372, 22269, 24964, 32, 2847, 284, 5624, 81, 2184, 280, 7763, 32, 5134, 81, 2184, 26, 539, 81, 13285, 101, 47, 1815, 27, 284, 3276, 81, 5660, 81, 1762, 280, 2919, 2208, 32, 2682, 81, 1762, 13692, 4295, 31, 5660, 392, 3049, 347, 3325, 3276, 3362, 372, 793, 657, 284, 12809, 307, 81, 1762, 280, 2919, 2208, 32, 2682, 81, 1762, 13692, 12420, 307, 392, 1244, 47, 1195, 32, 2524, 26, 6177, 4780, 81, 28056, 81, 4613, 471, 2125, 347, 2157, 392, 291, 3049, 347, 34010, 31, 26398, 31, 668, 432, 803, 3738, 372, 316, 23469, 657, 284, 665, 1156, 1664, 3207, 784, 30, 2075, 47, 2521, 711, 291, 2599, 26, 5584, 435, 1439, 22914, 2019, 30, 630, 14585, 1664, 3207, 2184, 47, 2184, 27, 291, 630, 1114, 23469, 81, 12420, 81, 668, 280, 21565, 4780, 81, 28056, 81, 4613, 203, 823, 902, 23469, 1006, 26, 5584, 435, 1439, 22914, 2019, 711, 284, 636, 280, 313, 268, 23469, 31, 858, 31, 3259, 20, 284, 3049, 81, 878, 280, 313, 435, 23469, 312, 3982, 894, 645, 312, 1968, 2195, 32, 9287, 14212, 436, 793, 810, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 9, 10, 9, 10, 10, 10, 9, 8, 7, 6, 6, 8, 8, 7, 8, 8, 8, 8, 8, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 6, 7, 8, 6, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 7, 9, 9, 6, 7, 9, 9, 9, 9, 6, 7, 8, 6, 6, 6, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 8, 7, 8, 6, 2, 2, 5, 5, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 8, 8, 6, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 5, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 8, 6, 7, 11, 9, 10, 9, 10, 10, 10, 10, 10, 10, 9, 6, 7, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 1, 6, 6, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 1, 6, 6, 5, 5, 0, 0, 6, 6, 0, 0, 1, 2, 2, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 7, 7, 0, 0, 1, 2, 2, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 2, 2, 2, 1, 4, 1, 6, 6, 6, 6, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 0, 10, 10, 0, 0, 1, 2, 10, 10, 0, 11, 11, 0, 0, 1, 2, 1, 4, 4, 4, 4, 11, 11, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 13, 13, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 13, 13, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 14, 14, 1, 1, 1, 1, 2, 1, 2, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 5, 1, 1, 1, 2, 1, 7, 2, 1, 1, 1, 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, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 2, 2, 3, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 15, 15, 1, 1, 2, 1, 1, 1, 1, 1, 2, 15, 15, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1245, 2609, 1188, 7139, 203, 1070, 13625, 1188, 31466, 203, 1070, 1933, 1188, 1933, 203, 1070, 18792, 1188, 3850, 3028, 203, 1070, 1288, 91, 45817, 32, 3512, 1188, 43022, 543, 30, 12104, 30, 15930, 203, 1070, 1288, 91, 45817, 32, 30299, 32, 1174, 1188, 7679, 203, 1070, 1288, 91, 45817, 32, 30299, 32, 101, 374, 593, 381, 1188, 308, 284, 4040, 81, 56, 1068, 3360, 81, 33593, 81, 69, 1798, 5475, 3470, 81, 13496, 81, 13681, 30, 284, 12368, 45315, 6795, 10334, 30, 284, 18680, 10334, 69, 374, 593, 381, 30, 203, 27, 203, 1070, 1288, 91, 45817, 32, 30299, 32, 37179, 1188, 308, 284, 4040, 81, 3687, 81, 37034, 81, 1197, 635, 30, 284, 506, 1068, 3360, 81, 1460, 13873, 81, 4666, 940, 81, 6265, 81, 11699, 30, 284, 4211, 6220, 30, 284, 4211, 10334, 30, 203, 27, 203, 1070, 1288, 91, 45817, 32, 30299, 32, 8151, 81, 6038, 1188, 32690, 7028, 203, 1070, 1288, 91, 45817, 32, 2304, 32, 1131, 81, 6460, 1188, 1424, 81, 2516, 203, 751, 280, 7139, 463, 52, 2499, 391, 683, 203, 5691, 81, 4073, 280, 7139, 463, 31240, 5711, 683, 203, 823, 551, 2499, 391, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 706, 81, 15710, 30, 15588, 543, 81, 101, 374, 593, 381, 47, 2521, 30, 353, 7062, 81, 101, 374, 593, 381, 47, 2521, 30, 15588, 543, 81, 37179, 47, 2521, 30, 353, 7062, 81, 37179, 47, 2521, 30, 8250, 81, 6038, 47, 2521, 711, 291, 630, 32, 1676, 81, 10389, 280, 31466, 26, 668, 27, 291, 630, 32, 10389, 280, 2149, 291, 630, 32, 890, 81, 10389, 280, 1605, 291, 630, 32, 1700, 81, 2632, 280, 1665, 291, 630, 32, 1449, 81, 29705, 280, 629, 26, 35, 87, 29, 35, 35, 27, 291, 630, 32, 101, 374, 593, 381, 81, 3378, 280, 301, 324, 43022, 543, 44, 15588, 543, 81, 101, 374, 593, 381, 556, 18680, 10334, 69, 374, 593, 381, 1026, 324, 12104, 44, 7062, 81, 101, 374, 593, 381, 556, 12368, 45315, 6795, 10334, 26, 400, 6864, 81, 3248, 47, 5807, 81, 56, 1068, 3360, 81, 33593, 81, 69, 1798, 5475, 3470, 81, 13496, 81, 13681, 30, 324, 2588, 291, 320, 291, 630, 32, 37179, 81, 3378, 280, 301, 324, 43022, 543, 44, 15588, 543, 81, 37179, 556, 4211, 10334, 1026, 324, 12104, 44, 7062, 81, 37179, 556, 4211, 6220, 26, 400, 7847, 47, 5807, 81, 3687, 81, 37034, 81, 1197, 635, 30, 400, 15053, 81, 12920, 47, 56, 1068, 3360, 81, 1460, 13873, 81, 4666, 940, 81, 6265, 81, 11699, 30, 324, 2588, 291, 320, 291, 630, 32, 605, 81, 15710, 280, 706, 81, 15710, 291, 630, 32, 8151, 81, 6038, 280, 8250, 81, 6038, 415, 8250, 81, 6038, 813, 32690, 7028, 346, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 1524, 203, 109, 823, 81, 426, 12560, 284, 309, 374, 593, 381, 81, 3378, 1279, 101, 374, 593, 381, 81, 3378, 835, 284, 767, 1703, 81, 3378, 1279, 37179, 81, 3378, 835, 284, 2156, 81, 10389, 1279, 1676, 81, 10389, 835, 284, 17588, 1279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 1, 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, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 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, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 6, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 8, 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, 8, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 9, 8, 8, 10, 10, 10, 10, 10, 10, 9, 9, 11, 11, 11, 11, 11, 11, 7, 7, 8, 8, 10, 10, 10, 10, 10, 9, 9, 11, 11, 11, 11, 11, 11, 13, 13, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 9, 8, 8, 10, 10, 10, 9, 9, 11, 11, 7, 7, 8, 8, 10, 10, 9, 9, 11, 11, 11, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 13, 13, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 11, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 7, 7, 8, 8, 7, 7, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 0, 1, 2, 1, 4, 4, 4, 4, 6, 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, 0, 0, 0, 0, 6, 6, 6, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 8, 8, 0, 0, 1, 2, 1, 4, 4, 4, 8, 8, 0, 0, 9, 9, 0, 0, 1, 2, 1, 4, 4, 4, 9, 9, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 0, 0, 7, 2, 2, 2, 0, 0, 0, 9, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 3, 3, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1933, 203, 465, 310, 491, 550, 203, 465, 2322, 203, 465, 45301, 983, 203, 465, 316, 203, 465, 16539, 203, 465, 5237, 203, 465, 485, 2983, 32, 2282, 203, 465, 485, 2983, 32, 15215, 81, 2593, 619, 8792, 81, 2593, 203, 465, 485, 2983, 32, 7101, 32, 46756, 619, 310, 17321, 81, 7101, 203, 465, 485, 2983, 32, 2739, 5767, 1812, 619, 13416, 5767, 1812, 203, 465, 485, 2983, 32, 2739, 5767, 3196, 619, 13416, 5767, 3196, 203, 465, 485, 2983, 32, 2739, 5767, 2963, 619, 13416, 5767, 2963, 203, 465, 485, 2983, 32, 2739, 72, 635, 1052, 974, 619, 488, 6004, 635, 1052, 974, 203, 465, 485, 2983, 32, 2739, 5767, 1240, 974, 619, 13416, 5767, 1240, 974, 203, 465, 485, 2983, 32, 2739, 5767, 1733, 619, 13416, 5767, 1733, 203, 465, 485, 2983, 32, 2739, 5767, 2062, 619, 13416, 5767, 2062, 203, 1070, 485, 2983, 32, 2282, 1188, 570, 2983, 924, 203, 1070, 485, 2983, 32, 2282, 1188, 24603, 885, 203, 589, 617, 465, 81, 20663, 7167, 2262, 334, 1188, 13625, 334, 1596, 44, 284, 442, 13625, 32, 20663, 7167, 334, 2940, 29316, 44, 284, 1188, 485, 2983, 32, 8234, 81, 2665, 284, 442, 485, 2983, 32, 8234, 81, 2665, 32, 20663, 7167, 203, 20663, 7167, 280, 617, 465, 81, 20663, 7167, 346, 203, 5915, 81, 2739, 5767, 81, 11989, 81, 45852, 280, 316, 32, 6993, 26, 100, 28249, 77, 51, 31, 56, 34, 31, 43, 11466, 6155, 22, 683, 203, 7101, 81, 1536, 81, 9578, 280, 301, 284, 330, 35629, 2147, 81, 9857, 950, 2550, 284, 330, 35629, 2147, 81, 28056, 950, 5608, 8022, 370, 284, 330, 14673, 81, 7655, 81, 9857, 950, 2550, 284, 330, 24463, 81, 7655, 81, 9857, 950, 2550, 284, 330, 14673, 81, 7655, 81, 28056, 950, 5608, 1356, 370, 284, 330, 24463, 81, 7655, 81, 28056, 950, 5608, 9685, 370, 284, 330, 5451, 15415, 1757, 81, 3197, 950, 330, 2945, 1428, 2976, 7243, 284, 330, 24463, 81, 5451, 15415, 1757, 81, 3197, 950, 330, 2945, 1512, 2976, 27, 2067, 33, 3264, 81, 38989, 370, 284, 330, 2636, 950, 330, 4463, 370, 284, 330, 16024, 81, 3197, 950, 330, 2945, 1512, 2976, 7243, 284, 330, 7655, 81, 3197, 950, 330, 2945, 1512, 2976, 27, 1356, 370, 284, 330, 25641, 81, 10840, 81, 7789, 950, 330, 2945, 1612, 558, 7243, 284, 330, 25641, 81, 10840, 81, 3197, 2474, 950, 330, 2945, 1612, 2976, 7243, 284, 330, 25641, 81, 10840, 81, 2399, 950, 330, 2945, 1612, 2725, 7243, 284, 330, 25641, 81, 10840, 81, 2474, 950, 330, 2945, 1612, 6777, 7243, 284, 330, 25641, 81, 10840, 81, 4065, 950, 330, 2945, 1612, 1215, 7243, 284, 330, 35684, 81, 2474, 950, 330, 2945, 2324, 558, 7243, 203, 111, 203, 7101, 81, 12187, 81, 983, 81, 15485, 280, 428, 284, 330, 874, 4849, 81, 2479, 89, 4463, 81, 15615, 370, 284, 330, 874, 4849, 81, 2962, 370, 203, 79, 203, 7101, 81, 12187, 81, 3780, 81, 5983, 81, 3494, 280, 428, 284, 330, 874, 4849, 81, 2479, 89, 4463, 81, 15615, 370, 284, 330, 874, 4849, 81, 2479 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 3, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 4, 2, 2, 3, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 2, 2, 3, 3, 3, 5, 6, 7, 7, 3, 3, 4, 4, 4, 4, 6, 8, 7, 8, 8, 8, 5, 5, 6, 9, 8, 9, 9, 9, 7, 8, 8, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 6, 4, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 1, 2, 0, 8, 8, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 9, 9, 0, 0, 2, 0, 4, 1, 1, 2, 2, 2, 0, 10, 10, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 11, 11, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 12, 12, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 13, 13, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 14, 14, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 15, 15, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 16, 16, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 17, 17, 0, 1, 2, 17, 17, 0, 0, 0, 18, 18, 0, 1, 2, 18, 18, 0, 0, 19, 19, 1, 1, 1, 1, 2, 19, 19, 0, 4, 4, 1, 1, 1, 0, 1, 2, 2, 1, 1, 3, 3, 3, 3, 0, 0, 1, 2, 2, 2, 3, 3, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 2, 7, 2, 2, 1, 1, 1, 1, 1, 2, 9, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 11, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 17, 1, 2, 2, 2, 1, 1, 1, 2, 19, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 21, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 23, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 25, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 27, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 29, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 31, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 33, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1 ]
[ 465, 19493, 203, 465, 2919, 2208, 203, 465, 2322, 203, 465, 14323, 203, 465, 316, 203, 465, 22977, 203, 465, 16539, 203, 465, 5237, 203, 465, 26313, 203, 1725, 13926, 81, 15147, 69, 47, 38, 203, 589, 1390, 36925, 26, 2501, 711, 334, 5684, 1693, 280, 2156, 26, 500, 32, 1902, 1693, 30, 330, 105, 683, 334, 11504, 280, 16539, 32, 45606, 26, 2501, 30, 12532, 47, 27958, 32, 18165, 30, 16154, 47, 1902, 1693, 30, 3775, 4845, 891, 47, 35, 27, 334, 1688, 280, 11504, 32, 508, 48275, 8532, 34, 79, 334, 442, 1688, 203, 589, 1390, 15434, 16716, 874, 6954, 26, 1832, 81, 1515, 47, 2521, 711, 334, 475, 39926, 81, 3674, 2739, 280, 330, 5937, 81, 5815, 874, 25, 334, 10128, 81, 5815, 874, 81, 1771, 280, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 8931, 496, 26, 1832, 81, 1515, 471, 475, 39926, 81, 3674, 2739, 27, 334, 415, 646, 2322, 32, 3560, 26, 5937, 81, 5815, 874, 81, 1771, 30, 2322, 32, 74, 81, 2950, 711, 284, 1459, 330, 11394, 2290, 904, 101, 4564, 904, 475, 39926, 81, 3674, 2739, 284, 5237, 32, 4775, 26, 35, 27, 334, 442, 10128, 81, 5815, 874, 81, 1771, 203, 589, 27315, 26, 983, 30, 30150, 81, 983, 30, 11522, 81, 983, 30, 540, 8478, 711, 334, 1519, 280, 1519, 32, 3227, 17079, 4554, 81, 983, 370, 11522, 81, 983, 27, 334, 1519, 280, 1519, 32, 3227, 17079, 21823, 81, 983, 370, 30150, 81, 983, 27, 334, 415, 1519, 32, 1809, 17079, 100, 983, 683, 863, 429, 35, 44, 284, 436, 540, 983, 328, 540, 8478, 44, 397, 537, 81, 983, 280, 27315, 26, 983, 32, 3227, 17079, 100, 983, 370, 540, 983, 471, 30150, 81, 983, 30, 11522, 81, 983, 30, 656, 11544, 397, 415, 2322, 32, 3560, 26, 890, 81, 983, 30, 2322, 32, 74, 81, 2950, 711, 291, 442, 537, 81, 983, 284, 442, 4247, 334, 442, 1519, 203, 589, 1390, 7432, 5876, 12713, 12183, 26, 7003, 711, 334, 456, 583, 280, 1390, 36925, 4901, 94, 583, 370, 5298, 1130, 334, 5034, 81, 268, 280, 316, 32, 6993, 9442, 102, 3424, 532, 20344, 24913, 16124, 3424, 78, 9501, 683, 334, 1056, 280, 1605, 334, 436, 1628, 328, 456, 583, 32, 2998, 4446, 2262, 284, 345, 280, 5034, 81, 268, 32, 2872, 26, 928, 27, 284, 415, 345, 44, 397, 1056, 32, 1689, 26, 95, 32, 1363, 26, 35, 490, 334, 442, 1056, 203, 589, 1390, 7432, 5876, 12713, 7999, 26, 7003, 30, 30150, 81, 983, 711, 334, 11522, 81, 983, 280, 2322, 32, 983, 32, 7781, 26, 7003, 27, 334, 337, 3732, 280, 1390, 36925, 4901, 366, 1052, 370, 6470, 94, 370, 5298, 8492, 2998, 4446, 346, 334, 540, 8478, 280, 1605, 334, 436, 5417, 30, 1628, 328, 10703, 26, 366, 1052, 711, 284, 415, 1628, 32, 1809, 463, 3515, 27606, 81, 68, 4065, 683, 863, 429, 35, 44, 397, 345, 280, 316, 32, 2872, 463, 319, 983, 308, 3424, 27, 16124, 2881, 638, 18899, 9501, 370, 337, 3732, 77, 2875, 29, 36, 1130, 397, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 8, 7, 8, 8, 6, 6, 8, 8, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 9, 8, 9, 6, 6, 7, 8, 8, 6, 6, 6, 8, 7, 8, 6, 2, 2, 4, 4, 7, 8, 8, 7, 6, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 9, 8, 9, 9, 9, 8, 6, 7, 7, 7, 7, 6, 2, 2, 3, 4, 6, 7, 6, 7, 7, 7, 7, 7, 7, 6, 6, 7, 8, 8, 8, 6, 3, 3, 5, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 0, 1, 1, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 7, 7, 6, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 7, 7, 6, 2, 2, 3, 6, 7, 6, 8, 8, 8, 4, 4, 6, 3, 3, 3, 5, 6, 5, 5, 6, 5, 5, 5, 9, 9, 8, 8, 10, 13, 12, 13, 12, 14, 14, 14, 12, 13, 12, 10, 11, 11, 10, 10, 11, 11, 10, 10, 10, 6, 6, 7, 9, 10, 9, 10, 10, 10, 9, 9, 10, 11, 11, 11, 9, 7, 7, 9, 10, 10, 4, 4, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 9, 9, 9, 7, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 2, 2, 3, 3, 3, 6, 5, 6, 6, 5, 3, 3, 6, 6, 9, 9, 8, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 9, 10, 9, 12, 11, 12, 11, 12, 11, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 2, 2, 5, 4, 4, 8, 8, 11, 11, 11, 9, 11, 11, 9, 9, 7, 7, 6, 2, 2, 5, 4, 4, 2, 2, 3, 4, 4, 3, 3, 5, 6, 6, 5, 3, 3, 5, 8, 9, 8, 10, 10, 10, 10, 10, 10, 6, 6, 8, 5, 5, 5, 8, 8, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 12, 11, 13, 12, 13, 11, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 2, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 5, 2, 2, 1, 1, 1, 0, 7, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 2, 2, 4, 4, 3, 0, 11, 11, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 11, 11, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 0, 12, 12, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 2, 12, 12, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 3, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 5, 5, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 1, 1, 3, 3, 1, 4, 4, 3, 0, 13, 13, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 3, 3, 3, 0, 0, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 4, 0, 14, 14, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 14, 14, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 4, 4, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 0, 2, 2, 3, 3, 3 ]
[ 465, 33951, 203, 465, 5741, 203, 1070, 33951, 32, 2029, 1188, 2761, 81, 1643, 203, 465, 3089, 749, 98, 32, 11452, 203, 1070, 3089, 749, 98, 1188, 8684, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 3089, 749, 98, 1188, 28135, 527, 4975, 81, 779, 203, 1070, 3089, 749, 98, 32, 3477, 32, 8200, 1188, 20734, 1572, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 16517, 30577, 26, 500, 104, 32, 500, 104, 711, 284, 617, 426, 280, 330, 575, 32, 6604, 32, 19426, 25, 284, 617, 1174, 280, 330, 7508, 25, 284, 617, 4875, 81, 426, 280, 330, 19426, 81, 1786, 25, 284, 665, 622, 81, 19426, 81, 48719, 26, 784, 30, 5564, 30, 9668, 47, 2521, 711, 291, 415, 9668, 44, 324, 804, 81, 15179, 280, 330, 3349, 804, 1236, 10027, 101, 9905, 324, 2181, 280, 428, 7288, 26, 3631, 2177, 291, 813, 44, 324, 804, 81, 15179, 280, 4247, 324, 2181, 280, 1605, 291, 5564, 32, 4526, 27265, 324, 10246, 804, 30, 10512, 30, 33951, 81, 1786, 30, 33951, 81, 1786, 81, 625, 30, 33951, 81, 2539, 6161, 30, 4511, 33951, 81, 2895, 30, 33951, 81, 2029, 30, 33951, 81, 1439, 30, 313, 496, 392, 1487, 81, 496, 30, 4511, 33951, 81, 11688, 324, 3753, 736, 81, 6604, 81, 19426, 324, 4998, 33951, 81, 1786, 863, 4247, 1524, 474, 804, 81, 15179, 474, 1524, 17076, 6936, 6613, 291, 3330, 392, 2181, 27, 291, 442, 5564, 32, 2665, 44569, 346, 284, 665, 5008, 26, 784, 30, 3570, 711, 291, 8210, 280, 330, 19426, 555, 23, 101, 6069, 86, 25, 904, 308, 2957, 710, 19426, 81, 1786, 2188, 1378, 3570, 710, 19426, 81, 1786, 81, 625, 3490, 291, 3387, 280, 33951, 32, 8788, 26, 3423, 27, 291, 415, 3570, 710, 19426, 81, 11688, 12132, 324, 3387, 32, 1366, 81, 11688, 81, 101, 346, 291, 442, 3387, 284, 665, 21307, 26, 784, 30, 3570, 30, 6207, 30, 3882, 711, 291, 415, 646, 3882, 44, 324, 442, 3177, 291, 3414, 280, 3177, 291, 2761, 280, 2761, 81, 1643, 26, 2957, 710, 19426, 81, 2029, 2188, 308, 3615, 33702, 291, 1596, 44, 324, 3276, 280, 630, 32, 1217, 26, 2957, 30, 2761, 27, 324, 3276, 280, 428, 91, 436, 595, 328, 3276, 415, 595, 77, 34, 3212, 324, 415, 3276, 461, 2069, 26, 4295, 27, 610, 225, 35, 44, 400, 29792, 280, 3276, 77, 34, 1674, 34, 79, 400, 4567, 280, 630, 32, 3517, 26, 2957, 27, 400, 4567, 32, 6656, 81, 2539, 81, 101, 26, 6161, 30, 3882, 27, 400, 4567, 32, 40741, 346, 400, 3414, 280, 3276, 77, 34, 79, 291, 2940, 33951, 32, 8606, 81, 32034, 14406, 69, 44, 324, 442, 3177, 291, 2940, 33951, 32, 30577, 924, 30, 484, 44, 324, 617, 4073, 32, 731, 463, 1045, 26397, 3756, 12330, 44, 904, 101, 370, 484, 27, 291, 442, 3414, 284, 665, 2467, 26, 784, 30, 3570, 30, 2761, 30, 10847, 81, 5843, 47, 2521, 711, 291, 3276, 280, 1605, 291, 1596, 44, 324, 4567, 280, 630, 32, 3517, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 5, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 6, 6, 8, 8, 11, 11, 12, 11, 5, 5, 6, 6, 6, 10, 10, 9, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 5, 7, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 9, 11, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 6, 8, 8, 8, 8, 5, 5, 9, 10, 10, 10, 10, 10, 9, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 5, 5, 5, 7, 4, 4, 6, 6, 4, 4, 6, 6, 8, 8, 8, 10, 9, 11, 11, 11, 11, 8, 10, 9, 4, 4, 5, 5, 5, 8, 8, 10, 11, 10, 11, 10, 10, 10, 6, 6, 8, 8, 10, 9, 10, 10, 10, 9, 10, 11, 12, 11, 6, 6, 7, 8, 8, 11, 12, 11, 9, 9, 10, 7, 7, 7, 10, 10, 12, 13, 12, 12, 11, 8, 8, 10, 10, 12, 13, 12, 13, 12, 8, 8, 11, 12, 12, 12, 12, 12, 11, 12, 11, 11, 11, 8, 8, 11, 12, 11, 8, 8, 10, 10, 11, 12, 11, 5, 5, 6, 7, 8, 8, 8, 8, 8, 6, 6, 6, 8, 5, 5, 6, 7, 8, 8, 6, 6, 6, 6, 6, 11, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 6, 6, 4, 4, 5, 5, 5, 8, 8, 10, 11, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 1, 2, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 0, 0, 1, 2, 2, 5, 5, 5, 5, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 9, 9, 1, 2, 0, 0, 1, 2, 2, 2, 9, 9, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 0, 2, 2, 1, 4, 4, 4, 2, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 4, 4, 5, 2, 1, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 1, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 3, 4, 4, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 3, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 0, 0, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 0, 3, 3, 4, 1, 2, 2, 4, 4, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 4, 4, 6, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 6, 6, 0, 0, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1 ]
[ 465, 13092, 203, 1070, 7853, 32, 35156, 32, 464, 1188, 18402, 1934, 1969, 203, 50, 12408, 32, 1826, 32, 33960, 203, 50, 12408, 32, 1826, 32, 3780, 29211, 661, 203, 589, 894, 81, 35156, 81, 3779, 26, 1439, 81, 965, 30, 35674, 711, 284, 1938, 280, 18402, 1934, 1969, 26, 21794, 30, 1695, 81, 965, 547, 1676, 346, 284, 4054, 280, 1938, 32, 1613, 81, 2445, 463, 38182, 683, 284, 4054, 32, 1613, 81, 5134, 463, 2839, 225, 40, 38, 31, 2400, 683, 284, 4054, 32, 1613, 81, 4189, 463, 23537, 308, 2045, 19188, 284, 1201, 1938, 32, 297, 81, 10953, 81, 4984, 81, 1640, 81, 2751, 318, 284, 1201, 1938, 32, 297, 81, 10953, 81, 4984, 81, 1204, 81, 1327, 284, 1201, 330, 2445, 47, 35156, 31, 5323, 31, 6482, 25, 461, 330, 500, 47, 4463, 40, 38, 25, 461, 330, 1581, 47, 272, 31, 2045, 25, 328, 1938, 32, 10953, 81, 4984, 81, 1204, 203, 50, 12408, 32, 1826, 32, 33960, 203, 50, 12408, 32, 1826, 32, 3780, 29211, 661, 203, 589, 894, 81, 35156, 81, 5992, 26, 1439, 81, 965, 30, 35674, 711, 284, 1938, 280, 18402, 1934, 1969, 26, 21794, 30, 1695, 81, 965, 547, 1676, 346, 284, 4054, 280, 1938, 32, 1613, 81, 2445, 463, 38182, 31511, 683, 284, 4054, 32, 1613, 81, 5134, 463, 48346, 683, 284, 4054, 32, 1613, 81, 4189, 26, 103, 25, 24025, 1588, 12011, 1513, 303, 6378, 683, 284, 1201, 1938, 32, 297, 81, 10953, 81, 4984, 81, 1640, 81, 2751, 318, 284, 1201, 1938, 32, 297, 81, 10953, 81, 4984, 81, 1204, 81, 1327, 284, 1201, 330, 2445, 47, 35156, 31, 5992, 31, 5323, 31, 6482, 25, 461, 330, 500, 47, 22330, 25, 461, 330, 1581, 47, 286, 25, 328, 1938, 32, 10953, 81, 4984, 81, 1204, 203, 50, 12408, 32, 1826, 32, 33960, 203, 50, 12408, 32, 1826, 32, 3780, 29211, 661, 203, 589, 894, 81, 35156, 81, 8632, 26, 1439, 81, 965, 30, 35674, 711, 284, 1938, 280, 18402, 1934, 1969, 26, 21794, 30, 1695, 81, 965, 547, 1676, 346, 284, 4054, 280, 1938, 32, 1613, 81, 2445, 463, 38182, 19063, 24486, 683, 284, 4054, 32, 1613, 81, 5134, 463, 12183, 225, 40, 38, 31, 2400, 683, 284, 4054, 32, 1613, 81, 4189, 463, 23537, 308, 2045, 19188, 284, 1201, 1938, 32, 297, 81, 10953, 81, 4984, 81, 1640, 81, 2751, 318, 284, 1201, 1938, 32, 297, 81, 10953, 81, 4984, 81, 1204, 81, 1327, 284, 1201, 330, 2445, 47, 35156, 31, 1902, 31728, 31, 5323, 31, 6482, 25, 461, 330, 500, 47, 4783, 40, 38, 25, 461, 330, 1581, 47, 272, 31, 2045, 25, 328, 1938, 32, 10953, 81, 4984, 81, 1204, 203, 50, 12408, 32, 1826, 32, 33960, 203, 50, 12408, 32, 1826, 32, 3780, 29211, 661, 203, 589, 894, 81, 35156, 81, 37172, 26, 1439, 81, 965, 30, 35674, 711, 284, 1938, 280, 18402, 1934, 1969, 26, 21794, 30, 1695, 81, 965, 547, 1676, 346, 284, 4054, 280, 1938, 32, 1613, 81, 2445, 463, 38182, 47788, 631, 683, 284, 4054, 32, 1613, 81, 5134, 463, 2839 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 2, 5, 4, 5, 3, 4, 1, 2, 5, 4, 5, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 5, 5, 9, 9, 9, 10, 9, 9, 10, 10, 9, 8, 7, 3, 3, 5, 5, 7, 8, 8, 8, 7, 9, 9, 3, 3, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 7, 7, 7, 6, 8, 8, 8, 8, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 8, 8, 8, 8, 0, 2, 5, 4, 5, 3, 4, 1, 2, 5, 4, 5, 3, 4, 4, 4, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 5, 5, 9, 9, 9, 10, 9, 9, 10, 10, 9, 8, 7, 3, 3, 5, 5, 7, 8, 8, 8, 7, 9, 9, 9, 3, 3, 6, 7, 7, 7, 6, 8, 8, 3, 3, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 0, 5, 5, 5, 5, 4, 4, 1, 5, 5, 5, 5, 4, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 6, 5, 9, 9, 9, 9, 10, 10, 10, 10, 10, 9, 8, 7, 3, 6, 5, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 3, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 3, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 0, 5, 5, 5, 5, 4, 4, 1, 5, 5, 5, 5, 4, 4, 4, 4, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 2, 6, 5, 9, 9, 9, 9, 10, 10, 10, 10, 10, 9, 8, 7, 3, 6, 5, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 3, 7, 7, 7, 7, 7, 6 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 3, 1, 0, 0, 2, 1, 2, 2, 2, 3, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 3, 1, 2, 1, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 3, 1, 2, 1, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 0, 0, 2, 2, 2, 1 ]
[ 465, 2322, 203, 465, 316, 203, 465, 5167, 203, 1070, 1984, 2208, 1188, 1984, 2208, 203, 1070, 1133, 1188, 1133, 203, 1070, 13663, 102, 3613, 1188, 1984, 2872, 30, 3029, 70, 3660, 203, 1070, 8527, 32, 858, 1188, 4448, 2214, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 1262, 32, 24894, 1188, 3834, 7063, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 2244, 8688, 1240, 203, 1070, 46624, 1188, 17221, 1006, 203, 1070, 544, 2000, 32, 7491, 32, 1831, 32, 4338, 1188, 739, 81, 13163, 30, 2519, 30, 26538, 687, 203, 1070, 544, 2000, 32, 7491, 32, 1831, 32, 3378, 1188, 11985, 750, 203, 1070, 544, 2000, 32, 7491, 32, 4073, 32, 4338, 1188, 6612, 81, 605, 203, 1070, 544, 2000, 32, 8820, 32, 2304, 32, 11429, 81, 4280, 1188, 931, 93, 13733, 81, 965, 203, 1070, 894, 81, 1439, 1188, 2108, 1761, 203, 50, 965, 2872, 26, 1299, 881, 47, 100, 25, 29548, 8169, 6505, 7011, 13733, 8169, 17130, 8169, 716, 22, 683, 203, 589, 931, 93, 13733, 81, 3613, 26, 965, 30, 1326, 711, 284, 1789, 280, 5167, 32, 1397, 346, 284, 1789, 32, 1517, 81, 687, 280, 225, 36, 34, 35, 284, 1789, 1114, 1286, 280, 31167, 965, 563, 313, 641, 555, 10663, 90, 36, 83, 32, 7011, 13733, 32, 17130, 32, 716, 3612, 25, 284, 442, 1789, 203, 50, 965, 2872, 26, 1299, 881, 47, 100, 25, 29548, 8169, 6505, 7011, 13733, 8169, 17130, 8169, 716, 22, 683, 203, 589, 931, 93, 13733, 81, 731, 81, 3613, 26, 965, 30, 1326, 711, 284, 1789, 280, 5167, 32, 1397, 346, 284, 1789, 32, 1517, 81, 687, 280, 225, 38, 34, 34, 284, 1789, 1114, 1286, 280, 31167, 1436, 563, 330, 766, 715, 6113, 1347, 3497, 5375, 436, 458, 3927, 68, 22072, 2145, 3612, 25, 284, 442, 1789, 203, 823, 2108, 1241, 6545, 750, 26, 35506, 711, 284, 665, 14553, 26, 784, 711, 291, 2108, 1761, 32, 23741, 26, 784, 27, 291, 630, 1114, 1297, 81, 496, 81, 363, 81, 3615, 346, 291, 630, 1114, 7211, 81, 9613, 367, 81, 599, 81, 363, 81, 4737, 81, 2386, 346, 291, 630, 32, 13163, 81, 965, 280, 10156, 26, 470, 81, 13163, 30, 10306, 1279, 324, 330, 699, 950, 630, 32, 496, 32, 699, 30, 330, 314, 81, 800, 950, 630, 32, 37749, 32, 314, 81, 800, 1748, 291, 630, 32, 2245, 81, 965, 280, 10156, 26, 2245, 30, 10306, 12516, 6572, 950, 630, 32, 37749, 32, 6572, 1748, 291, 630, 32, 965, 280, 10156, 26, 1403, 81, 605, 30, 10306, 1279, 324, 330, 699, 950, 630, 32, 496, 32, 699, 30, 324, 330, 314, 81, 800, 950, 630, 32, 37749, 32, 314, 81, 800, 291, 1790, 284, 665, 617, 10333, 81, 7011, 13733, 26, 784, 30, 1505, 81, 965, 47, 2700, 711, 291, 415, 19326, 26, 3550, 30, 330, 718, 61, 39419, 81, 2413, 683, 461, 766, 400, 308, 1206, 1505, 81, 965, 556, 630, 1114, 1553, 81, 965, 26, 3550, 32, 718, 61, 39419, 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, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 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, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 2, 4, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 5, 5, 7, 8, 7, 3, 3, 6, 7, 7, 7, 5, 5, 6, 6, 6, 3, 3, 6, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 0, 2, 4, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 5, 5, 7, 8, 7, 3, 3, 6, 7, 7, 7, 5, 5, 6, 6, 6, 3, 3, 6, 7, 5, 5, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 7, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 8, 9, 10, 10, 13, 13, 11, 13, 14, 12, 13, 10, 10, 13, 13, 13, 13, 11, 13, 14, 12, 13, 13, 13, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 8, 9, 13, 13, 11, 13, 14, 12, 13, 10, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 8, 9, 10, 10, 13, 13, 11, 13, 14, 12, 13, 10, 10, 10, 13, 13, 13, 13, 11, 13, 14, 12, 13, 13, 13, 10, 10, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 6, 6, 7, 6, 9, 9, 10, 10, 8, 8, 10, 11, 11, 11, 10, 12, 11, 12, 12, 12, 12 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 1, 4, 4, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 1, 2, 9, 9, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 0, 0, 0, 11, 11, 11, 11, 0, 0, 12, 12, 0, 1, 2, 1, 4, 1, 6, 12, 12, 0, 0, 12, 12, 12, 12, 0, 0, 13, 13, 0, 1, 2, 1, 4, 1, 6, 13, 13, 0, 0, 14, 14, 0, 1, 2, 1, 4, 1, 6, 14, 14, 0, 0, 0, 15, 15, 0, 1, 2, 1, 4, 1, 6, 6, 6, 15, 15, 0, 0, 0, 0, 0, 16, 16, 0, 0, 16, 16, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 18, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 19, 19, 1, 1, 1, 2, 1, 2, 19, 19, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 3, 1, 2, 1, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2 ]
[ 1070, 1623, 1188, 6324, 30, 18902, 203, 1070, 787, 764, 272, 32, 2433, 1188, 892, 6567, 30, 1682, 6567, 203, 1070, 787, 764, 272, 32, 1040, 1188, 16469, 81, 363, 81, 30623, 203, 1070, 787, 764, 272, 32, 751, 1188, 4082, 203, 823, 7703, 26, 1097, 711, 284, 804, 280, 225, 35, 10065, 1672, 81, 681, 280, 330, 1647, 25, 284, 4308, 280, 6324, 32, 4642, 32, 2991, 346, 284, 4308, 32, 1877, 1371, 291, 330, 1647, 81, 426, 950, 892, 6567, 1026, 291, 330, 1647, 81, 681, 950, 892, 6567, 1026, 291, 330, 3477, 950, 1682, 6567, 26, 1536, 1057, 1425, 284, 1790, 284, 21986, 280, 2149, 284, 665, 622, 81, 426, 26, 784, 711, 291, 442, 630, 32, 1647, 81, 426, 203, 823, 25122, 26, 3637, 711, 284, 636, 81, 2433, 280, 313, 1647, 81, 426, 20, 284, 8267, 81, 823, 280, 7703, 284, 665, 2552, 1147, 26, 784, 711, 291, 630, 32, 1204, 1147, 81, 101, 81, 1170, 81, 21596, 346, 284, 665, 2552, 1147, 81, 101, 81, 1170, 81, 21596, 26, 784, 711, 291, 436, 309, 328, 630, 44, 324, 537, 81, 3477, 280, 1605, 324, 27437, 280, 309, 32, 3477, 32, 2998, 35052, 324, 27437, 280, 16469, 81, 363, 81, 30623, 26, 22860, 27, 324, 436, 20527, 81, 426, 328, 27437, 44, 400, 20527, 81, 426, 280, 20527, 81, 426, 32, 7201, 346, 400, 415, 20527, 81, 426, 610, 40496, 528, 4036, 400, 20527, 280, 630, 32, 1809, 81, 1170, 81, 426, 26, 21596, 81, 426, 27, 400, 415, 20527, 438, 646, 1665, 44, 528, 537, 81, 3477, 32, 1689, 26, 21596, 27, 400, 813, 44, 528, 1137, 280, 7185, 1647, 79, 8665, 904, 101, 2297, 645, 904, 101, 20, 904, 308, 21596, 81, 426, 30, 309, 32, 371, 81, 426, 1157, 528, 4082, 32, 731, 26, 530, 27, 528, 309, 32, 5983, 81, 4275, 32, 1689, 26, 530, 27, 324, 309, 32, 3477, 280, 537, 81, 3477, 284, 665, 18135, 26, 784, 711, 291, 3097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 7, 8, 6, 7, 6, 2, 2, 5, 6, 5, 6, 6, 9, 9, 9, 9, 7, 9, 9, 6, 6, 9, 9, 9, 9, 7, 9, 9, 6, 6, 9, 9, 7, 9, 9, 11, 10, 12, 6, 6, 2, 2, 4, 4, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 5, 5, 5, 9, 9, 8, 8, 6, 6, 8, 8, 11, 12, 10, 11, 10, 6, 6, 8, 8, 10, 10, 10, 10, 10, 11, 10, 6, 6, 7, 8, 8, 7, 7, 7, 7, 7, 11, 11, 10, 10, 13, 13, 12, 13, 12, 8, 8, 9, 11, 11, 10, 10, 9, 9, 8, 8, 10, 10, 12, 13, 13, 13, 13, 13, 12, 13, 13, 13, 12, 8, 8, 9, 10, 10, 10, 9, 9, 9, 14, 14, 13, 14, 13, 14, 13, 9, 9, 10, 10, 10, 13, 13, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 14, 14, 16, 16, 16, 15, 15, 17, 18, 18, 18, 17, 11, 11, 14, 15, 14, 15, 14, 11, 11, 15, 16, 16, 16, 14, 15, 14, 15, 14, 6, 6, 9, 10, 8, 8, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 2, 1, 2, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 3, 0, 1, 1, 1, 1, 2, 5, 0, 1, 0, 1, 1, 1, 1, 4, 4, 0, 0, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 2, 2, 2, 0, 5, 5, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 2, 0, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 5, 5, 3, 1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5, 5, 1, 0, 0, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 5, 5, 0, 2, 0, 0, 2, 2, 4, 4, 4, 2, 1, 2, 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 ]
[ 465, 316, 203, 1270, 44, 284, 645, 32714, 107, 32, 9003, 1188, 27556, 30, 37136, 4439, 720, 203, 7343, 29986, 44, 10065, 645, 32714, 107, 32, 9003, 1188, 37136, 4439, 619, 27556, 30, 37136, 4439, 720, 203, 81, 49011, 81, 74, 4065, 81, 38857, 280, 316, 32, 6993, 26, 100, 2473, 1958, 1162, 50, 6505, 24183, 33, 346, 6155, 2502, 78, 4987, 490, 49, 9501, 683, 203, 823, 3704, 5350, 27534, 4439, 26, 4439, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1789, 47, 2521, 30, 47997, 47, 2521, 30, 1994, 47, 2521, 30, 353, 319, 1132, 30, 1115, 5321, 711, 291, 10306, 710, 1986, 785, 280, 1789, 291, 2599, 26, 2595, 5350, 27534, 4439, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 1986, 280, 1789, 291, 630, 32, 35296, 280, 47997, 556, 1789, 32, 35296, 291, 630, 32, 2543, 280, 1994, 284, 665, 617, 2682, 81, 1267, 26, 784, 30, 1056, 711, 291, 415, 827, 26, 1267, 27, 438, 646, 1149, 44, 324, 1056, 280, 428, 1267, 79, 291, 442, 428, 784, 3667, 823, 3207, 35296, 47, 784, 32, 35296, 30, 1994, 47, 87, 27, 400, 436, 484, 328, 1056, 79, 284, 665, 2192, 26, 784, 30, 37773, 711, 291, 816, 7202, 292, 104, 280, 630, 32, 2543, 415, 630, 32, 2543, 813, 630, 32, 35296, 291, 22206, 280, 617, 49011, 81, 74, 4065, 81, 38857, 32, 2872, 26, 16689, 27, 291, 821, 1333, 280, 39178, 2425, 280, 1665, 291, 415, 22206, 44, 324, 2530, 30, 821, 1333, 30, 636, 30, 39178, 2425, 280, 22206, 32, 6332, 346, 324, 415, 821, 1333, 44, 400, 37773, 280, 37773, 20129, 1657, 26, 426, 27, 429, 225, 36, 79, 324, 4348, 39178, 2425, 461, 636, 610, 330, 878, 950, 400, 37773, 280, 37773, 20129, 1657, 26, 426, 27, 429, 225, 37, 79, 291, 1056, 280, 630, 1114, 2682, 81, 1267, 26, 106, 7202, 292, 104, 32, 1809, 81, 7594, 81, 1170, 81, 16689, 26, 16689, 490, 291, 415, 821, 1333, 44, 324, 1056, 280, 4638, 1212, 2212, 26, 100, 32, 2543, 30, 636, 27, 436, 540, 328, 1056, 27, 291, 4348, 39178, 2425, 461, 1056, 461, 636, 610, 330, 878, 950, 324, 1056, 280, 4638, 1031, 1212, 26, 784, 32, 35296, 30, 540, 32, 2543, 27, 436, 540, 328, 1056, 27, 291, 442, 37136, 4439, 720, 26, 1267, 27, 284, 665, 2192, 81, 1423, 26, 784, 30, 3261, 30, 319, 1132, 711, 291, 1056, 280, 630, 32, 35296, 32, 4526, 81, 1423, 26, 1423, 30, 319, 1132, 27, 291, 442, 37136, 4439, 720, 26, 784, 1114, 2682, 81, 1267, 26, 1267, 490, 284, 665, 6571, 26, 784, 711, 291, 442, 630, 32, 2543, 32, 878, 415, 630, 32, 2543, 813, 1665, 203, 823, 617, 1212, 2212, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1994, 30, 3879, 711, 291, 630, 32, 2543, 280, 1994, 291, 630, 32, 4890, 280, 3879, 284, 665, 6571, 26, 784, 711, 291, 442, 630, 32, 2543, 32, 371, 81, 4890, 26, 784, 32, 4890, 27, 203, 823, 617, 1031, 1212, 26, 1473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 5, 3, 3, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 4, 6, 5, 6, 4, 4, 7, 5, 5, 4, 4, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 7, 9, 9, 6, 6, 4, 4, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 7, 7, 8, 9, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 8, 6, 6, 6, 5, 5, 5, 8, 8, 10, 9, 4, 4, 5, 9, 8, 9, 9, 10, 9, 11, 10, 11, 8, 8, 9, 10, 8, 6, 6, 7, 7, 7, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 6, 6, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 8, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 7, 7, 4, 4, 5, 5, 5, 5, 9, 9, 10, 9, 9, 9, 9, 10, 8, 8, 10, 11, 10, 6, 6, 7, 8, 7, 7, 7, 10, 10, 11, 16, 16, 17, 16, 13, 13, 14, 11, 7, 7, 8, 10, 9, 9, 10, 10, 12, 12, 8, 8, 11, 11, 12, 17, 17, 18, 17, 14, 14, 15, 12, 4, 4, 6, 6, 8, 9, 9, 9, 8, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 10, 11, 10, 4, 4, 5, 6, 5, 5, 5, 8, 8, 11, 11, 11, 13, 12, 13, 11, 11, 11, 9, 10, 10, 10, 9, 5, 5, 6, 9, 8, 8, 7, 7, 8, 8, 10, 10, 6, 6, 9, 9, 12, 12, 12, 14, 13, 14, 12, 12, 13, 14, 12, 10, 11, 11, 11, 10, 4, 4, 5, 7, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 8, 10, 8, 4, 4, 5, 7, 7, 7, 10, 9, 10, 10, 10, 9, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 6, 6, 7, 8, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 8, 8, 7, 9, 8, 9, 7, 0, 1, 1, 2, 2, 2, 3 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 3, 0, 0, 1, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 4, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 3, 2, 1, 1, 1, 2, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 3, 3, 3, 3, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 0, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 5, 1, 5, 5, 5, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 4, 0, 0, 0, 1, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 2, 2, 2, 2, 2, 4, 4, 6, 0, 0, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 5, 5, 1, 1, 2, 1 ]
[ 465, 26015, 203, 465, 26015, 32, 105, 410, 1690, 203, 465, 14735, 203, 465, 2322, 203, 465, 6314, 203, 465, 44524, 203, 465, 617, 4463, 1582, 203, 1070, 485, 591, 32, 1580, 1188, 354, 2548, 203, 1070, 485, 591, 32, 1356, 1188, 34487, 853, 203, 1070, 485, 591, 32, 1356, 1188, 8745, 203, 7638, 81, 33637, 81, 30064, 81, 63, 807, 3746, 280, 225, 35, 35, 40, 38, 38, 38, 41, 37, 40, 34, 34, 203, 3307, 81, 4409, 280, 225, 34, 106, 36, 34, 34, 35, 43, 203, 589, 5477, 10942, 1215, 40608, 1215, 26, 983, 711, 334, 1519, 280, 1519, 32, 3227, 30706, 18474, 657, 334, 442, 1519, 32, 7201, 22899, 657, 203, 11184, 1237, 37, 36, 280, 26015, 32, 12094, 611, 32, 11184, 1237, 37, 36, 203, 7580, 12323, 280, 26015, 32, 21569, 26, 32271, 32, 105, 410, 1690, 32, 12323, 27, 203, 7580, 12644, 280, 26015, 32, 21569, 26, 32271, 32, 105, 410, 1690, 32, 12644, 27, 203, 2930, 81, 6685, 280, 225, 34, 203, 2930, 81, 39469, 81, 4601, 280, 225, 36, 37, 38, 203, 823, 2032, 1043, 26, 32271, 32, 8634, 711, 334, 617, 4151, 81, 280, 428, 440, 7955, 11994, 4852, 392, 26015, 32, 105, 410, 1690, 32, 12323, 471, 1090, 2884, 7955, 7554, 4852, 392, 26015, 32, 105, 410, 1690, 32, 12323, 2177, 203, 3339, 4173, 953, 280, 9767, 1237, 37, 36, 32, 3339, 4173, 953, 261, 203, 3339, 4173, 953, 32, 4738, 411, 280, 26015, 32, 85, 81, 3222, 203, 3339, 4173, 953, 32, 626, 2516, 280, 428, 32271, 32, 85, 81, 1117, 81, 98, 79, 203, 3339, 2759, 953, 571, 280, 9767, 1237, 37, 36, 32, 3339, 2759, 953, 571, 73, 261, 203, 3339, 2759, 953, 571, 32, 4738, 411, 280, 26015, 32, 85, 81, 3222, 203, 3339, 2759, 953, 571, 32, 626, 2516, 280, 428, 32271, 32, 85, 81, 1117, 81, 98, 30, 26015, 32, 105, 410, 1690, 32, 12323, 30, 656, 26015, 32, 85, 81, 36972, 81, 98, 30, 15717, 12323, 30, 656, 15717, 12323, 30, 26015, 32, 85, 81, 36972, 81, 98, 30, 15717, 12323, 30, 656, 26015, 32, 21569, 26, 974, 1043, 2177, 203, 3339, 40751, 280, 9767, 1237, 37, 36, 32, 3339, 40751, 73, 261, 203, 3339, 40751, 32, 4738, 411, 280, 26015, 32, 85, 81, 3222, 203, 3339, 40751, 32, 626, 2516, 280, 428, 32271, 32, 85, 81, 1117, 81, 98, 30, 26015, 32, 105, 410, 1690, 32, 12323, 30, 656, 26015, 32, 85, 81, 36972, 81, 98, 30, 15717, 12323, 30, 15717, 12323, 30, 15717, 12323, 30, 15717, 12644, 30, 656, 15717, 12323, 79, 203, 3339, 2961, 953, 571, 280, 9767, 1237, 37, 36, 32, 3339, 2961, 953, 571, 73, 261, 203, 3339, 2961, 953, 571, 32, 4738, 411, 280, 26015, 32, 85, 81, 3222, 203, 3339, 2961, 953, 571, 32, 626, 2516, 280, 428, 32271, 32, 85, 81, 1117, 81, 98, 30, 26015, 32, 85, 81, 36972, 81, 98, 30, 26015, 32, 85, 81, 15473, 30, 656, 26015, 32, 85, 81, 15473, 30, 26015, 32, 21569, 26, 32271, 32, 85, 81, 1117, 81, 98 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 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, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 6, 8, 2, 2, 3, 5, 6, 5, 7, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 3, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 5, 4, 7, 6, 7, 7, 7, 5, 6, 4, 0, 3, 3, 2, 2, 4, 5, 4, 7, 6, 7, 7, 7, 5, 6, 4, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 8, 8, 8, 8, 6, 8, 9, 9, 9, 7, 8, 6, 5, 5, 8, 8, 8, 8, 6, 8, 9, 9, 9, 7, 8, 6, 0, 3, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 0, 0, 4, 4, 4, 3, 4, 4, 2, 2, 3, 4, 4, 4, 0, 4, 4, 4, 3, 4, 4, 2, 2, 5, 4, 5, 5, 5, 5, 5, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 3, 4, 4, 2, 2, 3, 4, 4, 4, 0, 4, 4, 4, 4, 3, 4, 4, 2, 2, 5, 4, 5, 5, 5, 5, 5, 3, 3, 5, 6, 6, 6, 4, 5, 3, 3, 3, 4, 5, 5, 5, 5, 5, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 5, 5, 5, 5, 3, 3, 4, 3, 3, 3, 5, 6, 5, 6, 6, 5, 0, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 0, 0, 4, 4, 3, 4, 4, 2, 2, 3, 4, 4, 4, 0, 4, 4, 3, 4, 4, 2, 2, 5, 4, 5, 5, 5, 5, 5, 3, 3, 5, 6, 6, 6, 4, 5, 3, 3, 3, 4, 5, 5, 5, 5, 5, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 3, 4, 4, 2, 2, 3, 4, 4, 4, 0, 4, 4, 4, 4, 3, 4, 4, 2, 2, 5, 4, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 3, 3, 3, 4, 5, 5, 5, 3, 3, 5, 6, 5, 7, 6, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 12, 12, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 2, 1, 1, 2, 4, 4, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 18, 18, 1, 2, 0, 1, 2, 2, 18, 18, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 2, 3, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 11, 2, 2, 2, 2, 2, 2, 2, 13, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 9, 2, 2, 11, 2, 2, 13, 2, 2, 2, 15, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2 ]
[ 465, 5237, 203, 465, 15798, 203, 505, 1648, 505, 280, 330, 35, 32, 36, 25, 203, 3731, 32, 3477, 710, 2323, 785, 280, 5237, 32, 3477, 77, 505, 426, 505, 79, 203, 823, 4581, 44, 284, 665, 1156, 1664, 3207, 784, 30, 3082, 426, 30, 1256, 711, 291, 630, 32, 32860, 280, 3082, 426, 291, 630, 32, 496, 280, 1256, 291, 630, 32, 1516, 81, 17439, 280, 225, 34, 284, 665, 4230, 26, 784, 711, 291, 630, 32, 1516, 81, 17439, 280, 225, 34, 284, 665, 2467, 26, 784, 711, 291, 630, 32, 1516, 81, 17439, 1454, 225, 35, 203, 3731, 32, 983, 32, 3215, 26, 35, 30, 4963, 497, 683, 203, 1070, 4581, 2755, 1188, 7155, 66, 29291, 22971, 203, 823, 2108, 5291, 66, 29291, 22971, 26, 18986, 32, 7233, 711, 284, 665, 1672, 81, 1199, 5178, 26, 784, 30, 1769, 16796, 711, 291, 442, 7155, 66, 29291, 22971, 32, 66, 29291, 22971, 26, 1449, 16796, 30, 324, 330, 5291, 66, 29291, 22971, 1006, 1996, 370, 330, 5291, 66, 29291, 22971, 1006, 1240, 683, 284, 665, 894, 34, 81, 1553, 81, 1648, 26, 784, 711, 291, 645, 4581, 2755, 1188, 1156, 1648, 505, 619, 4581, 2755, 2062, 291, 630, 32, 5299, 26, 1996, 2755, 2062, 30, 1156, 1648, 8223, 291, 630, 32, 5299, 26, 5291, 66, 29291, 22971, 3667, 1648, 7642, 1156, 1648, 8223, 291, 630, 32, 5299, 26, 5291, 66, 29291, 22971, 32, 66, 29291, 22971, 32, 1648, 30, 1156, 1648, 8223, 284, 665, 894, 35, 81, 1297, 81, 3841, 26, 784, 711, 291, 3082, 5178, 280, 630, 32, 1772, 81, 1199, 5178, 26, 35, 27, 291, 3082, 280, 3082, 5178, 32, 3841, 346, 291, 630, 32, 6549, 26, 2040, 2437, 26, 1199, 30, 330, 1217, 2847, 291, 630, 32, 6549, 26, 2040, 2437, 26, 1199, 30, 330, 1516, 81, 17439, 2847, 291, 630, 32, 5299, 26, 1199, 32, 1516, 81, 17439, 30, 225, 34, 27, 291, 630, 32, 6549, 26, 2040, 2437, 26, 1199, 30, 330, 32860, 2847, 291, 630, 32, 5299, 26, 1199, 32, 32860, 30, 330, 5291, 66, 29291, 22971, 1006, 1996, 683, 291, 630, 32, 6549, 26, 2040, 2437, 26, 1199, 30, 330, 496, 2847, 291, 630, 32, 5299, 26, 1199, 32, 496, 30, 330, 5291, 66, 29291, 22971, 1006, 1240, 683, 291, 3082, 32, 1217, 346, 291, 630, 32, 5299, 26, 1199, 32, 1516, 81, 17439, 30, 225, 35, 27, 284, 665, 894, 36, 81, 2679, 81, 3841, 26, 784, 711, 291, 3082, 5178, 280, 630, 32, 1772, 81, 1199, 5178, 26, 35, 27, 291, 3082, 280, 3082, 5178, 32, 3841, 346, 291, 630, 32, 5299, 26, 1199, 32, 1516, 81, 17439, 30, 225, 34, 27, 291, 3082, 32, 1217, 346, 291, 630, 32, 5299, 26, 1199, 32, 1516, 81, 17439, 30, 225, 35, 27, 291, 3082, 32, 2679, 346, 291, 630, 32, 6549, 26, 1206, 19326, 26, 1199, 30, 330, 1516, 81, 17439, 2847, 291, 3082, 280, 3082, 5178, 32, 3841, 346, 291, 630, 32, 6549, 26, 2040, 2437, 26, 1199, 30, 330, 32860, 2847, 291, 630, 32, 5299, 26, 1199, 32, 32860, 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, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 5, 4, 5, 3, 5, 5, 2, 2, 4, 5, 3, 4, 4, 4, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 5, 5, 0, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 5, 5, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 8, 9, 9, 7, 8, 8, 4, 4, 7, 8, 7, 10, 10, 10, 10, 9, 10, 10, 10, 8, 9, 7, 7, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 10, 9, 9, 11, 11, 4, 4, 7, 8, 7, 9, 9, 9, 10, 9, 9, 11, 11, 11, 11, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 10, 9, 9, 11, 11, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 9, 9, 9, 10, 9, 9, 11, 11, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 4, 4, 6, 6, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 8, 8, 10, 11, 10, 10, 12, 12, 12, 12, 4, 4, 6, 6, 9, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 10, 9, 9, 11, 11, 4, 4, 7, 8, 7, 9, 8, 9, 7 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 4, 4, 4, 4, 4, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 3, 3, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 3, 3, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 7, 7, 1, 1, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 1, 2, 1, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 3, 3, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 3, 3, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2361, 203, 465, 5167, 203, 1070, 18792, 32, 21332, 32, 39362, 32, 2208, 1188, 1984, 4434, 203, 465, 296, 31501, 203, 1070, 296, 31501, 32, 1160, 32, 2812, 1188, 6211, 203, 1070, 296, 31501, 1188, 617, 203, 1070, 296, 31501, 32, 2304, 1188, 622, 81, 965, 30, 1476, 81, 7133, 81, 1959, 30, 281, 410, 30, 2022, 102, 30, 281, 466, 203, 1070, 296, 31501, 32, 37502, 32, 2304, 1188, 1487, 81, 1357, 81, 751, 30, 1487, 81, 7948, 81, 10419, 203, 1070, 296, 31501, 32, 2304, 1188, 622, 81, 1357, 81, 2851, 81, 2468, 203, 1070, 10388, 6546, 20967, 1188, 4450, 7785, 30, 6144, 7785, 203, 1070, 296, 31501, 32, 2304, 32, 2895, 1188, 622, 81, 286, 10515, 81, 2895, 203, 823, 18425, 6546, 2963, 26, 3092, 711, 203, 202, 7095, 81, 45495, 280, 3037, 521, 68, 1446, 203, 202, 589, 6042, 26, 784, 711, 357, 202, 1297, 81, 7948, 81, 10419, 463, 8691, 6546, 683, 357, 202, 1851, 81, 7133, 81, 1959, 463, 7948, 81, 10419, 81, 6565, 370, 16686, 1057, 8691, 6546, 683, 203, 202, 589, 6042, 81, 6554, 81, 8084, 26, 784, 30, 12414, 711, 357, 202, 325, 12414, 646, 328, 630, 32, 7095, 81, 45495, 44, 355, 202, 48020, 32, 5261, 41648, 6574, 2192, 4674, 11837, 1411, 32, 18425, 6546, 1957, 646, 2193, 14864, 328, 12414, 8930, 34, 8129, 1895, 1643, 26, 8084, 490, 203, 202, 589, 622, 81, 7948, 81, 965, 26, 784, 30, 1115, 5321, 711, 357, 202, 9592, 2891, 11837, 1984, 623, 10204, 2803, 9592, 357, 202, 11613, 81, 1357, 280, 1487, 81, 1357, 81, 751, 26, 5321, 30, 313, 3663, 392, 313, 8691, 6546, 657, 357, 202, 5321, 32, 1877, 26, 2665, 26, 1174, 81, 314, 47, 11613, 81, 1357, 32, 426, 490, 357, 202, 601, 622, 81, 965, 12004, 37502, 33, 7007, 6546, 81, 15199, 49, 109, 34, 16054, 1643, 26, 965, 4434, 26, 5321, 2610, 203, 589, 622, 81, 7007, 6546, 81, 1163, 2262, 203, 202, 9592, 3759, 10388, 6546, 1359, 5881, 203, 202, 7007, 6546, 81, 1163, 280, 296, 31501, 32, 1199, 32, 371, 81, 1738, 1882, 81, 2665, 463, 8691, 6546, 9923, 683, 203, 202, 7007, 6546, 81, 1163, 32, 1877, 26, 2665, 26, 27817, 81, 678, 47, 371, 81, 286, 10515, 81, 2895, 463, 8691, 6546, 9923, 370, 330, 8691, 6546, 9923, 370, 330, 27817, 81, 678, 21180, 203, 202, 325, 281, 410, 26, 7007, 6546, 81, 1163, 32, 25396, 711, 357, 202, 7007, 6546, 81, 1163, 32, 1877, 26, 2665, 26, 355, 202, 12787, 347, 13803, 635, 44561, 392, 355, 202, 965, 1057, 641, 555, 11850, 16367, 31, 9279, 32, 7007, 6546, 32, 266, 33, 1174, 33, 2416, 370, 355, 202, 6554, 81, 1517, 81, 965, 1057, 641, 555, 11850, 16367, 31, 9279, 32, 7007, 6546, 32, 266, 33, 1174, 33, 1517, 370, 355, 202, 47474, 81, 681, 81, 314, 1057, 613, 19406, 25, 357, 202, 490, 203, 202, 1824, 44, 357, 202, 7007, 6546, 81, 1163, 32, 1877, 26, 2665, 26, 355, 202, 965, 1057, 641 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 7, 7, 2, 2, 3, 3, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 9, 9, 9, 4, 4, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 8, 10, 10, 10, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 6, 6, 6, 7, 8, 8, 8, 5, 5, 5, 10, 9, 10, 9, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 11, 12, 11, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 8, 10, 10, 10, 4, 4, 8, 7, 8, 7, 9, 9, 11, 11, 11, 10, 12, 12, 12, 11, 12, 9, 4, 4, 5, 5, 7, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 11, 11, 11, 12, 11, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 8, 7, 8, 6, 7, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 2, 2, 6, 6, 6, 6, 5, 6, 5, 7, 7, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 10, 12, 12, 12, 12, 10, 12, 12, 12, 12, 2, 2, 3, 3, 5, 5, 7, 7, 7, 7, 6, 7, 5, 3, 3, 8, 8, 8, 8, 7, 8, 7, 9, 9, 9, 9, 11, 10, 12, 12, 12, 12, 9, 9, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 11, 11, 11, 11, 11, 10, 12, 12, 12, 9, 9, 9, 3, 3, 4, 4, 4, 4, 9, 9, 9, 9, 8, 9, 8, 10, 10, 10, 10, 12, 11, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 10, 10, 0, 10, 10, 0, 0, 11, 11, 0, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 0, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 4, 4, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 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, 2, 1, 1, 1, 4, 4, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 4, 4, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 13, 13, 1, 1, 1, 1, 1, 2, 13, 13, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 3, 3, 0, 1, 0, 0, 0, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 7, 1, 1, 2, 1, 1, 1, 3, 3, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 1459, 81, 1126, 203, 1070, 7138, 1188, 30784, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 2304, 1188, 22158, 203, 1070, 2361, 1495, 1188, 3398, 1176, 203, 1070, 309, 3038, 32, 1199, 32, 3378, 1188, 24151, 1478, 13343, 30, 3678, 30, 309, 2600, 81, 13707, 203, 823, 6227, 6729, 26, 1243, 711, 284, 1256, 280, 24151, 1478, 13343, 26, 3550, 32, 9036, 81, 4975, 81, 14483, 27, 284, 3796, 81, 6385, 280, 24151, 1478, 13343, 463, 38022, 32, 2681, 2570, 683, 284, 5204, 280, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 35, 36, 42, 27, 284, 706, 280, 3398, 1176, 346, 284, 2401, 81, 19640, 280, 4549, 32, 36172, 26, 1536, 47, 18218, 32, 2174, 27, 284, 2401, 81, 5207, 318, 280, 4549, 32, 36172, 26, 1536, 47, 18218, 32, 2174, 27, 284, 2340, 81, 11043, 280, 4549, 32, 36172, 26, 1536, 47, 18218, 32, 2174, 27, 284, 443, 11985, 44, 291, 1123, 81, 1172, 280, 330, 38022, 25, 291, 3082, 81, 1274, 280, 330, 38022, 81, 2393, 8543, 25, 291, 5799, 81, 36202, 280, 308, 463, 2393, 81, 6385, 370, 330, 4840, 1425, 2726, 2393, 81, 6385, 370, 330, 496, 2847, 284, 1156, 13707, 505, 280, 309, 2600, 81, 13707, 463, 496, 81, 314, 370, 330, 2393, 81, 6385, 81, 314, 683, 284, 665, 622, 81, 16676, 81, 751, 81, 605, 26, 784, 711, 291, 442, 301, 324, 330, 496, 81, 314, 950, 630, 32, 496, 81, 314, 30, 324, 330, 605, 950, 630, 32, 605, 30, 291, 320, 284, 665, 438, 81, 1327, 26, 784, 30, 5809, 711, 291, 415, 18623, 26, 3656, 32, 4545, 30, 330, 26306, 44, 5790, 7831, 324, 442, 3177, 291, 415, 646, 18623, 26, 3656, 32, 4545, 30, 330, 26306, 44, 11128, 7831, 324, 442, 3177, 291, 415, 646, 630, 32, 2135, 81, 19640, 44, 324, 442, 3177, 291, 415, 630, 32, 2135, 81, 19640, 333, 22158, 32, 2174, 346, 429, 30784, 26, 14991, 47, 36, 38, 711, 324, 442, 3177, 291, 442, 2933, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 6, 8, 8, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 8, 9, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 8, 9, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 7, 9, 8, 9, 6, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 10, 10, 10, 10, 8, 10, 10, 7, 10, 10, 10, 10, 8, 10, 10, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 9, 9, 9, 9, 7, 8, 9, 9, 9, 6, 6, 6, 9, 9, 7, 8, 9, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 5, 5, 7, 4, 4, 5, 6, 8, 10, 9, 10, 8, 8, 10, 10, 10, 10, 5, 5, 7, 4, 4, 5, 6, 7, 8, 8, 8, 5, 5, 5, 7, 4, 4, 5, 7, 8, 8, 8, 6, 6, 9, 10, 9, 7, 7, 9, 11, 10, 11, 11, 9, 5, 5, 7, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 7, 7, 7, 7, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 4, 4, 10, 1, 1, 2, 1, 2, 2, 2, 10, 10, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 4, 4, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 4, 4, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 4, 4, 3, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 3, 3, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 1070, 310, 417, 295, 32, 43075, 32, 520, 88, 32, 2832, 2310, 8774, 1188, 1188, 1761, 3234, 203, 1163, 280, 766, 203, 109, 5235, 330, 19135, 950, 330, 761, 555, 25, 474, 2322, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 7781, 4064, 761, 36762, 225, 11244, 4963, 15183, 33, 6656, 81, 34, 32, 4700, 1425, 334, 330, 1160, 2778, 950, 301, 330, 573, 2778, 950, 301, 801, 4511, 330, 12601, 2778, 950, 301, 330, 272, 27123, 950, 301, 801, 330, 38974, 950, 225, 34, 835, 4511, 330, 419, 2778, 950, 301, 801, 4511, 330, 491, 2778, 950, 301, 41196, 203, 1803, 280, 1188, 1761, 3234, 10198, 1439, 33, 2310, 32, 978, 370, 1359, 27, 203, 22457, 922, 1877, 26, 1803, 3667, 2665, 8223, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 3, 3, 3, 3, 6, 6, 4, 7, 7, 7, 5, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 6, 6, 6, 4, 5, 8, 8, 8, 6, 7, 5, 5, 8, 8, 8, 6, 7, 10, 10, 10, 8, 9, 7, 10, 10, 8, 9, 7, 5, 5, 8, 8, 8, 6, 7, 5, 5, 8, 8, 8, 6, 7, 0, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 0, 5, 5, 4, 3, 5, 4, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 1, 1, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 2, 3, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 3, 2, 1, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 1, 2, 5, 2, 2, 2, 1, 1, 2, 7, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 16539, 203, 465, 5237, 203, 2636, 81, 9292, 81, 26986, 2636, 280, 428, 284, 2726, 4783, 370, 330, 3902, 370, 330, 4154, 370, 2107, 2188, 330, 69, 1425, 284, 2726, 4783, 370, 330, 106, 42, 40, 370, 330, 4154, 370, 2107, 31, 88, 25370, 2188, 330, 69, 1425, 284, 2726, 4783, 370, 330, 106, 42, 40, 81, 40, 38, 370, 330, 4154, 370, 2107, 2188, 330, 69, 1425, 284, 2726, 4229, 370, 330, 106, 42, 40, 370, 330, 4229, 22330, 370, 2107, 31, 88, 25370, 2188, 330, 69, 1425, 284, 2726, 4229, 370, 330, 106, 42, 40, 81, 40, 38, 370, 330, 4229, 22330, 370, 2107, 2188, 330, 69, 1425, 284, 2726, 4463, 370, 330, 106, 42, 40, 81, 40, 38, 370, 330, 6294, 95, 370, 2107, 2188, 330, 7734, 1425, 203, 79, 203, 10007, 81, 3687, 62, 81, 14137, 280, 301, 284, 2726, 4783, 370, 330, 3902, 7831, 428, 291, 330, 1617, 33, 8861, 33, 8541, 35, 37, 34, 39, 33, 8541, 35, 37, 34, 39, 81, 3902, 81, 7734, 32, 69, 370, 291, 330, 1617, 33, 8861, 33, 380, 48486, 33, 380, 48486, 81, 3137, 81, 3902, 32, 69, 370, 284, 2505, 203, 111, 203, 3539, 81, 10870, 280, 1524, 21, 2640, 308, 85, 27, 225, 36, 34, 35, 38, 886, 27672, 13998, 32, 3367, 4751, 5215, 32, 203, 21, 4417, 432, 458, 1914, 1340, 438, 17547, 810, 312, 11895, 31, 1621, 3541, 688, 883, 526, 203, 21, 2431, 328, 322, 7616, 803, 32, 203, 21, 1348, 803, 438, 3272, 810, 1974, 81, 4679, 1295, 81, 363, 81, 7734, 32, 978, 32, 3278, 646, 4553, 10288, 32, 203, 2993, 203, 589, 7477, 10344, 26, 5660, 711, 334, 21816, 2536, 280, 1605, 334, 436, 308, 983, 30, 4950, 26719, 27, 328, 2322, 32, 11905, 26, 5660, 711, 284, 436, 4870, 328, 26719, 44, 397, 415, 4870, 610, 330, 9252, 12981, 32, 2760, 950, 291, 21816, 2536, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 4870, 490, 334, 442, 21816, 2536, 203, 589, 3139, 4470, 26, 43736, 30, 438, 81, 1515, 711, 334, 415, 438, 81, 1515, 44, 284, 442, 343, 304, 863, 330, 858, 25, 334, 442, 330, 858, 4564, 646, 328, 343, 304, 461, 646, 343, 304, 32, 15990, 463, 2763, 81, 683, 203, 589, 9287, 4470, 26, 43736, 30, 438, 81, 1515, 711, 334, 415, 438, 81, 1515, 44, 284, 442, 2933, 334, 442, 7610, 858, 4564, 328, 343, 304, 556, 343, 304, 32, 15990, 463, 2763, 81, 683, 203, 589, 7477, 53, 3839, 26, 5660, 30, 2761, 81, 1298, 711, 334, 281, 2536, 280, 1605, 334, 436, 308, 983, 30, 4921, 4243, 30, 26719, 27, 328, 2322, 32, 11905, 26, 5660, 711, 284, 436, 4870, 328, 26719, 44, 397, 415, 4870, 32, 20643, 3949, 85, 683, 461, 2761, 81, 1298, 26, 3607, 30, 3177, 711, 291, 281, 2536, 32, 1689, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 4870, 490, 291, 4036, 284, 436, 308, 91, 30, 24797, 27, 328, 10703, 26, 1515, 4243, 711, 397, 415, 646, 2761, 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, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 4, 6, 6, 4, 7, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 4, 7, 7, 7, 7, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 4, 7, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 6, 4, 7, 7, 7, 7, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 4, 7, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 4, 7, 4, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 7, 7, 5, 7, 7, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 5, 4, 4, 4, 4, 3, 3, 5, 6, 5, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 7, 8, 8, 10, 10, 10, 10, 10, 7, 7, 12, 11, 12, 11, 15, 14, 15, 13, 14, 13, 14, 13, 13, 13, 2, 2, 3, 4, 0, 1, 1, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 7, 6, 6, 8, 8, 2, 2, 3, 7, 7, 5, 5, 5, 6, 4, 4, 5, 8, 7, 8, 7, 9, 9, 9, 0, 1, 1, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 2, 2, 3, 7, 7, 5, 5, 6, 4, 4, 7, 6, 7, 6, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 3, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 5, 6, 5, 3, 3, 5, 5, 5, 5, 5, 5, 7, 10, 11, 10, 12, 12, 8, 8, 10, 10, 10, 11, 10, 10, 10, 7, 7, 12, 11, 12, 11, 15, 14, 15, 13, 14, 13, 14, 13, 13, 13, 8, 8, 4, 4, 5, 7, 6, 6, 6, 5, 5, 7, 8, 8, 7, 5, 5, 7, 8, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 2, 5, 1, 2, 5, 1, 5, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 2, 7, 1, 1, 2, 7, 1, 1, 1, 2, 7, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 2, 9, 1, 9, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 2, 11, 1, 11, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 6, 1, 2, 1, 2, 6, 6, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 7, 7, 1, 2, 1, 2, 2, 3, 3, 2, 7, 7, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 8, 8, 1, 2, 1, 2, 2, 3, 3, 2, 8, 8, 0, 1, 1, 0, 0, 0, 0, 4, 4, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 9, 9, 1, 1, 2, 1, 2, 2, 3, 3, 2, 9, 9, 0, 0, 0, 4, 4, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0 ]
[ 465, 2322, 203, 1070, 2322, 8512, 1188, 22024, 279, 30, 337, 771, 30, 2322, 100, 203, 1070, 8202, 32, 1262, 32, 1599, 3976, 1188, 5548, 3976, 203, 1070, 8202, 32, 1262, 32, 10632, 10448, 32551, 1188, 766, 291, 16281, 10448, 32551, 203, 1070, 8202, 32, 4280, 32, 24181, 1188, 319, 203, 24181, 280, 22024, 279, 32, 2961, 26, 1612, 81, 24181, 27, 203, 24181, 1761, 558, 280, 2322, 32, 983, 32, 48271, 26, 500, 32, 983, 32, 15705, 26, 1612, 81, 24181, 29856, 34, 79, 203, 11099, 1534, 280, 26133, 32, 21579, 1534, 203, 24181, 74, 1250, 280, 26133, 32, 21579, 74, 1250, 203, 24181, 75, 1250, 280, 26133, 32, 21579, 75, 1250, 203, 8512, 4859, 280, 26133, 32, 936, 10632, 4859, 346, 203, 24181, 3754, 69, 280, 2322, 100, 32, 23316, 3564, 346, 203, 24181, 3754, 69, 32, 4196, 1792, 73, 4430, 26, 24181, 32, 936, 15706, 2084, 1157, 203, 2402, 280, 337, 771, 32, 2961, 26, 1612, 81, 2402, 30, 3177, 27, 203, 1823, 280, 4026, 32, 936, 4772, 26, 34, 27, 203, 3274, 1534, 280, 5396, 32, 936, 4228, 1534, 346, 203, 325, 2787, 1534, 610, 225, 34, 44, 284, 3636, 16281, 10448, 32551, 26, 324, 330, 8309, 884, 1289, 5359, 328, 1509, 4026, 11834, 203, 2402, 3754, 69, 280, 5396, 32, 936, 23316, 2084, 346, 203, 6057, 280, 1605, 203, 3274, 46685, 280, 5396, 32, 936, 4772, 46685, 346, 203, 979, 595, 328, 35198, 26, 3274, 46685, 32, 27193, 1534, 22805, 284, 1600, 46685, 280, 2787, 46685, 32, 27193, 46685, 26, 91, 27, 284, 6090, 32, 1689, 2009, 1495, 46685, 32, 23712, 2084, 27944, 203, 1823, 32, 7326, 19971, 346, 203, 3274, 280, 5396, 32, 34646, 4228, 346, 203, 5525, 2787, 438, 646, 1665, 44, 284, 436, 595, 328, 35198, 26, 3274, 46685, 32, 27193, 1534, 22805, 291, 1600, 46685, 280, 2787, 46685, 32, 27193, 46685, 26, 91, 27, 291, 415, 1600, 46685, 32, 14774, 346, 610, 337, 771, 32, 28745, 3061, 44, 324, 6090, 77, 91, 997, 1689, 26, 3274, 32, 27193, 1465, 3061, 26, 91, 490, 291, 4348, 1600, 46685, 32, 14774, 346, 610, 337, 771, 32, 28745, 6877, 44, 324, 6090, 77, 91, 997, 1689, 26, 3274, 32, 27193, 1465, 4075, 26, 91, 490, 291, 813, 44, 324, 6090, 77, 91, 997, 1689, 26, 3274, 32, 27193, 15026, 26, 91, 490, 284, 2787, 280, 5396, 32, 34646, 4228, 346, 203, 1700, 280, 225, 34, 203, 2999, 280, 14100, 1534, 474, 2787, 1534, 319, 14100, 1534, 203, 325, 11633, 81, 2402, 81, 452, 81, 24181, 81, 3754, 69, 44, 284, 5099, 4859, 280, 2322, 100, 32, 17062, 21460, 26, 2402, 3754, 69, 30, 26133, 3754, 69, 27, 284, 415, 5099, 4859, 438, 1665, 44, 291, 3636, 16281, 10448, 32551, 26, 400, 330, 924, 2218, 6892, 12651, 17488, 11834, 203, 37037, 280, 26133, 1761, 558, 2867, 42, 79, 203, 979, 595, 328, 35198, 26, 11099, 1534, 711, 284, 1550, 1454, 225, 35, 284, 6538, 32, 470, 18213, 26, 410, 26, 1700, 319, 3380, 490, 284, 26133, 14739, 280, 26133, 32, 936, 21579, 14739, 26, 91, 474, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 2, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 3, 2, 2, 5, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 6, 7, 5, 6, 5, 9, 8, 9, 7, 8, 7, 8, 8, 8, 7, 4, 3, 0, 3, 3, 2, 2, 3, 4, 4, 0, 3, 3, 3, 2, 2, 3, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 4, 4, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 4, 0, 4, 4, 4, 3, 4, 4, 4, 4, 3, 6, 5, 6, 6, 6, 5, 0, 3, 2, 2, 5, 4, 5, 4, 5, 5, 5, 4, 4, 4, 0, 3, 2, 2, 4, 5, 5, 4, 5, 4, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 1, 1, 3, 2, 2, 3, 1, 1, 1, 3, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 2, 2, 0, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 1, 1, 1, 1, 3, 6, 6, 5, 6, 6, 5, 1, 1, 5, 4, 4, 7, 6, 7, 7, 6, 7, 6, 2, 2, 5, 6, 5, 9, 9, 8, 9, 9, 8, 0, 4, 3, 4, 4, 3, 0, 3, 2, 2, 4, 5, 5, 4, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 5, 8, 8, 7, 8, 8, 7, 3, 3, 7, 6, 6, 9, 8, 9, 9, 8, 9, 8, 4, 4, 5, 9, 8, 9, 8, 6, 6, 8, 7, 8, 8, 5, 5, 5, 10, 11, 10, 10, 9, 12, 11, 12, 12, 12, 11, 12, 11, 5, 5, 6, 10, 9, 10, 9, 7, 7, 9, 8, 9, 9, 6, 6, 6, 11, 12, 11, 11, 10, 13, 12, 13, 13, 13, 12, 13, 12, 5, 5, 6, 6, 6, 11, 12, 11, 11, 10, 13, 12, 13, 13, 12, 13, 12, 2, 2, 4, 4, 6, 7, 7, 6, 0, 3, 2, 2, 3, 0, 3, 2, 2, 4, 3, 3, 5, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 4, 4, 7, 6, 7, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 3, 5, 4, 4, 3, 3, 3, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 0, 3, 2, 2, 4, 4, 3, 5, 3, 0, 1, 1, 1, 1, 3, 4, 4, 3, 1, 1, 4, 4, 5, 2, 2, 5, 6, 6, 5, 7, 7, 9, 8, 8, 7, 2, 2, 5, 4, 4, 6, 7, 7, 7, 6, 8, 7, 7 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 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, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 16, 16, 0, 1, 1, 2, 16, 16, 16, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 20, 20, 20, 20, 1, 0, 0, 0, 2, 2, 1, 20, 20, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 23, 23, 1, 1, 1, 23, 23, 23, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 4, 4, 4, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 5, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 26, 26, 1, 1, 1, 1, 1, 1, 1, 1, 1, 26, 26, 26, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 28, 28, 28, 28, 1, 1, 1, 1, 28, 28, 0, 0, 2, 5, 5, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1 ]
[ 465, 2322, 203, 1070, 26015, 32, 31982, 362, 930, 32, 2846, 1188, 8361, 81, 1338, 203, 1070, 26015, 32, 31982, 362, 930, 32, 27032, 1188, 13196, 1356, 81, 1338, 203, 1070, 31074, 1188, 319, 203, 505, 464, 505, 280, 428, 284, 330, 44651, 81, 1809, 370, 330, 2846, 81, 1809, 370, 284, 330, 2846, 81, 1338, 370, 330, 27032, 81, 1338, 370, 203, 79, 203, 5807, 81, 13217, 8703, 81, 45125, 8803, 280, 428, 284, 2322, 32, 983, 32, 8931, 496, 440, 11746, 5876, 33, 20478, 2113, 284, 2430, 5876, 33, 20478, 392, 284, 2430, 4711, 33, 5876, 33, 20478, 392, 284, 2430, 1598, 33, 5876, 33, 20478, 392, 203, 79, 203, 5807, 81, 20017, 81, 45125, 8803, 280, 428, 284, 2322, 32, 983, 32, 8931, 496, 440, 11746, 1356, 2113, 284, 2430, 3381, 33, 1696, 33, 1356, 392, 284, 2430, 1356, 392, 284, 2430, 3381, 33, 1356, 392, 203, 79, 203, 589, 13196, 1381, 81, 2121, 26, 2121, 30, 773, 711, 284, 415, 4533, 438, 1665, 44, 291, 4533, 280, 2322, 32, 12757, 284, 42445, 280, 4533, 32, 371, 26, 869, 27, 284, 415, 42445, 438, 1665, 44, 291, 442, 1605, 284, 442, 42445, 32, 2998, 16487, 683, 203, 589, 13196, 1381, 81, 893, 81, 12420, 26, 2121, 47, 2521, 711, 284, 415, 4533, 438, 1665, 44, 291, 4533, 280, 2322, 32, 12757, 284, 442, 4533, 32, 371, 463, 9709, 7118, 81, 10393, 81, 28056, 683, 203, 589, 13196, 1381, 81, 2846, 81, 983, 26, 2121, 47, 2521, 711, 284, 442, 13196, 1381, 81, 2121, 26, 2121, 30, 330, 9709, 7118, 81, 13217, 8703, 81, 4065, 683, 203, 589, 13196, 1381, 81, 5248, 81, 983, 26, 2121, 47, 2521, 711, 284, 442, 13196, 1381, 81, 2121, 26, 2121, 30, 330, 9709, 7118, 81, 20017, 81, 4065, 683, 203, 589, 13196, 1381, 81, 24034, 81, 2846, 81, 983, 26, 2121, 47, 2521, 711, 284, 442, 13196, 1381, 81, 2121, 26, 2121, 30, 330, 9709, 7118, 81, 45125, 8803, 81, 13217, 8703, 81, 4065, 683, 203, 589, 13196, 1381, 81, 24034, 81, 5248, 81, 983, 26, 2121, 47, 2521, 711, 284, 442, 13196, 1381, 81, 2121, 26, 2121, 30, 330, 9709, 7118, 81, 45125, 8803, 81, 20017, 81, 4065, 683, 203, 589, 13196, 1381, 81, 893, 81, 12420, 81, 1903, 26, 5162, 30, 4533, 47, 2521, 711, 284, 12809, 280, 13196, 1381, 81, 893, 81, 12420, 26, 2121, 27, 284, 415, 12809, 438, 1665, 44, 291, 442, 10032, 284, 665, 617, 10281, 26, 5162, 47, 5162, 30, 12809, 47, 12420, 711, 291, 436, 1519, 328, 10032, 44, 324, 415, 1519, 32, 20643, 3949, 27032, 7831, 400, 6761, 1519, 20129, 1657, 3949, 27032, 12357, 474, 12809, 474, 5608, 27032, 25, 324, 813, 44, 400, 6761, 1519, 474, 12809, 324, 6761, 1519, 284, 442, 617, 10281, 346, 203, 589, 13196, 1381, 81, 7106, 81, 1903, 26, 426, 30, 4533, 47, 2521, 711, 284, 8361, 280, 8361, 81, 1338, 26, 426, 27, 284, 415, 8361, 438, 646, 1665, 44, 291, 436, 1519, 328, 13196, 1381, 81, 2846, 81, 983, 26, 2121, 711, 324, 6761, 2322, 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, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 7, 5, 6, 6, 5, 7, 7, 7, 7, 7, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 7, 5, 6, 6, 5, 7, 7, 7, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 7, 8, 2, 2, 4, 4, 6, 7, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 2, 2, 3, 5, 6, 5, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 7, 8, 2, 2, 3, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 5, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 5, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 5, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 5, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 2, 2, 3, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 7, 9, 10, 9, 11, 11, 7, 7, 10, 13, 17, 17, 19, 19, 12, 12, 11, 11, 13, 13, 7, 7, 8, 8, 8, 11, 12, 12, 6, 6, 8, 2, 2, 3, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 5, 5, 5, 7, 7, 7, 7, 7, 7, 8, 7, 5, 5, 8, 11 ]
[ 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 4, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 4, 4, 3, 0, 2, 1, 2, 0, 8, 8, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 9, 9, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 11, 11, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 12, 12, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 13, 13, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 4, 4, 2, 1, 2, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 1, 1, 5, 5, 0, 4, 4, 3, 0, 1, 0, 14, 14, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 14, 14, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0 ]
[ 1070, 43008, 1188, 34777, 81, 3592, 203, 1070, 43008, 32, 35312, 1188, 3772, 1572, 30, 3772, 5392, 203, 465, 4134, 203, 823, 17988, 44, 284, 665, 296, 26, 784, 711, 291, 1459, 463, 9619, 3823, 17988, 32, 88, 346, 683, 284, 665, 485, 26, 784, 711, 291, 1459, 463, 9619, 3823, 17988, 32, 89, 346, 683, 284, 665, 617, 90, 26, 784, 711, 291, 1459, 463, 9619, 3823, 17988, 1114, 90, 346, 683, 203, 589, 29115, 2262, 284, 436, 595, 328, 2155, 26, 35, 34, 711, 291, 6761, 595, 28, 91, 203, 823, 15386, 5392, 26, 1761, 5392, 711, 284, 617, 327, 6855, 81, 280, 2107, 505, 1978, 505, 785, 284, 665, 1156, 1731, 3207, 784, 711, 291, 442, 630, 284, 665, 1156, 1978, 3207, 784, 711, 291, 442, 630, 1114, 1851, 1959, 463, 505, 1978, 505, 683, 203, 589, 622, 81, 2989, 81, 1647, 2262, 284, 442, 4134, 203, 823, 4300, 1572, 26, 1761, 1572, 711, 284, 3097, 203, 3758, 1572, 32, 3317, 463, 13611, 35, 370, 17988, 27, 203, 3758, 1572, 32, 3317, 463, 13611, 36, 370, 17988, 30, 23447, 37346, 89, 370, 7610, 90, 2847, 203, 3758, 1572, 32, 3317, 463, 12448, 370, 29115, 30, 7664, 681, 47, 4815, 5392, 27, 203, 3758, 1572, 32, 3317, 463, 2989, 370, 622, 81, 2989, 81, 1647, 27, 203, 589, 894, 2262, 284, 7884, 280, 4300, 1572, 346, 284, 7884, 32, 1366, 346, 284, 1459, 12605, 25, 319, 225, 36, 34, 27, 284, 296, 35, 280, 7884, 32, 13611, 35, 346, 284, 296, 35, 32, 88, 346, 284, 296, 35, 32, 89, 346, 284, 1201, 646, 19326, 26, 88, 35, 30, 7610, 90, 683, 284, 1201, 8594, 26, 88, 35, 1114, 327, 6855, 7912, 610, 8594, 4901, 88, 370, 330, 89, 3490, 284, 1459, 12605, 25, 319, 225, 36, 34, 27, 284, 296, 36, 280, 7884, 32, 13611, 36, 346, 284, 296, 36, 32, 89, 346, 284, 296, 36, 1114, 90, 346, 284, 1201, 646, 19326, 26, 88, 36, 30, 330, 88, 683, 284, 1201, 8594, 26, 88, 36, 1114, 327, 6855, 7912, 610, 8594, 4901, 89, 370, 7610, 90, 3490, 284, 1459, 12605, 25, 319, 225, 36, 34, 27, 284, 561, 280, 7884, 32, 12448, 346, 284, 436, 595, 328, 561, 44, 291, 1459, 10385, 23, 86, 6457, 904, 595, 30, 943, 1057, 11134, 284, 1459, 346, 284, 1459, 12605, 25, 319, 225, 36, 34, 27, 284, 3089, 280, 7884, 32, 2989, 346, 284, 1459, 463, 520, 32, 669, 26, 36, 37, 30, 225, 38, 39, 27, 280, 370, 3089, 32, 669, 26, 36, 37, 30, 225, 38, 39, 490, 284, 1459, 463, 520, 32, 7527, 26, 36, 30, 225, 43, 38, 27, 280, 370, 3089, 32, 7527, 26, 36, 30, 225, 43, 38, 490, 284, 1459, 463, 520, 1114, 327, 6855, 81, 280, 370, 3089, 1114, 327, 6855, 7912, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 34777, 81, 3592, 346, 284, 894, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 3, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 1, 1, 3, 3, 3, 5, 6, 6, 5, 3, 3, 6, 7, 8, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 4, 4, 3, 4, 3, 5, 5, 5, 3, 3, 0, 4, 4, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 7, 7, 5, 7, 7, 0, 4, 4, 3, 4, 3, 5, 5, 3, 3, 3, 5, 4, 5, 5, 3, 0, 4, 4, 3, 4, 3, 5, 5, 3, 4, 4, 4, 4, 3, 0, 1, 1, 2, 1, 1, 4, 4, 6, 6, 2, 2, 5, 6, 5, 2, 2, 5, 8, 6, 6, 7, 7, 5, 2, 2, 5, 4, 4, 6, 7, 7, 6, 2, 2, 6, 5, 6, 5, 2, 2, 6, 5, 6, 5, 2, 2, 3, 4, 6, 7, 7, 6, 6, 8, 8, 2, 2, 3, 6, 8, 8, 7, 8, 8, 8, 4, 4, 6, 9, 9, 7, 9, 9, 2, 2, 5, 8, 6, 6, 7, 7, 5, 2, 2, 5, 4, 4, 6, 7, 7, 6, 2, 2, 6, 5, 6, 5, 2, 2, 6, 5, 6, 5, 2, 2, 3, 4, 6, 7, 7, 6, 6, 8, 8, 2, 2, 3, 6, 8, 8, 7, 8, 8, 8, 4, 4, 6, 9, 9, 7, 9, 9, 2, 2, 5, 8, 6, 6, 7, 7, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 3, 3, 3, 3, 3, 7, 10, 10, 10, 8, 8, 7, 7, 8, 10, 2, 2, 5, 2, 2, 5, 8, 6, 6, 7, 7, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 8, 7, 8, 8, 7, 7, 8, 8, 7, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 8, 7, 8, 7, 7, 8, 8, 7, 2, 2, 5, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 7, 7, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 2, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 3, 3, 3, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 1, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 1, 1, 2, 7, 7, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 5, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 5, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 0, 12, 12, 2, 12, 12, 0, 0, 0, 1, 4, 4, 0, 2, 1, 4, 4, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 7, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 12, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 13, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 16, 16, 16, 16, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 1, 4, 4, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 0, 13, 13, 0, 0, 1, 1, 1, 1, 13, 13, 0, 0, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 1070, 281, 46593, 1180, 1188, 2267, 3789, 2518, 203, 1070, 281, 46593, 1180, 1188, 281, 4073, 203, 1070, 281, 46593, 1180, 1188, 8745, 203, 1070, 281, 46593, 1180, 32, 85, 11452, 1188, 28785, 203, 10115, 22368, 1392, 81, 2930, 280, 225, 35, 203, 61, 12290, 7383, 81, 2930, 280, 225, 36, 203, 823, 7984, 21366, 1572, 44, 284, 665, 1156, 1664, 3207, 784, 30, 4491, 81, 16397, 30, 4082, 47, 2521, 711, 291, 630, 32, 4170, 81, 16397, 280, 4491, 81, 16397, 291, 630, 32, 24591, 81, 1439, 81, 1515, 280, 630, 32, 4170, 81, 16397, 32, 3550, 922, 2837, 3789, 81, 24591, 81, 1515, 291, 630, 32, 8881, 81, 1439, 81, 1515, 280, 630, 32, 4170, 81, 16397, 32, 3550, 922, 2837, 3789, 81, 8881, 81, 1515, 291, 630, 32, 2837, 3789, 2518, 280, 2267, 3789, 2518, 32, 4741, 21366, 5142, 26, 784, 32, 4170, 81, 16397, 27, 291, 415, 4082, 438, 1665, 44, 324, 4082, 280, 281, 4073, 32, 3703, 346, 291, 630, 32, 4073, 280, 4082, 284, 665, 6042, 81, 2837, 3789, 81, 2387, 81, 761, 81, 983, 26, 784, 30, 2267, 3789, 30, 436, 81, 1094, 47, 1815, 30, 537, 81, 2837, 3789, 47, 2700, 711, 291, 415, 646, 6937, 26, 2837, 3789, 30, 1695, 800, 711, 324, 3636, 28785, 440, 3817, 1509, 30, 2267, 3789, 2298, 526, 312, 802, 657, 291, 813, 44, 324, 2267, 3789, 280, 2267, 3789, 32, 7201, 346, 291, 415, 2267, 3789, 610, 34863, 324, 442, 2267, 3789, 291, 415, 436, 81, 1094, 438, 2933, 44, 324, 415, 2267, 3789, 610, 24417, 6815, 2005, 563, 400, 442, 2267, 3789, 291, 415, 2267, 3789, 32, 1809, 440, 497, 657, 863, 429, 35, 44, 324, 3636, 28785, 440, 3817, 5803, 11122, 3079, 803, 3894, 904, 101, 30, 561, 2298, 646, 4799, 4377, 20, 904, 2267, 3789, 27, 291, 2267, 3789, 81, 983, 280, 5461, 101, 9708, 101, 20, 904, 308, 784, 32, 8881, 81, 1439, 81, 1515, 30, 2267, 3789, 27, 291, 415, 646, 2322, 32, 983, 32, 29712, 26, 2837, 3789, 81, 983, 27, 461, 646, 537, 81, 2837, 3789, 44, 324, 3636, 28785, 440, 3817, 5803, 11122, 3079, 803, 3894, 904, 101, 30, 803, 646, 2431, 20, 904, 2267, 3789, 81, 983, 27, 291, 442, 2267, 3789, 284, 665, 622, 81, 2837, 3789, 81, 8881, 26, 784, 711, 291, 2276, 280, 1605, 291, 436, 3051, 30, 4921, 4243, 30, 26719, 328, 2322, 32, 11905, 26, 784, 32, 8881, 81, 1439, 81, 1515, 711, 324, 436, 4870, 328, 26719, 44, 400, 1875, 81, 2388, 280, 3051, 77, 1657, 26, 784, 32, 8881, 81, 1439, 81, 1515, 27, 474, 225, 35, 10056, 400, 415, 1875, 81, 2388, 44, 528, 1875, 81, 983, 280, 5461, 101, 9708, 101, 20, 904, 308, 2808, 81, 2388, 30, 4870, 27, 400, 813, 44, 528, 1875, 81, 983, 280, 4870, 400, 2276, 32, 1689, 26, 2808, 81, 983, 27, 291, 2276, 32, 3323, 346, 291, 442, 2276, 284, 665, 1491, 81, 2837, 3789, 81, 2387, 26, 784, 30, 803, 81, 983, 711, 291, 803, 81, 983, 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, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 10, 11, 11, 11, 9, 10, 9, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 10, 11, 11, 11, 9, 10, 9, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 11, 10, 11, 10, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 5, 6, 8, 9, 9, 8, 8, 9, 8, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 6, 6, 6, 10, 9, 9, 12, 11, 12, 11, 4, 4, 5, 7, 6, 6, 5, 5, 7, 8, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 7, 9, 8, 8, 10, 10, 10, 7, 7, 9, 10, 4, 4, 5, 9, 8, 9, 8, 10, 10, 6, 6, 8, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 9, 4, 4, 7, 7, 7, 6, 6, 9, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 10, 10, 8, 8, 9, 8, 4, 4, 5, 7, 10, 11, 9, 10, 9, 10, 10, 10, 10, 9, 6, 6, 7, 8, 8, 8, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 11, 9, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 7, 6, 6, 5, 5, 7, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 5, 5, 7, 7, 7, 7, 7, 7, 11, 11, 10, 10, 11, 15, 15, 17, 16, 17, 17, 17, 17, 17, 15, 13, 13, 14, 12, 8, 8, 9, 10, 10, 9, 9, 9, 13, 13, 12, 12, 15, 15, 15, 15, 13, 13, 15, 15, 15, 14, 14, 14, 9, 9, 10, 10, 10, 14, 14, 13, 13, 8, 8, 11, 12, 11, 12, 12, 12, 11, 4, 4, 7, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 6 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 7, 7, 1, 1, 7, 7, 7, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 0, 7, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 0, 1, 1, 1, 1, 0, 1, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 4, 4, 3, 0, 0, 2, 1, 1, 2, 1, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 4, 4, 5, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 4, 4, 6, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 5, 5, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 0 ]
[ 465, 49093, 203, 465, 5237, 203, 465, 3738, 203, 465, 7744, 203, 465, 15798, 203, 1070, 1933, 1188, 28667, 203, 1070, 894, 1188, 2193, 203, 823, 48282, 1006, 26, 18986, 32, 7233, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 15798, 32, 7233, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 27, 291, 630, 32, 1771, 4156, 280, 301, 324, 330, 669, 950, 21645, 324, 330, 1113, 950, 34848, 324, 330, 8829, 950, 33155, 324, 330, 507, 950, 26610, 324, 330, 507, 1803, 950, 330, 507, 1803, 370, 324, 330, 7527, 950, 330, 326, 370, 324, 330, 94, 5494, 950, 330, 3571, 370, 324, 330, 100, 5494, 950, 330, 2005, 370, 324, 330, 363, 950, 15441, 370, 324, 330, 17316, 950, 25366, 370, 324, 330, 271, 950, 330, 18194, 324, 330, 4923, 950, 330, 4923, 370, 324, 330, 2159, 950, 44091, 324, 330, 274, 950, 4145, 12483, 324, 330, 3685, 950, 330, 379, 370, 324, 330, 941, 950, 330, 6901, 370, 324, 330, 1837, 950, 48401, 324, 330, 300, 950, 46820, 370, 291, 320, 291, 436, 636, 30, 9810, 328, 1149, 26, 784, 32, 1771, 4156, 32, 3028, 22805, 324, 415, 9810, 32, 297, 5729, 2262, 400, 9810, 280, 9810, 474, 11608, 83, 30, 323, 4731, 324, 813, 44, 400, 9810, 280, 330, 83, 904, 101, 323, 25, 904, 9810, 324, 630, 32, 1771, 4156, 77, 426, 79, 280, 9810, 291, 630, 32, 311, 4156, 280, 301, 324, 330, 966, 950, 21645, 324, 330, 8095, 950, 34848, 324, 330, 3596, 950, 330, 3596, 370, 324, 330, 22218, 950, 28948, 370, 324, 330, 410, 950, 330, 410, 370, 324, 330, 1808, 950, 330, 1808, 370, 324, 330, 13193, 950, 330, 13193, 370, 324, 330, 6949, 950, 330, 6949, 370, 291, 320, 291, 436, 636, 30, 9810, 328, 1149, 26, 784, 32, 311, 4156, 32, 3028, 22805, 324, 415, 9810, 32, 297, 5729, 2262, 400, 9810, 280, 9810, 474, 11608, 83, 4731, 324, 813, 44, 400, 9810, 280, 6611, 101, 312, 25, 904, 9810, 324, 630, 32, 311, 4156, 77, 426, 79, 280, 9810, 284, 665, 707, 520, 81, 858, 26, 784, 30, 312, 30, 736, 30, 9810, 347, 1657, 26, 83, 5715, 41884, 347, 505, 1657, 505, 10280, 291, 343, 280, 5053, 83, 950, 312, 111, 291, 630, 32, 5299, 26, 6569, 26, 3385, 30, 343, 471, 736, 27, 291, 273, 280, 827, 26, 83, 27, 291, 345, 280, 18623, 26, 102, 30, 41884, 27, 291, 2218, 41884, 646, 328, 273, 3667, 2665, 26927, 324, 273, 280, 273, 3667, 29915, 505, 77, 34, 79, 291, 630, 32, 5299, 26, 32110, 26, 95, 30, 330, 449, 81, 1298, 370, 345, 471, 273, 3667, 2665, 505, 77, 17849, 1130, 291, 630, 32, 5299, 26, 95, 26, 83, 471, 736, 27, 291, 32109, 280, 18623, 26, 83, 30, 41884, 27, 291, 630, 32, 5299, 26, 12318, 1026, 736, 27, 284, 665, 7395, 520, 81, 858, 26, 784, 30, 312, 30, 323, 30, 736, 30, 9810, 347, 83, 29, 84, 392, 41884, 347, 505, 669, 505, 10280, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 6, 6, 7, 7, 10, 10, 8, 7, 7, 10, 10, 8, 7, 7, 10, 10, 8, 7, 7, 10, 10, 8, 7, 7, 10, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 10, 7, 7, 10, 10, 8, 10, 7, 7, 10, 10, 8, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 7, 7, 10, 10, 8, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 7, 7, 10, 10, 8, 10, 7, 7, 4, 4, 5, 6, 6, 5, 5, 7, 11, 10, 11, 11, 9, 10, 9, 5, 5, 7, 9, 10, 10, 9, 7, 7, 10, 10, 11, 11, 13, 13, 13, 13, 7, 7, 8, 8, 8, 11, 11, 14, 14, 14, 14, 14, 12, 12, 6, 6, 10, 11, 11, 9, 10, 9, 8, 8, 4, 4, 7, 8, 8, 6, 6, 7, 7, 10, 10, 8, 7, 7, 10, 10, 8, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 4, 4, 5, 6, 6, 5, 5, 7, 11, 10, 11, 11, 9, 10, 9, 5, 5, 7, 9, 10, 10, 9, 7, 7, 10, 10, 11, 11, 13, 13, 7, 7, 8, 8, 8, 11, 11, 14, 14, 14, 12, 12, 6, 6, 10, 11, 11, 9, 10, 9, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 7, 7, 7, 7, 4, 5, 7, 7, 7, 7, 3, 3, 6, 6, 10, 10, 8, 7, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 9, 7, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 8, 8, 4, 4, 5, 6, 6, 6, 7, 8, 8, 5, 5, 8, 8, 10, 11, 11, 9, 10, 9, 4, 4, 7, 8, 7, 9, 9, 10, 9, 9, 11, 11, 11, 11, 9, 9, 7, 9, 10, 10, 8, 9, 8, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 7, 4, 4, 6, 6, 8, 9, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 7, 7, 7, 4, 5, 7, 7, 7, 7, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 0, 1, 2, 2, 7, 7, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 2, 2, 1, 2, 7, 2, 2, 1, 1, 2, 9, 1, 1, 2, 2, 2, 1, 2, 11, 1, 2, 2, 2, 1, 1, 2, 13, 1, 2, 2, 2, 1, 1, 2, 15, 1, 2, 2, 2, 1, 2, 17, 2, 2, 2, 1, 2, 19, 2, 2, 2, 1, 2, 21, 1, 2, 2, 1, 2, 23, 1, 2, 2, 2, 1, 2, 25, 2, 2, 1, 2, 27, 1, 2, 2, 1, 2, 29, 1, 2, 2, 2, 1, 2, 31, 1, 2, 2, 2, 1, 2, 33, 2, 2, 1, 2, 35, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 1, 1, 1, 1, 2, 2, 2, 5, 5, 0, 2, 2, 0, 2, 0, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 1, 2, 2, 2, 1, 2, 11, 1, 2, 2, 2, 1, 2, 13, 1, 2, 2, 2, 1, 2, 15, 1, 2, 2, 2, 4, 4, 4, 1, 1, 4, 4, 1, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 4, 4, 4, 0, 0, 1, 1, 2, 2, 2, 5, 5, 0, 2, 2, 0, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 1, 1, 1, 1, 2, 9, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 3, 2, 3, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 1, 1, 1, 2, 2, 11, 1, 1, 1, 2, 2 ]
[ 465, 2322, 203, 465, 12643, 619, 6121, 203, 465, 831, 557, 100, 203, 465, 3947, 27554, 81, 605, 619, 831, 86, 203, 589, 622, 81, 9028, 26, 314, 30, 1224, 2743, 68, 81, 3197, 3784, 3699, 33, 100, 860, 742, 352, 4724, 93, 557, 100, 33, 605, 33, 2429, 1537, 4954, 10280, 284, 45716, 280, 596, 26, 410, 26, 314, 3427, 108, 4157, 26, 43, 27, 284, 1519, 280, 2322, 32, 983, 32, 2524, 26, 61, 2743, 68, 81, 3197, 30, 19436, 2296, 1643, 26, 35945, 490, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 983, 711, 291, 2043, 280, 831, 557, 100, 32, 2554, 346, 291, 12887, 280, 2043, 32, 6443, 26, 35945, 27, 291, 1459, 440, 33829, 27606, 21850, 291, 12887, 32, 371, 81, 2429, 81, 1537, 4954, 26, 5140, 47, 1815, 30, 4504, 81, 19355, 942, 47, 2700, 27, 291, 816, 30, 533, 30, 533, 530, 280, 831, 86, 32, 944, 81, 479, 27554, 81, 605, 26, 500, 32, 983, 32, 2524, 26, 61, 2743, 68, 81, 3197, 30, 20079, 19436, 2296, 1643, 26, 35945, 2610, 284, 813, 44, 291, 816, 30, 533, 30, 533, 530, 280, 831, 86, 32, 944, 81, 479, 27554, 81, 605, 26, 500, 32, 983, 32, 2524, 26, 61, 2743, 68, 81, 3197, 30, 20079, 19436, 2296, 1643, 26, 35945, 2610, 284, 816, 5912, 816, 77, 34, 79, 284, 442, 816, 30, 533, 30, 533, 530, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 9591, 81, 3197, 280, 2430, 3699, 33, 100, 860, 742, 352, 33, 7297, 33, 31110, 14026, 33, 31110, 14026, 33, 605, 20, 284, 706, 280, 6121, 32, 850, 81, 4700, 26, 500, 32, 983, 32, 2524, 26, 4601, 81, 3197, 30, 313, 93, 295, 81, 14647, 302, 32, 4700, 2131, 284, 345, 280, 308, 605, 32, 519, 486, 32, 2810, 333, 225, 40, 36, 39, 34, 27, 319, 308, 38, 333, 706, 32, 751, 89, 32, 2810, 27, 284, 706, 280, 706, 32, 20551, 77, 95, 79, 284, 436, 595, 30, 831, 295, 328, 10703, 26, 605, 32, 479, 6320, 32, 2810, 77, 36, 41, 39, 44, 38, 34, 34, 10794, 291, 1459, 26, 93, 295, 30, 595, 30, 313, 1028, 392, 2069, 26, 605, 32, 479, 6320, 32, 2810, 77, 36, 41, 39, 44, 38, 34, 34, 5259, 291, 816, 30, 533, 30, 533, 530, 280, 622, 81, 9028, 26, 93, 295, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 4, 4, 8, 10, 10, 11, 10, 7, 7, 6, 7, 6, 2, 2, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 6, 6, 10, 9, 8, 9, 8, 2, 2, 3, 4, 7, 8, 6, 7, 6, 7, 6, 3, 3, 6, 6, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 8, 8, 7, 9, 8, 9, 7, 7, 9, 9, 9, 8, 9, 7, 4, 4, 7, 7, 7, 7, 8, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 11, 11, 11, 10, 10, 10, 14, 13, 12, 13, 12, 3, 3, 4, 4, 4, 8, 8, 8, 8, 9, 7, 7, 10, 9, 10, 10, 10, 10, 10, 10, 9, 13, 12, 13, 11, 12, 11, 12, 12, 12, 12, 12, 11, 11, 11, 15, 14, 13, 14, 13, 2, 2, 4, 4, 5, 6, 5, 2, 2, 3, 4, 4, 4, 4, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 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, 6, 7, 7, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 4, 4, 10, 9, 10, 10, 8, 9, 7, 7, 8, 8, 8, 8, 6, 5, 5, 8, 7, 7, 9, 10, 10, 8, 9, 6, 2, 2, 4, 4, 6, 7, 5, 6, 5, 2, 2, 3, 4, 4, 5, 3, 3, 5, 9, 8, 9, 9, 7, 8, 6, 8, 8, 8, 7, 8, 8, 8, 6, 3, 3, 7, 8, 8, 7, 7, 7, 7, 9, 9, 7, 9, 13, 12, 13, 13, 11, 12, 10, 12, 12, 12, 11, 12, 12, 12, 10, 4, 4, 7, 7, 7, 7, 8, 6, 6, 8, 8, 8, 9, 9, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 1, 1, 2, 0, 4, 4, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 3, 2, 1, 3, 3, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 4, 1, 1, 1, 1, 4, 0, 5, 5, 0, 0, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 3, 3, 4, 1, 1, 2, 4, 4, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 1216, 4064, 1427, 8223, 203, 465, 1133, 203, 465, 6436, 619, 2065, 203, 1070, 13134, 32, 15183, 32, 7088, 81, 7101, 1188, 1930, 81, 33948, 203, 1070, 13134, 32, 24575, 1188, 498, 2514, 26844, 203, 1070, 13134, 32, 24575, 1188, 8026, 13790, 31989, 203, 465, 12500, 32, 17449, 619, 5743, 203, 96, 81, 7088, 81, 887, 280, 629, 26, 35, 87, 37, 27, 203, 96, 81, 7088, 81, 1449, 280, 629, 26, 35, 87, 39, 27, 203, 96, 81, 5905, 280, 225, 35, 34, 34, 203, 96, 81, 40868, 280, 225, 35, 34, 34, 203, 96, 81, 17439, 280, 225, 35, 34, 34, 203, 96, 81, 7439, 280, 225, 40, 203, 96, 81, 1731, 280, 225, 39, 203, 96, 81, 7088, 81, 2810, 280, 2065, 32, 751, 1166, 26, 2356, 32, 751, 35, 34, 26, 96, 81, 7088, 81, 887, 471, 7686, 2065, 32, 751, 35, 34, 26, 96, 81, 7088, 81, 1449, 471, 7686, 310, 81, 7439, 547, 15315, 26, 2356, 32, 410, 27, 203, 19050, 280, 2065, 32, 3855, 32, 6096, 1078, 26, 38, 36, 27, 203, 464, 81, 605, 30, 617, 280, 1930, 81, 33948, 26, 96, 81, 7088, 47, 96, 81, 7088, 81, 1449, 474, 310, 81, 17439, 30, 656, 310, 81, 5905, 47, 96, 81, 5905, 30, 40962, 47, 96, 81, 40868, 30, 20564, 47, 1815, 30, 656, 3995, 81, 1293, 47, 34, 27, 203, 17439, 280, 1169, 81, 605, 2867, 96, 81, 17439, 79, 203, 1055, 81, 605, 280, 1169, 81, 605, 77, 96, 81, 17439, 10056, 203, 14298, 81, 5571, 81, 16925, 280, 1605, 203, 14298, 81, 5571, 81, 20449, 280, 1605, 203, 1530, 81, 5571, 81, 20449, 280, 1605, 203, 14446, 329, 732, 280, 1605, 203, 1530, 81, 14446, 329, 732, 280, 1605, 203, 14298, 81, 7670, 9016, 280, 1605, 203, 1530, 81, 7670, 9016, 280, 1605, 203, 979, 310, 81, 7088, 328, 310, 81, 7088, 81, 2810, 44, 284, 1593, 280, 1650, 81, 605, 2867, 96, 81, 7088, 79, 284, 456, 615, 88, 280, 498, 2514, 26844, 26, 96, 81, 37491, 47, 36, 34, 30, 310, 81, 26257, 47, 36, 34, 34, 30, 3486, 310, 81, 24575, 47, 35, 34, 547, 4698, 26, 74, 27, 284, 310, 839, 101, 280, 8026, 13790, 31989, 26, 12124, 1057, 839, 1142, 370, 10021, 1057, 4952, 482, 370, 1014, 310, 81, 24575, 47, 35, 34, 547, 4698, 26, 74, 27, 284, 1133, 81, 20449, 280, 1605, 284, 1133, 81, 16925, 280, 1605, 284, 14222, 280, 1605, 284, 436, 595, 328, 2155, 26, 96, 81, 1731, 711, 291, 2467, 280, 11792, 77, 19050, 32, 21378, 26, 34, 30, 310, 81, 17439, 2177, 291, 273, 34, 280, 1133, 32, 1003, 346, 291, 7153, 81, 24575, 280, 310, 839, 101, 32, 93, 24575, 26, 1217, 30, 442, 81, 8018, 47, 2700, 27, 291, 1133, 81, 16925, 32, 1689, 26, 1003, 32, 1003, 346, 429, 273, 34, 27, 291, 273, 34, 280, 1133, 32, 1003, 346, 291, 16756, 81, 24575, 280, 456, 615, 88, 32, 93, 24575, 26, 1217, 30, 442, 81, 8018, 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, 0, 3, 3, 4, 4, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 4, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 6, 7, 7, 6, 9, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 6, 6, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 6, 6, 7, 7, 6, 5, 4, 6, 5, 6, 4, 0, 3, 2, 2, 5, 6, 4, 5, 5, 4, 5, 5, 4, 0, 4, 4, 4, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 5, 7, 7, 7, 7, 7, 6, 6, 7, 7, 4, 4, 4, 6, 6, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 0, 3, 2, 2, 4, 4, 3, 5, 5, 5, 3, 0, 3, 3, 3, 2, 2, 4, 4, 3, 5, 5, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 4, 6, 6, 5, 7, 7, 7, 5, 2, 2, 5, 5, 4, 4, 8, 8, 8, 10, 10, 10, 9, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 8, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 8, 8, 8, 10, 9, 11, 11, 11, 8, 9, 11, 11, 11, 8, 8, 10, 10, 9, 10, 10, 8, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 3, 3, 3, 5, 6, 6, 6, 5, 3, 3, 6, 6, 7, 10, 9, 10, 9, 10, 9, 9, 10, 10, 9, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 9, 8, 8, 10, 10, 9, 10, 8, 4, 4, 8, 8, 7, 8, 7, 11, 10, 11, 10, 8, 8, 9, 7, 4, 4, 7, 6, 6, 8, 9, 8, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 9, 8, 9, 8, 8, 10, 10, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 2, 2, 1, 1, 7, 2, 1, 1, 1, 0, 0, 9, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 27, 1, 1, 27, 27, 3, 3, 3, 3, 27, 27, 27, 0, 0, 0, 0, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 1, 0, 0, 5, 2, 2, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 1, 0, 0, 5, 2, 2, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 6, 6, 6, 1, 1, 1, 1, 1, 6, 6, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 5, 5, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 3 ]
[ 465, 4942, 32, 4151, 32, 1160, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 465, 11171, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 2726, 16914, 370, 330, 34, 34, 35, 39, 81, 2837, 81, 36, 34, 35, 43, 34, 43, 36, 37, 81, 35, 39, 36, 43, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 44563, 26, 324, 636, 1057, 2019, 3566, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 7595, 1176, 26, 1536, 47, 6572, 32, 6572, 38, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 3662, 400, 2726, 4524, 81, 1170, 370, 4549, 32, 16357, 26, 5006, 47, 1815, 30, 1769, 81, 1322, 47, 37, 36, 30, 744, 47, 1815, 30, 9541, 81, 426, 1057, 6873, 810, 13356, 400, 2726, 770, 81, 4524, 370, 4549, 32, 36172, 26, 2837, 81, 2174, 81, 669, 47, 1815, 30, 744, 47, 1815, 30, 9541, 81, 426, 1057, 1547, 3272, 13356, 400, 2726, 770, 81, 6368, 370, 4549, 32, 36172, 26, 2837, 81, 2174, 47, 1815, 30, 9541, 81, 426, 1057, 1547, 4459, 13356, 400, 2726, 426, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 37, 36, 30, 5799, 47, 1815, 30, 9541, 81, 426, 1057, 558, 13356, 400, 2726, 681, 370, 4549, 32, 16357, 26, 19833, 6020, 463, 1693, 370, 330, 1883, 1425, 2726, 1786, 370, 330, 2059, 1425, 2726, 307, 370, 330, 30823, 36977, 1244, 1057, 1786, 370, 1769, 81, 1322, 47, 35, 40, 30, 9541, 81, 426, 1057, 620, 13356, 400, 2726, 2859, 370, 4942, 32, 4151, 32, 1160, 32, 19392, 2526, 7167, 10215, 26, 1536, 1279, 1748, 471, 400, 2726, 3647, 370, 4549, 32, 10215, 26, 5006, 47, 1815, 30, 1244, 26409, 1769, 81, 1322, 47, 35, 36, 42, 30, 9541, 81, 426, 1057, 6315, 13356, 324, 2505, 324, 2075, 1279, 400, 330, 9436, 950, 3177, 30, 324, 801, 291, 2588, 291, 12522, 32, 44563, 26, 324, 636, 1057, 28069, 3566, 370, 324, 3829, 6020, 400, 2726, 314, 370, 4549, 32, 7595, 1176, 26, 1536, 47, 6572, 32, 6572, 38, 30, 7458, 81, 678, 47, 1815, 30, 12741, 47, 2700, 3662, 400, 2726, 4524, 81, 1170, 370, 4549, 32, 16357, 26, 5006, 47, 1815, 30, 1769, 81, 1322, 47, 37, 36, 30, 744, 47, 1815, 30, 9541, 81, 426, 1057, 6873, 810, 13356, 400, 2726, 770, 81, 4524, 370, 4549, 32, 36172, 26, 2837, 81, 2174, 81, 669, 47, 1815, 30, 744, 47, 1815, 30, 9541, 81, 426, 1057, 1547, 3272, 13356, 400, 2726, 770, 81, 6368, 370, 4549, 32, 36172, 26, 2837, 81, 2174, 47, 1815, 30, 9541, 81, 426, 1057, 1547, 4459, 13356, 400, 2726, 426, 370, 4549, 32, 16357, 26, 1449, 81, 1322, 47, 37, 36, 30, 5799, 47, 1815, 30, 9541, 81, 426, 1057, 558, 13356, 400, 2726, 681, 370, 4549, 32, 16357, 26, 19833, 6020, 463, 1693, 370, 330, 1883, 1425, 2726, 1786, 370, 330, 2059, 1425, 2726, 101, 37, 370, 330, 69, 37, 1425, 2726, 42928, 370, 330, 20864, 833, 1425, 2726, 14032, 370, 330, 25278, 1425, 2726, 13500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 13, 15, 14, 15, 15, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 14, 14, 13, 14, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 15, 17, 17, 15, 17, 17, 14, 17, 17, 15, 17, 17, 14, 17, 17, 15, 17, 17, 12, 13, 15, 15, 12, 14, 14, 13, 14, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 14, 15, 13, 14, 12, 13, 13, 13, 13, 12, 14, 13, 14, 10, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 13, 12, 14, 14, 13, 14, 14, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 7, 7, 8, 9, 9, 12, 12, 10, 9, 9, 9, 7, 7, 5, 5, 7, 8, 7, 7, 7, 8, 10, 10, 10, 7, 7, 8, 9, 9, 12, 12, 10, 12, 13, 13, 12, 14, 13, 15, 14, 15, 15, 12, 12, 14, 14, 13, 14, 12, 12, 13, 14, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 12, 12, 14, 14, 13, 14, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 14, 14, 13, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 12, 12, 14, 14, 13, 15, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 14, 14, 13, 14, 14, 12, 12, 13, 14, 12, 12, 14, 14, 13, 15, 15, 9, 9, 12, 12, 10, 12, 13, 12, 14, 13, 15, 17, 17, 15, 17, 17, 14, 17, 17, 15, 17, 17, 14, 17, 17, 17, 15, 17, 17, 17, 14, 17, 17, 15, 17, 17, 17, 14, 17, 17, 15, 17, 17, 14, 17 ]
[ 0, 0, 1, 2, 1, 4, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 2, 2, 2, 1, 2, 9, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 1, 2, 2, 2, 1, 2, 11, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 2, 5, 1, 2, 1, 3, 1, 2, 1, 0, 0, 5, 2, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 2, 13, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 13, 2, 2, 1, 2, 15, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 0, 0, 5, 2, 2, 2, 1, 1, 0, 0, 7, 1, 2, 2, 2, 1, 1, 5, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 1, 1, 5, 2, 1, 1, 0, 0, 7, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 2, 2, 2, 1, 2, 9, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 1, 2, 2, 2, 1, 2, 11, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 1, 2, 5, 1, 1, 2, 2, 1, 2, 7, 1, 1, 2, 2, 1, 2, 9, 1, 2, 2, 1 ]
[ 9592, 203, 3234, 44, 203, 2272, 438, 322, 4899, 436, 322, 25099, 26585, 34069, 308, 2695, 27, 7667, 372, 2288, 3749, 322, 5183, 432, 739, 31, 11765, 332, 203, 9592, 203, 1070, 8361, 32, 9277, 81, 9331, 32, 9277, 81, 15678, 1188, 3772, 1722, 203, 1070, 8361, 32, 1356, 32, 8304, 1188, 319, 203, 465, 1133, 203, 12210, 81, 21392, 280, 225, 36, 203, 823, 358, 6094, 2822, 41137, 26, 1761, 1722, 711, 284, 45172, 81, 2474, 280, 313, 101, 6094, 81, 833, 41137, 20, 284, 665, 1156, 1664, 3207, 784, 30, 739, 711, 291, 630, 32, 3317, 81, 266, 81, 2122, 81, 25102, 346, 291, 630, 32, 1163, 280, 630, 32, 371, 81, 2292, 440, 1163, 657, 291, 630, 32, 731, 81, 4531, 280, 630, 32, 371, 81, 2292, 440, 731, 81, 4531, 657, 291, 630, 32, 470, 280, 739, 284, 665, 4489, 26, 784, 30, 10460, 30, 11028, 1120, 711, 291, 5582, 280, 4247, 291, 415, 630, 32, 3573, 26, 3080, 711, 324, 630, 32, 470, 32, 2961, 1371, 7686, 330, 6754, 28602, 950, 630, 32, 1163, 32, 936, 6054, 463, 2961, 2695, 683, 7686, 1717, 330, 4678, 9770, 950, 1665, 7686, 1717, 330, 8112, 1868, 950, 10460, 710, 1296, 1675, 3199, 81, 14263, 81, 9544, 785, 7686, 1717, 330, 9770, 5658, 8112, 950, 10460, 710, 1296, 1675, 3199, 81, 12252, 69, 81, 37524, 81, 14263, 785, 7686, 1717, 330, 9770, 5658, 8112, 25789, 950, 10460, 710, 1296, 1675, 3199, 81, 12252, 69, 81, 37524, 81, 14263, 81, 852, 38920, 785, 7686, 801, 11028, 1120, 27, 324, 415, 10460, 710, 4964, 14139, 1392, 81, 19163, 81, 33380, 81, 39430, 81, 3197, 12132, 38042, 10460, 710, 4964, 14139, 1392, 81, 19163, 81, 33380, 81, 39430, 785, 280, 10460, 710, 4964, 14139, 1392, 81, 19163, 81, 33380, 81, 39430, 81, 3197, 785, 474, 13189, 474, 10460, 77, 528, 330, 4964, 14139, 1392, 81, 19163, 81, 33380, 81, 39430, 785, 324, 436, 10285, 328, 630, 32, 936, 2695, 18523, 26, 3080, 711, 400, 281, 1216, 440, 9514, 5798, 3261, 44, 313, 474, 10285, 27, 400, 5582, 1454, 630, 32, 470, 32, 2529, 3206, 26, 3206, 30, 10460, 30, 8091, 47, 2700, 27, 400, 281, 1216, 440, 15160, 299, 313, 474, 596, 26, 12210, 81, 21392, 27, 474, 313, 6791, 497, 657, 400, 1133, 32, 7840, 26, 410, 26, 12210, 81, 21392, 490, 324, 630, 32, 470, 32, 4173, 26, 4152, 1120, 27, 291, 442, 5582, 284, 665, 1390, 2695, 18523, 26, 784, 30, 10460, 711, 291, 442, 428, 324, 10460, 710, 4964, 14139, 1392, 81, 12210, 81, 3197, 785, 474, 2430, 1366, 81, 833, 41137, 32, 470, 20, 324, 1717, 10460, 710, 4964, 14139, 1392, 81, 12210, 81, 3197, 785, 474, 2430, 6263, 15659, 474, 10460, 710, 4964, 14139, 1392, 81, 39430, 785, 474, 4939, 470, 20, 324, 1717, 10460, 710, 4964, 14139, 1392, 81, 12210, 81, 3197, 785, 474, 2430, 2714, 81, 1935, 81, 22930, 32, 470, 20, 291, 1481, 284, 665, 10162, 9651, 26, 784, 30, 10460, 711, 291, 47008, 9651, 280, 630, 32, 1163, 32, 936, 1465, 720, 26, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 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, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 5, 7, 8, 7, 8, 7, 5, 5, 10, 11, 9, 10, 9, 10, 10, 13, 13, 13, 11, 14, 15, 13, 14, 14, 13, 15, 15, 15, 10, 10, 10, 13, 13, 13, 11, 10, 10, 10, 13, 13, 13, 11, 12, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 10, 13, 13, 13, 13, 11, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 10, 13, 13, 13, 13, 13, 11, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 9, 10, 9, 6, 6, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 11, 11, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 6, 6, 7, 7, 7, 9, 10, 10, 10, 9, 10, 9, 7, 7, 11, 11, 14, 14, 14, 14, 14, 12, 12, 11, 8, 8, 10, 10, 13, 14, 12, 13, 13, 12, 13, 12, 12, 12, 12, 13, 14, 12, 8, 8, 11, 11, 15, 15, 15, 13, 13, 15, 16, 16, 16, 15, 12, 12, 14, 14, 14, 8, 8, 11, 12, 11, 13, 13, 14, 14, 14, 13, 6, 6, 10, 11, 9, 10, 9, 10, 10, 9, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 7, 7, 9, 9, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 9, 10, 8, 9, 9, 9, 8, 8 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 4, 4, 4, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 5, 5, 1, 1, 1, 2, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 5, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 7, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 9, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 5, 5, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 2, 1, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 4, 4, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1 ]
[ 37632, 14507, 81, 26580, 280, 5053, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 370, 528, 330, 1648, 950, 330, 35, 32, 34, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 9254, 81, 1567, 203, 4021, 81, 2310, 44, 9301, 30, 7775, 556, 31405, 9045, 21015, 667, 1692, 22718, 32, 203, 2310, 44, 284, 429, 1348, 2297, 6972, 322, 11146, 432, 9045, 21015, 667, 1692, 1914, 22718, 3751, 619, 475, 32869, 461, 1224, 27850, 3443, 397, 5216, 4729, 322, 35603, 8361, 32, 8204, 1692, 1914, 22718, 884, 10088, 1755, 328, 322, 9045, 21015, 5083, 1542, 30, 2154, 397, 9045, 21015, 48011, 322, 667, 32, 397, 2030, 438, 6107, 36477, 304, 461, 9567, 313, 2140, 20, 2926, 32, 225, 4417, 2297, 488, 26, 5962, 27, 372, 11856, 322, 9254, 397, 667, 8015, 461, 488, 26, 5962, 81, 7909, 27, 372, 11856, 667, 20664, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 36, 20, 203, 2116, 44, 447, 2487, 268, 971, 431, 644, 266, 11931, 25287, 431, 644, 266, 471, 559, 14484, 38614, 11931, 994, 693, 84, 27, 203, 2184, 44, 334, 9254, 81, 1126, 81, 2842, 44, 284, 3048, 44, 397, 429, 886, 636, 556, 5471, 64, 432, 322, 9254, 667, 32, 284, 2129, 44, 861, 284, 20664, 44, 2107, 1126, 81, 426, 370, 330, 1126, 81, 2842, 785, 334, 1603, 44, 284, 3048, 44, 397, 429, 31138, 11397, 322, 10848, 1603, 32, 284, 2129, 44, 861, 284, 1244, 44, 313, 2689, 20, 284, 16682, 44, 3037, 2689, 392, 313, 3596, 304, 1446, 334, 8813, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 667, 8813, 32, 23368, 3405, 27765, 623, 390, 26, 1648, 547, 284, 2129, 44, 861, 334, 1503, 44, 284, 3048, 44, 397, 429, 225, 3036, 432, 322, 21015, 667, 32, 23368, 3405, 27765, 623, 390, 26, 7909, 547, 284, 2129, 44, 901, 334, 1692, 81, 1855, 44, 284, 3048, 44, 397, 429, 225, 6374, 432, 322, 1692, 688, 21637, 322, 9254, 667, 32, 284, 2129, 44, 901, 284, 1244, 44, 3443, 284, 16682, 44, 2107, 2238, 785, 334, 1914, 81, 2132, 44, 284, 3048, 44, 397, 429, 225, 3725, 31, 5138, 2129, 436, 1692, 1914, 32, 397, 429, 225, 439, 26, 379, 3443, 1692, 1914, 610, 27, 397, 429, 225, 390, 26, 1855, 81, 2842, 27, 886, 11639, 6287, 3270, 308, 25592, 27, 432, 322, 1224, 27850, 556, 475, 32869, 3443, 688, 438, 322, 1692, 1914, 32, 397, 429, 225, 390, 26, 6565, 27, 25444, 4946, 9045, 21015, 1395, 4240, 28801, 322, 1692, 1914, 32, 4101, 438, 2933, 32, 397, 429, 225, 390, 26, 4432, 81, 891, 27, 886, 22909, 1451, 432, 9212, 688, 9045, 21015, 1098, 10847, 645, 1370, 1692, 1914, 821, 322, 276, 1133, 432, 24032, 1370, 667, 32, 4101, 438, 225, 35, 34, 34, 32, 397, 429, 225, 390, 26, 19569, 81, 2705, 27, 886, 2747, 328, 322, 3443, 2154, 9045, 21015, 1395, 1477, 9175, 32, 276, 32186, 1343, 884, 5223, 2331, 81, 58, 17400, 567, 556, 498, 1757, 635, 32, 284, 2129, 44, 861, 203, 15965 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 638, 1439, 1188, 16588, 1534, 1761, 30, 6144, 81, 1131, 81, 11250, 203, 465, 6436, 203, 465, 5741, 203, 823, 36532, 750, 5442, 1534, 26, 5442, 1534, 1761, 711, 284, 540, 2993, 284, 9618, 308, 26485, 27, 11847, 432, 4684, 645, 312, 22153, 706, 15590, 284, 619, 312, 667, 432, 499, 3812, 5781, 100, 1801, 499, 3812, 5781, 26, 100, 9841, 6974, 33594, 499, 3812, 5781, 26, 100, 81, 98, 30, 766, 1295, 33594, 556, 284, 499, 3812, 5781, 78, 10753, 82, 1471, 322, 499, 1803, 5781, 8695, 100, 1298, 82, 2652, 32, 284, 2802, 322, 13907, 4794, 436, 322, 6660, 12651, 13135, 32, 284, 886, 1244, 7533, 299, 12841, 5251, 322, 4054, 432, 322, 11229, 436, 2504, 284, 1300, 328, 312, 6092, 32, 284, 19677, 884, 15279, 1412, 322, 443, 438, 3219, 4704, 1191, 32, 2802, 322, 3693, 378, 23597, 284, 432, 499, 1298, 27214, 26605, 750, 5442, 1534, 32, 1945, 82, 436, 322, 5414, 21544, 322, 284, 3276, 32, 284, 4377, 5997, 403, 291, 886, 8218, 23119, 322, 14471, 432, 22401, 645, 312, 22153, 15590, 291, 526, 322, 26718, 10517, 30, 2091, 17912, 1453, 461, 4497, 3147, 30, 461, 3346, 5494, 32, 291, 2614, 7596, 6092, 15172, 328, 312, 14457, 4376, 1471, 18976, 18112, 291, 10517, 30, 2318, 499, 823, 27214, 1490, 1084, 3773, 32, 15096, 32, 14888, 1705, 5442, 1534, 2541, 284, 4377, 5967, 403, 291, 886, 2091, 17912, 1453, 461, 4497, 3147, 6090, 1395, 526, 3191, 291, 328, 18667, 32, 284, 8350, 284, 13510, 284, 2926, 499, 330, 35, 86, 370, 330, 36, 86, 370, 330, 2250, 318, 370, 330, 5089, 25, 291, 7596, 6092, 15172, 619, 312, 667, 432, 322, 3191, 12651, 14977, 45, 291, 2318, 322, 13907, 4169, 4794, 436, 2818, 101, 284, 1932, 499, 25238, 2028, 291, 322, 1932, 1914, 432, 22401, 30, 15484, 322, 330, 2731, 25, 2623, 284, 12041, 499, 1417, 81, 6228, 291, 322, 43751, 7395, 12041, 7947, 322, 1932, 12651, 8742, 45, 291, 14714, 544, 4102, 2816, 18769, 322, 2075, 884, 499, 3812, 5781, 100, 1801, 499, 3812, 5781, 100, 81, 98, 1801, 556, 291, 499, 3812, 5781, 78, 10753, 2541, 11963, 9991, 436, 27960, 884, 499, 3812, 5781, 78, 27896, 109, 63, 1970, 3188, 90, 82, 291, 461, 18667, 436, 29071, 32, 16785, 432, 310, 17915, 29, 35, 284, 10712, 775, 499, 499, 823, 27214, 1490, 1084, 3773, 32, 4952, 775, 4258, 32, 4952, 775, 4258, 32, 18015, 775, 4258, 1801, 5302, 291, 322, 10712, 775, 4258, 1980, 1654, 372, 4483, 3346, 5494, 1991, 767, 1538, 299, 7291, 45, 291, 458, 438, 2129, 436, 1169, 6792, 2940, 4102, 2816, 1057, 5089, 25, 572, 284, 3100, 499, 25238, 2028, 30, 5302, 291, 322, 3100, 1914, 432, 22401, 372, 8184, 31, 13944, 1089, 284, 489, 6974, 499, 629, 30, 5302, 291, 322, 1451, 432, 499, 3812, 5781, 78, 6974, 82, 22519, 30, 540, 7398, 645, 225, 34, 372, 225, 35, 45, 22437, 1092, 415, 291, 4102, 2816, 1057, 36, 86, 25, 572, 284, 298, 449, 648, 499, 1897, 30, 5302, 291, 886, 7091, 43751, 7947, 322, 1628, 31, 1028, 31, 46103 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 323, 4692, 203, 465, 15798, 203, 465, 617, 70, 2918, 11912, 203, 823, 4404, 20982, 3010, 6519, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 2023, 1612, 2023, 14350, 26, 784, 711, 291, 15222, 280, 323, 4692, 32, 84, 4692, 1590, 20982, 3010, 6519, 346, 291, 15222, 32, 2333, 346, 291, 1688, 280, 15222, 32, 47080, 346, 291, 630, 32, 5299, 26, 2024, 32, 936, 1943, 3010, 26, 84, 4692, 32, 84, 4692, 1943, 32, 11125, 471, 330, 2840, 683, 291, 630, 32, 5299, 26, 2024, 32, 936, 1943, 3010, 26, 84, 4692, 32, 84, 4692, 1943, 32, 8024, 471, 330, 7273, 683, 291, 630, 32, 5299, 26, 2024, 32, 936, 1943, 3010, 26, 84, 4692, 32, 84, 4692, 1943, 32, 10490, 471, 330, 64, 683, 291, 630, 32, 5299, 26, 2024, 32, 936, 1943, 3010, 26, 84, 4692, 32, 84, 4692, 1943, 32, 31598, 471, 330, 64, 2840, 683, 291, 630, 32, 5299, 26, 2024, 32, 936, 1943, 3010, 26, 84, 4692, 32, 84, 4692, 1943, 32, 6768, 471, 330, 73, 683, 284, 665, 894, 81, 2023, 1612, 14350, 705, 19874, 26, 784, 711, 291, 15222, 280, 323, 4692, 32, 84, 4692, 1590, 20982, 3010, 6519, 346, 291, 15222, 32, 885, 3010, 26, 84, 4692, 32, 84, 4692, 1590, 20982, 3010, 6519, 32, 2380, 30, 330, 95, 683, 291, 15222, 32, 885, 3010, 26, 84, 4692, 32, 84, 4692, 1590, 20982, 3010, 6519, 32, 31598, 30, 330, 19502, 683, 291, 15222, 32, 2333, 346, 291, 1688, 280, 15222, 32, 47080, 346, 291, 630, 32, 5299, 26, 2024, 32, 936, 1943, 3010, 26, 84, 4692, 32, 84, 4692, 1943, 32, 11125, 471, 330, 2840, 683, 291, 630, 32, 5299, 26, 2024, 32, 936, 1943, 3010, 26, 84, 4692, 32, 84, 4692, 1943, 32, 8024, 471, 330, 7273, 683, 291, 630, 32, 5299, 26, 2024, 32, 936, 1943, 3010, 26, 84, 4692, 32, 84, 4692, 1943, 32, 10490, 471, 330, 64, 683, 291, 630, 32, 5299, 26, 2024, 32, 936, 1943, 3010, 26, 84, 4692, 32, 84, 4692, 1943, 32, 31598, 471, 330, 64, 2840, 683, 291, 630, 32, 5299, 26, 2024, 32, 936, 1943, 3010, 26, 84, 4692, 32, 84, 4692, 1943, 32, 6768, 471, 330, 73, 683, 284, 665, 894, 81, 14350, 705, 19874, 26, 784, 711, 291, 1509, 280, 323, 4692, 32, 84, 4692, 1590, 20982, 346, 291, 1509, 32, 3573, 26, 36, 30, 39, 27, 291, 298, 35, 280, 1509, 32, 936, 1943, 26, 34, 27, 291, 312, 280, 298, 35, 32, 936, 3354, 346, 291, 312, 77, 34, 30, 34, 79, 280, 225, 35, 36, 37, 38, 32, 39, 40, 45, 312, 77, 35, 30, 34, 79, 280, 225, 37, 38, 32, 40, 39, 45, 312, 77, 36, 30, 34, 79, 280, 225, 43, 42, 32, 34, 42, 45, 312, 77, 37, 30, 34, 79, 280, 225, 43, 42, 41, 32, 35, 36, 45, 312, 77, 38, 30, 34, 79, 280, 225, 40, 39, 38, 32, 35, 36, 291, 298, 35, 32, 885, 3354, 26, 83, 27, 291, 298, 36, 280, 1509, 32, 936, 1943 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 12, 11, 12, 12, 12, 10, 11, 9, 7, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 12, 11, 12, 12, 12, 10, 11, 9, 7, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 12, 11, 12, 12, 12, 10, 11, 9, 7, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 12, 11, 12, 12, 12, 10, 11, 9, 7, 9, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 12, 11, 12, 12, 12, 10, 11, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 8, 8, 7, 10, 10, 9, 10, 10, 10, 10, 10, 10, 8, 9, 7, 7, 9, 9, 4, 4, 7, 8, 8, 7, 10, 10, 9, 10, 10, 10, 10, 10, 10, 8, 9, 7, 7, 9, 9, 4, 4, 7, 8, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 12, 11, 12, 12, 12, 10, 11, 9, 7, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 12, 11, 12, 12, 12, 10, 11, 9, 7, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 12, 11, 12, 12, 12, 10, 11, 9, 7, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 12, 11, 12, 12, 12, 10, 11, 9, 7, 9, 9, 9, 4, 4, 7, 8, 7, 10, 9, 10, 10, 10, 9, 12, 12, 11, 12, 12, 12, 10, 11, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 9, 9, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 6, 6, 9, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 6, 6, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 6, 6, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 6, 6, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 6, 6, 7, 7, 7, 7, 7, 7, 4, 4, 8, 7, 8, 8, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 4, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2 ]
[ 1070, 35197, 1188, 1412, 30, 1615, 203, 1070, 1340, 81, 19407, 1188, 9098, 203, 465, 296, 1745, 81, 36238, 32, 4538, 203, 465, 2322, 203, 4386, 280, 2322, 32, 983, 32, 7781, 4064, 761, 8223, 203, 50, 15813, 26, 103, 1330, 2103, 3502, 296, 1745, 6735, 101, 683, 203, 589, 3111, 81, 3106, 26, 1819, 711, 284, 1619, 32, 7177, 51, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 74, 683, 284, 1619, 32, 7177, 52, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 75, 683, 203, 50, 15813, 26, 103, 1330, 2103, 4281, 296, 1745, 6735, 101, 683, 203, 589, 3111, 81, 3106, 26, 1819, 711, 284, 1619, 32, 7177, 51, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 106, 32, 7070, 683, 284, 1619, 32, 7177, 52, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 107, 32, 7070, 683, 203, 50, 15813, 26, 103, 1330, 2103, 3449, 296, 1745, 6735, 101, 683, 203, 589, 3111, 81, 3106, 26, 1819, 711, 284, 1619, 32, 7177, 51, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 106, 32, 7070, 683, 284, 1619, 32, 7177, 52, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 106, 36, 32, 7070, 683, 203, 50, 15813, 26, 103, 1330, 2103, 296, 1745, 6735, 101, 623, 3449, 28088, 683, 203, 589, 3111, 81, 3106, 26, 1819, 711, 284, 1619, 32, 7177, 51, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 106, 32, 7070, 683, 284, 1619, 32, 7177, 52, 280, 2322, 32, 983, 32, 2524, 26, 4386, 30, 330, 106, 37, 32, 7070, 683, 203, 50, 6036, 26, 103, 25, 32129, 21005, 683, 203, 589, 3111, 81, 3106, 26, 1819, 711, 284, 1596, 44, 291, 623, 9098, 26, 1819, 32, 1433, 1515, 711, 324, 1619, 32, 1267, 280, 296, 1745, 81, 36238, 32, 4538, 32, 1831, 463, 4903, 301, 34, 111, 301, 35, 16805, 1643, 26, 1819, 32, 7177, 51, 30, 1619, 32, 7177, 52, 547, 2998, 1157, 284, 2940, 1171, 8112, 30, 484, 44, 291, 1459, 26, 1515, 26, 87, 490, 291, 1459, 26, 87, 32, 687, 27, 291, 1459, 26, 87, 32, 1436, 27, 291, 1459, 26, 87, 32, 1132, 27, 291, 3636, 34835, 463, 1598, 8112, 683, 203, 50, 3356, 26, 103, 1330, 292, 476, 1395, 526, 1289, 21005, 3733, 322, 6735, 101, 11834, 203, 589, 3111, 81, 3106, 26, 1819, 711, 284, 1201, 1619, 32, 1267, 438, 225, 34, 203, 50, 3356, 26, 103, 1330, 292, 476, 1395, 526, 21005, 3733, 322, 6735, 101, 11834, 203, 589, 3111, 81, 3106, 26, 1819, 711, 284, 1201, 1619, 32, 1267, 438, 225, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 0, 1, 1, 0, 3, 2, 2, 5, 6, 4, 5, 4, 5, 5, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 6, 7, 7, 5, 5, 8, 9, 7, 8, 7, 8, 7, 7, 9, 9, 3, 3, 6, 7, 7, 5, 5, 8, 9, 7, 8, 7, 8, 7, 7, 9, 9, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 6, 7, 7, 5, 5, 8, 9, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 3, 3, 6, 7, 7, 5, 5, 8, 9, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 6, 7, 7, 5, 5, 8, 9, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 3, 3, 6, 7, 7, 5, 5, 8, 9, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 6, 7, 7, 5, 5, 8, 9, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 3, 3, 6, 7, 7, 5, 5, 8, 9, 7, 8, 7, 8, 7, 7, 9, 9, 9, 9, 9, 0, 2, 4, 4, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 4, 4, 4, 6, 10, 12, 11, 12, 12, 10, 6, 6, 10, 11, 9, 9, 13, 13, 13, 12, 13, 11, 12, 11, 17, 17, 17, 17, 17, 17, 17, 16, 15, 17, 16, 17, 17, 15, 15, 16, 17, 17, 15, 14, 13, 4, 4, 5, 6, 5, 5, 5, 5, 5, 9, 11, 11, 12, 11, 6, 6, 9, 11, 10, 11, 9, 6, 6, 9, 11, 10, 11, 9, 6, 6, 9, 11, 10, 11, 9, 6, 6, 7, 9, 11, 11, 11, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 4, 6, 7, 5, 5, 6, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 4, 3, 2, 2, 4, 6, 7, 5, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 6, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 9, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 2, 1, 2, 1, 0, 0, 3, 1, 3, 3, 3, 3, 3, 1, 0, 1, 1, 1, 5, 5, 1, 0, 1, 2, 1, 5, 5, 1, 0, 1, 2, 1, 5, 5, 1, 0, 1, 2, 1, 5, 5, 4, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 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 ]
[ 465, 1133, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 4259, 81, 2942, 1188, 11854, 1308, 1711, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 5837, 1188, 17526, 1711, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 20492, 1188, 37826, 1711, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 7173, 380, 1188, 19620, 380, 1711, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 1066, 1188, 11761, 1711, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 4315, 2025, 81, 32938, 631, 1188, 308, 284, 902, 18153, 34582, 631, 1711, 27, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 5825, 1188, 19182, 1711, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 5825, 81, 20782, 1188, 19182, 5544, 8575, 1711, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 14408, 1188, 40666, 1711, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 44088, 1188, 6504, 6041, 1711, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 16186, 1188, 394, 368, 1711, 203, 1070, 29346, 32, 1637, 32, 3543, 32, 1684, 1188, 36192, 1308, 1711, 203, 1070, 29346, 32, 1840, 81, 14460, 1188, 24253, 81, 21567, 81, 4133, 203, 823, 5245, 7981, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 4878, 30, 7116, 81, 1684, 101, 47, 2700, 711, 284, 630, 1114, 3007, 280, 4878, 284, 630, 1114, 5961, 81, 1684, 101, 280, 7116, 81, 1684, 101, 334, 665, 617, 2529, 1711, 26, 784, 30, 2125, 711, 284, 2125, 32, 12542, 2529, 1711, 26, 784, 1114, 3007, 27, 284, 2125, 32, 2529, 1711, 26, 784, 1114, 3007, 27, 334, 665, 14084, 16747, 26, 784, 30, 2266, 30, 438, 81, 6579, 47, 2700, 30, 438, 81, 22285, 47, 2700, 30, 5556, 438, 81, 12060, 47, 2700, 30, 13760, 444, 47, 2700, 711, 284, 5736, 280, 1605, 284, 415, 438, 81, 6579, 44, 397, 5736, 32, 1689, 26, 16471, 81, 21567, 81, 4133, 32, 1296, 81, 20178, 27, 284, 415, 438, 81, 22285, 44, 397, 5736, 32, 1689, 26, 16471, 81, 21567, 81, 4133, 32, 1296, 81, 69, 2396, 32691, 27, 284, 415, 438, 81, 12060, 44, 397, 5736, 32, 1689, 26, 16471, 81, 21567, 81, 4133, 32, 1296, 81, 15812, 567, 41481, 27, 284, 415, 13760, 444, 44, 397, 5736, 32, 1689, 26, 16471, 81, 21567, 81, 4133, 32, 34770, 2147, 27, 284, 15994, 280, 35446, 26, 784, 1114, 3007, 30, 2266, 30, 5736, 27, 284, 15994, 32, 5942, 346, 284, 442, 15994, 334, 665, 14084, 21922, 16747, 26, 784, 30, 2266, 30, 438, 81, 6579, 47, 2700, 30, 438, 81, 22285, 47, 2700, 30, 4985, 438, 81, 12060, 47, 2700, 30, 13760, 444, 47, 2700, 711, 284, 442, 630, 32, 5942, 16747, 463, 21922, 16436, 474, 2266, 30, 438, 81, 6579, 30, 438, 81, 22285, 30, 768, 438, 81, 12060, 30, 13760, 444, 27, 334, 665, 37826, 705, 1969, 26, 784, 30, 1938, 30, 5868, 81, 266, 81, 6360, 47, 40, 34, 711, 284, 415, 1938, 32, 297, 81, 761, 44, 397, 1760, 81, 2671, 81, 965, 280, 630, 1114, 3007, 32, 7128, 32, 525, 81, 1786, 32, 2205, 1419, 26, 1637, 32, 761, 81, 983, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 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, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 8, 7, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 6, 4, 3, 3, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 10, 11, 11, 11, 9, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 9, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 10, 11, 11, 11, 11, 11, 9, 4, 4, 5, 6, 5, 5, 5, 9, 10, 9, 11, 11, 11, 11, 11, 10, 11, 11, 9, 4, 4, 6, 6, 8, 10, 9, 10, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 6, 5, 6, 4, 3, 3, 5, 7, 8, 8, 7, 10, 10, 8, 8, 7, 7, 8, 8, 7, 7, 8, 8, 7, 7, 7, 8, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 6, 6, 5, 6, 6, 4, 3, 3, 5, 6, 7, 7, 7, 5, 5, 5, 9, 9, 9, 9, 8, 8, 13, 14, 12, 13, 11, 12, 12, 12, 10, 11, 11, 10, 12, 11, 12, 12, 12, 12 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 6, 6, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 1, 6, 6, 6, 8, 8, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 1, 6, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 1, 6, 12, 12, 0, 0, 0, 13, 13, 1, 2, 2, 2, 13, 13, 0, 0, 0, 0, 0, 14, 14, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 5, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 11, 2, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 4, 1, 4, 4, 4, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 7, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 2, 0, 0, 9, 2, 2, 2, 0, 11, 2, 2, 3, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 7, 7, 1, 1, 9, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 5, 2, 2, 2, 4, 4, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2 ]
[ 465, 6350, 203, 465, 2322, 203, 465, 5237, 203, 81, 3539, 81, 19814, 69, 81, 1407, 81, 23640, 780, 8484, 280, 2107, 3766, 370, 330, 90, 370, 330, 85, 370, 330, 24523, 370, 330, 4679, 1295, 785, 203, 81, 7100, 31254, 81, 1407, 81, 24111, 280, 2107, 32, 2912, 370, 5608, 19370, 370, 330, 14146, 81, 9744, 785, 203, 589, 28011, 518, 3839, 1554, 24979, 26, 5660, 30, 803, 81, 28679, 30, 1628, 81, 28679, 711, 334, 436, 1623, 328, 2322, 32, 26366, 26, 5660, 711, 284, 3536, 81, 1094, 81, 983, 280, 2322, 32, 983, 32, 2524, 26, 5660, 30, 1623, 27, 284, 415, 2322, 32, 983, 32, 29712, 26, 2620, 81, 1094, 81, 983, 711, 29625, 415, 308, 1657, 26, 2620, 81, 1094, 81, 983, 32, 2998, 3949, 2847, 848, 225, 35, 461, 616, 3536, 81, 1094, 81, 983, 32, 2998, 36909, 6448, 35, 79, 328, 617, 3539, 81, 19814, 69, 81, 1407, 81, 23640, 780, 8484, 711, 291, 296, 280, 803, 26, 2620, 81, 1094, 81, 983, 27, 291, 1596, 44, 616, 5430, 280, 296, 32, 33232, 346, 291, 8295, 44, 616, 296, 32, 2679, 346, 291, 537, 81, 4446, 280, 1605, 16189, 1628, 81, 2171, 280, 225, 34, 16189, 2866, 81, 452, 81, 761, 280, 3177, 16189, 436, 1628, 328, 5430, 44, 616, 4707, 81, 928, 280, 1628, 616, 1628, 81, 2171, 1454, 225, 35, 616, 436, 15356, 328, 1628, 81, 28679, 44, 324, 1628, 280, 15356, 26, 928, 30, 3536, 81, 1094, 81, 983, 30, 1628, 81, 2171, 27, 324, 415, 4707, 81, 928, 863, 1628, 44, 1090, 2866, 81, 452, 81, 761, 280, 2933, 616, 537, 81, 4446, 32, 1689, 26, 928, 27, 291, 3610, 81, 1286, 280, 35617, 2524, 26, 4446, 27, 291, 537, 81, 1286, 280, 35617, 2524, 26, 890, 81, 4446, 27, 291, 436, 15356, 328, 803, 81, 28679, 44, 616, 537, 81, 1286, 280, 15356, 26, 890, 81, 1286, 30, 3536, 81, 1094, 81, 983, 27, 291, 415, 537, 81, 1286, 863, 3610, 81, 1286, 44, 616, 2866, 81, 452, 81, 761, 280, 2933, 291, 415, 2866, 81, 452, 81, 761, 44, 616, 296, 280, 803, 26, 2620, 81, 1094, 81, 983, 30, 330, 105, 683, 616, 1596, 44, 324, 296, 32, 1821, 26, 890, 81, 1286, 27, 616, 8295, 44, 324, 296, 32, 2679, 346, 616, 1459, 330, 33617, 3404, 372, 904, 101, 25, 904, 3536, 81, 1094, 81, 983, 284, 4348, 1623, 646, 328, 617, 7100, 31254, 81, 1407, 81, 24111, 44, 397, 28011, 518, 3839, 1554, 24979, 26, 2620, 81, 1094, 81, 983, 30, 803, 81, 28679, 30, 1628, 81, 28679, 27, 203, 589, 1565, 12489, 31641, 2781, 1498, 26, 928, 30, 803, 81, 983, 30, 1628, 81, 2171, 711, 334, 42701, 81, 928, 280, 1628, 32, 38848, 346, 474, 3228, 96, 25, 334, 415, 1628, 863, 42701, 81, 928, 44, 284, 1459, 330, 34849, 19938, 19782, 328, 904, 101, 6069, 101, 25, 904, 308, 761, 81, 983, 30, 1628, 81, 2171, 27, 334, 442, 42701, 81, 928, 203, 589, 16155, 487, 435, 34393, 26, 928, 30, 803, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 5, 6, 5, 6, 5, 3, 3, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 8, 4, 4, 5, 8, 9, 7, 8, 7, 8, 8, 8, 8, 8, 7, 5, 5, 7, 12, 12, 15, 15, 15, 15, 15, 14, 15, 14, 16, 10, 10, 11, 9, 9, 9, 14, 14, 14, 14, 13, 14, 13, 11, 13, 11, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 7, 7, 10, 10, 12, 13, 13, 13, 13, 13, 12, 8, 8, 9, 9, 9, 12, 12, 14, 15, 14, 9, 9, 10, 10, 10, 14, 15, 14, 8, 8, 11, 11, 10, 10, 8, 8, 11, 11, 10, 10, 11, 8, 8, 11, 11, 11, 11, 10, 10, 8, 8, 9, 9, 9, 9, 9, 9, 13, 13, 12, 12, 10, 10, 13, 13, 12, 12, 13, 10, 10, 11, 11, 11, 12, 12, 11, 11, 11, 14, 14, 16, 17, 16, 16, 17, 17, 17, 17, 16, 16, 17, 17, 16, 12, 12, 13, 15, 15, 14, 14, 13, 13, 13, 17, 17, 17, 17, 16, 16, 10, 10, 14, 14, 13, 14, 13, 14, 13, 8, 8, 11, 11, 10, 10, 13, 12, 13, 12, 8, 8, 11, 11, 10, 10, 13, 12, 13, 13, 13, 12, 8, 8, 9, 9, 9, 10, 10, 9, 9, 9, 13, 13, 12, 12, 14, 15, 15, 15, 14, 14, 15, 15, 15, 15, 14, 8, 8, 9, 11, 11, 10, 10, 11, 11, 9, 9, 9, 13, 13, 13, 13, 12, 12, 8, 8, 9, 10, 10, 10, 10, 9, 9, 9, 12, 12, 14, 15, 15, 15, 15, 15, 14, 14, 16, 16, 10, 10, 11, 11, 11, 15, 16, 15, 16, 16, 16, 15, 11, 11, 12, 12, 12, 16, 17, 16, 10, 10, 11, 14, 14, 14, 14, 14, 14, 12, 12, 13, 13, 13, 13, 5, 5, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 7, 5, 5, 8, 7, 2, 2, 3, 4, 4, 5, 5, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 7, 7, 8, 8, 7, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 5, 5, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 2, 5, 5, 2, 2, 2, 3, 3, 2, 2, 2, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 1, 5, 5, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 8, 8, 8, 3, 3, 8, 8, 8, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 3, 3, 9, 0, 0, 1, 1, 2, 2, 9, 9, 9, 0, 0, 0, 0, 0, 0, 3, 3, 10, 1, 1, 1, 1, 10, 10, 10, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 2, 1, 3, 3, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 6, 6, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 2, 1, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 2, 3 ]
[ 24021, 2893, 280, 1524, 203, 1559, 203, 1647, 44, 11040, 36, 81, 342, 84, 203, 4021, 81, 2310, 44, 1513, 31, 30788, 556, 17497, 6942, 645, 13486, 36, 10531, 26445, 203, 2310, 44, 334, 429, 1348, 2297, 409, 31, 30788, 556, 17497, 600, 9045, 13486, 36, 1980, 645, 322, 10531, 26445, 284, 688, 561, 17732, 372, 32, 334, 429, 3759, 8434, 313, 735, 36, 81, 342, 3883, 20, 1510, 438, 312, 1149, 432, 709, 3883, 13076, 372, 322, 1980, 284, 415, 1603, 47, 3596, 304, 438, 5403, 619, 600, 2793, 32, 334, 429, 13508, 526, 15177, 5372, 1412, 3823, 1755, 415, 2017, 884, 10531, 26445, 2431, 372, 26391, 544, 32, 203, 1648, 81, 11043, 44, 313, 35, 32, 36, 20, 203, 2116, 44, 313, 19693, 47365, 1874, 11931, 6857, 104, 4731, 203, 2184, 44, 334, 1603, 44, 284, 3048, 44, 397, 429, 3909, 556, 26810, 1611, 322, 1980, 284, 2129, 44, 861, 284, 16682, 44, 2107, 2689, 370, 330, 3596, 304, 785, 334, 1980, 81, 314, 44, 284, 3048, 44, 397, 429, 13486, 36, 11617, 2484, 284, 2129, 44, 861, 334, 11040, 36, 81, 342, 3883, 44, 284, 3048, 44, 397, 429, 1682, 432, 10531, 52, 4467, 30, 2129, 436, 14539, 32, 886, 11040, 36, 81, 342, 3883, 8434, 1395, 526, 1654, 415, 2017, 1597, 312, 4552, 409, 31, 3317, 32, 284, 2129, 44, 901, 284, 1244, 44, 1665, 334, 5352, 81, 23724, 81, 5634, 44, 284, 3048, 44, 397, 429, 14071, 372, 5352, 322, 24144, 10790, 432, 322, 1980, 544, 322, 1760, 10531, 52, 415, 322, 24144, 10790, 1401, 646, 3425, 291, 2583, 5887, 32, 1670, 739, 372, 1289, 30, 322, 2899, 1098, 3547, 415, 322, 24144, 10790, 438, 646, 5887, 544, 322, 10531, 52, 32, 284, 2129, 44, 901, 284, 1244, 44, 9155, 284, 16682, 44, 428, 313, 7134, 392, 313, 1347, 20, 1481, 334, 4465, 44, 284, 3048, 44, 397, 429, 11977, 436, 1980, 14539, 556, 26810, 6120, 372, 6153, 7504, 2670, 14116, 32, 284, 2129, 44, 901, 284, 1244, 44, 9155, 284, 16682, 44, 428, 313, 7134, 392, 313, 1347, 20, 1481, 334, 6042, 81, 23545, 44, 284, 3048, 44, 397, 429, 5076, 739, 372, 313, 1347, 392, 14156, 25202, 1098, 646, 526, 25776, 436, 36387, 7041, 2377, 225, 36, 32, 40, 32, 34, 32, 284, 2129, 44, 901, 284, 1244, 44, 313, 7134, 20, 284, 16682, 44, 3037, 7134, 392, 313, 1347, 1446, 284, 20664, 44, 1605, 284, 1503, 81, 11043, 44, 313, 35, 32, 39, 20, 334, 4465, 81, 5457, 44, 284, 3048, 44, 397, 429, 5104, 432, 6791, 372, 4465, 436, 600, 1980, 372, 1539, 1603, 32, 1670, 225, 34, 1615, 458, 2297, 1631, 442, 600, 1048, 415, 312, 30183, 1048, 12984, 32, 1670, 2979, 31, 6158, 1615, 1346, 30183, 3878, 884, 10302, 6222, 322, 5868, 438, 16673, 32, 20419, 86, 1412, 4465, 47, 1347, 32, 284, 2129, 44, 901, 284, 1244, 44, 225, 34, 284, 1503, 81, 11043, 44, 313, 35, 32, 40, 20, 203, 9971, 81, 10270, 81, 9854, 44, 284, 429, 10176, 284, 429, 11040, 36, 203, 2993, 203, 1460, 39189, 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, 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, 4, 4, 4, 4, 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 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0 ]
[ 465, 316, 30, 1984, 2208, 30, 22045, 30, 22045, 36, 203, 465, 2322, 203, 1070, 5296, 1188, 2197, 26896, 4280, 203, 1070, 5296, 1188, 4082, 203, 1070, 5296, 1188, 1359, 203, 589, 622, 81, 5000, 81, 965, 26, 1938, 81, 965, 1717, 28652, 3876, 280, 3177, 1717, 1256, 5487, 1717, 3882, 5487, 1717, 6027, 81, 2895, 5487, 8063, 284, 4082, 32, 1338, 9670, 1698, 441, 3522, 32, 978, 79, 622, 81, 5000, 81, 965, 26, 1637, 81, 965, 31197, 101, 27059, 904, 1938, 81, 965, 27, 284, 4826, 280, 1605, 284, 4826, 32, 1689, 26, 428, 313, 1240, 31, 6143, 20, 1717, 313, 24258, 33, 39, 32, 34, 308, 7999, 410, 13821, 45, 16766, 9489, 6642, 1593, 225, 35, 34, 81, 43, 81, 37, 27, 32381, 33, 39, 37, 41, 32, 37, 40, 308, 31966, 30, 2124, 26297, 27, 11766, 33, 37, 41, 32, 34, 32, 36, 34, 40, 36, 32, 43, 38, 19495, 33, 39, 37, 41, 32, 37, 40, 20, 1481, 829, 284, 4826, 32, 1689, 26, 428, 313, 7071, 31, 7960, 1461, 13621, 30, 589, 1089, 30, 2713, 380, 20, 1481, 829, 284, 706, 280, 2197, 26896, 4280, 32, 2613, 81, 1637, 26, 1637, 81, 965, 30, 5078, 47, 5078, 27, 284, 4082, 32, 1338, 440, 605, 16851, 605, 27, 284, 803, 81, 5609, 280, 2197, 26896, 4280, 32, 1809, 81, 6270, 81, 2872, 26, 605, 1947, 9237, 6862, 8169, 761, 347, 24183, 1446, 29, 4731, 683, 284, 4082, 32, 1338, 440, 761, 81, 5609, 16851, 761, 81, 5609, 27, 284, 803, 678, 81, 5609, 280, 2197, 26896, 4280, 32, 1809, 81, 6270, 81, 2872, 26, 605, 1947, 9237, 6862, 32, 761, 678, 78, 347, 24183, 1446, 29, 4731, 683, 284, 4082, 32, 1338, 440, 761, 678, 81, 5609, 16851, 761, 678, 81, 5609, 27, 284, 415, 803, 678, 81, 5609, 11490, 563, 291, 803, 678, 81, 5609, 280, 2197, 26896, 4280, 32, 1809, 81, 6270, 81, 2872, 26, 605, 1947, 13062, 108, 347, 24183, 1446, 29, 4731, 683, 291, 4082, 32, 1338, 440, 761, 678, 81, 5609, 16851, 761, 678, 81, 5609, 27, 284, 803, 678, 81, 5609, 280, 803, 678, 81, 5609, 32, 3227, 5791, 1461, 23, 36, 55, 657, 284, 803, 678, 81, 5609, 280, 803, 678, 81, 5609, 32, 3227, 10359, 1461, 23, 36, 54, 657, 284, 4082, 32, 1338, 440, 761, 678, 81, 5609, 16851, 761, 678, 81, 5609, 27, 284, 3377, 347, 11719, 47, 6376, 24, 11719, 36, 47, 6376, 24, 761, 16851, 761, 81, 5609, 5667, 24, 11719, 37, 47, 6376, 24, 678, 16851, 761, 678, 81, 5609, 5667, 24, 1516, 1419, 7352, 47, 34, 24, 496, 47, 6376, 24, 4617, 47, 6376, 20, 284, 1984, 280, 313, 525, 555, 1499, 32, 1698, 441, 3522, 32, 307, 33, 1237, 33, 3840, 32, 1237, 32, 1317, 49, 5115, 5138, 284, 4826, 32, 1689, 14141, 8804, 265, 392, 1637, 81, 965, 1130, 284, 706, 280, 2197, 26896, 4280, 32, 2613, 81, 1637, 26, 965, 30, 5078, 47, 5078, 27, 284, 4082, 32, 1338, 26, 605, 27, 284, 8402, 2558, 280, 330, 965, 4310, 3424 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 4, 3, 3, 2, 2, 3, 2, 2, 3, 2, 2, 4, 4, 3, 2, 1, 1, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 5, 2, 2, 4, 4, 2, 2, 5, 6, 5, 5, 6, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 2, 2, 5, 6, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 2, 2, 4, 4, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 5, 6, 5, 8, 8, 7, 5, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 5, 8, 8, 8, 8, 7, 7, 7, 5, 2, 2, 5, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 7, 7, 7, 7, 5, 2, 2, 3, 5, 5, 5, 4, 6, 3, 3, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 9, 9, 9, 9, 7, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 6, 7, 6, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 6, 7, 6, 8, 8, 8, 8, 8, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 7, 7, 7, 7, 5, 2, 2, 4, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 5, 6, 5, 8, 8, 8, 7, 7, 7, 6, 2, 2, 4, 4, 7, 7, 6, 7, 7, 7, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 4, 4, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 3, 3, 2, 2, 5, 2, 2, 7, 2, 2, 0, 0, 9, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 10, 0, 0, 0, 1, 1, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 1, 1, 2, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1 ]
[ 465, 2322, 203, 465, 1133, 203, 465, 15798, 203, 465, 29590, 203, 465, 22977, 203, 1070, 10381, 93, 39583, 32, 4882, 4676, 1188, 624, 31678, 39583, 7233, 203, 1070, 10381, 93, 39583, 32, 12023, 1188, 3320, 203, 1270, 44, 284, 1188, 13247, 203, 7343, 29986, 44, 284, 13247, 280, 1665, 203, 823, 7155, 2597, 7233, 26, 73, 31678, 39583, 7233, 711, 284, 665, 894, 81, 371, 81, 2665, 26, 784, 711, 291, 281, 280, 3320, 32, 5291, 2597, 346, 291, 281, 32, 470, 463, 83, 370, 330, 83, 683, 291, 281, 32, 470, 463, 84, 370, 330, 84, 683, 291, 343, 280, 281, 32, 371, 81, 2665, 463, 83, 370, 330, 84, 683, 291, 1201, 330, 83, 25, 328, 343, 291, 1201, 330, 83, 25, 610, 343, 710, 83, 785, 291, 1201, 330, 84, 25, 328, 343, 291, 1201, 330, 84, 25, 610, 343, 710, 84, 785, 284, 665, 894, 81, 470, 81, 11374, 26, 784, 711, 291, 281, 280, 3320, 32, 5291, 2597, 346, 291, 281, 32, 470, 81, 11374, 1371, 34, 44, 225, 34, 30, 225, 35, 44, 225, 35, 30, 225, 36, 44, 225, 38, 1748, 291, 1201, 281, 32, 371, 26, 36, 27, 610, 225, 38, 291, 281, 32, 470, 81, 11374, 1162, 91, 30, 595, 28, 91, 27, 436, 595, 328, 35198, 26, 37, 490, 291, 1201, 281, 32, 371, 26, 36, 27, 610, 225, 38, 203, 823, 27234, 2597, 7233, 26, 73, 31678, 39583, 7233, 711, 284, 665, 894, 81, 470, 81, 371, 26, 784, 711, 291, 3691, 81, 1515, 280, 29590, 32, 4765, 86, 1433, 346, 291, 1596, 44, 324, 281, 280, 3320, 32, 13871, 2597, 26, 2613, 81, 1515, 47, 2868, 81, 1515, 27, 324, 436, 595, 328, 2155, 26, 37, 711, 400, 281, 32, 470, 26, 466, 26, 91, 471, 595, 319, 595, 27, 324, 436, 595, 328, 2155, 26, 37, 711, 400, 1056, 280, 281, 32, 371, 26, 466, 26, 91, 490, 400, 1201, 1056, 610, 595, 319, 595, 291, 8295, 44, 324, 22977, 32, 100, 41718, 26, 2868, 81, 1515, 27, 284, 665, 894, 81, 18290, 2613, 81, 38217, 26, 784, 711, 291, 5596, 14984, 9394, 280, 225, 35, 37, 291, 3691, 81, 1515, 280, 29590, 32, 4765, 86, 1433, 346, 291, 281, 280, 3320, 32, 13871, 2597, 26, 2613, 81, 1515, 47, 2868, 81, 1515, 30, 10084, 47, 29520, 27, 291, 436, 595, 328, 2155, 26, 36, 319, 5596, 14984, 9394, 711, 324, 281, 32, 470, 26, 466, 26, 91, 471, 595, 27, 291, 3320, 81, 2536, 280, 2322, 32, 26366, 26, 2868, 81, 1515, 27, 291, 22977, 32, 100, 41718, 26, 2868, 81, 1515, 27, 291, 1201, 2069, 26, 2613, 81, 2536, 27, 2511, 5596, 14984, 9394, 284, 665, 894, 81, 18290, 2613, 81, 3815, 26, 784, 711, 291, 3691, 81, 1515, 280, 29590, 32, 4765, 86, 1433, 346, 291, 281, 280, 3320, 32, 13871, 2597, 26, 2613, 81, 1515, 47, 2868, 81, 1515, 27, 291, 281, 32, 470, 463, 3986, 370, 330, 1632, 683, 291, 3320, 81, 2536, 280, 2322, 32, 26366, 26, 2868, 81, 1515, 27, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 7, 9, 9, 4, 4, 7, 8, 7, 9, 9, 7, 9, 9, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 4, 4, 5, 8, 8, 6, 6, 4, 4, 5, 8, 8, 6, 6, 7, 9, 9, 4, 4, 5, 8, 8, 6, 6, 4, 4, 5, 8, 8, 6, 6, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 8, 8, 7, 10, 9, 9, 10, 8, 8, 10, 9, 9, 10, 8, 8, 10, 9, 9, 10, 8, 4, 4, 5, 8, 9, 8, 9, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 7, 9, 8, 8, 9, 10, 8, 7, 8, 8, 8, 10, 11, 10, 4, 4, 5, 8, 9, 8, 9, 8, 6, 6, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 5, 5, 5, 8, 8, 10, 11, 11, 10, 12, 12, 12, 11, 12, 12, 12, 10, 6, 6, 7, 7, 7, 9, 10, 9, 7, 7, 11, 12, 11, 13, 13, 14, 13, 11, 12, 12, 11, 6, 6, 7, 7, 7, 9, 10, 9, 7, 7, 10, 10, 12, 13, 12, 14, 14, 15, 14, 8, 8, 9, 10, 10, 11, 11, 5, 5, 6, 6, 6, 10, 11, 11, 10, 11, 11, 11, 10, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 5, 5, 5, 7, 9, 8, 8, 9, 9, 7, 5, 5, 9, 10, 9, 11, 11, 12, 11, 9, 9, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 8, 7, 8, 8, 8, 7, 4, 4, 5, 8, 9, 9, 9, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 7, 9, 9, 7, 9, 9, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 1, 2, 2, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 7, 7, 7, 7, 0, 7, 3, 3, 3, 3, 3, 0, 0, 0, 8, 8, 1, 1, 2, 1, 1, 1, 1, 2, 8, 8, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 4, 4, 4, 1, 2, 1, 1, 4, 4, 5, 1, 2, 1, 1, 2, 1, 2, 4, 4, 6, 1, 2, 1, 1, 4, 4, 7, 1, 2, 1, 1, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 3, 3, 2, 1, 1, 0, 5, 5, 2, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 2, 1, 1, 1, 1, 2, 9, 9, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 5, 5, 1, 1, 1, 2, 2, 1, 1, 3, 3, 3, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 3, 3, 3, 1, 0, 1, 1, 2, 2, 1, 3, 3, 0, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4 ]
[ 1070, 638, 2304, 1188, 3270, 19985, 1486, 30, 2467, 81, 2132, 30, 617, 2682, 81, 983, 30, 44623, 81, 521, 81, 4065, 203, 823, 29184, 1486, 26, 558, 19985, 1486, 711, 284, 477, 1217, 81, 2132, 463, 90, 370, 330, 4756, 370, 330, 1696, 370, 330, 2590, 81, 5457, 370, 330, 104, 683, 284, 665, 20664, 26, 784, 30, 636, 47, 2521, 30, 2803, 47, 2521, 711, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 463, 2788, 370, 617, 2682, 81, 983, 14728, 2579, 370, 324, 330, 17030, 370, 636, 471, 2803, 47, 2132, 27, 284, 477, 1217, 81, 2132, 463, 3651, 370, 330, 90, 370, 330, 4756, 370, 330, 1696, 370, 330, 2590, 81, 5457, 370, 330, 104, 683, 284, 665, 18120, 26, 784, 30, 1541, 81, 314, 47, 2521, 30, 2803, 47, 2521, 711, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 463, 2788, 370, 617, 2682, 81, 983, 14728, 2579, 370, 324, 330, 23664, 370, 1541, 81, 314, 471, 2803, 47, 2132, 27, 284, 477, 1217, 81, 2132, 463, 90, 370, 330, 4756, 370, 330, 1696, 370, 330, 2590, 81, 5457, 370, 330, 104, 683, 284, 665, 2385, 26, 784, 30, 1650, 47, 2521, 30, 2803, 47, 2521, 711, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 463, 2788, 370, 617, 2682, 81, 983, 14728, 2579, 370, 324, 330, 998, 370, 1650, 471, 2803, 47, 2132, 27, 284, 477, 1217, 81, 2132, 463, 90, 370, 330, 4756, 370, 330, 1696, 370, 330, 2590, 81, 5457, 370, 330, 1421, 370, 330, 104, 683, 284, 665, 11806, 26, 784, 30, 2803, 47, 2521, 711, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 463, 2788, 370, 3056, 81, 2579, 33, 9855, 370, 324, 2803, 47, 2132, 27, 284, 477, 1217, 81, 2132, 463, 4756, 683, 284, 665, 3049, 26, 784, 30, 2803, 47, 2521, 711, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 463, 2788, 370, 3056, 81, 2579, 370, 2803, 47, 2132, 27, 284, 477, 1217, 81, 2132, 463, 3651, 370, 330, 1643, 370, 330, 90, 370, 330, 9855, 370, 330, 4756, 370, 330, 1696, 370, 291, 330, 2590, 81, 5457, 370, 330, 2048, 370, 330, 104, 683, 284, 665, 10193, 26, 784, 30, 1650, 47, 2521, 30, 2803, 47, 2521, 711, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 463, 2788, 370, 617, 2682, 81, 983, 14728, 2579, 370, 324, 330, 7711, 370, 1650, 471, 2803, 47, 2132, 27, 284, 477, 1217, 81, 2132, 463, 90, 370, 330, 4756, 370, 330, 1696, 370, 330, 2590, 81, 5457, 370, 330, 104, 683, 284, 665, 6514, 26, 784, 30, 2803, 47, 2521, 711, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 463, 2788, 370, 3056, 81, 2579, 33, 2590, 370, 324, 2803, 47, 2132, 27, 284, 477, 1217, 81, 2132, 463, 90, 370, 330, 4756, 370, 330, 1696, 370, 330, 2590, 81, 5457, 370, 330, 104, 683, 284, 665, 5166, 26, 784, 30, 2803, 47, 2521, 711, 291, 442, 630, 32, 9613, 32, 14413, 81, 1357, 463, 2788, 370, 3056, 81, 2579, 33, 5459, 370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 6, 6, 6, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 12, 12, 10, 10, 12, 12, 10, 10, 8, 9, 10, 8, 2, 2, 6, 6, 6, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 3, 3, 4, 5, 6, 5, 5, 7, 7, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 12, 12, 10, 10, 12, 12, 10, 11, 11, 10, 8, 9, 10, 8, 2, 2, 6, 6, 6, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 12, 12, 10, 10, 12, 12, 10, 10, 8, 9, 10, 8, 2, 2, 6, 6, 6, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 10, 8, 8, 9, 10, 8, 2, 2, 6, 6, 6, 6, 8, 8, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 8, 9, 10, 8, 2, 2, 6, 6, 6, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 6, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 12, 12, 10, 10, 12, 12, 10, 10, 8, 9, 10, 8, 2, 2, 6, 6, 6, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 10, 8, 8, 9, 10, 8, 2, 2, 6, 6, 6, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 8, 8, 6, 8, 8, 3, 3, 4, 5, 6, 5, 5, 6, 7, 5, 4, 4, 6, 9, 10, 8, 9, 9, 9, 8, 10, 10, 8, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 5, 5, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 7, 7, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2 ]
[ 1070, 8778, 32, 5954, 1188, 4483, 203, 1070, 8778, 32, 4219, 1188, 2085, 30, 7631, 203, 823, 540, 6650, 44, 284, 665, 1156, 1664, 3207, 784, 30, 3079, 761, 30, 8485, 347, 3310, 31, 42, 392, 7275, 47, 2521, 30, 1361, 1581, 47, 2521, 711, 291, 630, 32, 2387, 761, 280, 3079, 761, 291, 630, 32, 2387, 2157, 280, 7631, 32, 899, 761, 26, 2387, 761, 30, 7328, 47, 15245, 27, 291, 630, 32, 1131, 2665, 280, 2149, 291, 630, 32, 15245, 280, 8485, 291, 630, 32, 1581, 280, 7275, 291, 630, 32, 1113, 1581, 280, 1361, 1581, 284, 665, 4483, 2157, 26, 784, 30, 1509, 2157, 30, 5147, 103, 589, 25274, 47, 2700, 711, 291, 630, 32, 12620, 445, 686, 2665, 26, 1131, 2157, 30, 5147, 103, 589, 25274, 27, 291, 1688, 8587, 280, 1605, 291, 436, 2163, 328, 630, 32, 2387, 2157, 32, 8587, 44, 324, 1688, 8587, 32, 1689, 26, 784, 32, 5954, 1521, 26, 1521, 490, 291, 415, 630, 32, 15245, 610, 313, 3310, 31, 42, 563, 324, 1688, 8587, 32, 3215, 26, 34, 30, 5100, 6649, 1340, 81, 1637, 26, 40, 39, 34, 34, 35, 5421, 96, 657, 324, 1688, 8587, 32, 1689, 4120, 6649, 1340, 81, 1637, 26, 1536, 14451, 291, 442, 1688, 8587, 284, 665, 32689, 445, 686, 2665, 26, 784, 30, 2968, 30, 5147, 103, 589, 25274, 47, 2700, 711, 291, 436, 4201, 328, 2968, 32, 9660, 44, 324, 415, 5147, 103, 589, 25274, 556, 646, 4201, 32, 297, 41127, 2262, 400, 436, 3894, 328, 4201, 32, 371, 13471, 2262, 528, 7631, 800, 280, 4201, 32, 1977, 528, 415, 2069, 26, 899, 800, 32, 7201, 1157, 610, 225, 34, 44, 715, 7631, 800, 280, 4201, 32, 1855, 528, 630, 32, 1131, 2665, 77, 2645, 79, 280, 7631, 32, 11731, 81, 452, 81, 899, 26, 899, 800, 547, 4434, 26, 784, 32, 15245, 27, 284, 665, 4483, 1521, 26, 784, 30, 2163, 711, 291, 537, 1521, 280, 2163, 291, 415, 6937, 26, 890, 1521, 30, 15390, 711, 324, 537, 1521, 280, 537, 1521, 32, 4434, 463, 3310, 31, 42, 683, 291, 415, 537, 1521, 32, 15990, 440, 34801, 10280, 324, 442, 313, 34801, 904, 101, 30, 904, 101, 20, 904, 308, 784, 32, 1581, 30, 630, 32, 1113, 1581, 27, 291, 436, 4201, 328, 630, 32, 2387, 2157, 32, 9660, 44, 324, 3894, 280, 4201, 32, 371, 13471, 8532, 34, 79, 324, 415, 3894, 328, 630, 32, 1131, 2665, 44, 400, 415, 630, 32, 1131, 2665, 77, 2645, 79, 863, 4201, 32, 2872, 32, 1363, 2665, 31510, 853, 12132, 528, 537, 2872, 280, 4201, 32, 2872, 32, 1363, 922, 3227, 26, 2243, 32, 2872, 32, 1363, 2665, 31510, 853, 2188, 24896, 630, 32, 1131, 2665, 77, 2645, 1130, 528, 537, 1521, 280, 537, 1521, 32, 3227, 26, 2243, 32, 2872, 32, 1363, 1026, 537, 2872, 27, 291, 415, 6937, 26, 890, 1521, 30, 15390, 711, 324, 537, 1521, 280, 537, 1521, 32, 4434, 26, 784, 32, 15245, 27, 291, 442, 537, 1521, 203, 589, 15941, 38951, 26, 1131, 761, 30, 1688, 761, 30, 3079, 761 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 7, 7, 7, 7, 4, 5, 6, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 7, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 6, 6, 4, 4, 5, 5, 5, 7, 8, 8, 6, 7, 5, 5, 5, 10, 9, 10, 9, 12, 11, 12, 12, 11, 12, 11, 4, 4, 5, 7, 8, 6, 6, 8, 8, 8, 8, 5, 5, 10, 9, 10, 9, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 6, 6, 10, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 5, 5, 5, 6, 7, 5, 5, 5, 7, 9, 9, 9, 8, 8, 9, 11, 12, 12, 11, 7, 7, 9, 9, 9, 11, 12, 12, 11, 9, 9, 13, 12, 12, 13, 14, 10, 10, 11, 14, 17, 17, 16, 17, 16, 12, 12, 13, 11, 11, 11, 15, 14, 14, 15, 16, 10, 10, 14, 15, 15, 13, 14, 13, 12, 12, 16, 17, 17, 17, 17, 17, 16, 17, 17, 16, 15, 14, 16, 15, 16, 14, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 4, 4, 5, 7, 8, 8, 7, 7, 7, 5, 5, 9, 8, 8, 11, 10, 11, 10, 12, 12, 12, 12, 4, 4, 5, 8, 7, 8, 7, 9, 9, 5, 5, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 11, 10, 11, 9, 9, 10, 11, 11, 9, 4, 4, 5, 5, 5, 7, 8, 8, 6, 7, 5, 5, 5, 8, 8, 11, 12, 12, 11, 10, 9, 6, 6, 7, 8, 8, 9, 10, 10, 7, 7, 7, 9, 12, 13, 13, 11, 12, 11, 10, 10, 14, 15, 13, 14, 14, 13, 13, 13, 9, 9, 13, 12, 12, 17, 18, 16, 17, 16, 15, 14, 19, 18, 19, 17, 18, 18, 17, 17, 17, 14, 14, 16, 17, 17, 15, 16, 15, 10, 10, 13, 12, 12, 15, 14, 15, 14, 18, 17, 18, 16, 17, 16, 14, 15, 14, 4, 4, 5, 7, 8, 8, 7, 7, 7, 5, 5, 9, 8, 8, 11, 10, 11, 10, 12, 11, 12, 10, 4, 4, 5, 6, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 2, 2, 3 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 1, 1, 1, 2, 2, 7, 2, 2, 2, 0, 9, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 3, 3, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 5, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 4, 4, 2, 2, 2, 0, 2, 2, 3, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 3, 0, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 3, 3, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 5, 2, 2, 2, 2, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 5, 5, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 5, 5, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 3, 3, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 4, 4, 3, 3, 3, 0, 2, 2, 3, 2, 3, 3, 3, 0, 0, 0, 2, 2, 1, 2, 2, 5, 5, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 3, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 3, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 5, 1, 0, 3, 3, 1, 2, 1, 1, 2, 2, 3, 2, 2, 5 ]
[ 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, 105, 418, 8214, 81, 2393, 20002, 81, 105, 418, 8214, 1956, 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, 2157, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1449, 81, 1322, 47, 39, 34, 3662, 324, 2726, 1956, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1449, 81, 1322, 47, 39, 34, 3662, 324, 2726, 496, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 3582, 23468, 1176, 24174, 10513, 81, 426, 1057, 1237, 81, 2393, 81, 1956, 370, 5799, 47, 1815, 30, 372, 47, 494, 710, 2393, 32, 1240, 3490, 471, 324, 2726, 4524, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 24174, 2837, 81, 2174, 81, 669, 47, 1815, 30, 11771, 47, 1815, 3662, 324, 2726, 10454, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 24174, 2837, 81, 2174, 47, 1815, 30, 11771, 47, 1815, 3662, 291, 9658, 291, 3082, 32, 2714, 81, 1297, 81, 7295, 463, 105, 418, 8214, 81, 2393, 20002, 370, 2107, 73, 418, 8214, 1763, 3490, 291, 3082, 32, 1297, 81, 5665, 463, 105, 418, 8214, 81, 2393, 20002, 81, 105, 418, 8214, 1956, 370, 2107, 2157, 370, 330, 1956, 3490, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 5665, 463, 105, 418, 8214, 81, 2393, 20002, 81, 105, 418, 8214, 1956, 370, 2107, 2157, 370, 330, 1956, 3490, 291, 3082, 32, 2560, 81, 1274, 463, 105, 418, 8214, 81, 2393, 20002, 81, 105, 418, 8214, 1956, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9, 9, 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, 13, 13, 13, 12, 13, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 14, 14, 14, 14, 14, 14, 11, 12, 13, 11, 11, 12, 14, 13, 15, 15, 15, 15, 9, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 12, 13, 11, 11, 12, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 11, 11, 12, 13, 11, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 8, 10, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 8, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 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 ]
[ 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, 1, 1, 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, 2, 0, 0, 0, 1, 2, 2, 1, 3, 3, 1, 2, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 3, 3, 1, 2, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 5, 0, 2, 1, 1, 1, 2, 7, 3, 3, 1, 2, 9, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 1, 2, 11, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1070, 8527, 32, 12023, 32, 2393, 1188, 308, 284, 21307, 30, 284, 622, 81, 496, 81, 1160, 30, 284, 6207, 30, 284, 20641, 30, 284, 829, 203, 1070, 8527, 32, 36287, 1188, 2908, 30, 5668, 203, 1070, 638, 8538, 1188, 2680, 5324, 1241, 30, 2680, 4329, 1241, 203, 589, 6207, 81, 1071, 26, 1357, 711, 284, 1459, 26, 1357, 32, 496, 32, 297, 81, 22297, 1157, 284, 2354, 280, 1326, 32, 2788, 32, 371, 463, 1978, 683, 284, 1780, 280, 313, 5324, 20, 284, 2234, 280, 2680, 5324, 1241, 26, 1357, 32, 3705, 556, 1665, 27, 284, 415, 2234, 32, 297, 81, 1327, 2262, 291, 952, 280, 2234, 32, 32854, 81, 605, 32, 371, 440, 699, 657, 291, 3882, 280, 2234, 32, 32854, 81, 605, 32, 371, 463, 2895, 683, 291, 1256, 280, 21307, 26, 699, 47, 699, 30, 3882, 47, 2895, 27, 291, 6207, 26, 1357, 30, 1256, 27, 291, 415, 2354, 44, 324, 442, 5668, 26, 1978, 27, 291, 442, 5668, 32087, 284, 442, 2908, 26, 1357, 30, 313, 599, 32, 916, 392, 3447, 599, 563, 599, 30, 313, 1311, 563, 1780, 1748, 203, 589, 3909, 81, 1071, 26, 1357, 711, 284, 1459, 26, 1357, 32, 496, 32, 297, 81, 22297, 1157, 284, 2354, 280, 1326, 32, 2788, 32, 371, 463, 1978, 683, 284, 1780, 280, 313, 4329, 20, 284, 2234, 280, 2680, 4329, 1241, 26, 1357, 32, 3705, 556, 1665, 27, 284, 415, 2234, 32, 297, 81, 1327, 2262, 291, 1256, 280, 2234, 32, 2853, 26, 3375, 47, 2700, 27, 291, 3882, 280, 2234, 32, 32854, 81, 605, 32, 371, 463, 2895, 683, 291, 1256, 32, 470, 81, 2895, 26, 2895, 27, 291, 1256, 32, 2853, 346, 291, 537, 81, 496, 280, 21307, 26, 699, 47, 496, 32, 699, 30, 3882, 47, 2895, 27, 291, 6207, 26, 1357, 30, 537, 81, 496, 27, 291, 415, 2354, 44, 324, 442, 5668, 26, 1978, 27, 291, 442, 5668, 32087, 284, 1619, 280, 301, 291, 313, 599, 563, 2234, 30, 291, 313, 1311, 563, 1780, 284, 320, 284, 442, 2908, 26, 1357, 30, 313, 599, 32, 916, 392, 1619, 27, 203, 589, 20641, 81, 1071, 26, 1357, 711, 284, 20641, 26, 1357, 27, 284, 442, 5668, 32087, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 9, 8, 9, 7, 8, 8, 8, 7, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 8, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 6, 9, 8, 9, 7, 7, 6, 2, 2, 3, 5, 6, 6, 6, 5, 3, 3, 6, 6, 9, 10, 10, 10, 8, 9, 8, 10, 10, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 8, 10, 10, 4, 4, 6, 6, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 7, 7, 7, 4, 4, 5, 5, 5, 5, 7, 9, 10, 9, 4, 4, 5, 7, 2, 2, 3, 5, 6, 5, 5, 7, 7, 7, 7, 5, 9, 9, 8, 6, 6, 9, 9, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 9, 8, 9, 7, 8, 8, 8, 7, 2, 2, 4, 4, 7, 8, 6, 7, 6, 8, 8, 2, 2, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 6, 9, 8, 9, 7, 7, 6, 2, 2, 3, 5, 6, 6, 6, 5, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 8, 10, 10, 4, 4, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 10, 9, 11, 10, 11, 8, 8, 9, 10, 8, 4, 4, 7, 8, 7, 7, 8, 8, 7, 4, 4, 5, 5, 5, 5, 7, 9, 10, 9, 4, 4, 5, 7, 2, 2, 4, 4, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 5, 5, 2, 2, 3, 5, 6, 5, 5, 7, 7, 7, 7, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 6, 5, 2, 2, 3, 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 ]
[ 0, 0, 1, 2, 1, 4, 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, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 1, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 4, 0, 1, 1, 1, 3, 3, 5, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 5, 5, 1, 2, 3, 5, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 1, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 3, 2, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 3, 3, 6, 6, 6, 6, 0, 1, 1, 1, 3, 3, 7, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 4, 4, 6, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 1, 1, 1, 4, 4, 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 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 2322, 203, 1270, 44, 284, 645, 42406, 1188, 9637, 35, 203, 7343, 29986, 44, 284, 645, 9637, 1188, 9637, 619, 9637, 35, 203, 1270, 44, 284, 645, 42406, 1188, 8735, 39, 619, 617, 954, 39, 203, 7343, 29986, 44, 284, 1596, 44, 291, 645, 8735, 39, 1188, 8735, 39, 619, 617, 954, 39, 284, 2940, 29986, 44, 291, 617, 954, 39, 280, 1665, 203, 1070, 28520, 32, 4275, 1188, 35603, 924, 203, 1070, 28520, 32, 1647, 81, 2304, 1114, 878, 1188, 372, 81, 3651, 203, 589, 14706, 81, 2888, 81, 101, 26, 605, 30, 3677, 81, 1298, 47, 5567, 35, 711, 284, 5881, 2744, 312, 14706, 3677, 9960, 19272, 432, 706, 32, 5881, 284, 19272, 280, 3677, 81, 1298, 346, 284, 706, 280, 372, 81, 3651, 26, 605, 30, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 683, 284, 19272, 32, 1877, 26, 605, 27, 284, 442, 19272, 32, 6949, 13995, 346, 203, 589, 14706, 81, 2888, 26, 3607, 30, 3677, 81, 1298, 47, 5567, 35, 711, 284, 5881, 2744, 312, 14706, 3677, 9960, 19272, 432, 2196, 803, 30, 1665, 415, 803, 438, 646, 5024, 556, 312, 3362, 32, 5881, 284, 415, 646, 2322, 32, 983, 32, 4658, 26, 452, 81, 3651, 26, 3607, 30, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 2847, 556, 2322, 32, 983, 32, 34103, 26, 452, 81, 3651, 26, 3607, 30, 3878, 1057, 5848, 41095, 291, 442, 1665, 284, 19272, 280, 3677, 81, 1298, 346, 284, 2163, 891, 280, 225, 40, 38, 319, 225, 35, 34, 36, 38, 284, 1596, 44, 291, 44705, 280, 2156, 26, 452, 81, 3651, 26, 3607, 30, 3878, 1057, 8841, 32062, 81, 271, 81, 5848, 1425, 330, 4506, 683, 291, 2163, 280, 44705, 32, 850, 26, 1521, 891, 27, 291, 2218, 2163, 44, 324, 19272, 32, 1877, 26, 1521, 27, 324, 2163, 280, 44705, 32, 850, 26, 1521, 891, 27, 291, 44705, 32, 2679, 346, 284, 2940, 45338, 619, 484, 44, 291, 3636, 35603, 924, 440, 731, 2218, 23969, 322, 803, 904, 101, 30, 1048, 1597, 44, 904, 101, 20, 904, 308, 3607, 30, 484, 490, 284, 442, 19272, 32, 6949, 13995, 346, 203, 20967, 280, 14706, 81, 2888, 203, 20967, 81, 101, 280, 14706, 81, 2888, 81, 101, 203, 589, 8735, 39, 101, 26, 605, 711, 284, 415, 646, 617, 954, 39, 44, 291, 3636, 10091, 463, 5108, 39, 646, 3304, 32, 225, 7228, 422, 22065, 3974, 328, 506, 24013, 2926, 683, 284, 442, 14706, 81, 2888, 81, 101, 26, 605, 30, 617, 954, 39, 27, 203, 589, 8735, 39, 26, 3607, 711, 284, 415, 646, 617, 954, 39, 44, 291, 3636, 10091, 463, 5108, 39, 646, 3304, 32, 225, 7228, 422, 22065, 3974, 328, 506, 24013, 2926, 683, 284, 442, 14706, 81, 2888, 26, 3607, 30, 617, 954, 39, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 5, 1, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 6, 0, 1, 1, 1, 1, 3, 3, 3, 6, 4, 4, 5, 5, 1, 2, 2, 2, 2, 2, 4, 4, 4, 6, 8, 6, 6, 9, 7, 7, 8, 8, 4, 4, 5, 5, 5, 5, 9, 9, 8, 8, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 6, 6, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 8, 9, 7, 8, 7, 9, 9, 9, 9, 10, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 4, 4, 7, 8, 6, 7, 6, 8, 8, 8, 8, 9, 8, 8, 9, 11, 11, 3, 3, 5, 2, 2, 4, 4, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 5, 5, 6, 6, 6, 6, 2, 2, 3, 3, 3, 6, 6, 8, 10, 10, 10, 10, 11, 10, 10, 11, 13, 13, 13, 13, 13, 13, 13, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 9, 9, 8, 4, 4, 5, 5, 5, 5, 9, 10, 9, 10, 9, 6, 6, 8, 8, 10, 11, 10, 11, 11, 10, 4, 4, 7, 8, 7, 3, 3, 4, 5, 5, 4, 4, 4, 6, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 10, 10, 2, 2, 3, 5, 6, 6, 5, 0, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 5, 5, 5, 6, 5, 5, 6, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 2, 0, 4, 4, 4, 4, 0, 0, 0, 0, 3, 3, 2, 2, 4, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 2, 2, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 4, 0, 2, 2, 1, 0, 8, 8, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 1, 1, 0, 4, 4, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 4, 4, 5, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3195, 2576, 71, 81, 17944, 6535, 280, 308, 284, 308, 1808, 1026, 5384, 36, 32, 36, 36, 39, 37, 38, 30, 225, 37, 32, 37, 39, 38, 37, 40, 30, 225, 36, 32, 41, 41, 40, 37, 41, 30, 225, 38, 32, 38, 38, 35, 43, 34, 30, 225, 38, 32, 38, 40, 40, 42, 39, 30, 225, 41, 32, 40, 37, 40, 43, 43, 30, 225, 36, 32, 38, 37, 38, 35, 36, 30, 225, 37, 32, 37, 38, 38, 42, 35, 30, 275, 35, 32, 38, 34, 41, 37, 37, 30, 225, 35, 32, 40, 38, 38, 40, 40, 30, 225, 36, 32, 35, 36, 40, 43, 40, 30, 225, 36, 32, 37, 38, 40, 37, 40, 30, 225, 36, 32, 41, 41, 34, 40, 34, 30, 225, 35, 32, 43, 40, 39, 37, 37, 30, 225, 35, 32, 43, 37, 40, 36, 36, 30, 225, 35, 32, 34, 39, 38, 35, 38, 30, 275, 35, 32, 37, 43, 43, 43, 34, 30, 225, 36, 32, 41, 37, 38, 42, 35, 30, 225, 36, 32, 43, 43, 41, 42, 38, 30, 225, 37, 32, 36, 37, 42, 34, 36, 30, 225, 35, 32, 41, 36, 40, 41, 43, 30, 225, 35, 32, 42, 42, 42, 43, 34, 30, 225, 35, 32, 43, 42, 43, 41, 37, 30, 225, 35, 32, 38, 43, 43, 34, 35, 30, 275, 34, 32, 43, 34, 34, 43, 35, 30, 225, 35, 32, 43, 38, 36, 34, 34, 5437, 34, 32, 37, 41, 42, 34, 38, 5437, 34, 32, 35, 39, 41, 35, 34, 30, 225, 37, 32, 36, 34, 35, 40, 36, 30, 225, 35, 32, 43, 39, 34, 41, 43, 30, 225, 35, 32, 43, 35, 36, 34, 34, 30, 225, 36, 32, 39, 34, 38, 42, 41, 30, 275, 36, 32, 38, 38, 37, 43, 38, 30, 225, 36, 32, 42, 36, 38, 38, 34, 30, 225, 37, 32, 42, 38, 37, 40, 36, 30, 225, 34, 32, 40, 34, 37, 40, 39, 30, 225, 34, 32, 39, 42, 37, 34, 41, 30, 225, 36, 32, 34, 37, 42, 40, 35, 30, 225, 35, 32, 35, 38, 36, 41, 35, 30, 225, 34, 32, 41, 43, 43, 34, 42, 30, 275, 34, 32, 43, 38, 36, 40, 34, 30, 225, 35, 32, 40, 40, 37, 43, 42, 30, 225, 35, 32, 34, 42, 41, 40, 34, 30, 225, 35, 32, 36, 34, 34, 42, 41, 30, 225, 35, 32, 35, 37, 35, 38, 41, 30, 225, 35, 32, 43, 41, 42, 34, 38, 30, 225, 35, 32, 38, 34, 34, 42, 40, 30, 225, 36, 32, 34, 40, 37, 39, 39, 30, 275, 35, 32, 39, 43, 36, 40, 34, 30, 225, 35, 32, 38, 39, 39, 42, 43, 30, 225, 36, 32, 39, 40, 38, 37, 42, 30, 225, 37, 32, 36, 38, 34, 43, 39, 30, 225, 36, 32, 43, 39, 40, 36, 41, 30, 225, 35, 32, 42, 39, 35, 39, 42, 30, 225, 35, 32, 40, 34, 41, 41, 34, 30, 225, 34, 32, 40, 43, 43, 36 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 3, 3, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 5, 5, 5, 5, 5, 5, 5, 1, 1, 7, 7, 7, 7, 7, 7, 7, 1, 1, 9, 9, 9, 9, 9, 9, 9, 1, 1, 11, 11, 11, 11, 11, 11, 11, 1, 1, 13, 13, 13, 13, 13, 13, 13, 1, 1, 15, 15, 15, 15, 15, 15, 15, 1, 1, 17, 17, 17, 17, 17, 17, 17, 1, 1, 19, 19, 19, 19, 19, 19, 19, 1, 1, 21, 21, 21, 21, 21, 21, 21, 1, 1, 23, 23, 23, 23, 23, 23, 23, 1, 1, 25, 25, 25, 25, 25, 25, 25, 1, 1, 27, 27, 27, 27, 27, 27, 27, 1, 1, 29, 29, 29, 29, 29, 29, 29, 1, 1, 31, 31, 31, 31, 31, 31, 31, 1, 1, 33, 33, 33, 33, 33, 33, 33, 1, 1, 35, 35, 35, 35, 35, 35, 35, 1, 1, 37, 37, 37, 37, 37, 37, 37, 1, 1, 39, 39, 39, 39, 39, 39, 39, 1, 1, 41, 41, 41, 41, 41, 41, 41, 1, 1, 43, 43, 43, 43, 43, 43, 43, 1, 1, 45, 45, 45, 45, 45, 45, 45, 1, 1, 47, 47, 47, 47, 47, 47, 47, 1, 1, 49, 49, 49, 49, 49, 49, 49, 1, 1, 51, 51, 51, 51, 51, 51, 51, 1, 1, 53, 53, 53, 53, 53, 53, 53, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 59, 59, 59, 59, 59, 59, 59, 1, 1, 61, 61, 61, 61, 61, 61, 61, 1, 1, 63, 63, 63, 63, 63, 63, 63, 1, 1, 65, 65, 65, 65, 65, 65, 65, 1, 1, 67, 67, 67, 67, 67, 67, 67, 1, 1, 69, 69, 69, 69, 69, 69, 69, 1, 1, 71, 71, 71, 71, 71, 71, 71, 1, 1, 73, 73, 73, 73, 73, 73, 73, 1, 1, 75, 75, 75, 75, 75, 75, 75, 1, 1, 77, 77, 77, 77, 77, 77, 77, 1, 1, 79, 79, 79, 79, 79, 79, 79, 1, 1, 81, 81, 81, 81, 81, 81, 81, 1, 1, 83, 83, 83, 83, 83, 83, 83, 1, 1, 85, 85, 85, 85, 85, 85, 85, 1, 1, 87, 87, 87, 87, 87, 87, 87, 1, 1, 89, 89, 89, 89, 89, 89, 89, 1, 1, 91, 91, 91, 91, 91, 91, 91, 1, 1, 93, 93, 93, 93, 93, 93, 93, 1, 1, 95, 95, 95, 95, 95, 95, 95, 1, 1, 97, 97, 97, 97, 97, 97, 97, 1, 1, 99, 99, 99, 99, 99, 99, 99, 1, 1, 101, 101, 101, 101, 101, 101, 101, 1, 1, 103, 103, 103, 103, 103, 103, 103, 1, 1, 105, 105, 105, 105, 105, 105, 105, 1, 1, 107, 107, 107, 107, 107, 107, 107, 1, 1, 109, 109, 109, 109, 109, 109, 109, 1, 1, 111, 111, 111, 111, 111, 111, 111, 1, 1, 113, 113, 113, 113, 113, 113 ]
[ 465, 13625, 203, 465, 6436, 203, 465, 2322, 203, 465, 12643, 203, 465, 12870, 81, 5379, 203, 1070, 3619, 81, 7672, 81, 6569, 1188, 12259, 203, 1070, 41896, 81, 10546, 81, 8442, 81, 3922, 32, 1163, 1188, 3383, 203, 1070, 41896, 81, 10546, 81, 8442, 81, 3922, 32, 5114, 7250, 1728, 81, 28803, 1173, 1662, 32, 25882, 1188, 308, 284, 622, 81, 5114, 7250, 1728, 81, 28803, 1173, 1662, 81, 605, 81, 1744, 27, 203, 1070, 41896, 81, 10546, 81, 8442, 81, 3922, 32, 605, 81, 46212, 1188, 622, 81, 271, 81, 6309, 81, 853, 203, 1163, 81, 3922, 280, 3383, 26, 284, 1359, 81, 2536, 81, 5660, 280, 2322, 32, 983, 32, 2524, 26, 4652, 81, 5379, 32, 371, 81, 13081, 463, 4412, 31, 10546, 31, 8442, 31, 3922, 1814, 2645, 27, 284, 829, 203, 589, 1974, 81, 1055, 81, 1170, 81, 4502, 81, 426, 81, 29278, 299, 81, 266, 81, 20065, 26, 1055, 81, 1170, 81, 4502, 81, 426, 30, 17568, 711, 284, 4118, 81, 20065, 280, 12259, 346, 284, 1596, 44, 291, 9810, 280, 4118, 81, 20065, 32, 2208, 26, 20065, 27, 284, 2940, 3268, 30, 484, 44, 291, 1459, 17568, 291, 3636, 26, 87, 27, 284, 17568, 81, 9578, 280, 9810, 32, 9578, 346, 284, 6339, 280, 5436, 26, 291, 308, 20065, 81, 4502, 30, 5053, 687, 950, 17568, 81, 4502, 1748, 436, 17568, 81, 4502, 328, 17568, 81, 9578, 291, 829, 284, 1650, 81, 1170, 81, 4502, 81, 426, 32, 1877, 26, 3527, 27, 284, 442, 1650, 81, 1170, 81, 4502, 81, 426, 203, 589, 1487, 81, 1055, 81, 1170, 81, 4502, 81, 426, 26, 20065, 81, 1170, 81, 4502, 81, 426, 30, 3193, 81, 36, 81, 20065, 81, 1170, 81, 4502, 81, 426, 280, 1665, 711, 284, 1650, 81, 1170, 81, 4502, 81, 426, 280, 5436, 346, 284, 436, 2677, 81, 426, 30, 17568, 328, 17568, 81, 1170, 81, 4502, 81, 426, 32, 40957, 2262, 291, 415, 646, 17568, 44, 324, 4036, 291, 1650, 81, 1170, 81, 4502, 81, 426, 77, 4502, 81, 426, 79, 280, 301, 324, 330, 687, 950, 1665, 30, 324, 330, 20065, 950, 17568, 30, 324, 320, 291, 415, 6937, 26, 20065, 30, 1149, 711, 324, 436, 3982, 81, 20065, 328, 17568, 44, 400, 1650, 81, 1170, 81, 4502, 81, 426, 280, 1974, 81, 1055, 81, 1170, 81, 4502, 81, 426, 81, 29278, 299, 81, 266, 81, 20065, 26, 528, 1650, 81, 1170, 81, 4502, 81, 426, 30, 3982, 81, 20065, 710, 20065, 3490, 291, 813, 44, 324, 1650, 81, 1170, 81, 4502, 81, 426, 280, 1974, 81, 1055, 81, 1170, 81, 4502, 81, 426, 81, 29278, 299, 81, 266, 81, 20065, 26, 1055, 81, 1170, 81, 4502, 81, 426, 30, 17568, 27, 284, 415, 3193, 81, 36, 81, 20065, 81, 1170, 81, 4502, 81, 426, 438, 646, 1665, 44, 291, 3193, 81, 36, 81, 1055, 81, 1170, 81, 4502, 81, 426, 280, 5436, 346, 291, 436, 2677, 81, 426, 30, 17568, 328, 3193, 81, 36, 81, 20065, 81, 1170, 81, 4502, 81, 426, 32, 40957, 2262, 324, 3193, 81, 36, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 6, 5, 5, 8, 9, 7, 8, 7, 11, 11, 11, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 7, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 2, 2, 3, 3, 3, 6, 6, 9, 9, 8, 9, 8, 9, 8, 3, 3, 4, 4, 4, 4, 4, 4, 6, 5, 5, 7, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 6, 6, 8, 8, 8, 7, 7, 11, 11, 9, 10, 10, 8, 6, 7, 8, 8, 7, 7, 8, 8, 6, 6, 2, 2, 6, 6, 6, 6, 6, 6, 5, 6, 5, 6, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 6, 2, 2, 3, 5, 5, 4, 4, 3, 3, 6, 6, 6, 6, 6, 6, 5, 6, 5, 3, 3, 5, 6, 5, 5, 5, 4, 4, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 6, 6, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 7, 7, 7, 4, 4, 5, 7, 8, 7, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 7, 7, 11, 11, 11, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 12, 12, 14, 14, 13, 15, 15, 5, 5, 6, 6, 6, 10, 10, 10, 10, 10, 10, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 8, 4, 4, 5, 7, 7, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 5, 5, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 0, 1, 2, 6, 6, 0, 7, 7, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 8, 8, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 10, 10, 0, 0, 0, 0, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 5, 5, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 2, 1, 1, 2, 2, 3, 3, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 5, 5, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 2, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0 ]
[ 1070, 3738, 1188, 4540, 620, 203, 1070, 409, 331, 4280, 1188, 38615, 30, 8759, 203, 589, 12982, 332, 1934, 26, 27680, 711, 284, 665, 1513, 331, 10034, 332, 26, 38001, 711, 291, 436, 5601, 30, 5601, 695, 328, 312, 1339, 3667, 2665, 9818, 3028, 2262, 324, 415, 827, 26, 2437, 695, 27, 438, 4540, 620, 44, 400, 39506, 26, 38001, 30, 5601, 30, 26627, 26, 2437, 695, 490, 20216, 442, 312, 1339, 284, 442, 1513, 331, 10034, 332, 203, 50, 30124, 1934, 26, 7212, 26, 1172, 1057, 7989, 2847, 203, 50, 30124, 1934, 26, 30209, 27, 6797, 203, 823, 11038, 44, 1210, 3701, 665, 1156, 1664, 3207, 784, 30, 636, 30, 10388, 711, 2407, 291, 630, 32, 426, 280, 636, 7693, 291, 630, 32, 7007, 225, 280, 10388, 284, 665, 7624, 13834, 26, 784, 30, 13720, 711, 291, 630, 32, 7007, 10439, 308, 35, 32, 34, 474, 13720, 27, 284, 665, 23129, 26, 784, 711, 291, 442, 630, 32, 426, 32, 2998, 346, 6448, 35, 79, 203, 23239, 280, 11038, 463, 31596, 35142, 370, 225, 39, 34, 34, 34, 34, 27, 203, 101, 340, 280, 11038, 463, 69, 340, 971, 5783, 370, 225, 35, 34, 34, 34, 34, 34, 27, 203, 1216, 26, 23239, 32, 426, 30, 309, 340, 32, 426, 27, 203, 101, 340, 32, 29910, 13834, 13157, 35, 34, 27, 203, 1216, 15339, 32, 36, 88, 25, 904, 309, 340, 32, 7007, 27, 203, 1216, 26, 23239, 32, 20290, 1026, 309, 340, 32, 20290, 1157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 7, 5, 5, 9, 8, 9, 9, 8, 7, 5, 5, 7, 10, 11, 11, 10, 8, 8, 9, 7, 7, 7, 11, 12, 11, 11, 11, 11, 13, 14, 14, 13, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 0, 2, 4, 4, 4, 6, 6, 8, 7, 9, 9, 1, 2, 4, 4, 4, 5, 4, 1, 1, 2, 2, 2, 2, 2, 2, 4, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 4, 8, 9, 7, 7, 5, 5, 5, 8, 9, 7, 7, 7, 3, 3, 4, 5, 5, 6, 5, 5, 5, 4, 4, 8, 9, 7, 7, 10, 10, 10, 9, 9, 8, 3, 3, 4, 5, 6, 5, 4, 4, 6, 10, 11, 9, 10, 9, 7, 9, 7, 0, 3, 2, 2, 4, 6, 6, 6, 4, 5, 5, 5, 5, 5, 4, 0, 3, 3, 2, 2, 4, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 4, 0, 3, 3, 5, 4, 5, 3, 3, 5, 4, 5, 3, 0, 4, 4, 3, 4, 4, 3, 4, 4, 3, 0, 3, 3, 6, 6, 6, 6, 4, 4, 6, 5, 6, 3, 0, 3, 3, 6, 5, 6, 5, 3, 6, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 3, 1, 0, 0, 1, 1, 1, 3, 3, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 4, 4, 4, 0, 2, 0, 0, 0, 3, 3, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 3, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 821, 4775, 203, 465, 1671, 203, 1070, 2322, 1188, 622, 6320, 203, 1070, 13625, 1188, 636, 41766, 203, 1070, 26313, 1188, 7800, 30, 3903, 30, 15105, 203, 465, 11685, 203, 465, 1288, 8737, 203, 9240, 612, 280, 636, 41766, 463, 9240, 612, 370, 2107, 2067, 370, 330, 1567, 3490, 203, 823, 570, 18433, 15395, 3021, 26, 3021, 711, 284, 665, 1156, 1664, 3207, 784, 30, 16951, 711, 291, 2599, 26, 57, 18433, 15395, 3021, 30, 630, 14585, 1664, 16369, 291, 630, 32, 9240, 280, 16951, 291, 630, 32, 19186, 280, 2933, 291, 630, 32, 6320, 280, 622, 6320, 346, 291, 630, 32, 2584, 280, 3903, 346, 284, 665, 1420, 26, 784, 711, 291, 415, 622, 6320, 438, 1665, 556, 622, 6320, 346, 863, 630, 32, 6320, 44, 324, 630, 32, 2584, 32, 470, 346, 324, 442, 291, 1596, 44, 324, 309, 280, 630, 32, 9240, 32, 1819, 32, 4817, 26, 47065, 32, 40365, 27, 324, 309, 32, 2920, 265, 280, 225, 34, 324, 309, 32, 2539, 26, 784, 32, 9240, 32, 965, 27, 291, 8295, 44, 324, 630, 32, 2584, 32, 470, 346, 291, 2218, 2933, 44, 324, 415, 622, 6320, 438, 1665, 556, 622, 6320, 346, 863, 630, 32, 6320, 44, 400, 442, 324, 3124, 280, 309, 32, 12084, 346, 324, 415, 3124, 610, 323, 25, 20804, 950, 400, 1626, 324, 4550, 280, 330, 62, 25, 415, 2069, 26, 2076, 27, 610, 225, 38, 813, 330, 67, 25, 324, 1202, 280, 1671, 32, 15404, 26, 3972, 30, 3124, 5594, 34, 79, 324, 41514, 280, 630, 32, 9240, 32, 8046, 32, 3235, 26, 678, 30, 1665, 27, 324, 415, 41514, 461, 41514, 32, 1567, 44, 400, 41514, 32, 1567, 32, 470, 346, 324, 3555, 41514, 291, 309, 32, 2679, 346, 203, 823, 570, 18433, 15395, 26, 1473, 711, 284, 29284, 280, 1665, 284, 617, 1819, 280, 1665, 284, 617, 809, 280, 1665, 284, 1984, 280, 313, 266, 6789, 555, 978, 47065, 32, 9240, 32, 34, 35, 20, 284, 665, 1156, 1664, 3207, 784, 30, 1619, 47, 2521, 711, 291, 2599, 26, 57, 18433, 15395, 30, 630, 14585, 1664, 16369, 291, 630, 32, 8046, 280, 2149, 291, 630, 32, 6320, 280, 1665, 291, 630, 32, 3426, 280, 1665, 291, 630, 1114, 1819, 280, 1619, 291, 630, 1114, 809, 280, 15105, 346, 291, 630, 1114, 270, 395, 81, 1746, 280, 3177, 291, 630, 1114, 2018, 280, 1665, 291, 630, 1114, 2018, 81, 8458, 280, 1665, 291, 821, 4775, 32, 3317, 26, 784, 1114, 269, 4775, 27, 284, 477, 2433, 284, 665, 1619, 26, 784, 711, 291, 415, 630, 1114, 1819, 438, 1665, 44, 324, 415, 7800, 3667, 1647, 9818, 15990, 463, 300, 654, 7831, 400, 645, 1288, 8737, 1188, 9733, 400, 630, 1114, 1819, 280, 9733, 32, 1222, 346, 324, 813, 44, 400, 630, 1114, 1819, 280, 1288, 8737, 32, 1222, 346, 291, 442, 630, 1114, 1819, 284, 477, 1819, 32, 16527, 284, 665, 1619, 26, 784, 30, 3692, 711, 291, 415, 630, 32, 297, 81, 19145, 2262, 324, 415, 630, 32, 8046, 44, 400, 11685, 32, 8447, 440, 46939, 4256, 16951, 1619 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 3, 3, 2, 2, 4, 4, 6, 6, 6, 4, 7, 7, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 4, 4, 7, 8, 6, 6, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 7, 7, 6, 6, 9, 9, 7, 7, 8, 9, 5, 5, 5, 10, 11, 9, 10, 9, 6, 6, 4, 4, 5, 5, 5, 8, 8, 12, 13, 11, 12, 10, 11, 10, 12, 11, 12, 10, 6, 6, 9, 10, 10, 8, 8, 9, 6, 6, 9, 10, 9, 12, 11, 12, 10, 11, 9, 5, 5, 6, 6, 6, 11, 12, 10, 11, 10, 4, 4, 5, 5, 5, 5, 7, 10, 9, 9, 8, 8, 11, 11, 9, 9, 10, 11, 7, 7, 7, 6, 6, 8, 8, 10, 11, 10, 6, 6, 7, 8, 8, 10, 10, 10, 7, 7, 6, 6, 8, 8, 11, 11, 9, 9, 12, 13, 12, 10, 10, 11, 9, 9, 11, 11, 6, 6, 8, 8, 11, 12, 11, 12, 11, 11, 11, 10, 9, 6, 6, 8, 8, 12, 13, 11, 12, 10, 11, 10, 11, 10, 10, 10, 6, 6, 7, 8, 8, 9, 10, 7, 7, 7, 12, 13, 11, 12, 11, 6, 6, 7, 4, 4, 7, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 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, 4, 4, 7, 8, 6, 6, 8, 4, 4, 7, 8, 8, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 8, 7, 8, 7, 9, 8, 9, 9, 7, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 9, 7, 7, 6, 6, 6, 8, 11, 12, 12, 11, 10, 12, 12, 12, 8, 8, 10, 12, 10, 10, 9, 9, 12, 13, 11, 11, 13, 14, 13, 8, 8, 9, 9, 9, 13, 14, 12, 12, 15, 14, 15, 14, 5, 5, 6, 7, 8, 2, 2, 6, 5, 6, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 6, 8, 9, 9, 9, 8, 6, 6, 8, 9, 10, 8, 8, 8, 12, 13, 12, 14, 14, 14, 14 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 3, 1, 2, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 3, 3, 4, 4, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 3, 3, 3, 0, 2, 0, 2, 1, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 2, 1, 3, 3, 2, 1, 1, 0, 1, 2, 2, 2, 3, 3, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 6, 1, 1, 2, 2, 6, 6, 6, 0, 2, 0, 2, 1, 3, 3, 7, 4, 4, 0, 2, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 2, 3, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 0, 2, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 1, 5, 5, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 0, 0, 0, 2, 1, 0, 0, 4, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 2, 4, 4, 0, 1, 2, 6, 6, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1 ]
[ 1070, 28071, 32, 3483, 1188, 4308, 203, 1070, 28071, 32, 3483, 1188, 2869, 203, 1070, 28071, 32, 26878, 32, 2282, 32, 33170, 2304, 1188, 617, 203, 1070, 28071, 32, 26878, 32, 2282, 1188, 1245, 619, 5741, 203, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 26410, 81, 6585, 45421, 280, 3177, 203, 1270, 44, 284, 1188, 6382, 284, 4085, 22415, 81, 6585, 45421, 280, 2933, 203, 7343, 29986, 44, 284, 6382, 280, 1665, 203, 823, 9537, 2879, 26, 3142, 32, 2291, 711, 284, 4308, 81, 3968, 280, 301, 291, 330, 4205, 81, 7986, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 5203, 30, 324, 30121, 11652, 19249, 6998, 308, 1170, 1244, 322, 2196, 6382, 19249, 330, 1090, 330, 11104, 526, 1654, 27, 1425, 324, 1244, 47, 2521, 291, 2588, 291, 330, 12256, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 5203, 30, 324, 30121, 25891, 432, 322, 3851, 1425, 324, 1244, 35911, 291, 2588, 291, 330, 496, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 5203, 30, 324, 30121, 8650, 556, 28581, 1425, 324, 1244, 35911, 291, 2588, 291, 330, 5566, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 13773, 30, 324, 30121, 5017, 2723, 308, 3644, 27, 1425, 324, 1244, 47, 34, 291, 2588, 291, 330, 9959, 81, 21633, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 24843, 30, 324, 30121, 14330, 372, 322, 322, 2164, 6945, 6216, 1509, 1425, 324, 1244, 47, 2700, 291, 2588, 291, 330, 9959, 81, 9362, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 24843, 30, 324, 30121, 14330, 372, 322, 2164, 6945, 6216, 1688, 1425, 324, 1244, 47, 1815, 291, 2588, 291, 330, 9959, 81, 8228, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 24843, 30, 324, 30121, 14330, 372, 322, 2164, 6945, 6216, 1048, 1425, 324, 1244, 47, 1815, 291, 2588, 291, 330, 625, 81, 16452, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 4613, 30, 324, 30121, 12364, 33, 20971, 14844, 7996, 1425, 324, 1244, 47, 2521, 291, 2588, 291, 330, 7242, 26864, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 24843, 30, 324, 30121, 6601, 13969, 31310, 1425, 324, 1244, 47, 2700, 291, 2588, 291, 330, 8364, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 24843, 30, 324, 30121, 24860, 312, 26600, 31, 8364, 1425, 324, 1244, 47, 2700, 291, 2588, 291, 330, 1676, 81, 21633, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 24843, 30, 324, 30121, 2961, 24621, 1425, 324, 1244, 47, 2700, 291, 2588, 291, 330, 21633, 81, 8232, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 24843, 30, 324, 30121, 2797, 861, 30, 4230, 24621, 2685, 322, 225, 35, 13076, 2043, 23314, 101, 1425, 324, 1244, 47, 2700, 291, 2588, 291, 330, 2121, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 4613, 30, 324, 30121, 885, 4706, 4886, 1425, 324, 1244, 47, 2521, 291, 2588, 291, 330, 3515, 950, 4308, 32, 3694, 26, 324, 4308, 32, 3694, 32, 4613, 30, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 2, 2, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 2, 2, 5, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 5, 5, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 8, 8, 9, 10, 8, 8, 5, 5, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 12, 12, 8, 8, 9, 8, 8, 5, 5, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 12, 8, 8, 9, 8, 8, 5, 5, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 12, 12, 12, 8, 8, 9, 10, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 12, 12, 13, 12, 12, 12, 8, 8, 9, 10, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 12, 13, 12, 12, 12, 8, 8, 9, 10, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 12, 13, 12, 12, 12, 8, 8, 9, 10, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 12, 12, 12, 8, 8, 9, 10, 8, 8, 5, 5, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 12, 8, 8, 9, 10, 8, 8, 5, 5, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 12, 12, 12, 8, 8, 9, 10, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 8, 8, 9, 10, 8, 8, 5, 5, 8, 8, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 9, 10, 8, 8, 5, 5, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8, 8, 12, 12, 12, 12, 8, 8, 9, 10, 8, 8, 5, 5, 8, 8, 6, 8, 9, 8, 8, 8, 10, 11, 9, 10, 8, 8 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 6, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 2, 2, 0, 0, 0, 0, 0, 0, 6, 3, 3, 3, 3, 3, 0, 0, 0, 7, 7, 1, 2, 0, 1, 2, 2, 7, 7, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 2, 2, 1, 2, 3, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 2, 2, 1, 2, 5, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 2, 2, 1, 2, 7, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 2, 2, 1, 1, 1, 2, 9, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 5, 2, 1, 1, 2, 2, 1, 1, 1, 2, 11, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 5, 2, 1, 1, 2, 2, 1, 1, 1, 2, 13, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 5, 2, 1, 1, 2, 2, 1, 1, 1, 2, 15, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 2, 2, 1, 1, 2, 17, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 2, 2, 1, 2, 19, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 2, 2, 1, 1, 1, 2, 21, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 2, 2, 1, 1, 1, 2, 23, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 2, 2, 1, 2, 25, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 1, 1, 2, 2, 1, 2, 27, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1 ]
[ 1070, 35674, 1188, 47997, 203, 465, 1133, 203, 465, 2322, 203, 1070, 35674, 32, 35296, 32, 2282, 32, 3494, 1188, 20257, 203, 1070, 35674, 32, 35296, 32, 2282, 32, 1141, 81, 28475, 1188, 5245, 828, 1907, 203, 2895, 280, 2322, 32, 23407, 463, 4975, 25461, 683, 203, 11226, 81, 2184, 280, 47997, 32, 18098, 2031, 346, 203, 11226, 81, 2184, 32, 669, 81, 2669, 12664, 1347, 31, 18138, 683, 203, 11226, 81, 2184, 32, 7003, 81, 2645, 280, 540, 25, 53, 3491, 5747, 11094, 308, 106, 42, 40, 5421, 7732, 78, 18098, 78, 2727, 78, 11226, 32, 8022, 25, 203, 5350, 280, 47997, 32, 18098, 463, 53, 3491, 36228, 1967, 2365, 370, 18923, 81, 2184, 47, 11226, 81, 2184, 27, 203, 5350, 32, 371, 463, 641, 555, 1499, 32, 18890, 32, 508, 683, 203, 1216, 5398, 32, 1637, 81, 1855, 203, 1548, 280, 5398, 32, 1809, 81, 2543, 81, 1170, 81, 2142, 81, 426, 440, 1548, 657, 203, 1216, 3361, 203, 1548, 32, 2714, 81, 3494, 26, 5037, 32, 11422, 474, 330, 101, 683, 203, 1711, 828, 1907, 26, 5350, 547, 678, 81, 1746, 26, 5037, 32, 11422, 30, 3361, 547, 2714, 81, 3494, 463, 101, 1814, 678, 81, 417, 26, 5037, 32, 11422, 27, 203, 1003, 32, 7840, 26, 35, 34, 27, 203, 5350, 32, 2679, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 5, 4, 0, 4, 4, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 0, 4, 4, 4, 3, 4, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 5, 6, 6, 6, 4, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 3, 3, 3, 0, 3, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 6, 6, 0, 1, 1, 0, 4, 3, 4, 4, 4, 3, 6, 5, 6, 4, 4, 6, 6, 0, 9, 9, 9, 9, 10, 9, 8, 8, 8, 7, 9, 8, 9, 7, 7, 7, 6, 6, 6, 5, 7, 7, 4, 4, 4, 3, 5, 4, 5, 3, 0, 4, 3, 4, 3, 4, 4, 3, 0, 4, 3, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 6, 6, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 13, 13, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]
[ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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, 1671, 203, 465, 1156, 14842, 505, 203, 505, 464, 505, 280, 3037, 924, 1461, 1676, 1461, 1676, 4426, 1446, 203, 823, 3081, 26, 984, 711, 284, 3097, 203, 81, 51, 2952, 53, 81, 1648, 280, 225, 34, 9773, 36, 42, 34, 39, 35, 38, 34, 62, 647, 203, 81, 5961, 668, 280, 330, 1197, 3895, 370, 330, 6585, 370, 330, 46431, 370, 330, 16902, 54, 370, 766, 397, 330, 1893, 2743, 370, 330, 2474, 370, 330, 9036, 370, 15584, 85, 27, 5769, 330, 927, 2576, 25, 203, 589, 617, 850, 81, 3222, 26, 761, 711, 284, 1596, 44, 291, 442, 1671, 32, 15404, 463, 48, 94, 370, 803, 32, 850, 26, 38, 29856, 34, 79, 284, 2940, 1671, 32, 731, 44, 291, 3636, 21008, 924, 203, 589, 617, 850, 81, 15473, 26, 761, 711, 284, 1596, 44, 291, 442, 1671, 32, 15404, 463, 48, 62, 370, 803, 32, 850, 26, 38, 29856, 34, 79, 284, 2940, 1671, 32, 731, 44, 291, 3636, 21008, 924, 203, 589, 617, 850, 81, 4021, 26, 761, 711, 284, 1596, 44, 291, 442, 1671, 32, 15404, 463, 48, 90, 370, 803, 32, 850, 26, 36, 29856, 34, 79, 284, 2940, 1671, 32, 731, 44, 291, 3636, 21008, 924, 203, 589, 617, 850, 81, 800, 26, 761, 711, 284, 3104, 280, 16167, 26, 761, 32, 850, 26, 35, 490, 284, 415, 3104, 610, 225, 34, 44, 291, 706, 280, 4247, 284, 813, 44, 291, 706, 280, 803, 32, 850, 26, 1322, 27, 284, 415, 3104, 549, 225, 35, 610, 225, 34, 44, 291, 11638, 280, 803, 32, 850, 26, 35, 27, 284, 442, 706, 203, 81, 22464, 3055, 81, 2715, 280, 225, 35, 32, 41, 43, 41, 40, 43, 37, 35, 37, 38, 42, 40, 36, 37, 35, 87, 29, 37, 34, 42, 225, 203, 589, 617, 850, 81, 1808, 26, 88, 711, 3701, 2910, 267, 280, 617, 850, 81, 4021, 26, 88, 27, 3701, 2596, 280, 225, 35, 284, 415, 2910, 267, 333, 225, 34, 44, 291, 2596, 280, 429, 35, 291, 2910, 267, 280, 2910, 267, 474, 225, 34, 106, 42, 34, 34, 34, 284, 10320, 692, 280, 617, 850, 81, 15473, 26, 88, 27, 3701, 598, 95, 692, 280, 617, 850, 81, 15473, 26, 88, 27, 3701, 415, 2910, 267, 610, 10320, 692, 610, 598, 95, 692, 610, 225, 34, 44, 291, 296, 280, 225, 34, 32, 34, 284, 4348, 2910, 267, 610, 225, 34, 106, 41, 11375, 44, 291, 296, 280, 617, 22464, 3055, 81, 2715, 284, 813, 44, 291, 2910, 267, 280, 2910, 267, 429, 225, 35, 40, 37, 42, 37, 291, 296, 280, 308, 45312, 692, 319, 225, 34, 106, 35, 34, 34, 34, 34, 34, 34, 34, 34, 62, 474, 598, 95, 692, 27, 319, 13106, 26, 36, 32, 34, 30, 2910, 267, 429, 225, 40, 37, 27, 284, 442, 2596, 319, 296, 203, 589, 617, 1821, 81, 4021, 26, 88, 30, 816, 711, 284, 296, 32, 1821, 26, 1167, 32, 2423, 463, 48, 90, 370, 816, 490, 203, 589, 617, 1821, 81, 3222, 26, 88, 30, 816, 711, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 8, 9, 8, 10, 10, 10, 8, 10, 11, 10, 11, 10, 7, 6, 3, 3, 4, 5, 6, 4, 4, 4, 6, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 8, 9, 8, 10, 10, 10, 8, 10, 11, 10, 11, 10, 7, 6, 3, 3, 4, 5, 6, 4, 4, 4, 6, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 8, 9, 8, 10, 10, 10, 8, 10, 11, 10, 11, 10, 7, 6, 3, 3, 4, 5, 6, 4, 4, 4, 6, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 9, 8, 9, 8, 9, 8, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 3, 3, 4, 4, 4, 7, 7, 9, 10, 9, 10, 9, 2, 2, 3, 5, 5, 6, 4, 4, 5, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 2, 2, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 4, 4, 5, 2, 2, 3, 5, 4, 4, 5, 3, 3, 3, 6, 6, 8, 4, 4, 7, 6, 6, 8, 7, 7, 8, 8, 8, 8, 8, 8, 2, 2, 5, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 3, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 3, 3, 3, 6, 6, 7, 7, 7, 3, 3, 4, 6, 5, 5, 6, 6, 6, 6, 4, 4, 4, 7, 7, 8, 8, 8, 8, 3, 3, 4, 4, 4, 8, 7, 7, 9, 8, 8, 9, 9, 9, 9, 9, 5, 5, 7, 7, 12, 12, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 8, 8, 10, 11, 11, 11, 10, 10, 12, 11, 11, 12, 12, 10, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 6, 5, 8, 7, 8, 7, 9, 9, 9, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 3, 3, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 3, 1, 2, 3, 3, 3, 0, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 3, 1, 2, 3, 3, 3, 0, 1, 0, 8, 8, 1, 1, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 3, 1, 2, 3, 3, 3, 0, 1, 0, 9, 9, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 1, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 4, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 11, 11, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 5, 0, 1, 1, 2, 1, 1, 4, 4, 1, 1, 6, 5, 5, 5, 0, 0, 2, 2, 2, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 4, 4, 4, 0, 0, 2, 2, 2, 2, 5, 5, 5, 5, 5, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 2, 1, 4, 4, 6, 1, 1, 0, 12, 12, 1, 1, 1, 2, 1, 2, 2, 2, 12, 12, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 13, 13, 1, 1, 1, 2, 1, 2, 2, 2, 13 ]
[ 1070, 8527, 32, 2957, 32, 11400, 1188, 15103, 203, 1070, 8527, 32, 2957, 32, 11400, 1188, 1984, 203, 1070, 2156, 3034, 81, 7854, 32, 44790, 32, 2250, 32, 3560, 81, 363, 81, 4373, 5327, 284, 7663, 81, 6332, 1188, 11875, 203, 965, 15719, 280, 15103, 26, 284, 2550, 284, 1984, 26, 100, 28249, 1297, 9764, 370, 11875, 32, 1922, 1074, 32, 302, 81, 1071, 1026, 636, 1057, 1297, 1425, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4373, 81, 1363, 81, 314, 8828, 80, 33, 45760, 37143, 291, 11875, 32, 5287, 1074, 32, 302, 81, 1071, 1026, 291, 636, 1057, 5110, 1425, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4373, 81, 1363, 81, 314, 8828, 80, 33, 45760, 669, 81, 5275, 9764, 370, 291, 11875, 32, 1103, 3842, 1074, 32, 302, 81, 1071, 1026, 291, 636, 1057, 669, 81, 5275, 1425, 284, 1984, 26, 100, 28249, 12390, 66, 46, 4373, 81, 1363, 81, 314, 8828, 80, 33, 45760, 1877, 9764, 370, 291, 11875, 32, 2333, 1074, 32, 302, 81, 1071, 1026, 291, 636, 1057, 1877, 683, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 1, 1, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 8, 6, 9, 10, 10, 8, 9, 9, 9, 8, 6, 7, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 6, 6, 7, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 6, 6, 7, 9, 9, 9, 9, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 10, 10, 8, 9, 9, 9, 8, 6, 6, 7, 9, 9, 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 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 1, 8, 1, 9, 9, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 5, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 5, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 465, 802, 203, 465, 17787, 203, 1070, 18105, 612, 1188, 31284, 953, 7870, 203, 1070, 7138, 1188, 7138, 30, 2340, 203, 1070, 31074, 1188, 8241, 203, 1070, 10381, 93, 39583, 1114, 8524, 1188, 3850, 81, 3651, 30, 1344, 81, 681, 30, 18394, 2338, 30, 629, 81, 452, 81, 2263, 30, 766, 275, 2155, 81, 681, 30, 372, 81, 3723, 203, 81, 4073, 280, 1665, 203, 81, 2951, 81, 2238, 280, 18394, 2338, 346, 203, 81, 9569, 81, 2613, 280, 31284, 953, 7870, 346, 203, 81, 8836, 81, 655, 280, 2340, 26, 35, 43, 41, 34, 30, 225, 35, 30, 225, 35, 547, 452, 18500, 346, 203, 81, 9534, 81, 2132, 280, 739, 1162, 84, 25, 22171, 370, 323, 25, 983, 370, 323, 25, 3647, 370, 2855, 323, 3464, 648, 31, 381, 370, 323, 1182, 735, 513, 370, 323, 25, 525, 2585, 370, 2855, 323, 4763, 100, 798, 2847, 203, 81, 5734, 81, 9534, 81, 13000, 280, 308, 800, 32, 14510, 81, 30194, 474, 5556, 802, 32, 17980, 474, 5556, 1044, 20, 19, 35130, 23, 24, 38977, 29, 9720, 80, 81, 20572, 112, 44, 1895, 4434, 463, 14510, 683, 203, 81, 9534, 81, 2462, 299, 81, 1110, 280, 301, 284, 323, 1195, 499, 323, 25, 1736, 34, 39, 38, 370, 284, 323, 920, 25, 499, 323, 25, 1736, 34, 41, 37, 370, 284, 323, 7362, 25, 499, 323, 10255, 1492, 370, 284, 323, 25, 1736, 25, 499, 323, 25, 11468, 370, 203, 111, 203, 979, 617, 91, 328, 8241, 26, 3585, 81, 681, 26, 37, 36, 471, 2155, 81, 681, 26, 35, 36, 41, 30, 225, 36, 39, 40, 8531, 284, 617, 9534, 81, 2462, 299, 81, 1110, 77, 410, 81, 452, 81, 2263, 2176, 91, 2177, 280, 2726, 1736, 23, 34, 37, 97, 25, 904, 617, 91, 547, 4434, 463, 23423, 35, 683, 203, 81, 13193, 279, 81, 268, 280, 316, 32, 6993, 26, 84, 25, 11468, 77, 34, 31, 37, 1674, 34, 31, 41, 1674, 34, 31, 41, 26392, 203, 81, 7345, 81, 268, 280, 316, 32, 6993, 26, 84, 44860, 11468, 997, 683, 203, 81, 5734, 81, 9534, 81, 13000, 81, 268, 280, 323, 25, 13644, 105, 78, 86, 19, 21, 23, 24, 6945, 112, 46905, 772, 50, 30, 6563, 78, 17415, 28, 3370, 11466, 78, 5327, 14747, 12302, 5421, 4987, 21194, 4104, 4080, 47, 18262, 203, 81, 9534, 81, 268, 280, 316, 32, 6993, 26, 84, 2993, 12390, 106, 27, 284, 37425, 66, 46, 678, 8828, 80, 47, 44340, 284, 766, 101, 28, 12194, 101, 28, 284, 37425, 66, 46, 695, 48, 291, 11608, 2805, 12456, 11468, 1446, 110, 11468, 32, 4586, 20, 523, 276, 308, 2805, 3424, 10228, 284, 829, 284, 766, 101, 18478, 203, 41135, 203, 823, 617, 9085, 26, 1473, 711, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 330, 1347, 786, 25, 284, 665, 1156, 8920, 3207, 784, 711, 291, 442, 7610, 9785, 25, 203, 81, 9785, 280, 617, 9085, 346, 203, 589, 617, 371, 81, 12757, 26, 2067, 711, 284, 4533, 280, 18623, 26, 2067, 30, 330, 12757, 370, 2830 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 6, 7, 7, 7, 7, 6, 6, 7, 6, 6, 7, 6, 5, 5, 4, 0, 3, 3, 3, 3, 2, 2, 4, 7, 7, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 0, 3, 3, 3, 3, 3, 3, 2, 2, 9, 8, 9, 9, 9, 7, 7, 7, 8, 9, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 4, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 4, 4, 6, 7, 6, 6, 6, 6, 3, 3, 6, 6, 4, 4, 6, 7, 6, 6, 6, 6, 3, 3, 6, 6, 4, 4, 6, 7, 6, 3, 3, 6, 7, 6, 4, 4, 6, 7, 6, 3, 3, 0, 1, 1, 2, 1, 1, 3, 5, 5, 5, 5, 6, 6, 5, 3, 5, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 5, 1, 1, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 8, 7, 4, 4, 11, 10, 10, 10, 10, 10, 8, 8, 9, 7, 7, 6, 8, 8, 8, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 7, 6, 6, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 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, 7, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 7, 0, 3, 3, 2, 2, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 6, 8, 8, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 11, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 3, 3, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 5, 5, 0, 0, 2, 2, 2, 0, 0, 2, 7, 7, 0, 0, 2, 2, 2, 0, 14, 14, 1, 14, 14, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 19, 19, 1, 2, 1, 2, 19, 19, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 21, 21, 1, 1, 1, 2, 1, 2, 21, 21, 0, 0, 1, 1, 1, 1, 1, 2, 1 ]
[ 1070, 3738, 1188, 1709, 620, 619, 617, 47012, 203, 505, 464, 505, 280, 3037, 24088, 392, 313, 9430, 392, 2607, 313, 669, 81, 6728, 392, 313, 2546, 81, 6728, 392, 313, 3815, 81, 6728, 81, 2613, 1446, 203, 7147, 81, 1274, 280, 2149, 203, 589, 19571, 26, 906, 81, 681, 30, 19571, 81, 1126, 30, 4374, 81, 906, 47, 2521, 711, 284, 415, 827, 26, 906, 81, 681, 27, 438, 617, 47012, 44, 291, 3636, 12678, 440, 2991, 81, 1582, 438, 646, 14212, 436, 793, 623, 6015, 657, 284, 415, 646, 19326, 26, 24088, 81, 1126, 30, 11477, 1851, 505, 7831, 291, 3636, 12678, 440, 35977, 4442, 2298, 526, 20695, 657, 284, 7520, 81, 1274, 77, 906, 81, 681, 79, 280, 19571, 81, 1126, 284, 415, 4374, 81, 906, 438, 646, 1665, 44, 291, 4374, 26, 9430, 81, 906, 27, 203, 589, 4374, 26, 1473, 711, 284, 415, 646, 19326, 26, 1473, 30, 11477, 1851, 505, 7831, 291, 3636, 12678, 440, 6309, 1734, 2298, 526, 20695, 657, 203, 1270, 44, 284, 8640, 203, 7343, 3270, 924, 44, 284, 3097, 203, 1824, 44, 284, 665, 19571, 81, 11476, 26, 85, 711, 291, 442, 8640, 30, 308, 85, 32, 4543, 30, 281, 32, 17792, 27, 284, 19571, 26, 11476, 30, 19571, 81, 11476, 30, 8640, 27, 203, 589, 617, 268, 9430, 26, 6933, 30, 1695, 30, 1603, 711, 284, 415, 1695, 438, 1300, 44, 291, 2830, 280, 1300, 3667, 890, 3207, 6933, 27, 284, 813, 44, 291, 2830, 280, 1695, 3667, 890, 3207, 6933, 30, 1603, 27, 291, 415, 1695, 3667, 1664, 505, 863, 1300, 3667, 1664, 26927, 324, 1695, 3667, 1664, 3207, 2067, 30, 1603, 27, 284, 442, 2830, 203, 81, 32797, 2319, 280, 225, 35, 3571, 43, 203, 589, 617, 8920, 81, 327, 26, 784, 30, 3642, 711, 284, 1201, 3642, 333, 225, 36, 284, 436, 1695, 328, 630, 3667, 823, 29215, 95, 290, 26927, 291, 415, 19326, 26, 1439, 30, 11477, 4545, 505, 683, 461, 646, 1695, 3667, 4545, 505, 549, 617, 32797, 2319, 44, 324, 1626, 284, 813, 44, 291, 1695, 280, 1300, 3701, 415, 1695, 438, 1300, 44, 291, 1603, 280, 1665, 284, 813, 44, 291, 415, 1695, 438, 630, 3667, 823, 26927, 324, 3636, 12678, 30, 313, 3374, 1330, 19571, 904, 101, 4684, 20, 904, 1695, 3667, 426, 505, 291, 1603, 280, 1695, 26, 784, 27, 284, 2181, 280, 308, 784, 3667, 823, 7642, 1695, 30, 1603, 27, 284, 1596, 44, 291, 622, 1293, 280, 630, 3667, 371, 1293, 505, 284, 2940, 29316, 44, 291, 415, 18623, 26, 784, 30, 9602, 18645, 41501, 1665, 711, 324, 3636, 12678, 440, 83, 443, 688, 12706, 1156, 18645, 505, 2876, 313, 1014, 313, 589, 19068, 1156, 371, 1293, 505, 4881, 526, 8298, 1231, 657, 291, 1596, 44, 324, 5436, 280, 630, 3667, 2665, 505, 291, 2940, 29316, 44, 324, 5436, 280, 1665, 284, 813, 44, 291, 5436, 280, 622, 1293, 346, 284, 415, 5436, 44, 291, 442, 617, 268, 9430, 30, 2181, 30, 5436, 284, 813, 44, 291, 442, 617, 268, 9430, 30, 2181, 203, 589, 1156, 890, 2067, 3207, 6933 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 4, 2, 2, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 6, 7, 7, 7, 6, 4, 4, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 6, 7, 7, 7, 6, 6, 8, 8, 8, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 2, 2, 6, 6, 5, 6, 6, 6, 5, 4, 4, 5, 5, 2, 2, 3, 5, 5, 4, 4, 4, 3, 3, 3, 7, 8, 8, 8, 7, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 6, 7, 6, 6, 8, 8, 8, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 4, 5, 5, 5, 6, 5, 4, 4, 6, 7, 7, 10, 9, 10, 8, 8, 9, 10, 8, 3, 3, 6, 7, 6, 6, 7, 7, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 9, 9, 8, 3, 3, 4, 4, 4, 7, 7, 9, 10, 10, 10, 9, 9, 9, 5, 5, 6, 8, 9, 9, 7, 7, 8, 9, 9, 6, 6, 10, 11, 11, 11, 10, 10, 10, 2, 2, 3, 0, 3, 3, 3, 2, 2, 4, 3, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 5, 2, 2, 3, 3, 3, 5, 6, 6, 5, 5, 5, 3, 3, 5, 8, 9, 8, 8, 10, 10, 10, 6, 6, 7, 9, 10, 10, 8, 8, 9, 9, 5, 5, 5, 3, 3, 4, 4, 4, 7, 7, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 3, 3, 4, 4, 4, 6, 7, 7, 8, 9, 9, 6, 6, 8, 9, 9, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 12, 5, 5, 7, 7, 9, 10, 9, 2, 2, 4, 4, 7, 6, 7, 7, 5, 5, 5, 5, 2, 2, 3, 3, 3, 7, 6, 6, 7, 8, 8, 8, 3, 3, 4, 4, 4, 4, 6, 8, 9, 8, 8, 10, 10, 8, 8, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 5, 5, 6, 6, 6, 9, 9, 10, 11, 11, 6, 6, 7, 7, 7, 7, 10, 10, 3, 3, 4, 4, 4, 7, 7, 9, 9, 2, 2, 3, 3, 3, 3, 5, 7, 7, 6, 6, 6, 6, 3, 3, 4, 4, 4, 6, 8, 8, 7, 7, 0, 1, 1, 2, 2, 2, 3 ]
[ 0, 0, 0, 0, 0, 3, 3, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 3, 0, 0, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 0, 4, 4, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 5, 5, 5, 3, 3, 1, 3, 3, 3, 5, 4, 4, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 8, 8, 1, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 1, 1, 2, 4, 4, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 6, 6, 6, 0, 0, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 3, 3, 3, 3, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 1, 4, 4, 5, 5, 5, 5, 0, 0, 0, 1, 1, 1, 1, 5, 5, 4, 4, 4, 0, 0, 0, 1, 1, 0, 9, 9, 1, 1, 1, 1 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1199, 1188, 4040, 81, 1996, 81, 25138, 203, 589, 3097, 81, 858, 2740, 1132, 711, 442, 203, 589, 1289, 81, 7878, 26, 858, 81, 1298, 30, 9161, 711, 284, 313, 4391, 458, 26627, 372, 7378, 894, 544, 3191, 9161, 3107, 284, 415, 4070, 32, 20528, 69, 77, 5807, 81, 1996, 81, 25138, 5795, 28137, 5695, 100, 2998, 36909, 6448, 35, 79, 610, 9161, 44, 291, 442, 3097, 81, 858, 284, 813, 44, 291, 442, 894, 81, 1298, 203, 589, 1289, 81, 11115, 26, 1298, 711, 442, 1289, 81, 7878, 26, 1298, 30, 330, 11115, 683, 203, 589, 1289, 81, 1526, 21031, 26, 1298, 711, 442, 1289, 81, 7878, 26, 1298, 30, 330, 1526, 21031, 683, 203, 589, 1289, 81, 7534, 26, 1298, 711, 442, 1289, 81, 7878, 26, 1298, 30, 330, 7534, 683, 203, 589, 1289, 81, 20847, 659, 26, 1298, 711, 442, 1289, 81, 7878, 26, 1298, 30, 330, 20847, 659, 683, 203, 81, 1536, 81, 1199, 280, 4070, 32, 20528, 69, 77, 5807, 81, 1996, 81, 25138, 5795, 28137, 5695, 100, 2998, 36909, 6448, 35, 79, 203, 11115, 225, 280, 617, 1536, 81, 1199, 610, 330, 11115, 25, 203, 1526, 21031, 280, 617, 1536, 81, 1199, 610, 330, 1526, 21031, 25, 203, 7534, 261, 280, 617, 1536, 81, 1199, 610, 330, 7534, 25, 203, 20847, 659, 280, 617, 1536, 81, 1199, 610, 330, 20847, 659, 25, 203, 21415, 81, 2231, 722, 5796, 4182, 12511, 280, 2933, 203, 325, 31751, 461, 330, 21031, 25, 328, 4070, 32, 20528, 69, 77, 5807, 81, 1996, 81, 25138, 5795, 28137, 12132, 284, 645, 8527, 32, 12023, 32, 21031, 32, 1199, 32, 11514, 32, 11115, 32, 3378, 1188, 36413, 2084, 10833, 203, 12106, 2364, 21031, 44, 284, 645, 8527, 32, 12023, 32, 21031, 32, 1199, 32, 11514, 32, 1526, 21031, 32, 3378, 1188, 36413, 2084, 10833, 203, 12106, 23667, 659, 44, 284, 645, 8527, 32, 12023, 32, 21031, 32, 1199, 32, 11514, 32, 20847, 659, 32, 3378, 1188, 36413, 2084, 10833, 203, 1824, 44, 284, 35890, 81, 2231, 722, 5796, 4182, 12511, 280, 3177, 284, 36413, 2084, 10833, 280, 1665, 203, 589, 1401, 81, 20847, 81, 1199, 2262, 284, 23667, 81, 43093, 280, 428, 426, 436, 636, 30, 3082, 81, 2665, 328, 4070, 32, 20528, 69, 32, 3028, 346, 291, 415, 3082, 81, 2665, 710, 28137, 5695, 15990, 463, 11025, 32, 12023, 32, 21031, 12357, 284, 442, 2069, 26, 20847, 81, 43093, 27, 610, 2069, 26, 3550, 32, 20528, 69, 27, 203, 21415, 81, 2231, 722, 5796, 81, 1996, 280, 1401, 81, 20847, 81, 1199, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 4, 2, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 10, 11, 11, 9, 10, 10, 10, 10, 10, 9, 10, 10, 8, 8, 7, 5, 7, 5, 4, 4, 3, 3, 3, 5, 6, 6, 3, 3, 4, 4, 4, 6, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 3, 5, 5, 5, 6, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 3, 5, 5, 5, 6, 5, 5, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 3, 5, 5, 5, 6, 5, 5, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 3, 5, 5, 5, 6, 5, 5, 7, 7, 7, 0, 3, 3, 3, 3, 2, 2, 8, 9, 9, 7, 8, 8, 8, 8, 8, 7, 8, 8, 6, 6, 5, 3, 5, 3, 0, 3, 2, 2, 2, 4, 4, 4, 3, 3, 5, 5, 0, 3, 3, 2, 2, 4, 4, 4, 3, 3, 5, 5, 5, 0, 3, 2, 2, 2, 4, 4, 4, 3, 3, 5, 5, 0, 3, 3, 2, 2, 4, 4, 4, 3, 3, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 5, 5, 3, 3, 6, 7, 7, 5, 6, 6, 6, 6, 6, 5, 6, 6, 1, 1, 3, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 3, 5, 5, 1, 2, 2, 3, 2, 2, 2, 4, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 6, 5, 6, 4, 4, 6, 6, 1, 2, 2, 3, 2, 2, 2, 4, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 6, 5, 6, 4, 4, 6, 6, 1, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 5, 5, 3, 3, 6, 6, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 5, 6, 7, 7, 8, 8, 6, 6, 9, 10, 10, 8, 9, 8, 5, 5, 6, 10, 10, 9, 11, 11, 9, 8, 10, 10, 10, 10, 10, 10, 2, 2, 3, 6, 7, 7, 7, 6, 4, 4, 6, 8, 7, 8, 8, 6, 0, 3, 3, 3, 3, 3, 3, 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 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 3, 3, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 2, 1, 2, 6, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 14, 14, 0, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 1, 12, 0, 0, 0, 0, 14, 4, 4, 1, 4, 4, 4, 0, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 10, 1, 12, 0, 0, 0, 0, 14, 5, 5, 1, 5, 5, 5, 0, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 10, 1, 12, 0, 0, 0, 0, 14, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 15, 15, 1, 1, 1, 1, 2, 15, 15, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 3, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 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 ]
[ 465, 5741, 203, 465, 5237, 203, 465, 2322, 203, 465, 3089, 749, 98, 203, 1070, 3089, 749, 98, 1188, 8684, 203, 1070, 3089, 749, 98, 32, 3477, 1188, 2297, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 7621, 280, 2149, 203, 823, 5718, 620, 26, 681, 711, 284, 665, 1156, 1664, 3207, 6933, 30, 636, 30, 26394, 30, 11758, 711, 291, 2599, 26, 2019, 620, 30, 9011, 14585, 1664, 3207, 426, 30, 26394, 30, 11758, 27, 291, 636, 280, 18623, 26, 6933, 30, 636, 30, 9011, 3667, 426, 9818, 5729, 1157, 291, 9011, 32, 426, 280, 636, 291, 415, 636, 863, 330, 2501, 950, 324, 6350, 77, 426, 79, 280, 9011, 203, 823, 5718, 26, 1473, 711, 284, 1156, 2559, 32095, 505, 280, 5718, 620, 284, 665, 1420, 26, 784, 30, 2181, 711, 291, 3097, 203, 823, 16901, 26, 2019, 711, 284, 665, 1420, 26, 784, 30, 2181, 711, 291, 1459, 313, 8589, 6350, 3491, 96, 20, 291, 3714, 280, 1769, 2009, 1657, 26, 93, 27, 436, 831, 328, 6350, 32, 3494, 27944, 474, 225, 36, 291, 436, 831, 30, 354, 328, 6350, 32, 3028, 2262, 324, 1459, 313, 264, 904, 101, 23, 101, 20, 904, 308, 93, 32, 94, 4510, 26, 5281, 30, 330, 47503, 354, 3667, 1427, 505, 556, 9142, 291, 1459, 2706, 96, 4391, 6611, 101, 333, 2501, 48, 769, 4756, 25, 436, 10090, 2016, 3049, 3107, 904, 5237, 32, 6118, 77, 34, 997, 2998, 26, 500, 32, 983, 32, 12595, 5594, 31, 35, 79, 203, 465, 2145, 203, 465, 5625, 203, 465, 46194, 203, 465, 1477, 203, 589, 2575, 2262, 284, 2181, 280, 5237, 32, 6118, 77, 35, 10056, 284, 415, 2069, 26, 1132, 27, 848, 225, 35, 461, 2181, 77, 34, 997, 15990, 12664, 23403, 31, 983, 47169, 461, 646, 2181, 77, 35, 997, 15990, 10359, 10280, 291, 8684, 32, 1163, 1114, 2208, 81, 1163, 2009, 1132, 77, 34, 13138, 291, 2181, 280, 2181, 77, 35, 10056, 284, 2016, 280, 313, 1786, 20, 284, 415, 2069, 26, 1132, 27, 461, 646, 2181, 77, 34, 997, 15990, 10359, 10280, 291, 5741, 32, 5820, 26, 7490, 32, 32968, 27, 291, 436, 345, 328, 2297, 32, 371, 81, 3477, 2262, 324, 345, 280, 330, 520, 749, 98, 32, 23403, 4564, 474, 345, 324, 1156, 465, 3207, 95, 27, 291, 5741, 32, 5820, 26, 7490, 32, 3908, 2695, 27, 291, 2016, 280, 2181, 77, 34, 79, 291, 2181, 280, 2181, 77, 35, 10056, 284, 415, 2016, 328, 6350, 44, 291, 337, 280, 6350, 77, 2501, 15435, 291, 337, 32, 1945, 26, 1132, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 2, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 4, 4, 6, 6, 8, 9, 8, 8, 8, 8, 11, 12, 12, 11, 10, 4, 4, 7, 8, 6, 6, 4, 4, 5, 6, 6, 8, 8, 5, 5, 9, 10, 9, 8, 8, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 5, 4, 4, 4, 3, 3, 5, 7, 7, 7, 8, 7, 4, 4, 6, 6, 9, 12, 12, 13, 12, 10, 11, 11, 11, 13, 14, 13, 7, 7, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 7, 10, 10, 10, 10, 10, 10, 8, 8, 12, 11, 12, 12, 11, 12, 11, 11, 13, 9, 11, 12, 12, 10, 10, 4, 4, 5, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 11, 12, 10, 11, 10, 10, 9, 12, 11, 12, 10, 11, 9, 8, 9, 7, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 4, 4, 6, 7, 5, 7, 6, 2, 2, 3, 8, 9, 8, 6, 6, 7, 5, 5, 8, 9, 8, 8, 7, 9, 9, 9, 9, 4, 4, 5, 8, 9, 8, 8, 7, 9, 3, 3, 8, 9, 7, 8, 8, 8, 7, 10, 9, 10, 9, 4, 4, 6, 6, 7, 9, 8, 2, 2, 4, 4, 6, 6, 2, 2, 3, 6, 7, 6, 4, 4, 5, 8, 9, 8, 8, 7, 9, 3, 3, 7, 8, 7, 9, 8, 9, 7, 4, 4, 5, 5, 5, 7, 8, 8, 8, 7, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 6, 6, 9, 9, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 4, 4, 6, 6, 7, 8, 7, 4, 4, 6, 6, 7, 9, 8, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 0, 0, 9, 9, 2, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 10, 10, 2, 1, 2, 10, 10, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 3, 3, 4, 4, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 14, 14, 0, 15, 15, 2, 15, 15, 0, 0, 0, 2, 2, 0, 2, 4, 4, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 2, 0, 2, 4, 4, 0, 0, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 3, 3, 0, 2, 1, 0, 1, 2, 1, 3, 3, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 5, 5, 0, 0, 1, 1, 3, 3, 0, 2, 1, 0, 1, 2, 2, 1, 3, 3, 0, 0, 2, 2, 2, 3, 3, 0, 0, 2, 0, 2, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 0, 2, 0, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 465, 6436, 619, 2065, 203, 1070, 3001, 12761, 32, 3242, 1188, 30095, 1212, 924, 30, 20871, 1212, 924, 203, 589, 617, 4635, 81, 10410, 81, 2402, 26, 10410, 30, 28182, 81, 2405, 47, 2700, 711, 284, 15172, 280, 2065, 32, 26742, 26, 10410, 27, 284, 415, 646, 28182, 81, 2405, 44, 291, 15172, 280, 15172, 32, 15315, 26, 410, 30, 48174, 1057, 4770, 370, 1933, 47, 2700, 27, 284, 415, 15172, 32, 29704, 863, 225, 35, 44, 291, 3636, 10091, 440, 4495, 225, 35, 31, 54, 16540, 884, 5420, 7144, 284, 4348, 308, 10410, 333, 225, 34, 547, 1813, 2262, 291, 3636, 10091, 440, 18330, 4026, 4881, 4799, 11003, 2078, 7144, 284, 442, 15172, 203, 589, 617, 4635, 81, 10410, 81, 24897, 2740, 1132, 30, 1115, 5321, 711, 284, 3276, 280, 1605, 284, 35356, 280, 1605, 284, 28182, 81, 2405, 280, 10306, 32, 3235, 463, 33980, 81, 2405, 370, 3177, 27, 284, 436, 15172, 328, 2181, 44, 291, 3276, 32, 1689, 2176, 4635, 81, 10410, 81, 2402, 26, 10410, 30, 28182, 81, 2405, 490, 291, 35356, 32, 1689, 26, 1657, 26, 10410, 490, 284, 415, 2069, 26, 470, 26, 25978, 490, 848, 225, 35, 44, 291, 3636, 10091, 440, 1612, 16540, 1044, 81, 10410, 461, 354, 81, 10410, 2298, 526, 432, 313, 656, 313, 2228, 3104, 7144, 284, 442, 3276, 203, 589, 617, 4635, 81, 366, 103, 81, 3631, 81, 363, 81, 3242, 26, 10410, 30, 337, 13388, 81, 3631, 30, 4345, 711, 284, 2069, 81, 366, 103, 81, 3631, 280, 2069, 26, 366, 103, 81, 3631, 27, 284, 739, 81, 366, 103, 81, 3631, 280, 739, 26, 366, 103, 81, 3631, 27, 284, 415, 2069, 81, 366, 103, 81, 3631, 863, 2069, 26, 470, 81, 366, 103, 81, 3631, 711, 291, 3636, 10091, 440, 1194, 71, 15342, 4026, 4881, 4799, 30601, 9668, 7144, 284, 415, 2069, 26, 10410, 27, 863, 2069, 81, 366, 103, 81, 3631, 44, 291, 3636, 10091, 440, 1194, 71, 15342, 4026, 2298, 526, 322, 2432, 3104, 619, 15172, 313, 656, 313, 2402, 26, 101, 547, 657, 284, 415, 2069, 26, 3242, 32, 2388, 922, 4915, 27, 848, 225, 36, 44, 291, 3636, 10091, 440, 3350, 2298, 526, 3051, 318, 7144, 284, 5573, 81, 27959, 280, 1605, 284, 8300, 81, 4243, 280, 1605, 284, 436, 484, 328, 4345, 32, 33261, 2262, 291, 415, 646, 484, 32, 297, 81, 2388, 2262, 324, 5573, 81, 27959, 32, 1689, 26, 87, 32, 1322, 27, 291, 415, 484, 32, 297, 81, 3961, 2262, 324, 8300, 81, 4243, 32, 1689, 26, 87, 32, 426, 27, 284, 739, 81, 3961, 81, 4243, 280, 739, 26, 3961, 81, 4243, 27, 284, 415, 2069, 26, 3961, 81, 4243, 27, 863, 2069, 26, 470, 81, 3961, 81, 4243, 711, 291, 3636, 30095, 1212, 924, 440, 1934, 8300, 4467, 2298, 526, 5799, 7144, 284, 415, 2065, 32, 955, 2009, 94, 438, 1665, 436, 456, 328, 5573, 81, 27959, 8492, 1813, 2262, 291, 3636, 10091, 440, 1934, 2979, 31, 2388, 5166, 328, 4345, 2298 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 4, 6, 7, 6, 7, 6, 2, 2, 3, 4, 5, 5, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 8, 9, 11, 11, 8, 9, 10, 8, 2, 2, 3, 5, 6, 4, 4, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 9, 8, 8, 9, 7, 7, 6, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 6, 6, 2, 2, 3, 3, 3, 3, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 10, 9, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 10, 9, 2, 2, 3, 6, 8, 8, 9, 8, 4, 4, 5, 3, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 6, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 6, 7, 6, 4, 4, 5, 5, 5, 5, 5, 3, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 2, 2, 3, 6, 10, 9, 10, 9, 8, 6, 4, 4, 5, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 5, 6, 8, 9, 9, 9, 8, 5, 5, 10, 10, 9, 10, 9, 11, 10, 11, 9, 4, 4, 5, 7, 8, 8, 8, 7, 5, 5, 10, 10, 9, 10, 9, 11, 10, 11, 9, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 6, 7, 7, 7, 6, 4, 4, 6, 7, 7, 7, 7, 7, 6, 3, 3, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 7, 8, 7, 10, 9, 9, 8, 9, 9, 9, 10, 10, 8, 6, 5, 3, 3, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 3, 3, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 1, 5, 2, 1, 4, 4, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 0, 1, 1, 2, 0, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 3, 3, 3, 3, 3, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 5, 5, 0, 2, 1, 0, 1, 1, 1, 4, 4, 4, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 7, 7, 7, 0, 2, 1, 7, 7, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 5, 5, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 10, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 3, 3, 1, 2, 1, 10, 10, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 1695, 40, 38, 203, 1070, 7395, 14510, 1188, 938, 9445, 1147, 30, 707, 6949, 13212, 203, 465, 2322, 203, 1070, 42406, 1188, 8735, 39, 203, 1070, 24379, 32, 23199, 1188, 12039, 37, 30, 22570, 203, 1070, 4356, 26343, 1188, 4527, 203, 1070, 4356, 26343, 32, 2282, 1188, 337, 40, 34, 34, 30, 5934, 81, 2263, 203, 1070, 4356, 26343, 32, 978, 37, 8524, 1188, 1044, 30, 9336, 3651, 30, 9843, 3651, 30, 323, 203, 1070, 4356, 26343, 32, 9404, 81, 3893, 1188, 17727, 984, 30, 12572, 5413, 984, 203, 823, 447, 953, 308, 1473, 711, 284, 617, 35667, 81, 6947, 280, 301, 291, 330, 16902, 31, 35, 36, 42, 31, 22661, 950, 5053, 19624, 950, 22570, 30, 330, 678, 891, 950, 225, 35, 40, 30, 330, 1521, 891, 950, 225, 35, 40, 30, 330, 2816, 950, 22570, 32, 4959, 81, 22661, 835, 291, 330, 23933, 31, 55, 852, 37, 31, 22661, 950, 5053, 19624, 950, 12039, 37, 30, 330, 678, 891, 950, 225, 36, 38, 30, 330, 1521, 891, 950, 225, 42, 30, 330, 2816, 950, 12039, 37, 32, 4959, 81, 22661, 835, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 3124, 47, 2521, 30, 706, 47, 2521, 711, 291, 3097, 284, 665, 619, 3651, 26, 784, 711, 291, 442, 3519, 346, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 32, 302, 3651, 346, 284, 665, 1156, 4923, 3207, 784, 30, 1604, 711, 291, 28068, 280, 3677, 26, 784, 27, 291, 6518, 280, 3677, 26, 2455, 27, 291, 415, 28068, 863, 6518, 44, 324, 442, 13593, 26, 3914, 30, 6518, 27, 291, 442, 13593, 26, 784, 32, 302, 3651, 1026, 1604, 32, 302, 3651, 1157, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 442, 3677, 26, 784, 27, 610, 3677, 26, 2455, 27, 284, 665, 622, 81, 426, 26, 784, 711, 291, 442, 4247, 284, 665, 622, 81, 5960, 26, 784, 711, 291, 442, 225, 34, 284, 665, 883, 81, 1333, 26, 784, 711, 291, 442, 3177, 284, 665, 622, 81, 37015, 26, 784, 711, 291, 442, 8735, 39, 26, 784, 32, 302, 3651, 4251, 13995, 346, 284, 665, 622, 81, 1439, 40, 38, 26, 784, 711, 291, 442, 1044, 26, 4434, 3651, 26, 784, 32, 302, 3651, 22312, 3227, 9442, 96, 370, 9142, 284, 665, 2596, 81, 9404, 81, 605, 26, 784, 30, 706, 711, 291, 442, 3519, 346, 284, 665, 6144, 81, 9404, 81, 4994, 26, 784, 30, 706, 30, 3124, 711, 291, 442, 3177, 284, 665, 645, 81, 2055, 81, 678, 81, 761, 26, 6933, 30, 4870, 30, 3882, 47, 2521, 711, 291, 1202, 280, 9011, 26, 3607, 47, 3607, 30, 3882, 47, 2895, 27, 291, 442, 1202, 284, 645, 81, 2055, 81, 678, 81, 761, 280, 443, 1959, 26, 1070, 81, 2055, 81, 678, 81, 761, 27, 284, 665, 645, 81, 2055, 81, 678, 26, 6933, 30, 803, 81, 2067, 30, 3882, 47, 2521, 711, 291, 1202, 280, 9011, 26, 761, 81, 2067, 47, 761, 81, 2067, 30, 3882, 47, 2895, 27, 291, 442, 1202, 284, 645, 81, 2055, 81, 678, 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, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 1, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 10, 10, 8, 7, 7, 10, 10, 10, 8, 9, 9, 7, 7, 10, 10, 10, 8, 9, 9, 7, 7, 10, 10, 8, 9, 10, 10, 10, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 10, 10, 8, 9, 7, 7, 10, 10, 10, 8, 9, 9, 7, 7, 10, 10, 10, 8, 9, 7, 7, 10, 10, 8, 10, 9, 10, 10, 10, 7, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 10, 9, 9, 9, 4, 4, 5, 7, 10, 9, 10, 10, 9, 7, 9, 10, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 9, 12, 11, 12, 12, 11, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 9, 11, 11, 11, 14, 13, 14, 14, 13, 8, 7, 10, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 8, 9, 10, 8, 4, 4, 5, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 7, 7, 7, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 10, 10, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 4, 4, 0, 5, 5, 0, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 2, 2, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 1, 2, 2, 2, 8, 8, 0, 8, 8, 0, 0, 0, 9, 9, 1, 9, 1, 2, 9, 9, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 2, 5, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 2, 5, 2, 2, 2, 1, 2, 7, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 1, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 4, 4, 3, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 4, 4, 5, 1, 1, 1, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 4, 4, 7, 1, 1, 2, 1, 2, 7, 7, 0, 1, 4, 4, 8, 1, 1, 2, 1, 2, 8, 8, 0, 4, 4, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 10, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 4, 4, 11, 1, 1, 1, 1, 2, 1, 2, 2, 2, 11, 11, 0, 1, 4, 4, 12, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 12, 12, 0, 4, 4, 13, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 13, 13, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 15, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 15, 15, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 4, 4, 1, 4, 4, 0, 0, 0, 0, 0 ]
[ 1070, 3991, 1188, 2398, 8203, 203, 465, 390, 101, 2762, 203, 823, 390, 101, 22102, 4711, 44, 284, 665, 1156, 1664, 3207, 784, 30, 3298, 30, 1359, 711, 291, 630, 32, 605, 280, 2149, 291, 630, 32, 17020, 280, 2933, 291, 3082, 280, 2398, 8203, 346, 291, 3082, 32, 470, 953, 440, 17020, 4573, 657, 291, 3082, 32, 944, 346, 291, 3082, 481, 280, 3082, 32, 11576, 8203, 346, 291, 630, 32, 1163, 280, 1359, 291, 415, 3298, 328, 3082, 481, 32, 3494, 346, 461, 2069, 26, 1199, 481, 77, 2929, 1130, 863, 225, 34, 44, 324, 630, 32, 605, 280, 3082, 481, 77, 2929, 1674, 34, 79, 291, 813, 44, 324, 630, 32, 17020, 280, 3177, 284, 665, 438, 81, 17020, 4573, 26, 784, 711, 291, 442, 630, 32, 17020, 284, 665, 622, 81, 12236, 26, 784, 711, 291, 415, 646, 630, 32, 17020, 44, 324, 442, 630, 32, 1163, 32, 371, 81, 12236, 346, 291, 22329, 280, 1605, 291, 415, 646, 630, 32, 1163, 32, 539, 81, 407, 12236, 346, 461, 330, 5785, 81, 17020, 81, 10419, 25, 328, 630, 32, 605, 44, 324, 22329, 32, 1689, 26, 784, 32, 605, 710, 5785, 81, 17020, 81, 10419, 3490, 291, 415, 330, 12236, 25, 328, 630, 32, 605, 44, 324, 22329, 32, 8233, 26, 784, 32, 605, 710, 12236, 5695, 2998, 43061, 490, 291, 442, 22329, 556, 2107, 785, 284, 665, 739, 81, 12236, 26, 784, 30, 909, 711, 291, 630, 32, 605, 710, 12236, 785, 280, 909, 284, 665, 739, 81, 5785, 26, 784, 30, 909, 711, 291, 630, 32, 605, 710, 5785, 81, 17020, 81, 10419, 785, 280, 909, 284, 665, 622, 81, 1299, 3965, 26, 784, 711, 291, 415, 330, 5785, 81, 17020, 81, 1299, 3965, 25, 328, 630, 32, 605, 44, 324, 442, 630, 32, 605, 710, 5785, 81, 17020, 81, 1299, 3965, 785, 291, 442, 4247, 284, 665, 622, 81, 10419, 26, 784, 711, 291, 415, 330, 5785, 81, 17020, 81, 10419, 25, 328, 630, 32, 605, 44, 324, 442, 630, 32, 605, 710, 5785, 81, 17020, 81, 10419, 785, 291, 442, 4247, 284, 665, 622, 81, 4116, 26, 784, 711, 291, 5880, 280, 313, 3209, 96, 482, 32, 3259, 20, 291, 415, 646, 630, 32, 17020, 44, 324, 442, 630, 32, 1163, 32, 371, 81, 4116, 346, 291, 415, 330, 4116, 81, 426, 25, 328, 630, 32, 605, 44, 324, 442, 630, 32, 605, 710, 4116, 81, 426, 785, 291, 442, 5880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 6, 6, 8, 8, 4, 4, 7, 8, 8, 7, 9, 9, 9, 4, 4, 7, 8, 7, 4, 4, 7, 6, 6, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 5, 7, 7, 10, 9, 10, 9, 6, 6, 9, 11, 11, 10, 11, 10, 7, 7, 8, 5, 5, 5, 9, 10, 8, 8, 11, 10, 11, 10, 10, 9, 5, 5, 6, 6, 6, 10, 11, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 7, 10, 11, 9, 10, 10, 10, 9, 4, 4, 6, 6, 4, 4, 5, 7, 10, 11, 9, 10, 10, 10, 10, 9, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 5, 5, 5, 9, 10, 9, 12, 11, 12, 10, 12, 12, 12, 12, 12, 12, 4, 4, 5, 8, 8, 6, 6, 7, 8, 5, 5, 5, 9, 10, 9, 14, 13, 14, 12, 14, 14, 12, 11, 11, 4, 4, 5, 6, 6, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 9, 9, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 9, 9, 9, 9, 9, 9, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 5, 5, 5, 7, 9, 10, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 5, 5, 5, 7, 9, 10, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 5, 6, 7, 8, 5, 5, 5, 7, 10, 11, 9, 10, 10, 10, 9, 4, 4, 5, 8, 8, 8, 8, 6, 6, 7, 8, 5, 5, 5, 7, 9, 10, 8, 10, 10, 10, 10, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 4, 4, 7, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 7, 7, 7, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 7, 7, 4, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 3, 3, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 4, 4, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 2, 1, 1, 2, 2, 3, 3, 3, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 4, 4, 4, 1, 1, 1, 3, 3, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 0, 1, 2, 0, 0, 3, 3, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 3, 3, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 3, 3, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 3, 3, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 533, 441, 5540, 32, 34039, 1188, 15660, 2216, 30, 15660, 15432, 203, 1070, 638, 29848, 1188, 30193, 942, 5506, 2216, 203, 823, 1683, 7764, 29721, 5506, 2216, 26, 29721, 5506, 2216, 711, 284, 5881, 284, 333, 29848, 827, 347, 29566, 20, 372, 347, 44579, 1228, 29848, 48, 284, 5881, 284, 665, 1156, 1664, 3207, 784, 30, 594, 314, 711, 291, 2599, 26, 1061, 7764, 29721, 5506, 2216, 30, 630, 14585, 1664, 46732, 29566, 657, 291, 630, 32, 470, 3913, 26, 44579, 27, 284, 665, 739, 3913, 26, 784, 30, 594, 314, 711, 291, 630, 32, 44579, 280, 594, 314, 284, 665, 372, 5506, 15432, 26, 784, 711, 291, 1541, 280, 2599, 26, 1061, 7764, 29721, 5506, 2216, 30, 630, 547, 452, 5506, 15432, 346, 291, 1541, 32, 10787, 440, 452, 392, 630, 32, 44579, 27, 291, 442, 1541, 284, 665, 1156, 466, 3207, 784, 711, 291, 963, 225, 280, 2599, 26, 1061, 7764, 29721, 5506, 2216, 30, 630, 14585, 466, 16369, 291, 963, 1454, 313, 705, 44, 904, 101, 78, 96, 20, 904, 630, 32, 44579, 291, 442, 963, 284, 477, 16099, 284, 665, 645, 5506, 15432, 26, 1251, 711, 291, 4422, 280, 30193, 942, 5506, 2216, 32, 1070, 5506, 15432, 26, 1251, 27, 291, 4422, 3667, 823, 505, 280, 1683, 7764, 29721, 5506, 2216, 291, 4422, 32, 470, 3913, 26, 324, 1541, 32, 11378, 882, 440, 452, 657, 291, 829, 291, 442, 4422, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 9, 4, 4, 7, 8, 8, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 6, 10, 11, 11, 11, 11, 11, 10, 10, 10, 9, 9, 4, 4, 6, 6, 9, 9, 9, 9, 10, 10, 9, 7, 7, 8, 9, 4, 4, 5, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 10, 10, 9, 10, 10, 10, 9, 10, 9, 5, 5, 8, 9, 9, 7, 7, 8, 8, 8, 8, 5, 5, 8, 9, 9, 8, 8, 8, 10, 11, 11, 10, 12, 12, 8, 8, 5, 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 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 2, 0, 0, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 2, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 4, 4, 2, 4, 4, 1, 5, 5, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1133, 203, 1070, 34856, 32, 91, 35, 42, 96, 1188, 617, 203, 8055, 81, 1798, 4666, 46233, 81, 44022, 280, 225, 34, 203, 8055, 81, 1798, 4666, 46233, 81, 15707, 17774, 280, 225, 35, 203, 8055, 81, 1798, 4666, 46233, 81, 9607, 9208, 280, 225, 36, 203, 8055, 81, 1798, 4666, 46233, 81, 613, 4521, 14253, 280, 225, 37, 203, 8055, 81, 1798, 4666, 46233, 81, 46019, 29789, 10884, 280, 225, 38, 203, 8356, 280, 301, 284, 8452, 81, 1798, 4666, 46233, 81, 44022, 44, 30121, 13067, 1425, 284, 8452, 81, 1798, 4666, 46233, 81, 15707, 17774, 44, 30121, 27326, 1425, 284, 8452, 81, 1798, 4666, 46233, 81, 9607, 9208, 44, 30121, 28263, 1425, 284, 8452, 81, 1798, 4666, 46233, 81, 613, 4521, 14253, 44, 30121, 721, 11564, 1425, 284, 8452, 81, 1798, 4666, 46233, 81, 46019, 29789, 10884, 44, 30121, 27349, 22323, 1425, 203, 111, 203, 823, 3903, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 6341, 47, 2521, 711, 291, 415, 6341, 438, 1665, 44, 324, 630, 32, 5561, 280, 1133, 32, 1003, 346, 291, 813, 44, 324, 630, 32, 5561, 280, 6341, 284, 665, 622, 81, 5561, 26, 784, 711, 291, 442, 630, 32, 5561, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 3778, 23, 101, 44, 904, 101, 5844, 904, 308, 324, 630, 3667, 823, 29215, 426, 7642, 324, 630, 32, 5561, 27, 203, 823, 11617, 1151, 26, 1151, 711, 284, 665, 1156, 1664, 3207, 784, 30, 11171, 30, 6341, 47, 2521, 711, 291, 2599, 26, 1810, 1151, 30, 630, 14585, 1664, 3207, 5561, 27, 291, 630, 32, 6572, 280, 11171, 284, 665, 622, 81, 2386, 81, 6572, 26, 784, 711, 291, 442, 630, 32, 6572, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 3778, 23, 101, 44, 904, 101, 30, 904, 101, 5844, 904, 308, 324, 630, 3667, 823, 29215, 426, 7642, 324, 630, 32, 5561, 30, 324, 630, 32, 6572, 27, 203, 823, 42174, 1151, 26, 1810, 1151, 711, 284, 665, 1156, 1664, 3207, 784, 30, 11171, 30, 9094, 30, 6341, 47, 2521, 711, 291, 2599, 26, 18337, 1151, 30, 630, 14585, 1664, 3207, 6572, 30, 6341, 27, 291, 630, 32, 9271, 280, 9094, 284, 665, 622, 81, 9271, 26, 784, 711, 291, 442, 630, 32, 9271, 284, 665, 622, 81, 426, 26, 784, 711, 291, 442, 35121, 32, 371, 26, 784, 32, 9271, 30, 30121, 5842, 2847, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 3778, 23, 101, 44, 904, 101, 30, 904, 101, 532, 904, 101, 5844, 904, 308, 324, 630, 3667, 823, 29215, 426, 7642, 324, 630, 32, 5561, 30, 324, 630, 32, 6572, 30, 324, 630, 32, 371, 81, 426, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 3, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 3, 3, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 9, 10, 8, 8, 10, 11, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 9, 10, 10, 9, 9, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 9, 10, 10, 9, 9, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 7, 9, 8, 9, 7, 7, 11, 11, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 9, 10, 10, 9, 9, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 7, 9, 10, 10, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 1, 1, 2, 2, 2, 0, 8, 8, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 4, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 3, 2, 2, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 0, 10, 10, 1, 2, 1, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 505, 464, 505, 280, 3037, 65, 6453, 41775, 28367, 392, 313, 2961, 392, 313, 2560, 1446, 203, 465, 1671, 203, 1070, 4031, 11661, 1114, 26041, 28367, 1188, 676, 6315, 7167, 203, 1070, 4031, 11661, 32, 29469, 1188, 546, 6453, 1969, 30, 546, 6453, 18811, 30, 1048, 619, 546, 6453, 924, 203, 823, 1048, 26, 65, 6453, 924, 711, 284, 3097, 203, 823, 546, 6453, 41775, 28367, 2644, 924, 26, 731, 711, 284, 3097, 203, 823, 546, 6453, 41775, 28367, 1120, 26, 1473, 711, 284, 3104, 280, 225, 34, 284, 665, 1156, 1664, 3207, 784, 30, 803, 2067, 711, 291, 1938, 280, 546, 6453, 1969, 26, 761, 2067, 27, 291, 2218, 646, 1938, 32, 30014, 77, 34, 997, 15990, 5528, 106, 34, 35, 26041, 28367, 10280, 324, 1938, 280, 546, 6453, 1969, 26, 761, 2067, 27, 291, 415, 646, 1938, 32, 2232, 44, 324, 3636, 546, 6453, 41775, 28367, 2644, 924, 26, 400, 313, 1637, 1401, 2484, 3338, 30, 1273, 4163, 1330, 1477, 312, 3443, 657, 291, 308, 784, 32, 8147, 30, 630, 32, 3287, 81, 3306, 30, 1769, 81, 2400, 3306, 30, 40909, 81, 2400, 3306, 30, 276, 1847, 81, 2400, 3306, 27, 280, 1671, 32, 15404, 10374, 52, 38, 91, 392, 1938, 32, 30014, 77, 34, 1674, 35, 35, 44, 36, 42, 1130, 291, 630, 32, 3542, 280, 1938, 32, 3542, 291, 1769, 81, 2400, 3306, 280, 1769, 26, 34, 30, 1769, 81, 2400, 3306, 27, 291, 1847, 81, 2400, 3306, 280, 1769, 26, 34, 30, 1847, 81, 2400, 3306, 27, 291, 40909, 81, 2400, 3306, 280, 1769, 26, 34, 30, 40909, 81, 2400, 3306, 27, 291, 415, 40909, 81, 2400, 3306, 610, 225, 34, 44, 324, 630, 32, 2400, 3306, 280, 308, 1449, 81, 2400, 3306, 474, 1847, 81, 2400, 3306, 27, 434, 225, 36, 291, 4348, 1769, 81, 2400, 3306, 461, 1769, 81, 2400, 3306, 333, 40909, 81, 2400, 3306, 44, 324, 630, 32, 2400, 3306, 280, 1769, 81, 2400, 3306, 291, 4348, 1847, 81, 2400, 3306, 848, 40909, 81, 2400, 3306, 44, 324, 630, 32, 2400, 3306, 280, 1847, 81, 2400, 3306, 291, 813, 44, 324, 630, 32, 2400, 3306, 280, 40909, 81, 2400, 3306, 284, 665, 617, 1526, 81, 3963, 26, 784, 30, 803, 2067, 711, 291, 1938, 280, 546, 6453, 1969, 32, 1809, 81, 2135, 26, 761, 2067, 30, 630, 32, 3542, 27, 291, 630, 32, 1322, 280, 1938, 32, 2705, 517, 1897, 26, 784, 32, 3287, 81, 3306, 27, 284, 665, 25679, 26, 784, 711, 291, 442, 313, 65, 6453, 44687, 28367, 30, 16125, 36, 88, 6791, 30, 904, 86, 323, 1069, 20, 904, 308, 784, 32, 1322, 30, 630, 32, 2400, 3306, 27, 203, 823, 546, 6453, 72, 6315, 7167, 26, 72, 6315, 7167, 711, 284, 665, 1156, 1664, 3207, 784, 30, 803, 2067, 30, 3099, 711, 291, 7853, 280, 1605, 291, 6153, 280, 3177, 291, 2218, 646, 6153, 44, 324, 1938, 280, 546, 6453, 1969, 26, 761, 2067, 27, 324, 415, 1938, 32, 3542, 610, 3099, 32, 3542, 44, 400, 7853, 32, 1689, 26, 1637, 27, 400, 6153, 280, 1938, 32, 5898, 556 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 9, 9, 8, 4, 4, 5, 6, 10, 11, 9, 10, 9, 9, 8, 11, 11, 11, 10, 10, 10, 5, 5, 8, 8, 10, 10, 10, 11, 11, 10, 4, 4, 5, 6, 7, 8, 5, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 9, 8, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 8, 11, 12, 10, 11, 10, 11, 11, 10, 11, 11, 9, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 8, 8, 9, 9, 9, 8, 4, 4, 5, 7, 7, 7, 6, 6, 7, 5, 5, 5, 9, 10, 10, 8, 8, 12, 12, 12, 12, 11, 11, 12, 12, 12, 10, 9, 9, 10, 5, 5, 6, 8, 8, 8, 7, 7, 9, 9, 9, 8, 8, 9, 9, 9, 6, 6, 6, 10, 11, 11, 9, 9, 10, 10, 10, 5, 5, 6, 8, 8, 8, 7, 7, 8, 8, 8, 6, 6, 6, 10, 11, 11, 9, 9, 10, 10, 10, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 9, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 7, 8, 6, 6, 8, 9, 7, 7, 9, 11, 10, 11, 11, 11, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 8, 9, 7, 7, 8, 9, 9, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 4, 4, 6, 6, 4, 4, 5, 6, 5, 5, 5, 8, 8, 10, 10, 10, 11, 11, 10, 6, 6, 7, 9, 10, 8, 8, 9, 10, 7, 7, 7, 11, 12, 11, 12, 11, 8, 8, 10, 10, 12, 13, 11 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 7, 7, 2, 2, 0, 4, 4, 2, 1, 1, 1, 2, 4, 4, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 2, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 7, 7, 7, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 3, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 8, 0, 0, 0, 1, 1, 2, 8, 8, 8, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 8, 8, 4, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 8, 8, 5, 0, 0, 0, 1, 1, 2, 2, 2, 5, 5, 5, 0, 2, 2, 0, 0, 2, 2, 2, 8, 8, 6, 6, 6, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 2, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2 ]
[ 465, 2361, 203, 1070, 4395, 1188, 7841, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 2684, 81, 3550, 203, 1070, 8527, 32, 1262, 32, 965, 46751, 1188, 10156, 203, 1070, 8527, 32, 1262, 32, 9331, 1188, 1476, 81, 2501, 203, 1070, 8527, 32, 12023, 32, 2393, 32, 3378, 1188, 7051, 203, 1070, 8527, 32, 12023, 32, 2393, 1188, 622, 81, 496, 81, 1160, 203, 1070, 1542, 81, 95, 418, 1772, 1188, 345, 418, 1772, 203, 1070, 43798, 32, 3378, 1188, 28579, 1892, 30, 28579, 1892, 24053, 203, 1070, 43798, 32, 34243, 1188, 28579, 1892, 7262, 203, 1070, 4942, 32, 3378, 1188, 34097, 30, 7959, 28165, 2362, 30, 2680, 2775, 28165, 2362, 30, 2680, 1534, 107, 203, 1070, 4942, 32, 4882, 1188, 4328, 35506, 203, 1070, 345, 1306, 81, 21031, 32, 3378, 1188, 28579, 1892, 18598, 203, 1070, 663, 338, 32, 3378, 1188, 20577, 10033, 3010, 203, 1070, 3233, 32, 9211, 1188, 7422, 2348, 203, 1070, 3233, 32, 1903, 81, 2304, 1188, 308, 284, 16233, 2554, 30, 1650, 81, 2386, 30, 1244, 30, 12741, 81, 1160, 27, 203, 1070, 4377, 1055, 81, 3550, 1188, 622, 81, 28331, 203, 17903, 81, 3765, 81, 24222, 280, 301, 284, 313, 2146, 4375, 1102, 81, 2413, 563, 313, 525, 555, 5007, 44, 43, 36, 34, 34, 10590, 284, 313, 9193, 81, 2474, 563, 313, 858, 81, 1055, 392, 284, 313, 10007, 81, 9193, 2147, 81, 4959, 4900, 563, 428, 291, 313, 95, 1306, 81, 21031, 32, 37731, 18598, 392, 291, 313, 95, 1306, 81, 21031, 32, 6708, 7251, 392, 291, 313, 95, 1306, 81, 21031, 32, 1534, 107, 19172, 392, 291, 313, 95, 1306, 81, 21031, 32, 2775, 28165, 2362, 19172, 392, 291, 313, 95, 1306, 81, 21031, 32, 73, 704, 19172, 392, 291, 313, 3707, 32, 3402, 1564, 392, 291, 313, 3707, 32, 5392, 1564, 20, 284, 2505, 284, 313, 15748, 81, 6016, 81, 17903, 81, 29054, 563, 301, 291, 313, 3378, 563, 428, 324, 301, 400, 313, 426, 563, 313, 35494, 392, 400, 313, 4151, 563, 428, 528, 313, 426, 392, 313, 35727, 392, 313, 913, 28165, 2362, 392, 313, 2489, 81, 426, 392, 528, 313, 35494, 81, 4255, 32, 2122, 81, 426, 392, 528, 313, 35494, 81, 4255, 32, 2122, 81, 426, 392, 528, 313, 35494, 81, 4255, 32, 3153, 81, 426, 392, 528, 313, 35494, 81, 18960, 81, 2468, 32, 29251, 392, 528, 313, 35494, 81, 18960, 81, 2468, 32, 30272, 81, 6803, 1826, 392, 528, 313, 35494, 81, 18960, 81, 2468, 32, 30272, 81, 6803, 1826, 20, 400, 1481, 324, 320, 291, 1481, 284, 801, 284, 313, 13236, 25690, 81, 14483, 81, 29054, 563, 428, 291, 301, 324, 313, 725, 563, 313, 9679, 13846, 392, 324, 313, 3378, 563, 428, 400, 301, 528, 313, 426, 563, 313, 35494, 392, 528, 313, 4151, 563, 3037, 426, 392, 313, 2489, 81, 426, 1446, 400, 801, 400, 301, 528, 313, 426, 563, 313, 5632, 392, 528, 313, 4151, 563, 3037, 426, 1446, 400, 320, 324, 1481, 291, 320, 284, 1481, 203, 111, 203, 53, 10028, 940, 81, 3765 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 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, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 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, 5, 5, 7, 7, 7, 7, 7, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 8, 8, 6, 7, 7, 8, 8, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 10, 10, 12, 12, 10, 12, 12, 10, 12, 12, 12, 12, 10, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 8, 8, 7, 7, 5, 5, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 6, 6, 9, 9, 7, 9, 9, 9, 6, 6, 9, 9, 7, 8, 8, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 13, 13, 11, 13, 13, 13, 13, 9, 9, 8, 8, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 13, 13, 9, 9, 8, 8, 6, 6, 5, 5, 3, 3, 0, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 9, 9, 0, 0, 0, 10, 10, 1, 2, 10, 10, 0, 0, 0, 11, 11, 1, 2, 11, 11, 11, 11, 0, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 12, 12, 1, 2, 12, 12, 0, 0, 13, 13, 0, 0, 0, 1, 2, 13, 13, 0, 0, 0, 14, 14, 0, 1, 2, 14, 14, 0, 0, 0, 15, 15, 1, 2, 15, 15, 0, 0, 16, 16, 1, 2, 2, 2, 16, 16, 16, 16, 0, 16, 16, 0, 0, 16, 16, 16, 16, 0, 0, 16, 0, 17, 17, 0, 0, 0, 17, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 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, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 9, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 1, 2, 1, 1, 2, 3, 3, 1, 2, 3, 1, 2, 3, 3, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0 ]
[ 465, 25136, 619, 1894, 203, 465, 4533, 8463, 619, 17393, 203, 465, 44558, 32, 83, 704, 869, 93, 32, 26870, 37611, 36, 619, 354, 36, 203, 823, 475, 8023, 26, 481, 32, 22175, 711, 284, 3097, 203, 823, 676, 329, 37611, 6330, 26, 481, 32, 8071, 6330, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1861, 47, 38, 30, 2384, 47, 37, 711, 291, 2599, 26, 41990, 37611, 6330, 30, 630, 14585, 1664, 3207, 1644, 30, 2384, 27, 291, 630, 32, 669, 81, 8991, 101, 346, 284, 665, 7913, 81, 4820, 26, 784, 711, 291, 442, 428, 481, 32, 14993, 30, 475, 8023, 30, 400, 1481, 284, 665, 1292, 1398, 26, 784, 30, 7669, 711, 291, 2287, 280, 2726, 18370, 25, 415, 630, 32, 6060, 81, 28139, 81, 269, 26, 324, 7669, 32, 2645, 30, 475, 8023, 27, 813, 330, 10780, 683, 291, 17413, 280, 2726, 47190, 25, 415, 7669, 32, 28112, 813, 25, 2521, 683, 291, 442, 308, 28112, 30, 2287, 27, 284, 665, 5742, 81, 1141, 26, 784, 30, 7669, 30, 2125, 711, 291, 415, 2125, 610, 330, 69, 7194, 950, 324, 4921, 102, 81, 668, 280, 630, 32, 668, 81, 28139, 81, 269, 26, 4867, 32, 2645, 30, 475, 8023, 27, 324, 415, 4921, 102, 81, 668, 863, 1605, 44, 400, 4921, 102, 280, 4921, 102, 81, 668, 77, 34, 79, 400, 7669, 32, 16257, 1454, 225, 35, 34, 34, 400, 630, 32, 2560, 81, 1944, 26, 1515, 102, 27, 291, 813, 44, 324, 2599, 26, 41990, 37611, 6330, 30, 630, 547, 4526, 81, 1141, 26, 4867, 30, 2125, 27, 291, 415, 2125, 863, 330, 2023, 3397, 950, 324, 7669, 32, 16257, 5912, 225, 35, 203, 1216, 463, 8617, 9872, 101, 30, 14225, 544, 12307, 28601, 203, 104, 280, 676, 329, 37611, 6330, 26, 38, 30, 225, 37, 27, 203, 104, 32, 669, 81, 1944, 26, 2976, 102, 1026, 308, 35, 30, 225, 35, 490, 203, 104, 32, 669, 81, 1944, 26, 2976, 102, 1026, 308, 36, 30, 225, 35, 490, 203, 83, 280, 354, 36, 32, 14633, 36, 6143, 346, 203, 83, 280, 1894, 32, 4790, 6143, 26, 83, 27, 203, 104, 32, 669, 81, 1944, 26, 83, 30, 308, 35, 30, 225, 35, 490, 203, 102, 280, 17393, 32, 6052, 70, 2284, 26, 104, 27, 203, 102, 32, 1110, 1658, 4109, 1371, 284, 1894, 32, 14993, 44, 43055, 284, 475, 8023, 44, 3770, 370, 284, 1894, 32, 6143, 44, 330, 72, 370, 203, 1748, 203, 102, 32, 2997, 26, 34, 27, 203, 102, 32, 668, 81, 28139, 26, 2976, 102, 27, 203, 102, 32, 2997, 26, 38, 27, 203, 325, 2069, 26, 102, 32, 2121, 32, 371, 81, 28139, 26, 2976, 102, 490, 848, 225, 34, 44, 284, 273, 32, 668, 81, 28139, 26, 2976, 102, 27, 203, 1824, 44, 284, 1459, 463, 1934, 5063, 22735, 203, 325, 1509, 463, 2555, 844, 2637, 372, 4036, 428, 107, 33, 64, 34414, 11134, 863, 330, 107, 950, 284, 4323, 26, 34, 27, 203, 1824, 44, 284, 1459, 463, 1106, 430, 683, 203, 1216, 463, 8617, 9872, 101, 30, 14225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 4, 4, 4, 4, 3, 4, 4, 4, 2, 2, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 6, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 10, 10, 8, 8, 10, 11, 11, 11, 11, 11, 10, 10, 10, 11, 12, 10, 10, 11, 10, 8, 8, 10, 10, 4, 4, 6, 6, 10, 10, 8, 8, 9, 10, 8, 10, 10, 10, 4, 4, 5, 7, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 8, 8, 8, 5, 5, 9, 9, 9, 8, 8, 10, 11, 11, 11, 11, 11, 10, 12, 11, 12, 10, 10, 11, 10, 6, 6, 7, 9, 9, 9, 8, 8, 7, 7, 7, 11, 10, 10, 12, 12, 12, 11, 12, 11, 8, 8, 11, 12, 10, 10, 11, 11, 11, 8, 8, 11, 12, 12, 12, 11, 12, 12, 11, 5, 5, 6, 6, 6, 12, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 11, 10, 10, 10, 4, 4, 5, 6, 6, 8, 8, 8, 5, 5, 9, 10, 8, 8, 9, 0, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 2, 2, 4, 4, 4, 4, 5, 4, 4, 5, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 5, 4, 4, 5, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 3, 5, 4, 4, 5, 4, 0, 3, 2, 2, 5, 4, 5, 5, 5, 4, 0, 3, 2, 2, 4, 5, 5, 4, 5, 4, 0, 4, 3, 4, 4, 4, 3, 4, 3, 3, 5, 4, 4, 5, 4, 0, 3, 2, 2, 4, 5, 5, 5, 4, 5, 4, 0, 4, 3, 4, 4, 4, 3, 4, 4, 6, 7, 5, 5, 4, 4, 6, 5, 5, 7, 4, 4, 6, 7, 5, 5, 7, 7, 4, 4, 0, 4, 3, 4, 3, 4, 3, 0, 4, 3, 4, 4, 4, 3, 4, 4, 3, 0, 4, 3, 4, 3, 4, 3, 0, 1, 1, 4, 8, 7, 8, 6, 7, 7, 7, 6, 7, 7, 6, 2, 2, 3, 1, 1, 1, 5, 6, 6, 6, 5, 6, 6, 5, 1, 2, 2, 2, 2, 6, 8, 8, 8, 0, 1, 1, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 2, 2, 2, 2, 6, 8, 8, 8, 0, 3, 3, 5, 5, 5, 5, 5 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 4, 4, 4, 1, 1, 2, 0, 3, 3, 1, 2, 0, 1, 2, 2, 3, 3, 0, 4, 4, 1, 1, 1, 2, 0, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 3, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 4, 4, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 1, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 2, 0, 0, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 3, 3, 2, 1, 1, 0, 2, 5, 5, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 17, 17, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 17, 17, 17, 0, 2, 2, 2, 1, 1, 1, 1, 17, 4, 4, 4, 4, 1, 1, 1, 1, 0, 18, 18, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 18, 18, 1, 1, 1, 18, 4, 4, 4, 4, 1, 1, 1, 2, 0, 0, 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, 5881, 203, 1559, 203, 1647, 44, 16560, 81, 3925, 81, 23724, 470, 203, 1648, 81, 11043, 44, 313, 36, 32, 38, 20, 203, 4021, 81, 2310, 44, 31580, 3379, 24144, 739, 32, 203, 2310, 44, 284, 429, 2648, 30, 1974, 461, 3066, 3379, 24144, 739, 32, 2244, 24144, 739, 4881, 526, 4459, 30, 844, 1098, 1159, 372, 397, 38849, 1591, 4174, 32, 886, 1755, 1974, 4212, 1098, 526, 436, 322, 5911, 32, 203, 2184, 44, 284, 2869, 81, 1363, 44, 291, 3048, 44, 324, 429, 3270, 432, 312, 2869, 2350, 2154, 322, 24144, 739, 5375, 556, 1098, 526, 3272, 32, 291, 2129, 44, 861, 284, 636, 44, 291, 3048, 44, 324, 429, 3270, 432, 322, 24144, 739, 32, 291, 2129, 44, 861, 284, 1603, 44, 291, 3048, 44, 324, 429, 3175, 322, 1603, 432, 322, 24144, 739, 32, 4417, 330, 2689, 25, 372, 1487, 556, 1974, 312, 24144, 739, 461, 1090, 330, 3596, 304, 25, 372, 3066, 312, 24144, 739, 32, 291, 1244, 44, 5024, 291, 16682, 44, 324, 429, 40118, 324, 429, 5024, 291, 2129, 44, 901, 284, 3894, 44, 291, 3048, 44, 324, 429, 5381, 16560, 3894, 32, 16010, 372, 3894, 432, 322, 2869, 2350, 32, 291, 1244, 44, 2869, 81, 1363, 3894, 291, 2129, 44, 901, 284, 5624, 81, 1877, 81, 4116, 81, 998, 44, 291, 3048, 44, 324, 429, 4000, 24627, 14190, 8351, 432, 3501, 19908, 461, 13266, 14303, 13255, 688, 883, 526, 29684, 318, 821, 322, 2432, 1133, 32, 4101, 438, 225, 39, 32, 291, 1244, 44, 225, 39, 291, 2129, 44, 901, 284, 5624, 81, 16012, 81, 4116, 81, 998, 44, 291, 3048, 44, 324, 429, 39620, 24627, 5597, 322, 2350, 432, 3501, 19908, 688, 8623, 312, 4942, 7169, 1914, 461, 3984, 3578, 32, 9043, 526, 3733, 225, 35, 461, 225, 37, 32, 4101, 438, 225, 37, 291, 1244, 44, 225, 37, 291, 2129, 44, 901, 284, 38155, 44, 291, 3048, 44, 324, 429, 14054, 415, 322, 24144, 739, 9567, 12852, 39890, 32, 291, 1244, 44, 1709, 295, 291, 16682, 44, 324, 429, 1709, 295, 324, 429, 28530, 318, 291, 2129, 44, 901, 203, 9971, 81, 10270, 81, 9854, 44, 284, 429, 16560, 284, 429, 16560, 81, 3963, 203, 2116, 44, 284, 429, 313, 17505, 8605, 1258, 290, 292, 4750, 11931, 17585, 81, 37017, 90, 4731, 203, 9592, 203, 1460, 39189, 280, 5881, 284, 429, 636, 44, 2648, 600, 24144, 739, 623, 1244, 2075, 397, 16560, 81, 3925, 81, 23724, 470, 44, 291, 636, 44, 1672, 23724, 470, 291, 3894, 44, 40283, 352, 291, 2869, 81, 1363, 44, 15593, 284, 429, 636, 44, 2648, 600, 24144, 739, 623, 20174, 2075, 397, 16560, 81, 3925, 81, 23724, 470, 44, 291, 636, 44, 1672, 23724, 470, 291, 3894, 44, 40283, 352 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 465, 5741, 203, 465, 1133, 203, 1270, 44, 284, 1188, 4281, 1260, 619, 2361, 203, 7343, 29986, 44, 284, 1188, 2361, 203, 1070, 2322, 315, 81, 2304, 1188, 1188, 2304, 203, 465, 5167, 203, 1070, 2334, 335, 329, 826, 32, 26878, 32, 2282, 1114, 91, 35, 42, 96, 1188, 617, 203, 1070, 2334, 335, 329, 826, 32, 26878, 32, 2282, 32, 33721, 826, 1188, 14735, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 4808, 1486, 26, 1473, 711, 284, 1256, 81, 4867, 280, 313, 1588, 335, 329, 826, 32, 26878, 32, 2282, 32, 33721, 826, 20, 284, 665, 1156, 1664, 3207, 784, 30, 353, 3796, 81, 2796, 30, 353, 6699, 81, 426, 47, 2521, 30, 353, 6998, 81, 681, 347, 923, 2413, 392, 353, 4707, 81, 639, 47, 2521, 30, 353, 6144, 47, 1815, 30, 353, 6445, 47, 2521, 30, 353, 5868, 47, 2521, 30, 353, 20873, 2052, 47, 2700, 30, 353, 1202, 2582, 81, 2496, 424, 47, 2521, 30, 353, 4588, 47, 2700, 30, 353, 1256, 81, 4867, 47, 2521, 30, 353, 1913, 47, 2521, 711, 291, 630, 32, 2393, 81, 2796, 280, 3796, 81, 2796, 291, 630, 32, 7986, 81, 681, 280, 6998, 81, 681, 291, 630, 32, 3419, 81, 426, 280, 6699, 81, 426, 291, 630, 32, 7318, 81, 639, 280, 4707, 81, 639, 291, 630, 32, 5457, 280, 5868, 291, 630, 32, 6967, 280, 6144, 291, 630, 32, 6989, 280, 6445, 291, 630, 32, 678, 2582, 81, 2496, 424, 280, 1202, 2582, 81, 2496, 424, 291, 630, 32, 2811, 280, 4588, 291, 630, 32, 496, 81, 4867, 280, 1256, 81, 4867, 556, 630, 32, 496, 81, 4867, 291, 630, 32, 5571, 280, 1605, 16189, 630, 32, 15180, 2052, 280, 20873, 2052, 291, 630, 32, 525, 280, 1913, 556, 5167, 32, 3135, 346, 291, 630, 32, 10569, 81, 1956, 280, 1665, 284, 665, 617, 525, 81, 751, 81, 2403, 26, 784, 30, 1411, 30, 1984, 30, 10306, 711, 291, 415, 646, 630, 32, 2811, 44, 324, 442, 291, 802, 81, 10031, 280, 428, 324, 313, 9511, 429, 91, 392, 324, 4825, 74, 6611, 101, 7362, 904, 1411, 30, 324, 5335, 23, 101, 7362, 904, 1984, 30, 291, 1481, 291, 436, 1994, 328, 10306, 710, 5078, 12132, 324, 3338, 280, 4825, 58, 6611, 101, 44, 904, 101, 7362, 904, 308, 2543, 30, 10306, 710, 5078, 8150, 2543, 1130, 324, 802, 81, 10031, 32, 1689, 26, 2111, 27, 291, 617, 4073, 32, 2811, 440, 4858, 44, 904, 101, 20, 904, 313, 4939, 2524, 26, 800, 81, 10031, 490, 291, 415, 330, 605, 25, 328, 10306, 44, 324, 617, 4073, 32, 2811, 440, 4858, 551, 48310, 44, 904, 101, 78, 96, 20, 904, 308, 5321, 710, 605, 7698, 284, 665, 617, 525, 81, 751, 81, 5243, 26, 784, 30, 5127, 711, 291, 415, 646, 630, 32, 2811, 44, 324, 442, 291, 617, 4073, 32, 2811, 26, 324, 313, 15812, 44, 18025, 101, 79, 904, 101, 78, 96, 392, 324, 5127, 32, 1517, 81, 687, 30, 324, 5127, 32, 5078, 27, 291, 415, 5127, 1114, 1286, 81, 43718, 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, 0, 1, 1, 1, 1, 3, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 6, 6, 5, 7, 7, 7, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 6, 5, 6, 4, 4, 4, 6, 6, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 4, 4, 6, 6, 5, 6, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 7, 7, 8, 9, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 7, 9, 10, 9, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 4, 4, 7, 7, 6, 6, 7, 7, 9, 9, 9, 9, 7, 7, 10, 10, 10, 10, 8, 8, 7, 7, 7, 10, 10, 10, 8, 8, 7, 7, 7, 4, 4, 5, 5, 5, 6, 8, 8, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 10, 10, 12, 14, 14, 12, 11, 6, 6, 10, 10, 9, 10, 9, 10, 9, 4, 4, 8, 7, 8, 7, 10, 10, 10, 10, 10, 8, 8, 12, 11, 10, 11, 11, 11, 10, 4, 4, 5, 8, 8, 6, 6, 5, 5, 5, 10, 9, 10, 9, 12, 12, 12, 12, 12, 12, 13, 13, 12, 10, 10, 13, 12, 14, 14, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 7, 8, 5, 5, 5, 4, 4, 8, 7, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 10, 10, 9, 7, 7, 8, 9, 9, 9, 7, 7, 7, 8, 9, 7, 4, 4, 5, 6, 7, 7, 7, 5 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 5, 5, 0, 6, 6, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 0, 0, 5, 2, 2, 2, 2, 0, 0, 7, 1, 1, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 11, 2, 2, 2, 2, 13, 2, 2, 2, 2, 15, 2, 2, 2, 2, 0, 17, 2, 2, 2, 2, 0, 0, 0, 0, 19, 2, 2, 2, 2, 21, 2, 2, 2, 2, 0, 0, 23, 2, 2, 2, 2, 25, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 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, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 3, 3, 2, 2, 2, 1, 1, 1, 5, 5, 2, 2, 2, 4, 4, 2, 2, 2, 3, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 3, 5, 5, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 2, 1, 1, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 2, 0, 0, 0, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 2, 1, 4, 4, 2, 1, 2, 2, 2, 2 ]
[ 465, 42406, 203, 465, 2322, 203, 465, 45301, 983, 203, 1270, 44, 284, 645, 35381, 1188, 4361, 619, 35381, 81, 1658, 203, 7343, 29986, 44, 284, 1188, 4361, 619, 35381, 81, 1658, 203, 1070, 44524, 1188, 44524, 203, 1070, 298, 385, 106, 32, 28640, 32, 1320, 1188, 6673, 203, 1070, 298, 385, 106, 32, 28640, 32, 2423, 3423, 1188, 14096, 6333, 203, 1070, 298, 385, 106, 32, 28640, 32, 2285, 1188, 1778, 81, 1286, 81, 2516, 203, 1070, 298, 385, 106, 32, 10031, 32, 2050, 1188, 6673, 2256, 203, 1070, 298, 385, 106, 32, 1040, 1188, 42251, 203, 823, 4361, 26, 2639, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1742, 426, 30, 1795, 81, 681, 30, 11589, 30, 1447, 30, 16765, 47, 2521, 711, 291, 2599, 26, 1658, 30, 630, 14585, 1664, 3207, 2050, 426, 30, 1795, 81, 681, 30, 11589, 27, 291, 630, 1114, 407, 280, 1447, 291, 630, 1114, 13425, 280, 16765, 284, 477, 17614, 284, 665, 537, 26, 6933, 30, 1742, 426, 30, 4791, 81, 761, 711, 291, 16765, 30, 1447, 30, 1795, 81, 681, 30, 11589, 280, 9011, 1114, 944, 81, 1070, 81, 761, 26, 1275, 81, 761, 27, 291, 1778, 280, 9011, 26, 2050, 426, 30, 1795, 81, 681, 30, 11589, 30, 1447, 30, 16765, 27, 291, 442, 1778, 284, 477, 2433, 284, 665, 1447, 26, 784, 711, 291, 442, 630, 1114, 407, 284, 477, 17614, 284, 665, 2454, 26, 6933, 30, 1742, 426, 30, 1795, 81, 681, 30, 11589, 30, 2652, 711, 291, 1447, 280, 45301, 983, 32, 48271, 26, 2050, 426, 5594, 35, 79, 291, 442, 9011, 26, 2050, 426, 30, 1795, 81, 681, 30, 11589, 30, 1447, 27, 284, 477, 2433, 284, 665, 617, 3801, 26, 784, 711, 291, 415, 630, 1114, 13425, 438, 646, 1665, 44, 324, 442, 2322, 32, 983, 32, 2998, 26, 784, 1114, 13425, 5594, 35, 79, 291, 442, 330, 893, 15231, 101, 25, 904, 630, 32, 407, 284, 477, 16099, 284, 665, 617, 407, 81, 1070, 81, 893, 81, 2238, 26, 2238, 711, 291, 1447, 81, 1110, 280, 301, 324, 330, 57, 2952, 950, 330, 7876, 370, 330, 30671, 950, 330, 3072, 370, 330, 17189, 950, 330, 1645, 370, 330, 1926, 1139, 950, 330, 37002, 370, 324, 330, 9050, 56, 950, 330, 105, 10576, 25, 291, 320, 291, 3443, 32, 14408, 26, 34, 27, 291, 2179, 280, 35381, 81, 1658, 32, 1676, 26, 2238, 547, 1643, 291, 415, 2179, 646, 328, 1447, 81, 1110, 44, 324, 42963, 280, 313, 34019, 1778, 2179, 30, 2799, 1591, 432, 44, 904, 101, 30, 5424, 6611, 101, 7362, 324, 3636, 10091, 26, 32138, 904, 308, 407, 81, 1110, 32, 3494, 1026, 2179, 490, 291, 442, 1447, 81, 1110, 77, 1643, 79, 284, 477, 16099, 284, 665, 617, 893, 81, 407, 81, 1286, 81, 681, 26, 407, 711, 291, 1202, 280, 1447, 32, 5729, 346, 291, 415, 1202, 646, 328, 1778, 81, 1286, 81, 2516, 44, 324, 42963, 280, 313, 34019, 1778, 803, 5016, 6611, 101, 7362, 324, 3636, 10091, 26, 32138, 904, 308, 407, 490, 291, 1795, 81, 681, 280, 1778, 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, 3, 0, 1, 1, 1, 1, 3, 3, 3, 4, 4, 5, 5, 1, 2, 2, 2, 2, 2, 4, 5, 5, 6, 6, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 9, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 8, 8, 8, 8, 9, 9, 8, 8, 7, 7, 9, 10, 10, 10, 10, 10, 9, 10, 10, 10, 9, 5, 5, 7, 7, 9, 10, 10, 9, 9, 10, 10, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 6, 5, 5, 6, 6, 5, 5, 5, 5, 5, 4, 4, 7, 7, 11, 10, 11, 10, 11, 11, 10, 9, 8, 5, 5, 6, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 8, 9, 7, 7, 7, 6, 6, 6, 8, 12, 13, 11, 12, 11, 13, 12, 13, 11, 10, 9, 5, 5, 6, 9, 9, 9, 9, 7, 7, 8, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 8, 8, 11, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 8, 11, 11, 9, 11, 11, 8, 11, 11, 11, 9, 11, 11, 8, 8, 11, 11, 11, 9, 11, 11, 11, 8, 8, 5, 5, 8, 9, 8, 9, 8, 5, 5, 7, 7, 11, 11, 10, 11, 10, 11, 10, 9, 5, 5, 6, 7, 7, 7, 8, 8, 6, 6, 6, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 8, 10, 12, 11, 11, 15, 15, 15, 14, 15, 14, 12, 12, 5, 5, 6, 8, 8, 7, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 9, 10, 9, 5, 5, 6, 7, 7, 7, 8, 8, 8, 8, 6, 6, 6, 9, 9, 11, 11, 11, 11, 11, 11, 11, 7, 7, 8, 10, 12, 11, 11, 13, 12, 5, 5, 8, 8, 7, 7, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 0, 0, 1, 2, 1, 4, 4, 6, 6, 0, 0, 7, 7, 0, 0, 1, 2, 1, 4, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 0, 0, 1, 2, 9, 9, 0, 10, 10, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 11, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 4, 4, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 4, 4, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 2, 5, 1, 2, 2, 1, 1, 2, 7, 1, 2, 2, 2, 1, 1, 2, 9, 1, 1, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 2, 3, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 4, 4, 4, 0, 0, 1, 2, 1, 4, 4, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 20654, 203, 1070, 13625, 1188, 31466, 203, 1070, 11385, 36492, 32, 1262, 32, 17154, 1188, 358, 203, 1070, 11385, 36492, 32, 1262, 32, 14951, 1188, 41305, 203, 1070, 11385, 36492, 32, 1262, 32, 7010, 1188, 12450, 30, 624, 752, 30, 25189, 203, 1070, 11385, 36492, 32, 1262, 32, 34575, 1188, 516, 13730, 203, 1070, 11385, 36492, 32, 1262, 32, 669, 1188, 2222, 203, 1070, 11385, 36492, 32, 1262, 32, 8829, 1188, 34204, 203, 1070, 11385, 36492, 32, 1262, 1188, 11385, 317, 1147, 203, 1070, 11385, 36492, 32, 41003, 1188, 25206, 30, 13458, 3351, 421, 30, 13458, 3351, 449, 5019, 203, 1070, 11385, 36492, 32, 2594, 5232, 1188, 10932, 30, 10932, 81, 311, 18638, 318, 81, 47058, 203, 1070, 11385, 36492, 32, 3415, 1269, 1188, 15806, 30, 2063, 97, 30, 43422, 30, 456, 4072, 30, 33032, 30, 1056, 692, 203, 1070, 11385, 36492, 32, 8239, 1188, 7395, 12563, 30, 10365, 564, 30, 36643, 299, 9168, 564, 30, 559, 12466, 9168, 564, 203, 1070, 11385, 36492, 32, 44497, 1188, 9320, 30, 11969, 271, 269, 2531, 203, 1070, 11385, 36492, 32, 48126, 1188, 4054, 203, 1070, 11385, 36492, 32, 1262, 32, 29143, 1188, 1244, 81, 3323, 81, 678, 30, 35198, 203, 1070, 11385, 36492, 32, 16064, 32, 1731, 6975, 1188, 1451, 318, 81, 19111, 203, 589, 540, 19596, 81, 8541, 26, 47058, 30, 296, 30, 310, 30, 1115, 25335, 711, 284, 296, 280, 11385, 317, 1147, 26, 88, 27, 284, 415, 646, 296, 32, 297, 81, 3415, 15348, 26, 96, 711, 291, 442, 1665, 284, 29134, 36618, 280, 296, 32, 297, 81, 6158, 284, 540, 280, 2069, 26, 47058, 27, 429, 225, 35, 284, 35139, 101, 280, 428, 15806, 26, 19679, 30, 310, 27, 436, 35139, 328, 35139, 101, 1481, 284, 7743, 1269, 280, 428, 15806, 26, 34, 30, 310, 27, 1481, 319, 308, 100, 474, 225, 35, 27, 284, 5955, 280, 428, 308, 69, 32, 8039, 30, 358, 32, 17152, 25237, 27, 1481, 10692, 100, 474, 225, 35, 27, 284, 436, 595, 328, 35198, 26, 34, 30, 540, 474, 225, 35, 711, 291, 436, 594, 328, 35198, 26, 91, 30, 540, 474, 225, 35, 711, 324, 7743, 1269, 77, 91, 79, 1454, 35139, 101, 77, 92, 6603, 1771, 12563, 26, 92, 30, 595, 27, 291, 415, 646, 7743, 1269, 77, 91, 997, 297, 81, 6158, 44, 324, 308, 2832, 28020, 35139, 280, 7743, 1269, 77, 91, 997, 11704, 346, 324, 5955, 77, 91, 79, 280, 308, 19679, 30, 2910, 27, 284, 343, 280, 323, 280, 5955, 77, 34, 1674, 35, 79, 284, 436, 595, 328, 35198, 26, 35, 30, 540, 474, 225, 35, 711, 291, 415, 5955, 77, 91, 1674, 35, 79, 848, 343, 44, 324, 343, 280, 5955, 77, 91, 1674, 35, 79, 291, 415, 5955, 77, 91, 1674, 35, 79, 429, 595, 848, 323, 44, 324, 323, 280, 5955, 77, 91, 1674, 35, 79, 429, 595, 284, 343, 30, 323, 280, 629, 26, 86, 471, 629, 26, 84, 27, 284, 816, 280, 25189, 463, 106, 683, 284, 14513, 81, 8541, 280, 358, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 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, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 2, 1, 1, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 4, 6, 7, 7, 7, 7, 6, 7, 6, 3, 3, 5, 2, 2, 5, 4, 4, 5, 6, 6, 6, 2, 2, 4, 4, 7, 8, 7, 5, 5, 6, 2, 2, 5, 4, 4, 5, 7, 8, 7, 7, 7, 5, 6, 6, 6, 7, 5, 2, 2, 5, 4, 4, 6, 8, 9, 8, 8, 8, 6, 5, 5, 8, 7, 7, 8, 6, 2, 2, 4, 4, 6, 9, 8, 9, 7, 7, 8, 9, 9, 7, 6, 5, 8, 7, 7, 8, 6, 2, 2, 3, 3, 3, 5, 6, 5, 5, 6, 6, 7, 5, 3, 3, 5, 5, 5, 7, 8, 7, 7, 8, 8, 9, 7, 5, 5, 10, 9, 10, 9, 8, 8, 11, 10, 11, 10, 11, 11, 11, 12, 11, 11, 11, 4, 4, 5, 6, 9, 8, 9, 8, 8, 8, 8, 5, 5, 5, 11, 10, 9, 8, 8, 12, 11, 12, 11, 11, 10, 6, 6, 9, 10, 9, 8, 8, 10, 9, 9, 9, 2, 2, 4, 4, 5, 5, 7, 8, 7, 7, 6, 2, 2, 3, 3, 3, 5, 6, 5, 5, 6, 6, 7, 5, 3, 3, 5, 8, 9, 8, 8, 7, 6, 6, 5, 5, 5, 8, 8, 10, 11, 10, 10, 9, 4, 4, 5, 9, 10, 9, 9, 8, 7, 7, 6, 6, 5, 5, 5, 8, 8, 11, 12, 11, 11, 10, 9, 9, 2, 2, 5, 5, 4, 4, 7, 8, 7, 5, 7, 8, 7, 2, 2, 4, 4, 6, 8, 8, 2, 2, 5, 5, 4, 4, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 9, 9, 0, 1, 2, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 10, 10, 0, 1, 2, 2, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 1, 2, 2, 11, 11, 11, 11, 0, 11, 11, 11, 11, 0, 11, 11, 11, 11, 0, 0, 12, 12, 0, 1, 2, 12, 12, 0, 12, 12, 0, 12, 12, 0, 0, 0, 12, 12, 0, 0, 0, 0, 13, 13, 0, 1, 2, 13, 13, 13, 13, 0, 0, 0, 0, 14, 14, 0, 1, 2, 14, 14, 0, 15, 15, 0, 1, 2, 1, 4, 15, 15, 0, 0, 0, 0, 15, 15, 0, 16, 16, 0, 1, 2, 1, 4, 4, 16, 16, 0, 0, 0, 0, 17, 17, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 17, 17, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 4, 4, 7, 7, 7, 1, 1, 1, 1, 3, 3, 2, 1, 7, 7, 0, 0, 0, 1, 1, 1, 1, 3, 3, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 3, 3, 0, 2, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 0, 2, 2, 4, 4, 9, 9, 9, 1, 1, 1, 1, 3, 3, 2, 1, 9, 9, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 5, 5, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2 ]
[ 465, 6436, 619, 2065, 203, 1070, 18414, 1188, 12388, 203, 1070, 18414, 32, 42680, 1188, 7396, 101, 30, 35006, 17770, 108, 203, 1070, 15223, 12813, 1114, 28771, 32, 11476, 81, 7295, 35, 86, 1188, 308, 12267, 10760, 35, 54, 30, 4180, 23998, 12267, 10760, 35, 54, 27, 203, 1070, 15223, 12813, 32, 14481, 32, 87, 9859, 32, 4280, 1188, 484, 9859, 81, 8662, 203, 823, 15336, 16707, 2447, 81, 22672, 44, 284, 617, 7295, 81, 681, 280, 313, 16475, 16707, 2447, 20, 284, 617, 7909, 81, 7295, 81, 2516, 280, 3037, 15931, 16707, 667, 1446, 284, 665, 622, 81, 2171, 81, 1028, 81, 27129, 81, 17916, 101, 26, 784, 30, 32229, 30, 41008, 47, 2700, 711, 291, 540, 2993, 12375, 322, 1451, 432, 19043, 20586, 101, 1471, 322, 19196, 292, 296, 31, 1036, 291, 5750, 32, 291, 886, 19196, 292, 296, 31, 1036, 5750, 13344, 11318, 277, 372, 3134, 13183, 432, 322, 19043, 291, 1451, 308, 2970, 428, 29826, 581, 267, 36, 34, 35, 35, 21258, 471, 1168, 486, 35, 461, 1168, 486, 36, 44, 324, 4377, 7744, 403, 400, 310, 24718, 27896, 109, 8643, 5290, 35, 22001, 280, 310, 24718, 27896, 109, 8643, 35247, 1873, 3736, 78, 4656, 78, 1873, 4987, 20094, 26613, 35, 4104, 990, 5421, 990, 27, 291, 461, 44, 324, 4377, 7744, 403, 400, 310, 24718, 27896, 109, 8643, 5290, 36, 22001, 280, 310, 24718, 27896, 109, 8643, 35247, 1873, 4987, 20094, 5290, 36, 4104, 990, 27, 291, 1348, 1411, 35560, 461, 442, 4335, 32, 291, 8350, 291, 13510, 291, 32229, 44, 1897, 324, 5104, 432, 27898, 308, 271, 45668, 27, 1292, 4201, 6864, 432, 322, 324, 3964, 32, 291, 41008, 499, 1560, 324, 1670, 3177, 9169, 322, 1451, 432, 19043, 20586, 101, 973, 372, 322, 324, 12224, 13065, 31, 5410, 432, 322, 29565, 32, 1670, 2933, 30, 9169, 322, 324, 1451, 432, 19043, 20586, 101, 619, 312, 667, 432, 322, 13065, 31, 5410, 973, 324, 372, 322, 12224, 13065, 31, 5410, 432, 322, 29565, 32, 319, 1815, 438, 1755, 5420, 324, 810, 36199, 4997, 21962, 2784, 225, 34, 32, 35, 37, 32, 36, 8440, 291, 3759, 291, 14761, 291, 1168, 486, 35, 30, 1168, 486, 36, 44, 19555, 35, 54, 324, 19555, 35, 54, 6942, 6621, 1168, 486, 35, 461, 1168, 486, 36, 32, 886, 7060, 461, 324, 10538, 13135, 884, 322, 2432, 619, 322, 1550, 7060, 415, 324, 529, 12018, 82, 438, 2933, 30, 5878, 322, 7060, 8742, 438, 225, 34, 324, 461, 322, 10538, 8742, 438, 322, 2432, 619, 322, 1550, 324, 7060, 32, 291, 13907, 291, 22253, 291, 4377, 428, 29826, 581, 267, 36, 34, 35, 35, 79, 23480, 516, 89, 581, 267, 30, 313, 34434, 29094, 31, 16635, 291, 32635, 4160, 2991, 328, 322, 27498, 18151, 3473, 392, 10892, 10118, 31, 4303, 17797, 30, 225, 36, 34, 35, 35, 32, 291, 1524, 291, 345, 34, 280, 12388, 32, 853, 440, 17916, 12697, 657, 291, 23477, 34, 280, 12388, 32, 20094, 81, 34, 28867, 420, 1632, 280, 12388, 32, 90, 1632, 2407, 831, 280, 225, 36, 319, 23477, 34, 319, 345, 34, 517, 308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 6, 6, 8, 9, 8, 10, 10, 10, 4, 4, 7, 6, 6, 7, 8, 8, 8, 4, 4, 7, 6, 6, 8, 9, 9, 7, 7, 7, 7, 11, 10, 10, 11, 9, 9, 10, 8, 8 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 4, 4, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 1, 6, 4, 4, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 3, 3 ]
[ 109, 284, 330, 426, 950, 330, 12921, 16918, 101, 3270, 370, 284, 330, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 965, 950, 330, 525, 555, 10574, 6126, 32, 1299, 33, 520, 749, 98, 31, 1152, 25836, 31, 23403, 370, 284, 330, 2116, 950, 330, 6790, 8695, 98, 358, 32, 51, 6418, 284, 330, 12787, 950, 330, 525, 555, 3815, 27784, 32, 331, 32, 2446, 370, 284, 330, 3153, 950, 330, 21390, 17697, 370, 284, 330, 47201, 950, 330, 15215, 370, 284, 330, 2310, 950, 1524, 2272, 2297, 10476, 312, 6613, 372, 322, 636, 32, 284, 3330, 392, 284, 330, 27263, 950, 428, 291, 330, 3935, 81, 8919, 370, 284, 2505, 284, 330, 1664, 81, 2593, 950, 5518, 284, 330, 6380, 81, 2593, 950, 5518, 284, 330, 1877, 81, 2593, 950, 5518, 284, 330, 2077, 950, 330, 1614, 2743, 31, 37, 370, 284, 330, 3789, 444, 950, 2933, 30, 284, 330, 2480, 950, 3177, 30, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2, 2, 2, 5, 5, 3, 5, 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, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 5, 5, 3, 2, 2, 5, 5, 5, 5, 3, 2, 2, 5, 5, 5, 5, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 3, 2, 2, 2, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 1, 1, 2, 0, 0, 1, 2, 13, 1, 2, 0, 0, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 17, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 19, 0, 0, 1, 1, 1, 2, 21, 0, 0, 1, 1, 1, 2, 23, 0, 0, 1, 2, 25, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 27, 0, 0, 0, 1, 2, 29, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 1070, 29346, 32, 18986, 1188, 4281, 81, 3613, 203, 1070, 29346, 32, 1262, 32, 11514, 32, 11226, 1188, 47553, 81, 19681, 203, 1070, 29346, 32, 1262, 32, 11514, 32, 11226, 1188, 25103, 203, 823, 18883, 5264, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 4395, 81, 7212, 711, 284, 630, 1114, 3613, 81, 7212, 280, 4395, 81, 7212, 284, 630, 1114, 12084, 81, 4680, 280, 225, 34, 334, 665, 20530, 26, 784, 711, 284, 630, 1114, 12084, 81, 4680, 1454, 225, 35, 284, 415, 630, 1114, 12084, 81, 4680, 610, 225, 35, 44, 397, 630, 1114, 3613, 81, 7212, 32, 885, 1043, 26, 35, 34, 27, 397, 442, 330, 1365, 3986, 1446, 25, 284, 4348, 630, 1114, 12084, 81, 4680, 610, 225, 36, 44, 397, 630, 1114, 3613, 81, 7212, 32, 885, 1043, 26, 36, 34, 27, 397, 442, 330, 1365, 1632, 1446, 25, 284, 4348, 630, 1114, 12084, 81, 4680, 610, 225, 37, 44, 397, 630, 1114, 3613, 81, 7212, 32, 885, 1043, 26, 37, 39, 27, 397, 3636, 25103, 32, 19443, 46146, 346, 284, 4348, 630, 1114, 12084, 81, 4680, 610, 225, 38, 44, 397, 630, 1114, 3613, 81, 7212, 32, 885, 1043, 26, 39, 34, 27, 397, 3636, 25103, 32, 19443, 46146, 346, 284, 4348, 630, 1114, 12084, 81, 4680, 610, 225, 39, 44, 397, 630, 1114, 3613, 81, 7212, 32, 885, 1043, 26, 40, 34, 27, 397, 442, 330, 1365, 12448, 1446, 25, 284, 4348, 630, 1114, 12084, 81, 4680, 610, 225, 40, 44, 397, 630, 1114, 3613, 81, 7212, 32, 885, 1043, 26, 41, 34, 27, 397, 442, 330, 1365, 1959, 1446, 25, 334, 665, 739, 5457, 26, 784, 30, 5868, 711, 284, 3097, 203, 589, 617, 68, 3002, 1125, 984, 26819, 2176, 17517, 81, 1003, 711, 334, 3636, 203, 589, 617, 2555, 17990, 984, 26819, 2176, 17517, 81, 1003, 711, 334, 3097, 203, 823, 18751, 12493, 49124, 3010, 858, 26, 18986, 32, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 630, 1114, 3613, 81, 7212, 280, 4281, 81, 3613, 32, 3660, 6421, 26, 36355, 81, 19681, 27, 334, 665, 28921, 26, 784, 711, 284, 630, 1114, 3613, 81, 7212, 32, 14897, 346, 334, 665, 894, 7179, 6253, 14877, 9107, 39959, 1512, 3582, 26, 784, 711, 284, 47553, 280, 47553, 81, 19681, 32, 19269, 49124, 26, 397, 9196, 81, 4531, 47, 5962, 706, 44, 2933, 30, 397, 1048, 81, 4531, 11645, 68, 3002, 1125, 984, 26819, 27, 284, 47553, 1114, 4817, 280, 18883, 5264, 26, 784, 1114, 3613, 81, 7212, 27, 284, 623, 630, 32, 23895, 26, 397, 47553, 81, 19681, 32, 7179, 16488, 14877, 9107, 46146, 711, 397, 47553, 32, 7179, 16488, 14877, 9107, 26, 35, 36, 27, 334, 665, 894, 7179, 6253, 14877, 9107, 39959, 1512, 8617, 26, 784, 711, 284, 47553, 280, 47553, 81, 19681, 32, 19269, 49124, 26, 397, 9196, 81, 4531, 47, 5962, 706, 44, 2933, 30, 397, 1048, 81, 4531, 11645, 2555, 17990, 984, 26819, 27, 284, 47553, 1114, 4817, 280, 18883, 5264, 26, 784, 1114, 3613, 81, 7212, 27, 284, 623, 630, 32, 23895 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 5, 5, 5, 10, 11, 11, 11, 9, 10, 10, 9, 10, 10, 9, 6, 6, 7, 9, 9, 9, 9, 5, 5, 6, 8, 9, 9, 9, 7, 7, 8, 6, 6, 6, 11, 12, 12, 12, 10, 11, 11, 10, 11, 11, 10, 7, 7, 8, 10, 10, 10, 10, 5, 5, 6, 8, 9, 9, 9, 7, 7, 8, 6, 6, 6, 11, 12, 12, 12, 10, 11, 11, 10, 11, 11, 10, 7, 7, 8, 10, 11, 11, 10, 5, 5, 6, 8, 9, 9, 9, 7, 7, 8, 6, 6, 6, 11, 12, 12, 12, 10, 11, 11, 10, 11, 11, 10, 7, 7, 8, 10, 11, 11, 10, 5, 5, 6, 8, 9, 9, 9, 7, 7, 8, 6, 6, 6, 11, 12, 12, 12, 10, 11, 11, 10, 11, 11, 10, 7, 7, 8, 10, 10, 10, 10, 5, 5, 6, 8, 9, 9, 9, 7, 7, 8, 6, 6, 6, 11, 12, 12, 12, 10, 11, 11, 10, 11, 11, 10, 7, 7, 8, 10, 10, 10, 10, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 9, 9, 8, 9, 9, 8, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 8, 8, 8, 10, 10, 9, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 9, 10, 9, 9, 9, 11, 11, 10, 11, 11, 11, 11, 11, 9, 5, 5, 9, 10, 10, 10, 10, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 9, 8, 8, 8, 10, 10, 9, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 8, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 9, 10 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 4, 0, 2, 2, 2, 1, 1, 2, 4, 4, 4, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 5, 0, 2, 2, 2, 1, 1, 2, 5, 5, 5, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 0, 2, 2, 1, 1, 1, 6, 0, 2, 2, 2, 1, 1, 2, 6, 6, 6, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 0, 2, 2, 1, 1, 1, 7, 0, 2, 2, 2, 1, 1, 2, 7, 7, 7, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 8, 0, 2, 2, 2, 1, 1, 2, 8, 8, 8, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 5, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 7, 7, 1, 1, 1, 1, 2, 0, 1, 2, 2, 7, 7, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 2, 0, 2 ]
[ 465, 15798, 203, 1070, 2417, 29143, 1188, 44524, 203, 1070, 4377, 4313, 8239, 1188, 617, 2593, 81, 452, 81, 668, 203, 1070, 2417, 40746, 1188, 6337, 7159, 203, 823, 2108, 1465, 17349, 2986, 7159, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 35320, 81, 2593, 81, 761, 26, 784, 711, 291, 630, 32, 1449, 7832, 280, 1665, 291, 23818, 280, 44524, 346, 291, 38534, 280, 6337, 7159, 346, 291, 38534, 1114, 470, 81, 761, 2956, 26, 13410, 27, 291, 38534, 32, 1613, 346, 291, 38534, 32, 1821, 463, 51, 35, 370, 225, 35, 27, 291, 38534, 32, 1821, 463, 51, 36, 370, 225, 36, 27, 291, 38534, 32, 1821, 463, 51, 37, 370, 225, 37, 27, 291, 38534, 32, 1821, 463, 51, 38, 370, 225, 38, 27, 291, 38534, 32, 1821, 463, 51, 39, 370, 225, 39, 27, 291, 38534, 32, 1821, 463, 51, 40, 370, 225, 40, 27, 291, 38534, 32, 1821, 463, 51, 41, 370, 225, 41, 27, 291, 38534, 32, 1821, 463, 51, 42, 370, 225, 42, 27, 291, 38534, 32, 1821, 463, 51, 43, 370, 225, 43, 27, 291, 38534, 32, 1821, 463, 51, 35, 34, 370, 225, 35, 34, 27, 291, 38534, 32, 1821, 463, 51, 35, 35, 370, 225, 35, 35, 27, 291, 38534, 32, 1821, 463, 51, 35, 36, 370, 225, 35, 36, 27, 291, 38534, 32, 25065, 81, 1643, 463, 51, 35, 44, 51, 35, 36, 370, 5053, 681, 950, 330, 605, 81, 1632, 18143, 291, 38534, 1114, 35320, 81, 2593, 81, 761, 346, 291, 2910, 280, 617, 2593, 81, 452, 81, 668, 27265, 400, 4143, 2593, 1503, 347, 35, 32, 34, 20, 7328, 347, 6261, 31, 42, 20, 27933, 347, 7134, 35254, 400, 333, 40746, 12048, 347, 525, 555, 14331, 32, 1676, 18974, 48869, 1966, 32, 1088, 33, 35168, 696, 33, 36, 34, 34, 40, 33, 1831, 20, 12048, 44, 100, 347, 525, 555, 14331, 32, 1676, 18974, 48869, 1966, 32, 1088, 33, 12789, 3092, 33, 36, 34, 34, 40, 33, 40186, 413, 1750, 333, 11694, 2488, 347, 51, 35, 44, 51, 35, 36, 3537, 1750, 333, 7159, 12028, 48, 528, 333, 7159, 1074, 4878, 4544, 347, 35, 20, 38550, 1074, 606, 347, 34, 3537, 1750, 576, 7159, 12028, 48, 1750, 333, 7159, 2207, 2143, 1244, 2352, 3024, 347, 35, 39, 3537, 1750, 333, 7159, 750, 48, 528, 333, 643, 540, 347, 35, 20, 34157, 347, 35, 44, 35, 413, 2855, 333, 85, 540, 347, 51, 35, 413, 715, 333, 104, 48, 35, 377, 104, 48, 2855, 576, 85, 48, 528, 576, 643, 48, 528, 333, 643, 540, 347, 36, 20, 34157, 347, 35, 44, 35, 413, 2855, 333, 85, 540, 347, 51, 36, 413, 715, 333, 104, 48, 36, 377, 104, 48, 2855, 576, 85, 48, 528, 576, 643, 48, 528, 333, 643, 540, 347, 37, 20, 34157, 347, 35, 44, 35, 413, 2855, 333, 85, 540, 347, 51, 37, 413, 715, 333, 104, 48, 37, 377, 104, 48, 2855, 576, 85, 48, 528, 576, 643, 48, 528, 333, 643, 540, 347, 38, 20, 34157, 347, 35, 44, 35, 413, 2855 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 4, 4, 6, 6, 8, 4, 4, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 11, 11, 9, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 1, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 49093, 1188, 596, 203, 465, 4395, 203, 1070, 24764, 36, 1580, 32, 1580, 1188, 8258, 1763, 10103, 203, 465, 15798, 203, 465, 33886, 360, 32, 45695, 203, 465, 33886, 360, 32, 1819, 203, 823, 19205, 101, 26, 18986, 32, 7233, 711, 334, 477, 3613, 32, 2675, 463, 27201, 360, 32, 45695, 1114, 1237, 32, 2551, 32, 1274, 605, 81, 668, 683, 334, 477, 3613, 32, 2675, 463, 27201, 360, 32, 45695, 1114, 1237, 32, 2551, 32, 10331, 81, 3215, 81, 1217, 683, 334, 477, 3613, 32, 2675, 463, 27201, 360, 32, 45695, 1114, 1237, 32, 2551, 32, 10331, 81, 1217, 81, 4295, 683, 334, 477, 3613, 32, 2675, 463, 27201, 360, 32, 45695, 1114, 1237, 32, 2551, 32, 10331, 81, 371, 683, 334, 477, 3613, 32, 2675, 463, 27201, 360, 32, 45695, 1114, 1237, 32, 2551, 32, 11278, 81, 371, 683, 334, 665, 894, 81, 6270, 81, 1267, 81, 1217, 26, 784, 30, 4395, 81, 1237, 81, 11278, 81, 371, 30, 4395, 81, 1237, 81, 10331, 81, 371, 30, 7686, 4395, 81, 1237, 81, 10331, 81, 1217, 81, 4295, 30, 4395, 81, 1237, 81, 3215, 81, 1217, 30, 7686, 4395, 81, 1237, 81, 1274, 605, 81, 668, 711, 284, 4395, 81, 1237, 81, 11278, 81, 371, 32, 601, 81, 853, 280, 19205, 101, 1114, 1297, 81, 11278, 81, 371, 81, 1267, 346, 284, 4395, 81, 1237, 81, 10331, 81, 371, 32, 601, 81, 853, 280, 5053, 1517, 950, 5053, 1293, 950, 330, 25001, 21028, 284, 4395, 81, 1237, 81, 10331, 81, 1217, 81, 4295, 32, 601, 81, 853, 280, 5053, 3245, 7371, 950, 2933, 111, 284, 4395, 81, 1237, 81, 3215, 81, 1217, 32, 601, 81, 853, 280, 19205, 101, 1114, 1297, 81, 3215, 81, 5087, 81, 1267, 346, 284, 4395, 81, 1237, 81, 1274, 605, 81, 668, 32, 601, 81, 853, 280, 19205, 101, 1114, 1297, 81, 6270, 81, 643, 81, 1267, 346, 284, 5552, 280, 330, 4620, 1600, 35, 3753, 428, 1274, 79, 7445, 225, 35, 25, 284, 2678, 280, 19205, 101, 1114, 1297, 81, 1217, 26, 2602, 27, 284, 3276, 280, 2678, 32, 4295, 346, 284, 630, 32, 5299, 26, 2602, 30, 3276, 32, 2602, 27, 284, 630, 32, 5299, 463, 7846, 101, 9905, 904, 5552, 30, 2678, 1114, 13707, 81, 2602, 81, 1157, 284, 630, 32, 5299, 26, 2602, 30, 596, 26, 99, 490, 284, 630, 32, 5299, 26, 35, 30, 3276, 32, 1322, 27, 284, 1932, 81, 1267, 280, 3276, 77, 34, 79, 284, 630, 32, 5299, 463, 853, 35, 370, 1932, 81, 1267, 710, 1495, 35, 3490, 334, 477, 3613, 32, 2675, 463, 27201, 360, 32, 45695, 1114, 1237, 32, 2551, 32, 10331, 81, 3215, 81, 1217, 683, 334, 477, 3613, 32, 2675, 463, 27201, 360, 32, 45695, 1114, 1237, 32, 2551, 32, 10331, 81, 1217, 81, 4295, 683, 334, 477, 3613, 32, 2675, 463, 27201, 360, 32, 45695, 1114, 1237, 32, 2551, 32, 10331, 81, 371, 683, 334, 477, 3613, 32, 2675, 463, 27201, 360, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 5, 5, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 11, 11, 9, 13, 13, 11, 13, 13, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 11, 11, 11, 9, 8, 5, 5, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 7, 10, 9, 10, 10, 10, 9, 10, 9, 5, 5, 7, 7, 9, 10, 9, 5, 5, 8, 9, 8, 9, 8, 8, 9, 10, 8, 5, 5, 8, 9, 8, 11, 11, 11, 9, 9, 8, 8, 10, 11, 11, 11, 11, 10, 5, 5, 8, 9, 8, 9, 8, 8, 10, 11, 10, 5, 5, 8, 9, 8, 9, 8, 8, 9, 10, 8, 5, 5, 8, 8, 7, 7, 8, 9, 8, 5, 5, 8, 9, 8, 10, 10, 10, 8, 10, 10, 9, 11, 11, 11, 2, 2, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 7, 6, 7, 6, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 6, 6, 0, 1, 2, 0, 7, 7, 0, 1, 2, 0, 8, 8, 1, 2, 0, 1, 2, 2, 8, 8, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 5, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 9, 9, 9, 9, 9, 9, 2, 2, 2, 11, 11, 11, 11, 11, 11, 11, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 0, 3, 1, 1, 2, 4, 4, 0, 0, 2, 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, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1 ]
[ 465, 16951, 203, 1070, 18414, 1114, 1356, 1114, 9240, 2304, 1188, 739, 81, 9240, 81, 1293, 30, 16951, 81, 1293, 30, 1201, 81, 286, 21511, 30, 9494, 924, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 2228, 30, 29657, 203, 589, 894, 81, 470, 81, 9240, 81, 1293, 2262, 284, 16951, 81, 1517, 280, 16951, 32, 297, 6565, 346, 284, 1596, 44, 291, 436, 1603, 328, 308, 1815, 30, 3177, 711, 324, 16951, 32, 4898, 346, 324, 739, 81, 9240, 81, 1293, 26, 1293, 27, 324, 1201, 81, 2228, 26, 9240, 32, 297, 6565, 1026, 1603, 27, 324, 16951, 32, 5820, 346, 324, 739, 81, 9240, 81, 1293, 26, 1293, 27, 324, 1201, 81, 2228, 26, 9240, 32, 297, 6565, 1026, 1603, 27, 284, 8295, 44, 291, 415, 16951, 81, 1517, 44, 324, 16951, 32, 4898, 346, 203, 589, 894, 81, 9240, 81, 1293, 2262, 284, 16951, 81, 1517, 280, 16951, 32, 297, 6565, 346, 284, 1596, 44, 291, 436, 1406, 81, 1293, 328, 308, 1815, 30, 3177, 711, 324, 739, 81, 9240, 81, 1293, 26, 1001, 81, 1293, 27, 324, 436, 623, 81, 1293, 328, 308, 1815, 30, 3177, 711, 400, 623, 16951, 81, 1293, 26, 1793, 81, 1293, 711, 528, 1201, 81, 2228, 26, 9240, 32, 297, 6565, 1026, 623, 81, 1293, 27, 400, 1201, 81, 2228, 26, 9240, 32, 297, 6565, 1026, 1406, 81, 1293, 27, 400, 623, 16951, 81, 1293, 26, 1793, 81, 1293, 711, 528, 1201, 81, 2228, 26, 9240, 32, 297, 6565, 1026, 623, 81, 1293, 27, 528, 739, 81, 9240, 81, 1293, 26, 1206, 623, 81, 1293, 27, 400, 1201, 81, 2228, 26, 9240, 32, 297, 6565, 1026, 1406, 81, 1293, 27, 284, 8295, 44, 291, 415, 16951, 81, 1517, 44, 324, 16951, 32, 4898, 346, 203, 589, 894, 81, 862, 81, 286, 21511, 2262, 284, 443, 390, 26, 1473, 711, 291, 665, 1156, 1664, 3207, 784, 30, 1638, 34, 30, 1638, 35, 30, 636, 1057, 1772, 426, 7831, 324, 630, 32, 426, 280, 636, 284, 436, 16951, 81, 1700, 328, 308, 1815, 30, 3177, 711, 291, 623, 16951, 81, 1293, 26, 9240, 81, 1700, 711, 324, 623, 1201, 81, 286, 21511, 26, 53, 30, 225, 34, 30, 225, 36, 30, 330, 23259, 636, 683, 619, 281, 44, 400, 1201, 81, 2228, 26, 85, 32, 426, 30, 330, 23259, 636, 683, 400, 3555, 281, 324, 623, 1201, 81, 286, 21511, 26, 53, 30, 225, 34, 30, 225, 36, 30, 636, 1057, 14146, 636, 7831, 400, 3097, 324, 1201, 81, 2228, 26, 9240, 32, 297, 6565, 1026, 16951, 81, 1700, 27, 203, 50, 16708, 26, 3564, 924, 27, 203, 589, 894, 81, 862, 81, 286, 21511, 81, 96, 650, 2262, 284, 443, 390, 26, 1473, 711, 291, 3097, 284, 623, 1201, 81, 286, 21511, 26, 53, 27, 619, 281, 44, 291, 3097, 203, 50, 16708, 26, 3564, 924, 27, 203, 589, 894, 81, 862, 81, 286, 21511, 81, 29547, 2262, 284, 443, 390, 26, 1473, 711, 291, 665, 1156, 1664, 3207, 784, 711, 324, 630, 1114, 29547, 280, 630, 284, 623, 1201, 81, 286, 21511, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 3, 3, 3, 5, 5, 5, 7, 6, 6, 6, 5, 5, 9, 10, 9, 6, 6, 9, 9, 9, 9, 9, 10, 9, 6, 6, 9, 9, 9, 12, 11, 12, 12, 11, 9, 9, 6, 6, 9, 10, 9, 6, 6, 9, 9, 9, 9, 9, 10, 9, 6, 6, 9, 9, 9, 12, 11, 12, 12, 11, 9, 9, 3, 3, 4, 4, 4, 6, 7, 7, 6, 6, 6, 10, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 3, 3, 3, 5, 6, 6, 5, 5, 7, 6, 6, 6, 5, 5, 9, 9, 9, 9, 9, 10, 10, 10, 9, 6, 6, 7, 8, 8, 7, 7, 9, 8, 8, 8, 7, 7, 9, 13, 13, 13, 14, 14, 14, 13, 9, 9, 13, 13, 13, 16, 15, 16, 16, 15, 13, 14, 14, 13, 8, 8, 11, 11, 11, 14, 13, 14, 14, 13, 11, 12, 12, 11, 8, 8, 9, 13, 13, 13, 14, 14, 14, 13, 9, 9, 13, 13, 13, 16, 15, 16, 16, 15, 13, 14, 14, 13, 10, 10, 13, 13, 13, 13, 13, 14, 14, 15, 15, 13, 8, 8, 11, 11, 11, 14, 13, 14, 14, 13, 11, 12, 12, 11, 3, 3, 4, 4, 4, 6, 7, 7, 6, 6, 6, 10, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 6, 6, 7, 6, 6, 7, 6, 6, 7, 6, 6, 7, 9, 9, 9, 5, 5, 9, 10, 8, 8, 2, 2, 3, 4, 4, 3, 3, 5, 4, 4, 4, 3, 3, 5, 9, 9, 9, 10, 10, 10, 9, 5, 5, 7, 12, 12, 12, 12, 13, 12, 12, 13, 12, 12, 13, 12, 12, 14, 14, 14, 10, 10, 7, 7, 7, 11, 11, 11, 13, 12, 13, 11, 11, 13, 13, 13, 8, 8, 9, 6, 6, 7, 11, 11, 11, 11, 12, 11, 11, 12, 11, 11, 12, 11, 11, 12, 14, 14, 14, 7, 7, 6, 6, 9, 9, 9, 12, 11, 12, 12, 11, 9, 10, 10, 9, 0, 2, 4, 4, 5, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 6, 5, 4, 4, 3, 3, 4, 9, 9, 9, 9, 10, 9, 7, 7, 4, 4, 4, 0, 2, 4, 4, 5, 5, 4, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 6, 5, 4, 4, 6, 7, 7, 8, 7, 6, 6, 10, 11, 9, 9, 3, 3, 4, 9, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 0, 0, 0, 1, 3, 3, 3, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 5, 5, 0, 0, 0, 0, 1, 1, 1, 5, 5, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 4, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 0, 1, 1, 0, 0, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 3, 3, 1, 5, 5, 0, 0, 1, 0, 0, 2, 2, 1, 1, 3, 3, 1, 5, 5, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 5, 5, 0, 0, 1, 0, 0, 2, 2, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 5, 5, 1, 1, 1, 1, 1, 2, 5, 5, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 3, 3, 1, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 2, 1, 1, 3, 3, 0, 0, 1, 0, 0, 2, 2, 1, 1, 3, 3, 1, 0, 0, 0, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 4, 4, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 0, 0, 0, 1 ]
[ 1070, 4377, 9660, 32, 8304, 1188, 18445, 7168, 30, 3717, 30, 26911, 203, 1070, 4377, 605, 32, 9777, 1188, 47790, 81, 2478, 5913, 2917, 203, 1070, 4377, 31888, 1188, 47750, 203, 1070, 4377, 2808, 43826, 1188, 12585, 1141, 81, 9410, 30, 598, 16502, 108, 81, 9410, 30, 1133, 81, 47280, 30, 766, 284, 3104, 81, 14921, 1141, 30, 8564, 6199, 427, 21266, 203, 465, 13092, 203, 823, 2108, 3689, 43826, 44, 284, 665, 894, 81, 14921, 1141, 81, 9410, 26, 784, 711, 291, 1201, 12585, 1141, 81, 9410, 26, 14603, 26, 28728, 47, 34, 490, 610, 225, 35, 32, 34, 291, 1201, 7818, 26, 14921, 1141, 81, 9410, 26, 18863, 81, 2478, 5913, 2917, 517, 225, 35, 34, 471, 225, 37, 27, 610, 225, 34, 32, 43, 43, 39, 291, 1201, 7818, 26, 14921, 1141, 81, 9410, 26, 18863, 81, 2478, 5913, 2917, 517, 225, 36, 471, 225, 37, 27, 610, 225, 34, 32, 42, 40, 40, 284, 665, 894, 81, 315, 16502, 108, 81, 9410, 26, 784, 711, 291, 1201, 598, 16502, 108, 81, 9410, 26, 14603, 26, 28728, 47, 34, 490, 610, 225, 35, 32, 34, 291, 1201, 7818, 26, 315, 16502, 108, 81, 9410, 26, 18863, 81, 2478, 5913, 2917, 517, 225, 35, 34, 471, 225, 37, 27, 610, 225, 35, 32, 34, 34, 39, 291, 1201, 7818, 26, 315, 16502, 108, 81, 9410, 26, 18863, 81, 2478, 5913, 2917, 517, 225, 36, 471, 225, 37, 27, 610, 225, 35, 32, 35, 39, 39, 284, 665, 894, 81, 1003, 81, 47280, 26, 784, 711, 291, 273, 280, 3717, 26, 101, 47, 35, 27, 291, 1201, 1133, 81, 47280, 26, 102, 30, 18445, 7168, 26, 28728, 47, 34, 3427, 101, 610, 225, 35, 32, 34, 291, 1201, 7818, 26, 1003, 81, 47280, 26, 102, 30, 47790, 81, 2478, 5913, 2917, 517, 225, 35, 34, 547, 101, 30, 225, 37, 27, 610, 225, 35, 32, 34, 34, 39, 291, 1201, 7818, 26, 1003, 81, 47280, 26, 102, 30, 47790, 81, 2478, 5913, 2917, 517, 225, 36, 547, 101, 30, 225, 37, 27, 610, 225, 35, 32, 35, 39, 39, 284, 665, 894, 81, 1322, 81, 14921, 1141, 26, 784, 711, 291, 343, 280, 26911, 26, 95, 47, 35, 27, 291, 1201, 3104, 81, 14921, 1141, 26, 86, 30, 18445, 7168, 26, 28728, 47, 34, 3427, 95, 610, 225, 35, 32, 34, 291, 1201, 7818, 26, 1322, 81, 14921, 1141, 26, 86, 30, 47790, 81, 2478, 5913, 2917, 517, 225, 35, 34, 547, 95, 30, 225, 37, 27, 610, 225, 34, 32, 43, 43, 39, 291, 1201, 7818, 26, 1322, 81, 14921, 1141, 26, 86, 30, 47790, 81, 2478, 5913, 2917, 517, 225, 36, 547, 95, 30, 225, 37, 27, 610, 225, 34, 32, 42, 40, 40, 284, 665, 894, 81, 2808, 6199, 427, 81, 31888, 26, 784, 711, 291, 1201, 438, 39288, 26, 3689, 6199, 427, 21266, 30, 47750, 27, 291, 345, 280, 47750, 26, 8018, 47, 8457, 26, 95, 47, 35, 471, 15642, 47, 18863, 81, 2478, 5913, 2917, 517, 225, 36, 27, 291, 10194, 280, 8564, 6199, 427, 21266 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 4, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 4, 3, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 10, 10, 12, 11, 12, 10, 6, 6, 7, 7, 7, 4, 4, 5, 8, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 11, 11, 12, 12, 10, 8, 9, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 5, 8, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 11, 11, 12, 10, 8, 9, 8, 6, 6, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 10, 10, 12, 11, 12, 10, 6, 6, 7, 7, 7, 4, 4, 5, 8, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 11, 11, 12, 12, 10, 8, 9, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 5, 8, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 11, 11, 12, 10, 8, 9, 8, 6, 6, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 4, 4, 5, 9, 9, 9, 10, 9, 9, 11, 11, 13, 12, 13, 11, 8, 6, 6, 7, 7, 7, 4, 4, 5, 8, 11, 11, 11, 11, 12, 11, 11, 13, 13, 13, 13, 12, 12, 13, 13, 11, 10, 8, 8, 9, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 5, 8, 11, 11, 11, 11, 12, 11, 11, 13, 13, 13, 13, 12, 12, 13, 11, 10, 8, 8, 9, 8, 6, 6, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 4, 4, 5, 9, 9, 9, 9, 10, 9, 9, 11, 11, 13, 12, 13, 11, 8, 6, 6, 7, 7, 7, 4, 4, 5, 8, 11, 11, 11, 11, 11, 12, 11, 11, 13, 13, 13, 13, 12, 12, 13, 13, 11, 10, 8, 8, 9, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 5, 8, 11, 11, 11, 11, 11, 12, 11, 11, 13, 13, 13, 13, 12, 12, 13, 11, 10, 8, 8, 9, 8, 6, 6, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 8, 8, 8, 8, 7, 7, 7, 4, 4, 6, 6, 8, 10, 9, 11, 11, 13, 12, 13, 11, 8, 9, 11, 11, 11, 11, 11, 10, 10, 11, 8, 4, 4, 6, 6, 8, 8, 8 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 9, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 5, 5, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 4, 4, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 4, 4, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 2, 2, 1, 2, 1, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 2, 1, 2, 1, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 1, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 4, 4, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 2, 2, 1, 2, 1, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 3, 2, 1, 2, 1, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0 ]
[ 465, 6436, 619, 2065, 203, 465, 10501, 1110, 203, 1070, 638, 3922, 81, 1439, 1188, 319, 203, 800, 36, 19111, 280, 10501, 1110, 32, 800, 36, 19111, 203, 3442, 280, 10501, 1110, 32, 3442, 203, 823, 5548, 2825, 26, 2825, 1761, 711, 284, 665, 1156, 1664, 3207, 784, 30, 28398, 81, 1160, 47, 2521, 38747, 5321, 711, 291, 12259, 1761, 3667, 1664, 3207, 784, 30, 28398, 81, 1160, 27, 291, 10071, 280, 5436, 26, 400, 20772, 81, 40159, 3865, 280, 225, 35, 30, 8982, 13472, 81, 12537, 81, 4243, 280, 5518, 8982, 2129, 81, 5078, 280, 2107, 20696, 81, 426, 1195, 12537, 81, 426, 1195, 2851, 81, 426, 25, 1891, 39039, 1782, 81, 8870, 1195, 40159, 3865, 370, 1891, 330, 3576, 2188, 400, 3185, 81, 5078, 280, 2107, 1782, 81, 8870, 1195, 40159, 3865, 2188, 400, 13472, 81, 2243, 81, 19510, 280, 225, 35, 32, 36, 37, 43, 42, 38, 36, 87, 31, 38, 30, 8982, 14755, 81, 5078, 280, 2107, 14550, 1195, 331, 339, 2960, 84, 332, 81, 14550, 2188, 400, 6216, 81, 14550, 280, 330, 887, 370, 400, 6216, 81, 331, 339, 2960, 84, 332, 81, 14550, 280, 330, 887, 370, 400, 15994, 81, 12537, 81, 4243, 280, 1665, 30, 400, 829, 291, 630, 1114, 928, 2969, 280, 3228, 96, 25, 291, 630, 1114, 12637, 280, 3228, 102, 25, 291, 630, 1114, 6662, 95, 32, 1877, 26, 5321, 30, 7106, 47, 1815, 27, 291, 630, 1114, 6662, 95, 32, 1877, 26, 10514, 30, 7106, 47, 2700, 27, 291, 630, 1114, 3648, 280, 5053, 1131, 81, 761, 950, 466, 1947, 26892, 81, 40159, 3865, 950, 2420, 30, 7686, 330, 3648, 81, 5078, 950, 668, 30, 7686, 330, 2208, 81, 5078, 950, 668, 30, 7686, 330, 15710, 81, 2243, 81, 19510, 950, 1808, 30, 7686, 330, 15710, 81, 12537, 81, 4243, 950, 2521, 111, 284, 665, 3185, 26, 784, 38747, 5321, 711, 291, 296, 280, 2156, 26, 784, 32, 1131, 81, 761, 27, 291, 5430, 280, 296, 32, 850, 922, 2998, 26, 784, 1114, 928, 2969, 27, 291, 5430, 280, 428, 62, 436, 498, 328, 5430, 415, 498, 79, 291, 296, 32, 2679, 346, 291, 630, 1114, 1439, 2208, 346, 291, 4826, 280, 5430, 32, 3235, 26, 34, 547, 2998, 26, 784, 1114, 12637, 27, 291, 4826, 280, 428, 90, 32, 7201, 346, 436, 420, 328, 4826, 79, 291, 415, 646, 739, 26, 784, 32, 3648, 81, 5078, 547, 297, 19113, 26, 470, 26, 5078, 8531, 324, 3636, 10091, 463, 5413, 4826, 884, 5816, 19, 10699, 78, 6035, 330, 6574, 526, 3654, 688, 1169, 4826, 10699, 78, 6035, 330, 586, 3191, 44, 43563, 5608, 2524, 26, 784, 32, 3648, 81, 5078, 490, 291, 456, 1441, 3557, 101, 280, 1605, 291, 436, 498, 328, 5430, 44, 324, 456, 1441, 3557, 280, 2149, 324, 436, 831, 30, 354, 328, 8529, 26, 5078, 30, 11057, 498, 32, 2998, 26, 784, 1114, 12637, 30, 2069, 26, 5078, 490, 711, 400, 456, 1441, 3557, 77, 93, 79, 280, 354, 324, 415, 2069, 26, 14145, 3557, 27, 863, 2069, 26, 5078, 711, 400, 1459, 440, 1612, 1628, 313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 3, 0, 1, 1, 4, 4, 4, 1, 1, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 0, 3, 2, 2, 4, 3, 4, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 6, 6, 6, 5, 6, 4, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 4, 4, 6, 6, 8, 8, 8, 10, 10, 10, 9, 9, 10, 8, 8, 8, 10, 10, 10, 10, 9, 9, 8, 8, 10, 10, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 8, 8, 10, 10, 9, 9, 12, 12, 12, 12, 12, 12, 12, 8, 8, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 10, 10, 9, 9, 11, 11, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 11, 11, 8, 8, 10, 10, 10, 10, 9, 9, 8, 8, 8, 4, 4, 7, 8, 8, 6, 6, 9, 8, 4, 4, 7, 8, 6, 6, 9, 8, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 9, 8, 9, 7, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 9, 8, 9, 7, 4, 4, 7, 8, 6, 6, 10, 10, 10, 10, 9, 7, 10, 10, 10, 10, 10, 9, 7, 7, 7, 10, 10, 10, 10, 9, 7, 7, 7, 10, 10, 10, 10, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 9, 7, 7, 7, 10, 10, 10, 10, 10, 10, 9, 7, 2, 2, 3, 4, 5, 4, 6, 4, 3, 3, 6, 6, 8, 10, 9, 10, 10, 10, 8, 4, 4, 6, 6, 10, 11, 10, 9, 8, 10, 9, 10, 10, 8, 4, 4, 6, 6, 8, 7, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 7, 8, 8, 7, 4, 4, 6, 6, 10, 11, 10, 11, 10, 9, 8, 10, 9, 10, 8, 4, 4, 6, 6, 10, 9, 10, 9, 7, 8, 8, 8, 7, 4, 4, 5, 6, 10, 12, 11, 12, 12, 12, 10, 9, 9, 8, 10, 10, 11, 10, 5, 5, 7, 9, 14, 14, 14, 14, 14, 14, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 11, 11, 11, 13, 13, 13, 13, 14, 13, 12, 14, 13, 14, 14, 14, 12, 4, 4, 7, 7, 7, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 9, 9, 8, 8, 6, 6, 7, 8, 8, 7, 7, 9, 10, 9, 9, 9, 11, 12, 11, 13, 12, 13, 11, 11, 13, 14, 13, 9, 7, 7, 12, 12, 11, 12, 11, 10, 10, 6, 6, 7, 10, 11, 11, 10, 8, 8, 10, 11, 10, 7, 7, 11, 15, 15, 15 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 0, 0, 0, 3, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 3, 3, 1, 1, 0, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 7, 7, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 11, 11, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 13, 13, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 1, 2, 1, 1, 0, 0, 0, 0, 17, 17, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 2, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 0, 3, 2, 1, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 0, 3, 2, 1, 4, 4, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 1, 2, 2, 2, 2, 2, 3, 2, 4, 4, 0, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 4, 4, 7, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 4, 4, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 5, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 13134, 32, 8362, 81, 1160, 1188, 13935, 15201, 203, 1070, 2454, 81, 696, 35, 34, 34, 93, 1188, 2454, 203, 465, 6436, 619, 2065, 203, 465, 6693, 81, 12895, 203, 465, 1256, 1160, 203, 465, 37111, 941, 29498, 203, 17288, 280, 2454, 346, 203, 1582, 280, 13935, 15201, 346, 203, 307, 280, 2065, 32, 955, 2009, 284, 1256, 1160, 32, 464, 81, 28344, 1196, 26, 17288, 471, 284, 37111, 941, 29498, 32, 464, 81, 28344, 1196, 26, 17288, 471, 284, 6693, 81, 22195, 32, 464, 81, 28344, 1196, 26, 17288, 471, 203, 1130, 203, 17288, 280, 23074, 32, 452, 955, 346, 203, 2999, 81, 731, 280, 225, 34, 32, 34, 203, 34036, 101, 280, 1605, 203, 979, 1044, 328, 35198, 26, 17288, 32, 3229, 77, 34, 10794, 284, 2813, 34, 280, 2065, 32, 2560, 26, 307, 30, 1044, 30, 225, 35, 27, 284, 540, 34, 280, 2065, 32, 2560, 26, 17288, 30, 1044, 30, 225, 34, 27, 284, 1593, 30, 1410, 280, 2065, 32, 2767, 26, 100, 34, 848, 225, 34, 27, 284, 1593, 280, 2813, 6894, 1593, 30, 1410, 79, 284, 533, 280, 540, 34, 77, 100, 34, 848, 225, 34, 79, 284, 2834, 32, 4698, 26, 74, 32, 70, 30, 533, 27, 284, 26370, 32, 1689, 26, 1582, 32, 22039, 7912, 284, 540, 34, 280, 23074, 77, 103, 79, 284, 1593, 280, 2065, 32, 2767, 26, 100, 34, 848, 225, 34, 27, 284, 298, 34, 280, 2834, 32, 9356, 26, 307, 6894, 1044, 30, 1593, 997, 28468, 922, 70, 27, 284, 1137, 34, 280, 540, 34, 77, 100, 34, 848, 225, 34, 79, 429, 298, 34, 284, 3380, 81, 731, 1454, 2065, 32, 4260, 26, 530, 34, 30, 1137, 34, 27, 284, 1459, 26, 103, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 3, 2, 2, 4, 0, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 5, 4, 5, 5, 8, 7, 8, 8, 8, 8, 7, 8, 7, 5, 5, 8, 8, 7, 8, 8, 8, 8, 7, 8, 7, 5, 5, 8, 8, 7, 8, 8, 8, 8, 7, 8, 7, 5, 5, 0, 3, 2, 2, 4, 5, 5, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 6, 5, 6, 4, 5, 4, 1, 1, 5, 4, 4, 6, 7, 6, 7, 6, 6, 6, 6, 7, 6, 2, 2, 5, 4, 4, 6, 7, 6, 7, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 8, 8, 7, 7, 8, 6, 2, 2, 4, 4, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 5, 7, 7, 6, 6, 7, 5, 2, 2, 5, 6, 5, 7, 6, 7, 5, 5, 5, 2, 2, 5, 6, 5, 7, 6, 7, 7, 2, 2, 5, 4, 4, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 8, 8, 7, 7, 8, 6, 2, 2, 5, 4, 4, 6, 7, 6, 11, 10, 10, 10, 10, 10, 10, 9, 8, 6, 2, 2, 5, 4, 4, 7, 6, 8, 8, 7, 7, 8, 6, 5, 5, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 7, 6, 6, 7, 6, 2, 2, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 13, 13, 13, 13, 1, 0, 0, 2, 1, 2, 1, 13, 13, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 1, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 1, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 5, 5, 0, 0, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 5, 5, 0, 2, 1, 0, 1, 2, 1, 1, 1, 5, 5, 0, 2, 1, 0, 1, 2, 2, 5, 5, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 5, 5, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 5, 5, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9592, 203, 1658, 21968, 2414, 15363, 436, 4865, 31, 19674, 203, 2533, 16123, 203, 609, 11217, 456, 658, 7324, 372, 17703, 5703, 30, 3943, 322, 803, 5016, 438, 6660, 32, 203, 571, 44, 284, 1913, 555, 1499, 32, 4685, 1225, 90, 277, 32, 1299, 33, 3435, 33, 1275, 33, 2312, 33, 5224, 33, 11025, 31, 98, 4359, 32, 3072, 284, 16649, 284, 333, 1275, 1561, 347, 525, 555, 1499, 32, 4685, 1225, 90, 277, 32, 1299, 33, 3435, 33, 1275, 33, 2312, 33, 5224, 33, 11025, 31, 98, 4359, 32, 3072, 413, 284, 1672, 8328, 32, 3072, 261, 16649, 264, 333, 1275, 1561, 3784, 21512, 81, 4065, 33, 1772, 8328, 32, 3072, 413, 203, 21059, 4865, 31, 19674, 225, 35, 32, 40, 29, 203, 9592, 203, 465, 4281, 6419, 32, 3550, 619, 4070, 203, 465, 16316, 203, 1270, 44, 284, 645, 16316, 32, 1040, 1188, 2971, 972, 203, 7343, 44, 284, 645, 16316, 1188, 2971, 972, 203, 823, 4361, 4814, 26, 8523, 32, 4814, 711, 284, 665, 1156, 1664, 3207, 784, 30, 20098, 711, 291, 436, 1202, 30, 786, 328, 20098, 44, 324, 630, 32, 470, 1063, 26, 678, 30, 786, 27, 284, 665, 1015, 81, 3221, 26, 784, 30, 8735, 30, 636, 30, 11595, 30, 316, 711, 291, 5257, 280, 11595, 26, 268, 27, 291, 5257, 32, 954, 280, 8735, 291, 5257, 32, 407, 280, 630, 291, 8735, 32, 3221, 18134, 32, 669, 26, 426, 30, 5257, 30, 3778, 3576, 657, 284, 665, 12359, 19674, 26, 784, 30, 8735, 30, 8735, 81, 19981, 711, 291, 630, 32, 669, 81, 3221, 26, 954, 30, 330, 893, 370, 4361, 2359, 30, 715, 540, 28249, 12390, 66, 46, 1805, 1563, 12456, 6563, 49, 21, 46976, 555, 6505, 12390, 66, 46, 4116, 1563, 12456, 8172, 21, 38131, 4242, 11952, 49, 66, 46, 983, 8828, 80, 49, 21, 6603, 8169, 12390, 66, 46, 407, 8828, 80, 49, 21, 8274, 37, 30, 38, 18364, 18470, 78, 49, 24183, 21, 6603, 490, 11952, 2805, 21, 29548, 490, 33113, 683, 203, 823, 4361, 2359, 26, 8523, 32, 3221, 15719, 32, 5516, 711, 284, 665, 2887, 3665, 26, 784, 30, 345, 711, 291, 4791, 280, 2971, 972, 32, 1308, 463, 1275, 683, 291, 3642, 280, 345, 32, 1363, 463, 1805, 683, 556, 313, 525, 35437, 291, 5880, 280, 345, 32, 1363, 463, 4116, 683, 291, 1519, 280, 345, 32, 1363, 463, 983, 683, 291, 1447, 280, 345, 32, 1363, 463, 407, 683, 291, 415, 1447, 32, 5729, 346, 328, 4070, 32, 6614, 27739, 81, 10393, 81, 19814, 69, 44, 324, 415, 5880, 44, 400, 1561, 280, 3642, 474, 5880, 474, 1519, 324, 4348, 1519, 44, 400, 1561, 280, 2430, 6419, 33, 3435, 5681, 474, 1519, 474, 4939, 4462, 20, 324, 813, 44, 400, 1561, 280, 4247, 324, 4791, 32, 470, 463, 1617, 370, 1561, 27, 291, 442, 4791, 203, 589, 1930, 4814, 26, 15752, 47, 2521, 711, 284, 442, 4361, 4814, 26, 15752, 47, 15752, 27, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 1188, 745, 28998, 284, 745, 28998, 32, 858, 1803, 346, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 3, 4, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 3, 4, 5, 3, 3, 5, 1, 2, 2, 2, 2, 4, 4, 4, 6, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 5, 5, 5, 9, 10, 10, 9, 10, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 8, 9, 9, 7, 8, 7, 8, 7, 7, 7, 7, 9, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 8, 7, 8, 7, 7, 9, 9, 7, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 5, 4, 5, 5, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 9, 8, 9, 8, 10, 10, 4, 4, 6, 6, 9, 10, 9, 11, 11, 7, 7, 9, 9, 4, 4, 6, 6, 8, 9, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 10, 10, 4, 4, 5, 8, 9, 8, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 7, 7, 7, 7, 10, 10, 12, 12, 11, 11, 7, 7, 8, 8, 8, 8, 11, 11, 15, 15, 15, 15, 13, 13, 12, 12, 14, 14, 7, 7, 8, 8, 8, 11, 11, 6, 6, 9, 10, 9, 11, 11, 9, 9, 4, 4, 5, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 5, 5, 7, 6, 7, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 5, 2, 2, 6, 5, 6, 6, 5, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 1, 2, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 5, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 2, 0, 0, 2, 2, 1, 2, 2, 5, 5, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 5, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 5, 5, 5, 0, 0, 3, 3, 0, 2, 1, 1, 2, 1, 1, 4, 4, 6, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 0, 1, 0, 1, 2, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 0, 3, 3, 0, 0, 2, 2, 1, 0, 0, 0, 0 ]
[ 465, 5167, 203, 1070, 8668, 2195, 1188, 11962, 203, 1449, 81, 1322, 280, 225, 35, 34, 34, 203, 589, 47917, 81, 1545, 26, 1237, 81, 678, 30, 1344, 30, 1914, 30, 1760, 711, 284, 1984, 280, 330, 641, 555, 1499, 32, 12717, 32, 508, 33, 4189, 33, 7393, 33, 104, 36, 25, 284, 415, 2069, 26, 878, 27, 848, 1769, 81, 1322, 44, 291, 442, 313, 2272, 2016, 1755, 9567, 1509, 432, 6679, 1615, 225, 35, 34, 34, 7125, 3107, 284, 2803, 280, 301, 291, 330, 99, 950, 1344, 30, 291, 330, 678, 950, 4125, 81, 678, 30, 291, 330, 1977, 950, 1760, 30, 291, 330, 1643, 950, 330, 878, 25, 284, 320, 284, 415, 1914, 44, 291, 2803, 710, 1855, 785, 280, 1914, 284, 1326, 280, 5167, 32, 371, 26, 965, 30, 2803, 47, 2132, 27, 284, 8436, 280, 1326, 32, 1260, 346, 284, 415, 8436, 32, 371, 463, 731, 7831, 291, 415, 8436, 710, 731, 4902, 687, 785, 610, 225, 38, 34, 37, 44, 324, 442, 313, 1318, 28425, 2330, 438, 2126, 328, 322, 6597, 36646, 6497, 3107, 291, 813, 44, 324, 442, 313, 7732, 2330, 1048, 3107, 284, 415, 646, 1914, 44, 291, 442, 330, 7846, 26, 38309, 2028, 5971, 27, 101, 27, 18147, 32895, 1031, 27, 101, 25, 904, 308, 12881, 710, 605, 4902, 22902, 8150, 34, 1130, 284, 442, 6611, 26, 32895, 1031, 27, 101, 25, 904, 8436, 710, 605, 4902, 22902, 8150, 34, 79, 203, 589, 2530, 81, 4189, 26, 9854, 711, 284, 10290, 280, 10290, 32, 5729, 346, 284, 436, 4504, 30, 617, 328, 7275, 81, 16564, 44, 291, 415, 10290, 328, 4504, 32, 5729, 922, 2998, 2262, 324, 442, 4504, 32, 2998, 8532, 34, 79, 284, 436, 4504, 30, 3536, 328, 7275, 81, 16564, 44, 291, 415, 10290, 328, 3536, 32, 5729, 2262, 324, 442, 4504, 32, 2998, 8532, 34, 79, 284, 442, 1665, 203, 50, 7133, 32, 2501, 346, 203, 589, 8778, 26, 878, 30, 7361, 711, 284, 4125, 81, 678, 280, 7361, 32, 1163, 32, 371, 440, 1237, 81, 3494, 392, 43241, 371, 440, 2175, 81, 1902, 81, 678, 392, 1665, 27, 284, 415, 646, 4125, 81, 678, 44, 291, 442, 313, 2272, 2016, 7171, 312, 6597, 36646, 6497, 2330, 1202, 3107, 284, 2181, 280, 1344, 32, 2998, 463, 5769, 225, 36, 27, 284, 1596, 44, 291, 415, 2069, 26, 1132, 27, 2377, 225, 36, 44, 324, 5439, 280, 2530, 81, 4189, 26, 1132, 77, 34, 1130, 324, 415, 646, 5439, 44, 400, 442, 47917, 81, 1545, 26, 1237, 81, 678, 30, 1344, 30, 2550, 330, 272, 683, 324, 415, 2069, 26, 1132, 27, 610, 225, 36, 44, 400, 442, 47917, 81, 1545, 26, 1237, 81, 678, 30, 2181, 77, 35, 614, 5439, 30, 330, 272, 683, 324, 415, 2069, 26, 1132, 27, 2377, 225, 37, 44, 400, 23295, 280, 2530, 81, 4189, 26, 1132, 77, 35, 1130, 400, 415, 646, 23295, 44, 528, 415, 5439, 610, 330, 272, 950, 715, 442, 330, 23905, 372, 9921, 10848, 1760, 2898, 25, 528, 442, 47917, 81, 1545, 26, 1237, 81, 678, 30, 2181, 77 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 6, 7, 6, 4, 4, 5, 5, 3, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 6, 8, 8, 5, 5, 2, 2, 3, 3, 3, 3, 7, 9, 9, 6, 6, 2, 2, 4, 4, 6, 7, 6, 7, 6, 6, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 2, 2, 3, 5, 6, 5, 7, 7, 3, 3, 5, 8, 10, 10, 9, 9, 6, 6, 7, 7, 7, 5, 5, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 6, 6, 8, 10, 10, 10, 10, 2, 2, 3, 4, 3, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 11, 10, 12, 12, 11, 11, 9, 8, 2, 2, 3, 6, 6, 6, 6, 6, 6, 4, 4, 7, 9, 9, 8, 8, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 5, 6, 6, 10, 11, 10, 9, 8, 5, 5, 7, 10, 11, 10, 9, 8, 2, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 3, 5, 6, 6, 8, 9, 8, 5, 5, 7, 10, 11, 10, 9, 8, 2, 2, 3, 0, 2, 5, 4, 5, 4, 1, 2, 2, 3, 4, 3, 3, 3, 2, 2, 6, 6, 5, 5, 10, 11, 9, 10, 9, 11, 11, 11, 11, 9, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 3, 3, 4, 5, 6, 6, 4, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 5, 5, 7, 8, 7, 9, 7, 8, 7, 3, 3, 4, 4, 4, 6, 9, 10, 9, 7, 7, 8, 6, 6, 6, 9, 9, 11, 11, 11, 13, 12, 13, 12, 7, 7, 8, 9, 8, 8, 8, 10, 12, 12, 12, 13, 13, 13, 12, 12, 12, 12, 12, 14, 14, 7, 7, 8, 11, 12, 11, 9, 9, 10, 8, 8, 8, 10, 12, 12, 12, 13, 13, 13, 12, 12, 13, 14, 13, 12, 12, 12, 14, 14, 7, 7, 8, 11, 12, 11, 9, 9, 10, 8, 8, 8, 11, 11, 13, 13, 13, 15, 14, 15, 14, 9, 9, 10, 11, 10, 10, 10, 12, 13, 13, 15, 15, 12, 12, 14, 16, 16, 16, 16, 16, 16, 16, 11, 11, 12, 14, 14, 14, 15, 15, 15, 14, 14, 17 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 3, 3, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 1, 2, 7, 1, 2, 2, 2, 4, 4, 3, 3, 3, 3, 0, 1, 2, 0, 0, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 6, 0, 2, 1, 1, 2, 6, 6, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 1, 1, 1, 1, 4, 4, 7, 1, 7, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 4, 4, 8, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 4, 4, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 4, 4, 3, 0, 0, 0, 0, 2, 1, 5, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 3, 1, 4, 4, 3, 3, 3, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0 ]
[ 465, 45977, 203, 823, 47800, 26, 687, 1729, 32, 13172, 711, 284, 665, 9336, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 4275, 30, 8644, 81, 1110, 27, 284, 665, 9843, 26, 784, 30, 1131, 30, 4275, 1057, 5848, 7831, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 4275, 30, 286, 3205, 81, 1274, 27, 203, 823, 29494, 279, 8770, 26, 687, 1729, 32, 44571, 8770, 711, 284, 665, 9336, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 4434, 26, 1131, 30, 784, 32, 4275, 30, 8644, 81, 1110, 5594, 34, 79, 203, 823, 29494, 279, 11717, 26, 687, 1729, 32, 44571, 11717, 711, 284, 665, 9843, 26, 784, 30, 1509, 30, 1158, 47, 2700, 711, 291, 442, 45977, 32, 1594, 1110, 81, 5460, 26, 1131, 30, 784, 32, 4275, 30, 286, 3205, 81, 1274, 5594, 34, 79, 203, 823, 7537, 3976, 26, 13172, 30, 687, 1729, 32, 1862, 3976, 711, 284, 3097, 203, 823, 7537, 3300, 26, 13172, 30, 687, 1729, 32, 33667, 711, 284, 3097, 203, 589, 622, 1582, 3038, 2262, 284, 442, 45977, 32, 13172, 1120, 26, 291, 636, 1057, 2219, 35, 35, 36, 39, 370, 291, 9336, 47, 13172, 922, 4434, 30, 291, 9843, 47, 13172, 922, 5460, 30, 291, 33530, 13023, 47, 44571, 8770, 30, 291, 33530, 14858, 47, 44571, 11717, 30, 291, 3443, 6308, 47, 33667, 30, 291, 3443, 7572, 47, 1862, 3976, 30, 284, 829, 203, 286, 3205, 81, 1110, 280, 45977, 32, 2682, 81, 8543, 81, 2665, 26, 3585, 26, 36, 39, 40, 490, 203, 286, 3205, 81, 1110, 32, 1877, 1371, 275, 34, 106, 34, 34, 42, 34, 44, 225, 34, 106, 34, 38, 35, 34, 30, 35438, 34, 106, 34, 34, 42, 35, 44, 225, 34, 106, 34, 38, 35, 35, 30, 35438, 34, 106, 34, 34, 42, 36, 44, 225, 34, 106, 34, 38, 35, 36, 30, 35438, 34, 106, 34, 34, 42, 37, 44, 225, 34, 106, 34, 38, 35, 37, 30, 35438, 34, 106, 34, 34, 42, 38, 44, 225, 34, 106, 34, 38, 35, 38, 30, 35438, 34, 106, 34, 34, 42, 39, 44, 225, 34, 106, 34, 38, 35, 39, 30, 35438, 34, 106, 34, 34, 42, 40, 44, 225, 34, 106, 34, 38, 35, 40, 30, 35438, 34, 106, 34, 34, 42, 41, 44, 225, 34, 106, 34, 38, 35, 41, 30, 35438, 34, 106, 34, 34, 42, 42, 44, 225, 34, 106, 34, 38, 35, 42, 30, 35438, 34, 106, 34, 34, 42, 43, 44, 225, 34, 106, 34, 38, 35, 43, 30, 35438, 34, 106, 34, 34, 42, 83, 44, 225, 34, 106, 34, 38, 35, 83, 30, 35438, 34, 106, 34, 34, 42, 84, 44, 225, 34, 106, 34, 38, 35, 84, 30, 35438, 34, 106, 34, 34, 42, 85, 44, 225, 34, 106, 34, 38, 35, 85, 30, 35438, 34, 106, 34, 34, 42, 86, 44, 225, 34, 106, 34, 38, 35, 86, 30, 35438, 34, 106, 34, 34 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 4, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 5, 4, 6, 5, 7, 7, 3, 3, 5, 7, 8, 8, 8, 8, 7, 8, 7, 8, 7, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 8, 9, 9, 9, 9, 8, 9, 8, 10, 9, 10, 8, 9, 9, 9, 9, 8, 7, 6, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 4, 2, 1, 1, 0, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 5, 6, 6, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 9, 9, 8, 5, 5, 5, 6, 9, 9, 8, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 7, 6, 7, 5, 5, 5, 7, 6, 7, 7, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 5, 5, 5, 5, 5, 4, 6, 6, 7, 7, 7, 6, 0, 4, 4, 4, 4, 3, 4, 3, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6 ]
[ 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 3, 2, 0, 5, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 1, 4, 4, 1, 2, 1, 2, 3, 2, 0, 5, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 5, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 1, 2, 1, 0, 3, 3, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 3, 0, 2, 1, 2, 2, 2, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 3, 2, 1, 5, 5, 5, 5, 1, 2, 1, 0, 4, 4, 1, 2, 1, 2, 0, 0, 3, 2, 2, 2, 4, 4, 0, 5, 5, 1, 2, 1, 2, 0, 0, 3, 2, 2, 5, 5, 0, 6, 6, 1, 1, 2, 6, 6, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 2, 1, 1, 1, 5, 0, 1, 2, 1, 1, 1, 0, 7, 2, 2, 1, 1, 1, 0, 9, 2, 2, 1, 1, 1, 0, 11, 2, 1, 1, 1, 0, 13, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 5, 5, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 7, 7, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 9, 9, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 11, 11, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 13, 13, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 15, 15, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 17, 17, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 19, 19, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 21, 21, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 23, 23, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 25, 25, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 27, 27, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0 ]
[ 465, 7823, 29039, 203, 465, 5380, 203, 465, 5380, 18523, 32, 1215, 3397, 619, 5380, 3397, 203, 465, 5380, 18523, 32, 1215, 1335, 619, 5380, 1335, 203, 1070, 4354, 7427, 1188, 10701, 2852, 203, 505, 1311, 505, 280, 313, 1215, 6028, 11950, 20, 203, 505, 2116, 505, 280, 313, 101, 374, 385, 12752, 308, 52, 2315, 2561, 8550, 4731, 203, 505, 965, 505, 280, 313, 525, 555, 1499, 32, 12580, 735, 339, 1840, 32, 1088, 20, 203, 505, 1427, 505, 280, 313, 1215, 6028, 1300, 461, 7823, 29039, 2016, 20, 203, 325, 3177, 44, 284, 5380, 1335, 32, 34318, 26, 1215, 1335, 32, 2656, 32, 2897, 30, 5380, 1335, 32, 578, 2459, 1157, 284, 5380, 1335, 32, 4390, 2459, 26, 1215, 1335, 32, 578, 2459, 1157, 203, 1824, 44, 284, 5380, 1335, 32, 34318, 26, 1215, 1335, 32, 2656, 32, 1589, 30, 5380, 1335, 32, 578, 2459, 1157, 203, 589, 8778, 26, 1819, 30, 1344, 30, 1214, 2733, 365, 47, 2521, 711, 284, 442, 10701, 2852, 32, 67, 2852, 2727, 32, 7393, 26, 1819, 30, 1344, 30, 1214, 2733, 365, 27, 203, 823, 2194, 3402, 26, 1215, 3397, 32, 959, 3397, 711, 284, 665, 3089, 9554, 26, 784, 30, 2830, 711, 291, 442, 5380, 3397, 32, 4228, 3653, 523, 5380, 3397, 32, 4228, 20068, 692, 284, 665, 3219, 3774, 26, 784, 30, 2830, 711, 291, 2830, 32, 36594, 440, 1290, 403, 1653, 652, 720, 392, 313, 57, 687, 392, 313, 1215, 392, 400, 10701, 2852, 32, 19260, 81, 41770, 1757, 81, 2576, 1952, 440, 1215, 3402, 392, 313, 1318, 485, 687, 372, 526, 17816, 2131, 291, 2830, 32, 5392, 280, 630, 284, 665, 3089, 7083, 26, 784, 30, 2830, 711, 291, 630, 32, 2501, 668, 32, 1689, 26, 1215, 32, 2019, 21870, 5942, 6028, 27, 2131, 291, 415, 2830, 32, 57, 687, 44, 324, 436, 456, 328, 2830, 32, 57, 687, 44, 400, 537, 2501, 280, 5380, 32, 2019, 26, 466, 26, 94, 490, 400, 630, 32, 2501, 668, 32, 1689, 26, 19976, 27, 291, 630, 32, 2501, 668, 32, 1689, 26, 1215, 32, 2019, 21870, 2102, 6028, 27, 2131, 203, 589, 10819, 3289, 2262, 284, 4705, 280, 1605, 284, 442, 4705, 203, 589, 2648, 26, 426, 30, 2830, 47, 2521, 711, 284, 5881, 1922, 26, 426, 27, 2417, 9301, 461, 3217, 312, 6028, 4212, 48256, 284, 415, 2830, 438, 1665, 44, 291, 2830, 280, 7823, 29039, 32, 4077, 3092, 32, 669, 959, 440, 1215, 403, 4228, 8312, 392, 636, 27, 284, 7664, 280, 2194, 3402, 26, 2067, 30, 636, 27, 284, 442, 2830, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 0, 1, 1, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 3, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 6, 5, 6, 5, 8, 8, 7, 8, 6, 7, 5, 5, 8, 7, 8, 8, 7, 2, 2, 6, 5, 6, 6, 5, 8, 8, 7, 8, 8, 7, 1, 2, 2, 2, 2, 7, 6, 7, 6, 9, 9, 8, 9, 7, 8, 6, 6, 9, 8, 9, 9, 8, 0, 1, 1, 2, 3, 2, 2, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 7, 6, 7, 7, 7, 5, 6, 5, 6, 5, 5, 5, 5, 6, 6, 5, 0, 1, 1, 2, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 7, 8, 8, 6, 6, 8, 7, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 7, 7, 10, 9, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 9, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 11, 4, 4, 5, 6, 7, 7, 5, 5, 5, 7, 7, 7, 8, 9, 9, 7, 7, 7, 11, 10, 10, 12, 13, 12, 14, 14, 15, 14, 8, 8, 12, 13, 13, 11, 12, 11, 12, 11, 4, 4, 8, 9, 9, 7, 8, 7, 10, 9, 10, 9, 11, 11, 11, 11, 0, 1, 1, 2, 2, 1, 1, 4, 4, 2, 2, 3, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 10, 9, 10, 10, 8, 9, 9, 8, 10, 10, 10, 10, 10, 8, 8, 2, 2, 4, 4, 6, 6, 7, 6, 6, 6, 2, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 3, 3, 0, 0, 2, 2, 1, 1, 2, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 9, 9, 9, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 3, 3, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 9, 4, 4, 4, 4, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 10, 10, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 10, 10, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 0, 11, 11, 1, 2, 0, 0, 1, 2, 2, 2, 11, 11, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 5, 5, 0, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 12, 12, 1, 2, 12, 12, 0, 0, 4, 4, 1, 0, 13, 13, 2, 1, 2, 2, 3, 2, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 1070, 3619, 26801, 1188, 319, 203, 1070, 345, 3224, 95, 36, 32, 7672, 32, 7672, 1188, 319, 203, 1070, 345, 3224, 95, 36, 32, 1262, 32, 6281, 1188, 319, 203, 1070, 13625, 1188, 31466, 203, 1070, 345, 3224, 95, 36, 32, 1262, 32, 1771, 81, 2238, 1188, 7395, 81, 2238, 203, 465, 345, 3224, 95, 36, 32, 1004, 32, 3902, 32, 14929, 619, 38241, 81, 1647, 203, 1070, 345, 3224, 95, 36, 32, 1004, 32, 3902, 32, 14929, 1188, 319, 203, 1070, 345, 3224, 95, 36, 32, 1262, 32, 302, 1232, 881, 1188, 23787, 81, 1172, 203, 751, 280, 5741, 32, 10579, 440, 282, 954, 297, 657, 203, 4466, 81, 4531, 280, 5741, 32, 1862, 1972, 346, 203, 4466, 81, 4531, 32, 470, 8736, 26, 7490, 32, 8736, 4912, 26, 2649, 426, 7824, 39, 101, 44, 18147, 1436, 27, 101, 2131, 203, 751, 32, 669, 1972, 26, 4466, 81, 4531, 27, 203, 751, 32, 34318, 26, 7490, 32, 2897, 27, 203, 1582, 81, 32510, 280, 15388, 606, 463, 54, 378, 3339, 683, 203, 2518, 81, 1582, 463, 3429, 370, 27311, 1157, 203, 14929, 81, 466, 280, 2107, 68, 23, 86, 25, 904, 540, 436, 540, 328, 35198, 26, 34, 106, 35, 34, 2177, 203, 14929, 81, 466, 77, 35, 37, 79, 280, 330, 2231, 25, 203, 14929, 81, 466, 77, 35, 38, 79, 280, 330, 14860, 25, 203, 14929, 81, 466, 77, 35, 39, 79, 280, 330, 3429, 25, 203, 14929, 81, 3385, 280, 428, 6150, 606, 26, 106, 30, 225, 37, 36, 27, 436, 816, 328, 38241, 81, 466, 79, 203, 89, 1001, 5360, 280, 2834, 81, 1338, 26, 14929, 81, 466, 30, 38241, 81, 3385, 27, 203, 89, 1001, 5360, 81, 1970, 280, 2834, 81, 1338, 26, 14929, 81, 466, 6448, 35, 23751, 38241, 81, 3385, 6448, 35, 19572, 203, 89, 1001, 5360, 81, 419, 280, 2834, 81, 1338, 26, 14929, 81, 466, 77, 35, 37, 44, 35, 38, 614, 38241, 81, 3385, 77, 35, 37, 44, 35, 38, 1130, 203, 89, 1001, 5360, 81, 1347, 419, 1970, 280, 2834, 81, 1338, 26, 14929, 81, 466, 2867, 35, 37, 79, 474, 428, 466, 26, 1582, 81, 32510, 471, 38241, 81, 466, 77, 35, 38, 6137, 656, 38241, 81, 3385, 2867, 35, 37, 79, 474, 428, 1582, 81, 32510, 30, 38241, 81, 3385, 77, 35, 38, 13138, 203, 6858, 81, 4545, 280, 313, 85, 4895, 88, 20, 203, 15620, 100, 81, 14929, 81, 466, 280, 1605, 203, 419, 6858, 81, 14929, 81, 466, 280, 1605, 203, 979, 595, 328, 35198, 26, 34, 106, 35, 34, 711, 284, 337, 280, 3330, 284, 436, 594, 328, 35198, 26, 38, 711, 291, 415, 595, 549, 308, 35, 1264, 594, 711, 324, 337, 1454, 17295, 81, 4545, 77, 92, 79, 284, 13276, 100, 81, 14929, 81, 466, 32, 1689, 440, 2955, 6473, 16335, 101, 20, 904, 337, 27, 284, 309, 31271, 81, 14929, 81, 466, 32, 1689, 440, 2231, 6473, 16335, 101, 20, 904, 337, 27, 203, 15620, 100, 81, 14929, 81, 3385, 280, 428, 6150, 606, 26, 106, 30, 225, 37 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 3, 4, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 0, 3, 3, 3, 2, 2, 4, 5, 5, 4, 0, 4, 4, 4, 3, 4, 4, 3, 6, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 4, 3, 4, 4, 3, 4, 4, 4, 3, 0, 4, 3, 4, 3, 5, 4, 5, 3, 0, 3, 3, 3, 2, 2, 4, 4, 6, 6, 6, 6, 0, 3, 3, 3, 3, 5, 5, 3, 5, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 4, 3, 4, 4, 4, 6, 7, 7, 7, 7, 6, 0, 4, 4, 4, 3, 4, 4, 3, 2, 2, 4, 4, 0, 4, 4, 4, 3, 4, 4, 3, 2, 2, 4, 4, 0, 4, 4, 4, 3, 4, 4, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 6, 5, 5, 6, 6, 5, 3, 4, 4, 4, 5, 5, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 5, 8, 6, 4, 6, 6, 5, 8, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 5, 7, 7, 6, 7, 7, 5, 4, 6, 6, 5, 7, 7, 6, 7, 7, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 7, 7, 7, 6, 8, 8, 6, 5, 5, 8, 8, 9, 9, 9, 8, 6, 8, 8, 7, 8, 8, 7, 4, 4, 7, 7, 6, 8, 8, 6, 5, 5, 7, 7, 7, 6, 6, 8, 8, 7, 8, 8, 7, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 4, 4, 4, 4, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 5, 6, 6, 9, 8, 8, 7, 5, 5, 8, 8, 10, 10, 9, 10, 9, 2, 2, 6, 6, 6, 6, 6, 5, 6, 5, 8, 8, 8, 8, 8, 6, 6, 5, 2, 2, 6, 6, 6, 6, 6, 5, 6, 5, 8, 8, 8, 8, 8, 6, 6, 5, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 6, 5, 5, 6 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 1, 4, 4, 4, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 0, 2, 0, 4, 0, 6, 1, 1, 2, 2, 0, 7, 7, 0, 0, 0, 1, 2, 1, 4, 1, 6, 7, 7, 0, 8, 8, 0, 0, 0, 1, 2, 1, 4, 4, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 2, 2, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 3, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 3, 2, 2, 3, 1, 1, 0, 0, 0, 1, 1, 0, 3, 3, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 28, 28, 28, 1, 1, 1, 1, 1, 1, 28, 28, 0, 0, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3 ]
[ 1070, 18353, 1188, 8145, 30, 2078, 203, 465, 13247, 203, 823, 8751, 26, 2324, 711, 284, 19087, 1296, 81, 8472, 280, 330, 9558, 25, 284, 19087, 1296, 81, 3624, 280, 225, 40, 37, 41, 43, 284, 19087, 1296, 81, 1996, 280, 225, 34, 284, 5776, 32384, 280, 301, 291, 330, 1648, 950, 225, 35, 30, 291, 330, 5820, 81, 12724, 81, 751, 7983, 950, 3177, 30, 291, 330, 1643, 5725, 950, 301, 324, 330, 10529, 950, 301, 400, 330, 1643, 25, 499, 7185, 42668, 302, 27749, 27, 101, 79, 18147, 2649, 426, 27, 101, 18025, 26, 426, 27, 101, 6069, 26, 12300, 27, 101, 79, 18147, 1436, 27, 101, 392, 400, 330, 770, 3972, 25, 499, 5461, 86, 9708, 84, 9708, 75, 904, 58, 6069, 63, 6069, 69, 20, 324, 801, 324, 330, 6656, 950, 301, 400, 330, 1643, 950, 6611, 26, 2649, 426, 27, 101, 18147, 1436, 27, 101, 25, 324, 801, 291, 801, 291, 330, 14458, 950, 301, 324, 330, 4466, 950, 301, 400, 330, 2649, 950, 330, 2897, 370, 400, 330, 823, 950, 330, 7490, 32, 1862, 1972, 370, 400, 330, 14548, 950, 330, 10529, 25, 324, 801, 324, 330, 9558, 950, 301, 400, 330, 2649, 950, 330, 2897, 370, 400, 330, 823, 950, 330, 9558, 751, 32, 14458, 32, 14493, 1972, 370, 400, 330, 3237, 950, 330, 90, 5224, 370, 400, 330, 9558, 81, 1580, 950, 13247, 32, 14493, 26, 2035, 47, 37080, 81, 8472, 30, 3391, 2601, 47, 37080, 81, 3624, 30, 3391, 3082, 47, 37080, 81, 1996, 471, 324, 320, 291, 801, 291, 330, 751, 7983, 950, 301, 324, 330, 11025, 950, 301, 400, 330, 14458, 950, 2107, 4466, 2188, 400, 330, 45466, 950, 2933, 30, 400, 330, 2649, 950, 330, 1589, 370, 324, 801, 324, 330, 1376, 48973, 950, 301, 400, 330, 14458, 950, 2107, 4466, 370, 330, 9558, 2188, 400, 330, 2649, 950, 330, 2897, 370, 324, 801, 324, 330, 1237, 950, 301, 400, 330, 14458, 950, 2107, 4466, 370, 330, 9558, 2188, 400, 330, 2649, 950, 330, 2897, 370, 324, 801, 324, 330, 5866, 950, 301, 400, 330, 14458, 950, 2107, 4466, 370, 330, 9558, 2188, 400, 330, 2649, 950, 330, 2897, 370, 324, 801, 291, 320, 284, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 7, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 8, 8, 8, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 7, 7, 5, 5, 8, 8, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 9, 9, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 12, 12, 10, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 13, 12, 14, 13, 14, 14, 14, 12, 12, 12, 13, 14, 14, 14, 12, 12, 12, 13, 14, 14, 14, 12, 9, 9, 7, 7, 5, 5, 8, 8, 8, 6, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 13, 13, 9, 9, 12, 12, 10, 9, 9, 9, 12, 12, 10, 12, 12, 9, 9, 7, 7, 10, 10, 10, 8, 9, 9, 12, 12, 10, 13, 13, 11, 13, 13, 9, 9, 12, 12, 10, 12, 12, 9, 9, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 13, 13, 11, 13, 13, 9, 9, 12, 12, 10, 12, 12, 9, 9, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 13, 13, 11, 13, 13, 9, 9, 12, 12, 10, 12, 12, 9, 9, 7, 7, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 1, 2, 5, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 9, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 5741, 203, 465, 831, 4426, 203, 465, 8379, 203, 7490, 32, 6390, 1063, 26, 1643, 31197, 26, 2649, 426, 27, 101, 44, 18147, 1436, 27, 101, 370, 3193, 47, 7490, 32, 1589, 27, 203, 823, 4300, 8453, 44, 284, 477, 16099, 284, 665, 8329, 26, 324, 1519, 284, 8063, 291, 5741, 32, 1338, 440, 982, 10929, 6611, 101, 25, 28138, 1519, 27, 291, 13831, 81, 983, 280, 296, 9588, 983, 4009, 5366, 32, 6680, 20, 291, 1056, 280, 2322, 32, 2946, 26, 88, 20, 23349, 31, 6993, 769, 978, 301, 983, 111, 769, 2024, 301, 19243, 81, 983, 8474, 291, 415, 1056, 863, 225, 34, 44, 324, 5741, 32, 731, 440, 5288, 372, 8329, 6611, 101, 25, 623, 1048, 1340, 904, 91, 4414, 1519, 30, 1056, 27, 324, 5237, 32, 4775, 26, 1267, 27, 291, 442, 13831, 81, 983, 284, 477, 16099, 284, 665, 1420, 26, 324, 1519, 30, 324, 3408, 30, 324, 2803, 19704, 284, 8063, 291, 5741, 32, 1338, 440, 9514, 6611, 101, 25, 328, 6611, 101, 25, 28138, 1519, 30, 3408, 27, 291, 2043, 280, 831, 4426, 32, 1486, 26, 88, 9588, 2035, 8474, 291, 1596, 44, 324, 1056, 280, 2043, 32, 1297, 81, 1945, 81, 1070, 81, 9247, 81, 1320, 26, 400, 8565, 81, 761, 47, 983, 30, 400, 4209, 47, 2132, 324, 829, 324, 5741, 32, 1338, 440, 1074, 1420, 44, 904, 101, 30593, 19245, 33, 3958, 9708, 101, 392, 656, 3408, 30, 656, 1056, 32, 1945, 81, 314, 27, 291, 2940, 3268, 619, 538, 44, 324, 5741, 32, 731, 440, 5288, 372, 1420, 330, 4572, 101, 8129, 623, 1048, 3491, 96, 4572, 101, 6553, 1519, 30, 538, 27, 324, 5237, 32, 4775, 26, 35, 27, 284, 477, 16099, 284, 665, 8329, 81, 1945, 26, 324, 1519, 30, 324, 3408, 30, 324, 2803, 19704, 284, 8063, 291, 13831, 81, 983, 280, 4300, 8453, 32, 6993, 26, 983, 27, 291, 4300, 8453, 32, 1945, 26, 19243, 81, 983, 30, 3408, 30, 2803, 27, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 8379, 32, 9369, 26, 3758, 8453, 1157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 4, 3, 4, 4, 3, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 4, 6, 5, 6, 3, 0, 1, 1, 2, 1, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 8, 5, 5, 8, 8, 7, 7, 9, 10, 9, 9, 9, 9, 9, 5, 5, 7, 7, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11, 11, 12, 12, 12, 11, 5, 5, 6, 7, 7, 8, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 10, 7, 7, 10, 11, 10, 11, 10, 5, 5, 6, 7, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 8, 5, 5, 7, 7, 10, 9, 10, 9, 11, 11, 12, 11, 5, 5, 6, 6, 6, 9, 9, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 13, 13, 12, 13, 11, 11, 11, 12, 13, 11, 11, 7, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 10, 10, 11, 12, 12, 12, 10, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 13, 13, 13, 11, 11, 11, 11, 8, 8, 11, 12, 11, 12, 11, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 4, 4, 8, 8, 7, 7, 10, 9, 10, 9, 10, 9, 5, 5, 9, 8, 9, 8, 9, 9, 9, 8, 8, 8, 8, 8, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 1, 0, 6, 6, 1, 6, 6, 6, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 3, 4, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 4, 4, 4, 3, 1, 1, 2, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 4, 1, 1, 3, 3, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 4, 4, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 3, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 5, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 3, 3, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 7, 7, 0, 0, 1, 1, 1, 1, 7, 7, 0, 2, 1, 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 ]
[ 505, 13411, 505, 280, 3941, 606, 11033, 203, 465, 2322, 203, 589, 622, 81, 4882, 26, 1163, 19704, 711, 284, 3312, 280, 1605, 284, 415, 2322, 32, 426, 610, 330, 566, 950, 291, 645, 24379, 32, 8171, 1006, 32, 6096, 32, 2636, 68, 7483, 1188, 894, 81, 566, 45, 351, 3312, 1454, 894, 81, 566, 32, 371, 81, 4882, 26, 1163, 47, 1163, 27, 291, 645, 24379, 32, 8171, 1006, 32, 6096, 32, 2636, 68, 7483, 1188, 894, 81, 4463, 3855, 45, 3312, 1454, 894, 81, 4463, 3855, 32, 371, 81, 4882, 26, 1163, 47, 1163, 27, 284, 4348, 2322, 32, 426, 610, 330, 28950, 950, 291, 645, 24379, 32, 8171, 1006, 32, 6096, 32, 2636, 68, 7483, 1188, 894, 81, 28950, 45, 262, 3312, 1454, 894, 81, 28950, 32, 371, 81, 4882, 26, 1163, 47, 1163, 27, 284, 415, 19326, 26, 500, 30, 330, 305, 1911, 7831, 291, 645, 24379, 32, 8171, 1006, 32, 6096, 32, 2636, 68, 7483, 1188, 894, 81, 24034, 45, 647, 3312, 1454, 894, 81, 24034, 32, 371, 81, 4882, 26, 1163, 47, 1163, 27, 284, 645, 24379, 32, 8171, 1006, 32, 6096, 32, 2636, 68, 7483, 1188, 894, 81, 9947, 45, 958, 3312, 1454, 894, 81, 9947, 32, 371, 81, 4882, 26, 1163, 47, 1163, 27, 284, 442, 3312, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1188, 15798, 284, 13264, 280, 9254, 44, 15798, 32, 25514, 26, 371, 81, 4882, 1157, 284, 15798, 32, 1831, 26, 1536, 1006, 1057, 9089, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 0, 1, 1, 2, 2, 2, 4, 3, 2, 1, 1, 4, 4, 2, 2, 3, 5, 6, 4, 4, 6, 6, 3, 3, 5, 6, 7, 7, 6, 7, 6, 7, 7, 7, 5, 5, 7, 7, 4, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 4, 4, 5, 6, 7, 7, 6, 7, 6, 7, 7, 7, 5, 5, 7, 7, 7, 4, 4, 6, 6, 9, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 3, 3, 4, 6, 7, 5, 5, 7, 7, 4, 4, 6, 7, 8, 8, 7, 8, 7, 8, 8, 8, 6, 6, 8, 8, 5, 5, 5, 7, 7, 10, 10, 9, 10, 10, 10, 9, 11, 10, 11, 9, 2, 2, 3, 5, 6, 5, 5, 7, 7, 7, 3, 3, 5, 6, 7, 7, 6, 7, 6, 7, 7, 7, 5, 5, 7, 7, 4, 4, 4, 6, 6, 9, 9, 8, 9, 9, 9, 8, 10, 9, 10, 8, 2, 2, 3, 4, 5, 5, 4, 5, 4, 5, 5, 5, 3, 3, 5, 5, 2, 2, 2, 4, 4, 7, 7, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 3, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 3, 2, 2, 4, 4, 5, 5, 7, 8, 7, 9, 9, 9, 9, 2, 2, 5, 6, 5, 7, 7, 6, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 4, 4, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 3, 1, 2, 2, 1, 4, 1, 6, 6, 6, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 3, 1, 2, 2, 1, 4, 1, 6, 6, 6, 3, 3, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 6, 0, 3, 3, 0, 0, 1, 1, 1, 1, 3, 3, 0, 3, 3, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 45301, 983, 203, 465, 316, 203, 1070, 13831, 81, 761, 81, 2946, 1188, 10421, 203, 1070, 11581, 81, 8478, 1188, 2783, 39189, 203, 1070, 9801, 81, 605, 81, 1855, 1188, 40928, 8615, 203, 465, 10970, 81, 9744, 32, 1260, 81, 3968, 81, 10199, 32, 1260, 81, 3647, 81, 87, 1651, 619, 2361, 81, 3647, 81, 87, 1651, 203, 465, 1984, 81, 9777, 203, 81, 5807, 81, 18576, 81, 4065, 280, 330, 2242, 33, 3287, 31, 1536, 31, 1566, 32, 1645, 25, 203, 589, 617, 936, 2554, 3637, 26, 754, 81, 761, 711, 334, 18923, 81, 5607, 280, 540, 25, 11226, 13644, 105, 32, 6155, 25, 334, 7399, 280, 739, 26, 268, 32, 32852, 26, 11226, 81, 5607, 30, 4060, 81, 761, 490, 334, 436, 2530, 328, 316, 32, 1809, 1731, 26, 100, 25, 869, 78, 101, 29, 4987, 105, 40935, 101, 28, 12194, 101, 28, 7846, 101, 293, 25, 904, 18923, 81, 5607, 30, 6029, 4060, 81, 761, 711, 284, 773, 81, 426, 30, 4125, 81, 4254, 280, 2530, 32, 6332, 346, 284, 436, 773, 81, 2872, 328, 316, 32, 1809, 1731, 26, 100, 10255, 84, 23, 101, 8169, 40817, 105, 32, 6155, 5421, 84, 25, 904, 316, 32, 11731, 26, 869, 81, 426, 471, 768, 4060, 81, 761, 711, 397, 4125, 81, 12420, 30, 280, 773, 81, 2872, 32, 6332, 346, 397, 7399, 32, 669, 15339, 101, 15231, 101, 25, 904, 308, 1237, 81, 4254, 30, 4125, 81, 12420, 490, 334, 442, 7399, 203, 823, 40928, 1243, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 3083, 5016, 81, 7088, 81, 761, 81, 2946, 30, 3083, 1123, 81, 7088, 81, 761, 81, 2946, 30, 3083, 13831, 81, 2548, 81, 5792, 30, 3083, 4121, 81, 15678, 30, 3083, 1695, 81, 983, 30, 3083, 5624, 711, 284, 630, 1114, 7088, 81, 2548, 280, 308, 6728, 81, 7088, 81, 761, 81, 2946, 415, 715, 5624, 610, 330, 9081, 25, 813, 1123, 81, 7088, 81, 761, 81, 2946, 27, 284, 630, 1114, 7088, 81, 2613, 280, 13831, 81, 2548, 81, 5792, 32, 1922, 26, 291, 630, 1114, 7088, 81, 2548, 30, 291, 630, 1114, 6669, 13384, 720, 30, 291, 40928, 8615, 30, 291, 6215, 47, 5134, 27, 284, 630, 1114, 878, 81, 2613, 280, 13831, 81, 2548, 81, 5792, 32, 1562, 14923, 26, 784, 1114, 7088, 81, 2548, 27, 284, 630, 1114, 3576, 81, 15678, 280, 4121, 81, 15678, 284, 630, 1114, 1439, 81, 983, 280, 1695, 81, 983, 284, 630, 1114, 5134, 280, 5624, 334, 665, 1390, 2597, 26, 784, 711, 284, 442, 630, 1114, 7088, 81, 2613, 334, 665, 8287, 13384, 26, 784, 30, 4125, 81, 426, 711, 284, 5881, 56, 27277, 461, 10582, 322, 1149, 432, 9801, 436, 458, 5624, 30, 14116, 284, 312, 12104, 372, 322, 1755, 322, 9801, 688, 793, 322, 2330, 523, 1237, 81, 426, 6232, 284, 5881, 284, 665, 2761, 81, 7088, 26, 7088, 81, 668, 711, 397, 442, 428, 3287, 436, 3964, 328, 9801, 81, 668, 616, 415, 1346, 26, 1851, 710, 426, 5695, 15990, 26, 1237, 81, 426 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 6, 9, 8, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 2, 2, 3, 3, 3, 5, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 5, 5, 5, 6, 6, 5, 3, 3, 8, 8, 7, 7, 8, 8, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 11, 10, 11, 11, 11, 10, 7, 7, 8, 8, 7, 5, 5, 10, 10, 9, 8, 8, 11, 11, 10, 11, 10, 6, 6, 9, 10, 9, 12, 12, 12, 12, 10, 10, 12, 12, 12, 11, 11, 12, 12, 11, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 11, 11, 8, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 9, 9, 8, 9, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 9, 10, 10, 10, 8, 8, 8, 9, 8, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 9, 9, 8, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 6, 6, 7, 7, 7, 6, 5, 5, 7, 9, 8, 9, 9, 9, 10, 10, 8, 8, 9, 11, 15, 14, 16, 16, 14, 13, 15, 15, 15 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 7, 7, 0, 0, 0, 2, 2, 2, 2, 2, 0, 4, 4, 4, 4, 4, 4, 1, 1, 2, 2, 2, 2, 2, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 5, 5, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 5, 5, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 3, 0, 11, 11, 1, 2, 1, 2, 11, 11, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 5, 5, 5, 5, 5, 5, 2, 2, 2, 7, 7, 7, 7, 2, 2, 2, 9, 9, 2, 2, 2, 11, 11, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 4, 4, 4, 4, 4, 4, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 7, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 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, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 1, 1, 3, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0 ]
[ 1070, 49093, 1188, 596, 203, 1070, 638, 11628, 1188, 570, 23194, 1996, 9938, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 30609, 1188, 10701, 30, 1910, 20534, 30, 1910, 2852, 2727, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 37571, 1188, 1910, 2913, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 47935, 1188, 1910, 2727, 30, 1910, 1711, 30, 1910, 28084, 203, 1070, 2678, 21031, 32, 1262, 1188, 308, 284, 1910, 21031, 30, 284, 1910, 5360, 2727, 30, 284, 1910, 5360, 8615, 5716, 30, 284, 1910, 5360, 2963, 30, 284, 1910, 5360, 2570, 5378, 30, 203, 27, 203, 1070, 2678, 21031, 32, 8463, 1188, 1910, 5360, 1175, 2900, 203, 1070, 4377, 2796, 1188, 4581, 4152, 30, 6716, 30, 5548, 30, 4107, 1599, 30, 559, 1694, 1599, 30, 5548, 1176, 30, 5548, 1284, 30, 5548, 7897, 30, 766, 284, 8073, 43451, 203, 589, 443, 2214, 2262, 284, 442, 570, 23194, 1996, 4152, 203, 823, 570, 23194, 1996, 4152, 26, 1996, 4152, 711, 284, 477, 17614, 284, 665, 4269, 26, 784, 711, 291, 442, 1910, 5360, 2727, 32, 371, 6532, 2913, 4207, 95, 10632, 4045, 32, 3672, 657, 284, 477, 17614, 284, 665, 24878, 26, 784, 711, 291, 442, 330, 89, 4652, 25, 284, 477, 17614, 284, 665, 24878, 652, 26, 784, 711, 291, 442, 1910, 2852, 2727, 32, 7393, 463, 1199, 81, 4018, 370, 330, 10632, 4045, 683, 284, 477, 17614, 284, 665, 6887, 558, 26, 784, 711, 291, 442, 330, 97, 771, 25, 284, 477, 17614, 284, 665, 3387, 2963, 953, 26, 784, 711, 291, 442, 330, 13889, 33, 97, 771, 33, 8445, 26305, 33, 16717, 25, 284, 665, 22026, 2214, 26, 784, 30, 3387, 30, 8210, 711, 291, 442, 570, 23194, 3954, 26, 3841, 30, 8210, 27, 284, 665, 5008, 26, 784, 30, 2935, 47, 2521, 711, 291, 4567, 81, 426, 280, 630, 32, 3841, 558, 346, 291, 8735, 280, 1910, 5360, 2570, 5378, 32, 2386, 922, 6385, 4097, 26, 784, 32, 6385, 558, 1157, 291, 4567, 280, 8735, 32, 1809, 2798, 26, 3781, 81, 426, 27, 291, 415, 4567, 438, 1665, 44, 23688, 3636, 8073, 43451, 26, 784, 32, 359, 26, 103, 25, 8309, 438, 1289, 3417, 3500, 3387, 10698, 34, 16054, 1814, 1643, 26, 3781, 81, 426, 490, 291, 8210, 280, 1910, 5360, 8615, 5716, 346, 291, 8210, 32, 470, 3954, 26, 3781, 32, 3423, 1157, 291, 442, 630, 32, 3517, 705, 5716, 26, 3423, 27, 284, 477, 17614, 284, 665, 1015, 2798, 26, 784, 30, 4567, 81, 426, 30, 8210, 711, 291, 8735, 280, 1910, 5360, 2570, 5378, 32, 2386, 922, 6385, 4097, 26, 784, 32, 6385, 558, 1157, 291, 4567, 280, 8735, 32, 1297, 2798, 26, 3423, 32, 4603, 1026, 12797, 291, 8735, 32, 2853, 2798, 26, 3781, 30, 4567, 81, 426, 27, 291, 442, 2933, 284, 477, 17614, 284, 665, 1015, 2798, 1711, 9490, 26, 784, 30, 1623, 30, 2125, 30, 2935, 30, 1650, 711, 291, 1910, 2727, 32, 11243, 1788, 7417, 346, 291, 1596, 44, 324, 4870, 30, 4324, 81, 2029, 280, 1910, 28084, 32, 371, 2961, 6777, 26, 2544, 30, 15794, 2935, 32, 359 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 2, 1, 3, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 9, 9, 8, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 9, 9, 8, 9, 8, 10, 10, 10, 10, 8, 10, 10, 10, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 6, 8, 8, 8, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 4, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 7, 7, 8, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 8, 4, 4, 6, 6, 11, 11, 11, 10, 11, 10, 9, 9, 8, 11, 10, 11, 11, 10, 4, 4, 6, 6, 8, 9, 9, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 9, 9, 14, 13, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 11, 12, 12, 12, 11, 4, 4, 6, 6, 8, 8, 8, 8, 4, 4, 7, 8, 8, 7, 10, 9, 10, 9, 4, 4, 5, 7, 8, 8, 8, 7, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 6, 5, 5, 6, 6, 5, 5, 5, 4, 4, 7, 7, 12, 12, 12, 11, 12, 11, 10, 10, 9, 12, 11, 12, 12, 11, 5, 5, 7, 7, 9, 10, 10, 9, 12, 11, 12, 11, 9, 5, 5, 8, 9, 9, 8, 9, 8, 8, 9, 9, 8, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 9, 8, 9, 9, 9, 8, 5, 5, 6, 6, 6, 10, 10, 11, 11, 9, 9, 12, 11, 12, 12, 12, 11, 12, 11, 11, 11, 13, 14 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 4, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 3, 3, 0, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 19, 7, 0, 0, 8, 8, 1, 2, 8, 8, 0, 1, 1, 1, 0, 9, 9, 1, 1, 1, 2, 1, 1, 2, 9, 9, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 4, 4, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 1, 3, 3, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 4, 4, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 6, 2, 1, 2, 2, 3, 2, 2, 6, 6, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 3, 3, 3, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 1, 0, 0, 2, 1, 4, 4, 6, 0, 2, 2, 2, 1, 1, 1, 4, 4, 1, 7, 7, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 4, 4, 1, 8, 8, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2 ]
[ 465, 5237, 203, 465, 41879, 1146, 203, 1070, 2322, 1188, 1519, 203, 81, 725, 8366, 280, 1665, 203, 589, 3974, 1465, 31327, 1290, 2262, 284, 3649, 617, 725, 8366, 284, 415, 617, 725, 8366, 438, 1665, 44, 291, 617, 725, 8366, 280, 308, 3731, 32, 5134, 610, 330, 24917, 25, 461, 5608, 725, 25, 328, 5237, 32, 21823, 27, 284, 442, 617, 725, 8366, 203, 81, 11499, 83, 32679, 93, 280, 1665, 203, 589, 438, 21477, 51, 22816, 25762, 26, 2388, 711, 284, 3649, 617, 11499, 83, 32679, 93, 284, 415, 617, 11499, 83, 32679, 93, 438, 1665, 44, 291, 617, 11499, 83, 32679, 93, 280, 308, 10333, 1465, 31327, 1290, 346, 461, 656, 330, 83, 22816, 25, 328, 3051, 32, 4692, 32, 1851, 463, 4692, 370, 330, 3518, 2052, 759, 683, 461, 656, 330, 1290, 7175, 25, 646, 328, 3051, 32, 4692, 32, 1851, 463, 105, 1338, 370, 330, 1786, 370, 5608, 2847, 284, 442, 617, 11499, 83, 32679, 93, 203, 589, 19271, 2062, 5711, 26, 2388, 711, 284, 415, 308, 10333, 1465, 31327, 1290, 346, 461, 324, 2726, 1290, 7175, 25, 328, 3051, 32, 4692, 32, 1851, 463, 105, 1338, 370, 330, 1786, 370, 5608, 2847, 461, 324, 308, 2388, 32, 4692, 32, 1851, 463, 1338, 370, 330, 2675, 2649, 683, 610, 330, 42, 32, 39, 32, 41, 683, 8063, 291, 442, 308, 100, 20, 10431, 44, 886, 1503, 432, 32016, 33, 25762, 308, 42, 32, 39, 32, 41, 27, 328, 793, 1631, 20, 400, 540, 20, 526, 707, 10938, 5327, 96, 20, 400, 540, 20, 16354, 1913, 555, 1499, 32, 2958, 32, 1088, 33, 4984, 33, 4229, 33, 35795, 4692, 5681, 400, 540, 20, 436, 1550, 2471, 7144, 284, 813, 44, 291, 442, 3177, 203, 589, 1015, 2961, 1151, 4399, 26, 2388, 30, 296, 668, 711, 284, 665, 745, 2961, 974, 2740, 1132, 711, 291, 436, 2771, 328, 2181, 44, 324, 296, 668, 32, 1676, 26, 3359, 27, 284, 3051, 32, 1297, 2501, 440, 403, 4692, 403, 4229, 403, 2961, 3092, 392, 745, 2961, 974, 27, 203, 589, 10603, 25762, 7633, 26, 2388, 711, 284, 1596, 44, 291, 3051, 32, 4692, 32, 1851, 463, 4466, 370, 330, 5828, 683, 284, 2940, 41879, 1146, 32, 42064, 924, 44, 291, 3097, 203, 589, 2684, 4058, 2672, 26, 2388, 30, 296, 668, 711, 284, 645, 41879, 1146, 1188, 9997, 30, 3319, 30, 3319, 284, 645, 22405, 1356, 32, 4822, 1669, 1188, 35535, 466, 30, 622, 81, 14787, 11290, 284, 645, 22405, 1356, 1188, 11462, 2052, 284, 645, 22405, 1356, 1188, 12012, 720, 284, 645, 22405, 1356, 32, 6221, 1853, 1188, 10473, 1853, 11143, 284, 10446, 38499, 280, 9997, 26, 2388, 27, 284, 3051, 32, 7799, 26, 3039, 47, 8470, 38499, 27, 284, 10446, 836, 3557, 280, 2149, 284, 10446, 836, 3557, 710, 5910, 785, 280, 5269, 280, 9997, 26, 8470, 38499, 30, 636, 1057, 5910, 683, 284, 10446, 38499, 32, 669, 81, 26640, 26, 1172, 1057, 1669, 370, 5269, 47, 3039, 30, 28443, 47, 34, 27, 284, 665, 2364, 3518, 1745, 1469, 26, 3039, 47, 3039, 711, 291, 943, 280, 5269, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 4, 4, 2, 2, 3, 5, 5, 4, 4, 3, 3, 3, 7, 7, 6, 6, 11, 10, 11, 9, 9, 11, 11, 8, 8, 11, 11, 9, 9, 10, 11, 7, 2, 2, 3, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 2, 2, 3, 5, 5, 5, 5, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 11, 11, 11, 11, 11, 9, 9, 9, 12, 12, 12, 10, 10, 13, 14, 12, 13, 12, 14, 14, 12, 14, 14, 14, 14, 8, 8, 8, 11, 11, 11, 9, 9, 9, 12, 13, 11, 12, 11, 13, 13, 13, 11, 13, 13, 11, 13, 2, 2, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 8, 8, 8, 8, 8, 6, 6, 6, 10, 10, 10, 8, 8, 11, 12, 10, 11, 10, 12, 12, 12, 10, 12, 12, 10, 12, 5, 5, 5, 11, 10, 11, 9, 10, 9, 11, 11, 9, 11, 11, 11, 7, 7, 9, 9, 9, 9, 9, 9, 4, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 6, 4, 3, 3, 5, 5, 5, 5, 5, 5, 10, 9, 10, 9, 10, 9, 2, 2, 5, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 8, 9, 7, 8, 7, 9, 9, 7, 9, 9, 3, 3, 4, 6, 5, 6, 6, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 3, 5, 3, 3, 3, 3, 3, 3, 2, 2, 3, 5, 4, 5, 5, 3, 3, 5, 3, 3, 5, 5, 5, 2, 2, 3, 5, 3, 3, 5, 2, 2, 3, 5, 3, 3, 5, 2, 2, 3, 5, 4, 5, 5, 3, 3, 5, 5, 2, 2, 5, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 7, 6, 7, 7, 5, 2, 2, 5, 5, 4, 4, 2, 2, 6, 6, 5, 7, 7, 4, 4, 5, 5, 7, 8, 8, 7, 7, 8, 10, 10, 2, 2, 6, 5, 6, 6, 6, 5, 7, 6, 8, 8, 5, 6, 7, 5, 5, 6, 7, 5, 2, 2, 3, 4, 4, 4, 4, 6, 5, 6, 4, 3, 3, 6, 6, 8 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 4, 4, 2, 1, 1, 1, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 8, 8, 1, 1, 1, 2, 1, 2, 2, 3, 2, 8, 8, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 3, 0, 1, 2, 2, 3, 3, 3, 0, 10, 10, 1, 1, 2, 1, 2, 2, 3, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 4, 4, 2, 0, 2, 2, 0, 4, 4, 3, 0, 3, 3, 0, 4, 4, 4, 0, 1, 2, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 10, 1, 1, 1, 2, 0, 1, 2, 2, 10, 10, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 2361, 203, 465, 2322, 203, 465, 22977, 203, 465, 29590, 203, 465, 15798, 203, 465, 7683, 297, 203, 823, 439, 10967, 1006, 26, 18986, 32, 7233, 711, 334, 665, 14553, 26, 784, 711, 284, 630, 1114, 2868, 81, 1515, 280, 29590, 32, 4765, 86, 1433, 346, 284, 2599, 26, 59, 10967, 1006, 30, 630, 547, 23741, 346, 334, 665, 28921, 26, 784, 711, 284, 415, 2322, 32, 983, 32, 34103, 26, 784, 1114, 2868, 81, 1515, 711, 397, 22977, 32, 100, 41718, 26, 784, 1114, 2868, 81, 1515, 27, 284, 2599, 26, 59, 10967, 1006, 30, 630, 547, 519, 282, 3211, 346, 334, 665, 894, 17955, 2185, 5126, 3910, 17173, 26, 784, 711, 284, 1158, 81, 3239, 81, 15924, 280, 7683, 297, 32, 3239, 26, 35, 34, 34, 30, 630, 1114, 2868, 81, 1515, 27, 284, 630, 32, 862, 17672, 26, 3220, 81, 3239, 81, 15924, 30, 225, 34, 32, 43, 27, 284, 2361, 32, 944, 26, 1676, 26, 500, 32, 983, 32, 2524, 26, 784, 1114, 2868, 81, 1515, 30, 330, 1160, 32, 1260, 1425, 330, 2051, 2847, 334, 665, 894, 17955, 2185, 5126, 17173, 26, 784, 711, 284, 1158, 81, 3239, 81, 15924, 280, 7683, 297, 32, 3239, 26, 35, 34, 34, 30, 630, 1114, 2868, 81, 1515, 30, 36834, 47, 1815, 27, 284, 630, 32, 862, 17672, 26, 3220, 81, 3239, 81, 15924, 30, 225, 34, 32, 43, 27, 284, 2361, 32, 944, 26, 1676, 26, 500, 32, 983, 32, 2524, 26, 784, 1114, 2868, 81, 1515, 30, 330, 1160, 32, 1260, 1425, 330, 2051, 2847, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 15798, 32, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 5, 5, 9, 10, 10, 9, 11, 10, 11, 11, 11, 9, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 9, 8, 9, 8, 9, 9, 9, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 13, 12, 13, 11, 12, 11, 13, 12, 13, 13, 13, 11, 11, 13, 13, 13, 13, 9, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 9, 8, 9, 8, 9, 9, 9, 8, 8, 9, 10, 10, 10, 8, 8, 9, 10, 8, 4, 4, 7, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 13, 12, 13, 11, 12, 11, 13, 12, 13, 13, 13, 11, 11, 13, 13, 13, 13, 9, 11, 11, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 0, 9, 9, 1, 1, 2, 0, 1, 2, 2, 9, 9, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 5, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 10, 10, 0, 0, 1, 1, 1, 1, 10, 10, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1207, 102, 6502, 1188, 5788, 30, 3111, 203, 1070, 46624, 32, 4280, 1188, 1201, 81, 1508, 30, 1201, 81, 2228, 261, 203, 1070, 37247, 32, 7439, 1188, 17078, 81, 1382, 81, 1637, 203, 1070, 35674, 32, 2282, 32, 11452, 1188, 1258, 1552, 1308, 3564, 984, 203, 50, 2997, 463, 59, 2192, 3456, 7047, 645, 322, 15635, 5269, 22, 683, 203, 589, 595, 81, 1613, 81, 1553, 7047, 26, 2997, 711, 284, 5788, 32, 2942, 81, 4280, 346, 284, 2552, 81, 2079, 280, 330, 374, 32, 2172, 31, 7632, 31, 4280, 31, 1553, 7047, 312, 25, 284, 5788, 32, 2079, 81, 2942, 26, 1204, 81, 2079, 27, 284, 5788, 32, 1684, 81, 979, 81, 6825, 81, 5898, 346, 203, 50, 2997, 463, 59, 1159, 13197, 3456, 7047, 22, 683, 203, 589, 595, 81, 8791, 81, 27800, 81, 1553, 7047, 26, 2997, 711, 284, 3111, 32, 15813, 463, 59, 1159, 13197, 312, 537, 8419, 328, 9390, 683, 284, 3111, 32, 15813, 463, 59, 2192, 3456, 7047, 645, 322, 15635, 5269, 683, 203, 50, 2997, 463, 59, 2318, 322, 12074, 1244, 2115, 74, 1505, 7047, 22, 683, 203, 589, 595, 81, 2970, 81, 1536, 81, 1553, 7047, 26, 2997, 711, 284, 1505, 7047, 280, 5788, 32, 2079, 81, 1809, 3949, 31099, 31, 1311, 683, 284, 1201, 81, 2228, 26, 38, 30, 2069, 26, 1553, 7047, 490, 284, 1201, 81, 1508, 26, 1553, 7047, 77, 34, 997, 878, 32, 20643, 463, 20482, 17882, 6468, 9390, 2847, 284, 1201, 81, 1508, 26, 1553, 7047, 77, 35, 997, 878, 32, 20643, 463, 25352, 312, 559, 3967, 22509, 4306, 928, 2847, 284, 1201, 81, 1508, 26, 1553, 7047, 77, 36, 997, 878, 32, 20643, 440, 44407, 2115, 74, 6945, 101, 6318, 15635, 2131, 284, 1201, 81, 1508, 26, 1553, 7047, 77, 37, 997, 878, 32, 20643, 463, 25352, 10604, 22509, 17776, 6012, 2847, 203, 50, 2997, 463, 59, 883, 1505, 461, 707, 1553, 8253, 328, 312, 30874, 22, 683, 203, 589, 595, 81, 3374, 81, 1553, 81, 363, 81, 17642, 81, 8246, 26, 2997, 711, 284, 6144, 38941, 36, 1533, 26, 34, 30, 225, 41, 30, 225, 34, 27, 284, 10738, 2247, 26, 35, 30, 225, 34, 27, 284, 6144, 38941, 36, 1533, 26, 35, 30, 225, 41, 30, 225, 35, 38, 27, 284, 10738, 2247, 26, 35, 30, 225, 37, 27, 284, 6144, 38941, 36, 1533, 26, 36, 30, 225, 41, 30, 225, 36, 43, 27, 284, 10738, 2247, 26, 35, 30, 225, 40, 27, 284, 6144, 38941, 36, 1533, 26, 37, 30, 225, 41, 30, 225, 38, 37, 27, 284, 10738, 2247, 26, 35, 30, 225, 37, 27, 284, 6144, 38941, 36, 1533, 26, 36, 30, 225, 41, 30, 225, 36, 43, 27, 203, 50, 2997, 463, 1382, 8253, 884, 8464, 4324, 22, 683, 203, 589, 8253, 81, 11015, 631, 81, 4347, 26, 2997, 711, 284, 6144, 38941, 36, 1533, 26, 36, 30, 225, 41, 30, 225, 36, 43, 27, 284, 5788, 32, 7128, 32, 4526, 81, 1423, 440, 3518, 32, 5825, 1083, 26, 34, 30, 35, 34, 34, 34, 14451, 284, 10738, 2247, 26, 35 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 7, 7, 7, 6, 3, 3, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 6, 7, 7, 7, 6, 7, 7, 7, 6, 3, 3, 6, 7, 7, 7, 7, 7, 7, 7, 6, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 5, 5, 7, 8, 8, 8, 7, 9, 9, 9, 9, 3, 3, 6, 6, 6, 7, 6, 6, 8, 9, 9, 8, 3, 3, 6, 6, 6, 11, 11, 10, 11, 10, 10, 8, 9, 8, 10, 10, 10, 10, 10, 3, 3, 6, 6, 6, 11, 11, 10, 11, 10, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 6, 6, 6, 11, 11, 10, 11, 10, 10, 8, 9, 8, 10, 10, 10, 11, 10, 10, 10, 10, 3, 3, 6, 6, 6, 11, 11, 10, 11, 10, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 6, 6, 6, 7, 6, 6, 7, 6, 6, 7, 6, 3, 3, 6, 6, 7, 6, 6, 7, 6, 3, 3, 6, 6, 6, 6, 7, 6, 6, 7, 6, 6, 7, 7, 6, 3, 3, 6, 6, 7, 6, 6, 7, 6, 3, 3, 6, 6, 6, 6, 7, 6, 6, 7, 6, 6, 7, 7, 6, 3, 3, 6, 6, 7, 6, 6, 7, 6, 3, 3, 6, 6, 6, 6, 7, 6, 6, 7, 6, 6, 7, 7, 6, 3, 3, 6, 6, 7, 6, 6, 7, 6, 3, 3, 6, 6, 6, 6, 7, 6, 6, 7, 6, 6, 7, 7, 6, 0, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 6, 6, 6, 6, 7, 6, 6, 7, 6, 6, 7, 7, 6, 3, 3, 7, 8, 6, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 4, 4, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 4, 4, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 4, 4, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 4, 4, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1 ]
[ 862, 1156, 426, 505, 610, 9602, 1831, 505, 20, 203, 465, 5237, 203, 1070, 13296, 1188, 31571, 30, 2866, 974, 203, 32138, 280, 1524, 78, 203, 50, 1251, 18147, 426, 27, 101, 203, 50, 311, 2171, 318, 4215, 18147, 426, 27, 101, 203, 50, 13147, 7114, 18901, 23817, 203, 42668, 9381, 23817, 27, 101, 203, 50, 13147, 7114, 5591, 203, 42668, 2310, 27, 101, 203, 50, 13147, 7114, 6374, 4402, 203, 7495, 322, 203, 50, 513, 88, 109, 525, 555, 2912, 32, 24957, 1020, 2371, 32, 10628, 32, 1088, 33, 2912, 1840, 8172, 98, 47, 2837, 2957, 31, 8929, 32, 2912, 45, 83, 47, 3006, 81, 7355, 45, 88, 47, 95, 38, 9708, 26, 426, 27, 101, 32, 95, 38, 30, 5323, 203, 1648, 432, 477, 761, 4572, 26, 426, 27, 101, 32, 95, 38, 1540, 556, 32833, 203, 50, 513, 88, 109, 525, 555, 2912, 32, 24957, 1020, 2371, 32, 10628, 32, 1088, 33, 2912, 1840, 8172, 98, 47, 2837, 2957, 31, 8929, 32, 2912, 45, 83, 47, 6446, 45, 88, 47, 95, 38, 9708, 26, 426, 27, 101, 32, 95, 38, 30, 1382, 203, 10546, 1182, 14121, 8142, 4009, 203, 50, 13147, 7114, 1177, 203, 42668, 17583, 27, 101, 203, 42668, 2077, 27, 101, 203, 2993, 203, 589, 15358, 9929, 91, 26, 1954, 711, 334, 442, 4845, 32, 3227, 17079, 370, 6640, 50, 1895, 3227, 28302, 370, 6640, 109, 1895, 3227, 463, 10047, 6640, 8474, 203, 589, 2179, 23269, 26, 9719, 711, 334, 1201, 3896, 334, 1201, 3896, 77, 34, 79, 334, 1201, 3896, 77, 34, 1674, 34, 79, 334, 415, 3896, 77, 34, 1674, 34, 997, 297, 1166, 2262, 284, 442, 6640, 1745, 279, 1909, 969, 78, 96, 23, 101, 78, 96, 50, 416, 3438, 279, 1909, 969, 20, 904, 15358, 9929, 91, 9442, 96, 2473, 2524, 26, 9719, 490, 334, 813, 44, 284, 442, 15358, 9929, 91, 9442, 96, 2473, 2524, 26, 9719, 490, 203, 589, 2179, 4360, 26, 83, 711, 334, 1201, 312, 334, 312, 1365, 4548, 1446, 280, 15358, 9929, 91, 26, 83, 1365, 4548, 6890, 334, 312, 1365, 426, 1446, 280, 15358, 9929, 91, 26, 83, 1365, 426, 6890, 334, 415, 313, 1935, 20, 328, 312, 44, 284, 312, 1365, 1935, 1446, 280, 15358, 9929, 91, 26, 83, 1365, 1935, 6890, 284, 442, 313, 10581, 477, 11794, 2537, 18147, 4548, 27, 101, 18147, 426, 27, 101, 477, 1935, 4572, 26, 1935, 27, 101, 3845, 904, 312, 334, 813, 44, 284, 442, 313, 10581, 477, 11794, 2537, 18147, 4548, 27, 101, 18147, 426, 27, 101, 20, 904, 312, 203, 325, 2069, 26, 3731, 32, 6118, 27, 863, 225, 37, 44, 334, 3636, 3268, 440, 5790, 2016, 1628, 8345, 44, 904, 101, 20, 904, 330, 5608, 2524, 26, 1110, 26, 13707, 30, 5237, 32, 6118, 2610, 203, 26, 95, 38, 974, 30, 541, 974, 27, 280, 5237, 32, 6118, 77, 35, 10056, 203, 862, 963, 974, 863, 345, 38, 974, 203, 95, 280, 31571, 26, 95, 38, 974, 27, 203, 95, 32, 9381, 23817, 280, 6640, 1745, 279, 1909, 969, 78, 96, 23, 101, 78, 96, 50 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 3, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 9, 10, 9, 11, 9, 11, 11, 8, 7, 9, 7, 9, 9, 6, 5, 7, 5, 7, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 2, 2, 3, 4, 5, 4, 2, 2, 3, 5, 6, 5, 5, 4, 2, 2, 3, 7, 8, 7, 7, 6, 6, 6, 5, 3, 3, 5, 8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 13, 12, 11, 10, 11, 10, 3, 3, 4, 4, 4, 6, 8, 8, 8, 13, 12, 11, 10, 11, 10, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 2, 2, 5, 7, 7, 4, 4, 6, 6, 6, 8, 7, 9, 9, 2, 2, 5, 7, 7, 4, 4, 6, 6, 6, 8, 7, 9, 9, 2, 2, 3, 6, 6, 4, 4, 3, 3, 3, 7, 9, 9, 6, 6, 8, 8, 8, 10, 9, 11, 11, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 3, 3, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 0, 1, 1, 4, 6, 5, 6, 4, 2, 2, 3, 1, 1, 1, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 9, 8, 10, 10, 11, 10, 10, 11, 12, 10, 0, 3, 4, 4, 4, 3, 4, 4, 3, 2, 2, 4, 5, 3, 5, 4, 0, 1, 1, 3, 2, 2, 3, 3, 0, 3, 2, 2, 4, 5, 5, 5, 4, 0, 4, 3, 4, 4, 2, 2, 5, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 4, 4, 1, 1, 2, 1, 4, 4, 2, 0, 2, 0, 2, 1, 4, 4, 3, 0, 2, 0, 2, 0, 2, 2, 1, 3, 3, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 3, 3, 4, 4, 4, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 4, 4, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 4, 4, 3, 1, 2, 1, 1, 3, 3, 3, 0, 1, 2, 0, 0, 0, 0, 1, 0, 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, 3, 3, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 7, 7, 1, 0, 1, 2, 1, 1, 1, 2, 7, 7, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 1, 1, 1, 0, 3, 3, 0, 0, 0, 0, 2, 2, 0, 2, 0, 9, 9, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1 ]
[ 465, 5237, 203, 465, 816, 84, 6053, 203, 465, 559, 12574, 953, 203, 465, 816, 84, 6053, 8463, 203, 465, 816, 84, 6053, 16662, 203, 81, 16662, 81, 280, 816, 84, 6053, 16662, 32, 25700, 440, 2122, 32, 68, 12574, 12371, 657, 202, 203, 325, 5237, 32, 1648, 81, 1338, 2377, 225, 308, 36, 30, 225, 41, 711, 203, 202, 465, 2361, 203, 1824, 44, 203, 202, 465, 4281, 1260, 619, 2361, 203, 589, 2361, 81, 1217, 26, 1217, 711, 203, 202, 2458, 6053, 81, 1357, 280, 2361, 32, 16958, 26, 1217, 27, 203, 202, 1267, 280, 816, 84, 6053, 32, 4526, 3265, 9505, 26, 2458, 6053, 81, 1357, 27, 203, 202, 1267, 280, 15390, 26, 1267, 30, 330, 3310, 31, 42, 370, 3878, 1057, 3617, 683, 203, 202, 601, 2361, 32, 12474, 26, 1267, 27, 203, 823, 14129, 81, 8231, 44, 203, 202, 589, 1156, 1664, 3207, 784, 711, 357, 202, 784, 1114, 19186, 346, 203, 202, 589, 5840, 81, 800, 26, 784, 30, 2385, 30, 1628, 81, 1516, 711, 36365, 630, 32, 800, 35, 280, 630, 32, 2416, 81, 761, 346, 603, 202, 784, 32, 329, 280, 2933, 603, 202, 784, 32, 2403, 280, 2361, 32, 16958, 15520, 314, 563, 313, 34, 392, 313, 49009, 2510, 36, 32, 34, 392, 313, 1959, 2510, 1612, 32, 4863, 1031, 392, 313, 2132, 10638, 878, 563, 784, 32, 800, 35, 30, 313, 5087, 563, 784, 32, 329, 24471, 603, 202, 2458, 6053, 32, 4526, 3265, 9505, 26, 784, 32, 2403, 27, 203, 202, 589, 2164, 81, 761, 26, 784, 711, 1378, 14129, 280, 559, 12574, 953, 32, 12371, 22869, 9142, 47004, 14129, 32, 1409, 5824, 346, 47004, 1688, 280, 14129, 32, 10627, 346, 31452, 2071, 442, 1688, 203, 202, 589, 617, 19186, 26, 784, 711, 357, 202, 5525, 308, 1206, 816, 84, 6053, 32, 17862, 14815, 711, 355, 202, 2458, 6053, 32, 7840, 26, 39, 34, 34, 27, 355, 202, 784, 32, 998, 280, 225, 34, 355, 202, 784, 32, 928, 81, 1516, 280, 225, 34, 355, 202, 325, 816, 84, 6053, 32, 371, 21808, 9950, 463, 1669, 32, 34845, 26, 5002, 13241, 27, 7831, 2407, 603, 202, 784, 32, 2018, 81, 800, 26, 784, 32, 998, 30, 630, 32, 928, 81, 1516, 27, 203, 325, 13274, 426, 505, 610, 9602, 1831, 505, 10280, 203, 202, 11256, 95, 280, 14129, 81, 8231, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 0, 1, 1, 3, 4, 4, 4, 2, 2, 2, 4, 3, 3, 4, 3, 1, 1, 3, 3, 1, 2, 2, 2, 2, 4, 4, 7, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 4, 4, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 7, 6, 2, 2, 5, 4, 4, 6, 7, 6, 6, 8, 8, 8, 8, 6, 7, 9, 9, 2, 2, 3, 3, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 1, 1, 1, 3, 3, 4, 4, 5, 4, 3, 3, 8, 7, 8, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 4, 4, 8, 7, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 8, 9, 8, 12, 12, 10, 12, 12, 9, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 12, 12, 12, 12, 9, 12, 12, 14, 14, 14, 13, 14, 14, 11, 11, 14, 14, 14, 13, 14, 11, 4, 4, 8, 8, 7, 8, 8, 8, 7, 9, 8, 9, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 9, 8, 8, 4, 4, 7, 8, 8, 7, 4, 4, 6, 6, 8, 9, 8, 4, 4, 4, 5, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 7, 7, 9, 9, 8, 9, 9, 6, 5, 5, 10, 10, 9, 10, 9, 10, 10, 10, 9, 6, 6, 10, 9, 10, 8, 8, 9, 6, 6, 10, 9, 10, 10, 10, 8, 8, 9, 6, 6, 7, 7, 10, 10, 9, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 7, 7, 7, 12, 11, 12, 12, 12, 11, 13, 12, 13, 11, 11, 12, 13, 13, 13, 11, 0, 1, 1, 4, 4, 3, 3, 5, 5, 5, 1, 1, 5, 5, 4, 4, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 6, 6, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 6, 6, 0, 0, 6, 4, 4, 4, 4, 0, 0, 0, 1, 1, 0, 7, 7, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 2, 4, 4, 3, 3, 0, 2, 1, 1, 1, 0, 8, 8, 1, 1, 8, 8, 8, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 3, 3, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 4, 3, 3, 3, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 0, 0, 2, 3, 3, 0, 0, 2, 2, 2, 0, 0, 2, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 0, 9, 9, 0, 0, 1, 1, 1, 1, 2, 9, 9, 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 ]
[ 1211, 9980, 280, 1605, 203, 979, 595, 328, 2155, 26, 35, 36, 711, 284, 3777, 9980, 32, 1689, 2009, 34, 30, 225, 34, 30, 225, 34, 30, 225, 36, 34, 34, 1130, 225, 203, 3507, 280, 2156, 3247, 2833, 33, 8397, 33, 978, 605, 33, 2868, 4677, 639, 36, 34, 35, 36, 32, 2901, 370, 330, 100, 683, 203, 979, 1628, 266, 328, 3752, 44, 284, 1596, 44, 291, 3777, 280, 629, 26, 928, 266, 77, 34, 44, 36, 1130, 291, 1779, 280, 629, 26, 928, 266, 77, 35, 37, 44, 35, 40, 1130, 284, 2940, 10091, 44, 291, 1459, 330, 8418, 2398, 370, 1628, 266, 291, 4036, 284, 816, 280, 3777, 429, 225, 35, 284, 3777, 9980, 77, 106, 1674, 34, 79, 1454, 225, 35, 10065, 3777, 9980, 77, 106, 1674, 35, 79, 1454, 1779, 10065, 415, 1779, 848, 3777, 9980, 77, 106, 1674, 36, 2786, 291, 3777, 9980, 77, 106, 1674, 36, 79, 280, 1779, 10065, 415, 1779, 333, 3777, 9980, 77, 106, 1674, 37, 2786, 291, 3777, 9980, 77, 106, 1674, 37, 79, 280, 1779, 261, 203, 1211, 280, 225, 34, 203, 979, 13011, 359, 30, 14913, 317, 30, 1769, 2868, 30, 29999, 317, 328, 3777, 9980, 44, 284, 3777, 1454, 225, 35, 284, 1459, 8930, 44, 36, 86, 111, 7325, 40, 32, 35, 88, 111, 7325, 37, 86, 111, 7325, 37, 86, 16805, 1643, 26, 291, 3777, 30, 14913, 317, 33, 1808, 26, 4977, 359, 471, 1769, 2868, 30, 29999, 317, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 2, 2, 0, 1, 1, 1, 1, 3, 4, 4, 3, 1, 1, 6, 5, 6, 5, 7, 6, 6, 7, 6, 6, 7, 6, 6, 7, 7, 7, 6, 0, 0, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 0, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 3, 6, 6, 8, 10, 10, 9, 11, 10, 11, 9, 4, 4, 6, 6, 8, 10, 10, 9, 11, 11, 10, 11, 11, 9, 3, 3, 4, 4, 4, 4, 6, 8, 8, 8, 6, 7, 5, 5, 2, 2, 4, 4, 5, 5, 6, 2, 2, 7, 6, 7, 6, 6, 5, 4, 4, 5, 2, 2, 7, 6, 7, 6, 6, 5, 4, 4, 2, 2, 3, 4, 4, 7, 6, 7, 6, 6, 5, 3, 3, 9, 8, 9, 8, 8, 7, 6, 6, 2, 2, 3, 4, 4, 7, 6, 7, 6, 6, 5, 3, 3, 9, 8, 9, 8, 8, 7, 6, 6, 0, 0, 3, 2, 2, 3, 0, 1, 1, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 1, 1, 2, 1, 1, 1, 4, 4, 5, 2, 2, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 5, 5, 5, 7, 6, 8, 8, 9, 9, 8, 5, 6, 5, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 7, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 3, 3, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 3, 3, 3, 3, 0, 1, 1, 2, 0, 3, 3, 3, 5, 5, 0, 0, 2, 2, 2, 5, 5, 0, 0, 2, 0, 2, 0, 0, 0, 2, 5, 5, 0, 0, 2, 0, 2, 0, 0, 0, 5, 5, 4, 1, 1, 0, 0, 2, 0, 2, 2, 4, 4, 0, 0, 2, 0, 2, 0, 0, 0, 5, 5, 5, 1, 1, 0, 0, 2, 0, 2, 2, 5, 5, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 5, 5, 0, 1, 1, 2, 1, 1, 4, 1, 1, 6, 5, 5, 3, 5, 5, 5, 0, 0, 2, 5, 5, 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, 0, 3, 0, 1, 1, 1, 1, 1, 5, 1, 1, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3619, 17184, 32, 1040, 619, 617, 1040, 203, 465, 3619, 17184, 32, 3259, 32, 42053, 619, 617, 42053, 203, 465, 8074, 619, 617, 8304, 203, 465, 3619, 17184, 32, 3259, 32, 4911, 28988, 619, 33382, 203, 589, 35103, 26, 319, 1132, 30, 1115, 5321, 8063, 284, 415, 646, 2181, 461, 646, 10306, 44, 291, 442, 33382, 32, 14394, 26, 99, 47, 35, 27, 284, 813, 44, 291, 442, 33382, 32, 14394, 2740, 1132, 30, 1115, 5321, 27, 203, 589, 23418, 1043, 2262, 284, 442, 33382, 32, 14394, 26, 99, 47, 35, 27, 203, 589, 40383, 1043, 26, 1133, 8063, 284, 442, 33382, 32, 14394, 26, 1003, 27, 203, 589, 1149, 8738, 11822, 26, 319, 1132, 30, 1115, 5321, 8063, 284, 442, 1992, 26, 617, 8304, 32, 4997, 1212, 30, 617, 1040, 32, 668, 1562, 2521, 26, 28988, 32, 668, 8738, 11822, 26, 319, 1132, 30, 1115, 5321, 829, 829, 829, 203, 589, 1202, 1744, 26, 319, 1132, 30, 1115, 5321, 8063, 284, 736, 280, 617, 1040, 32, 668, 1562, 2521, 26, 33382, 32, 678, 1744, 2740, 1132, 30, 1115, 5321, 27, 829, 284, 415, 10306, 32, 371, 463, 1217, 370, 10306, 32, 371, 463, 99, 370, 3177, 27, 829, 461, 766, 324, 10306, 32, 371, 463, 853, 1791, 370, 10306, 32, 371, 463, 4816, 370, 3177, 27, 829, 461, 10306, 32, 371, 463, 1003, 1791, 370, 10306, 32, 371, 463, 5478, 370, 3177, 27, 8063, 291, 442, 1149, 2176, 1040, 32, 5210, 3853, 26, 575, 490, 284, 442, 736, 203, 589, 409, 40263, 2740, 1132, 30, 1115, 5321, 711, 284, 442, 1992, 26, 617, 8304, 32, 4997, 1212, 30, 33382, 32, 589, 494, 265, 2740, 1132, 30, 1115, 5321, 27, 829, 203, 589, 16182, 2740, 1132, 30, 1115, 5321, 711, 284, 736, 280, 33382, 32, 11941, 2740, 1132, 30, 1115, 5321, 27, 284, 415, 10306, 32, 371, 463, 1217, 370, 10306, 32, 371, 26, 330, 99, 370, 3177, 8531, 291, 2181, 280, 428, 291, 330, 3248, 7934, 74, 370, 330, 3246, 106, 370, 291, 330, 3248, 7934, 75, 370, 330, 3246, 107, 370, 291, 330, 3248, 7934, 76, 370, 330, 3246, 108, 370, 291, 330, 270, 2937, 4321, 74, 370, 330, 270, 106, 370, 291, 330, 270, 2937, 4321, 75, 370, 330, 27806, 370, 291, 330, 270, 2937, 4321, 76, 370, 330, 270, 108, 370, 291, 330, 3695, 74, 370, 330, 648, 370, 291, 330, 3695, 75, 370, 330, 395, 370, 291, 330, 3695, 76, 370, 330, 1373, 25, 291, 1481, 291, 415, 2761, 26, 9254, 816, 44, 816, 328, 2181, 30, 10306, 32, 3494, 22805, 324, 736, 280, 736, 77, 34, 79, 284, 813, 44, 291, 1596, 44, 324, 736, 280, 33382, 32, 3246, 26, 2003, 47, 35, 5594, 34, 79, 291, 2940, 44, 324, 3097, 284, 442, 736, 203, 589, 617, 12704, 26, 3420, 8063, 284, 665, 13118, 2740, 1132, 30, 1115, 5321, 711, 291, 415, 10306, 32, 371, 26, 330, 1217, 370, 10306, 32, 371, 463, 99, 370, 3177, 27, 461, 2069, 26, 1132, 19162, 35, 27, 499, 324, 11758, 280, 428, 324, 330, 417, 2863, 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 ]
[ 1, 1, 4, 3, 4, 2, 2, 3, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 3, 0, 1, 1, 2, 2, 3, 0, 1, 1, 4, 3, 4, 3, 4, 4, 2, 2, 0, 1, 1, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 5, 4, 4, 5, 3, 3, 3, 5, 7, 8, 7, 9, 8, 9, 7, 3, 3, 4, 4, 4, 6, 8, 9, 8, 10, 8, 8, 10, 8, 0, 1, 1, 2, 2, 1, 1, 3, 5, 6, 5, 7, 6, 7, 5, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 5, 5, 7, 6, 7, 7, 5, 5, 8, 7, 8, 8, 8, 7, 10, 9, 10, 10, 10, 9, 9, 11, 9, 9, 11, 9, 7, 5, 0, 1, 1, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 6, 8, 9, 9, 8, 10, 8, 8, 10, 8, 6, 2, 2, 3, 7, 8, 7, 9, 9, 7, 9, 10, 9, 11, 11, 9, 9, 7, 5, 5, 6, 5, 7, 8, 7, 9, 9, 9, 7, 9, 10, 9, 11, 11, 9, 9, 7, 4, 4, 6, 7, 6, 8, 8, 8, 6, 8, 9, 8, 10, 10, 8, 8, 6, 3, 3, 5, 7, 10, 9, 10, 10, 9, 10, 9, 2, 2, 3, 0, 1, 1, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 5, 5, 7, 6, 7, 7, 5, 5, 7, 8, 8, 8, 7, 9, 7, 7, 9, 7, 5, 0, 1, 1, 2, 4, 2, 2, 4, 2, 1, 1, 4, 4, 6, 7, 6, 8, 6, 6, 8, 6, 2, 2, 3, 5, 6, 5, 7, 7, 5, 7, 8, 7, 7, 9, 9, 7, 7, 3, 3, 6, 6, 7, 7, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 7, 7, 9, 9, 9, 7, 9, 9, 7, 7, 9, 9, 9, 7, 9, 9, 7, 7, 9, 9, 9, 7, 9, 9, 7, 7, 4, 4, 5, 7, 7, 8, 8, 8, 9, 9, 7, 7, 9, 10, 9, 5, 5, 8, 8, 9, 10, 9, 3, 3, 4, 4, 4, 6, 6, 6, 9, 9, 12, 13, 12, 14, 13, 14, 12, 11, 10, 6, 6, 7, 7, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 1, 1, 3, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 8, 7, 7, 9, 9, 7, 10, 11, 10, 12, 12, 10, 10, 8, 8, 11, 12, 11, 10, 7, 5, 5, 5, 8, 8, 9, 9, 11, 11, 11, 9 ]
[ 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 4, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 3, 3, 0, 0, 2, 0, 4, 4, 1, 1, 0, 4, 4, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 5, 5, 1, 2, 5, 5, 0, 0, 2, 1, 0, 1, 2, 1, 0, 6, 6, 1, 2, 2, 2, 6, 6, 0, 0, 2, 1, 1, 1, 0, 7, 7, 1, 1, 2, 2, 1, 2, 2, 1, 2, 7, 7, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 8, 8, 1, 2, 2, 1, 2, 2, 1, 2, 8, 8, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 2, 0, 9, 9, 1, 2, 1, 2, 2, 1, 2, 9, 9, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 10, 10, 2, 1, 2, 2, 1, 2, 10, 10, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 3, 3, 3, 4, 4, 2, 0, 11, 11, 1, 2, 2, 2, 11, 11, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 3, 3, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2 ]
[ 465, 11412, 203, 465, 2322, 203, 465, 1933, 203, 465, 316, 203, 1070, 10245, 1188, 23501, 203, 1070, 32714, 107, 32, 35585, 1188, 3772, 44907, 203, 1070, 32714, 107, 32, 9003, 1188, 13030, 27534, 4439, 203, 1070, 32714, 107, 32, 525, 1188, 4448, 30, 13030, 1397, 30, 3720, 1104, 203, 1070, 32714, 107, 32, 2304, 32, 1986, 1188, 622, 81, 1439, 81, 965, 203, 1070, 32714, 107, 32, 2304, 32, 965, 1188, 1984, 2524, 81, 21072, 203, 1070, 32714, 107, 32, 525, 32, 21326, 1188, 28411, 20396, 203, 1070, 4054, 81, 419, 20390, 32, 3028, 1188, 7688, 30, 7688, 4888, 38714, 7038, 619, 7688, 4888, 203, 4386, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 203, 823, 9123, 405, 7923, 44907, 26, 1761, 44907, 711, 284, 636, 280, 330, 28342, 380, 31, 1323, 107, 31, 502, 405, 31, 4280, 32, 2947, 25, 284, 6660, 81, 20798, 280, 2107, 502, 405, 31, 4280, 32, 2947, 785, 284, 665, 1477, 81, 9698, 26, 784, 711, 291, 623, 2156, 26, 500, 32, 983, 32, 2524, 26, 4386, 30, 330, 502, 405, 4280, 32, 4700, 2847, 619, 296, 44, 324, 6187, 280, 11412, 32, 7167, 3300, 26, 88, 27, 324, 436, 2698, 328, 6187, 44, 400, 1984, 280, 2698, 710, 965, 785, 400, 415, 1984, 44, 528, 6761, 4448, 26, 965, 30, 6089, 12516, 22441, 950, 2698, 710, 22441, 785, 835, 3309, 47, 784, 32, 2208, 81, 2445, 30, 21557, 81, 2029, 47, 1815, 27, 284, 665, 3185, 26, 784, 30, 1789, 711, 291, 3097, 284, 665, 3185, 81, 2445, 26, 784, 30, 1789, 711, 291, 420, 4895, 280, 13030, 27534, 4439, 26, 1986, 27, 291, 11522, 280, 7688, 4888, 26, 1094, 47, 3409, 1026, 9182, 47, 90, 4895, 27, 291, 11522, 32, 669, 81, 853, 463, 965, 370, 1789, 32, 965, 27, 291, 11522, 32, 669, 81, 16689, 463, 426, 370, 1044, 25, 306, 90, 35, 33, 878, 346, 683, 291, 7661, 280, 420, 4895, 32, 1613, 463, 306, 662, 13283, 1621, 347, 2186, 31, 891, 44, 225, 35, 39, 1082, 45, 1963, 44, 588, 83, 41, 34, 83, 34, 83, 45, 2357, 31, 3292, 44, 13764, 1446, 33, 878, 346, 1814, 8281, 346, 291, 415, 7661, 44, 324, 7661, 280, 7661, 77, 34, 997, 3227, 463, 5769, 9142, 324, 11522, 32, 669, 81, 853, 463, 4415, 370, 7661, 27, 291, 813, 44, 324, 11522, 32, 669, 81, 853, 463, 4415, 370, 225, 34, 27, 291, 11522, 32, 669, 81, 853, 463, 22441, 370, 1789, 32, 2859, 710, 22441, 3490, 291, 6761, 11522, 32, 944, 81, 1094, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 1, 1, 4, 4, 4, 2, 2, 3, 0, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 10, 14, 13, 14, 12, 13, 12, 13, 12, 12, 14, 14, 14, 14, 14, 14, 8, 8, 5, 5, 5, 8, 8, 10, 11, 11, 10, 11, 10, 6, 6, 7, 7, 7, 7, 7, 7, 10, 10, 11, 13, 13, 8, 8, 9, 9, 9, 9, 12, 14, 15, 14, 14, 15, 19, 19, 17, 18, 20, 20, 16, 14, 15, 17, 16, 17, 17, 17, 14, 14, 16, 16, 15, 16, 14, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 6, 6, 8, 8, 8, 9, 8, 4, 4, 6, 6, 8, 8, 10, 9, 11, 11, 8, 9, 10, 10, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 6, 6, 11, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 8, 4, 4, 5, 5, 5, 5, 8, 8, 11, 12, 11, 11, 10, 12, 10, 6, 6, 9, 10, 10, 10, 9, 11, 11, 9, 9, 5, 5, 6, 6, 6, 10, 11, 11, 11, 10, 12, 12, 10, 11, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 7, 9, 10, 8, 10, 10, 4, 4, 6, 8, 9, 9, 9, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 7, 7, 0, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 10, 10, 0, 1, 2, 1, 4, 10, 10, 0, 0, 11, 11, 0, 0, 0, 1, 2, 11, 11, 11, 11, 0, 0, 0, 5, 5, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 13, 13, 1, 1, 1, 2, 1, 1, 2, 13, 13, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 5, 5, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 1, 2, 1, 2, 1, 2, 2, 1, 5, 0, 2, 2, 2, 2, 1, 1, 0, 0, 7, 2, 1, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 0, 1, 0, 1, 1, 3, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 5, 5, 5, 5, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 2, 2, 2, 1, 1, 2, 1, 1, 5, 5, 4, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 3, 1, 2, 4, 4, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 485, 3626, 1188, 1995, 30, 18109, 6859, 30, 4361, 6859, 30, 24241, 30, 7064, 2275, 30, 5447, 30, 7181, 203, 19914, 81, 10573, 280, 225, 40, 38, 34, 203, 19914, 81, 15000, 280, 225, 40, 38, 34, 203, 823, 16048, 97, 26, 10792, 711, 284, 1278, 305, 11956, 280, 5447, 26, 34, 3126, 37, 37, 486, 30, 225, 35, 27, 284, 310, 29391, 280, 7064, 2275, 26, 34, 30, 1278, 305, 11956, 27, 284, 7057, 280, 18109, 6859, 26, 36, 39, 30, 39, 30, 310, 29391, 30, 1278, 305, 11956, 27, 284, 665, 1156, 1664, 3207, 784, 30, 2747, 711, 291, 2599, 17094, 1664, 3207, 12422, 97, 32, 5474, 30, 2747, 27, 291, 630, 32, 14181, 280, 225, 34, 291, 630, 32, 13331, 280, 225, 39, 291, 630, 32, 5185, 2390, 280, 630, 32, 18826, 2390, 280, 225, 34, 32, 36, 39, 291, 3203, 6758, 280, 630, 32, 4919, 13287, 1554, 40904, 26, 14993, 27, 291, 11325, 265, 32, 12220, 26111, 440, 27925, 1461, 101, 392, 630, 32, 38206, 299, 27, 291, 630, 32, 2982, 618, 280, 2933, 284, 665, 3111, 26, 784, 711, 291, 630, 32, 13331, 280, 630, 32, 13331, 474, 225, 35, 32, 36, 39, 291, 630, 32, 107, 1454, 630, 32, 13331, 291, 3203, 6758, 280, 630, 32, 4919, 13287, 1554, 40904, 26, 14993, 27, 291, 415, 2069, 26, 839, 6758, 27, 863, 225, 34, 44, 324, 630, 32, 107, 5912, 630, 32, 13331, 324, 630, 32, 13331, 280, 225, 34, 324, 630, 32, 2982, 618, 280, 3177, 291, 813, 44, 4288, 630, 32, 2982, 618, 280, 2933, 291, 630, 32, 106, 1454, 630, 32, 14181, 291, 3203, 6758, 280, 630, 32, 4919, 13287, 1554, 40904, 26, 14993, 27, 291, 415, 2069, 26, 839, 6758, 27, 863, 225, 34, 44, 324, 630, 32, 106, 5912, 630, 32, 14181, 324, 630, 32, 14181, 280, 225, 34, 324, 630, 32, 2982, 618, 280, 3177, 291, 813, 44, 324, 630, 32, 2982, 618, 280, 2933, 284, 665, 36643, 299, 26, 784, 30, 1567, 711, 291, 415, 630, 32, 2982, 618, 610, 2933, 44, 324, 630, 32, 13331, 280, 630, 32, 13331, 474, 225, 35, 262, 203, 823, 35059, 26, 10792, 711, 284, 6176, 280, 5447, 26, 34, 30, 225, 35, 27, 284, 310, 29391, 280, 7064, 2275, 26, 34, 30, 6176, 27, 284, 7057, 280, 18109, 6859, 26, 36, 39, 30, 225, 36, 39, 30, 310, 29391, 30, 6176, 27, 284, 665, 1156, 1664, 3207, 784, 30, 2747, 711, 291, 2599, 17094, 1664, 3207, 14993, 32, 5474, 30, 2747, 27, 291, 630, 32, 14181, 280, 225, 34, 291, 630, 32, 13331, 280, 225, 34, 291, 630, 32, 5185, 2390, 280, 630, 32, 18826, 2390, 280, 225, 34, 32, 36, 39, 203, 823, 551, 9516, 26, 10792, 711, 284, 19866, 280, 5447, 26, 34, 30, 225, 35, 27, 284, 337, 928, 280, 7064, 2275, 26, 34, 30, 19866, 27, 284, 10087, 280, 5447, 26, 34, 106, 34, 34, 34, 34, 486, 30, 225, 35, 32, 34, 27, 284, 7057, 280, 18109, 6859, 26, 36, 39, 30, 225, 39, 34, 30, 337 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 6, 6, 7, 6, 6, 7, 7, 6, 2, 2, 4, 4, 6, 6, 7, 7, 6, 7, 6, 6, 7, 6, 6, 7, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 8, 8, 9, 9, 8, 9, 7, 7, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 7, 7, 8, 8, 8, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 4, 4, 8, 7, 8, 8, 7, 9, 9, 9, 9, 7, 8, 9, 9, 7, 4, 4, 7, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 7, 7, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 4, 4, 5, 8, 9, 9, 8, 6, 6, 7, 5, 5, 5, 9, 10, 8, 8, 9, 10, 6, 6, 9, 10, 8, 8, 9, 6, 6, 9, 10, 10, 8, 8, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 4, 4, 7, 8, 6, 6, 7, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 4, 4, 5, 8, 9, 9, 8, 6, 6, 7, 5, 5, 5, 9, 10, 8, 8, 9, 10, 6, 6, 9, 10, 8, 8, 9, 6, 6, 9, 10, 10, 8, 8, 5, 5, 6, 6, 6, 10, 11, 11, 9, 9, 2, 2, 3, 4, 4, 5, 4, 5, 4, 3, 3, 5, 7, 8, 8, 6, 6, 5, 5, 5, 9, 10, 8, 8, 10, 11, 9, 9, 10, 0, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 6, 6, 7, 6, 6, 6, 2, 2, 4, 4, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 9, 8, 8, 9, 8, 9, 7, 7, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 6, 6, 8, 9, 9, 7, 7, 8, 8, 8, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 6, 6, 7, 6, 2, 2, 5, 4, 4, 6, 6, 7, 6, 6, 6, 2, 2, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 7, 1, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 4, 4, 0, 2, 2, 0, 0, 4, 4, 4, 2, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 2, 0, 0, 2, 2, 3, 3, 0, 2, 0, 0, 2, 3, 3, 0, 2, 2, 0, 0, 3, 3, 4, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 1, 2, 6, 6, 6, 0, 2, 0, 0, 2, 2, 3, 3, 0, 2, 0, 0, 2, 3, 3, 0, 2, 2, 0, 0, 6, 6, 4, 4, 4, 0, 2, 2, 0, 0, 4, 4, 5, 1, 2, 1, 2, 3, 2, 5, 5, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 2, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 1, 2, 2, 0, 1, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 1 ]
[ 1270, 44, 284, 645, 8206, 13835, 32, 2796, 1188, 3973, 4045, 9651, 284, 1156, 983, 9818, 8233, 26, 2796, 4045, 9651, 4064, 426, 28154, 203, 7343, 29986, 44, 284, 1188, 5237, 30, 2322, 284, 1156, 983, 9818, 8233, 2009, 500, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 2524, 26, 106, 30, 330, 3977, 302, 2114, 370, 330, 3477, 370, 330, 7294, 508, 2847, 3486, 436, 816, 328, 5237, 32, 983, 1130, 203, 505, 464, 505, 280, 1605, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 5, 4, 5, 3, 3, 5, 5, 2, 2, 6, 6, 6, 5, 7, 7, 7, 7, 8, 8, 1, 2, 2, 2, 2, 2, 4, 4, 4, 3, 3, 7, 7, 7, 6, 11, 10, 11, 9, 10, 9, 13, 12, 13, 11, 12, 11, 12, 11, 11, 13, 13, 13, 13, 11, 13, 13, 11, 13, 13, 13, 7, 7, 8, 8, 8, 9, 10, 7, 0, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 11685, 203, 1070, 11993, 1188, 40400, 444, 30, 27087, 30, 14580, 30, 5648, 30, 16736, 30, 11713, 30, 16545, 203, 1070, 9270, 32, 1237, 81, 1262, 1188, 15948, 295, 81, 104, 35, 4696, 203, 1070, 9270, 32, 1237, 81, 1262, 1188, 14505, 81, 8774, 81, 4396, 2033, 203, 1070, 9270, 32, 1237, 81, 1262, 1188, 7373, 81, 104, 35, 3389, 203, 1070, 9270, 32, 2393, 1188, 10677, 619, 14108, 81, 12623, 264, 203, 1070, 9270, 32, 2393, 32, 9613, 32, 7052, 1188, 358, 2003, 10103, 261, 203, 465, 36435, 32, 1648, 203, 465, 14505, 8240, 203, 1070, 14505, 32, 19561, 1188, 38576, 261, 203, 1070, 9270, 32, 1237, 1188, 1913, 1548, 81, 4365, 36, 261, 203, 1070, 9270, 32, 3209, 32, 28264, 367, 3483, 81, 104, 35, 5992, 35, 32, 2516, 1188, 1188, 81, 203, 1070, 9270, 32, 3209, 32, 28264, 367, 3483, 81, 104, 35, 5992, 35, 32, 2516, 1188, 1256, 81, 1567, 619, 485, 2446, 81, 496, 81, 1567, 203, 1070, 9270, 32, 3209, 32, 28264, 367, 3483, 81, 104, 35, 5992, 35, 32, 2516, 1188, 1256, 81, 1567, 81, 2122, 203, 1070, 9270, 32, 9512, 771, 37852, 1188, 7373, 81, 4365, 36, 261, 203, 1070, 638, 1439, 1188, 2680, 1151, 1183, 9998, 30, 4040, 81, 10923, 81, 1589, 203, 1070, 638, 7052, 1188, 2680, 1151, 1183, 28209, 9998, 203, 823, 2680, 1151, 1183, 28209, 2981, 2338, 9998, 26, 1240, 1151, 1183, 9998, 711, 284, 617, 7052, 81, 3237, 44, 38576, 32, 3525, 284, 617, 34621, 44, 14580, 77, 466, 30, 27087, 79, 280, 2149, 284, 477, 17614, 284, 665, 1487, 81, 3237, 26, 6933, 30, 5556, 3408, 44, 596, 280, 330, 28264, 367, 3483, 32, 12717, 32, 508, 370, 5556, 10677, 44, 14108, 81, 12623, 32, 10103, 280, 1665, 30, 5556, 10677, 81, 761, 44, 5648, 77, 466, 79, 280, 1665, 30, 5556, 25353, 44, 5648, 77, 5897, 77, 466, 3212, 280, 1665, 30, 5556, 22223, 81, 2250, 81, 314, 44, 5648, 77, 466, 79, 280, 1665, 30, 5556, 1115, 5321, 27, 967, 38576, 32, 3525, 44, 291, 442, 14505, 81, 8774, 81, 4396, 32, 1297, 81, 3237, 26, 324, 3408, 30, 324, 10677, 47, 12623, 30, 324, 10677, 81, 761, 47, 12623, 81, 761, 30, 324, 22223, 81, 2250, 81, 314, 47, 25741, 81, 2250, 81, 314, 30, 324, 1244, 81, 25661, 47, 6933, 32, 9036, 81, 31311, 30, 324, 25353, 47, 25661, 30, 324, 1244, 81, 2035, 47, 6933, 32, 5807, 81, 8472, 30, 324, 1115, 5321, 291, 829, 284, 665, 1156, 1664, 3207, 784, 30, 9305, 324, 3408, 44, 596, 280, 330, 28264, 367, 3483, 32, 12717, 32, 508, 370, 324, 10677, 44, 14108, 81, 12623, 32, 10103, 280, 1665, 30, 324, 10677, 81, 761, 44, 5648, 77, 466, 79, 280, 1665, 30, 324, 25353, 44, 5648, 77, 5897, 77, 466, 3212, 280, 1665, 30, 324, 3826, 44, 38576, 32, 3525, 280, 1665, 30, 324, 4125, 81, 1601, 3246, 81, 7986, 44, 596, 280, 1665, 30, 324, 2043, 81, 6989, 81, 1855, 44, 27087, 9532, 614, 11713, 77, 3651, 30, 3519, 3212, 280, 1665, 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, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 0, 1, 1, 2, 3, 0, 1, 1, 0, 0, 1, 1, 2, 3, 1, 1, 0, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 0, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 7, 2, 2, 5, 4, 4, 7, 9, 7, 7, 7, 4, 4, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 9, 9, 8, 9, 6, 6, 5, 5, 5, 7, 7, 6, 6, 9, 11, 9, 6, 6, 5, 5, 5, 6, 6, 9, 12, 12, 14, 12, 6, 6, 5, 5, 5, 7, 7, 7, 7, 6, 6, 9, 11, 9, 6, 6, 5, 5, 5, 7, 5, 4, 4, 6, 7, 4, 4, 4, 6, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 11, 10, 11, 11, 11, 8, 8, 8, 9, 10, 8, 8, 8, 10, 10, 9, 11, 10, 11, 11, 11, 8, 8, 8, 10, 8, 8, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 5, 8, 8, 7, 8, 5, 5, 4, 4, 4, 6, 6, 5, 5, 8, 10, 8, 5, 5, 4, 4, 4, 5, 5, 8, 11, 11, 13, 11, 5, 5, 4, 4, 4, 5, 5, 7, 8, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 5, 5, 8, 10, 8, 11, 13, 11, 11, 11, 5, 5, 4 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 5, 5, 3, 3, 2, 2, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 0, 8, 8, 0, 0, 9, 9, 1, 2, 9, 9, 0, 0, 10, 10, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 11, 11, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 6, 11, 11, 0, 0, 12, 12, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 6, 12, 12, 0, 0, 3, 3, 2, 2, 2, 2, 2, 0, 13, 13, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 6, 13, 13, 0, 0, 0, 0, 0, 14, 14, 1, 2, 2, 2, 14, 14, 0, 0, 0, 0, 0, 15, 15, 0, 15, 15, 0, 0, 0, 15, 15, 0, 0, 0, 0, 0, 16, 16, 0, 16, 16, 0, 0, 0, 0, 0, 17, 17, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 17, 17, 0, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 4, 4, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 0, 0, 0, 2, 5, 5, 2, 2, 2, 0, 0, 7, 7, 1, 0, 1, 7, 7, 2, 2, 2, 9, 9, 1, 0, 1, 0, 1, 9, 9, 2, 2, 2, 0, 0, 0, 0, 11, 11, 1, 0, 1, 11, 11, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 7, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 9, 0, 2, 2, 2, 2, 1, 1, 1, 11, 2, 1, 1, 1, 0, 0, 13, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 7, 7, 0, 0, 0, 2, 7, 7, 2, 2, 2, 0, 0, 9, 9, 1, 0, 1, 9, 9, 2, 2, 2, 11, 11, 1, 0, 1, 0, 1, 11, 11, 2, 2, 2, 13, 13, 0, 2, 13, 13, 2, 2, 2, 0, 0, 0, 0, 0, 15, 15, 15, 15, 2, 2, 2, 0, 0, 0, 0, 17, 17, 1, 0, 1, 1, 0, 1, 1, 1, 17, 17, 2 ]
[ 1070, 3312, 32, 1163, 1188, 1695, 81, 6175, 30, 1695, 81, 965, 203, 1070, 5296, 32, 5536, 1188, 4450, 30, 4131, 81, 6398, 203, 1070, 5296, 32, 8147, 32, 3237, 1188, 11026, 203, 1070, 15798, 1188, 19205, 203, 465, 16539, 203, 465, 8745, 203, 465, 3995, 203, 465, 42406, 203, 465, 2322, 203, 589, 14553, 2459, 2262, 284, 16539, 32, 1553, 81, 2024, 27265, 203, 6177, 81, 19856, 15476, 1439, 81, 6175, 3188, 28295, 5681, 203, 3925, 429, 4918, 3941, 6177, 81, 19856, 20, 203, 10174, 3941, 6177, 81, 19856, 20, 203, 43231, 19967, 31, 605, 44, 429, 68, 3941, 6177, 81, 19856, 5681, 203, 47148, 1643, 26, 203, 1439, 81, 6175, 280, 1695, 81, 6175, 203, 471, 9073, 47, 1815, 27, 203, 823, 2108, 42935, 26, 7233, 711, 284, 665, 894, 81, 28295, 26, 784, 711, 291, 436, 595, 328, 2155, 26, 34, 30, 225, 35, 34, 34, 711, 324, 630, 1114, 3855, 518, 81, 4184, 346, 324, 1522, 36634, 280, 4450, 26, 784, 32, 2895, 32, 5460, 463, 3310, 31, 42, 2847, 324, 4131, 81, 6398, 26, 906, 36634, 30, 630, 32, 983, 27, 324, 630, 32, 3237, 280, 11026, 26, 400, 330, 2246, 88, 3160, 370, 400, 301, 528, 330, 965, 25, 499, 630, 32, 965, 30, 528, 330, 2895, 25, 499, 630, 32, 2895, 32, 5460, 463, 3310, 31, 42, 683, 400, 320, 324, 829, 324, 630, 1114, 37320, 81, 9698, 26, 35, 34, 30, 225, 35, 34, 34, 30, 225, 37, 34, 30, 225, 39, 34, 27, 324, 630, 1114, 6008, 81, 4184, 346, 284, 665, 617, 37320, 81, 9698, 26, 324, 630, 30, 324, 1334, 81, 1366, 30, 324, 1334, 81, 452, 30, 324, 3111, 81, 6386, 81, 1366, 30, 324, 3111, 81, 6386, 81, 452, 711, 291, 436, 595, 328, 2155, 26, 891, 81, 1366, 30, 1334, 81, 452, 30, 3995, 32, 21378, 26, 2997, 81, 6386, 81, 1366, 30, 3111, 81, 6386, 81, 452, 8531, 324, 5797, 280, 8745, 32, 8352, 32, 6386, 466, 26, 91, 27, 324, 630, 32, 5299, 26, 400, 630, 32, 3237, 32, 2714, 26, 528, 330, 3474, 4912, 101, 724, 25, 904, 528, 5797, 32, 5460, 463, 3310, 31, 42, 2847, 77, 34, 614, 400, 5797, 27, 284, 477, 17614, 284, 665, 617, 3855, 518, 81, 4184, 26, 6933, 711, 291, 9011, 32, 2895, 280, 8745, 32, 8352, 32, 6386, 466, 26, 35, 34, 27, 291, 3882, 81, 2888, 280, 42406, 32, 954, 39, 26, 6933, 32, 2895, 547, 6949, 13995, 922, 5729, 346, 291, 4870, 280, 6611, 101, 16335, 101, 32, 1317, 25, 904, 308, 324, 1156, 426, 7642, 9011, 32, 2895, 27, 291, 9011, 32, 965, 280, 2322, 32, 983, 32, 2524, 26, 1439, 81, 965, 30, 330, 28295, 370, 4870, 27, 291, 9011, 32, 983, 280, 2322, 32, 983, 32, 2524, 26, 1439, 81, 6175, 30, 330, 28295, 370, 4870, 27, 284, 477, 17614, 284, 665, 617, 6008, 81, 4184, 26, 6933, 711, 291, 2322, 32, 2546, 26, 6933, 32, 983, 27, 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, 3, 1, 1, 3, 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, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 5, 6, 6, 6, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 9, 9, 9, 8, 8, 9, 9, 7, 7, 5, 6, 7, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 7, 7, 8, 8, 8, 7, 5, 5, 9, 10, 10, 10, 10, 9, 6, 6, 9, 8, 8, 10, 14, 13, 14, 12, 13, 12, 14, 14, 14, 14, 6, 6, 9, 9, 9, 10, 10, 9, 9, 10, 11, 9, 6, 6, 9, 10, 8, 8, 10, 10, 10, 12, 12, 12, 12, 10, 10, 11, 11, 14, 14, 12, 12, 13, 14, 11, 11, 11, 14, 14, 12, 12, 15, 16, 14, 15, 14, 16, 16, 16, 16, 11, 11, 10, 10, 6, 6, 9, 10, 10, 10, 9, 10, 10, 9, 9, 10, 10, 10, 9, 9, 10, 10, 9, 9, 10, 10, 9, 6, 6, 9, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 5, 5, 5, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 9, 10, 9, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 9, 5, 5, 8, 8, 11, 12, 10, 11, 11, 10, 11, 10, 6, 6, 9, 10, 9, 9, 9, 13, 14, 12, 13, 12, 12, 12, 15, 15, 15, 15, 15, 13, 13, 13, 15, 16, 15, 17, 17, 17, 17, 10, 11, 10, 9, 9, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 7, 7, 10, 11, 9, 10, 10, 9, 10, 10, 9, 5, 5, 8, 8, 7, 7, 13, 14, 14, 13, 15, 14, 15, 13, 12, 12, 11, 10, 9, 5, 5, 7, 7, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 10, 10, 9, 10, 11, 9, 5, 5, 8, 9, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 9, 11, 11, 9, 9, 5, 5, 8, 9, 7, 7, 10, 11, 9, 10, 9, 10, 10, 10, 9, 9, 11, 11, 9, 9, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 8, 10, 9, 10, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 2, 9, 9, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 3, 2, 1, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 2, 2, 2, 2, 1, 5, 5, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 3, 2, 1, 5, 5, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 2, 1, 1, 2, 2, 3, 3, 3, 1, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 5, 5, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 5, 5, 2, 2, 2, 7, 7, 7, 7, 2, 2, 2, 9, 9, 9, 9, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 4, 4, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 3, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5980, 32, 500, 2548, 203, 465, 2322, 30, 2322, 32, 983, 203, 1070, 5205, 83, 32, 3625, 83, 81, 14211, 1188, 498, 267, 3625, 83, 14764, 203, 1070, 4395, 1188, 7502, 30, 25864, 3660, 203, 465, 5592, 32, 31983, 32, 31983, 2304, 619, 309, 648, 2304, 203, 3765, 81, 3197, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 35490, 4064, 761, 28154, 203, 589, 273, 270, 81, 3169, 81, 2387, 26, 2387, 30, 1619, 711, 284, 442, 4145, 507, 4178, 34, 5003, 507, 26820, 1643, 26, 31983, 2304, 32, 11731, 26, 13707, 26, 1819, 2610, 203, 589, 3823, 975, 81, 965, 26, 7147, 280, 330, 5020, 81, 1877, 7831, 284, 442, 7520, 203, 106, 3926, 81, 3337, 280, 25864, 3660, 346, 203, 106, 3926, 81, 3337, 32, 2714, 81, 452, 81, 3926, 32, 601, 81, 853, 280, 308, 34, 30, 330, 4411, 22735, 203, 589, 894, 81, 2946, 2262, 284, 322, 81, 2946, 280, 7502, 26, 291, 20297, 81, 965, 1057, 19013, 33, 7632, 81, 314, 33, 1803, 106, 33, 83, 81, 2645, 370, 291, 4562, 81, 1126, 47, 3660, 1026, 291, 622, 81, 1647, 47, 3660, 1026, 291, 2908, 81, 2387, 47, 29575, 81, 3169, 81, 2387, 30, 291, 7084, 81, 11400, 47, 3660, 1026, 291, 1256, 47, 3660, 1026, 291, 803, 2157, 47, 2548, 32, 500, 2548, 32, 2636, 6883, 26, 500, 32, 983, 32, 2524, 26, 3765, 81, 3197, 30, 313, 858, 81, 2536, 12941, 291, 4588, 47, 1815, 30, 291, 816, 3926, 12516, 3337, 950, 816, 3926, 81, 3337, 30, 330, 6309, 81, 4383, 950, 3823, 975, 81, 965, 30, 330, 1536, 81, 535, 103, 2004, 950, 330, 858, 3926, 370, 330, 1684, 1003, 950, 225, 35, 34, 835, 291, 1541, 81, 983, 47, 500, 32, 12757, 32, 371, 440, 9179, 81, 4065, 392, 2430, 3381, 33, 1696, 33, 1356, 33, 1251, 81, 3477, 2113, 291, 23231, 81, 8397, 81, 314, 1057, 8397, 370, 291, 3320, 47, 2521, 30, 291, 883, 81, 4526, 81, 16263, 81, 687, 47, 5962, 44, 3177, 30, 284, 829, 284, 442, 322, 81, 2946, 203, 589, 537, 81, 9512, 3625, 83, 81, 14211, 26, 2593, 30, 2664, 47, 2521, 711, 284, 442, 498, 267, 3625, 83, 14764, 26, 2593, 30, 804, 1057, 35, 370, 9124, 47, 41, 36, 37, 30, 2664, 47, 2946, 556, 894, 81, 2946, 1157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 2, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 3, 4, 3, 4, 4, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 7, 7, 7, 7, 7, 7, 6, 5, 8, 8, 7, 8, 7, 9, 9, 10, 9, 0, 1, 1, 2, 2, 2, 2, 4, 3, 3, 5, 5, 5, 5, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 3, 4, 4, 4, 2, 2, 4, 3, 3, 5, 5, 0, 1, 1, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 7, 9, 9, 6, 6, 8, 8, 7, 9, 9, 6, 6, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 7, 9, 9, 6, 6, 7, 9, 9, 6, 6, 8, 7, 11, 10, 11, 11, 9, 10, 10, 9, 13, 12, 13, 11, 12, 11, 12, 12, 12, 11, 11, 13, 13, 13, 13, 6, 6, 7, 8, 6, 6, 6, 8, 7, 11, 11, 9, 10, 10, 10, 8, 8, 11, 11, 11, 11, 9, 10, 10, 10, 8, 8, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 8, 11, 11, 11, 9, 10, 10, 8, 6, 6, 8, 8, 7, 11, 10, 11, 9, 10, 9, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 6, 6, 8, 8, 8, 8, 7, 9, 9, 6, 6, 7, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 6, 6, 6, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 3, 5, 5, 5, 5, 5, 6, 5, 5, 6, 8, 8, 5, 6, 7, 7, 7, 5, 5, 6, 8, 7, 7, 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 ]
[ 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 3, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 4, 4, 0, 2, 0, 4, 4, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 7, 7, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 10, 10, 1, 1, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 1, 1, 1, 0, 0, 5, 0, 1, 1, 1, 0, 0, 7, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 9, 0, 1, 1, 1, 11, 0, 1, 1, 1, 0, 13, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 15, 2, 1, 1, 1, 0, 17, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 2, 2, 1, 1, 2, 7, 2, 2, 2, 1, 1, 0, 0, 19, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 21, 1, 2, 1, 1, 23, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 25, 2, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 11, 11, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 1, 5, 2, 2, 2, 1, 1, 7, 0, 2, 2, 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 ]