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, 26313, 203, 1070, 18971, 1188, 24014, 203, 465, 273, 38200, 32, 1840, 203, 465, 273, 38200, 32, 46674, 203, 1070, 273, 38200, 32, 19681, 1188, 22337, 1972, 203, 1070, 273, 38200, 32, 716, 5837, 1188, 439, 1752, 41540, 203, 1070, 43008, 32, 5178, 1188, 48418, 203, 1070, 22752, 1188, 319, 203, 465, 5523, 203, 1070, 2676, 32, 8328, 441, 872, 1188, 21901, 441, 872, 619, 21959, 203, 465, 8277, 422, 32, 98, 2314, 619, 298, 2314, 203, 465, 2361, 203, 465, 7138, 203, 81, 17733, 280, 48418, 26, 39, 27, 203, 823, 11026, 1972, 26, 102, 38200, 32, 1840, 32, 29949, 711, 284, 665, 7379, 26, 784, 30, 7176, 47, 2521, 711, 291, 630, 32, 4190, 280, 7176, 284, 665, 2364, 26, 784, 711, 291, 2125, 280, 630, 32, 371, 81, 2669, 440, 1141, 657, 291, 415, 2125, 610, 330, 17050, 950, 324, 296, 272, 280, 630, 32, 371, 81, 2669, 440, 24728, 657, 324, 5169, 81, 3034, 280, 630, 32, 371, 81, 2669, 440, 1500, 3113, 657, 324, 5169, 81, 3034, 280, 2361, 32, 12474, 26, 1500, 81, 3034, 27, 324, 4181, 280, 298, 2314, 32, 3771, 346, 324, 630, 32, 1297, 81, 3626, 81, 2111, 26, 3626, 27, 324, 3691, 280, 4181, 324, 436, 5169, 328, 5169, 81, 3034, 44, 400, 3691, 280, 3691, 32, 669, 81, 34860, 26, 2868, 32, 2190, 922, 2208, 81, 17828, 26, 1500, 490, 324, 38516, 280, 298, 2314, 32, 652, 22490, 346, 324, 4181, 32, 1358, 26, 19996, 30, 4826, 47, 1815, 30, 8446, 47, 2700, 30, 40514, 47, 2700, 27, 324, 540, 280, 5053, 681, 950, 330, 17050, 370, 330, 2076, 950, 330, 10916, 2747, 645, 32635, 4044, 20040, 330, 98, 2314, 950, 596, 26, 19996, 471, 330, 24728, 950, 24728, 111, 324, 26939, 32, 1821, 81, 452, 81, 13606, 26, 100, 27, 203, 823, 26939, 26, 19443, 1972, 711, 284, 12462, 280, 739, 346, 284, 665, 7379, 26, 784, 30, 7176, 47, 2521, 711, 291, 630, 32, 4190, 280, 7176, 284, 665, 2156, 26, 784, 711, 291, 26939, 32, 13606, 32, 669, 26, 784, 27, 284, 665, 544, 81, 2679, 26, 784, 711, 291, 26939, 32, 13606, 32, 2546, 26, 784, 27, 284, 477, 17614, 284, 665, 2866, 81, 452, 81, 13606, 26, 6933, 30, 3124, 711, 291, 436, 2043, 328, 9011, 32, 13606, 44, 324, 2043, 32, 1821, 81, 1436, 26, 2076, 27, 203, 823, 475, 9097, 1437, 26, 102, 38200, 32, 1840, 32, 29949, 711, 284, 665, 7379, 26, 784, 30, 7176, 47, 2521, 711, 291, 630, 32, 4190, 280, 7176, 284, 665, 622, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2125, 280, 630, 32, 371, 81, 2669, 440, 1141, 657, 291, 415, 2125, 610, 313, 371, 81, 2135, 81, 1500, 563, 324, 630, 32, 1821, 26, 784, 32, 4190, 710, 2135, 81, 86, 1837, 81, 1500, 81, 2076, 3490, 203, 823, 12437, 1972, 26, 102, 38200, 32, 1840, 32, 29949, 711, 284, 665, 7379, 26, 784, 30, 7176, 47, 2521, 711, 291, 630, 32, 4190, 280, 7176, 284, 665, 622, 26, 784, 30, 319, 1132 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 4, 3, 4, 4, 2, 2, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 0, 1, 1, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 4, 4, 5, 6, 6, 8, 8, 5, 5, 9, 8, 8, 10, 11, 11, 11, 10, 12, 12, 6, 6, 9, 9, 8, 8, 10, 11, 11, 11, 10, 12, 12, 12, 6, 6, 9, 9, 8, 8, 10, 11, 10, 11, 11, 11, 10, 6, 6, 8, 8, 11, 10, 11, 10, 6, 6, 9, 10, 10, 10, 10, 10, 9, 10, 9, 6, 6, 8, 8, 6, 6, 7, 7, 7, 8, 8, 7, 7, 7, 10, 10, 12, 13, 13, 13, 12, 17, 16, 17, 16, 15, 15, 15, 14, 15, 14, 6, 6, 8, 8, 11, 10, 11, 11, 10, 6, 6, 9, 10, 9, 10, 9, 9, 10, 11, 9, 9, 10, 11, 9, 9, 10, 11, 9, 6, 6, 8, 8, 12, 12, 10, 12, 12, 9, 12, 12, 10, 12, 12, 12, 12, 12, 12, 9, 12, 12, 12, 10, 12, 13, 12, 9, 12, 12, 11, 9, 6, 6, 9, 10, 10, 10, 10, 10, 9, 10, 9, 0, 1, 1, 2, 3, 3, 2, 1, 1, 4, 4, 6, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 2, 2, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 6, 6, 7, 8, 6, 6, 6, 10, 11, 11, 11, 10, 11, 10, 0, 1, 1, 2, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 10, 10, 4, 4, 5, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 9, 10, 9, 12, 11, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 0, 1, 1, 2, 2, 5, 5, 4, 5, 3, 4, 2, 1, 1, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 1, 2, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 5, 5, 0, 1, 2, 2, 5, 5, 0, 0, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 0, 9, 9, 1, 2, 2, 2, 9, 9, 0, 0, 3, 3, 0, 10, 10, 0, 0, 2, 2, 1, 1, 2, 0, 11, 11, 0, 12, 12, 0, 0, 0, 0, 0, 1, 1, 1, 0, 14, 14, 1, 2, 0, 0, 0, 2, 1, 2, 2, 14, 14, 0, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 3, 3, 6, 6, 6, 3, 3, 6, 6, 6, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 3, 3, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 5, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 15, 15, 2, 1, 1, 2, 15, 15, 0, 0, 1, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 2, 0, 0, 4, 4, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 2, 0, 2, 1, 1, 1, 4, 4, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 16, 16, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 16, 16, 0, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 17, 17, 1, 2, 0, 0, 0, 2, 1, 2, 2, 17, 17, 0, 2, 1, 2, 2, 3, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 1 ]
[ 1070, 3619, 28947, 32, 1859, 81, 10419, 1188, 622, 81, 10419, 203, 1070, 3619, 28947, 32, 1274, 1188, 10572, 2963, 203, 1070, 3619, 28947, 32, 4266, 32, 858, 81, 1732, 81, 2304, 1188, 4354, 56, 1204, 7233, 30, 622, 81, 2055, 81, 1495, 203, 823, 10572, 2963, 4470, 26, 4997, 56, 1204, 7233, 711, 284, 665, 894, 81, 33872, 81, 8319, 26, 784, 711, 291, 16686, 280, 622, 81, 10419, 346, 291, 8748, 81, 2474, 280, 16686, 32, 23505, 32, 6330, 2963, 32, 7420, 81, 2474, 291, 4906, 280, 10572, 2963, 32, 890, 81, 2386, 346, 291, 546, 7118, 81, 34478, 13703, 81, 24845, 280, 622, 81, 2055, 81, 1495, 26, 4164, 1114, 92, 81, 4164, 30, 313, 9394, 81, 34478, 13703, 81, 24845, 657, 291, 546, 7118, 81, 35629, 758, 81, 24845, 280, 622, 81, 2055, 81, 1495, 26, 4164, 1114, 92, 81, 4164, 30, 313, 9394, 81, 35629, 758, 81, 24845, 657, 291, 551, 11238, 81, 34478, 13703, 81, 24845, 280, 622, 81, 2055, 81, 1495, 26, 4164, 1114, 92, 81, 4164, 30, 313, 5153, 18418, 81, 34478, 13703, 81, 24845, 657, 291, 551, 11238, 81, 35629, 758, 81, 24845, 280, 622, 81, 2055, 81, 1495, 26, 4164, 1114, 92, 81, 4164, 30, 313, 5153, 18418, 81, 35629, 758, 81, 24845, 657, 291, 4533, 100, 285, 469, 81, 3550, 280, 4906, 32, 1832, 346, 291, 630, 32, 5299, 26, 324, 4533, 100, 285, 469, 81, 3550, 1114, 92, 81, 9236, 81, 3550, 32, 452, 38877, 3289, 8532, 7420, 81, 2474, 614, 324, 551, 11238, 81, 34478, 13703, 81, 24845, 27, 291, 630, 32, 5299, 26, 324, 4533, 100, 285, 469, 81, 3550, 1114, 92, 81, 9236, 81, 3550, 32, 452, 7584, 3289, 8532, 7420, 81, 2474, 614, 324, 551, 11238, 81, 35629, 758, 81, 24845, 27, 291, 4533, 100, 285, 469, 81, 3550, 280, 4906, 32, 539, 81, 1455, 81, 33872, 922, 1832, 346, 291, 630, 32, 5299, 26, 324, 4533, 100, 285, 469, 81, 3550, 1114, 92, 81, 9236, 81, 3550, 32, 452, 38877, 3289, 8532, 7420, 81, 2474, 614, 324, 546, 7118, 81, 34478, 13703, 81, 24845, 27, 291, 630, 32, 5299, 26, 324, 4533, 100, 285, 469, 81, 3550, 1114, 92, 81, 9236, 81, 3550, 32, 452, 7584, 3289, 8532, 7420, 81, 2474, 614, 324, 546, 7118, 81, 35629, 758, 81, 24845, 27, 291, 4533, 100, 285, 469, 81, 3550, 280, 4906, 32, 539, 81, 25919, 81, 33872, 922, 1832, 346, 291, 630, 32, 5299, 26, 324, 4533, 100, 285, 469, 81, 3550, 1114, 92, 81, 9236, 81, 3550, 32, 452, 38877, 3289, 8532, 7420, 81, 2474, 614, 324, 551, 11238, 81, 34478, 13703, 81, 24845, 27, 291, 630, 32, 5299, 26, 324, 4533, 100, 285, 469, 81, 3550, 1114, 92, 81, 9236, 81, 3550, 32, 452, 7584, 3289, 8532, 7420, 81, 2474, 614, 324, 551, 11238, 81, 35629, 758, 81, 24845, 27, 291, 4533, 100, 285, 469, 81, 3550, 280, 4906, 32, 539, 81, 1813, 81, 33872, 922, 1832, 346, 291, 630, 32, 6549, 26, 324, 8748, 81, 2474, 646, 328, 4533, 100, 285, 469, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 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, 8, 8, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 9, 7, 8, 8, 8, 4, 4, 6, 6, 9, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 8, 8, 8, 8, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 4, 4, 7, 8, 7, 7, 7, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 10, 11, 11, 11, 10, 9, 9, 9, 8, 7, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 7, 7, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 10, 11, 11, 11, 10, 9, 9, 9, 8, 7, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 10, 11, 11, 11, 11, 11, 10, 9, 8, 4, 4, 7, 8, 7, 7, 7, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 10, 11, 11, 11, 10, 9, 9, 9, 8, 7, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 7, 7, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 10, 11, 11, 11, 10, 9, 9, 9, 8, 7, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 10, 11, 11, 11, 11, 11, 10, 9, 8, 4, 4, 7, 8, 7, 7, 7, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 10, 11, 11, 11, 10, 9, 9, 9, 8, 7, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 7, 7, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 10, 11, 11, 11, 10, 9, 9, 9, 8, 7, 7, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 7, 7, 7, 7, 6, 6, 10, 11, 11, 11, 11, 11, 10, 9, 8, 4, 4, 7, 8, 7, 7, 7, 9, 9, 8, 8, 8, 12, 12, 12, 12 ]
[ 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 4, 4, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0 ]
[ 465, 25943, 81, 2682, 81, 10969, 203, 465, 25943, 81, 928, 81, 10969, 203, 465, 25943, 81, 2682, 81, 10969, 81, 22545, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 15798, 203, 465, 13092, 203, 1070, 35674, 32, 35296, 32, 2282, 32, 1170, 1188, 4517, 203, 823, 9438, 318, 41356, 4470, 26, 18986, 32, 7233, 711, 284, 477, 12408, 32, 1826, 32, 3617, 81, 11226, 284, 665, 894, 6469, 14686, 1386, 2275, 1419, 1045, 1308, 26, 784, 711, 291, 630, 1114, 944, 1969, 440, 4259, 1969, 657, 291, 1994, 280, 630, 32, 5350, 32, 1809, 81, 2543, 26, 1170, 47, 1083, 32, 779, 30, 786, 347, 6555, 31, 2544, 657, 291, 3208, 16730, 280, 1994, 32, 853, 81, 1028, 81, 2079, 81, 2433, 440, 4155, 31, 1489, 657, 291, 630, 32, 5299, 440, 13885, 26, 34, 30, 225, 35, 36, 42, 30, 225, 34, 30, 225, 35, 5715, 3208, 16730, 27, 291, 1994, 280, 630, 32, 5350, 32, 1809, 81, 2543, 26, 1170, 47, 1083, 32, 779, 30, 786, 347, 1092, 31, 1094, 657, 291, 3208, 16730, 280, 1994, 32, 853, 81, 1028, 81, 2079, 81, 2433, 440, 4155, 31, 1489, 657, 291, 630, 32, 5299, 440, 13885, 26, 36, 39, 39, 30, 225, 34, 30, 225, 34, 30, 225, 35, 5715, 3208, 16730, 27, 284, 477, 12408, 32, 1826, 32, 3617, 81, 11226, 284, 665, 894, 6469, 6668, 34944, 7957, 26000, 10562, 26, 784, 711, 291, 630, 1114, 944, 1969, 440, 4259, 1969, 657, 291, 1994, 280, 630, 32, 5350, 32, 1809, 81, 2543, 26, 1170, 47, 1083, 32, 779, 30, 786, 347, 6555, 31, 1094, 657, 291, 3208, 16730, 280, 1994, 32, 853, 81, 1028, 81, 2079, 81, 2433, 440, 4155, 31, 1489, 657, 291, 630, 32, 5299, 440, 17343, 392, 3208, 16730, 27, 284, 665, 894, 6469, 14879, 631, 9594, 1147, 4974, 1045, 1308, 3993, 2611, 26, 784, 711, 291, 630, 1114, 944, 1969, 440, 17193, 1006, 657, 291, 27549, 97, 280, 225, 630, 32, 5350, 32, 1809, 81, 2543, 26, 1170, 47, 1083, 32, 779, 30, 786, 347, 1204, 606, 657, 291, 1334, 280, 27549, 97, 32, 891, 291, 630, 32, 6549, 26, 891, 1365, 1644, 1446, 848, 225, 34, 30, 313, 2611, 2799, 372, 526, 10761, 2784, 225, 34, 657, 291, 630, 32, 6549, 26, 891, 1365, 2273, 1446, 848, 225, 34, 30, 313, 3024, 2799, 372, 526, 10761, 2784, 225, 34, 657, 284, 665, 617, 1637, 2413, 26, 784, 30, 636, 711, 291, 442, 313, 525, 555, 5007, 6069, 86, 9708, 101, 32, 916, 20, 904, 308, 784, 32, 45331, 32, 625, 30, 636, 27, 284, 665, 617, 944, 5291, 1969, 26, 784, 711, 291, 630, 1114, 944, 1969, 440, 6656, 1006, 657, 284, 665, 617, 944, 1969, 26, 784, 30, 636, 711, 291, 630, 32, 5350, 32, 371, 26, 784, 1114, 1637, 2413, 26, 426, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 7, 6, 7, 5, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 8, 10, 10, 10, 5, 5, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 10, 12, 11, 12, 9, 9, 10, 12, 12, 12, 12, 5, 5, 8, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 8, 5, 5, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 10, 12, 11, 12, 9, 9, 10, 12, 12, 12, 12, 5, 5, 8, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 8, 2, 2, 7, 6, 7, 5, 6, 6, 6, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 8, 10, 10, 10, 5, 5, 7, 7, 10, 11, 9, 10, 10, 10, 9, 11, 10, 12, 11, 12, 9, 9, 10, 12, 12, 12, 12, 5, 5, 8, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 5, 5, 8, 9, 8, 10, 10, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 9, 9, 9, 4, 4, 7, 6, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 9, 11, 10, 11, 8, 8, 9, 11, 11, 11, 4, 4, 6, 6, 8, 7, 8, 4, 4, 7, 8, 7, 10, 9, 11, 11, 8, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 10, 9, 11, 11, 8, 8, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 10, 9, 10, 8, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 7, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 10, 9, 10, 10, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 2, 1, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 3, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 1, 1, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1593, 21630, 974, 1188, 319, 203, 465, 5237, 30, 1933, 203, 589, 1390, 7832, 20792, 26, 20792, 35, 30, 1593, 21630, 36, 711, 284, 21878, 20792, 280, 1593, 21630, 346, 284, 415, 308, 1593, 21630, 35, 32, 2567, 1028, 39019, 610, 1593, 21630, 36, 32, 2567, 1028, 39019, 8063, 291, 21878, 20792, 32, 2567, 1028, 39019, 280, 1593, 21630, 35, 32, 2567, 1028, 39019, 284, 813, 44, 291, 1459, 313, 924, 44, 43044, 16495, 44, 904, 86, 27898, 328, 1593, 21630, 35, 461, 904, 86, 328, 1593, 21630, 36, 3107, 904, 308, 20792, 35, 32, 2567, 1028, 39019, 30, 1593, 21630, 36, 32, 2567, 1028, 39019, 27, 291, 21878, 20792, 280, 1593, 21630, 346, 291, 442, 21878, 20792, 284, 436, 595, 328, 2155, 26, 34, 30, 21878, 20792, 32, 2567, 1028, 39019, 711, 291, 3691, 7869, 280, 11976, 346, 291, 415, 308, 20792, 35, 32, 39019, 77, 91, 997, 6084, 610, 1593, 21630, 36, 32, 39019, 77, 91, 997, 6084, 711, 324, 3691, 7869, 32, 6084, 280, 1593, 21630, 35, 32, 39019, 77, 91, 997, 6084, 324, 3691, 7869, 32, 5626, 280, 1593, 21630, 36, 32, 39019, 77, 91, 997, 5626, 429, 1593, 21630, 35, 32, 39019, 77, 91, 997, 5626, 324, 21878, 20792, 32, 39019, 32, 1689, 26, 2868, 7869, 27, 291, 813, 44, 324, 1459, 313, 924, 44, 43044, 11976, 489, 32, 65, 32, 904, 86, 44, 904, 101, 328, 1593, 21630, 35, 461, 904, 101, 328, 1593, 21630, 36, 313, 904, 308, 91, 29, 35, 30, 1593, 21630, 35, 32, 39019, 77, 91, 997, 6084, 30, 1593, 21630, 36, 32, 39019, 77, 91, 997, 6084, 27, 324, 21878, 20792, 280, 1593, 21630, 346, 324, 442, 21878, 20792, 284, 442, 21878, 20792, 203, 325, 308, 1657, 26, 3731, 32, 6118, 27, 863, 225, 37, 8063, 284, 1459, 313, 6772, 44, 904, 101, 428, 4332, 32, 11469, 79, 225, 428, 3220, 32, 11469, 12032, 904, 308, 3731, 32, 6118, 77, 34, 1130, 284, 4323, 26, 34, 27, 203, 4332, 280, 1593, 21630, 346, 203, 4332, 32, 2230, 20792, 26, 3731, 32, 6118, 77, 35, 1130, 203, 3220, 280, 1593, 21630, 346, 203, 3220, 32, 2230, 20792, 26, 3731, 32, 6118, 77, 36, 1130, 203, 7832, 20792, 280, 1390, 7832, 20792, 26, 4332, 30, 1158, 27, 203, 2101, 280, 1933, 32, 34003, 26, 7832, 20792, 27, 203, 1036, 3137, 280, 225, 34, 203, 979, 595, 328, 2155, 26, 34, 30, 10748, 32, 2567, 1028, 39019, 711, 284, 436, 594, 328, 2155, 26, 34, 30, 225, 37, 711, 291, 3632, 3137, 1454, 10748, 32, 39019, 77, 91, 997, 5626, 77, 92, 6603, 2101, 32, 39019, 77, 91, 997, 5626, 77, 92, 79, 203, 1036, 3137, 280, 7744, 32, 8663, 26, 1036, 3137, 27, 203, 979, 595, 328, 2155, 26, 34, 30, 10748, 32, 2567, 1028, 39019, 711, 284, 436, 594, 328, 2155, 26, 34, 30, 225, 37, 711, 291, 10748, 32, 39019, 77, 91, 997, 5626, 77, 92, 79, 14374, 3632, 3137, 203, 2101, 32, 2538, 2101, 440, 16221, 527, 81, 19459, 657, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 2, 2, 3, 4, 7, 7, 6, 7, 7, 7, 5, 5, 7, 7, 6, 7, 7, 7, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 8, 8, 7, 8, 8, 8, 3, 3, 4, 4, 4, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 9, 10, 10, 10, 8, 5, 5, 8, 7, 7, 9, 9, 5, 5, 6, 7, 2, 2, 3, 3, 3, 5, 6, 5, 5, 7, 6, 7, 7, 7, 5, 3, 3, 7, 6, 6, 8, 4, 4, 5, 11, 11, 10, 11, 9, 10, 9, 9, 7, 7, 11, 11, 10, 11, 9, 10, 9, 9, 6, 5, 5, 10, 9, 10, 8, 8, 12, 12, 11, 12, 10, 11, 10, 10, 6, 6, 10, 9, 10, 8, 8, 13, 13, 12, 13, 11, 12, 11, 11, 9, 9, 13, 13, 12, 13, 11, 12, 11, 11, 6, 6, 11, 10, 11, 9, 10, 9, 10, 10, 9, 5, 5, 6, 6, 6, 8, 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, 12, 11, 12, 10, 10, 14, 14, 13, 14, 12, 13, 12, 12, 10, 10, 14, 14, 13, 14, 12, 13, 12, 12, 10, 7, 7, 10, 9, 9, 11, 11, 7, 7, 8, 9, 2, 2, 3, 4, 0, 1, 1, 5, 5, 7, 6, 7, 5, 3, 3, 4, 2, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 8, 7, 8, 6, 7, 6, 2, 2, 5, 6, 5, 0, 3, 2, 2, 4, 4, 0, 4, 3, 4, 4, 3, 6, 5, 6, 4, 5, 4, 0, 3, 2, 2, 4, 4, 0, 4, 3, 4, 4, 3, 6, 5, 6, 4, 5, 4, 0, 3, 3, 2, 2, 4, 4, 4, 5, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 5, 5, 4, 0, 3, 3, 2, 2, 3, 0, 1, 1, 1, 1, 3, 4, 3, 3, 4, 5, 5, 5, 3, 1, 1, 3, 3, 3, 5, 6, 5, 5, 6, 5, 3, 3, 7, 6, 6, 11, 12, 10, 11, 10, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 10, 8, 9, 8, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 4, 0, 1, 1, 1, 1, 3, 4, 3, 3, 4, 5, 5, 5, 3, 1, 1, 3, 3, 3, 5, 6, 5, 5, 6, 5, 3, 3, 10, 11, 9, 10, 9, 9, 7, 8, 7, 6, 6, 7, 0, 4, 3, 4, 4, 3, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 0, 1, 4, 4, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 4, 4, 4, 0, 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, 2, 2, 2, 0, 0, 3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 5, 5, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 3, 3, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 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, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 3, 1, 0, 3, 3, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 11, 11, 11, 11, 1, 1, 1, 1, 3, 2, 2, 2, 1, 11, 11, 0, 0, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 13, 13, 13, 13, 1, 1, 1, 1, 3, 2, 2, 2, 1, 13, 13, 0, 0, 0, 1, 1, 1, 1, 3, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 1933, 203, 1070, 2156, 3034, 32, 3209, 1188, 13489, 203, 1070, 2156, 3034, 32, 4882, 32, 2243, 1188, 1695, 203, 823, 2108, 67, 500, 4248, 26, 1439, 32, 7233, 711, 284, 7231, 81, 426, 280, 330, 28851, 894, 7231, 25, 284, 7231, 81, 314, 280, 330, 42, 42, 35, 86, 35, 2882, 41, 31, 83, 40, 40, 37, 31, 38, 38, 85, 34, 31, 42, 88, 43, 88, 31, 1291, 36, 41, 40, 39, 84, 41, 38, 38, 42, 40, 25, 284, 2074, 81, 314, 280, 330, 85, 42, 42, 3499, 42, 43, 88, 31, 39, 35, 36, 35, 31, 38, 83, 38, 85, 31, 42, 41, 2995, 31, 38, 43, 40, 84, 39, 1549, 42, 40, 38, 87, 43, 25, 284, 4395, 81, 6038, 280, 301, 291, 330, 314, 950, 7231, 81, 314, 30, 291, 330, 426, 950, 7231, 81, 426, 30, 291, 330, 2310, 950, 2550, 291, 330, 7004, 950, 5518, 291, 330, 2250, 81, 314, 950, 2074, 81, 314, 30, 291, 330, 15213, 81, 314, 950, 2074, 81, 314, 30, 291, 330, 4190, 950, 3177, 30, 291, 330, 297, 81, 1536, 950, 3177, 284, 320, 284, 2678, 500, 81, 6728, 280, 301, 291, 313, 6368, 563, 313, 36, 34, 35, 39, 31, 34, 40, 31, 34, 42, 70, 35, 34, 44, 34, 34, 44, 34, 34, 31, 34, 34, 44, 34, 34, 392, 291, 313, 426, 563, 313, 15569, 432, 4851, 392, 291, 313, 7676, 563, 5518, 291, 313, 7909, 563, 313, 28851, 392, 291, 313, 2310, 563, 313, 1318, 30472, 432, 4851, 5016, 3107, 284, 320, 284, 2678, 500, 81, 1536, 81, 6728, 280, 301, 291, 313, 6368, 563, 313, 36, 34, 35, 41, 31, 34, 38, 35, 31, 34, 40, 70, 35, 34, 44, 34, 34, 44, 34, 34, 31, 34, 34, 44, 34, 34, 392, 291, 313, 426, 563, 313, 28700, 69, 1244, 7231, 392, 291, 313, 7676, 563, 5518, 291, 313, 7909, 563, 313, 28851, 31, 1536, 392, 291, 313, 2310, 563, 313, 31987, 322, 1910, 45417, 1244, 7231, 1292, 2074, 20, 284, 320, 284, 5887, 81, 941, 33367, 81, 9081, 280, 428, 28851, 81, 6728, 30, 2678, 500, 81, 1536, 81, 6728, 79, 284, 665, 894, 81, 371, 81, 28851, 81, 6038, 26, 784, 711, 291, 630, 32, 3317, 81, 26780, 2009, 324, 5436, 26, 1959, 1057, 2788, 370, 353, 8210, 47, 784, 32, 371, 81, 3613, 81, 965, 26, 3486, 330, 4573, 370, 330, 923, 370, 5489, 11414, 104, 36, 32, 34, 370, 330, 9081, 32, 1260, 16578, 353, 2361, 12516, 9081, 950, 630, 32, 6565, 81, 941, 33367, 81, 9081, 13431, 324, 5436, 26, 1959, 1057, 2788, 370, 353, 8210, 47, 784, 32, 371, 81, 3613, 81, 965, 26, 3486, 330, 4573, 370, 330, 923, 370, 3486, 5489, 11414, 104, 36, 32, 34, 370, 330, 28851, 370, 330, 16669, 32, 1260, 16578, 353, 2361, 12516, 16669, 950, 428, 784, 32, 3613, 81, 6038, 33993, 291, 8834, 291, 540, 280, 630, 32, 3209, 32, 371, 81, 28851, 81, 6038, 26, 784, 32, 6038, 81, 426, 27, 291, 630, 32, 25839, 1337, 2521 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 5, 5, 8, 8, 6, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 5, 5, 5, 8, 8, 8, 8, 6, 5, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 6, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 5, 5, 8, 8, 6, 8, 8, 8, 8, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 8, 8, 10, 12, 11, 13, 13, 10, 10, 11, 14, 13, 14, 14, 14, 14, 14, 13, 13, 13, 15, 15, 13, 15, 15, 13, 14, 17, 17, 17, 17, 17, 15, 17, 17, 17, 17, 10, 10, 11, 15, 15, 13, 14, 15, 15, 15, 15, 15, 15, 12, 8, 8, 10, 12, 11, 13, 13, 10, 10, 11, 14, 13, 14, 14, 14, 14, 14, 13, 13, 13, 15, 15, 13, 15, 15, 13, 13, 14, 17, 17, 17, 17, 17, 15, 17, 17, 15, 17, 17, 17, 17, 10, 10, 11, 15, 15, 13, 16, 15, 16, 16, 16, 14, 8, 8, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 1, 1, 2, 0, 1, 2, 2, 3, 3, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 7, 2, 2, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 1, 1, 1, 2, 11, 2, 2, 2, 2, 2, 1, 2, 13, 2, 2, 2, 1, 1, 1, 2, 15, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 7, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 1, 2, 7, 1, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 4, 4, 7, 1, 1, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2 ]
[ 465, 2322, 203, 1070, 7138, 1188, 7138, 203, 1070, 638, 8524, 1188, 23682, 673, 930, 203, 1070, 638, 21326, 1188, 11078, 6857, 81, 1070, 81, 2665, 203, 1070, 638, 3378, 1188, 4448, 30, 37010, 1104, 203, 1070, 638, 12329, 1188, 1244, 81, 12329, 30, 7520, 81, 7133, 203, 1070, 638, 2304, 1188, 645, 81, 678, 81, 695, 81, 668, 30, 1244, 81, 5078, 203, 1070, 638, 11452, 1188, 37327, 7434, 11445, 101, 30, 8073, 3694, 203, 1070, 638, 8524, 1188, 1984, 2208, 30, 1984, 2524, 203, 1070, 638, 27342, 1188, 4808, 4420, 203, 1070, 638, 2304, 1188, 316, 7345, 81, 3423, 30, 622, 81, 12757, 81, 46466, 30, 622, 81, 941, 38951, 81, 2393, 203, 1070, 638, 1517, 81, 7787, 1188, 12668, 203, 613, 9674, 81, 4249, 59, 280, 308, 284, 12668, 32, 5595, 30, 3701, 12668, 32, 6264, 30, 3701, 12668, 32, 2455, 30, 3701, 12668, 32, 29820, 81, 5595, 30, 225, 203, 27, 203, 5807, 81, 613, 9674, 81, 13681, 280, 225, 37, 34, 203, 589, 3991, 81, 5321, 26, 1696, 81, 4124, 626, 30, 1244, 81, 4124, 626, 711, 284, 415, 1244, 81, 4124, 626, 438, 1665, 44, 291, 442, 2196, 81, 4124, 626, 284, 415, 6937, 26, 1696, 81, 4124, 626, 30, 596, 711, 291, 442, 2196, 81, 4124, 626, 284, 415, 2196, 81, 4124, 626, 438, 1665, 44, 291, 442, 1244, 81, 4124, 626, 284, 415, 646, 19326, 26, 1536, 81, 4124, 626, 30, 330, 3028, 7831, 291, 442, 2196, 81, 4124, 626, 284, 1244, 81, 4124, 626, 280, 645, 81, 678, 81, 695, 81, 668, 26, 1536, 81, 4124, 626, 27, 284, 2196, 81, 4124, 626, 280, 645, 81, 678, 81, 695, 81, 668, 26, 1696, 81, 4124, 626, 27, 284, 665, 622, 81, 7318, 81, 678, 26, 7318, 81, 3494, 30, 537, 81, 678, 711, 291, 436, 4707, 81, 678, 328, 4707, 81, 3494, 44, 324, 415, 1202, 32, 5729, 346, 610, 4707, 81, 678, 32, 5729, 2262, 400, 442, 4707, 81, 678, 291, 442, 537, 81, 678, 284, 10306, 280, 1244, 81, 4124, 626, 32, 2991, 346, 284, 4707, 81, 3494, 280, 10306, 32, 3494, 346, 284, 436, 1202, 30, 786, 328, 2196, 81, 4124, 626, 32, 3028, 2262, 291, 10306, 77, 371, 81, 7318, 81, 678, 26, 7318, 81, 3494, 30, 1202, 2177, 280, 786, 284, 436, 308, 93, 30, 354, 27, 328, 2196, 81, 4124, 626, 32, 3028, 2262, 291, 415, 354, 438, 1665, 44, 324, 3555, 10306, 77, 93, 79, 284, 442, 10306, 203, 823, 6548, 11445, 13976, 26, 1473, 711, 284, 665, 5889, 81, 45116, 26, 784, 30, 5127, 30, 3616, 30, 3443, 47, 2700, 30, 5868, 47, 2521, 30, 3775, 6144, 47, 1815, 30, 6445, 47, 2521, 30, 44028, 47, 2521, 711, 291, 595, 280, 225, 34, 291, 20270, 81, 1357, 280, 37010, 1104, 346, 291, 20270, 81, 1357, 32, 1548, 280, 3616, 32, 1548, 291, 20270, 81, 1357, 32, 5078, 280, 3616, 32, 5078, 32, 2991, 346, 291, 20270, 81, 1357, 32, 12329, 280, 3616, 32, 12329, 291, 20270, 81, 1357, 32, 1959, 280, 3616, 32, 1959, 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, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 5, 3, 3, 3, 4, 5, 3, 3, 3, 4, 5, 3, 3, 3, 4, 5, 5, 5, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 6, 2, 2, 3, 5, 6, 6, 6, 6, 5, 5, 5, 3, 3, 5, 6, 6, 6, 2, 2, 3, 5, 5, 5, 4, 4, 3, 3, 3, 5, 6, 6, 6, 2, 2, 3, 4, 6, 7, 7, 7, 7, 6, 6, 8, 8, 3, 3, 5, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 7, 10, 11, 10, 8, 8, 11, 11, 10, 11, 10, 7, 7, 9, 10, 10, 4, 4, 5, 6, 6, 2, 2, 4, 4, 7, 7, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 6, 6, 6, 5, 6, 5, 3, 3, 7, 9, 9, 9, 9, 9, 9, 10, 10, 10, 9, 9, 9, 6, 6, 2, 2, 3, 5, 4, 4, 4, 3, 3, 6, 6, 6, 5, 6, 5, 3, 3, 5, 6, 6, 5, 5, 5, 7, 8, 9, 8, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 6, 6, 7, 4, 4, 7, 7, 6, 6, 8, 8, 4, 4, 8, 8, 7, 8, 6, 6, 7, 8, 4, 4, 8, 8, 7, 8, 6, 6, 9, 10, 8, 9, 8, 4, 4, 8, 8, 7, 8, 6, 6, 7, 8, 4, 4, 8, 8, 7, 8, 6, 6, 7, 8, 4 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0, 9, 9, 0, 9, 9, 0, 0, 10, 10, 0, 10, 10, 0, 0, 0, 10, 10, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 14, 14, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 14, 14, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 4, 4, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 6, 6, 0, 1, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 9, 1, 1, 9, 9, 0, 0, 0, 0, 2, 1, 9, 9, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 10, 1, 1, 1, 1, 10, 10, 0, 0, 0, 0, 2, 1, 10, 10, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 4, 4, 11, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 2, 11, 2, 2, 2, 13, 2, 2, 2, 15, 2, 2, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 0, 2, 2, 4 ]
[ 465, 5237, 203, 1070, 804, 94, 81, 751, 1188, 7178, 1512, 30, 12437, 1512, 30, 624, 2842, 1512, 203, 1070, 804, 94, 81, 1762, 1188, 1390, 2828, 30, 3659, 30, 8661, 2031, 203, 1070, 804, 94, 81, 3922, 1188, 8661, 3839, 203, 4815, 720, 280, 1605, 203, 2828, 463, 541, 370, 330, 720, 432, 1688, 2276, 370, 1244, 32601, 203, 2828, 463, 3779, 370, 330, 23822, 3621, 372, 4450, 6418, 1244, 32601, 203, 2828, 463, 3585, 370, 330, 23822, 18673, 328, 322, 2234, 432, 14369, 30, 3459, 6418, 1244, 1057, 1366, 30, 416, 683, 203, 823, 15386, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 636, 30, 309, 426, 30, 5585, 711, 284, 630, 32, 426, 280, 636, 284, 630, 32, 1945, 81, 4640, 280, 3659, 26, 101, 426, 30, 5585, 27, 284, 630, 32, 2215, 81, 4640, 280, 3659, 26, 101, 426, 474, 7610, 2215, 370, 330, 2031, 436, 904, 101, 4564, 904, 309, 426, 30, 6035, 1244, 32601, 284, 15386, 720, 32, 1689, 26, 784, 27, 284, 630, 32, 4275, 280, 225, 34, 284, 630, 32, 5961, 81, 668, 280, 1605, 334, 665, 3081, 26, 784, 30, 3124, 711, 284, 7178, 1512, 32, 1335, 463, 924, 904, 101, 499, 904, 101, 25, 904, 308, 784, 32, 426, 30, 3124, 490, 284, 630, 32, 4275, 1454, 225, 35, 334, 665, 1390, 2529, 2031, 26, 784, 711, 284, 2075, 280, 2149, 284, 2470, 81, 668, 280, 630, 32, 2215, 81, 4640, 32, 936, 346, 284, 415, 2470, 81, 668, 44, 397, 2470, 81, 668, 280, 2470, 81, 668, 32, 2998, 35052, 397, 436, 2919, 328, 2470, 81, 668, 44, 291, 2126, 101, 280, 2919, 32, 1809, 463, 47169, 291, 415, 2126, 101, 848, 225, 34, 44, 616, 2075, 77, 2215, 2867, 29067, 3212, 280, 2919, 77, 29067, 29, 35, 10056, 291, 813, 44, 616, 2075, 77, 2215, 79, 280, 2933, 397, 442, 2075, 284, 415, 630, 32, 1945, 81, 4640, 32, 936, 2262, 397, 442, 2075, 284, 442, 1665, 334, 665, 10945, 26, 784, 30, 10020, 30, 2075, 711, 284, 630, 32, 4275, 280, 225, 34, 284, 2155, 466, 280, 1390, 2828, 463, 3585, 683, 284, 3621, 466, 280, 1390, 2828, 463, 3779, 683, 284, 1459, 313, 3595, 18457, 44, 904, 101, 20, 904, 10020, 32, 10722, 284, 436, 8626, 272, 402, 328, 10020, 32, 936, 23812, 463, 974, 7831, 397, 415, 8626, 272, 402, 32, 36961, 463, 44842, 683, 848, 225, 34, 44, 291, 630, 32, 5961, 81, 668, 32, 1689, 26, 5039, 272, 402, 27, 291, 4036, 284, 415, 646, 3621, 466, 461, 2155, 466, 44, 397, 2155, 81, 668, 280, 2155, 466, 32, 2998, 35052, 397, 415, 2069, 26, 3585, 81, 668, 27, 863, 225, 36, 44, 291, 630, 32, 924, 463, 5288, 372, 4450, 436, 904, 101, 30, 12479, 2155, 44, 5461, 101, 14891, 904, 4511, 308, 784, 32, 426, 30, 2155, 466, 490, 397, 813, 44, 291, 354, 887, 280, 2155, 81, 668, 77, 34, 79, 291, 48481, 280, 2155, 81, 668, 77, 35, 79, 291, 415, 354, 887, 610, 330, 1366, 950, 324, 354 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 3, 3, 2, 2, 0, 3, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 4, 0, 3, 3, 5, 5, 3, 5, 5, 5, 5, 5, 3, 4, 0, 3, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 10, 10, 9, 9, 11, 11, 8, 11, 11, 11, 11, 11, 9, 9, 10, 8, 8, 8, 9, 4, 4, 8, 7, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 11, 10, 11, 9, 9, 9, 4, 4, 7, 8, 6, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 4, 4, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 11, 11, 10, 11, 10, 6, 6, 7, 7, 7, 8, 8, 7, 7, 7, 11, 10, 10, 12, 13, 12, 14, 8, 8, 9, 11, 10, 10, 11, 9, 9, 9, 13, 15, 14, 16, 14, 12, 12, 13, 16, 15, 16, 14, 9, 9, 10, 10, 10, 14, 15, 14, 13, 13, 6, 6, 7, 4, 4, 5, 8, 9, 9, 9, 7, 8, 7, 5, 5, 7, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 4, 4, 7, 6, 6, 8, 8, 10, 10, 4, 4, 7, 6, 6, 8, 8, 10, 10, 4, 4, 5, 8, 8, 8, 8, 8, 8, 6, 6, 7, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 8, 7, 9, 9, 5, 5, 7, 11, 11, 10, 11, 10, 12, 12, 8, 8, 9, 7, 7, 7, 12, 13, 13, 13, 11, 12, 11, 12, 12, 12, 11, 8, 8, 4, 4, 5, 7, 8, 6, 6, 7, 5, 5, 5, 9, 9, 8, 8, 11, 10, 11, 10, 6, 6, 7, 10, 11, 11, 11, 10, 8, 8, 9, 7, 7, 7, 11, 12, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 12, 15, 14, 15, 13, 13, 14, 13, 7, 7, 8, 8, 8, 12, 11, 11, 13, 13, 12, 13, 12, 9, 9, 11, 11, 13, 13, 12, 13, 12, 9, 9, 10, 12, 11, 11, 13, 13, 10, 10 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 5, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 5, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 2, 0, 8, 8, 2, 1, 2, 8, 8, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 5, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 5, 5, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 4, 4, 4, 0, 2, 0, 0, 0, 3, 3, 2, 4, 4, 3, 0, 2, 2, 2, 0, 2, 1, 3, 3, 0, 4, 4, 4, 4, 4, 3, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 0, 0, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 1, 1, 4, 4, 0, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 0, 1, 1, 1, 2, 5, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2 ]
[ 465, 316, 203, 465, 281, 652, 2338, 203, 1070, 3619, 32725, 32, 22235, 1188, 25439, 265, 203, 1070, 3619, 32725, 32, 1956, 1188, 6512, 30, 3081, 30, 3319, 203, 1070, 3619, 32725, 32, 1040, 1188, 622, 81, 11447, 81, 2215, 30, 323, 203, 505, 464, 505, 280, 2107, 1031, 21055, 370, 330, 6189, 1763, 21055, 785, 203, 823, 3319, 21055, 26, 21055, 711, 284, 636, 280, 330, 1031, 1755, 25, 284, 20664, 280, 2107, 878, 785, 284, 26719, 280, 2107, 8440, 2760, 785, 284, 18346, 2516, 280, 2107, 878, 33, 7355, 785, 284, 665, 622, 81, 8395, 81, 311, 15192, 26, 784, 30, 1344, 711, 291, 6761, 225, 34, 30, 3319, 30, 1344, 203, 81, 102, 681, 81, 2613, 280, 2149, 203, 928, 81, 268, 280, 316, 32, 6993, 26, 84, 463, 3424, 21194, 96, 2847, 203, 823, 16289, 1763, 21055, 26, 21055, 711, 284, 636, 280, 330, 6189, 2404, 706, 25, 284, 20664, 280, 2107, 1294, 785, 284, 26719, 280, 1605, 284, 18346, 2516, 280, 2107, 3164, 33, 106, 31, 978, 32725, 31, 8395, 785, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 2184, 711, 291, 630, 32, 12447, 280, 622, 81, 11447, 81, 2215, 26, 2184, 30, 330, 12447, 370, 10000, 2107, 370, 330, 4108, 370, 330, 6680, 370, 330, 13910, 36, 2188, 9142, 291, 25439, 265, 3667, 1664, 3207, 784, 30, 1115, 2184, 27, 284, 665, 622, 81, 8395, 26, 784, 30, 1344, 711, 291, 415, 6937, 26, 878, 30, 15390, 711, 324, 1344, 280, 1344, 32, 4434, 463, 14510, 683, 291, 415, 630, 32, 12447, 610, 330, 6680, 950, 324, 1188, 24297, 324, 24297, 761, 280, 24297, 32, 57, 3969, 974, 22869, 330, 4506, 370, 225, 43, 30, 281, 652, 2338, 32, 652, 2338, 26, 878, 490, 324, 1344, 280, 24297, 761, 32, 850, 346, 291, 4348, 630, 32, 12447, 610, 330, 13910, 36, 950, 324, 1188, 323, 108, 36, 324, 1344, 280, 323, 108, 36, 32, 286, 12447, 26, 878, 27, 291, 1344, 280, 1344, 32, 7201, 26, 84, 9442, 96, 2847, 474, 323, 9442, 96, 683, 291, 436, 595, 30, 273, 30, 354, 328, 630, 32, 371, 81, 8395, 81, 311, 15192, 26, 878, 711, 324, 6761, 273, 30, 354, 284, 665, 622, 81, 8395, 81, 311, 15192, 26, 784, 30, 1344, 711, 291, 3104, 280, 225, 34, 291, 436, 2530, 328, 1628, 81, 268, 32, 1809, 1731, 26, 878, 711, 324, 1596, 44, 400, 273, 681, 466, 30, 909, 280, 2530, 32, 1363, 922, 2998, 26, 84, 9442, 102, 1425, 225, 35, 27, 324, 2940, 10091, 44, 400, 909, 280, 2530, 32, 1363, 922, 5460, 26, 784, 32, 8644, 27, 400, 273, 681, 280, 3081, 324, 813, 44, 400, 273, 681, 280, 617, 102, 681, 81, 2613, 32, 371, 26, 102, 681, 466, 27, 400, 415, 646, 273, 681, 44, 528, 273, 681, 280, 6512, 528, 273, 2516, 280, 273, 681, 466, 32, 2998, 3949, 11968, 35, 10056, 528, 436, 273, 681, 81, 328, 273, 2516, 44, 715, 415, 646, 273, 681, 81, 556, 646, 273, 681, 8850, 34, 997, 297, 7607, 2262, 1014, 3636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 2, 2, 4, 4, 7, 7, 2, 2, 4, 4, 7, 7, 7, 2, 2, 5, 4, 4, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 8, 7, 7, 7, 7, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 8, 8, 9, 8, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 2, 2, 4, 4, 2, 2, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 8, 8, 11, 9, 11, 11, 9, 11, 11, 9, 11, 11, 11, 8, 4, 4, 8, 7, 8, 8, 8, 7, 7, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 7, 5, 5, 8, 8, 10, 11, 10, 12, 12, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 7, 6, 6, 9, 8, 8, 10, 11, 11, 11, 10, 10, 12, 12, 10, 11, 10, 10, 13, 13, 12, 13, 13, 12, 13, 12, 6, 6, 8, 8, 11, 10, 11, 10, 5, 5, 6, 8, 9, 7, 7, 9, 9, 9, 6, 6, 8, 10, 10, 7, 7, 9, 9, 12, 12, 11, 12, 12, 11, 12, 11, 4, 4, 6, 6, 9, 10, 9, 11, 11, 14, 13, 7, 7, 9, 12, 11, 4, 4, 5, 6, 6, 6, 6, 5, 5, 7, 8, 8, 8, 8, 8, 8, 7, 8, 7, 5, 5, 8, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 4, 4, 5, 5, 5, 8, 8, 7, 8, 8, 7, 8, 7, 5, 5, 7, 7, 7, 12, 12, 11, 11, 10, 10, 14, 15, 14, 13, 12, 14, 14, 17, 16, 12, 13, 12, 7, 7, 8, 8, 8, 8, 11, 11, 15, 16, 15, 14, 13, 15, 14, 15, 13, 9, 9, 12, 11, 11, 7, 7, 8, 8, 8, 12, 11, 11, 14, 14, 14, 14, 13, 14, 13, 14, 14, 14, 13, 9, 9, 10, 11, 12, 10, 10, 10, 14, 13, 13, 11, 11, 14, 13, 13, 17, 17, 16, 17, 16, 18, 16, 15, 11, 11, 12, 13, 13, 12, 12, 13, 12, 12, 12, 14, 16, 17, 17, 15, 15, 16, 20, 20, 20, 19, 19, 19, 18, 14, 14 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 1, 2, 3, 3, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 2, 1, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 1, 2, 5, 1, 2, 5, 1, 1, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 3, 3, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 5, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 4, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 4, 4, 3, 1, 1, 1, 1, 3, 3, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 2, 4, 4, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 3, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 3, 3, 2, 1, 1, 2, 2, 3, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0 ]
[ 465, 5237, 30, 268, 203, 3798, 1166, 81, 668, 280, 428, 203, 313, 10322, 319, 4601, 392, 203, 313, 11252, 319, 5807, 392, 647, 203, 313, 15781, 319, 21320, 7591, 392, 203, 313, 1680, 319, 11990, 5311, 392, 15594, 313, 38880, 319, 2952, 392, 203, 313, 3285, 319, 10322, 319, 4601, 392, 203, 313, 3285, 319, 1680, 392, 203, 313, 3285, 319, 3539, 392, 203, 313, 3285, 319, 7321, 2320, 392, 203, 313, 3285, 319, 9842, 392, 203, 313, 3285, 319, 2952, 392, 203, 313, 3285, 319, 11695, 392, 203, 313, 3285, 319, 9856, 392, 203, 313, 3285, 319, 21991, 392, 203, 313, 3285, 319, 4620, 392, 203, 313, 3285, 319, 7100, 36438, 392, 203, 313, 3285, 319, 2319, 392, 203, 313, 3285, 319, 16995, 392, 203, 313, 6990, 319, 1407, 392, 203, 313, 521, 319, 4241, 392, 203, 313, 9856, 319, 10826, 31794, 392, 1659, 313, 4620, 319, 11252, 392, 203, 79, 203, 2998, 1112, 81, 668, 280, 428, 203, 313, 10322, 9591, 392, 203, 313, 11252, 4040, 392, 1659, 313, 15781, 9303, 392, 203, 313, 1680, 8741, 5311, 392, 1659, 313, 3285, 20313, 9591, 392, 203, 313, 3285, 10960, 392, 203, 313, 3285, 4786, 2320, 392, 203, 313, 3285, 17747, 392, 203, 313, 3285, 16285, 9382, 392, 203, 313, 3285, 30522, 392, 203, 313, 3285, 4158, 15693, 392, 203, 313, 3285, 10246, 392, 203, 313, 3285, 10534, 36438, 392, 203, 313, 3285, 11406, 392, 203, 313, 3285, 4998, 392, 203, 313, 9856, 39023, 392, 1659, 313, 4620, 17490, 392, 203, 79, 203, 3798, 1166, 81, 268, 280, 316, 32, 6993, 26, 100, 7646, 84, 440, 5667, 110, 2296, 2524, 26, 3798, 1166, 81, 668, 7283, 100, 657, 78, 84, 392, 268, 32, 59, 27, 203, 589, 6278, 1166, 81, 3359, 26, 101, 711, 284, 442, 309, 32, 1363, 26, 34, 547, 3227, 440, 17693, 657, 203, 2998, 1112, 81, 2665, 280, 5436, 26, 308, 83, 32, 3227, 440, 3003, 1010, 547, 5729, 1026, 83, 27, 436, 312, 328, 6122, 1112, 81, 668, 829, 203, 2998, 1112, 81, 268, 280, 316, 32, 6993, 26, 100, 7646, 84, 440, 5667, 110, 2296, 2524, 26, 2998, 1112, 81, 668, 547, 3227, 440, 17693, 657, 29, 100, 657, 78, 84, 392, 268, 32, 59, 27, 203, 589, 6122, 1112, 81, 3359, 26, 101, 711, 284, 442, 6122, 1112, 81, 2665, 77, 101, 32, 1363, 26, 34, 547, 5729, 7662, 203, 23910, 81, 7255, 280, 540, 2993, 203, 9856, 10534, 36438, 4158, 15693, 17747, 16285, 9382, 203, 3285, 9856, 3641, 4135, 2436, 36438, 7082, 21991, 3641, 3698, 1413, 2667, 7082, 11695, 203, 10322, 4601, 8860, 21320, 7591, 203, 9856, 10826, 31794, 203, 2319, 7082, 2319, 203, 20595, 69, 203, 4855, 28222, 203, 15787, 722, 2147, 33147, 14082, 44401, 41051, 12709, 1236, 1310, 14008, 1102, 31881, 26361, 5268, 5451, 203, 22116, 203, 9302, 203, 6898, 44694, 33116, 203, 16856, 17570, 203, 17763, 14199, 15156, 14035, 5776, 12631, 203, 8711, 516, 32985, 2715, 8303, 32165, 8912, 4613, 44320, 43108, 21207, 203, 14365, 726, 447, 3360, 3042, 7516, 41481, 20336, 203, 4620, 11252, 17490, 17490, 5807, 7082, 4620 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 8, 8, 8, 8, 6, 10, 10, 9, 8, 9, 9, 9, 9, 8, 7, 7, 7, 7, 7, 6, 5, 6, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 7, 8, 7, 8, 7, 6, 5, 7, 7, 0, 3, 3, 3, 3, 2, 2, 4, 4, 10, 9, 10, 9, 11, 11, 9, 8, 7, 6, 5, 4, 5, 5, 5, 6, 6, 6, 4, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 8, 8, 8, 8, 6, 12, 12, 11, 10, 11, 11, 11, 11, 10, 9, 8, 10, 10, 5, 7, 7, 7, 7, 7, 6, 5, 6, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 5, 4, 9, 8, 9, 8, 9, 8, 7, 6, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 3, 2, 1, 0, 4, 4, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 3, 1, 1, 2, 2, 2, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 3, 2, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29346, 32, 1637, 1188, 1938, 619, 1938, 81, 1647, 203, 1070, 29346, 32, 1637, 1188, 1938, 81, 470, 619, 1938, 81, 470, 81, 1647, 203, 1070, 1938, 81, 2021, 1188, 1202, 81, 7747, 81, 12095, 81, 5646, 203, 1070, 1938, 81, 2021, 1188, 7081, 2025, 81, 8774, 203, 589, 617, 1922, 1969, 1339, 1554, 7590, 2025, 39673, 26, 1637, 81, 6933, 30, 2926, 30, 2384, 30, 1861, 711, 334, 443, 37470, 7590, 2025, 1969, 26, 1637, 81, 6933, 711, 10065, 665, 4489, 1969, 39673, 26, 784, 30, 2125, 81, 10340, 711, 397, 7081, 2025, 81, 8774, 32, 7590, 2025, 26, 291, 2125, 81, 10340, 30, 2926, 47, 2816, 30, 1861, 47, 1644, 30, 2384, 47, 2273, 27, 334, 442, 37470, 7590, 2025, 1969, 203, 823, 3891, 11355, 28351, 7590, 2025, 1969, 26, 1637, 81, 1647, 32, 1969, 711, 334, 665, 1156, 1664, 3207, 784, 30, 1984, 30, 1938, 81, 470, 30, 2926, 30, 2384, 30, 1861, 30, 636, 26409, 6492, 47, 2521, 711, 284, 2599, 26, 953, 11355, 28351, 7590, 2025, 1969, 30, 630, 14585, 1664, 3207, 291, 1984, 47, 965, 30, 1938, 81, 470, 47, 1637, 81, 470, 30, 636, 47, 426, 30, 291, 10677, 81, 983, 1057, 605, 33, 12623, 32, 1260, 370, 6492, 47, 5919, 27, 284, 630, 32, 496, 81, 4867, 81, 681, 280, 330, 7747, 25, 284, 630, 32, 8929, 81, 605, 81, 761, 280, 330, 605, 33, 678, 81, 7747, 81, 12095, 81, 4315, 2025, 32, 1260, 25, 284, 630, 1114, 2816, 280, 2926, 284, 630, 1114, 1644, 280, 1861, 284, 630, 1114, 2273, 280, 2384, 334, 665, 4489, 1969, 39673, 26, 784, 30, 2125, 81, 10340, 711, 284, 7081, 2025, 81, 8774, 32, 7590, 2025, 26, 291, 2125, 81, 10340, 30, 2926, 47, 784, 1114, 2816, 30, 1861, 47, 784, 1114, 1644, 30, 2384, 47, 784, 1114, 2273, 27, 203, 823, 3891, 11355, 28351, 7590, 2025, 1969, 885, 26, 1637, 81, 470, 81, 1647, 32, 1969, 885, 711, 334, 665, 1156, 1664, 3207, 784, 30, 2926, 1057, 10832, 370, 1861, 47, 2521, 30, 2384, 47, 2521, 711, 284, 2599, 26, 953, 11355, 28351, 7590, 2025, 1969, 885, 30, 630, 14585, 1664, 3207, 397, 1256, 81, 4867, 81, 681, 1057, 7747, 370, 397, 13600, 81, 605, 81, 761, 1057, 605, 33, 678, 81, 7747, 81, 12095, 81, 4315, 2025, 32, 1260, 370, 397, 8105, 47, 1637, 81, 470, 81, 1647, 32, 14498, 13703, 81, 26468, 27, 284, 32681, 81, 1637, 81, 4820, 280, 428, 397, 1202, 81, 7747, 81, 12095, 81, 5646, 32, 5529, 283, 362, 5450, 93, 1586, 11661, 1969, 30, 397, 1202, 81, 7747, 81, 12095, 81, 5646, 32, 1318, 72, 2972, 11481, 1969, 30, 397, 1202, 81, 7747, 81, 12095, 81, 5646, 32, 53, 3997, 11481, 1969, 30, 397, 1202, 81, 7747, 81, 12095, 81, 5646, 32, 24249, 1969, 30, 397, 1202, 81, 7747, 81, 12095, 81, 5646, 32, 75, 22168, 11355, 1969, 30, 397, 1202, 81, 7747, 81, 12095, 81, 5646, 32, 15384, 383, 1969, 30, 397, 1202, 81, 7747, 81, 12095, 81, 5646, 32, 75, 18712, 24092, 1969, 30, 397 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 4, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 3, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 6, 6, 6, 7, 6, 6, 7, 7, 6, 5, 5, 10, 10, 10, 9, 10, 10, 9, 9, 9, 10, 10, 9, 9, 10, 11, 9, 9, 10, 11, 9, 9, 10, 11, 9, 2, 2, 3, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 6, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 8, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 8, 9, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 10, 7, 8, 9, 7, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 8, 8, 8, 7, 8, 8, 7, 7, 7, 8, 8, 7, 7, 8, 10, 9, 10, 7, 7, 8, 10, 9, 10, 7, 7, 8, 10, 9, 10, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 7, 7, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 9, 9, 9, 9, 8, 10, 10, 7, 7, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 7, 4, 4, 7, 7, 7, 7, 6, 6, 7, 7, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 8, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7 ]
[ 0, 0, 1, 2, 0, 0, 3, 3, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 3, 3, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 4, 4, 1, 1, 1, 1, 0, 5, 5, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 13, 2, 15, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 0, 7, 1, 1, 1, 1, 1, 2, 1, 9, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 5, 0, 2, 2, 1, 1, 7, 0, 2, 2, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 6, 6, 0, 1, 1, 1, 2, 2, 3, 1, 2, 2, 5, 2, 2, 2, 7, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 7, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 9, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 11, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 13, 2, 2, 2, 2, 2, 2 ]
[ 1216, 4064, 1427, 8223, 203, 1070, 1133, 1188, 1133, 203, 465, 6436, 619, 2065, 203, 465, 3619, 4785, 619, 1278, 203, 1070, 13134, 1188, 8607, 203, 1070, 13134, 32, 5176, 1188, 1224, 41226, 203, 1070, 13134, 32, 15183, 1188, 2454, 81, 17980, 203, 1070, 13134, 32, 286, 20103, 1188, 40631, 203, 1070, 13134, 32, 32370, 1188, 5247, 203, 2356, 32, 3855, 32, 7389, 26, 38, 36, 27, 203, 17980, 280, 2454, 81, 17980, 346, 203, 605, 280, 5247, 26, 17980, 32, 605, 27, 203, 96, 81, 7088, 30, 310, 81, 5905, 280, 706, 32, 3229, 203, 96, 81, 17980, 280, 2069, 26, 2356, 32, 5665, 26, 17980, 32, 1977, 490, 203, 5919, 280, 16105, 32, 1977, 203, 3287, 81, 891, 280, 225, 37, 34, 34, 203, 1216, 440, 96, 81, 17980, 44, 904, 86, 30, 766, 102, 310, 81, 7088, 904, 86, 30, 766, 102, 310, 81, 5905, 904, 86, 20, 397, 904, 308, 96, 81, 17980, 30, 310, 81, 7088, 30, 310, 81, 5905, 490, 203, 1216, 26, 41, 43, 319, 7610, 683, 203, 1216, 15339, 225, 43, 101, 25, 904, 330, 1664, 25, 397, 330, 264, 1133, 225, 328, 30677, 264, 420, 21197, 261, 19141, 225, 354, 31, 24109, 262, 399, 4715, 399, 5891, 225, 12851, 3463, 340, 31204, 683, 203, 589, 22260, 81, 93, 81, 23013, 26, 28978, 30, 636, 30, 706, 711, 284, 273, 34, 280, 1133, 346, 284, 37993, 32, 4698, 26, 605, 27, 284, 1459, 15339, 225, 43, 101, 261, 16125, 36, 2548, 264, 904, 91, 261, 16125, 37, 88, 261, 16125, 37, 88, 261, 16125, 37, 88, 261, 16125, 37, 88, 261, 16125, 37, 88, 264, 16125, 37, 88, 25, 616, 904, 308, 426, 30, 308, 1003, 346, 429, 273, 34, 471, 37993, 32, 266, 30677, 3739, 1802, 8607, 32, 26266, 30308, 543, 81, 5020, 26, 5919, 30, 37993, 32, 5919, 29250, 1802, 8607, 32, 980, 730, 26226, 81, 5020, 26, 5919, 30, 37993, 32, 5919, 29250, 1802, 8607, 32, 104, 81, 12079, 81, 5020, 26, 5919, 30, 37993, 32, 5919, 29250, 1802, 8607, 32, 46120, 81, 6386, 81, 5020, 26, 5919, 30, 37993, 32, 5919, 29250, 1802, 8607, 32, 46120, 81, 2278, 1029, 81, 1338, 81, 5020, 26, 5919, 30, 225, 37993, 32, 5919, 29250, 1802, 8607, 32, 10411, 3463, 340, 31204, 81, 5020, 26, 605, 30, 37993, 32, 5919, 3739, 8479, 10021, 1057, 87, 34986, 370, 8479, 3964, 81, 891, 47, 3287, 81, 891, 2610, 203, 11917, 81, 93, 81, 23013, 26, 61, 41226, 26, 1664, 1057, 93, 31, 23013, 1046, 370, 310, 81, 18806, 47, 96, 81, 17980, 30, 310, 81, 1664, 47, 35, 34, 471, 1090, 636, 347, 93, 31, 23013, 1046, 392, 706, 47, 605, 27, 203, 11917, 81, 93, 81, 23013, 26, 61, 41226, 26, 1664, 1057, 3855, 370, 310, 81, 18806, 47, 96, 81, 17980, 30, 310, 81, 1664, 47, 35, 34, 471, 1090, 636, 347, 3855, 392, 706, 47, 605, 27, 203, 35823, 280, 40631, 26, 96, 81, 3527, 47, 96, 81, 17980, 547, 4698, 26, 605, 27, 203, 11917, 81, 93, 81, 23013, 26, 61, 41226 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 4, 4, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 4, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 5, 4, 5, 3, 4, 3, 4, 4, 3, 0, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 4, 6, 5, 6, 4, 0, 4, 4, 4, 3, 3, 4, 4, 2, 2, 3, 4, 0, 3, 3, 3, 2, 2, 4, 7, 6, 7, 6, 8, 7, 8, 6, 0, 3, 2, 2, 3, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 0, 3, 3, 5, 5, 4, 4, 6, 0, 3, 3, 6, 6, 6, 6, 4, 4, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 7, 7, 11, 11, 9, 9, 10, 8, 7, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 11, 11, 7, 7, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 11, 11, 7, 7, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 11, 11, 7, 7, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 11, 11, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 10, 11, 11, 7, 7, 9, 10, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 11, 11, 9, 9, 10, 12, 12, 12, 9, 9, 11, 11, 10, 11, 11, 11, 9, 0, 3, 3, 3, 3, 3, 3, 5, 5, 5, 7, 6, 8, 8, 8, 8, 8, 5, 7, 7, 6, 7, 7, 7, 5, 5, 7, 7, 6, 7, 7, 5, 3, 3, 4, 6, 6, 6, 6, 6, 3, 4, 5, 3, 0, 3, 3, 3, 3, 3, 3, 5, 5, 5, 7, 6, 8, 8, 5, 7, 7, 6, 7, 7, 7, 5, 5, 7, 7, 6, 7, 7, 5, 3, 3, 4, 6, 6, 3, 4, 5, 3, 0, 3, 2, 2, 6, 8, 8, 8, 7, 8, 8, 8, 6, 5, 4, 5, 4, 0, 3, 3, 3, 3, 3, 3, 5, 5 ]
[ 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 3, 3, 0, 1, 1, 0, 4, 4, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 7, 7, 1, 2, 2, 7, 7, 0, 8, 8, 1, 2, 8, 8, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 19, 19, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 19, 19, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 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, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 3, 2, 5, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 5, 1, 1, 2, 1, 1, 0, 0, 7, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 5, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 1, 1, 0, 0, 5, 2, 2, 1, 1, 1, 3, 1, 2, 1, 5, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 465, 7138, 203, 465, 19571, 203, 465, 25679, 203, 465, 16672, 203, 465, 1133, 203, 1070, 5953, 32, 22792, 81, 36118, 32, 26337, 1501, 32, 465, 81, 26337, 81, 1501, 1188, 308, 284, 622, 81, 27473, 30, 622, 81, 5512, 102, 81, 1473, 30, 622, 81, 916, 81, 1070, 81, 1294, 81, 878, 30, 203, 27, 203, 1070, 5953, 32, 1903, 32, 3378, 1188, 26016, 102, 203, 2897, 280, 225, 38, 203, 1270, 44, 284, 623, 2156, 463, 27473, 81, 5136, 32, 30105, 370, 330, 4506, 683, 619, 2421, 81, 761, 44, 291, 39953, 81, 5136, 280, 19571, 32, 944, 26, 3299, 81, 761, 27, 203, 7343, 308, 2338, 924, 30, 21008, 924, 711, 284, 39953, 81, 5136, 280, 2149, 203, 464, 81, 5512, 1421, 280, 26016, 102, 32, 5740, 32, 464, 346, 203, 589, 622, 81, 27473, 81, 363, 81, 5512, 102, 26, 1732, 81, 983, 711, 284, 5081, 81, 878, 280, 2156, 26, 1732, 81, 983, 547, 850, 346, 284, 5063, 81, 916, 81, 3242, 30, 6153, 81, 916, 81, 3242, 30, 5063, 81, 916, 81, 466, 30, 3361, 81, 878, 280, 622, 81, 916, 81, 1070, 81, 1294, 81, 878, 26, 1294, 81, 878, 27, 284, 39953, 280, 622, 81, 27473, 26, 6008, 81, 916, 81, 3242, 30, 1135, 81, 983, 27, 284, 47057, 280, 622, 81, 5512, 102, 81, 1473, 26, 6008, 81, 916, 81, 3242, 30, 1135, 81, 983, 47, 1732, 81, 983, 27, 284, 415, 39953, 328, 39953, 81, 5136, 44, 291, 415, 47057, 328, 39953, 81, 5136, 77, 27473, 2786, 324, 39953, 81, 5136, 77, 27473, 1674, 5512, 102, 79, 1454, 225, 35, 291, 813, 44, 324, 39953, 81, 5136, 77, 27473, 1674, 5512, 102, 79, 280, 225, 35, 284, 813, 44, 291, 39953, 81, 5136, 77, 27473, 79, 280, 301, 5512, 102, 44, 225, 35, 111, 203, 589, 2575, 2262, 284, 4118, 280, 16672, 32, 26633, 26, 2310, 1057, 4196, 322, 27619, 3943, 810, 4927, 1501, 683, 284, 4118, 32, 669, 81, 2669, 12605, 88, 370, 11363, 761, 370, 827, 47, 466, 30, 1244, 347, 1055, 32, 2760, 392, 2129, 47, 2700, 30, 3466, 347, 761, 81, 426, 392, 715, 3049, 347, 1318, 803, 688, 1401, 1169, 322, 17388, 372, 1188, 30, 1591, 1292, 1628, 7144, 284, 4118, 32, 669, 81, 2669, 12605, 94, 370, 11363, 928, 370, 827, 47, 410, 30, 1244, 47, 35, 30, 2129, 47, 2700, 30, 715, 3049, 1057, 2797, 3943, 30, 458, 1098, 526, 322, 1628, 1451, 328, 322, 1650, 803, 2154, 996, 20791, 8202, 11834, 284, 4118, 32, 669, 81, 2669, 12605, 100, 370, 11363, 14957, 370, 1244, 47, 2700, 30, 2129, 47, 2700, 30, 2125, 1057, 2157, 81, 1508, 370, 715, 3049, 1057, 4391, 322, 7511, 10029, 372, 20791, 4212, 2154, 561, 2401, 3803, 11834, 284, 2181, 280, 4118, 32, 2208, 81, 1132, 346, 284, 665, 1135, 81, 7101, 26, 928, 81, 2171, 711, 291, 1650, 81, 761, 280, 2156, 26, 1132, 32, 761, 81, 426, 27, 291, 436, 595, 30, 1628, 328, 10703, 26, 1055, 81, 761, 711, 324, 415, 595, 848, 1628, 81, 2171, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 3, 2, 2, 3, 0, 1, 1, 1, 1, 3, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 6, 6, 8, 8, 3, 3, 3, 7, 7, 6, 6, 8, 9, 8, 9, 9, 9, 8, 1, 2, 2, 4, 4, 3, 3, 4, 3, 2, 2, 6, 6, 5, 5, 0, 3, 3, 3, 3, 2, 2, 6, 5, 6, 4, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 8, 9, 9, 9, 8, 7, 6, 2, 2, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 3, 4, 4, 5, 5, 3, 3, 3, 5, 6, 6, 8, 8, 7, 8, 7, 5, 5, 11, 11, 10, 11, 10, 10, 10, 9, 8, 8, 9, 5, 5, 6, 6, 6, 12, 12, 11, 12, 11, 11, 11, 10, 9, 9, 10, 3, 3, 4, 4, 4, 9, 9, 8, 9, 8, 7, 7, 10, 10, 9, 9, 10, 8, 0, 1, 1, 2, 1, 1, 4, 4, 6, 7, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 6, 7, 5, 5, 6, 8, 8, 8, 8, 5, 6, 7, 5, 5, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 6, 7, 5, 5, 6, 7, 5, 5, 6, 7, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 6, 7, 5, 5, 6, 7, 5, 5, 6, 8, 8, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 5, 5, 5, 4, 3, 3, 7, 7, 6, 6, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 6, 6, 5, 5, 7, 8, 8, 8, 7, 5, 5, 7, 8, 8, 9, 9, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 2, 2, 1, 4, 4, 1, 6, 6, 6, 6, 6, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 2, 0, 8, 8, 8, 8, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 8, 3, 3, 1, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 4, 4, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 4, 1, 1, 2, 2, 4, 4, 4, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 4, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 4, 4, 4, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 11, 11, 2, 11, 11, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 2, 1, 1, 7, 1, 1, 1, 2, 1, 9, 2, 1, 1, 11, 1, 1, 1, 2, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 2, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 2, 1, 1, 7, 2, 1, 1, 9, 1, 1, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 5, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0 ]
[ 1070, 8888, 37, 36, 508, 32, 7883, 1188, 9073, 203, 465, 4262, 508, 203, 465, 2322, 203, 589, 2156, 26, 3607, 711, 284, 2197, 47, 22229, 346, 284, 2197, 32, 944, 26, 3607, 27, 284, 442, 2197, 203, 823, 13801, 6306, 44, 284, 665, 1156, 1664, 3207, 784, 30, 29265, 1519, 47, 2521, 30, 353, 4209, 47, 2521, 30, 29265, 3048, 47, 2521, 30, 353, 4740, 1515, 47, 2521, 30, 353, 4269, 983, 47, 2521, 30, 353, 4269, 2875, 47, 34, 711, 291, 630, 1114, 1439, 280, 4262, 508, 32, 2235, 35950, 26, 324, 9073, 32, 1583, 22771, 81, 7162, 2359, 30, 1665, 30, 324, 4262, 508, 32, 35536, 18629, 81, 521, 10826, 81, 8094, 30, 9073, 32, 25806, 81, 1296, 3101, 2359, 291, 829, 291, 706, 280, 1992, 26, 2521, 30, 41155, 2107, 15860, 101, 14891, 904, 2322, 32, 983, 32, 21379, 26, 983, 471, 4209, 30, 3048, 30, 528, 2322, 32, 983, 32, 21379, 26, 13578, 1515, 471, 2322, 32, 983, 32, 21379, 26, 1566, 983, 14155, 41155, 2884, 885, 1215, 392, 313, 885, 8555, 392, 313, 885, 3234, 392, 4511, 313, 885, 17818, 4542, 657, 829, 291, 436, 786, 30, 667, 328, 706, 44, 324, 415, 786, 461, 667, 44, 400, 18623, 26, 784, 30, 667, 2502, 853, 27, 291, 415, 4269, 983, 44, 324, 630, 32, 885, 2913, 2924, 26, 1566, 983, 30, 4269, 2875, 27, 284, 665, 2454, 26, 630, 30, 4870, 8063, 291, 630, 1114, 1439, 32, 38441, 26, 2958, 508, 32, 25806, 81, 2027, 483, 427, 974, 547, 3013, 26, 3607, 27, 284, 665, 4131, 26, 630, 30, 4870, 8063, 291, 630, 1114, 1439, 32, 38441, 26, 2958, 508, 32, 25806, 81, 2027, 483, 427, 974, 547, 5126, 26, 3607, 30, 225, 34, 27, 284, 665, 1156, 32110, 3207, 630, 30, 636, 8063, 291, 415, 636, 863, 7286, 1439, 563, 324, 442, 18623, 26, 784, 1114, 1439, 30, 636, 27, 291, 3636, 29316, 4912, 101, 1980, 1401, 1289, 3879, 904, 101, 20, 904, 308, 324, 630, 3667, 823, 29215, 426, 7642, 636, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 4, 6, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 0, 1, 1, 2, 1, 1, 1, 3, 4, 4, 5, 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, 5, 6, 4, 4, 4, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 9, 8, 9, 9, 8, 8, 8, 9, 10, 10, 10, 10, 10, 8, 8, 8, 8, 8, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 8, 8, 4, 4, 6, 6, 8, 9, 8, 8, 8, 12, 12, 12, 10, 10, 13, 14, 12, 13, 12, 13, 12, 9, 9, 9, 9, 9, 9, 12, 13, 11, 12, 11, 12, 12, 11, 9, 12, 13, 11, 12, 11, 12, 12, 11, 8, 8, 11, 11, 11, 9, 11, 11, 11, 9, 11, 11, 11, 9, 9, 11, 11, 11, 11, 8, 4, 4, 5, 6, 6, 5, 5, 5, 5, 5, 7, 8, 8, 7, 7, 7, 12, 13, 12, 12, 12, 12, 11, 4, 4, 5, 6, 5, 5, 5, 9, 10, 10, 10, 9, 10, 10, 9, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 3, 3, 10, 11, 9, 10, 9, 11, 11, 10, 11, 11, 11, 11, 11, 11, 9, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 3, 3, 10, 11, 9, 10, 9, 11, 11, 10, 11, 11, 11, 11, 11, 11, 9, 8, 7, 8, 7, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 8, 8, 5, 5, 7, 9, 11, 10, 11, 9, 9, 9, 4, 4, 5, 7, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 11, 12, 12, 11, 11, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 2, 1, 2, 3, 3, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 0, 4, 4, 1, 4, 4, 4, 0, 1, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 7, 2, 2, 2, 2, 0, 9, 2, 2, 2, 2, 0, 11, 2, 2, 2, 2, 0, 13, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 7, 2, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 2, 5, 1, 1, 2, 5, 5, 1, 1, 1, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 3, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 3, 3, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 3, 1, 3, 3, 3, 1, 1, 2, 2, 2, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 316, 203, 1070, 3363, 1188, 44524, 203, 9471, 280, 429, 36, 203, 53, 20285, 280, 429, 35, 203, 48820, 280, 225, 34, 203, 10933, 280, 225, 35, 203, 18773, 280, 225, 36, 203, 42809, 280, 225, 37, 203, 12238, 280, 225, 38, 203, 3285, 81, 4780, 280, 225, 39, 203, 29940, 280, 225, 40, 203, 34869, 280, 225, 41, 203, 7100, 280, 225, 42, 203, 24111, 280, 225, 43, 203, 13184, 280, 225, 35, 34, 203, 14127, 2916, 280, 225, 35, 35, 203, 21144, 280, 225, 35, 36, 203, 13024, 280, 225, 35, 37, 203, 16884, 280, 225, 35, 38, 203, 8606, 280, 225, 35, 39, 203, 2579, 81, 4243, 280, 301, 284, 429, 36, 44, 330, 9471, 370, 284, 429, 35, 44, 330, 53, 20285, 370, 275, 34, 44, 330, 48820, 370, 275, 35, 44, 330, 10933, 370, 275, 36, 44, 330, 18773, 370, 275, 37, 44, 330, 42809, 370, 275, 38, 44, 330, 12238, 370, 275, 39, 44, 330, 3285, 81, 4780, 370, 275, 40, 44, 330, 29940, 370, 275, 41, 44, 330, 34869, 370, 275, 42, 44, 330, 7100, 370, 275, 43, 44, 330, 24111, 370, 275, 35, 34, 44, 330, 13184, 370, 275, 35, 35, 44, 330, 14127, 2916, 370, 275, 35, 36, 44, 330, 21144, 370, 275, 35, 37, 44, 330, 13024, 370, 275, 35, 38, 44, 330, 16884, 370, 275, 35, 39, 44, 330, 8606, 25, 203, 111, 203, 2579, 7787, 280, 301, 284, 17276, 25, 499, 44869, 34534, 30, 284, 8930, 25, 499, 18571, 30, 284, 330, 8129, 499, 45735, 30, 284, 8493, 25, 499, 488, 3336, 30, 284, 15441, 25, 499, 13754, 30, 284, 3228, 96, 25, 499, 7082, 81, 4780, 30, 284, 40530, 499, 23005, 14033, 30, 284, 25366, 25, 499, 28135, 527, 30, 284, 27491, 499, 10534, 30, 284, 3228, 34, 34, 34, 25, 499, 30365, 19377, 30, 284, 330, 330, 499, 40074, 30, 3228, 102, 25, 499, 40074, 30, 284, 28948, 25, 499, 19258, 5751, 30, 284, 47268, 499, 13550, 30, 284, 3228, 35, 41, 41, 25, 499, 22855, 203, 111, 203, 979, 595, 328, 2155, 26, 34, 30, 36, 40, 711, 284, 10501, 7787, 77, 9918, 26, 655, 463, 51, 683, 29, 91, 2177, 280, 22091, 284, 10501, 7787, 77, 9918, 26, 655, 463, 83, 683, 29, 91, 2177, 280, 22091, 203, 823, 11933, 44, 284, 665, 1156, 1664, 505, 308, 784, 30, 803, 47, 2521, 30, 1628, 47, 2521, 30, 1351, 47, 2521, 711, 291, 630, 32, 761, 280, 803, 291, 630, 32, 928, 280, 1628, 291, 630, 32, 1594, 280, 1351, 284, 665, 1156, 466, 505, 308, 784, 711, 291, 1344, 280, 4247, 291, 415, 630, 32, 761, 44, 324, 1344, 280, 803, 474, 25487, 291, 415, 630, 32, 928, 438, 646, 1665, 44, 324, 415, 1344, 863, 40496, 400, 1344, 1454, 25487, 324, 1344, 1454, 6611, 86, 25, 904, 630, 32, 928, 324, 415, 630, 32, 1594, 438, 646, 1665, 44, 400, 1344, 1454, 330, 6069, 86, 25, 904, 630, 32, 1594, 291, 442, 1344, 203, 823, 6512, 44, 284, 665, 1156, 1664, 505, 308, 784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 0, 3, 2, 2, 4, 0, 3, 3, 2, 2, 4, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 0, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 0, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 4, 4, 6, 6, 3, 3, 6, 4, 4, 6, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 5, 5, 4, 4, 6, 6, 3, 3, 0, 3, 3, 2, 2, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 3, 3, 3, 6, 4, 4, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 3, 3, 3, 7, 6, 4, 4, 5, 5, 3, 3, 3, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 3, 7, 7, 7, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 3, 3, 7, 6, 4, 4, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 4, 4, 3, 3, 3, 7, 7, 7, 6, 4, 4, 3, 3, 0, 1, 1, 1, 1, 3, 4, 3, 4, 4, 3, 1, 1, 6, 5, 7, 7, 10, 10, 12, 12, 8, 9, 7, 4, 4, 2, 2, 6, 5, 7, 7, 10, 10, 12, 12, 8, 9, 7, 4, 4, 0, 1, 1, 1, 1, 1, 3, 4, 4, 3, 5, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 3, 5, 4, 3, 3, 6, 6, 4, 4, 5, 6, 7, 5, 5, 5, 8, 8, 9, 9, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 5, 7, 8, 8, 7, 7, 10, 10, 6, 6, 8, 8, 11, 11, 9, 9, 10, 11, 6, 6, 7, 9, 10, 8, 8, 8, 7, 7, 7, 10, 10, 13, 13, 13, 11, 11, 12, 13, 4, 4, 5, 0, 1, 1, 1, 1, 1, 3, 4, 4, 3, 5 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 3, 3, 1, 1, 2, 2, 0, 5, 5, 1, 2, 2, 0, 7, 7, 1, 2, 2, 0, 9, 9, 1, 2, 2, 0, 11, 11, 1, 2, 2, 0, 13, 13, 1, 2, 2, 0, 15, 15, 1, 1, 1, 2, 2, 0, 17, 17, 1, 2, 2, 0, 19, 19, 1, 2, 2, 0, 21, 21, 1, 2, 2, 0, 23, 23, 1, 2, 2, 0, 0, 25, 25, 1, 2, 2, 0, 0, 27, 27, 1, 1, 2, 2, 0, 0, 29, 29, 1, 2, 2, 0, 0, 31, 31, 1, 2, 2, 0, 0, 33, 33, 1, 2, 2, 0, 0, 35, 35, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 5, 5, 2, 2, 2, 2, 7, 7, 2, 2, 2, 2, 2, 9, 9, 2, 2, 2, 0, 2, 11, 11, 2, 2, 2, 2, 2, 13, 13, 2, 2, 2, 2, 2, 15, 15, 2, 2, 2, 2, 17, 17, 2, 2, 2, 0, 0, 0, 2, 19, 19, 2, 2, 2, 2, 1, 21, 21, 2, 2, 0, 2, 23, 23, 2, 2, 2, 2, 25, 25, 2, 2, 2, 2, 27, 27, 2, 2, 2, 0, 0, 0, 2, 29, 29, 2, 2, 0, 22, 22, 22, 22, 1, 1, 1, 3, 3, 1, 22, 22, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 5, 5, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 23, 23, 23, 23, 23, 0, 1, 1, 0, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 4, 4, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 3, 3, 0, 0, 1, 2, 2, 2, 2, 2, 3, 3, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 0, 24, 24, 24, 24, 24, 0, 1, 1, 0, 1 ]
[ 1070, 35094, 1188, 33845, 203, 1070, 11171, 1188, 14294, 203, 465, 11685, 203, 465, 18792, 203, 1070, 594, 19086, 445, 1188, 971, 73, 2223, 635, 984, 203, 1070, 4377, 11452, 1188, 8073, 24275, 2207, 30, 8073, 24275, 2062, 30, 766, 284, 24580, 6312, 7961, 30, 8073, 21387, 1397, 30, 3704, 7133, 8466, 924, 30, 766, 284, 1593, 36666, 21387, 6312, 7961, 30, 1593, 36666, 21387, 685, 8567, 7961, 203, 823, 1593, 36666, 21387, 1183, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 11337, 30, 5383, 711, 291, 630, 1114, 9613, 280, 11337, 291, 630, 1114, 6250, 280, 5383, 284, 665, 6144, 81, 16051, 81, 1357, 26, 784, 30, 3361, 30, 4826, 30, 1411, 30, 1519, 711, 291, 415, 646, 6937, 26, 1548, 30, 18792, 32, 800, 81, 2516, 711, 324, 3361, 280, 3361, 32, 5460, 440, 3310, 31, 42, 657, 291, 15319, 81, 16051, 280, 1665, 291, 436, 3338, 81, 678, 30, 3338, 81, 853, 328, 4826, 32, 3028, 2262, 324, 415, 3338, 81, 678, 32, 5729, 346, 610, 330, 106, 31, 36666, 31, 16051, 950, 400, 15319, 81, 16051, 280, 3338, 81, 853, 291, 415, 15319, 81, 16051, 438, 1665, 44, 324, 3636, 3704, 7133, 8466, 924, 26, 400, 313, 1318, 1593, 31, 2338, 72, 31, 21387, 3338, 1597, 646, 2431, 328, 322, 13798, 4826, 313, 400, 313, 1070, 322, 1326, 15981, 291, 1596, 44, 324, 630, 1114, 9613, 32, 6967, 81, 16051, 81, 1357, 26, 400, 15319, 81, 16051, 30, 400, 630, 1114, 6250, 30, 400, 1411, 30, 400, 1519, 30, 400, 3361, 27, 291, 2940, 308, 21387, 6312, 7961, 30, 8073, 21387, 1397, 27, 619, 5966, 44, 324, 3636, 1593, 36666, 21387, 6312, 7961, 26, 10354, 47, 10354, 27, 291, 442, 3361, 284, 665, 24827, 81, 92, 1376, 26, 784, 30, 3361, 30, 4826, 30, 1411, 30, 1519, 711, 291, 3361, 280, 630, 32, 6967, 81, 16051, 81, 1357, 26, 1548, 30, 4826, 30, 1411, 30, 1519, 27, 291, 1596, 44, 324, 442, 630, 1114, 9613, 32, 23226, 81, 1986, 26, 1548, 27, 291, 2940, 971, 73, 2223, 635, 984, 619, 5966, 44, 324, 3636, 1593, 36666, 21387, 685, 8567, 7961, 26, 10354, 27, 203, 823, 14294, 2762, 26, 1473, 711, 284, 665, 645, 81, 800, 26, 784, 30, 11171, 81, 853, 30, 1503, 47, 2521, 711, 291, 415, 646, 6937, 26, 6572, 81, 853, 30, 14294, 711, 324, 1596, 44, 400, 11171, 81, 853, 280, 14294, 26, 6572, 81, 853, 27, 324, 2940, 308, 22239, 30, 12678, 30, 29316, 711, 400, 3636, 8073, 24275, 2207, 346, 291, 630, 32, 4635, 81, 1648, 26, 6572, 81, 853, 30, 1503, 27, 291, 442, 11171, 81, 853, 284, 477, 16099, 284, 665, 6042, 81, 1648, 26, 6572, 81, 853, 30, 1503, 711, 291, 415, 646, 6937, 26, 6572, 81, 853, 30, 14294, 711, 324, 3636, 8073, 24275, 2207, 346, 291, 415, 1503, 438, 646, 1665, 461, 629, 26, 1648, 27, 863, 11171, 81, 853, 32, 1648, 44, 324, 3636, 8073, 24275, 2062, 346, 203, 589, 26457, 81, 1643, 26, 6665, 711, 284, 442, 7138, 32, 20834, 4912, 75, 9299 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 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, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 5, 6, 8, 9, 8, 8, 9, 10, 10, 10, 8, 5, 5, 8, 8, 10, 11, 10, 12, 12, 12, 12, 4, 4, 7, 7, 6, 6, 4, 4, 5, 7, 7, 6, 6, 7, 7, 5, 5, 7, 8, 7, 5, 5, 7, 11, 11, 10, 11, 10, 8, 8, 10, 10, 10, 10, 10, 10, 7, 7, 11, 11, 10, 10, 11, 11, 4, 4, 5, 7, 7, 6, 6, 5, 5, 5, 7, 9, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 4, 4, 5, 5, 5, 10, 11, 9, 10, 10, 10, 10, 10, 9, 9, 9, 10, 10, 9, 9, 9, 10, 11, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 9, 9, 9, 8, 8, 9, 9, 8, 7, 7, 6, 6, 6, 8, 10, 10, 10, 10, 10, 12, 11, 12, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 7, 10, 11, 9, 10, 10, 10, 9, 10, 9, 5, 5, 6, 8, 8, 8, 8, 7, 7, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 11, 10, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 8, 9, 9, 9, 8, 8, 8, 5, 5, 7, 7, 7, 11, 11, 10, 10, 12, 13, 13, 13, 12, 7, 7, 8, 10, 9, 9, 9, 9, 9, 8, 8, 10, 12, 12, 12, 4, 4, 7, 8, 8, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 5, 6, 6, 2, 2, 5, 3, 3, 4, 5, 5, 5, 6, 6, 6, 5, 5, 5, 4, 4, 6, 7, 9, 10, 10, 10, 9, 9, 9, 6, 6, 8, 10, 10, 10, 5, 5, 6, 8, 8, 8, 7, 7, 10, 11, 10, 8, 8, 10, 10, 9, 10, 6, 6, 6, 8, 10, 10, 10, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 6, 7, 6, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 7, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 14, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 6, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 3, 0, 0, 1, 1, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 0, 0, 3, 3, 0, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 5, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 0, 0, 0, 0, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 8, 8, 1, 1, 2, 1, 2, 8, 8, 0, 0, 2, 1, 1, 1 ]
[ 20, 974, 31, 7873, 3320, 9161, 20, 203, 465, 19493, 203, 465, 12460, 203, 465, 42406, 203, 465, 3363, 203, 465, 2322, 203, 465, 3995, 203, 465, 29590, 203, 465, 1133, 203, 465, 36252, 203, 1070, 8527, 32, 1262, 32, 2613, 32, 11514, 32, 1439, 1188, 4040, 81, 14247, 30, 3772, 2597, 203, 1070, 8527, 32, 1262, 32, 2536, 32, 1500, 1188, 803, 81, 1500, 81, 4770, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 3651, 203, 1270, 44, 284, 645, 8527, 32, 2304, 32, 25931, 32, 21332, 1188, 281, 14686, 274, 619, 19571, 203, 7343, 29986, 44, 284, 1188, 19571, 203, 823, 2032, 10332, 2597, 26, 1761, 2597, 711, 284, 3320, 81, 12420, 280, 5608, 20063, 2613, 25, 284, 665, 1156, 1664, 3207, 784, 30, 4921, 30, 2803, 711, 291, 2599, 26, 974, 10332, 2597, 30, 630, 14585, 1664, 3207, 2132, 27, 291, 630, 1114, 1515, 280, 2322, 32, 983, 32, 21379, 26, 1515, 27, 291, 630, 1114, 4524, 476, 346, 284, 665, 1015, 26, 784, 30, 1202, 30, 786, 30, 5868, 47, 5807, 81, 14247, 30, 1503, 47, 2521, 711, 291, 415, 630, 32, 2040, 81, 678, 26, 678, 30, 1503, 711, 324, 442, 3177, 291, 630, 32, 470, 26, 678, 30, 786, 30, 5868, 30, 1503, 27, 291, 442, 2933, 284, 665, 622, 26, 784, 30, 1202, 30, 1244, 47, 2521, 30, 1503, 47, 2521, 711, 291, 18146, 280, 630, 1114, 678, 81, 452, 81, 761, 26, 678, 30, 1503, 27, 291, 1596, 44, 324, 623, 3363, 32, 1676, 26, 10555, 30, 330, 4506, 683, 619, 296, 44, 400, 415, 646, 630, 1114, 297, 81, 30046, 26, 88, 711, 528, 442, 19571, 32, 12474, 26, 31586, 32, 286, 12447, 26, 88, 32, 850, 5156, 291, 2940, 45338, 619, 484, 44, 324, 415, 484, 32, 12864, 863, 19493, 32, 21125, 1438, 44, 400, 3636, 291, 442, 1244, 284, 665, 739, 26, 784, 30, 1202, 30, 786, 30, 5868, 47, 5807, 81, 14247, 30, 1503, 47, 2521, 711, 291, 630, 1114, 4524, 476, 346, 16189, 18146, 280, 630, 1114, 678, 81, 452, 81, 761, 26, 678, 30, 1503, 27, 291, 630, 1114, 85, 514, 346, 16189, 9899, 30, 3691, 81, 983, 280, 29590, 32, 4765, 270, 957, 26, 1515, 47, 784, 1114, 1515, 27, 291, 23008, 280, 3177, 291, 1596, 44, 324, 623, 3363, 32, 1676, 26, 2995, 30, 330, 12108, 683, 619, 296, 44, 400, 31027, 280, 630, 32, 371, 81, 7878, 81, 5457, 26, 5457, 27, 400, 296, 32, 1821, 26, 24088, 32, 16958, 26, 31504, 30, 19571, 32, 48534, 1675, 635, 81, 20474, 490, 400, 296, 32, 1821, 26, 31586, 32, 12447, 26, 24088, 32, 16958, 26, 853, 30, 19571, 32, 48534, 1675, 635, 81, 20474, 2610, 324, 803, 81, 1500, 81, 4770, 26, 2868, 81, 983, 30, 18146, 30, 2608, 81, 26495, 47, 1815, 27, 324, 23008, 280, 2933, 291, 8295, 44, 324, 415, 646, 23008, 44, 400, 2322, 32, 2546, 26, 2868, 81, 983, 27, 284, 665, 3066, 26, 784, 30, 1202, 30, 1503, 47, 2521, 711, 291, 630, 1114, 2560, 26, 784, 1114 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 4, 5, 3, 3, 6, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 4, 4, 5, 6, 4, 3, 3, 5, 7, 8, 8, 8, 7, 8, 7, 7, 7, 5, 5, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 5, 5, 5, 7, 12, 13, 12, 13, 12, 12, 14, 14, 10, 10, 7, 7, 7, 9, 10, 12, 13, 13, 13, 12, 13, 12, 9, 9, 11, 13, 14, 13, 16, 15, 16, 16, 15, 18, 17, 18, 17, 5, 5, 6, 7, 7, 6, 6, 6, 8, 10, 11, 9, 9, 10, 11, 11, 8, 8, 8, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 7, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 7, 8, 8, 7, 4, 4, 7, 7, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 11, 10, 11, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 12, 13, 12, 13, 12, 12, 14, 14, 10, 10, 7, 7, 7, 10, 10, 12, 13, 13, 13, 13, 13, 12, 13, 12, 8, 8, 11, 12, 11, 14, 13, 14, 13, 14, 13, 13, 14, 15, 15, 15, 15, 15, 13, 8, 8, 11, 12, 11, 14, 13, 14, 13, 16, 15, 16, 15, 16, 15, 15, 16, 17, 17, 17, 17, 17, 15, 6, 6, 9, 9, 9, 9, 9, 10, 10, 10, 9, 9, 9, 9, 11, 11, 10, 11, 9, 6, 6, 8, 8, 5, 5, 6, 6, 6, 8, 9, 8, 8, 8, 12, 13, 12, 13, 13, 13, 12, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 6, 4, 3, 3, 7, 8, 7, 10, 9 ]
[ 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 1, 2, 1, 4, 1, 6, 1, 8, 10, 10, 0, 0, 10, 10, 0, 0, 11, 11, 1, 2, 1, 4, 1, 6, 11, 11, 0, 0, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 13, 13, 13, 13, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 3, 3, 13, 3, 3, 3, 3, 3, 0, 0, 14, 14, 1, 1, 2, 1, 1, 2, 14, 14, 0, 0, 0, 0, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 4, 4, 3, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 3, 1, 1, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 4, 4, 2, 4, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 9, 2, 2, 4, 4, 0, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 0, 0, 4, 4, 5, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 5, 2, 1, 2, 2, 0, 0, 5, 5, 3, 3, 3, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 5, 2, 1, 2, 2, 2, 2, 5, 2, 2, 5, 5, 0, 2, 1, 0, 0 ]
[ 1070, 5034, 3209, 32, 2516, 1188, 15728, 203, 21385, 69, 280, 301, 284, 15728, 32, 54, 43324, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 11215, 370, 330, 17299, 1212, 6636, 1425, 284, 15728, 32, 6142, 36, 81, 2045, 81, 45862, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 735, 36, 370, 330, 6142, 36, 1212, 6636, 1425, 284, 15728, 32, 6142, 36, 81, 22295, 81, 37899, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 735, 36, 370, 330, 6142, 36, 22295, 1212, 6636, 1425, 284, 15728, 32, 6142, 36, 81, 2045, 81, 37899, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 735, 36, 370, 330, 6142, 36, 2045, 26007, 1212, 6636, 1425, 284, 15728, 32, 55, 2955, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 735, 98, 370, 330, 55, 2955, 1212, 6636, 1425, 284, 15728, 32, 6990, 31241, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 1704, 3365, 370, 330, 6098, 3552, 1212, 6636, 1425, 284, 15728, 32, 68, 3277, 13184, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 23280, 1166, 370, 330, 68, 459, 1166, 1212, 6636, 1425, 284, 15728, 32, 69, 3150, 55, 8472, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 6099, 2035, 370, 330, 10291, 2035, 1212, 6636, 1425, 284, 15728, 32, 72, 4238, 4773, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 46062, 1299, 370, 330, 72, 4238, 3575, 1212, 6636, 1425, 284, 15728, 32, 7720, 42372, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 1800, 402, 370, 330, 7366, 402, 1212, 6636, 1425, 284, 15728, 32, 68, 2331, 71, 8472, 1392, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 344, 6974, 35232, 370, 330, 68, 39951, 29285, 1212, 6636, 1425, 284, 15728, 32, 6820, 74, 2146, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 36637, 370, 330, 36096, 1212, 6636, 1425, 284, 15728, 32, 69, 2109, 6044, 2730, 527, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 1685, 1823, 370, 330, 14986, 4772, 1212, 6636, 1425, 284, 15728, 32, 22295, 12550, 13794, 2045, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 735, 36, 370, 330, 55, 1008, 1212, 6636, 1425, 284, 15728, 32, 36671, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 16110, 81, 101, 3590, 370, 330, 36671, 1212, 6636, 1425, 284, 15728, 32, 10933, 3567, 52, 32887, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 1676, 96, 45849, 370, 330, 2961, 64, 45849, 1212, 6636, 1425, 284, 15728, 32, 54, 12111, 8472, 44, 291, 2726, 1356, 3209, 32, 18150, 32, 42972, 2035, 370, 330, 54, 1051, 2035, 1212, 6636, 1425, 203, 111, 203, 589, 622, 81, 5350, 26, 6385, 711, 284, 415, 6887, 328, 32822, 1971, 69, 44, 291, 2047, 81, 426, 30, 5398, 81, 426, 280, 32822, 1971, 69, 77, 6385, 79, 291, 617, 1803, 280, 1156, 465, 3207, 1803, 81, 426, 30, 27311, 1026, 28363, 1026, 428, 5350, 81, 426, 1130, 291, 442, 18623, 2176, 1803, 30, 5398, 81, 426, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 2, 2, 3, 3, 5, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 3, 3, 5, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 3, 3, 5, 6, 6, 6, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 5, 3, 3, 3, 8, 8, 7, 7, 8, 8, 6, 6, 8, 8, 7, 8, 7, 4, 4, 7, 6, 6, 8, 8, 9, 9, 9, 8, 8, 10, 8, 10, 8, 10, 10, 10, 9, 4, 4, 5, 7, 8, 7, 7, 8, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 11, 11, 11, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 13, 13, 13, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 15, 15, 15, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 17, 17, 17, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 19, 19, 19, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 21, 21, 21, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 23, 23, 23, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 25, 25, 25, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 27, 27, 27, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 29, 29, 29, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 31, 31, 31, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 33, 33, 33, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 3, 3, 2, 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, 0, 0, 0, 0, 0 ]
[ 24021, 2893, 280, 1524, 203, 1559, 203, 1647, 44, 2163, 35380, 203, 2116, 44, 284, 429, 330, 75, 7677, 57, 7877, 59, 37212, 4980, 11931, 107, 3633, 89, 45685, 9905, 203, 9971, 81, 10270, 81, 9854, 44, 284, 429, 2276, 284, 429, 6042, 203, 4021, 81, 2310, 44, 14621, 33, 1877, 33, 2546, 312, 1344, 2163, 4511, 6178, 19028, 810, 10029, 5430, 32, 203, 1648, 81, 11043, 44, 330, 36, 32, 34, 25, 203, 2310, 44, 334, 429, 1348, 2297, 1098, 5551, 33, 1877, 33, 2546, 312, 2163, 432, 6959, 31, 928, 1344, 284, 6178, 19028, 810, 3115, 6766, 10029, 5430, 32, 203, 8886, 44, 334, 429, 1348, 2297, 9567, 1505, 2926, 32, 334, 429, 5076, 1471, 330, 1793, 22801, 25, 23737, 526, 18934, 688, 415, 844, 745, 646, 739, 312, 5799, 3634, 322, 2163, 1098, 526, 30799, 544, 2504, 13330, 32, 203, 2184, 44, 334, 3466, 44, 284, 20664, 44, 428, 636, 30, 3466, 761, 1481, 284, 2129, 44, 861, 284, 3048, 44, 397, 429, 886, 803, 372, 5351, 32, 334, 1603, 44, 284, 2129, 44, 901, 284, 16682, 44, 428, 5024, 30, 40118, 1481, 284, 1244, 44, 5024, 284, 3048, 44, 397, 429, 14071, 322, 2163, 1395, 526, 2017, 556, 646, 32, 334, 10029, 44, 284, 2129, 44, 901, 284, 1244, 44, 5307, 301, 1826, 111, 31850, 14507, 33330, 1614, 1345, 20313, 25, 284, 3048, 44, 397, 429, 886, 10029, 1628, 3079, 32, 291, 10698, 1826, 3845, 1098, 526, 14171, 623, 313, 12185, 20, 556, 313, 3285, 2296, 334, 2163, 44, 284, 20664, 44, 428, 1795, 1481, 284, 2129, 44, 901, 284, 1244, 44, 4247, 284, 3048, 44, 397, 429, 886, 1344, 372, 5551, 6517, 322, 10029, 5430, 32, 291, 1670, 561, 1182, 5816, 556, 600, 3502, 802, 30, 291, 322, 2163, 1098, 526, 6556, 619, 415, 390, 26, 1293, 27, 4528, 3191, 372, 390, 26, 3596, 304, 547, 334, 19928, 1349, 1985, 44, 284, 2129, 44, 901, 284, 1244, 44, 21008, 284, 3048, 44, 397, 429, 1670, 3191, 30, 322, 2163, 1098, 526, 17816, 2685, 322, 2401, 2530, 432, 291, 3191, 10605, 6101, 32, 399, 7456, 786, 438, 3304, 45, 390, 26, 9471, 27, 436, 291, 40034, 322, 2163, 821, 322, 943, 432, 322, 803, 32, 225, 1670, 3191, 10605, 291, 2910, 575, 285, 1401, 1289, 8001, 30, 390, 26, 9471, 27, 1098, 526, 1654, 4174, 32, 284, 16682, 44, 428, 330, 9471, 370, 13838, 7920, 37849, 1481, 334, 5551, 5553, 44, 284, 2129, 44, 901, 284, 1244, 44, 1665, 284, 3048, 44, 397, 429, 1670, 3191, 30, 322, 2163, 1098, 526, 17816, 2670, 322, 2401, 2530, 432, 291, 3191, 10605, 6101, 32, 399, 7456, 786, 438, 3304, 45, 390, 26, 52, 2109, 27, 436, 291, 40034, 322, 2163, 821, 322, 13672, 432, 322, 803, 32, 225, 1670, 3191, 10605, 291, 2910, 575, 285, 1401, 1289, 8001, 30, 322, 2163, 1098, 526, 17816, 821, 322, 943, 432, 322, 291, 803, 32, 284, 16682, 44, 428, 330, 52, 2109, 370, 13838, 7920, 37849, 1481, 334, 1487, 44, 284, 2129, 44, 901, 284, 1244, 44, 330, 1347, 25, 284, 16682, 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 ]
[ 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, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 2361, 203, 823, 32577, 44, 203, 202, 589, 1156, 1664, 3207, 784, 711, 357, 202, 784, 32, 106, 81, 1366, 280, 225, 34, 357, 202, 784, 32, 106, 81, 416, 280, 225, 34, 357, 202, 784, 32, 107, 81, 1366, 280, 225, 34, 357, 202, 784, 32, 107, 81, 416, 280, 225, 34, 357, 202, 784, 32, 2705, 280, 225, 34, 357, 202, 784, 32, 1489, 280, 3432, 955, 2009, 34, 30, 34, 30, 34, 1130, 15773, 202, 589, 739, 18598, 26, 784, 30, 328, 81, 106, 81, 1366, 30, 328, 81, 106, 81, 416, 30, 328, 81, 107, 81, 1366, 30, 266, 81, 107, 81, 416, 711, 357, 202, 784, 32, 106, 81, 1366, 280, 328, 81, 106, 81, 1366, 357, 202, 784, 32, 106, 81, 416, 280, 328, 81, 106, 81, 416, 357, 202, 784, 32, 107, 81, 1366, 280, 328, 81, 107, 81, 1366, 357, 202, 784, 32, 107, 81, 416, 280, 328, 81, 107, 81, 416, 203, 202, 589, 1459, 6189, 26, 784, 711, 357, 202, 1216, 313, 1231, 3037, 1717, 630, 32, 2705, 1717, 13701, 429, 2884, 1717, 630, 32, 106, 81, 1366, 1717, 313, 1717, 313, 1717, 630, 32, 106, 81, 416, 1717, 7788, 1717, 1410, 10788, 630, 32, 107, 81, 1366, 1717, 313, 1717, 313, 1717, 630, 32, 107, 81, 416, 1717, 35074, 203, 202, 589, 420, 6979, 81, 452, 81, 2665, 26, 784, 711, 357, 202, 601, 5436, 26, 16516, 280, 225, 7818, 26, 784, 32, 106, 81, 1366, 30, 38, 471, 7091, 280, 7818, 26, 784, 32, 106, 81, 416, 30, 38, 490, 203, 202, 589, 354, 6979, 81, 452, 81, 2665, 26, 784, 711, 357, 202, 601, 5436, 26, 16516, 280, 225, 7818, 26, 784, 32, 107, 81, 1366, 30, 38, 471, 7091, 280, 7818, 26, 784, 32, 107, 81, 416, 30, 38, 490, 15773, 202, 589, 372, 81, 1260, 81, 800, 26, 784, 711, 357, 202, 601, 2361, 32, 16958, 26, 784, 32, 104, 6979, 81, 452, 81, 2665, 1026, 3323, 81, 3494, 47, 2700, 30, 9378, 47, 38, 30, 5456, 4044, 4310, 370, 370, 14589, 41964, 203, 202, 589, 739, 81, 1489, 26, 784, 30, 1092, 30, 9733, 30, 10087, 711, 357, 202, 325, 3346, 848, 225, 36, 39, 39, 556, 3346, 333, 225, 34, 556, 9733, 848, 225, 36, 39, 39, 556, 9733, 333, 225, 34, 556, 10087, 848, 225, 36, 39, 39, 556, 10087, 333, 225, 34, 499, 355, 202, 13225, 313, 27124, 2078, 308, 12172, 526, 3733, 333, 34, 30, 36, 39, 39, 5844, 357, 202, 1824, 44, 355, 202, 784, 32, 1489, 280, 3432, 955, 2009, 1092, 30, 6555, 30, 5466, 1130, 202, 203, 823, 32577, 7418, 44, 203, 202, 589, 1156, 1664, 3207, 784, 30, 1289, 81, 1028, 81, 1231, 101, 711, 357, 202, 784, 32, 2171, 81, 1028, 81, 1231, 101, 280, 1289, 81, 1028, 81, 1231, 101, 357, 202, 784, 32, 1231, 101, 280, 1605, 357, 202, 784, 32, 2881, 280, 225, 34, 203, 202, 589, 4450, 81, 3086, 26, 784, 30, 310, 362, 81, 10630, 30, 310, 362, 81, 10163, 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, 1, 3, 3, 4, 4, 5, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 4, 4, 8, 7, 8, 6, 6, 7, 4, 4, 8, 7, 8, 6, 6, 8, 8, 10, 9, 10, 9, 10, 9, 2, 2, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 3, 3, 8, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 8, 7, 8, 8, 8, 6, 6, 7, 7, 7, 7, 2, 2, 3, 3, 4, 4, 5, 4, 3, 3, 5, 5, 7, 7, 5, 5, 6, 7, 5, 5, 7, 7, 5, 5, 6, 7, 7, 7, 5, 5, 7, 7, 5, 5, 6, 7, 7, 7, 5, 5, 7, 7, 7, 5, 6, 7, 7, 7, 5, 5, 7, 7, 5, 5, 6, 7, 7, 7, 5, 5, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 7, 9, 8, 8, 8, 10, 12, 11, 12, 12, 12, 10, 11, 10, 7, 8, 8, 10, 12, 11, 12, 12, 12, 10, 11, 10, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 7, 9, 8, 8, 8, 10, 12, 11, 12, 12, 12, 10, 11, 10, 7, 8, 8, 10, 12, 11, 12, 12, 12, 10, 11, 10, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 5, 7, 8, 7, 10, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 8, 9, 7, 9, 8, 9, 7, 7, 9, 8, 11, 11, 9, 11, 2, 2, 3, 3, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 11, 11, 12, 12, 12, 10, 10, 11, 11, 12, 9, 9, 10, 10, 11, 11, 11, 8, 8, 9, 9, 10, 7, 7, 8, 8, 9, 9, 9, 6, 6, 7, 7, 8, 5, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 6, 6, 6, 6, 11, 10, 11, 9, 9, 11, 11, 13, 12, 13, 12, 13, 12, 0, 0, 1, 1, 2, 1, 1, 1, 3, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 4, 3, 3, 8, 7, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 8, 7, 8, 8, 6, 6, 4, 4, 8, 7, 8, 6, 6, 7, 2, 2, 3, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 4 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 0, 1, 1, 1, 3, 1, 5, 1, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 2, 2, 7, 7, 7, 7, 2, 9, 9, 9, 9, 9, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 3, 3, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 3, 2, 0, 0, 1, 1, 0, 0, 7, 2, 2, 2, 0, 0, 1, 1, 0, 0, 11, 2, 2, 2, 0, 0, 1, 1, 1, 0, 15, 2, 2, 2, 0, 0, 1, 1, 0, 0, 19, 2, 2, 2, 0, 0, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 3, 1, 1, 3, 3, 1, 0, 1, 2, 2, 2, 1, 3, 1, 3, 3, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 3, 1, 1, 3, 3, 1, 0, 1, 2, 2, 2, 1, 3, 1, 3, 3, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 3, 2, 1, 0, 5, 2, 1, 1, 0, 7, 0, 2, 2, 1, 3, 3, 6, 6, 1, 1, 2, 1, 2, 3, 2, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 4, 0, 0, 2, 0, 0, 0, 1, 1, 1, 3, 1, 5, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 2, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 2 ]
[ 1070, 1156, 9666, 505, 1188, 34380, 203, 505, 2116, 505, 280, 313, 9746, 87, 570, 1582, 271, 716, 308, 3597, 87, 50, 2400, 13578, 32, 1088, 4731, 203, 505, 11794, 505, 280, 313, 10581, 225, 36, 34, 34, 40, 30, 13913, 87, 570, 1582, 271, 716, 20, 203, 505, 24206, 505, 280, 3037, 1027, 13153, 551, 3743, 265, 308, 102, 32, 84, 3743, 265, 50, 2159, 1837, 32, 1299, 5715, 284, 313, 48394, 16376, 728, 392, 284, 313, 74, 39788, 676, 2972, 101, 506, 846, 2144, 392, 284, 313, 47529, 25631, 15311, 266, 14885, 392, 284, 313, 3716, 1998, 2523, 2461, 329, 392, 284, 313, 28984, 15250, 392, 284, 313, 62, 644, 297, 489, 107, 486, 2106, 89, 873, 1446, 203, 505, 2077, 505, 280, 313, 6675, 20, 203, 505, 1648, 505, 280, 313, 34, 32, 41, 32, 36, 20, 203, 465, 316, 203, 465, 5237, 203, 465, 4096, 203, 465, 4096, 32, 2755, 203, 465, 4096, 32, 1175, 203, 465, 4096, 32, 8357, 2825, 203, 465, 44524, 203, 465, 24297, 203, 465, 36252, 203, 465, 1913, 1356, 203, 465, 1984, 2208, 203, 465, 1695, 40, 38, 203, 465, 2322, 203, 465, 1933, 203, 465, 14461, 203, 465, 1133, 203, 465, 3995, 203, 465, 19493, 203, 1270, 44, 284, 645, 42406, 1188, 9637, 35, 619, 617, 5567, 30, 8735, 39, 619, 617, 954, 39, 203, 7343, 29986, 44, 284, 1188, 9637, 284, 1188, 8735, 39, 284, 617, 5567, 280, 9637, 32, 890, 284, 617, 954, 39, 280, 8735, 39, 32, 890, 203, 465, 48088, 203, 1070, 40946, 1188, 40946, 619, 617, 203, 465, 6234, 203, 1270, 44, 284, 645, 1913, 1356, 36, 1188, 13363, 101, 203, 7343, 29986, 44, 284, 13363, 101, 280, 1665, 203, 1270, 44, 284, 1188, 17778, 3701, 17778, 81, 1706, 43189, 280, 17778, 32, 1706, 43189, 284, 665, 617, 6482, 81, 4071, 81, 4817, 26, 9184, 30, 1202, 81, 761, 30, 6445, 81, 761, 30, 656, 7378, 81, 6460, 30, 7450, 81, 23545, 711, 291, 415, 7378, 81, 6460, 44, 324, 6445, 81, 47297, 280, 17778, 32, 21729, 81, 8467, 291, 813, 44, 324, 6445, 81, 47297, 280, 17778, 32, 21729, 81, 22453, 291, 442, 17778, 32, 4071, 81, 4817, 26, 9184, 30, 1202, 761, 47, 678, 81, 761, 30, 6445, 761, 47, 6989, 81, 761, 30, 7686, 6445, 81, 47297, 47, 6989, 81, 47297, 30, 7450, 81, 23545, 47, 1173, 81, 23545, 27, 203, 7343, 308, 2212, 924, 30, 29986, 711, 284, 17778, 81, 1706, 43189, 280, 1665, 284, 665, 617, 6482, 81, 4071, 81, 4817, 26, 9184, 30, 1202, 81, 761, 30, 6445, 81, 761, 30, 656, 7378, 81, 6460, 30, 7450, 81, 23545, 711, 291, 415, 646, 7378, 81, 6460, 44, 324, 3636, 22618, 6312, 16746, 26, 528, 313, 10079, 10282, 6850, 438, 646, 5420, 2876, 313, 528, 313, 1382, 17778, 2297, 6713, 32, 2614, 7358, 458, 1048, 30, 2443, 313, 528, 313, 1382, 17778, 2297, 30, 556, 2910, 15742, 7378, 6850, 7144, 291, 17778, 81, 9184, 280, 6234, 32, 6482, 26, 9184, 30, 1202, 81, 761, 30, 6445, 81, 761, 27, 291, 442, 1913 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 3, 6, 4, 4, 5, 3, 3, 6, 4, 4, 5, 5, 1, 2, 2, 2, 2, 2, 4, 3, 3, 4, 6, 3, 3, 6, 5, 5, 6, 7, 3, 3, 6, 6, 5, 5, 7, 6, 7, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 3, 5, 5, 3, 3, 5, 1, 2, 2, 2, 2, 2, 6, 5, 5, 0, 1, 1, 1, 1, 3, 2, 2, 5, 5, 5, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 6, 6, 5, 5, 5, 9, 9, 8, 8, 9, 10, 10, 10, 5, 5, 6, 6, 6, 10, 10, 9, 9, 10, 11, 11, 11, 4, 4, 5, 7, 8, 8, 8, 7, 8, 7, 7, 9, 8, 9, 9, 9, 7, 7, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 1, 2, 2, 4, 4, 3, 3, 3, 2, 2, 6, 6, 6, 5, 5, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 5, 6, 6, 5, 5, 6, 6, 5, 4, 4, 6, 7, 8, 8, 6, 6, 6, 8, 10, 10, 10, 10, 10, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 5, 5, 8, 8, 7, 7, 9, 10, 9, 10, 9, 9, 10, 10, 9, 9, 10, 10, 9, 5, 5, 6 ]
[ 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, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 1, 2, 0, 10, 10, 1, 2, 0, 11, 11, 1, 2, 2, 0, 12, 12, 0, 13, 13, 0, 14, 14, 0, 15, 15, 0, 0, 16, 16, 0, 0, 17, 17, 0, 0, 0, 18, 18, 0, 19, 19, 0, 20, 20, 0, 21, 21, 0, 22, 22, 0, 23, 23, 0, 24, 24, 24, 24, 0, 0, 0, 0, 3, 3, 2, 0, 0, 0, 5, 5, 2, 2, 24, 3, 3, 3, 3, 3, 0, 3, 3, 1, 0, 3, 3, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 0, 25, 25, 0, 26, 26, 26, 26, 3, 3, 0, 27, 27, 0, 28, 28, 28, 28, 0, 0, 0, 0, 0, 0, 28, 3, 3, 3, 3, 3, 0, 0, 0, 0, 29, 29, 29, 29, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 3, 2, 2, 2, 1, 1, 0, 5, 2, 2, 2, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 0, 0, 9, 2, 2, 2, 1, 29, 3, 3, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 3, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 2, 7, 7, 2, 2, 9, 9, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 2 ]
[ 1070, 23122, 1356, 32, 4756, 81, 6385, 1188, 37884, 66, 81, 2474, 203, 1070, 23122, 1356, 32, 4756, 81, 6385, 1188, 37884, 66, 81, 2474, 81, 18004, 3204, 69, 203, 1070, 23122, 1356, 32, 4756, 81, 6385, 1188, 37884, 66, 81, 4431, 81, 4780, 81, 14401, 19930, 203, 1070, 23122, 1356, 32, 4756, 81, 6385, 1188, 16901, 2570, 203, 1070, 23122, 1356, 32, 4756, 81, 6385, 1188, 37884, 66, 81, 6016, 203, 1070, 23122, 1356, 32, 4756, 81, 6385, 1188, 16901, 620, 203, 1070, 23122, 1356, 32, 4756, 81, 6385, 1188, 37884, 66, 81, 2319, 203, 81, 43040, 81, 4756, 81, 878, 280, 308, 2993, 203, 46, 52, 48, 9425, 11483, 377, 52, 48, 334, 1670, 844, 793, 23122, 1040, 328, 7622, 11351, 8253, 308, 21886, 619, 34474, 556, 334, 24830, 5075, 21124, 432, 706, 2504, 19212, 471, 2017, 884, 312, 1451, 432, 6366, 334, 844, 883, 745, 372, 3049, 7279, 3117, 32, 25081, 1247, 30, 458, 4169, 8986, 1464, 334, 2624, 372, 3261, 7622, 11351, 8253, 6835, 23122, 1040, 1182, 736, 378, 444, 8872, 334, 17016, 32, 203, 46, 52, 48, 40581, 5701, 11567, 2347, 2147, 43128, 8915, 69, 377, 52, 48, 334, 8819, 30, 561, 1182, 17247, 372, 7648, 23122, 1040, 1182, 736, 378, 444, 8872, 17016, 30, 334, 461, 2624, 1370, 3261, 5652, 372, 526, 7586, 6835, 458, 17016, 372, 1389, 334, 20611, 5706, 32, 23122, 1040, 5251, 322, 736, 378, 444, 8872, 2193, 328, 322, 36387, 4253, 334, 1412, 844, 11549, 372, 7623, 556, 5822, 312, 803, 14324, 2784, 312, 20652, 334, 10084, 308, 1170, 1244, 30, 458, 10084, 438, 225, 35, 3347, 547, 5076, 312, 8872, 8158, 334, 1742, 3073, 3919, 308, 87, 32, 89, 4317, 3301, 432, 600, 1426, 44141, 304, 3984, 3708, 471, 334, 36387, 5251, 312, 3995, 1191, 5298, 41655, 46036, 31, 363, 31, 13558, 13689, 44, 334, 4465, 312, 3995, 7918, 3733, 428, 34, 497, 35, 79, 6791, 461, 11322, 45, 415, 688, 8158, 30, 334, 4465, 312, 3995, 7918, 3733, 428, 34, 497, 36, 79, 6791, 461, 11322, 45, 461, 415, 688, 334, 8158, 30, 4465, 312, 3995, 7918, 3733, 428, 34, 497, 38, 79, 6791, 30, 461, 1259, 544, 30, 973, 372, 312, 334, 20652, 1451, 432, 6496, 308, 1382, 1244, 438, 225, 40, 6496, 547, 23156, 30, 322, 11322, 334, 6723, 34157, 312, 3995, 1191, 7918, 973, 372, 225, 35, 29, 36, 29, 38, 29, 42, 29, 35, 40, 29, 37, 36, 47, 40, 37, 6791, 32, 334, 1670, 322, 8872, 8158, 2504, 432, 3282, 20130, 623, 1289, 1426, 2465, 299, 334, 6538, 30, 23122, 1040, 13344, 973, 544, 322, 8872, 30, 1273, 24256, 312, 313, 13610, 20, 803, 334, 436, 561, 328, 312, 20652, 3894, 308, 1382, 1244, 3894, 438, 19371, 5360, 1040, 16334, 334, 328, 312, 803, 8189, 810, 312, 16579, 432, 322, 11858, 35, 3677, 432, 322, 636, 432, 322, 334, 8105, 461, 1300, 3998, 35581, 461, 322, 2401, 225, 35, 40, 7125, 432, 322, 334, 803, 636, 547, 5076, 44329, 3547, 328, 458, 36740, 30, 844, 883, 24635, 311, 23122, 1040, 334, 821, 1629, 6125, 1133 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 2, 2, 3, 3, 0, 0, 4, 4, 0, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 2, 2, 5, 5, 0, 0, 6, 6, 0, 1, 2, 2, 2, 6, 6, 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 ]
[ 505, 2116, 505, 280, 330, 1237, 32, 615, 404, 2709, 486, 50, 7253, 32, 508, 308, 60, 8643, 2415, 404, 9905, 203, 465, 2322, 203, 465, 5237, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 2524, 463, 497, 370, 31001, 370, 31001, 370, 31001, 2847, 203, 1070, 1544, 12813, 2175, 1188, 475, 4426, 1486, 203, 1070, 1544, 12813, 2175, 32, 1479, 98, 1188, 475, 4426, 2755, 203, 1580, 280, 475, 4426, 1486, 26, 983, 47, 500, 32, 983, 32, 2524, 463, 497, 370, 31001, 370, 31001, 370, 31001, 2847, 203, 1174, 81, 2122, 280, 2043, 32, 32415, 463, 2871, 1183, 370, 1503, 1057, 104, 36, 34, 35, 37, 34, 42, 683, 203, 10389, 280, 475, 4426, 2755, 32, 24630, 10497, 1083, 5495, 1554, 1183, 26, 1174, 81, 2122, 27, 203, 979, 2532, 328, 17588, 44, 334, 1459, 2726, 2871, 623, 804, 13894, 23, 101, 23954, 636, 13894, 23, 101, 23954, 461, 46347, 12058, 804, 13894, 23, 101, 6945, 1597, 330, 276, 330, 6264, 4564, 904, 308, 1174, 710, 314, 2188, 2532, 710, 426, 2188, 2532, 710, 47283, 12058, 606, 7698, 203, 1216, 203, 1216, 330, 1918, 432, 3276, 2431, 44, 904, 101, 25, 904, 2069, 26, 10389, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 6, 7, 5, 6, 5, 7, 7, 5, 7, 5, 7, 5, 7, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 6, 5, 9, 8, 9, 7, 8, 7, 9, 9, 7, 9, 7, 9, 7, 9, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 4, 5, 7, 7, 7, 7, 7, 7, 7, 7, 0, 3, 2, 2, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 4, 0, 1, 1, 1, 1, 1, 1, 1, 4, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 10, 9, 9, 7, 7, 9, 9, 6, 6, 9, 8, 10, 10, 7, 8, 10, 10, 7, 8, 10, 10, 10, 10, 0, 2, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 4, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 1, 2, 2, 5, 1, 1, 1, 2, 0, 0, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 10061, 910, 307, 1188, 15471, 203, 1819, 280, 1665, 203, 1001, 81, 2969, 81, 4792, 280, 3177, 203, 1526, 81, 2969, 81, 4792, 280, 3177, 203, 589, 4654, 81, 10069, 26, 3142, 81, 426, 711, 284, 5741, 32, 1338, 463, 22670, 21091, 1478, 5953, 904, 101, 370, 2869, 81, 426, 27, 284, 1596, 44, 291, 1519, 280, 15471, 32, 371, 81, 3142, 81, 983, 26, 3142, 81, 426, 27, 291, 415, 1519, 438, 1665, 44, 324, 442, 291, 15471, 32, 4526, 81, 2501, 463, 368, 991, 370, 2107, 31, 99, 370, 1519, 1130, 284, 2940, 3772, 984, 44, 291, 5741, 32, 731, 463, 5288, 372, 4654, 21091, 1478, 5953, 904, 101, 370, 2869, 81, 426, 27, 203, 589, 3219, 26, 2095, 30, 10061, 910, 307, 81, 1163, 30, 3973, 81, 1163, 711, 284, 3649, 1619, 284, 3649, 1406, 81, 2969, 81, 4792, 284, 3649, 2364, 81, 2969, 81, 4792, 284, 5741, 32, 2811, 463, 9962, 37393, 1478, 16001, 3973, 683, 284, 1619, 280, 3692, 284, 1406, 81, 2969, 81, 4792, 280, 3973, 81, 1163, 710, 1001, 81, 2969, 81, 4792, 785, 284, 2364, 81, 2969, 81, 4792, 280, 3973, 81, 1163, 710, 1526, 81, 2969, 81, 4792, 785, 203, 589, 544, 81, 1001, 81, 2969, 26, 2969, 81, 2067, 711, 284, 415, 1406, 81, 2969, 81, 4792, 44, 291, 4654, 81, 10069, 463, 267, 81, 1001, 81, 2969, 32, 18448, 683, 203, 589, 544, 81, 4048, 81, 2969, 2262, 284, 415, 1619, 710, 34106, 785, 556, 1619, 710, 1526, 98, 11743, 785, 556, 646, 2364, 81, 2969, 81, 4792, 44, 291, 442, 284, 4654, 81, 10069, 463, 267, 81, 4048, 81, 2969, 32, 18448, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 5, 2, 2, 3, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 7, 10, 10, 10, 8, 8, 3, 3, 4, 5, 4, 4, 4, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 9, 8, 0, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 2, 2, 3, 4, 4, 4, 4, 2, 2, 3, 4, 4, 4, 4, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 2, 2, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 5, 7, 7, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 3, 3, 3, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 6, 8, 8, 5, 5, 6, 8, 8, 8, 8, 4, 4, 5, 6, 6, 6, 6, 3, 3, 3, 2, 2, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 3, 1, 1, 3, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 0, 6, 6, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 2, 6, 6, 0, 4, 4, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 8, 8, 1, 1, 1, 1, 2, 8, 8, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 16539, 203, 1070, 42388, 1036, 95, 1188, 1503, 203, 505, 2116, 505, 280, 330, 54, 956, 278, 488, 6391, 431, 333, 86, 956, 278, 32, 4229, 274, 431, 50, 94, 9839, 32, 1088, 6457, 203, 505, 1648, 505, 280, 1503, 32, 1648, 203, 589, 8839, 81, 8144, 26, 13425, 30, 2179, 81, 711, 284, 8839, 280, 2107, 6580, 370, 11363, 541, 31, 1643, 370, 330, 916, 370, 11363, 8144, 370, 2179, 3739, 353, 11363, 3221, 31, 2079, 370, 11363, 9854, 370, 11363, 1131, 370, 16765, 79, 284, 1596, 44, 291, 2164, 280, 16539, 32, 45606, 26, 6580, 30, 12532, 47, 27958, 32, 18165, 30, 9111, 16154, 47, 27958, 32, 18165, 27, 284, 2940, 546, 21887, 44, 291, 623, 2156, 26, 13425, 30, 330, 100, 683, 619, 296, 2067, 44, 324, 442, 296, 2067, 32, 850, 346, 284, 813, 44, 291, 963, 30, 1137, 280, 2164, 32, 508, 48275, 346, 291, 415, 2164, 32, 601, 687, 863, 225, 34, 44, 324, 623, 2156, 26, 13425, 30, 330, 100, 683, 619, 296, 2067, 44, 400, 442, 296, 2067, 32, 850, 346, 291, 813, 44, 324, 442, 963, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 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, 0, 3, 3, 3, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 6, 5, 5, 7, 7, 7, 7, 5, 7, 7, 5, 7, 7, 5, 5, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 8, 9, 11, 10, 11, 8, 8, 8, 9, 11, 10, 11, 8, 3, 3, 4, 5, 4, 4, 4, 6, 11, 12, 11, 11, 13, 13, 9, 9, 11, 6, 6, 6, 8, 11, 10, 11, 10, 3, 3, 4, 4, 4, 8, 8, 7, 7, 9, 10, 10, 9, 5, 5, 6, 8, 9, 9, 7, 7, 8, 6, 6, 6, 8, 13, 14, 13, 13, 15, 15, 11, 11, 13, 8, 8, 8, 10, 13, 12, 13, 12, 6, 6, 7, 7, 7, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 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, 0, 0, 0, 0, 0, 0, 2, 2, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 2, 4, 4, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 9, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 1, 5, 0, 2, 2, 1, 1, 1, 3, 1, 3, 3, 3, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 37632, 14507, 81, 26580, 280, 5053, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 370, 528, 330, 1648, 950, 330, 35, 32, 34, 6040, 203, 24021, 2893, 280, 1524, 203, 1559, 203, 1647, 44, 3555, 9403, 40, 81, 2501, 203, 1648, 81, 11043, 44, 313, 36, 32, 36, 20, 203, 4021, 81, 2310, 44, 4489, 6350, 544, 6562, 9241, 3974, 475, 1030, 6642, 40, 203, 2310, 44, 334, 429, 42710, 16932, 6350, 372, 312, 475, 1030, 6642, 40, 1541, 461, 3217, 322, 3276, 284, 1491, 645, 322, 3298, 32, 886, 488, 26, 4025, 9403, 40, 81, 2501, 27, 2297, 8600, 600, 284, 2793, 688, 1098, 5749, 322, 2297, 372, 4465, 436, 312, 2818, 3700, 284, 2670, 14116, 556, 21431, 963, 415, 322, 3700, 438, 646, 3279, 32, 334, 429, 1348, 2297, 1957, 646, 2193, 3974, 6350, 328, 3488, 2926, 32, 284, 5294, 793, 488, 26, 4025, 9403, 40, 81, 1163, 27, 372, 8488, 475, 1030, 6642, 40, 9241, 32, 203, 9971, 81, 10270, 81, 9854, 44, 3555, 9403, 40, 203, 2184, 44, 334, 6350, 44, 284, 3048, 44, 397, 429, 1682, 432, 6350, 372, 3240, 372, 322, 6562, 3555, 9403, 40, 3298, 2288, 322, 291, 9577, 6887, 32, 886, 14302, 1688, 645, 322, 2016, 291, 438, 4717, 32, 1670, 322, 439, 26, 1684, 81, 979, 27, 2793, 438, 3943, 30, 322, 291, 2297, 438, 646, 4717, 6222, 322, 3700, 438, 28892, 556, 291, 322, 1451, 432, 439, 26, 31039, 27, 619, 22054, 32, 284, 2129, 44, 861, 334, 4465, 81, 979, 44, 284, 3048, 44, 397, 429, 1682, 432, 5479, 372, 13396, 8187, 322, 1688, 432, 322, 291, 2016, 32, 886, 2899, 1098, 4465, 436, 2504, 3700, 372, 526, 861, 291, 2670, 14089, 7386, 32, 1670, 322, 21161, 438, 646, 861, 291, 4797, 322, 9577, 1451, 432, 439, 26, 31039, 471, 322, 2899, 8158, 32, 291, 2802, 8272, 32, 284, 2129, 44, 901, 284, 1244, 44, 744, 334, 28336, 44, 284, 3048, 44, 397, 429, 19009, 322, 1451, 432, 28336, 312, 2016, 1395, 526, 8855, 291, 2670, 561, 438, 11870, 3803, 32, 886, 2016, 438, 1420, 544, 322, 291, 1760, 3298, 3638, 11322, 461, 22423, 8187, 322, 291, 439, 26, 1684, 81, 979, 27, 5479, 32, 284, 2129, 44, 901, 284, 1244, 44, 225, 35, 34, 334, 7898, 44, 284, 3048, 44, 397, 429, 3383, 3009, 322, 7898, 328, 6791, 372, 4465, 3733, 28336, 291, 432, 322, 2016, 32, 1670, 322, 2016, 1957, 646, 3097, 322, 3191, 291, 5479, 30, 322, 7898, 11987, 2624, 1946, 372, 4465, 2670, 291, 7667, 322, 2016, 4056, 32, 284, 2129, 44, 901, 284, 1244, 44, 225, 35, 203, 2993, 203, 1460, 39189, 280, 1524, 203, 21, 5830, 44, 8272, 4794, 793, 322, 2412, 6887, 5436, 372, 2887, 203, 21, 958, 11337, 461, 9156, 372, 322, 1541, 32, 203, 6862, 44, 334, 9195, 44, 284, 3408, 44, 17610, 17041, 81, 12256, 7397, 284, 952, 44, 5605, 284, 3882, 44, 5605, 284, 11337, 44, 9195, 203, 8246, 44, 203, 429, 636, 44, 1420, 2519, 1503, 544, 6562, 9241, 664, 3555, 9403, 40, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 2, 2, 6, 6, 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, 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 ]
[ 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, 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 ]
[ 1070, 8527, 32, 12023, 32, 2393, 1188, 622, 81, 496, 81, 1160, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 11400, 1188, 10156, 203, 1240, 280, 622, 81, 496, 81, 1160, 346, 203, 823, 2108, 12028, 26, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2680, 32, 5740, 32, 1297, 81, 39744, 26, 324, 952, 1057, 2300, 370, 3882, 1057, 24454, 370, 4096, 1057, 2300, 50, 2300, 32, 508, 25, 291, 829, 284, 665, 894, 81, 3968, 81, 38, 34, 37, 26, 784, 711, 291, 1789, 280, 630, 32, 1580, 32, 371, 26, 9833, 463, 2300, 44, 3968, 2847, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 38, 34, 37, 27, 291, 630, 32, 33966, 463, 731, 370, 1789, 32, 1260, 1157, 284, 665, 894, 81, 3968, 81, 36, 34, 34, 26, 784, 711, 291, 630, 32, 1580, 32, 5538, 81, 3615, 26, 1240, 32, 5740, 32, 371, 26, 3174, 47, 35, 490, 291, 1789, 280, 630, 32, 1580, 32, 371, 26, 9833, 463, 2300, 44, 3968, 2847, 291, 630, 32, 5299, 26, 1986, 32, 1517, 81, 687, 30, 225, 36, 34, 34, 27, 291, 630, 32, 33966, 463, 1299, 1260, 1163, 32, 2961, 73, 2051, 370, 1789, 32, 1260, 1157, 284, 665, 894, 81, 3968, 81, 12256, 81, 3864, 26, 784, 711, 291, 645, 4377, 4338, 1188, 3304, 81, 14331, 291, 436, 1202, 30, 5365, 328, 3304, 81, 14331, 32, 3028, 2262, 324, 415, 330, 8304, 25, 646, 328, 5365, 710, 4642, 12132, 400, 4036, 324, 415, 330, 12256, 25, 328, 5365, 710, 4642, 4902, 8304, 4902, 4642, 12132, 400, 630, 32, 5066, 463, 12256, 2804, 2298, 526, 6826, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 7, 7, 8, 10, 10, 7, 8, 10, 10, 7, 8, 10, 10, 10, 10, 10, 10, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 10, 10, 12, 12, 12, 12, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 7, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 11, 10, 11, 9, 10, 9, 11, 10, 11, 9, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 12, 12, 12, 12, 4, 4, 7, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 5, 5, 7, 7, 4, 4, 5, 6, 6, 5, 5, 8, 8, 7, 8, 7, 5, 5, 7, 10, 10, 8, 8, 8, 9, 11, 11, 7, 7, 6, 6, 7, 10, 10, 8, 8, 11, 13, 13, 12, 12, 11, 11, 7, 7, 11, 12, 11, 13, 13, 13, 13, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 2, 1, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 5, 5, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 13092, 203, 1070, 540, 1226, 615, 812, 32, 4485, 2285, 1188, 9296, 2710, 30, 665, 81, 16000, 4279, 30, 665, 81, 30023, 2105, 203, 1070, 540, 1226, 615, 812, 32, 5536, 1188, 3995, 81, 16000, 4279, 30, 9173, 81, 30023, 543, 30, 9173, 81, 30023, 2105, 203, 50, 12408, 32, 1826, 32, 28913, 440, 91, 392, 2155, 26, 35, 34, 34, 490, 203, 589, 894, 81, 3855, 81, 16000, 4279, 26, 91, 711, 284, 1374, 280, 9296, 2710, 346, 284, 15337, 280, 3995, 81, 16000, 4279, 26, 2285, 30, 225, 35, 34, 27, 284, 1201, 6937, 26, 12133, 30, 1149, 27, 284, 1201, 313, 6746, 20, 328, 15337, 284, 1201, 1665, 646, 328, 15337, 284, 1201, 2069, 26, 12133, 27, 2511, 225, 35, 34, 284, 436, 310, 17345, 328, 15337, 44, 291, 1201, 310, 17345, 328, 665, 81, 16000, 4279, 346, 203, 50, 12408, 32, 1826, 32, 28913, 440, 91, 392, 2155, 26, 35, 34, 34, 490, 203, 589, 894, 81, 3855, 81, 16000, 4279, 81, 1366, 678, 26, 91, 711, 284, 1374, 280, 9296, 2710, 346, 284, 15337, 280, 3995, 81, 16000, 4279, 26, 2285, 30, 225, 35, 34, 30, 313, 272, 16416, 469, 657, 284, 1201, 6937, 26, 12133, 30, 1149, 27, 284, 1201, 313, 272, 16416, 469, 20, 328, 15337, 284, 1201, 313, 6746, 20, 646, 328, 15337, 284, 1201, 1665, 646, 328, 15337, 284, 1201, 2069, 26, 12133, 27, 2511, 225, 35, 34, 284, 436, 310, 17345, 328, 15337, 44, 291, 1201, 310, 17345, 328, 665, 81, 16000, 4279, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 2, 6, 5, 6, 4, 5, 4, 6, 6, 4, 6, 7, 7, 7, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 7, 3, 3, 5, 5, 7, 7, 7, 7, 8, 7, 7, 8, 8, 7, 3, 3, 4, 6, 7, 6, 6, 6, 3, 3, 4, 7, 7, 5, 5, 3, 3, 4, 5, 5, 5, 3, 3, 4, 7, 8, 7, 5, 5, 6, 6, 3, 3, 4, 5, 4, 4, 4, 4, 4, 6, 8, 7, 7, 9, 9, 9, 9, 0, 2, 6, 5, 6, 4, 5, 4, 6, 6, 4, 6, 7, 7, 7, 6, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 5, 5, 7, 7, 3, 3, 5, 5, 7, 7, 7, 7, 8, 7, 7, 8, 8, 7, 7, 9, 9, 9, 9, 3, 3, 4, 6, 7, 6, 6, 6, 3, 3, 4, 7, 7, 7, 7, 5, 5, 3, 3, 4, 7, 7, 5, 5, 5, 3, 3, 4, 5, 5, 5, 3, 3, 4, 7, 8, 7, 5, 5, 6, 6, 3, 3, 4, 5, 4, 4, 4, 4, 4, 6, 8, 7, 7, 9, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 2, 1, 1, 4, 4, 4, 1, 1, 1, 4, 4, 5, 1, 1, 1, 1, 1, 2, 2, 4, 4, 6, 1, 6, 6, 6, 6, 6, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 1, 4, 4, 4, 1, 2, 1, 1, 1, 4, 4, 5, 1, 1, 1, 4, 4, 6, 1, 1, 1, 1, 1, 2, 2, 4, 4, 7, 1, 7, 7, 7, 7, 7, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1216, 4064, 1427, 8223, 203, 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 13134, 32, 15183, 1188, 2454, 81, 29051, 203, 1070, 13134, 32, 3242, 1188, 35732, 3350, 15401, 203, 96, 81, 4820, 280, 225, 37, 203, 3399, 81, 8717, 280, 313, 839, 107, 20, 203, 3399, 81, 2997, 280, 225, 34, 32, 34, 36, 203, 29051, 280, 2454, 81, 29051, 346, 203, 979, 6092, 2875, 30, 6092, 328, 10703, 21145, 34, 30, 225, 35, 614, 428, 34, 30, 225, 36, 614, 428, 34, 30, 225, 37, 614, 1378, 428, 35, 30, 225, 36, 614, 428, 35, 30, 225, 37, 614, 428, 36, 30, 225, 37, 46295, 284, 1593, 280, 7683, 297, 32, 605, 6894, 6092, 79, 284, 533, 280, 7683, 297, 32, 1977, 284, 5417, 280, 2065, 32, 16251, 26, 74, 32, 3229, 77, 34, 1130, 284, 2065, 32, 3855, 32, 7389, 26, 35, 37, 27, 284, 2065, 32, 3855, 32, 17906, 26, 2875, 27, 284, 1593, 280, 1593, 77, 2875, 79, 284, 533, 280, 533, 77, 2875, 79, 284, 5651, 280, 1593, 32, 6009, 26, 5082, 47, 34, 27, 284, 1230, 280, 1593, 32, 1530, 26, 5082, 47, 34, 27, 284, 1593, 280, 308, 74, 429, 5651, 27, 517, 1230, 284, 38498, 280, 35732, 3350, 15401, 922, 4698, 26, 74, 30, 533, 27, 284, 5743, 32, 23541, 26, 36, 30, 225, 37, 30, 6092, 2875, 474, 225, 35, 27, 284, 816, 81, 887, 30, 816, 81, 1449, 280, 1593, 6894, 225, 34, 997, 887, 346, 429, 225, 35, 30, 1593, 6894, 225, 34, 997, 1449, 346, 474, 225, 35, 284, 533, 81, 887, 30, 533, 81, 1449, 280, 1593, 6894, 225, 35, 997, 887, 346, 429, 225, 35, 30, 1593, 6894, 225, 35, 997, 1449, 346, 474, 225, 35, 284, 23634, 30, 9580, 280, 2065, 32, 7174, 3365, 26, 2356, 32, 16251, 26, 106, 81, 887, 30, 816, 81, 1449, 30, 6867, 81, 2997, 471, 656, 2065, 32, 16251, 26, 107, 81, 887, 30, 533, 81, 1449, 30, 6867, 81, 2997, 490, 284, 2523, 280, 38498, 32, 9356, 26, 2356, 32, 85, 8850, 2369, 32, 38665, 1026, 9580, 32, 38665, 27944, 284, 2523, 280, 2523, 32, 12091, 26, 2369, 32, 3229, 27, 284, 9101, 280, 5743, 32, 34118, 88, 26, 2369, 30, 9580, 30, 2523, 30, 26685, 47, 6073, 32, 4072, 32, 9913, 3911, 27, 284, 5743, 32, 16862, 26, 29051, 32, 3274, 81, 4243, 77, 5210, 77, 34, 13138, 284, 5743, 32, 16575, 26, 29051, 32, 3274, 81, 4243, 77, 5210, 77, 35, 13138, 284, 5743, 32, 5082, 440, 24346, 657, 284, 436, 595, 30, 1963, 328, 8529, 26, 3585, 26, 96, 81, 4820, 471, 6867, 81, 8717, 711, 291, 5417, 280, 2065, 32, 2767, 26, 107, 610, 595, 27, 291, 5743, 32, 17808, 26, 74, 77, 2875, 30, 225, 34, 614, 1593, 77, 2875, 30, 225, 35, 614, 281, 47, 1489, 30, 2266, 47, 29051, 32, 1977, 81, 4243, 77, 91, 614, 528, 26685, 47, 6073, 32, 4072, 32, 9913, 3911, 27, 284, 5743, 32, 5082, 440, 24346, 657, 203, 6073, 32, 101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 4, 4, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 2, 2, 4, 4, 4, 0, 1, 1, 3, 2, 2, 1, 1, 3, 6, 5, 5, 6, 5, 4, 6, 5, 5, 6, 5, 4, 6, 5, 5, 6, 5, 4, 4, 6, 5, 5, 6, 5, 4, 6, 5, 5, 6, 5, 4, 6, 5, 5, 6, 5, 1, 1, 4, 4, 7, 6, 7, 5, 5, 5, 2, 2, 4, 4, 6, 5, 6, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 7, 8, 7, 2, 2, 6, 7, 5, 6, 5, 6, 6, 5, 2, 2, 6, 7, 5, 6, 5, 6, 5, 2, 2, 4, 4, 5, 6, 5, 2, 2, 4, 4, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 8, 7, 7, 6, 5, 5, 2, 2, 4, 4, 8, 8, 8, 7, 6, 7, 6, 6, 6, 2, 2, 5, 6, 5, 6, 5, 5, 6, 5, 5, 7, 6, 6, 7, 5, 2, 2, 6, 6, 5, 5, 6, 6, 4, 4, 9, 9, 10, 9, 9, 8, 6, 6, 7, 5, 5, 9, 9, 10, 9, 9, 8, 6, 6, 7, 2, 2, 6, 6, 5, 5, 6, 6, 4, 4, 9, 9, 10, 9, 9, 8, 6, 6, 7, 5, 5, 9, 9, 10, 9, 9, 8, 6, 6, 7, 2, 2, 5, 5, 4, 4, 6, 7, 7, 6, 9, 8, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 6, 6, 8, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 2, 2, 4, 4, 6, 7, 6, 9, 8, 9, 9, 10, 9, 10, 9, 7, 9, 10, 9, 2, 2, 4, 4, 6, 7, 6, 8, 7, 8, 6, 2, 2, 4, 4, 6, 7, 7, 6, 7, 6, 6, 6, 6, 6, 6, 7, 10, 9, 10, 8, 9, 9, 6, 2, 2, 5, 6, 5, 8, 7, 8, 8, 8, 6, 8, 7, 8, 7, 2, 2, 5, 6, 5, 8, 7, 8, 8, 8, 6, 8, 7, 8, 7, 2, 2, 5, 6, 5, 7, 7, 2, 2, 3, 4, 4, 3, 3, 5, 7, 7, 8, 8, 8, 7, 5, 6, 6, 5, 3, 3, 6, 6, 8, 9, 8, 10, 9, 9, 8, 4, 4, 7, 8, 7, 9, 8, 9, 8, 8, 9, 8, 7, 8, 9, 8, 8, 9, 8, 7, 8, 9, 7, 7, 8, 11, 10, 11, 11, 11, 9, 10, 9, 7, 7, 8, 11, 10, 11, 9, 10, 10, 7, 2, 2, 5, 6, 5, 7, 7, 0, 4, 3, 4 ]
[ 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 3, 3, 1, 2, 3, 3, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 9, 9, 0, 1, 1, 9, 9, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 5, 5, 3, 5, 1, 1, 1, 7, 7, 3, 7, 1, 1, 9, 9, 3, 9, 1, 1, 11, 11, 3, 11, 9, 9, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 5, 5, 0, 2, 0, 2, 1, 1, 1, 5, 5, 0, 0, 2, 2, 2, 5, 5, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 2, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 2, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 1, 1, 0, 2, 2, 5, 5, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 3, 1, 1, 0, 5, 5, 2, 1, 5, 5, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 4, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 4, 0, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 4, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 4, 0, 2, 1, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 5, 5, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 5, 5, 0, 0, 0, 2, 1, 0, 1, 2, 1, 5, 5, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 0, 0, 2, 2, 2, 2, 1, 5, 5, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 5, 5, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 5, 5, 0, 2, 1, 1, 2, 5, 5, 21, 1, 1, 21, 21, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 21, 21, 0, 0, 0, 2, 1, 0, 1, 1, 1, 5, 5, 0, 2, 1, 0, 1, 2, 1, 1, 4, 1, 1, 3, 2, 3, 3, 4, 3, 1, 5, 2, 1, 1, 7, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 9, 0, 0, 2, 2, 2, 2, 1, 5, 5, 0, 2, 1, 1, 2, 0, 0, 0, 2 ]
[ 505, 2116, 505, 280, 330, 72, 36627, 546, 991, 83, 25, 203, 505, 770, 505, 280, 330, 22749, 675, 225, 36, 34, 35, 36, 25, 203, 505, 11794, 505, 280, 15584, 53, 27, 225, 36, 34, 35, 36, 30, 676, 36627, 546, 991, 83, 25, 203, 505, 13411, 505, 280, 8493, 2207, 6069, 58, 22, 25, 203, 465, 2322, 203, 1070, 498, 1099, 4280, 2755, 1188, 498, 1099, 4280, 2755, 203, 1070, 498, 1099, 4280, 10448, 1188, 498, 1099, 4280, 10448, 203, 1070, 8202, 32, 1262, 32, 5138, 1188, 10901, 5374, 203, 1070, 8202, 32, 1262, 32, 5138, 1188, 10901, 4709, 203, 823, 9102, 3365, 26, 23532, 4280, 10448, 711, 284, 44726, 55, 280, 313, 18397, 20, 284, 28275, 280, 313, 9544, 20, 284, 44726, 940, 280, 3037, 40696, 392, 313, 29795, 392, 313, 8270, 392, 313, 15210, 1446, 284, 23163, 4135, 280, 3037, 48579, 392, 313, 38890, 392, 313, 14298, 392, 313, 1530, 1902, 1446, 284, 6131, 81, 34209, 81, 5106, 280, 313, 4855, 81, 34209, 81, 5106, 20, 284, 665, 5597, 6881, 5603, 26, 784, 711, 291, 630, 32, 426, 280, 313, 6888, 3365, 20, 291, 630, 32, 1363, 280, 313, 23532, 4280, 20, 291, 630, 32, 669, 3675, 18677, 10580, 346, 291, 630, 32, 669, 3675, 1943, 1612, 10580, 346, 291, 630, 32, 669, 3675, 2348, 35, 2891, 1339, 4629, 10580, 346, 291, 630, 32, 669, 3675, 3533, 10580, 346, 291, 630, 32, 669, 3012, 26, 3012, 5374, 26, 6888, 3365, 32, 18397, 30, 324, 630, 32, 359, 440, 2212, 2113, 9102, 3365, 32, 37321, 30, 225, 34, 490, 291, 630, 32, 669, 3012, 26, 3012, 5374, 26, 6888, 3365, 32, 9544, 30, 324, 630, 32, 359, 440, 1868, 2113, 9102, 3365, 32, 18260, 4135, 30, 225, 34, 490, 291, 630, 32, 669, 3012, 26, 3012, 4709, 26, 6888, 3365, 32, 4855, 81, 34209, 81, 5106, 30, 324, 630, 32, 359, 440, 539, 9617, 20446, 4376, 308, 5483, 273, 10929, 623, 3112, 43471, 3177, 490, 291, 630, 32, 669, 3675, 21579, 2301, 10580, 346, 291, 630, 32, 669, 3675, 11641, 10580, 346, 284, 665, 2164, 10448, 26, 784, 30, 6538, 711, 291, 6350, 280, 428, 500, 32, 983, 32, 2524, 26, 23532, 4280, 2755, 32, 23532, 4280, 1215, 1026, 313, 1771, 392, 313, 6888, 3365, 3830, 291, 630, 32, 669, 3675, 18677, 9770, 26, 7621, 27, 291, 630, 32, 669, 3675, 1943, 1612, 9770, 26, 7621, 27, 291, 630, 32, 669, 3675, 2348, 35, 2891, 1339, 4629, 9770, 26, 7621, 27, 291, 630, 32, 669, 3675, 3533, 9770, 26, 7621, 27, 291, 3879, 280, 630, 32, 17761, 882, 26, 6888, 3365, 32, 18397, 27, 291, 415, 3879, 863, 225, 34, 44, 324, 6350, 32, 1689, 10359, 20, 474, 9102, 3365, 32, 37321, 77, 4890, 1130, 291, 1411, 280, 630, 32, 17761, 882, 26, 6888, 3365, 32, 9544, 27, 291, 415, 1411, 863, 225, 34, 44, 324, 6350, 32, 1689, 10359, 20, 474, 9102, 3365, 32, 18260, 4135, 77, 1959, 1130, 291, 415, 308, 784, 32, 17761, 882, 26, 6888, 3365, 32, 4855, 81, 34209, 81, 5106, 8531, 324, 6350 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 2, 2, 5, 4, 4, 7, 7, 5, 7, 7, 5, 7, 7, 5, 7, 7, 7, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 4, 4, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 7, 9, 9, 9, 11, 11, 10, 11, 9, 9, 9, 11, 12, 11, 13, 13, 9, 11, 10, 11, 9, 9, 10, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 11, 11, 10, 11, 9, 9, 9, 11, 12, 11, 13, 13, 9, 11, 10, 11, 11, 9, 9, 10, 9, 4, 4, 7, 8, 8, 7, 9, 9, 9, 11, 11, 10, 11, 11, 11, 11, 11, 9, 9, 9, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 9, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 11, 10, 11, 9, 10, 9, 12, 12, 12, 11, 12, 12, 12, 11, 9, 11, 11, 9, 11, 11, 11, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 9, 10, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 9, 10, 9, 12, 10, 10, 13, 12, 13, 11, 12, 11, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 9, 10, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 9, 10, 9, 12, 10, 10, 13, 12, 13, 13, 11, 12, 11, 4, 4, 5, 9, 8, 9, 9, 8, 10, 10, 9, 10, 10, 10, 10, 10, 8, 5, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 4, 4, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 9, 9, 1, 2, 1, 1, 1, 2, 9, 9, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 5, 2, 1, 1, 7, 1, 4, 4, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 5, 2, 2, 1, 1, 7, 1, 4, 4, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 4, 4, 6, 1, 2, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 6, 1, 1, 2, 6, 6, 6, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 8, 1, 1, 2, 8, 8, 8, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 4, 4, 9, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 9, 9 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 465, 19493, 203, 465, 2361, 203, 465, 2322, 203, 465, 5237, 203, 465, 1133, 203, 465, 27374, 203, 1070, 8206, 13835, 32, 28783, 1188, 13423, 203, 1070, 8206, 13835, 32, 2958, 1188, 1245, 203, 1070, 8206, 13835, 32, 1840, 1188, 2869, 30, 907, 203, 465, 298, 36, 5178, 203, 1070, 44116, 1188, 706, 619, 44116, 81, 605, 203, 1070, 638, 1188, 706, 619, 298, 36, 5178, 81, 605, 203, 1070, 4527, 1188, 665, 26190, 30, 18329, 81, 3142, 30, 3996, 30, 7744, 30, 4117, 30, 8921, 30, 2677, 203, 589, 617, 6231, 81, 850, 26, 3607, 711, 284, 1596, 44, 291, 623, 2156, 26, 3607, 30, 330, 4506, 683, 619, 296, 44, 324, 442, 296, 32, 850, 346, 284, 2940, 45338, 30, 484, 44, 291, 415, 484, 32, 12864, 863, 19493, 32, 21125, 1438, 44, 324, 3636, 284, 1596, 44, 291, 623, 2156, 26, 3607, 474, 5608, 890, 370, 330, 4506, 683, 619, 296, 44, 324, 442, 296, 32, 850, 346, 284, 2940, 45338, 30, 484, 44, 291, 415, 484, 32, 12864, 863, 19493, 32, 21125, 1438, 44, 324, 3636, 284, 442, 1665, 203, 589, 617, 6231, 81, 1821, 26, 3607, 30, 706, 711, 284, 623, 2156, 26, 3607, 474, 5608, 890, 370, 330, 12108, 683, 619, 296, 44, 291, 296, 32, 1821, 26, 605, 27, 291, 296, 32, 9321, 346, 291, 1596, 44, 324, 2322, 32, 2548, 1119, 26, 88, 32, 5039, 7888, 1157, 291, 2940, 44, 324, 3097, 284, 1596, 44, 291, 2322, 32, 13141, 26, 3607, 474, 5608, 890, 370, 4870, 27, 284, 2940, 44, 4456, 2322, 32, 2546, 26, 3607, 27, 291, 2322, 32, 13141, 26, 3607, 474, 5608, 890, 370, 4870, 27, 203, 589, 622, 81, 1840, 81, 2388, 26, 12108, 30, 5219, 27750, 81, 983, 30, 3493, 331, 552, 81, 5691, 81, 869, 30, 4719, 81, 1567, 47, 4502, 32, 1151, 22805, 284, 1541, 280, 34839, 32, 1251, 284, 1477, 81, 1003, 280, 1133, 32, 1003, 346, 284, 2676, 81, 2388, 280, 2869, 32, 2291, 346, 284, 665, 622, 81, 3707, 2262, 291, 2384, 30, 2401, 280, 1541, 32, 13610, 32, 371, 81, 2273, 81, 363, 81, 2135, 26, 1251, 32, 8773, 81, 6074, 81, 869, 32, 853, 27, 291, 11229, 30, 3380, 81, 3292, 30, 2800, 367, 81, 3292, 280, 1541, 32, 13610, 32, 371, 81, 12018, 81, 9582, 26, 1251, 32, 8773, 81, 6074, 81, 869, 32, 853, 30, 1847, 26, 2273, 30, 225, 41, 36, 34, 471, 225, 40, 39, 39, 37, 39, 28, 36, 326, 36, 39, 40, 27, 291, 736, 280, 2149, 291, 436, 3261, 328, 8594, 26, 9582, 30, 1202, 47, 5962, 309, 44, 11229, 77, 101, 10794, 324, 736, 77, 27525, 81, 605, 32, 1423, 36, 81, 452, 81, 2468, 26, 1423, 30, 1541, 32, 1299, 32, 27717, 2177, 280, 11229, 77, 1423, 11491, 2999, 81, 3292, 291, 442, 736, 284, 665, 622, 81, 1700, 81, 17958, 81, 1483, 24568, 26, 3804, 30, 31373, 47, 34, 711, 291, 6486, 24568, 280, 1541, 32, 371, 81, 1700, 81, 1483, 24568, 346, 291, 3380 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 5, 10, 11, 10, 10, 12, 12, 8, 8, 5, 5, 5, 7, 9, 10, 9, 3, 3, 4, 4, 4, 4, 4, 4, 6, 8, 9, 7, 7, 8, 9, 9, 6, 6, 6, 2, 2, 3, 3, 3, 5, 10, 12, 11, 11, 13, 13, 10, 12, 12, 8, 8, 5, 5, 5, 7, 9, 10, 9, 3, 3, 4, 4, 4, 4, 4, 4, 6, 8, 9, 7, 7, 8, 9, 9, 6, 6, 6, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 8, 10, 9, 9, 11, 11, 8, 10, 10, 6, 6, 3, 3, 3, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 4, 4, 5, 5, 5, 9, 10, 10, 9, 12, 11, 12, 12, 11, 5, 5, 6, 6, 6, 2, 2, 3, 3, 3, 7, 8, 7, 9, 8, 8, 10, 10, 7, 7, 3, 3, 4, 4, 4, 8, 9, 8, 9, 8, 5, 5, 8, 9, 8, 10, 9, 9, 11, 11, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 6, 5, 6, 5, 1, 1, 4, 4, 5, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 3, 4, 4, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 9, 9, 8, 11, 10, 11, 11, 11, 11, 11, 9, 10, 8, 4, 4, 7, 7, 8, 8, 7, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 9, 9, 9, 9, 8, 11, 10, 11, 11, 11, 11, 11, 9, 10, 8, 8, 10, 11, 10, 10, 11, 11, 11, 10, 8, 10, 10, 10, 10, 10, 9, 11, 10, 11, 11, 11, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 7, 8, 9, 9, 9, 9, 10, 11, 10, 5, 5, 9, 12, 12, 12, 11, 12, 12, 12, 12, 12, 12, 11, 12, 11, 11, 13, 14, 12, 13, 11, 8, 8, 10, 11, 10, 10, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 6, 6, 8, 9, 9, 9, 9, 9, 9, 8, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 9, 9, 0, 1, 2, 9, 9, 9, 9, 0, 10, 10, 0, 0, 0, 11, 11, 11, 11, 3, 3, 2, 2, 0, 12, 12, 12, 12, 3, 3, 2, 2, 2, 2, 0, 13, 13, 13, 13, 0, 13, 13, 0, 0, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 0, 14, 14, 1, 1, 1, 2, 1, 2, 14, 14, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 4, 4, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 4, 4, 2, 0, 15, 15, 1, 1, 1, 2, 1, 2, 2, 2, 15, 15, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 3, 3, 3, 4, 4, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 3, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 16, 16, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 2, 2, 0, 0, 7, 0, 0, 2, 1, 16, 16, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 3, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0, 5, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 4, 4, 3, 3, 3, 1, 1, 1, 1, 3, 2, 2, 2, 2, 3, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 3, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4 ]
[ 1070, 21454, 3483, 1188, 5008, 203, 465, 2322, 203, 6177, 81, 3197, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 203, 17252, 81, 3307, 280, 330, 89, 47, 38, 94, 50, 41, 35, 41, 35, 38, 102, 37, 29, 40, 18543, 85, 26, 35, 88, 37, 500, 13851, 35, 99, 43, 29, 107, 18878, 105, 1483, 104, 611, 3075, 80, 14586, 93, 28, 38831, 87, 40, 21113, 203, 2897, 280, 2933, 203, 17143, 81, 2897, 280, 2933, 203, 33891, 81, 8472, 69, 280, 1605, 203, 6585, 45421, 81, 47406, 280, 308, 284, 330, 11025, 32, 12023, 32, 2393, 370, 284, 330, 11025, 32, 12023, 32, 1286, 2516, 370, 284, 330, 11025, 32, 12023, 32, 18780, 370, 284, 330, 11025, 32, 12023, 32, 6286, 370, 284, 330, 11025, 32, 12023, 32, 1574, 2536, 370, 284, 330, 5172, 37, 370, 284, 330, 17022, 3483, 32, 11025, 32, 17022, 81, 2393, 370, 284, 330, 95, 2161, 266, 723, 32, 1262, 32, 2852, 1063, 370, 284, 330, 95, 2161, 266, 723, 32, 16242, 32, 18289, 1063, 370, 284, 330, 11025, 81, 9081, 370, 203, 27, 203, 47589, 35291, 81, 36850, 280, 308, 284, 330, 11025, 32, 12023, 32, 18780, 32, 11202, 32, 3135, 11063, 370, 284, 330, 11025, 32, 11202, 32, 2282, 32, 5240, 11063, 370, 284, 330, 11025, 32, 11202, 32, 14250, 32, 17528, 4918, 1074, 11063, 370, 284, 330, 11025, 32, 12023, 32, 2393, 32, 11202, 32, 8161, 11063, 370, 284, 330, 11025, 32, 12023, 32, 2393, 32, 11202, 32, 3135, 8161, 11063, 370, 284, 330, 11025, 32, 12023, 32, 6286, 32, 11202, 32, 1175, 11063, 370, 284, 330, 11025, 32, 11202, 32, 2942, 10583, 299, 32, 74, 2136, 2031, 11063, 370, 203, 27, 203, 7789, 81, 2413, 14594, 280, 330, 95, 2161, 266, 723, 32, 11400, 25, 203, 3951, 14819, 81, 16258, 280, 330, 95, 2161, 266, 723, 32, 46674, 32, 3164, 25, 203, 20528, 69, 280, 301, 284, 330, 1536, 950, 301, 291, 330, 28137, 950, 330, 11025, 32, 1199, 32, 11514, 32, 11215, 25, 284, 320, 203, 111, 203, 34801, 81, 3521, 280, 330, 272, 31, 352, 25, 203, 4804, 81, 27368, 280, 330, 15689, 25, 203, 4855, 81, 59, 35, 42, 64, 280, 2933, 203, 4855, 81, 62, 35, 34, 64, 280, 2933, 203, 4855, 81, 19508, 280, 2933, 203, 17143, 81, 13952, 81, 17222, 6535, 280, 308, 284, 330, 11025, 32, 12023, 32, 2393, 32, 1819, 81, 24715, 32, 2393, 370, 284, 330, 11025, 32, 1262, 32, 1819, 81, 24715, 32, 2811, 370, 284, 330, 11025, 32, 1262, 32, 1819, 81, 24715, 32, 91, 35, 42, 96, 370, 284, 330, 11025, 32, 1262, 32, 1819, 81, 24715, 32, 3435, 370, 284, 330, 11025, 32, 1262, 32, 1819, 81, 24715, 32, 1574, 370, 284, 330, 11025, 32, 1262, 32, 1819, 81, 24715, 32, 10185, 370, 284, 330, 11025, 32, 12023, 32, 6286, 32, 1819, 81, 24715, 32, 6286, 370, 284, 330, 95, 2161, 266, 723, 32, 1262, 32, 1819, 24715, 32, 6053, 6862, 370, 203, 27, 203, 14673, 81, 2413, 280, 3056, 1574 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 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, 0, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 4 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 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, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1 ]
[ 1070, 8527, 1188, 3079, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 32, 6849, 5646, 32, 3378, 1188, 22901, 1969, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 622, 81, 1700, 81, 2851, 203, 3317, 280, 3079, 32, 5876, 346, 203, 823, 22901, 1637, 1212, 26, 2387, 32, 1212, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1619, 81, 426, 30, 11187, 81, 1793, 47, 2521, 30, 1256, 47, 2521, 711, 291, 630, 32, 1819, 81, 426, 280, 1619, 81, 426, 291, 415, 11187, 81, 1793, 44, 324, 630, 32, 21346, 81, 1793, 280, 3079, 32, 3818, 26, 21346, 81, 1793, 27, 291, 813, 44, 324, 630, 32, 21346, 81, 1793, 280, 1665, 291, 415, 1256, 44, 324, 630, 32, 496, 280, 3079, 32, 3818, 26, 496, 27, 291, 813, 44, 324, 630, 32, 496, 280, 1665, 284, 665, 2908, 26, 784, 30, 1619, 711, 291, 415, 330, 1357, 25, 328, 1619, 44, 324, 4755, 81, 3174, 280, 622, 81, 1700, 81, 2851, 26, 1819, 710, 1357, 21229, 3174, 291, 813, 44, 324, 4755, 81, 3174, 280, 4070, 32, 24819, 81, 779, 291, 11913, 5646, 280, 22901, 1969, 32, 5740, 32, 2029, 26, 12095, 505, 314, 47, 2851, 81, 3174, 27, 291, 415, 630, 32, 21346, 81, 1793, 44, 324, 11913, 5646, 280, 11913, 5646, 32, 2029, 26, 400, 1984, 505, 15990, 47, 784, 32, 21346, 81, 1793, 32, 5284, 26, 1819, 490, 291, 415, 630, 32, 496, 44, 324, 1256, 280, 630, 32, 496, 32, 5284, 26, 1819, 27, 324, 415, 646, 1256, 32, 297, 81, 22297, 2262, 400, 11913, 5646, 280, 11913, 5646, 32, 2029, 26, 15265, 81, 3648, 47, 2700, 27, 291, 813, 44, 324, 11913, 5646, 280, 11913, 5646, 32, 2029, 26, 15265, 81, 3648, 47, 2700, 27, 291, 1619, 77, 784, 32, 1819, 81, 426, 79, 280, 11913, 5646, 291, 442, 4247, 203, 50, 3317, 32, 2142, 203, 589, 622, 81, 6849, 5646, 26, 3922, 30, 2404, 711, 284, 7030, 280, 2404, 32, 2998, 81, 8078, 346, 284, 8345, 81, 1436, 280, 2884, 42668, 2142, 81, 426, 27, 101, 23119, 312, 8345, 432, 18147, 2142, 81, 426, 27, 101, 313, 5556, 313, 710, 965, 81, 21346, 81, 1793, 785, 428, 979, 1256, 79, 619, 1619, 81, 426, 20, 904, 5556, 5436, 26, 2142, 81, 426, 47, 5960, 77, 34, 5259, 284, 415, 2069, 26, 5960, 27, 2377, 225, 37, 461, 2069, 26, 5960, 27, 2511, 225, 40, 44, 291, 415, 2069, 26, 5960, 27, 904, 225, 36, 610, 225, 34, 44, 324, 5202, 280, 7030, 77, 35, 79, 291, 813, 44, 324, 5202, 280, 1665, 291, 415, 7030, 6448, 36, 79, 863, 330, 302, 950, 324, 3636, 3079, 32, 3442, 40672, 26, 8144, 81, 1436, 27, 291, 1619, 81, 426, 280, 7030, 6448, 35, 79, 291, 415, 2069, 26, 5960, 27, 2377, 225, 39, 44, 324, 415, 7030, 6448, 38, 79, 863, 330, 979, 950, 400, 3636, 3079, 32, 3442, 40672, 26, 8144, 81, 1436, 27, 324, 1256, 280, 7030, 6448, 37, 79, 291, 813, 44, 324, 1256, 280, 1665, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 2, 2, 4, 5, 4, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 11, 10, 11, 11, 11, 10, 5, 5, 6, 6, 6, 10, 11, 11, 11, 9, 9, 4, 4, 5, 5, 5, 5, 9, 10, 8, 8, 10, 11, 10, 11, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 8, 8, 6, 6, 5, 5, 5, 9, 9, 8, 8, 11, 11, 11, 11, 11, 13, 12, 14, 14, 10, 5, 5, 6, 6, 6, 10, 10, 9, 9, 10, 11, 11, 11, 4, 4, 7, 6, 6, 10, 9, 10, 8, 9, 8, 10, 10, 10, 9, 10, 10, 10, 8, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 8, 8, 11, 10, 11, 10, 10, 10, 12, 12, 11, 15, 14, 15, 15, 15, 13, 14, 13, 14, 13, 4, 4, 5, 6, 7, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 11, 10, 6, 6, 7, 8, 10, 11, 11, 11, 10, 7, 7, 11, 10, 10, 13, 12, 13, 12, 14, 14, 14, 13, 14, 12, 5, 5, 6, 6, 6, 10, 9, 9, 12, 11, 12, 11, 13, 13, 13, 12, 13, 11, 4, 4, 7, 9, 8, 9, 9, 9, 7, 6, 6, 7, 4, 4, 5, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 5, 5, 7, 8, 8, 8, 7, 3, 3, 6, 6, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 9, 11, 11, 11, 10, 12, 11, 12, 11, 3, 3, 4, 8, 9, 8, 6, 6, 7, 5, 5, 8, 9, 8, 6, 6, 7, 4, 4, 4, 6, 10, 11, 10, 8, 8, 9, 7, 7, 8, 6, 6, 6, 9, 9, 10, 11, 10, 6, 6, 7, 7, 7, 10, 10, 5, 5, 6, 8, 10, 8, 7, 7, 9, 9, 6, 6, 8, 10, 11, 11, 10, 11, 11, 11, 10, 5, 5, 8, 8, 7, 7, 8, 10, 8, 5, 5, 6, 9, 10, 9, 7, 7, 8, 6, 6, 6, 8, 10, 12, 10, 9, 9, 11, 11, 8, 8, 10, 12, 13, 13, 12, 13, 13, 13, 12, 7, 7, 9, 9, 10, 12, 10, 6, 6, 7, 7, 7, 10, 10, 5 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 4, 4, 1, 6, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 2, 2, 2, 7, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 2, 3, 3, 3, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 3, 3, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 4, 4, 5, 0, 0, 0, 1, 2, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 4, 4, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 3, 3, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 3, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 2, 3, 3, 4, 4, 4, 0, 0, 3 ]
[ 1070, 8527, 32, 12023, 32, 21031, 32, 42986, 1188, 26717, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 42986, 32, 1495, 1188, 308, 284, 2241, 70, 1547, 30, 2241, 70, 4852, 30, 2241, 70, 3061, 30, 2241, 70, 3061, 40, 38, 30, 2241, 70, 6877, 30, 2241, 70, 652, 30, 284, 2241, 70, 1043, 30, 203, 27, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 32, 25931, 32, 21332, 1188, 8529, 203, 589, 7996, 26, 605, 81, 1855, 30, 19816, 81, 426, 1057, 12316, 370, 5396, 81, 678, 47, 34, 30, 6959, 81, 12316, 47, 2700, 711, 284, 415, 6937, 26, 605, 81, 1855, 30, 18792, 32, 800, 81, 2516, 711, 291, 706, 81, 1855, 280, 26717, 26, 605, 81, 1855, 27, 284, 4348, 6937, 26, 605, 81, 1855, 30, 26717, 711, 291, 3097, 284, 813, 44, 291, 3636, 12678, 463, 750, 1914, 3395, 2298, 526, 312, 802, 556, 312, 26717, 1300, 11834, 284, 617, 9387, 280, 2149, 284, 436, 1600, 328, 706, 81, 1855, 77, 1823, 81, 678, 997, 4151, 44, 291, 345, 1495, 280, 1600, 32, 5729, 346, 291, 415, 345, 1495, 6448, 35, 10056, 610, 7610, 950, 324, 345, 1495, 1454, 330, 1495, 25, 291, 617, 9387, 77, 95, 1495, 79, 280, 1600, 284, 485, 681, 280, 706, 81, 1855, 77, 1823, 81, 678, 997, 12316, 81, 681, 284, 415, 6959, 81, 12316, 44, 291, 485, 681, 32, 452, 81, 6844, 346, 284, 617, 9387, 77, 12316, 81, 426, 79, 280, 596, 26, 89, 681, 547, 7607, 346, 284, 442, 617, 9387, 203, 589, 337, 771, 18697, 2740, 1132, 30, 1115, 5321, 711, 284, 442, 3228, 96, 2473, 2524, 26, 101, 436, 309, 328, 617, 97, 771, 18697, 2740, 1132, 30, 1115, 5321, 490, 203, 589, 617, 97, 771, 18697, 26, 605, 81, 1855, 30, 1542, 81, 426, 30, 19816, 81, 426, 1057, 12316, 370, 5396, 81, 678, 47, 34, 30, 309, 1923, 47, 2521, 30, 400, 6959, 81, 12316, 47, 2700, 30, 636, 81, 1495, 47, 2521, 30, 14422, 47, 1815, 30, 400, 10245, 47, 2700, 30, 11771, 47, 2700, 30, 744, 47, 2700, 711, 284, 415, 6937, 26, 605, 81, 1855, 30, 18792, 32, 800, 81, 2516, 711, 291, 706, 81, 1855, 280, 26717, 26, 605, 81, 1855, 27, 284, 4348, 6937, 26, 605, 81, 1855, 30, 26717, 711, 291, 3097, 284, 813, 44, 291, 3636, 12678, 463, 750, 1914, 3395, 2298, 526, 312, 802, 556, 312, 26717, 1300, 11834, 284, 5396, 280, 706, 81, 1855, 77, 1823, 81, 678, 79, 284, 337, 771, 81, 4151, 280, 5396, 32, 4151, 284, 665, 2164, 81, 4124, 626, 26, 4124, 626, 711, 291, 415, 6937, 26, 4124, 626, 30, 308, 668, 30, 8825, 8531, 324, 442, 428, 101, 32, 5729, 346, 436, 309, 328, 8556, 626, 79, 291, 4348, 8556, 626, 44, 324, 442, 428, 101, 32, 5729, 346, 436, 309, 328, 337, 771, 81, 4151, 79, 291, 813, 44, 324, 442, 1605, 284, 744, 81, 4151, 280, 2164, 81, 4124, 626, 26, 1693, 27, 284, 11771, 81, 4151, 280, 2164, 81, 4124, 626, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 2, 4, 4, 3, 5, 5, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 5, 6, 6, 6, 5, 5, 6, 7, 7, 7, 5, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 3, 3, 4, 6, 7, 7, 7, 6, 6, 6, 4, 4, 3, 3, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 5, 4, 4, 2, 2, 3, 3, 3, 6, 6, 5, 6, 6, 6, 5, 5, 3, 3, 3, 7, 6, 6, 8, 9, 8, 4, 4, 5, 8, 7, 10, 8, 6, 6, 8, 5, 5, 9, 8, 8, 10, 10, 4, 4, 8, 7, 8, 8, 7, 6, 6, 2, 2, 5, 4, 4, 7, 7, 6, 7, 7, 7, 6, 6, 6, 6, 2, 2, 3, 4, 4, 3, 3, 3, 8, 7, 8, 8, 8, 7, 2, 2, 6, 5, 6, 6, 6, 5, 4, 4, 8, 9, 9, 8, 7, 6, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 3, 8, 7, 6, 5, 6, 5, 6, 6, 6, 8, 8, 8, 8, 10, 8, 8, 10, 8, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 4, 4, 3, 5, 5, 2, 4, 4, 3, 4, 2, 2, 4, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 5, 6, 6, 6, 5, 5, 6, 7, 7, 7, 5, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 3, 3, 4, 6, 7, 7, 7, 6, 6, 6, 4, 4, 3, 3, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 4, 4, 6, 6, 5, 6, 6, 6, 5, 2, 2, 5, 5, 5, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 7, 8, 8, 7, 7, 9, 8, 8, 8, 5, 5, 7, 11, 10, 11, 10, 8, 9, 9, 9, 10, 8, 5, 5, 6, 7, 6, 6, 6, 8, 12, 11, 12, 11, 9, 10, 10, 10, 11, 11, 11, 9, 5, 5, 6, 6, 6, 8, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 8, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 3, 3, 0, 4, 4, 2, 1, 1, 1, 2, 2, 0, 0, 3, 1, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 4, 4, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 5, 5, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 5, 5, 0, 0, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 4, 4, 6, 1, 0, 5, 5, 1, 1, 2, 1, 2, 2, 1, 2, 5, 5, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 0, 0, 5, 1, 2, 2, 0, 0, 7, 2, 2, 2, 0, 9, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 15, 2, 2, 2, 2, 17, 2, 2, 2, 19, 2, 2, 2, 21, 2, 2, 6, 6, 0, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 3, 1, 0, 0, 4, 1, 4, 4, 4, 0, 0, 0, 2, 1, 1, 2, 2, 2, 3, 3, 3, 1, 0, 0, 5, 5, 5, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 5741, 203, 465, 5741, 32, 1163, 261, 203, 465, 5237, 203, 465, 11685, 203, 1070, 1933, 1188, 1933, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 1188, 10869, 203, 1070, 8527, 32, 1262, 32, 2200, 1188, 622, 81, 3841, 203, 1070, 8527, 32, 2304, 32, 44136, 1188, 26396, 383, 3353, 2062, 5711, 203, 1070, 8527, 32, 2304, 32, 1647, 81, 6696, 1188, 1188, 81, 800, 203, 1070, 8527, 32, 4338, 32, 2811, 1188, 3268, 20624, 203, 5807, 81, 3602, 32384, 280, 301, 284, 330, 1648, 950, 225, 35, 30, 284, 330, 5820, 81, 12724, 81, 751, 7983, 950, 3177, 30, 284, 330, 9211, 950, 301, 291, 330, 1981, 81, 2811, 81, 1870, 950, 301, 324, 330, 346, 950, 330, 11025, 32, 2304, 32, 751, 32, 3797, 3529, 2700, 370, 291, 801, 291, 330, 1981, 81, 2811, 81, 1508, 950, 301, 324, 330, 346, 950, 330, 11025, 32, 2304, 32, 751, 32, 3797, 3529, 1815, 370, 291, 801, 284, 801, 284, 330, 14458, 950, 301, 291, 330, 4466, 950, 301, 324, 330, 2649, 950, 330, 1589, 370, 324, 330, 9211, 950, 2107, 1981, 81, 2811, 81, 1508, 2188, 324, 330, 823, 950, 330, 7490, 32, 1862, 1972, 370, 291, 801, 291, 330, 2200, 81, 33914, 950, 301, 324, 330, 2649, 950, 330, 2930, 370, 324, 330, 9211, 950, 2107, 1981, 81, 2811, 81, 1870, 2188, 324, 330, 823, 950, 330, 11025, 32, 2304, 32, 751, 32, 4191, 4477, 1972, 25, 291, 320, 284, 801, 284, 330, 751, 7983, 950, 301, 291, 330, 11025, 950, 301, 324, 330, 14458, 950, 2107, 4466, 370, 330, 2200, 81, 33914, 2188, 324, 330, 2649, 950, 330, 1589, 370, 291, 801, 291, 330, 978, 32, 19991, 950, 301, 324, 330, 14458, 950, 2107, 4466, 2188, 291, 801, 284, 320, 203, 111, 203, 589, 8488, 81, 7490, 26, 7490, 81, 1163, 30, 5741, 81, 3550, 711, 284, 415, 646, 5237, 32, 9762, 1347, 985, 44, 291, 5741, 32, 14117, 12069, 26, 1815, 27, 291, 11685, 32, 6656, 2029, 440, 1536, 392, 26396, 383, 3353, 2062, 5711, 27, 284, 415, 5741, 81, 1163, 44, 291, 5741, 81, 1163, 81, 1298, 280, 1188, 81, 800, 26, 7490, 81, 1163, 27, 291, 5741, 32, 1163, 32, 2665, 1063, 26, 5807, 81, 3602, 32384, 27, 291, 415, 5741, 81, 3550, 44, 324, 5741, 81, 1163, 81, 1298, 26, 7490, 81, 3550, 27, 203, 823, 9128, 4477, 1972, 26, 7490, 32, 1972, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2305, 81, 916, 47, 2700, 30, 4096, 81, 7878, 47, 2521, 711, 291, 5741, 32, 1972, 3667, 1664, 3207, 784, 27, 291, 630, 32, 1017, 81, 916, 280, 2305, 81, 916, 291, 630, 32, 1935, 81, 7878, 280, 4096, 81, 7878, 284, 665, 9533, 26, 784, 30, 3627, 711, 291, 1596, 44, 324, 1326, 280, 3627, 32, 1357, 324, 5383, 280, 6611, 101, 10027, 101, 4600, 711, 904, 101, 25, 904, 308, 400, 3627, 32, 2649, 426, 30, 400, 2726, 3259, 25, 415, 1326, 32, 14254, 32, 371, 463, 25670 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 3, 6, 6, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 3, 3, 6, 6, 4, 5, 5, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 11, 11, 11, 11, 11, 11, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 3, 3, 6, 6, 6, 4, 5, 5, 8, 8, 6, 7, 7, 10, 10, 8, 11, 11, 9, 11, 11, 11, 11, 7, 7, 10, 10, 8, 10, 10, 7, 7, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 11, 11, 7, 7, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 6, 6, 6, 3, 3, 3, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 7, 9, 9, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 3, 3, 3, 7, 7, 7, 7, 6, 6, 8, 8, 8, 9, 9, 9, 8, 4, 4, 8, 9, 7, 8, 8, 7, 8, 8, 8, 8, 7, 4, 4, 5, 6, 6, 5, 5, 5, 9, 9, 9, 9, 9, 10, 10, 10, 9, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 8, 8, 9, 10, 6, 6, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 11, 12, 12, 10, 10, 10, 14, 14, 12, 12, 16, 17, 15, 16, 15, 17 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 10, 10, 1, 2, 1, 4, 4, 4, 10, 10, 0, 0, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 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, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 9, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 13, 13, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 13, 13, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 2, 1, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 14, 14, 1, 1, 2, 0, 1, 2, 2, 14, 14, 0, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 0, 5, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1 ]
[ 1070, 8527, 32, 12023, 32, 6286, 1188, 12388, 203, 1070, 8527, 32, 12023, 32, 6286, 32, 4219, 1188, 1244, 81, 4219, 203, 505, 464, 505, 280, 308, 284, 330, 669, 81, 1436, 370, 330, 371, 81, 6286, 370, 284, 330, 371, 81, 2649, 370, 330, 470, 81, 2649, 370, 284, 330, 2811, 370, 330, 1338, 370, 330, 3127, 370, 330, 5691, 370, 330, 731, 370, 203, 27, 203, 823, 4578, 7961, 26, 984, 711, 284, 3097, 203, 589, 1015, 81, 1436, 26, 1357, 30, 3193, 30, 1474, 30, 6717, 81, 3963, 26409, 3547, 81, 10411, 12636, 47, 2700, 711, 284, 415, 19326, 26, 1357, 30, 7610, 6286, 7831, 291, 442, 1326, 1114, 6286, 32, 669, 26, 2649, 30, 1474, 30, 6717, 81, 3963, 27, 284, 415, 646, 3547, 81, 10411, 12636, 44, 291, 3636, 4578, 7961, 463, 4282, 4881, 1015, 5218, 2876, 18121, 330, 528, 330, 11025, 32, 12023, 32, 6286, 32, 11202, 32, 1175, 11063, 683, 203, 589, 622, 81, 6286, 26, 1357, 711, 284, 415, 19326, 26, 1357, 30, 7610, 6286, 7831, 291, 442, 1326, 1114, 6286, 284, 813, 44, 291, 442, 1605, 203, 589, 622, 81, 2649, 26, 1357, 711, 284, 415, 19326, 26, 1357, 30, 7610, 6286, 7831, 291, 4759, 280, 1326, 1114, 6286, 284, 813, 44, 291, 4759, 280, 1244, 81, 4219, 26, 1357, 27, 284, 442, 4759, 32, 2649, 203, 589, 739, 81, 2649, 26, 1357, 30, 3193, 711, 284, 415, 646, 19326, 26, 1357, 30, 7610, 6286, 7831, 291, 442, 3177, 284, 1326, 1114, 6286, 32, 2649, 280, 3193, 284, 442, 2933, 203, 589, 4588, 26, 1357, 30, 1474, 30, 6717, 81, 3963, 26409, 3547, 81, 10411, 12636, 47, 2700, 711, 284, 1015, 81, 1436, 26, 1357, 30, 12388, 32, 2897, 30, 1474, 30, 6717, 81, 3963, 47, 7615, 81, 3963, 30, 400, 3547, 81, 10411, 12636, 47, 5066, 81, 10411, 12636, 27, 203, 589, 3099, 26, 1357, 30, 1474, 30, 6717, 81, 3963, 26409, 3547, 81, 10411, 12636, 47, 2700, 711, 284, 1015, 81, 1436, 26, 1357, 30, 12388, 32, 1589, 30, 1474, 30, 6717, 81, 3963, 47, 7615, 81, 3963, 30, 400, 3547, 81, 10411, 12636, 47, 5066, 81, 10411, 12636, 27, 203, 589, 3117, 26, 1357, 30, 1474, 30, 6717, 81, 3963, 26409, 3547, 81, 10411, 12636, 47, 2700, 711, 284, 1015, 81, 1436, 26, 1357, 30, 12388, 32, 6685, 30, 1474, 30, 6717, 81, 3963, 47, 7615, 81, 3963, 30, 400, 3547, 81, 10411, 12636, 47, 5066, 81, 10411, 12636, 27, 203, 589, 5967, 26, 1357, 30, 1474, 30, 6717, 81, 3963, 26409, 3547, 81, 10411, 12636, 47, 2700, 711, 284, 1015, 81, 1436, 26, 1357, 30, 12388, 32, 10431, 30, 1474, 30, 6717, 81, 3963, 47, 7615, 81, 3963, 30, 400, 3547, 81, 10411, 12636, 47, 5066, 81, 10411, 12636, 27, 203, 589, 1048, 26, 1357, 30, 1474, 30, 6717, 81, 3963, 26409, 3547, 81, 10411, 12636, 47, 2700, 711, 284, 1015, 81, 1436, 26, 1357, 30, 12388, 32, 2930, 30, 1474, 30, 6717, 81, 3963, 47, 7615, 81, 3963, 30, 400, 3547, 81, 10411, 12636, 47, 5066, 81, 10411 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 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, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 3, 2, 4, 4, 4, 3, 4, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 3, 3, 5, 8, 9, 7, 8, 7, 8, 7, 7, 7, 7, 8, 8, 7, 2, 2, 3, 4, 5, 5, 5, 3, 3, 3, 5, 7, 7, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 3, 3, 5, 6, 7, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 5, 5, 7, 7, 3, 3, 6, 6, 7, 8, 3, 3, 4, 4, 4, 7, 7, 9, 9, 9, 10, 9, 2, 2, 3, 4, 5, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 6, 7, 6, 6, 8, 8, 3, 3, 5, 2, 2, 6, 7, 5, 6, 4, 4, 2, 2, 3, 0, 1, 1, 2, 3, 2, 2, 2, 2, 4, 4, 3, 2, 4, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 7, 7, 7, 6, 7, 7, 7, 7, 5, 0, 1, 1, 2, 3, 2, 2, 2, 2, 4, 4, 3, 2, 4, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 7, 7, 7, 6, 7, 7, 7, 7, 5, 0, 1, 1, 2, 3, 2, 2, 2, 2, 4, 4, 3, 2, 4, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 7, 7, 7, 6, 7, 7, 7, 7, 5, 0, 1, 1, 2, 3, 2, 2, 2, 2, 4, 4, 3, 2, 4, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 7, 7, 7, 6, 7, 7, 7, 7, 5, 0, 1, 1, 2, 3, 2, 2, 2, 2, 4, 4, 3, 2, 4, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 6, 5, 5, 6, 7, 5, 5, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5, 5, 7, 7, 7, 6, 7, 7, 7 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 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, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 2, 3, 3, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 0, 0, 0, 9, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 4, 4, 4, 0, 0, 6, 6, 1, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 2, 0, 7, 7, 1, 1, 2, 1, 2, 2, 2, 7, 7, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 4, 4, 0, 2, 0, 2, 0, 0, 4, 4, 2, 0, 8, 8, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 0, 0, 0, 7, 2, 2, 8, 8, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 0, 0, 0, 9, 2, 2, 2, 2, 1, 0, 9, 9, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 0, 0, 0, 7, 2, 2, 9, 9, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 0, 0, 0, 9, 2, 2, 2, 2, 1, 0, 10, 10, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 0, 0, 0, 7, 2, 2, 10, 10, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 0, 0, 0, 9, 2, 2, 2, 2, 1, 0, 11, 11, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 0, 0, 0, 7, 2, 2, 11, 11, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 0, 0, 0, 9, 2, 2, 2, 2, 1, 0, 12, 12, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 0, 0, 0, 7, 2, 2, 12, 12, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 0, 0, 7, 2, 2, 2, 1, 1, 1, 0, 0, 0, 9, 2, 2, 2 ]
[ 465, 1133, 619, 617, 1003, 203, 465, 7744, 619, 617, 3812, 203, 4683, 23164, 280, 225, 35, 203, 3459, 23164, 280, 225, 43, 43, 43, 43, 203, 81, 39532, 81, 521, 81, 22846, 280, 428, 2521, 30, 225, 37, 35, 30, 225, 36, 42, 30, 225, 37, 35, 30, 225, 37, 34, 30, 225, 37, 35, 30, 225, 37, 34, 30, 225, 37, 35, 30, 225, 37, 35, 30, 225, 37, 34, 30, 225, 37, 35, 30, 225, 37, 34, 30, 225, 37, 35, 79, 203, 81, 39532, 81, 37524, 81, 22846, 280, 428, 2521, 79, 203, 1199, 95, 280, 225, 34, 203, 979, 4406, 328, 617, 39532, 81, 521, 81, 22846, 77, 35, 44, 2786, 284, 617, 39532, 81, 37524, 81, 22846, 32, 1689, 26, 1199, 95, 27, 284, 3082, 95, 1454, 4406, 203, 4025, 3082, 95, 30, 4406, 203, 589, 617, 297, 81, 274, 368, 26, 4548, 711, 284, 313, 4548, 967, 225, 35, 415, 999, 368, 4947, 30, 813, 225, 34, 3107, 284, 442, 4947, 904, 225, 38, 610, 225, 34, 461, 308, 4548, 904, 225, 35, 34, 34, 863, 225, 34, 556, 4947, 904, 225, 38, 34, 34, 610, 225, 34, 27, 203, 589, 617, 6124, 81, 266, 81, 4548, 26, 4548, 711, 284, 313, 4548, 967, 1451, 432, 6935, 328, 4947, 308, 37, 40, 40, 415, 312, 999, 368, 4947, 30, 813, 225, 37, 40, 39, 36875, 284, 442, 225, 37, 40, 39, 474, 617, 297, 81, 274, 368, 26, 4548, 27, 203, 589, 617, 6124, 81, 5553, 81, 4548, 26, 4548, 711, 284, 313, 4548, 967, 1451, 432, 6935, 2670, 32046, 225, 35, 270, 432, 4947, 3107, 284, 533, 280, 4947, 429, 225, 35, 284, 442, 533, 28, 37, 40, 39, 474, 533, 306, 38, 429, 533, 306, 35, 34, 34, 474, 533, 306, 38, 34, 34, 203, 589, 617, 6124, 81, 266, 81, 5904, 26, 4548, 30, 6811, 711, 284, 313, 4548, 30, 6811, 967, 1451, 432, 6935, 328, 688, 6811, 328, 688, 4947, 3107, 284, 1201, 225, 35, 2511, 6811, 2511, 225, 35, 36, 30, 6811, 284, 415, 6811, 610, 225, 36, 461, 617, 297, 81, 274, 368, 26, 4548, 711, 291, 442, 225, 36, 43, 284, 442, 617, 39532, 81, 521, 81, 22846, 77, 5904, 79, 203, 589, 617, 6124, 81, 5553, 81, 5904, 26, 4548, 30, 6811, 711, 284, 313, 4548, 30, 6811, 967, 1451, 432, 6935, 328, 4947, 42177, 1932, 5808, 432, 6811, 3107, 284, 415, 646, 225, 35, 2511, 6811, 2511, 225, 35, 36, 44, 291, 3636, 10091, 463, 5904, 2298, 526, 328, 225, 35, 497, 35, 36, 370, 6811, 27, 284, 442, 617, 39532, 81, 37524, 81, 22846, 77, 5904, 79, 474, 308, 5904, 848, 225, 36, 461, 617, 297, 81, 274, 368, 26, 4548, 490, 203, 589, 617, 107, 954, 36, 655, 26, 4548, 30, 6811, 30, 5808, 711, 284, 313, 4548, 30, 6811, 30, 5808, 967, 40127, 30, 31286, 225, 34, 35, 31, 19264, 31, 34, 34, 34, 35, 619, 5808, 225, 35, 3107, 284, 415, 646, 225, 35, 2511, 6811, 2511, 225, 35, 36, 44, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 3, 0, 1, 1, 2, 2, 3, 0, 3, 3, 2, 2, 3, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 0, 3, 3, 2, 2, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 2, 4, 3, 2, 1, 1, 6, 6, 6, 6, 6, 5, 6, 5, 6, 6, 5, 2, 2, 5, 4, 4, 0, 1, 1, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 6, 6, 7, 5, 5, 6, 4, 4, 9, 8, 8, 9, 9, 9, 7, 7, 8, 6, 6, 8, 8, 9, 9, 9, 7, 7, 8, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 4, 5, 5, 6, 2, 2, 3, 7, 8, 8, 8, 6, 6, 7, 8, 5, 5, 6, 7, 7, 7, 4, 4, 5, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 4, 4, 4, 4, 5, 5, 3, 3, 2, 2, 3, 5, 5, 6, 4, 4, 6, 6, 6, 6, 6, 7, 6, 3, 3, 5, 6, 6, 2, 2, 3, 5, 5, 5, 5, 5, 4, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 6, 5, 5, 5, 5, 6, 6, 3, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 6, 6, 6, 6, 6, 5, 6, 5, 4, 4, 8, 7, 7, 8, 6, 6, 8, 8, 8, 8, 8, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 6, 5, 5, 5, 5, 6, 6, 3, 3 ]
[ 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 9, 2, 2, 11, 11, 2, 2, 13, 13, 2, 2, 15, 15, 2, 2, 17, 17, 2, 2, 19, 19, 2, 2, 21, 21, 2, 2, 23, 23, 2, 2, 25, 25, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 3, 0, 2, 3, 7, 7, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 8, 8, 0, 1, 1, 0, 9, 9, 1, 1, 1, 1, 2, 1, 2, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 10, 10, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 11, 11, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 2, 4, 4, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 12, 12, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 4, 4, 1, 1, 4, 4, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 4, 4, 3, 0, 0, 0, 0, 0, 1, 2, 1, 0, 13, 13, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 14, 14, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 14, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 0, 1, 1, 1, 1, 4, 4, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 2304, 1188, 308, 284, 9921, 81, 407, 30, 284, 5063, 81, 916, 30, 284, 622, 81, 2543, 81, 1170, 81, 4890, 30, 284, 15218, 271, 924, 30, 203, 27, 203, 823, 27205, 1164, 55, 26, 1120, 16653, 711, 284, 12265, 81, 2474, 280, 330, 7598, 98, 25, 284, 12265, 81, 12344, 280, 330, 14849, 19767, 4595, 14346, 40071, 25, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 12456, 33, 6155, 8169, 7598, 98, 8169, 18470, 557, 110, 1338, 4165, 18470, 12390, 14351, 86, 29, 4242, 12456, 33, 6155, 4242, 8088, 49, 66, 46, 314, 5213, 86, 29, 9905, 284, 617, 24685, 280, 7316, 291, 330, 965, 950, 330, 525, 555, 44772, 32, 7598, 98, 32, 557, 33, 35, 43, 38, 39, 37, 40, 33, 91, 31, 509, 905, 31, 431, 85, 31, 35, 37, 370, 291, 330, 954, 39, 950, 330, 42, 2321, 39, 35, 42, 85, 35, 39, 87, 39, 1152, 37, 36, 38360, 42, 1199, 38, 34, 34, 3455, 43, 36, 35, 30510, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 35, 43, 38, 39, 37, 40, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 43557, 302, 25246, 34655, 30, 439, 1105, 905, 8880, 337, 3455, 32, 225, 35, 37, 370, 324, 330, 2310, 950, 330, 954, 39, 44, 41, 40, 40, 38, 43, 86, 36, 34, 35, 38, 88, 40, 39, 85, 43, 43, 38, 41, 41, 864, 35, 41, 88, 36, 37, 83, 38, 14463, 370, 291, 801, 284, 801, 301, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 7598, 98, 32, 557, 33, 13636, 31, 3374, 31, 864, 31, 41578, 31, 762, 31, 91, 31, 4021, 24476, 31, 283, 33, 35, 41, 43, 35, 40, 35, 41, 40, 370, 291, 330, 954, 39, 950, 330, 84, 34, 34, 34, 39, 84, 39, 38, 36, 87, 39, 84, 38, 286, 40, 38, 37, 83, 43, 40, 43, 34, 37, 36, 40, 360, 35, 36, 39, 41, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 35, 41, 43, 35, 40, 35, 41, 40, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 70, 12453, 570, 271, 108, 12670, 31121, 83, 7214, 87, 8626, 1772, 9525, 12670, 1288, 6860, 290, 15582, 343, 1154, 97, 25272, 42996, 10127, 401, 370, 324, 330, 2310, 950, 330, 70, 12453, 570, 271, 108, 12670, 31121, 83, 7214, 87, 8626, 1772, 9525, 12670, 1288, 6860, 290, 15582, 343, 1154, 97, 25272, 42996, 10127, 401, 370, 291, 801, 284, 801, 301, 291, 588, 1938, 804, 438, 310, 44, 330, 525, 555, 44772, 32, 7598, 98, 32, 557, 33, 36, 36, 41, 34, 38, 42, 42, 41, 33, 34, 42, 35, 36, 36, 34, 35, 39, 31, 35, 39, 34, 34, 370, 291, 330, 954, 39, 950, 330, 2161, 40, 83, 38, 41, 34, 39, 33150, 35, 38, 42, 43, 36163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 5, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 9, 9, 9, 7, 7, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 4, 4, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 2, 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, 2, 3, 3, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 7, 0, 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, 3, 3, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 0, 1, 1 ]
[ 1070, 5780, 2825, 1188, 5780, 2825, 203, 465, 4281, 1260, 619, 2361, 203, 465, 25312, 834, 203, 1070, 25312, 834, 1188, 390, 342, 834, 203, 1070, 18971, 1188, 2908, 81, 2387, 203, 1070, 18971, 32, 407, 32, 13621, 1188, 570, 3969, 203, 1070, 25312, 834, 1188, 2899, 203, 1070, 18971, 1188, 24014, 203, 465, 7138, 203, 465, 22045, 36, 203, 465, 802, 203, 465, 7744, 203, 465, 5237, 203, 465, 2322, 203, 3308, 834, 280, 390, 342, 834, 440, 28206, 8246, 657, 203, 50, 3308, 834, 32, 2795, 26, 2539, 47, 1815, 27, 203, 589, 7692, 26, 784, 30, 636, 711, 284, 2965, 280, 313, 525, 555, 1499, 32, 16194, 41087, 1316, 32, 508, 33, 1055, 32, 1317, 49, 1906, 47, 1903, 24, 1903, 73, 347, 284, 2965, 280, 2965, 474, 636, 284, 1789, 280, 22045, 36, 32, 305, 33786, 26, 2468, 27, 284, 4159, 280, 1789, 32, 850, 346, 284, 3390, 280, 3177, 284, 4159, 280, 4159, 77, 916, 32, 1809, 10385, 507, 443, 347, 509, 98, 1267, 413, 7831, 79, 284, 4159, 280, 4159, 77, 916, 32, 1809, 463, 525, 555, 7831, 79, 284, 4159, 280, 4159, 2867, 916, 32, 1809, 33103, 12357, 284, 1789, 280, 22045, 36, 32, 305, 33786, 26, 916, 27, 284, 4159, 280, 1789, 32, 850, 346, 284, 4159, 280, 4159, 77, 916, 32, 1809, 10385, 98, 804, 347, 16194, 62, 10352, 1316, 6775, 20, 7831, 79, 284, 4159, 280, 4159, 77, 916, 32, 1809, 463, 22639, 474, 225, 35, 10056, 284, 4159, 280, 4159, 2867, 916, 32, 1809, 463, 377, 98, 48, 12357, 284, 4159, 280, 4159, 32, 3227, 10374, 839, 9601, 2706, 96, 657, 284, 4159, 280, 4159, 32, 3227, 10374, 839, 1681, 392, 2706, 96, 657, 284, 6793, 280, 225, 34, 32, 34, 34, 284, 2401, 81, 1112, 280, 3330, 284, 420, 280, 5780, 2825, 346, 284, 8153, 280, 4159, 32, 3227, 5528, 96, 392, 313, 18276, 2998, 440, 7788, 284, 22318, 280, 2069, 26, 4068, 27, 284, 28893, 280, 225, 34, 284, 436, 3594, 36, 328, 8153, 44, 291, 1596, 44, 324, 3594, 280, 420, 32, 311, 11731, 26, 1112, 36, 32, 5729, 1157, 324, 1596, 44, 400, 3594, 280, 3594, 32, 3227, 440, 2735, 392, 5335, 657, 324, 2940, 44, 400, 3097, 324, 1596, 44, 400, 3594, 280, 3594, 32, 7393, 26, 800, 32, 2682, 1545, 13961, 1010, 471, 802, 32, 98, 24661, 293, 324, 2940, 44, 400, 3097, 324, 28893, 1454, 225, 35, 324, 415, 26, 1112, 863, 3594, 32, 7201, 22805, 400, 4036, 324, 415, 26, 1112, 610, 7746, 44, 400, 4036, 324, 415, 26, 500, 32, 983, 32, 4658, 12004, 2613, 33, 1112, 5681, 474, 3594, 474, 4939, 2760, 2131, 44, 400, 1344, 280, 2156, 12004, 2613, 33, 1112, 5681, 474, 3594, 474, 4939, 2760, 392, 330, 100, 683, 400, 6793, 280, 6793, 474, 629, 26, 1808, 26, 878, 32, 850, 5156, 400, 1344, 32, 2679, 346, 324, 813, 44, 400, 2401, 5020, 280, 6793, 400, 415, 3594, 610, 330, 59, 950, 528, 588, 98, 6019, 6793, 280, 6793, 474, 225, 35, 400, 415, 3594, 610, 330, 84 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 2, 2, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 2, 2, 4, 4, 4, 6, 6, 6, 0, 1, 4, 4, 3, 4, 3, 5, 4, 5, 3, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 2, 2, 3, 3, 0, 0, 2, 2, 5, 4, 5, 5, 4, 5, 4, 0, 0, 2, 2, 4, 5, 4, 0, 0, 2, 2, 0, 0, 2, 2, 3, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 0, 0, 2, 2, 3, 7, 6, 7, 6, 8, 8, 8, 3, 0, 0, 2, 2, 3, 7, 6, 7, 6, 8, 0, 0, 2, 2, 5, 4, 5, 5, 4, 5, 4, 0, 0, 2, 2, 4, 5, 4, 0, 0, 2, 2, 3, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 0, 0, 2, 2, 3, 8, 7, 8, 7, 9, 5, 5, 6, 4, 0, 0, 2, 2, 3, 7, 6, 7, 6, 8, 8, 8, 8, 0, 0, 2, 2, 4, 5, 4, 6, 6, 4, 7, 6, 0, 0, 2, 2, 4, 5, 4, 6, 6, 6, 4, 7, 6, 0, 0, 2, 2, 3, 3, 3, 3, 0, 0, 3, 3, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 6, 7, 6, 9, 8, 6, 8, 5, 4, 6, 0, 0, 2, 2, 4, 5, 4, 0, 0, 2, 2, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 6, 7, 7, 6, 9, 9, 8, 9, 8, 2, 2, 3, 3, 3, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 3, 4, 4, 4, 6, 2, 3, 3, 3, 7, 6, 9, 9, 9, 9, 11, 11, 11, 11, 12, 12, 10, 10, 10, 9, 10, 8, 3, 4, 4, 4, 6, 2, 5, 4, 4, 4, 2, 3, 3, 6, 5, 8, 8, 8, 4, 3, 5, 2, 3, 3, 6, 5, 7, 4, 3, 5, 2, 3, 3, 8, 8, 8, 8, 7, 10, 10, 10, 10, 10, 8, 9, 7, 9, 9, 6, 4, 3, 7, 6, 8, 12, 12, 12, 12, 12, 10, 11, 9, 11, 11, 11, 8, 10, 10, 4, 7, 6, 8, 7, 9, 9, 11, 11, 14, 14, 14, 11, 4, 8, 8, 8, 7, 3, 4, 4, 4, 8, 8, 7, 8, 5, 6, 8, 7, 7, 9, 9, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 8, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 0, 9, 9, 0, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 13, 13, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 15, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 18, 1, 18, 18, 18, 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, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 3, 3, 3, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 3, 2, 1, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 1, 0, 0, 2, 1, 4, 0, 0, 5, 5, 0, 1, 1, 1, 5, 0, 0, 6, 6, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 6, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 3, 0, 0, 2, 1, 6, 4, 4, 4, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 465, 2322, 203, 465, 45301, 983, 203, 1070, 5034, 359, 11372, 32, 11452, 1188, 554, 11372, 984, 203, 1070, 5034, 359, 11372, 32, 359, 11372, 1188, 1565, 11372, 2554, 203, 465, 309, 1226, 864, 704, 203, 1070, 309, 1226, 864, 704, 1188, 18564, 30, 4082, 203, 1070, 309, 1226, 864, 704, 32, 1055, 483, 32, 42913, 81, 1163, 1188, 18178, 527, 81, 16481, 1996, 203, 1070, 309, 1226, 100, 381, 32, 4313, 32, 8644, 1188, 24749, 203, 1070, 309, 1226, 100, 381, 32, 4313, 32, 11452, 1188, 538, 30, 21138, 4311, 6692, 984, 203, 823, 554, 11372, 38684, 299, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 2848, 280, 18564, 32, 2682, 81, 2848, 346, 284, 665, 5630, 81, 9380, 299, 81, 38738, 26, 784, 30, 554, 11372, 81, 668, 30, 1938, 81, 965, 711, 291, 31010, 299, 81, 38738, 280, 1605, 291, 554, 11372, 81, 1237, 280, 1565, 11372, 2554, 26, 101, 1226, 864, 704, 32, 10079, 81, 23294, 30, 309, 1226, 864, 704, 32, 1310, 7409, 70, 81, 14247, 27, 291, 1596, 44, 324, 646, 81, 6051, 318, 81, 2245, 280, 3330, 324, 415, 309, 1226, 864, 704, 32, 1310, 7409, 70, 81, 12455, 81, 9052, 863, 40496, 400, 4253, 81, 38738, 280, 554, 11372, 81, 1237, 32, 359, 11372, 1104, 440, 5207, 33, 4170, 33, 38738, 49, 17042, 47, 2620, 657, 556, 1605, 400, 415, 309, 1226, 864, 704, 32, 1310, 7409, 70, 81, 22770, 4613, 81, 2474, 44, 528, 646, 81, 6051, 318, 81, 2245, 280, 554, 11372, 81, 1237, 32, 359, 11372, 1104, 440, 3707, 5681, 474, 309, 1226, 864, 704, 32, 1310, 7409, 70, 81, 19452, 474, 2430, 7047, 5681, 474, 309, 1226, 864, 704, 32, 1310, 7409, 70, 81, 22770, 4613, 81, 2474, 474, 2430, 3028, 657, 556, 1605, 400, 813, 44, 528, 4082, 32, 751, 440, 854, 11372, 46422, 636, 438, 3502, 392, 4082, 32, 2897, 27, 324, 415, 554, 11372, 81, 668, 646, 328, 3037, 32573, 392, 313, 890, 2245, 392, 313, 890, 26990, 18270, 400, 2723, 81, 2245, 280, 25687, 3248, 347, 474, 596, 26, 35, 34, 34, 474, 2069, 26, 1206, 81, 6051, 318, 81, 2245, 490, 474, 14248, 20, 324, 813, 44, 400, 2723, 81, 2245, 280, 313, 12791, 324, 9830, 280, 554, 11372, 81, 1237, 32, 359, 11372, 1104, 26, 1637, 81, 965, 474, 2723, 81, 2245, 474, 313, 17042, 47, 2620, 657, 556, 1605, 324, 415, 309, 1226, 864, 704, 32, 1310, 7409, 70, 81, 12455, 81, 9052, 863, 40496, 400, 4253, 81, 38738, 280, 554, 11372, 81, 1237, 32, 359, 11372, 1104, 440, 5207, 33, 4170, 33, 38738, 49, 17042, 47, 2620, 657, 556, 1605, 324, 436, 2519, 328, 9830, 44, 400, 1596, 44, 528, 415, 330, 2245, 25, 646, 328, 2519, 44, 715, 2519, 710, 2245, 785, 280, 2519, 528, 415, 309, 1226, 864, 704, 32, 1310, 7409, 70, 81, 12455, 81, 9052, 863, 40496, 715, 415, 2519, 710, 2245, 4902, 3631, 4902, 7598, 1199, 785, 646, 328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 6, 6, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 10, 10, 10, 10, 9, 10, 10, 10, 8, 8, 10, 10, 10, 9, 10, 10, 10, 10, 10, 8, 4, 4, 5, 5, 5, 9, 9, 9, 9, 9, 8, 8, 6, 6, 7, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 11, 11, 10, 10, 14, 14, 14, 13, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 11, 11, 8, 8, 9, 11, 11, 11, 10, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 13, 13, 13, 13, 13, 12, 12, 16, 16, 16, 15, 16, 16, 16, 15, 21, 21, 19, 19, 21, 21, 21, 20, 21, 21, 21, 21, 21, 18, 18, 20, 20, 17, 17, 19, 19, 19, 18, 19, 19, 19, 19, 19, 19, 19, 19, 16, 16, 18, 18, 13, 13, 9, 9, 10, 10, 10, 14, 15, 14, 16, 16, 16, 16, 16, 16, 16, 14, 15, 16, 14, 6, 6, 7, 9, 9, 9, 8, 8, 8, 11, 11, 9, 11, 11, 11, 9, 11, 11, 11, 7, 7, 11, 11, 10, 10, 14, 14, 12, 12, 14, 16, 16, 16, 15, 15, 17, 18, 18, 18, 18, 18, 18, 17, 11, 11, 13, 7, 7, 8, 8, 8, 12, 12, 11, 11, 13, 6, 6, 8, 8, 12, 12, 12, 11, 12, 12, 12, 11, 14, 14, 14, 13, 13, 14, 14, 12, 12, 14, 14, 14, 14, 9, 9, 6, 6, 7, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 7, 11, 11, 10, 10, 14, 14, 14, 13, 14, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 11, 11, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 11, 14, 14, 12, 12, 12, 11, 11, 11, 15, 17, 17, 14, 14, 10, 10, 11, 14, 14, 14, 13, 14, 14, 14, 14, 14, 14, 14, 12, 12, 11, 11, 13, 17, 19, 19, 18, 18, 17, 17, 17, 14, 14 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 7, 7, 0, 0, 0, 1, 2, 2, 1, 4, 4, 4, 7, 7, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 1, 2, 1, 4, 8, 8, 0, 9, 9, 0, 0, 0, 1, 2, 1, 4, 9, 9, 9, 9, 0, 0, 0, 0, 10, 10, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 2, 2, 2, 2, 1, 4, 4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1 ]
[ 465, 15798, 203, 1070, 938, 15810, 2969, 265, 32, 12258, 1188, 624, 8692, 30, 34571, 6098, 2056, 30, 551, 13796, 24728, 68, 2128, 271, 30, 559, 8431, 53, 290, 748, 8247, 30, 399, 4891, 661, 811, 300, 692, 30, 4622, 304, 69, 870, 203, 1070, 3312, 32, 22705, 32, 17026, 32, 858, 81, 8774, 1188, 2108, 10262, 203, 1070, 3312, 32, 22705, 32, 17026, 32, 858, 81, 1732, 81, 22672, 1188, 19205, 13976, 203, 1070, 938, 15810, 2969, 265, 32, 22705, 32, 17026, 32, 20000, 81, 1066, 1188, 24341, 5195, 101, 203, 823, 2108, 16745, 6143, 26, 7233, 13976, 30, 15798, 32, 7233, 711, 284, 665, 894, 81, 5522, 81, 33960, 26, 784, 711, 291, 4181, 280, 2108, 10262, 922, 2682, 81, 3626, 346, 291, 630, 32, 669, 81, 887, 1785, 26, 3626, 30, 225, 34, 30, 624, 8692, 1026, 34571, 6098, 2056, 1157, 291, 630, 32, 669, 81, 887, 1785, 26, 3626, 30, 225, 35, 30, 551, 13796, 24728, 68, 2128, 271, 1157, 291, 630, 32, 5299, 26, 36, 30, 2069, 26, 3626, 32, 14297, 77, 34, 997, 887, 1785, 490, 291, 630, 32, 5299, 26, 35, 30, 2069, 26, 3626, 32, 14297, 77, 35, 997, 887, 1785, 490, 284, 665, 894, 81, 6390, 81, 17026, 26, 784, 711, 291, 4181, 280, 2108, 10262, 922, 2682, 81, 3626, 346, 291, 630, 32, 669, 81, 887, 1785, 26, 3626, 30, 225, 35, 30, 624, 8692, 1026, 34571, 6098, 2056, 1157, 291, 630, 32, 669, 81, 887, 1785, 26, 3626, 30, 225, 34, 30, 551, 13796, 24728, 68, 2128, 271, 1157, 291, 630, 32, 2682, 81, 464, 81, 2480, 26, 3626, 27, 291, 4181, 32, 1066, 81, 6270, 81, 389, 346, 291, 630, 32, 862, 81, 887, 1785, 26, 3626, 32, 14297, 77, 35, 614, 313, 26970, 7645, 2056, 657, 291, 630, 32, 862, 81, 887, 1785, 26, 3626, 32, 14297, 77, 34, 614, 313, 46539, 24728, 559, 2128, 271, 657, 284, 665, 894, 81, 12817, 81, 1977, 26, 784, 711, 291, 4181, 280, 2108, 10262, 922, 2682, 81, 3626, 346, 291, 630, 32, 669, 81, 887, 1785, 26, 3626, 30, 225, 34, 30, 551, 13796, 24728, 68, 2128, 271, 1026, 559, 8431, 53, 290, 748, 8247, 1157, 291, 630, 32, 2682, 81, 464, 81, 2480, 26, 3626, 27, 291, 630, 32, 669, 81, 887, 1785, 26, 3626, 30, 225, 34, 30, 399, 4891, 661, 811, 300, 692, 1157, 291, 4181, 32, 1066, 81, 6270, 81, 389, 346, 284, 665, 894, 81, 15226, 81, 7370, 26, 784, 711, 291, 16286, 280, 428, 1765, 304, 69, 870, 7662, 291, 4195, 81, 1066, 101, 280, 24341, 5195, 101, 26, 12258, 30, 225, 35, 34, 30, 2608, 81, 15226, 81, 7370, 47, 1815, 27, 291, 630, 32, 5299, 26, 35, 30, 2069, 26, 20000, 81, 1066, 101, 32, 1066, 101, 5156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 9, 9, 7, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 7, 8, 7, 7, 9, 13, 12, 13, 11, 12, 11, 11, 11, 9, 4, 4, 7, 8, 7, 8, 7, 7, 9, 13, 12, 13, 11, 12, 11, 11, 11, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 9, 9, 7, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 8, 7, 10, 9, 10, 8, 9, 8, 7, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 7, 10, 9, 10, 8, 9, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 10, 10, 9, 9, 9, 8, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 7, 8, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 9, 9, 9, 4, 4, 7, 7, 7, 6, 6, 8, 8, 8, 9, 8, 8, 9, 9, 8, 8, 10, 10, 10, 10, 9, 10, 8, 4, 4, 7, 8, 7, 8, 7, 7, 9, 12, 12, 12, 12, 11, 12, 12, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 6, 6, 2, 2, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 3, 3, 0, 0, 4, 4, 0, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 4, 4, 0, 0, 0, 5, 5, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 5, 5, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 0, 1, 1, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 0, 0, 0, 0, 5, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5237, 203, 1070, 28520, 32, 8524, 32, 4882, 32, 3613, 1188, 7841, 30, 7502, 203, 1070, 9991, 32, 3477, 32, 2304, 1188, 35603, 8112, 2526, 30, 35603, 4976, 2526, 30, 7703, 7233, 203, 1439, 81, 3477, 81, 3613, 280, 7502, 346, 203, 24708, 290, 81, 2122, 81, 3613, 280, 7502, 346, 203, 24708, 290, 81, 3893, 81, 3613, 280, 7502, 346, 203, 1439, 81, 3477, 81, 452, 81, 3613, 280, 301, 284, 330, 48960, 899, 950, 1695, 81, 3477, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 950, 1695, 81, 3477, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 32, 20254, 1965, 950, 1695, 81, 3477, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 950, 1695, 81, 3477, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 950, 1695, 81, 3477, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 3142, 950, 1695, 81, 3477, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 3142, 32, 1163, 950, 1695, 81, 3477, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 3893, 950, 1695, 81, 3477, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 3893, 32, 24708, 290, 81, 3893, 950, 1695, 81, 3477, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 3893, 32, 24708, 290, 81, 3893, 32, 24708, 290, 81, 3893, 950, 310, 44162, 81, 3893, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 2122, 950, 1695, 81, 3477, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 2122, 32, 24708, 290, 81, 2122, 950, 1695, 81, 3477, 81, 3613, 30, 284, 330, 48960, 899, 32, 508, 32, 20254, 1965, 32, 1299, 29774, 32, 24708, 290, 32, 2122, 32, 24708, 290, 81, 2122, 32, 24708, 290, 81, 2122, 950, 310, 44162, 81, 2122, 81, 3613, 30, 203, 111, 203, 24708, 290, 81, 1439, 81, 2675, 265, 280, 7841, 32, 2665, 26, 3731, 32, 3477, 30, 1695, 81, 3477, 81, 452, 81, 3613, 27, 203, 823, 2108, 2459, 26, 2459, 7233, 711, 284, 665, 3803, 26, 784, 711, 291, 623, 630, 32, 23895, 26, 1045, 21581, 4976, 2526, 27, 619, 13489, 44, 324, 630, 32, 1647, 32, 1831, 346, 291, 1056, 280, 13489, 32, 3893, 32, 1132, 77, 34, 79, 291, 630, 32, 6549, 26, 1267, 710, 7815, 2188, 1056, 27, 291, 442, 1056, 284, 665, 35175, 26, 784, 30, 5372, 47, 2700, 711, 291, 623, 630, 32, 23895, 26, 1045, 21581, 8112, 2526, 27, 619, 13489, 44, 324, 630, 32, 1647, 32, 1831, 346, 291, 1056, 280, 13489, 32, 3893, 32, 1132, 77, 34, 79, 291, 442, 1056, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 5, 6, 4, 4, 5, 5, 5, 5, 5, 5, 4, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 10, 11, 10, 11, 11, 11, 11, 10, 8, 8, 5, 5, 5, 10, 11, 9, 10, 9, 4, 4, 6, 6, 9, 10, 8, 9, 7, 8, 7, 4, 4, 7, 8, 7, 9, 8, 10, 10, 7, 7, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 10, 11, 10, 11, 11, 11, 11, 10, 8, 8, 5, 5, 5, 10, 11, 9, 10, 9, 4, 4, 6, 6, 9, 10, 8, 9, 7, 8, 7, 4, 4, 5, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 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, 1, 2, 17, 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, 1, 1, 1, 1, 1, 1, 2, 19, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 21, 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, 1, 2, 23, 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, 1, 1, 1, 1, 1, 1, 2, 25, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 1, 0, 8, 8, 1, 2, 1, 1, 2, 8, 8, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 1, 2, 1, 1, 4, 4, 3, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 4, 4, 2, 0 ]
[ 1070, 2108, 81, 2137, 81, 3273, 56, 6635, 1188, 273, 329, 81, 2592, 203, 465, 1133, 203, 589, 1673, 2137, 81, 1160, 26, 106, 30, 17976, 711, 284, 588, 264, 40834, 280, 816, 77, 34, 79, 225, 588, 264, 26963, 280, 816, 77, 35, 79, 225, 588, 17946, 46764, 280, 816, 77, 36, 79, 225, 588, 264, 5220, 280, 816, 77, 37, 79, 225, 588, 17946, 29528, 959, 280, 17976, 32, 15431, 959, 588, 264, 18389, 262, 280, 308, 15422, 474, 5220, 27, 474, 225, 35, 225, 588, 264, 18334, 81, 69, 280, 46764, 474, 225, 35, 263, 588, 284, 588, 264, 29528, 959, 280, 17976, 32, 15431, 959, 588, 40196, 588, 264, 29528, 959, 32, 4496, 2137, 32, 4358, 81, 7146, 32, 12657, 854, 1951, 280, 18389, 284, 588, 264, 29528, 959, 32, 4496, 2137, 32, 4358, 81, 7146, 32, 31531, 8357, 2924, 26, 15431, 959, 32, 4496, 2137, 32, 8357, 4358, 7146, 30, 18334, 81, 69, 27, 284, 588, 264, 29528, 959, 32, 4496, 2137, 32, 2137, 32, 2137, 4055, 7159, 32, 2710, 5818, 32, 1097, 463, 435, 11981, 559, 5262, 1814, 17357, 882, 280, 40834, 284, 588, 264, 29528, 959, 32, 4496, 2137, 32, 2137, 32, 2137, 4055, 7159, 32, 2710, 5818, 32, 1097, 463, 5544, 335, 417, 559, 5262, 1814, 17357, 882, 280, 26963, 284, 588, 264, 29528, 959, 32, 4496, 2137, 32, 2137, 4055, 7159, 32, 2529, 346, 5286, 17946, 588, 264, 4489, 1533, 280, 29528, 959, 32, 15431, 1290, 32, 4077, 3092, 32, 4055, 7159, 32, 11208, 32, 1097, 26, 34, 547, 2137, 4055, 7159, 32, 53, 2548, 609, 424, 3886, 3701, 415, 4489, 1533, 610, 225, 35, 44, 291, 588, 351, 7723, 9375, 280, 273, 329, 81, 2592, 26, 14764, 27, 588, 291, 588, 351, 394, 362, 81, 2452, 261, 280, 225, 34, 32, 34, 34, 35, 261, 588, 351, 551, 108, 81, 7881, 101, 280, 225, 34, 32, 34, 34, 35, 291, 2252, 81, 8681, 81, 70, 362, 81, 2452, 280, 29528, 959, 32, 6334, 1862, 32, 4496, 728, 332, 32, 1722, 63, 23628, 20709, 882, 77, 35, 79, 4456, 2252, 81, 8681, 81, 43943, 81, 9034, 102, 225, 280, 29528, 959, 32, 6334, 1862, 32, 7881, 101, 32, 1722, 63, 23628, 20709, 882, 77, 34, 79, 291, 415, 261, 2252, 81, 8681, 81, 70, 362, 81, 2452, 848, 225, 394, 362, 81, 2452, 44, 324, 341, 35, 280, 308, 982, 81, 8681, 81, 70, 362, 81, 2452, 429, 394, 362, 81, 2452, 4586, 35, 87, 39, 291, 813, 44, 324, 341, 35, 280, 225, 34, 291, 415, 2252, 81, 8681, 81, 43943, 81, 9034, 102, 848, 551, 108, 81, 7881, 101, 44, 324, 341, 36, 280, 308, 982, 81, 8681, 81, 43943, 81, 9034, 102, 429, 551, 108, 81, 7881, 101, 4586, 35, 87, 39, 291, 813, 44, 324, 341, 36, 280, 225, 34, 291, 588, 2407, 291, 394, 1186, 280, 7723, 9375, 32, 17769, 474, 341, 35, 474, 341, 36, 284, 813, 44, 225, 588, 291, 394, 1186, 280, 225, 35, 87, 39, 284, 442, 308, 17769, 27, 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 ]
[ 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 5, 6, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 5, 4, 4, 5, 6, 6, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 3, 3, 3, 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, 3, 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, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 5, 4, 4, 5, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 6, 6, 11, 10, 11, 11, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 11, 10, 11, 11, 9, 10, 10, 8, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 7, 5, 5, 5, 9, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 10, 10, 10, 10, 5, 5, 6, 6, 6, 10, 9, 9, 10, 4, 4, 5, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 5, 5, 5, 9, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 10, 10, 10, 10, 5, 5, 6, 6, 6, 10, 9, 9, 10, 4, 4, 5, 4, 4, 7, 6, 6, 10, 9, 10, 8, 8, 9, 7, 7, 8, 3, 3, 4, 4, 4, 4, 4, 8, 7, 7, 8, 8, 8, 2, 2, 3, 5, 4, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 0, 0, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 0, 0, 2, 2, 2, 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, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 11, 0, 1, 1, 2, 11, 11, 11, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 11, 11, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 5, 5, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 3, 3, 4, 4, 4, 0, 0, 0, 2, 5, 5, 4, 5, 5, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 11, 11, 6, 6, 6, 6, 6, 0, 0, 0, 2, 2, 2, 5, 5, 12, 1, 1, 0, 0, 0, 0 ]
[ 465, 316, 30, 2322, 30, 5237, 203, 1070, 2919, 2208, 1188, 3659, 2825, 203, 1070, 6436, 1188, 319, 203, 465, 16539, 203, 1070, 47961, 1188, 319, 203, 823, 1936, 4607, 499, 284, 8999, 280, 1605, 10065, 7798, 81, 878, 280, 1665, 3701, 1451, 280, 225, 34, 3701, 48479, 81, 5176, 81, 17965, 280, 225, 34, 284, 6717, 81, 5176, 81, 17965, 280, 225, 34, 284, 1650, 668, 280, 1605, 284, 1650, 668, 81, 45058, 280, 1605, 284, 665, 1156, 1664, 3207, 784, 30, 2171, 30, 2232, 5176, 711, 291, 630, 32, 2171, 280, 1451, 4456, 630, 32, 7910, 280, 1605, 291, 630, 32, 2232, 5176, 280, 1932, 5176, 284, 665, 1156, 466, 3207, 784, 711, 291, 415, 26, 784, 32, 8319, 81, 878, 610, 1665, 711, 324, 630, 32, 8319, 81, 878, 280, 3330, 324, 1932, 658, 280, 630, 32, 2232, 5176, 324, 436, 5809, 328, 630, 32, 7910, 44, 400, 415, 1932, 658, 863, 35, 44, 528, 630, 32, 8319, 81, 878, 474, 347, 2360, 528, 1932, 658, 280, 225, 34, 400, 630, 32, 8319, 81, 878, 1454, 11608, 575, 91, 6757, 466, 26, 3656, 32, 2171, 34607, 313, 400, 415, 5809, 32, 2142, 610, 34863, 528, 630, 32, 8319, 81, 878, 1454, 313, 461, 308, 426, 489, 30, 58, 30, 4019, 30, 53, 30, 65, 27, 313, 400, 415, 5809, 32, 2142, 610, 313, 69, 563, 528, 630, 32, 8319, 81, 878, 1454, 313, 461, 308, 1206, 636, 489, 30, 58, 30, 4019, 30, 53, 30, 65, 27, 313, 400, 415, 5809, 32, 5074, 863, 1665, 44, 528, 630, 32, 8319, 81, 878, 1454, 313, 461, 308, 5074, 6757, 466, 26, 3656, 32, 5074, 34607, 829, 313, 400, 630, 32, 8319, 81, 878, 1454, 313, 48612, 291, 442, 313, 277, 274, 4904, 5115, 466, 26, 784, 32, 2171, 29, 35, 7283, 392, 313, 5667, 26, 6757, 784, 32, 8319, 81, 878, 36998, 78, 96, 1963, 6757, 466, 26, 410, 26, 784, 32, 2171, 29, 35, 27253, 392, 4904, 5115, 466, 26, 784, 32, 2171, 29, 35, 34607, 78, 96, 20, 203, 589, 1491, 81, 575, 81, 4873, 26, 1772, 3607, 711, 4970, 2698, 4243, 280, 1605, 664, 932, 4243, 280, 1605, 664, 1672, 761, 280, 2156, 26, 1772, 3607, 1947, 100, 683, 664, 328, 4446, 280, 1672, 761, 32, 33232, 346, 664, 1672, 761, 32, 2679, 346, 664, 736, 280, 328, 4446, 77, 34, 997, 2998, 346, 664, 1672, 4873, 280, 22483, 1162, 410, 26, 1657, 26, 266, 4446, 77, 35, 19572, 471, 629, 26, 1657, 26, 575, 20092, 1808, 40, 38, 27, 664, 436, 1672, 426, 81, 1516, 328, 736, 44, 1568, 932, 4243, 32, 1689, 26, 1772, 426, 81, 1516, 27, 664, 436, 2698, 81, 1516, 328, 2155, 26, 410, 26, 1657, 26, 266, 4446, 77, 35, 44, 5259, 711, 1568, 458, 928, 280, 328, 4446, 77, 643, 81, 1516, 474, 225, 35, 79, 1568, 458, 14145, 401, 280, 458, 928, 32, 2998, 346, 1568, 458, 426, 280, 458, 14145, 401, 77, 34, 79, 1568, 736, 81, 1516, 280, 629, 26, 9121, 26, 643, 81, 1516, 490, 1568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 5, 4, 4, 5, 2, 2, 5, 4, 4, 2, 2, 5, 5, 5, 4, 4, 2, 2, 3, 4, 4, 5, 4, 5, 4, 5, 5, 4, 3, 3, 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, 3, 3, 6, 9, 8, 9, 9, 9, 7, 7, 6, 5, 5, 9, 10, 10, 10, 8, 8, 6, 6, 9, 8, 8, 9, 10, 10, 6, 6, 7, 7, 7, 8, 9, 7, 7, 7, 9, 11, 10, 11, 9, 9, 9, 13, 14, 14, 14, 12, 12, 14, 10, 10, 13, 12, 12, 13, 8, 8, 11, 12, 12, 12, 10, 10, 14, 14, 14, 14, 14, 16, 15, 16, 14, 13, 8, 8, 9, 11, 12, 10, 10, 9, 9, 13, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 8, 8, 9, 11, 12, 10, 10, 12, 12, 9, 9, 13, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 8, 8, 9, 11, 12, 10, 10, 9, 9, 9, 13, 14, 14, 14, 12, 12, 16, 16, 16, 16, 16, 16, 18, 17, 18, 16, 15, 15, 8, 8, 11, 12, 12, 12, 10, 10, 12, 4, 4, 5, 16, 16, 16, 16, 16, 16, 19, 18, 19, 17, 18, 16, 15, 15, 12, 14, 14, 13, 12, 13, 13, 13, 10, 13, 13, 12, 12, 11, 11, 13, 13, 16, 15, 16, 14, 15, 13, 10, 10, 10, 9, 9, 12, 11, 12, 10, 11, 9, 9, 9, 8, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 4, 4, 2, 2, 5, 4, 4, 2, 2, 5, 4, 4, 6, 7, 7, 6, 8, 8, 2, 2, 5, 4, 4, 7, 6, 7, 6, 2, 2, 6, 5, 6, 5, 2, 2, 4, 4, 8, 7, 8, 7, 7, 6, 2, 2, 5, 4, 4, 6, 9, 9, 11, 11, 13, 13, 12, 14, 13, 9, 7, 9, 11, 11, 12, 11, 7, 7, 7, 6, 2, 2, 3, 4, 4, 4, 3, 3, 3, 3, 3, 8, 7, 8, 7, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 3, 3, 5, 7, 7, 9, 9, 11, 11, 10, 12, 11, 10, 5, 3, 3, 7, 6, 6, 8, 7, 9, 9, 9, 8, 8, 9, 7, 4, 4, 7, 7, 6, 6, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 8, 7, 8, 7, 4, 4, 7, 7, 6, 6, 8, 10, 10, 11, 11, 11, 10, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 1, 5, 5, 5, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 7, 1, 1, 1, 2, 3, 2, 5, 5, 2, 7, 7, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 3, 3, 8, 1, 1, 1, 2, 8, 8, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 3, 3, 0, 0, 0, 2, 5, 5, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 5, 5, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 3, 0, 2, 1, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 4, 0, 2, 1, 1, 4, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 5, 5, 0, 2, 2, 2, 0, 0, 1, 4, 4, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 3, 3, 3, 1, 4, 4, 7, 1, 1, 1, 7, 7, 7, 7, 7, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 8, 1, 1, 8, 8, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 8, 8, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 5, 5, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 5 ]
[ 465, 15798, 203, 465, 2322, 32, 983, 203, 1070, 5592, 32, 48609, 1188, 6828, 3350, 619, 20523, 203, 1070, 6314, 1546, 32, 7101, 1188, 4450, 203, 823, 2108, 5972, 10770, 1792, 3196, 7183, 1222, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 7092, 26, 784, 711, 291, 894, 81, 983, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 35490, 4064, 761, 28154, 291, 1688, 81, 605, 280, 4450, 26, 324, 2322, 32, 983, 32, 2524, 26, 858, 81, 983, 30, 330, 605, 31, 3780, 31, 2388, 31, 1439, 1425, 324, 328, 81, 5566, 47, 1815, 291, 829, 291, 630, 32, 33966, 463, 1055, 32, 916, 370, 1688, 81, 605, 27, 291, 630, 32, 33966, 463, 7468, 370, 1688, 81, 605, 27, 291, 630, 32, 33966, 463, 1055, 32, 916, 370, 1688, 81, 605, 710, 7468, 3490, 291, 630, 32, 33966, 463, 5546, 370, 1688, 81, 605, 27, 291, 630, 32, 33966, 463, 1055, 32, 916, 370, 1688, 81, 605, 710, 5546, 3490, 291, 4159, 280, 20523, 32, 1070, 800, 26, 2024, 81, 605, 710, 1055, 32, 916, 3490, 291, 907, 81, 1637, 81, 7676, 280, 4159, 32, 32852, 440, 1548, 33, 507, 13283, 823, 1057, 3039, 37872, 338, 33, 374, 33, 83, 657, 291, 630, 32, 5299, 26, 36, 30, 2069, 26, 1574, 81, 1637, 81, 7676, 490, 291, 630, 32, 5299, 3247, 3780, 33, 9138, 33, 7468, 13093, 907, 81, 1637, 81, 7676, 77, 34, 997, 22765, 710, 6928, 3490, 291, 630, 32, 5299, 3247, 3780, 33, 9138, 33, 5546, 13093, 907, 81, 1637, 81, 7676, 77, 35, 997, 22765, 710, 6928, 3490, 291, 630, 32, 862, 81, 1574, 81, 1637, 81, 980, 6911, 26, 324, 1688, 81, 605, 710, 7468, 4902, 1055, 32, 916, 2188, 324, 313, 11936, 392, 324, 313, 10921, 1182, 322, 17776, 1938, 3107, 291, 829, 291, 630, 32, 862, 81, 1574, 81, 1637, 81, 980, 6911, 26, 324, 1688, 81, 605, 710, 5546, 4902, 1055, 32, 916, 2188, 324, 313, 5870, 392, 324, 313, 10921, 1182, 2624, 372, 7260, 1770, 3107, 291, 829, 284, 665, 1201, 81, 1574, 81, 1637, 81, 980, 6911, 26, 784, 30, 1795, 30, 2799, 81, 1311, 30, 2799, 81, 1548, 711, 291, 4159, 280, 20523, 32, 1070, 800, 26, 1286, 27, 291, 1780, 280, 4159, 32, 1809, 463, 1816, 33, 1311, 683, 291, 630, 32, 5299, 26, 3140, 81, 1311, 30, 1780, 32, 878, 32, 7201, 1157, 291, 3361, 280, 4159, 32, 1809, 463, 1548, 33, 98, 683, 291, 630, 32, 5299, 26, 3140, 81, 1548, 30, 3361, 32, 878, 32, 7201, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 1, 1, 4, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 4, 4, 7, 7, 6, 6, 8, 8, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 10, 10, 9, 10, 8, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 7, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 9, 9, 8, 10, 10, 4, 4, 7, 8, 7, 9, 9, 7, 8, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 9, 9, 8, 10, 10, 4, 4, 6, 6, 8, 9, 9, 8, 10, 10, 10, 9, 11, 11, 11, 11, 4, 4, 7, 7, 7, 7, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 8, 7, 7, 9, 10, 10, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 11, 11, 11, 11, 10, 11, 10, 10, 8, 10, 10, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 11, 11, 11, 11, 10, 11, 10, 10, 8, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 10, 10, 9, 11, 11, 10, 10, 10, 10, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 10, 10, 9, 11, 11, 10, 10, 10, 10, 7, 7, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 9, 9, 8, 9, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 10, 11, 9, 10, 9, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 10, 11, 9, 10, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 2, 4, 4, 0, 2, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 3, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 3, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 3, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2108, 57, 2983, 203, 9302, 69, 280, 2726, 2682, 370, 330, 46756, 683, 203, 858, 280, 2108, 57, 2983, 32, 1006, 57, 2983, 26, 17213, 47, 9302, 69, 27, 203, 1793, 2108, 57, 2983, 32, 3325, 6052, 14178, 20766, 950, 2550, 5556, 330, 15052, 66, 81, 44954, 36158, 950, 330, 35, 6040, 711, 334, 894, 32, 1945, 81, 24523, 463, 85, 4545, 32, 24523, 683, 334, 894, 32, 1832, 463, 85, 4545, 32, 24523, 683, 203, 2358, 280, 1524, 39275, 646, 3417, 78, 96, 2993, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 85, 4545, 370, 12532, 47, 2358, 27, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 85, 4545, 81, 2035, 370, 12532, 47, 2358, 27, 203, 858, 32, 7840, 346, 203, 1793, 2108, 57, 2983, 32, 3325, 6052, 14178, 20766, 950, 6470, 54, 39275, 47, 35, 370, 5556, 330, 15052, 66, 81, 44954, 36158, 950, 330, 35, 6040, 711, 334, 894, 32, 1945, 81, 24523, 463, 85, 4545, 32, 24523, 683, 334, 894, 32, 1832, 463, 85, 4545, 32, 24523, 683, 203, 2358, 280, 1524, 39275, 3417, 78, 96, 2993, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 85, 4545, 370, 12532, 47, 2358, 27, 203, 2358, 280, 1524, 39275, 646, 3417, 78, 96, 2993, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 85, 4545, 81, 2035, 370, 12532, 47, 2358, 27, 203, 858, 32, 7840, 346, 203, 1793, 2108, 57, 2983, 32, 3325, 6052, 14178, 20766, 81, 2035, 950, 6470, 54, 39275, 47, 35, 370, 5556, 330, 15052, 66, 81, 44954, 36158, 950, 330, 35, 6040, 711, 334, 894, 32, 1945, 81, 24523, 463, 85, 4545, 32, 24523, 683, 334, 894, 32, 1832, 463, 85, 4545, 32, 24523, 683, 203, 2358, 280, 1524, 39275, 3417, 78, 96, 2993, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 85, 4545, 81, 2035, 370, 12532, 47, 2358, 27, 203, 858, 32, 7840, 346, 203, 1793, 2108, 57, 2983, 32, 3325, 6052, 14178, 20766, 950, 4247, 46207, 334, 894, 32, 1945, 81, 24523, 463, 85, 4545, 32, 24523, 683, 334, 894, 32, 1832, 463, 85, 4545, 32, 24523, 683, 203, 2358, 280, 1524, 39275, 646, 3417, 78, 96, 2993, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 85, 4545, 370, 12532, 47, 2358, 27, 203, 858, 32, 7840, 346, 203, 1793, 2108, 57, 2983, 32, 3325, 6052, 14178, 20766, 950, 6470, 54, 39275, 47, 35, 6040, 711, 334, 894, 32, 1945, 81, 24523, 463, 85, 4545, 32, 24523, 683, 334, 894, 32, 1832, 463, 85, 4545, 32, 24523, 683, 203, 2358, 280, 1524, 39275, 3417, 78, 96, 2993, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 85, 4545, 370, 12532, 47, 2358, 27, 203, 858, 32, 4617, 81, 858, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 3, 0, 3, 3, 2, 2, 5, 5, 3, 5, 5, 0, 3, 2, 2, 5, 5, 4, 5, 5, 5, 4, 6, 5, 6, 6, 4, 0, 1, 1, 6, 6, 5, 6, 6, 5, 9, 9, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 9, 9, 5, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 0, 3, 2, 2, 4, 4, 4, 5, 5, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 4, 5, 3, 0, 4, 3, 4, 3, 0, 1, 1, 6, 6, 5, 6, 6, 5, 9, 9, 7, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 9, 7, 9, 9, 5, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 0, 3, 2, 2, 4, 4, 5, 5, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 0, 3, 2, 2, 4, 4, 4, 5, 5, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 4, 5, 3, 0, 4, 3, 4, 3, 0, 1, 1, 6, 6, 5, 6, 6, 5, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 9, 7, 9, 9, 5, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 0, 3, 2, 2, 4, 4, 5, 5, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 3, 4, 5, 3, 0, 4, 3, 4, 3, 0, 1, 1, 6, 6, 5, 6, 6, 5, 9, 9, 7, 6, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 0, 3, 2, 2, 4, 4, 4, 5, 5, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 0, 4, 3, 4, 3, 0, 1, 1, 6, 6, 5, 6, 6, 5, 9, 9, 7, 9, 9, 9, 9, 9, 5, 1, 1, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 0, 3, 2, 2, 4, 4, 5, 5, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 5, 3, 4, 5, 3, 0, 4, 3, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 3, 3, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 2, 1, 0, 8, 8, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 8, 8, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 2, 1, 0, 14, 14, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 14, 14, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 2, 1, 0, 18, 18, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 18, 18, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 2, 1, 0, 22, 22, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 22, 22, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 2322, 203, 465, 5237, 203, 1070, 638, 4467, 1188, 438, 81, 5734, 81, 3142, 81, 426, 30, 438, 81, 5734, 81, 3142, 81, 1439, 81, 426, 30, 2652, 81, 3142, 81, 426, 30, 2869, 81, 426, 203, 823, 358, 5265, 2710, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1326, 30, 1789, 30, 1344, 30, 3536, 81, 426, 280, 2550, 4504, 81, 426, 280, 2550, 2652, 280, 330, 7831, 291, 3372, 81, 1320, 30, 3372, 81, 4021, 81, 426, 280, 2652, 81, 3142, 81, 426, 26, 2620, 81, 426, 27, 291, 415, 646, 2652, 44, 324, 2652, 280, 3372, 81, 1320, 291, 415, 646, 4504, 81, 426, 44, 324, 4504, 81, 426, 280, 3372, 81, 4021, 81, 426, 291, 630, 32, 1357, 280, 1326, 291, 630, 32, 1986, 280, 1789, 291, 630, 32, 878, 280, 1344, 291, 630, 32, 2620, 81, 426, 280, 3536, 81, 426, 291, 630, 32, 4021, 81, 426, 280, 4504, 81, 426, 291, 630, 32, 1320, 280, 2652, 284, 665, 1156, 3685, 3207, 784, 30, 1604, 711, 291, 415, 646, 1604, 556, 646, 6937, 26, 2455, 30, 358, 5265, 2710, 711, 324, 442, 3177, 291, 442, 630, 32, 1357, 610, 1604, 32, 1357, 461, 766, 3083, 630, 32, 1986, 610, 1604, 32, 1986, 461, 766, 3083, 630, 32, 878, 610, 1604, 32, 878, 461, 766, 3083, 630, 32, 2620, 81, 426, 610, 1604, 32, 2620, 81, 426, 461, 766, 3083, 630, 32, 4021, 81, 426, 610, 1604, 32, 4021, 81, 426, 461, 766, 3083, 630, 32, 1320, 610, 1604, 32, 1320, 284, 665, 1156, 941, 3207, 784, 30, 1604, 711, 291, 415, 646, 1604, 556, 646, 6937, 26, 2455, 30, 358, 5265, 2710, 711, 324, 442, 2933, 291, 442, 646, 630, 3667, 3685, 3207, 2455, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 313, 27051, 2710, 22259, 101, 30, 904, 101, 12032, 42668, 13707, 26, 784, 32, 1357, 471, 26542, 26, 784, 32, 1986, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 5, 5, 4, 6, 6, 5, 5, 4, 5, 5, 7, 3, 3, 8, 8, 7, 7, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 9, 9, 9, 8, 4, 4, 5, 6, 5, 5, 5, 8, 8, 9, 9, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 9, 8, 8, 9, 9, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 6, 6, 7, 9, 10, 9, 9, 10, 10, 9, 5, 5, 7, 4, 4, 5, 12, 13, 11, 11, 12, 13, 10, 10, 11, 10, 12, 13, 11, 11, 12, 13, 9, 9, 10, 9, 11, 12, 10, 10, 11, 12, 8, 8, 9, 8, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 7, 7, 8, 7, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 6, 6, 7, 6, 8, 9, 7, 7, 8, 9, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 6, 6, 7, 9, 10, 9, 9, 10, 10, 9, 5, 5, 7, 4, 4, 5, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 8, 8, 8, 8, 8, 8, 8, 6, 9, 9, 11, 10, 11, 9, 7, 9, 11, 10, 11, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 9, 9, 2, 0, 0, 11, 11, 2, 13, 13, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 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, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 4, 4, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 3, 3, 2, 2, 0, 0, 2, 0, 0, 2, 3, 3, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 3, 3, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 3, 3, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 4, 4, 1, 1, 0, 2, 2, 1, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1133, 203, 3731, 81, 983, 280, 5237, 32, 983, 203, 1270, 44, 334, 5237, 32, 983, 280, 428, 500, 32, 983, 32, 7781, 4064, 761, 505, 2177, 474, 5237, 32, 983, 334, 1188, 7767, 81, 1040, 203, 22192, 44, 334, 5237, 32, 983, 280, 5237, 81, 983, 203, 5098, 81, 1040, 32, 11592, 81, 1455, 81, 2958, 81, 9561, 1162, 36, 30, 225, 39, 490, 203, 325, 5237, 32, 1648, 81, 1338, 333, 308, 36, 30, 225, 40, 711, 334, 5237, 32, 8228, 32, 1821, 26, 397, 330, 10431, 44, 701, 600, 40284, 3621, 322, 8781, 1098, 1289, 8928, 2193, 4865, 25, 397, 330, 225, 36, 32, 39, 32, 14217, 1395, 10750, 372, 4865, 225, 36, 32, 40, 556, 12224, 5327, 96, 683, 334, 1133, 32, 7840, 26, 35, 27, 203, 589, 622, 81, 1515, 81, 983, 26, 43286, 711, 334, 442, 7767, 81, 1040, 32, 371, 81, 1515, 81, 983, 4064, 761, 7642, 40560, 27, 203, 3197, 81, 4065, 280, 622, 81, 1515, 81, 983, 26, 500, 32, 983, 32, 2524, 463, 1356, 370, 330, 639, 3225, 2847, 203, 81, 47442, 280, 7767, 81, 1040, 32, 9651, 26, 3197, 81, 4065, 27, 203, 12210, 81, 3197, 280, 617, 47442, 32, 1536, 81, 1423, 81, 1515, 203, 32327, 81, 3553, 81, 3197, 280, 617, 47442, 32, 2175, 81, 2602, 81, 1515, 203, 20185, 81, 47442, 280, 617, 47442, 32, 104, 35, 81, 7615, 81, 8478, 203, 2554, 81, 8094, 81, 20185, 81, 47442, 280, 617, 47442, 32, 1237, 81, 1786, 81, 7615, 81, 8478, 203, 26453, 2117, 14426, 81, 20185, 81, 47442, 280, 617, 47442, 32, 7986, 545, 4637, 81, 7615, 81, 8478, 203, 65, 9036, 81, 10923, 81, 20185, 81, 47442, 280, 617, 47442, 32, 10772, 81, 1580, 81, 7615, 81, 8478, 203, 32327, 81, 3553, 81, 20185, 81, 47442, 280, 617, 47442, 32, 2175, 81, 2602, 81, 7615, 81, 8478, 203, 589, 2421, 81, 3731, 81, 983, 26, 7615, 81, 7615, 81, 8478, 47, 22805, 334, 5237, 32, 983, 280, 2783, 12512, 81, 47442, 474, 1149, 26, 7615, 81, 7615, 81, 8478, 27, 474, 5237, 32, 983, 203, 589, 1420, 81, 761, 26, 761, 81, 983, 30, 27311, 81, 711, 334, 3261, 81, 426, 280, 2322, 32, 983, 32, 15705, 26, 761, 81, 983, 27, 334, 5237, 32, 983, 280, 4638, 47442, 32, 1423, 81, 8478, 26, 1423, 81, 426, 27, 474, 1090, 617, 47442, 32, 10325, 356, 81, 983, 26, 1423, 81, 426, 30, 5237, 32, 983, 490, 334, 415, 330, 2175, 25, 328, 5237, 32, 3477, 44, 284, 3555, 5237, 32, 3477, 710, 2175, 785, 334, 2299, 761, 2176, 47442, 32, 1423, 81, 761, 26, 1423, 81, 426, 471, 27311, 7912, 203, 325, 1156, 426, 505, 610, 11477, 1831, 14935, 334, 1420, 81, 761, 4064, 761, 7642, 27311, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 3, 4, 0, 1, 1, 1, 1, 5, 6, 4, 4, 10, 9, 10, 8, 9, 8, 9, 9, 8, 5, 5, 6, 7, 2, 2, 3, 5, 5, 1, 2, 2, 2, 2, 6, 7, 5, 5, 6, 6, 0, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 5, 4, 4, 5, 4, 0, 1, 1, 3, 4, 4, 4, 2, 2, 4, 3, 3, 4, 3, 1, 1, 6, 7, 5, 6, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 2, 2, 5, 6, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 6, 6, 5, 6, 6, 6, 6, 6, 5, 6, 6, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 8, 7, 8, 6, 7, 6, 8, 8, 6, 8, 8, 8, 0, 3, 3, 2, 2, 5, 5, 4, 5, 4, 5, 5, 5, 4, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 3, 4, 1, 1, 5, 6, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 5, 5, 6, 7, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 2, 2, 5, 6, 4, 4, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 6, 6, 6, 9, 8, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 10, 8, 2, 2, 3, 6, 6, 4, 4, 5, 6, 3, 3, 3, 5, 7, 8, 6, 8, 8, 2, 2, 5, 5, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 5, 6, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 6, 6, 5, 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 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 4, 4, 4, 4, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 4, 3, 3, 3, 3, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 0, 6, 6, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 6, 6, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 2, 1, 1, 1, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 17, 17, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 17, 17, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 18, 18, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 18, 18, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 4, 4, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 0, 19, 19, 0, 0, 1, 1, 1, 1, 19, 19, 0, 0, 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 ]
[ 505, 2116, 505, 280, 330, 34072, 31, 19826, 1410, 1291, 333, 7075, 50, 20678, 32, 1088, 6457, 203, 505, 36157, 505, 280, 2726, 43414, 68, 30, 516, 6473, 30, 23111, 25265, 483, 30, 34963, 624, 541, 483, 30, 506, 1092, 17444, 1062, 30, 330, 3083, 330, 11393, 28740, 278, 25538, 30, 23480, 36304, 677, 364, 1054, 265, 30, 394, 16502, 489, 342, 1155, 30, 330, 3083, 330, 47204, 506, 97, 655, 683, 203, 465, 49093, 203, 465, 316, 203, 465, 5237, 203, 1070, 2404, 1188, 319, 203, 1070, 45977, 1188, 11470, 30, 551, 5650, 81, 6261, 42, 203, 465, 13625, 203, 1070, 3363, 1188, 3319, 2338, 4672, 203, 9534, 81, 268, 280, 316, 32, 6993, 26, 100, 28249, 77, 766, 102, 78, 88, 6603, 21, 3424, 3205, 2867, 47, 1674, 766, 102, 6603, 2009, 15641, 105, 32, 6155, 7243, 316, 32, 20957, 27, 203, 465, 2404, 203, 505, 464, 505, 280, 2404, 3667, 464, 505, 474, 3037, 16884, 392, 313, 30066, 392, 313, 14268, 81, 8644, 392, 6029, 313, 15619, 392, 313, 311, 30066, 392, 313, 35909, 392, 313, 1763, 1120, 1446, 203, 4025, 2404, 203, 16884, 280, 489, 81, 9052, 69, 203, 13586, 81, 426, 77, 16884, 79, 280, 330, 16884, 25, 203, 15619, 280, 489, 81, 9052, 69, 474, 225, 35, 203, 13586, 81, 426, 77, 15619, 79, 280, 330, 15619, 25, 203, 35909, 280, 489, 81, 9052, 69, 474, 225, 36, 203, 13586, 81, 426, 77, 35909, 79, 280, 330, 35909, 25, 203, 64, 81, 9052, 69, 1454, 225, 37, 203, 1460, 3821, 81, 9052, 81, 15630, 280, 301, 284, 330, 16487, 261, 498, 4186, 30, 284, 11134, 950, 261, 559, 4186, 30, 284, 35075, 44, 261, 498, 15259, 52, 30, 284, 42503, 950, 261, 559, 15259, 52, 30, 284, 14589, 950, 261, 4961, 567, 30, 284, 5769, 950, 261, 19531, 1400, 30, 284, 13044, 950, 261, 358, 4547, 59, 30, 284, 10699, 950, 261, 14875, 2045, 30, 284, 6470, 950, 261, 14369, 2045, 30, 284, 13838, 950, 261, 3849, 783, 30, 284, 3056, 950, 261, 15247, 7877, 30, 284, 36196, 950, 261, 676, 13496, 30, 284, 15441, 950, 261, 42249, 527, 30, 284, 4145, 950, 261, 498, 2508, 30, 284, 32041, 950, 261, 570, 613, 18777, 30, 284, 36510, 950, 261, 48902, 30, 284, 5608, 950, 261, 32763, 30, 284, 6611, 950, 261, 13591, 30473, 30, 284, 8930, 950, 261, 498, 47720, 30, 284, 24973, 950, 261, 559, 47720, 30, 284, 330, 379, 950, 225, 516, 67, 5907, 30, 284, 330, 6901, 950, 225, 2370, 5907, 30, 284, 4145, 47, 950, 225, 498, 940, 20285, 4443, 30, 284, 46820, 950, 225, 570, 613, 18777, 5907, 30, 284, 28948, 950, 261, 394, 1466, 852, 30, 284, 25366, 950, 261, 390, 29123, 2347, 42859, 30, 284, 330, 3571, 950, 225, 17789, 9640, 30, 284, 330, 2005, 950, 225, 20169, 9640, 30, 284, 330, 326, 950, 225, 8860, 34771, 30, 284, 330, 9372, 950, 225, 14875, 4855, 23995, 30, 284, 6470, 47, 950, 225, 14369, 5907, 30, 284, 13838, 47, 950, 225, 3849, 3195, 23995, 30, 284, 3056, 47, 950, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 4, 0, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 5, 3, 3, 6, 6, 4, 6, 6, 4, 6, 6, 6, 6, 4, 4, 6, 6, 4, 6, 6, 6, 4, 6, 6, 4, 6, 6, 6, 0, 1, 1, 0, 3, 2, 2, 3, 3, 3, 0, 4, 4, 4, 3, 4, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 3, 3, 4, 0, 4, 4, 4, 3, 4, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 3, 3, 4, 0, 4, 4, 4, 3, 4, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 4, 4, 4, 5, 5, 3, 3, 3, 6, 4, 4, 5, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 5, 3, 3, 3, 6, 4, 4, 3, 3, 3, 6, 4, 4, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 4, 4, 5, 3, 3, 3, 6, 6, 4, 4, 5, 5, 3, 3, 3, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 4, 4, 5, 5, 5, 3, 3, 3, 6, 4, 4, 5, 5, 5, 3, 3, 3, 6, 4, 4, 5, 5, 3, 3, 3, 6, 4, 4, 5, 5, 5, 3, 3, 3, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 4, 4, 5, 5, 3, 3, 3, 6, 6, 4, 4, 5, 3, 3, 3, 6, 6, 4, 4, 5, 5, 3, 3, 3, 6, 6, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 8, 8, 8, 8, 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, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 12, 12, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 5, 5, 5, 2, 2, 2, 2, 2, 2, 7, 7, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 2, 2, 2, 11, 11, 2, 2, 2, 2, 2, 13, 13, 2, 2, 2, 2, 2, 2, 15, 15, 2, 2, 2, 2, 2, 17, 17, 2, 2, 2, 2, 2, 19, 19, 2, 2, 2, 2, 2, 21, 21, 2, 2, 2, 2, 2, 23, 23, 2, 2, 2, 2, 2, 25, 25, 2, 2, 2, 2, 2, 27, 27, 2, 2, 2, 2, 2, 29, 29, 2, 2, 2, 2, 2, 2, 31, 31, 2, 2, 2, 2, 33, 33, 2, 2, 2, 2, 35, 35, 2, 2, 2, 2, 2, 37, 37, 2, 2, 2, 2, 2, 39, 39, 2, 2, 2, 2, 1, 2, 41, 41, 2, 2, 2, 2, 2, 1, 2, 43, 43, 2, 2, 2, 2, 1, 2, 45, 45, 2, 2, 2, 2, 2, 2, 2, 47, 47, 2, 2, 2, 2, 2, 2, 2, 49, 49, 2, 2, 2, 2, 2, 2, 51, 51, 2, 2, 2, 2, 2, 2, 1, 2, 53, 53, 2, 2, 2, 2, 1, 2, 55, 55, 2, 2, 2, 2, 1, 2, 57, 57, 2, 2, 2, 2, 1, 2, 59, 59, 2, 2, 2, 2, 2, 1, 2, 61, 61, 2, 2, 2, 2, 1, 2, 63, 63, 2, 2, 2, 2, 2, 1, 2, 65 ]
[ 1851, 81, 1423, 22790, 280, 225, 35, 262, 203, 1270, 81, 416, 28449, 280, 225, 37, 262, 203, 1270, 81, 2409, 24885, 280, 225, 38, 262, 203, 1824, 81, 1270, 27822, 280, 225, 39, 262, 203, 1270, 81, 979, 81, 3585, 18008, 280, 225, 40, 262, 203, 1270, 81, 979, 81, 3585, 81, 975, 8579, 10441, 280, 225, 41, 262, 203, 1270, 81, 979, 81, 2050, 732, 19075, 280, 225, 35, 35, 264, 203, 1270, 81, 979, 81, 22705, 15921, 280, 225, 35, 36, 264, 203, 2157, 81, 1423, 81, 753, 81, 35, 12992, 280, 225, 36, 35, 264, 203, 2157, 81, 1423, 81, 753, 81, 36, 12992, 280, 225, 36, 36, 264, 203, 2157, 81, 1423, 81, 753, 11457, 280, 225, 36, 37, 264, 203, 300, 30635, 280, 225, 37, 34, 264, 203, 3685, 30635, 280, 225, 37, 35, 264, 203, 1837, 30635, 280, 225, 37, 36, 264, 203, 297, 81, 12524, 19827, 280, 225, 37, 37, 264, 203, 1403, 299, 81, 29251, 18008, 280, 225, 37, 40, 264, 203, 1110, 81, 3994, 27822, 280, 225, 37, 41, 264, 203, 272, 4680, 318, 81, 9744, 81, 297, 81, 15546, 265, 6022, 280, 225, 37, 43, 264, 203, 26017, 81, 4458, 81, 297, 81, 2480, 6022, 280, 225, 38, 36, 264, 203, 470, 81, 3840, 81, 12859, 520, 17885, 280, 225, 38, 41, 264, 203, 2157, 81, 8101, 81, 1473, 12740, 280, 225, 39, 34, 264, 203, 470, 81, 1267, 81, 800, 1210, 280, 225, 40, 34, 264, 203, 678, 81, 297, 81, 1746, 22790, 280, 225, 41, 34, 264, 203, 678, 81, 19663, 22790, 280, 225, 41, 35, 264, 203, 3626, 81, 678, 81, 297, 81, 1746, 17885, 280, 225, 41, 36, 264, 203, 3626, 81, 678, 81, 19663, 17885, 280, 225, 41, 37, 264, 203, 7068, 81, 371, 81, 2705, 11457, 280, 225, 41, 39, 264, 203, 28490, 81, 678, 81, 8232, 18008, 280, 225, 41, 41, 264, 203, 3815, 81, 28490, 3251, 81, 3494, 11457, 280, 225, 41, 42, 264, 203, 371, 81, 3264, 81, 3209, 81, 5545, 10441, 280, 225, 43, 34, 264, 203, 470, 81, 3264, 81, 3209, 81, 5545, 10441, 280, 225, 43, 35, 264, 203, 371, 81, 3264, 81, 90, 13765, 81, 5545, 9316, 280, 225, 43, 36, 264, 203, 470, 81, 3264, 81, 90, 13765, 81, 5545, 9316, 280, 225, 43, 37, 264, 203, 15226, 81, 3374, 81, 2524, 18008, 280, 225, 35, 34, 35, 261, 203, 15226, 81, 3374, 81, 2524, 81, 302, 81, 777, 48348, 8240, 280, 225, 35, 34, 36, 261, 203, 9744, 81, 3374, 81, 2524, 15921, 280, 225, 35, 34, 37, 261, 203, 9744, 81, 3374, 81, 2524, 81, 302, 81, 777, 48348, 6797, 280, 225, 35, 34, 38, 261, 203, 12859, 4156, 81, 3374, 81, 2524, 19075, 280, 225, 35, 34, 39, 261, 203, 12859, 4156, 81, 3374, 81, 2524, 81, 302, 81, 777, 48348, 7693, 280, 225, 35, 34, 40, 261, 203, 9744, 81, 3374, 81, 2524, 81, 9744, 12992, 280, 225, 35, 34, 41, 261, 203, 9744, 81, 416, 81, 30427, 17885, 280, 225, 35, 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 ]
[ 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 2, 2, 2, 3, 3, 0, 0, 3, 2, 2, 2, 3, 3, 0, 0, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3 ]
[ 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ]
[ 1070, 36853, 4280, 32, 2536, 1188, 438, 81, 761, 203, 1070, 36853, 4280, 32, 496, 1188, 319, 203, 465, 36853, 4280, 32, 1981, 203, 589, 1256, 26, 426, 30, 5093, 47, 2521, 30, 6765, 47, 2521, 30, 2350, 47, 2521, 30, 6717, 81, 6332, 47, 2521, 30, 284, 1487, 81, 2833, 47, 2700, 30, 37250, 81, 1515, 47, 2521, 30, 3882, 47, 2521, 30, 2664, 47, 2700, 30, 284, 9073, 47, 2521, 30, 12373, 47, 2521, 711, 284, 415, 646, 5375, 26, 426, 711, 291, 1487, 26, 426, 30, 5093, 47, 3647, 30, 6765, 47, 2833, 30, 2350, 47, 1363, 30, 324, 6717, 81, 6332, 47, 7615, 81, 6332, 30, 1487, 81, 2833, 47, 1297, 81, 2833, 30, 324, 37250, 81, 1515, 47, 33676, 81, 1515, 30, 3882, 47, 2895, 30, 2664, 47, 2946, 30, 324, 9073, 47, 7883, 30, 12373, 47, 1890, 27, 284, 813, 44, 291, 5351, 26, 426, 30, 5093, 47, 3647, 30, 6765, 47, 2833, 30, 2350, 47, 1363, 30, 324, 6717, 81, 6332, 47, 7615, 81, 6332, 30, 3882, 47, 2895, 30, 324, 9073, 47, 7883, 30, 12373, 47, 1890, 27, 284, 415, 6765, 44, 291, 36853, 4280, 32, 1981, 32, 5660, 26, 2833, 30, 7423, 47, 426, 30, 793, 81, 9860, 47, 1815, 27, 203, 589, 12798, 265, 26, 699, 30, 17758, 347, 2320, 392, 15568, 347, 2320, 392, 44566, 47, 2700, 30, 6350, 347, 2320, 10280, 284, 5911, 280, 313, 9691, 10394, 1924, 415, 44566, 813, 313, 36522, 3302, 10394, 1924, 284, 1374, 280, 5461, 26, 699, 27, 101, 18147, 15934, 27, 101, 4310, 42668, 18246, 27, 101, 27, 18147, 3963, 27, 101, 18147, 7621, 27, 101, 20, 904, 28363, 346, 284, 4870, 280, 3056, 6698, 33, 9860, 483, 32, 86, 33, 15161, 4280, 9299, 101, 25, 904, 952, 284, 415, 438, 81, 761, 26, 3607, 711, 291, 12798, 463, 26030, 225, 34, 40, 38, 34, 18147, 3607, 27, 101, 962, 10194, 429, 88, 18147, 3607, 27, 101, 25, 904, 28363, 1157, 284, 12798, 463, 3474, 5461, 26, 2285, 27, 101, 20, 848, 42668, 3607, 27, 101, 962, 22264, 225, 34, 38, 38, 34, 18147, 3607, 27, 101, 25, 904, 28363, 1026, 9073, 47, 1815, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 0, 1, 1, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 2, 4, 4, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 4, 6, 7, 6, 3, 3, 7, 8, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 7, 9, 9, 8, 9, 9, 9, 7, 7, 8, 9, 7, 7, 8, 9, 7, 7, 7, 8, 9, 7, 7, 8, 9, 7, 3, 3, 4, 4, 4, 8, 9, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 9, 10, 8, 8, 8, 10, 10, 9, 10, 10, 10, 8, 8, 9, 10, 8, 8, 8, 9, 10, 8, 8, 9, 10, 8, 2, 2, 3, 3, 3, 3, 9, 8, 9, 7, 8, 7, 8, 7, 7, 8, 9, 7, 7, 9, 9, 8, 9, 7, 0, 1, 1, 2, 2, 3, 2, 2, 3, 5, 5, 2, 3, 5, 5, 2, 3, 4, 2, 2, 3, 5, 5, 1, 1, 4, 4, 7, 7, 7, 5, 5, 5, 5, 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, 7, 7, 7, 7, 5, 5, 7, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 3, 5, 5, 5, 6, 5, 3, 3, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 2, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 5, 6, 7, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 3, 3, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 0, 0, 9, 2, 2, 2, 2, 0, 0, 11, 2, 2, 2, 0, 0, 13, 2, 2, 2, 15, 2, 2, 2, 17, 2, 2, 2, 2, 19, 2, 2, 2, 21, 2, 2, 3, 3, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 0, 0, 11, 2, 2, 2, 1, 1, 1, 0, 0, 13, 2, 2, 2, 1, 1, 15, 2, 1, 1, 17, 2, 1, 1, 1, 19, 2, 1, 1, 21, 2, 1, 0, 0, 4, 4, 4, 1, 1, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 1, 1, 0, 0, 9, 2, 2, 2, 1, 1, 11, 2, 1, 1, 1, 13, 2, 1, 1, 15, 2, 1, 4, 4, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 2, 1, 1, 0, 0, 5, 2, 1, 0, 4, 4, 1, 2, 1, 2, 2, 3, 1, 2, 2, 5, 1, 2, 2, 7, 2, 2, 2, 9, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 3, 0, 0, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 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 ]
[ 465, 316, 203, 465, 2322, 203, 465, 5741, 203, 465, 1133, 203, 1070, 7120, 366, 445, 32, 1580, 32, 4190, 1188, 1048, 203, 1070, 12046, 858, 1188, 33870, 615, 203, 1070, 12046, 858, 1188, 8745, 81, 1356, 1848, 671, 203, 1070, 12046, 858, 1188, 706, 81, 1515, 203, 1070, 12046, 858, 32, 2304, 81, 858, 1188, 5034, 18321, 203, 1070, 12046, 858, 1188, 8745, 81, 14481, 203, 1070, 12046, 858, 32, 1356, 18321, 81, 2593, 1188, 8508, 81, 2593, 203, 589, 36449, 81, 4116, 26, 3149, 81, 426, 30, 2125, 30, 21618, 47, 2700, 711, 284, 3691, 81, 1515, 280, 706, 81, 1515, 32, 371, 81, 2868, 81, 1515, 346, 284, 4131, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 2868, 81, 1515, 30, 8508, 81, 426, 474, 4939, 2853, 657, 284, 415, 646, 21618, 44, 291, 415, 2125, 610, 313, 2853, 563, 324, 4131, 81, 1762, 280, 3330, 324, 1056, 280, 33870, 615, 32, 2853, 26, 3149, 81, 426, 30, 4131, 81, 761, 30, 4131, 81, 1762, 30, 1378, 5079, 81, 1517, 47, 1815, 30, 4588, 47, 1815, 27, 324, 5034, 18321, 32, 1553, 81, 4775, 81, 1517, 26, 1267, 27, 291, 4348, 2125, 610, 313, 12262, 2853, 563, 324, 12852, 2853, 81, 1762, 280, 3330, 324, 1056, 280, 33870, 615, 32, 12262, 2853, 26, 3149, 81, 426, 30, 12852, 2853, 81, 1762, 30, 10000, 5079, 81, 1517, 47, 1815, 30, 4588, 47, 1815, 27, 324, 5034, 18321, 32, 1553, 81, 4775, 81, 1517, 26, 1267, 27, 291, 4348, 2125, 610, 313, 101, 37, 563, 324, 26533, 81, 1977, 280, 313, 1835, 20, 324, 1056, 280, 33870, 615, 32, 86, 592, 874, 15877, 26, 3149, 81, 426, 30, 26533, 81, 1977, 30, 2476, 5079, 81, 1517, 47, 1815, 30, 4588, 47, 1815, 27, 324, 5034, 18321, 32, 1553, 81, 4775, 81, 1517, 26, 1267, 27, 291, 4348, 2125, 610, 313, 101, 38, 563, 324, 26533, 81, 1977, 280, 313, 10300, 20, 324, 1056, 280, 33870, 615, 32, 86, 592, 874, 15877, 26, 3149, 81, 426, 30, 26533, 81, 1977, 30, 2476, 5079, 81, 1517, 47, 1815, 30, 4588, 47, 1815, 27, 324, 5034, 18321, 32, 1553, 81, 4775, 81, 1517, 26, 1267, 27, 324, 8745, 81, 14481, 32, 1684, 81, 979, 26, 5962, 44, 33870, 615, 32, 297, 81, 14463, 26, 3149, 81, 426, 471, 225, 39, 27, 291, 813, 44, 324, 5741, 32, 2811, 440, 2023, 4212, 436, 322, 5880, 657, 284, 813, 44, 291, 415, 2125, 610, 313, 2853, 563, 324, 415, 2322, 32, 983, 32, 4658, 26, 2853, 81, 761, 711, 400, 1056, 280, 33870, 615, 32, 11243, 26, 2853, 81, 761, 30, 5079, 81, 1517, 47, 1815, 30, 4588, 47, 1815, 27, 400, 5034, 18321, 32, 1553, 81, 4775, 81, 1517, 26, 1267, 27, 400, 2322, 32, 2546, 26, 2853, 81, 761, 27, 324, 813, 44, 400, 3636, 1048, 32, 1006, 924, 440, 2023, 4131, 803, 436, 5880, 11309, 657, 291, 4348, 2125, 328, 3037, 12262, 2853, 392, 313, 101, 38, 18270, 324, 1056, 280, 33870, 615, 32, 1366, 26, 3149, 81, 426, 30, 5079, 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, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 4, 2, 1, 1, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 8, 8, 7, 7, 9, 9, 2, 2, 3, 4, 3, 3, 3, 5, 6, 6, 8, 8, 5, 5, 9, 9, 8, 8, 6, 6, 8, 8, 11, 10, 11, 10, 11, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 10, 12, 12, 11, 12, 10, 10, 11, 12, 10, 6, 6, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 10, 10, 9, 9, 7, 7, 9, 9, 12, 11, 12, 12, 11, 12, 12, 12, 11, 11, 12, 12, 12, 11, 11, 11, 13, 13, 12, 13, 11, 11, 12, 13, 11, 7, 7, 11, 10, 11, 11, 11, 11, 11, 10, 11, 10, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 10, 9, 9, 11, 11, 7, 7, 9, 9, 12, 11, 12, 12, 12, 12, 11, 12, 12, 12, 11, 11, 12, 12, 11, 11, 11, 13, 13, 12, 13, 11, 11, 12, 13, 11, 7, 7, 11, 10, 11, 11, 11, 11, 11, 10, 11, 10, 5, 5, 6, 7, 7, 9, 9, 9, 6, 6, 10, 10, 9, 9, 11, 11, 7, 7, 9, 9, 12, 11, 12, 12, 12, 12, 11, 12, 12, 12, 11, 11, 12, 12, 11, 11, 11, 13, 13, 12, 13, 11, 11, 12, 13, 11, 7, 7, 11, 10, 11, 11, 11, 11, 11, 10, 11, 10, 7, 7, 11, 11, 10, 11, 11, 11, 10, 11, 11, 11, 14, 13, 14, 14, 14, 13, 14, 14, 14, 13, 10, 11, 10, 5, 5, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 3, 3, 4, 4, 4, 6, 7, 7, 9, 9, 6, 6, 8, 11, 12, 10, 11, 10, 11, 11, 11, 10, 8, 8, 11, 11, 14, 13, 14, 13, 14, 14, 14, 13, 13, 15, 15, 14, 15, 13, 13, 14, 15, 13, 9, 9, 13, 12, 13, 13, 13, 13, 13, 12, 13, 12, 9, 9, 12, 13, 12, 13, 13, 13, 12, 8, 8, 9, 9, 9, 11, 13, 14, 14, 13, 15, 15, 15, 15, 15, 15, 15, 6, 6, 7, 8, 8, 11, 11, 11, 9, 11, 11, 11, 7, 7, 10, 10, 13, 12, 13, 12, 13, 13, 13, 12, 12, 14 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 8, 8, 0, 1, 2, 2, 2, 8, 8, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 2, 2, 2, 10, 10, 0, 0, 0, 11, 11, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 1, 2, 4, 4, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 1, 0, 0, 7, 2, 1, 1, 9, 2, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 5, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 6, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 5, 2, 1, 1, 7, 2, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 1, 0, 0, 7, 7, 7, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 5, 2, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0 ]
[ 9592, 284, 447, 2475, 314, 267, 2222, 31, 267, 284, 2640, 308, 53, 27, 225, 36, 34, 35, 40, 447, 2475, 314, 267, 284, 1348, 3460, 438, 3741, 2932, 44, 844, 883, 14086, 561, 461, 33, 271, 5351, 284, 561, 1531, 322, 5955, 432, 322, 6987, 6146, 5056, 1177, 619, 9581, 810, 284, 322, 7823, 3859, 7113, 30, 3154, 1503, 225, 37, 432, 322, 1177, 30, 556, 284, 308, 269, 1370, 2470, 27, 1346, 6125, 1503, 32, 284, 1348, 3460, 438, 2728, 328, 322, 9845, 688, 561, 1098, 526, 6364, 30, 284, 1273, 4197, 2964, 9339, 45, 2876, 4444, 322, 4500, 14327, 432, 284, 7930, 556, 8108, 4786, 399, 7848, 7755, 32, 225, 2802, 322, 284, 6987, 6146, 5056, 1177, 436, 1829, 4245, 32, 284, 2448, 1395, 1159, 6584, 312, 1933, 432, 322, 6987, 6146, 5056, 1177, 284, 7947, 623, 458, 3460, 32, 225, 1670, 646, 30, 2318, 333, 525, 555, 1499, 32, 10628, 32, 1088, 33, 4188, 28733, 203, 9592, 203, 465, 22045, 30, 1260, 203, 1070, 6086, 32, 1356, 32, 3477, 1188, 3320, 203, 1070, 6086, 32, 1356, 32, 3477, 1188, 2043, 203, 823, 14994, 63, 13765, 44, 284, 665, 1156, 1664, 3207, 784, 30, 2519, 81, 314, 280, 1665, 711, 291, 630, 32, 1237, 81, 965, 280, 330, 525, 555, 1237, 32, 7598, 934, 2939, 32, 508, 9708, 101, 23, 101, 25, 291, 630, 32, 2245, 81, 314, 280, 2519, 81, 314, 284, 665, 2519, 779, 26, 784, 30, 2519, 81, 314, 280, 1665, 711, 291, 415, 308, 2245, 81, 314, 863, 1665, 711, 324, 630, 32, 2245, 81, 314, 280, 2519, 81, 314, 324, 442, 2519, 81, 314, 291, 442, 630, 32, 2245, 81, 314, 284, 665, 1326, 26, 784, 30, 6998, 30, 2467, 280, 1665, 711, 291, 1596, 44, 324, 415, 308, 1217, 863, 1665, 711, 400, 2467, 280, 330, 19067, 474, 22045, 32, 965, 4434, 26, 1217, 27, 324, 813, 44, 400, 2467, 280, 4247, 324, 1326, 280, 630, 32, 1237, 81, 965, 904, 308, 7986, 30, 2467, 27, 324, 1789, 280, 3320, 32, 371, 26, 1580, 32, 1357, 30, 225, 36, 38, 30, 1326, 27, 324, 442, 2361, 32, 12474, 26, 1986, 27, 291, 2940, 44, 324, 3097, 291, 442, 2149, 284, 665, 2519, 10136, 26, 784, 30, 827, 30, 804, 711, 291, 1596, 44, 324, 1056, 280, 630, 32, 1357, 463, 10122, 33, 38738, 370, 301, 681, 44, 804, 1748, 324, 415, 2726, 314, 25, 328, 1056, 711, 400, 630, 32, 2245, 81, 314, 280, 1056, 710, 314, 785, 324, 442, 1056, 291, 2940, 44, 324, 3097, 291, 442, 2149, 284, 665, 9830, 26, 784, 30, 2519, 81, 314, 280, 1665, 30, 8195, 280, 1665, 711, 291, 1596, 44, 324, 415, 308, 1206, 630, 32, 2245, 779, 26, 2245, 81, 314, 8531, 400, 3636, 3268, 346, 324, 1056, 280, 630, 32, 1357, 463, 38738, 9708, 86, 25, 904, 630, 32, 2245, 81, 314, 27, 324, 415, 2726, 314, 25, 328, 1056, 711, 400, 630, 32, 2245, 81, 314, 280, 1056, 710, 314, 785, 324, 442, 1056, 291, 2940, 44, 324, 3097, 291, 442, 2149 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 5, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 5, 5, 4, 3, 3, 5, 8, 8, 8, 7, 7, 6, 5, 5, 9, 10, 10, 10, 8, 8, 9, 9, 6, 6, 7, 8, 8, 4, 4, 5, 6, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 7, 10, 9, 9, 8, 7, 7, 10, 10, 13, 11, 11, 13, 14, 14, 13, 14, 13, 7, 7, 8, 8, 8, 11, 11, 6, 6, 8, 8, 10, 11, 11, 11, 9, 9, 11, 10, 10, 10, 6, 6, 8, 8, 10, 11, 10, 12, 11, 12, 10, 10, 11, 11, 10, 10, 10, 6, 6, 7, 9, 10, 9, 10, 9, 5, 5, 6, 6, 6, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 5, 5, 8, 8, 10, 11, 10, 12, 12, 12, 12, 10, 13, 12, 12, 11, 6, 6, 7, 11, 11, 9, 9, 8, 7, 7, 11, 12, 12, 12, 10, 10, 11, 13, 13, 6, 6, 7, 5, 5, 6, 6, 6, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 5, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 7, 9, 9, 11, 12, 12, 11, 12, 12, 12, 11, 7, 7, 9, 11, 6, 6, 8, 8, 10, 11, 10, 13, 13, 13, 13, 11, 11, 12, 13, 13, 13, 10, 6, 6, 7, 11, 11, 9, 9, 8, 7, 7, 11, 12, 12, 12, 10, 10, 11, 13, 13, 6, 6, 7, 5, 5, 6, 6, 6, 4, 4, 5 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 1, 4, 4, 4, 0, 1, 1, 1, 2, 2, 0, 0, 3, 3, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 1, 1, 2, 1, 2, 2, 0, 0, 3, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 3, 3, 1, 1, 1, 4, 4, 1, 1, 2, 2, 2, 3, 3, 2, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 3, 1, 1, 1, 2, 2, 3, 0, 2, 1, 1, 1, 0, 0, 3, 3, 3, 4, 4, 1, 3, 3, 3, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 3, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 3, 3, 3, 4, 4, 1, 3, 3, 4, 2, 1, 2, 2, 0, 0, 3, 3, 2, 2, 5, 5, 2, 4, 4, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 3, 0, 0, 3, 3, 3, 4, 4, 1 ]
[ 465, 4749, 2468, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 40946, 81, 10629, 619, 617, 203, 589, 5063, 81, 12288, 40, 81, 2468, 26, 639, 81, 466, 30, 18186, 81, 12288, 38, 47, 2700, 30, 5556, 1048, 81, 1436, 11645, 440, 2272, 438, 646, 312, 2080, 17409, 40, 2965, 47136, 44, 284, 1596, 44, 291, 8705, 280, 4749, 2468, 32, 21710, 40, 2438, 26, 410, 26, 639, 2468, 32, 21710, 40, 2438, 26, 639, 81, 466, 2610, 284, 2940, 10091, 44, 291, 3636, 40075, 26, 731, 81, 1436, 30, 1340, 1057, 5790, 683, 284, 415, 18186, 81, 12288, 38, 461, 8705, 32, 12288, 38, 81, 19943, 44, 291, 442, 596, 26, 3225, 32, 12288, 38, 81, 19943, 27, 284, 4348, 8705, 32, 12288, 38, 81, 19943, 44, 291, 442, 45242, 1901, 6069, 101, 25, 904, 596, 26, 3225, 32, 12288, 38, 81, 19943, 27, 284, 442, 596, 26, 3225, 27, 203, 589, 438, 81, 1327, 81, 12288, 40, 81, 2468, 26, 639, 81, 466, 711, 284, 1596, 44, 291, 4749, 2468, 32, 21710, 40, 2438, 26, 639, 81, 466, 27, 284, 2940, 10091, 44, 291, 442, 3177, 284, 442, 2933, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 4, 4, 4, 3, 4, 2, 2, 2, 4, 4, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 3, 3, 3, 6, 6, 9, 8, 9, 9, 9, 8, 10, 10, 13, 13, 12, 13, 13, 13, 12, 13, 13, 13, 12, 3, 3, 4, 4, 4, 4, 6, 8, 9, 9, 9, 8, 8, 9, 11, 11, 2, 2, 3, 5, 5, 5, 4, 4, 5, 6, 6, 6, 6, 3, 3, 3, 5, 7, 9, 8, 9, 9, 9, 9, 7, 3, 3, 4, 5, 6, 6, 6, 6, 4, 4, 4, 6, 9, 9, 9, 9, 7, 7, 9, 11, 10, 11, 11, 11, 11, 9, 2, 2, 3, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 3, 3, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 3, 3, 4, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 3, 2, 2, 2, 2, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 1, 2, 4, 4, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 4, 1, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 0, 4, 4, 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 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 1070, 4377, 2304, 1188, 3185, 81, 47543, 203, 823, 394, 381, 422, 380, 4452, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 18470, 1499, 8169, 6505, 13812, 422, 380, 4452, 8169, 286, 33, 7740, 23860, 13824, 2805, 12456, 33, 6155, 4242, 28, 49, 12456, 7238, 49, 6155, 11952, 49, 66, 46, 314, 13119, 48113, 34, 31, 43, 6155, 2502, 2805, 112, 8850, 80, 7238, 49, 6155, 49, 6505, 8169, 916, 25, 284, 617, 24685, 280, 7316, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 13812, 422, 380, 4452, 32, 286, 33, 7740, 23860, 33, 5000, 33, 5000, 31, 35, 34, 36, 35, 38, 37, 32, 916, 370, 291, 330, 954, 39, 950, 330, 43, 35, 41, 83, 36, 36, 42, 3590, 41, 1479, 41, 42, 39, 34, 41, 42, 37, 3590, 38, 41, 43, 41, 43, 40, 41, 37, 83, 34, 43, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 35, 34, 36, 35, 38, 37, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 3339, 25734, 1036, 84, 752, 3280, 328, 399, 3356, 44, 46498, 7507, 19240, 328, 570, 4063, 16229, 6803, 354, 747, 314, 22995, 370, 324, 330, 2310, 950, 330, 954, 39, 44, 35, 41, 35, 19010, 2087, 43, 86, 43, 84, 37, 583, 39, 38, 86, 34, 39, 86, 39, 34, 35, 39, 40, 42, 88, 40, 37, 39, 43, 370, 324, 330, 12301, 950, 330, 268, 44, 80, 641, 2805, 3424, 8169, 3072, 37143, 291, 801, 284, 801, 301, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 13812, 422, 380, 4452, 32, 286, 33, 7740, 23860, 33, 2714, 3280, 33, 1421, 31, 39, 41, 36, 41, 32, 916, 370, 291, 330, 954, 39, 950, 330, 37, 85, 39, 38, 85, 35, 88, 40, 36, 38, 37, 86, 36, 41, 43, 84, 41, 34, 40, 34931, 40, 40, 34, 369, 735, 40, 37, 37, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 39, 41, 36, 41, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 2310, 950, 330, 954, 39, 44, 40, 43, 39, 85, 34, 35, 37058, 43, 42, 84, 41, 87, 37, 35, 37, 85, 39, 34, 35, 37, 42, 40, 37, 36, 41, 31131, 39, 43, 370, 324, 330, 1311, 950, 330, 4863, 3280, 44, 273, 381, 422, 380, 4452, 766, 102, 34, 38, 32, 35, 36, 32, 36, 34, 35, 38, 225, 36, 34, 44, 34, 34, 632, 3935, 370, 324, 330, 12301, 950, 330, 268, 44, 80, 641, 2805, 3424, 8169, 3072, 37143, 291, 801, 284, 801, 301, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 13812, 422, 380, 4452, 32, 286, 33, 7740, 23860, 33, 43328, 1546, 449, 8048, 33, 7365, 31, 35, 42, 38, 34, 41, 32, 916, 370, 291, 330, 954, 39, 950, 330, 36163, 38, 39, 286, 36, 41, 35, 85, 38 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 5, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 5, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 5, 5, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 1933, 203, 465, 7138, 203, 465, 2322, 203, 465, 316, 203, 465, 5237, 203, 465, 11171, 203, 465, 11685, 203, 1070, 10245, 1188, 23501, 30, 23501, 984, 203, 1070, 3363, 1188, 18394, 2338, 203, 1070, 8527, 32, 1262, 1188, 27927, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 40075, 203, 1070, 8527, 32, 1262, 32, 24894, 1188, 29420, 81, 20866, 261, 203, 1070, 8527, 32, 8538, 32, 2304, 1188, 645, 81, 1700, 81, 18218, 30, 372, 81, 1700, 81, 18218, 203, 1070, 8527, 32, 8538, 32, 12035, 1188, 308, 284, 10960, 81, 10840, 81, 1725, 1310, 1192, 59, 2667, 30, 41308, 1612, 30, 11035, 444, 974, 1612, 30, 2821, 1612, 30, 284, 6666, 1612, 30, 10024, 1612, 30, 45510, 1612, 30, 21138, 13769, 1612, 30, 284, 9282, 4709, 1908, 30, 5104, 1612, 30, 6608, 30, 6608, 11726, 30, 284, 18968, 4852, 3763, 30, 18968, 13769, 4852, 3763, 30, 3319, 1612, 30, 3717, 1612, 30, 284, 3834, 1612, 30, 203, 27, 203, 1070, 8527, 32, 2304, 1188, 15477, 30, 18792, 203, 1070, 8527, 32, 2304, 32, 770, 2208, 1188, 3185, 81, 6932, 203, 1070, 8527, 32, 2304, 32, 44136, 1188, 308, 284, 26396, 383, 36115, 36, 34, 5711, 30, 26655, 8891, 1761, 30, 203, 27, 203, 1070, 8527, 32, 2304, 32, 6932, 1188, 7459, 81, 800, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 466, 30, 7650, 81, 878, 30, 18548, 81, 878, 203, 1070, 8527, 32, 2304, 32, 12288, 40, 1188, 5063, 81, 12288, 40, 81, 2468, 203, 1070, 8527, 32, 2304, 32, 25931, 32, 21332, 32, 39362, 32, 2208, 1188, 1984, 2998, 30, 1984, 311, 2998, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 4950, 707, 33170, 81, 10629, 203, 505, 464, 505, 280, 308, 284, 330, 1176, 370, 330, 16357, 370, 330, 30400, 370, 284, 330, 1547, 1176, 370, 330, 1043, 1176, 370, 330, 36172, 370, 330, 6196, 1176, 370, 284, 330, 10851, 1176, 370, 330, 4477, 1176, 370, 330, 974, 1176, 370, 330, 1658, 1176, 370, 330, 2413, 1176, 370, 284, 330, 39471, 370, 330, 1883, 39471, 370, 330, 13860, 1176, 370, 330, 11726, 13860, 1176, 370, 284, 330, 8988, 1176, 370, 330, 6221, 882, 1176, 370, 330, 3670, 1176, 370, 330, 7697, 1176, 370, 284, 330, 7334, 36172, 370, 330, 4007, 27108, 1176, 370, 330, 9140, 1176, 370, 284, 330, 20488, 1176, 370, 330, 11851, 13860, 1176, 370, 330, 11851, 11726, 13860, 1176, 370, 330, 7595, 1176, 370, 203, 27, 203, 823, 26655, 1176, 8891, 26, 21722, 8891, 1761, 711, 284, 23008, 81, 9147, 280, 308, 291, 2726, 81, 2040, 81, 8968, 370, 330, 2040, 81, 8968, 370, 26396, 383, 36115, 36, 34, 5711, 471, 284, 829, 203, 823, 5692, 26, 25931, 32, 1793, 81, 2559, 32095, 26, 21722, 1176, 8891, 30, 1300, 8531, 284, 6852, 280, 3319, 1612, 10065, 6826, 81, 3854, 280, 45510, 1612, 10065, 1244, 81, 24894, 280, 1605, 10065, 1244, 81, 731, 81, 6286, 280, 301, 291, 330, 3648, 950, 30121, 2272, 1600, 438, 2129, 41365, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 1, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 6, 7, 7, 7, 7, 7, 6, 5, 5, 0, 1, 1, 2, 5, 4, 5, 5, 5, 5, 4, 5, 5, 5, 4, 4, 4, 1, 1, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 2, 2, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 10, 10, 10, 5 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 8, 8, 8, 8, 0, 0, 9, 9, 9, 9, 0, 0, 10, 10, 1, 2, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 14, 14, 1, 2, 1, 4, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 0, 14, 14, 0, 0, 0, 14, 14, 0, 14, 14, 14, 0, 14, 14, 0, 14, 14, 0, 14, 14, 0, 0, 14, 14, 14, 0, 0, 14, 14, 0, 14, 14, 14, 14, 0, 14, 14, 14, 0, 0, 14, 14, 0, 0, 0, 14, 14, 0, 14, 14, 0, 14, 14, 14, 0, 14, 14, 14, 0, 15, 15, 1, 2, 15, 15, 15, 15, 0, 16, 16, 1, 2, 1, 4, 4, 16, 16, 0, 0, 0, 17, 17, 1, 2, 1, 4, 17, 17, 17, 17, 0, 0, 0, 0, 0, 17, 17, 0, 0, 17, 17, 17, 0, 18, 18, 1, 2, 1, 4, 18, 18, 0, 0, 0, 19, 19, 1, 2, 1, 4, 19, 19, 0, 0, 19, 19, 0, 0, 19, 19, 0, 0, 0, 20, 20, 1, 2, 1, 4, 4, 20, 20, 0, 0, 0, 0, 0, 0, 21, 21, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 21, 21, 0, 21, 21, 0, 0, 0, 22, 22, 1, 2, 1, 4, 22, 22, 0, 0, 0, 3, 3, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 24, 24, 1, 1, 2, 1, 1, 1, 2, 24, 24, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 5, 5, 5, 5, 1, 2, 2, 0, 25, 25, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 25, 25, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2 ]
[ 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1199, 1188, 12522, 30, 4549, 203, 465, 8527, 32, 1199, 32, 3378, 32, 30550, 203, 823, 18582, 26, 19793, 32, 12067, 711, 284, 6440, 280, 428, 291, 2726, 1286, 2516, 370, 330, 34, 34, 34, 36, 81, 2546, 81, 1286, 81, 681, 81, 426, 1425, 291, 2726, 25945, 605, 370, 330, 34, 34, 43, 35, 81, 2837, 81, 36, 34, 36, 34, 34, 40, 34, 35, 81, 34, 34, 35, 37, 1425, 291, 12522, 32, 1586, 44930, 81, 9277, 26, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 291, 2726, 108, 42788, 370, 330, 34, 34, 36, 39, 81, 465, 3560, 285, 81, 465, 81, 4275, 1425, 284, 1481, 284, 7373, 280, 428, 291, 12522, 32, 18846, 1176, 26, 324, 1542, 81, 426, 1057, 16140, 329, 12610, 370, 324, 636, 1057, 22852, 370, 324, 1600, 47, 3378, 32, 13343, 26, 1693, 47, 1815, 30, 544, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 2695, 81, 3293, 30, 5886, 81, 426, 1057, 33801, 81, 33031, 370, 372, 1057, 108, 42788, 32, 25352, 20391, 1425, 291, 2588, 291, 12522, 32, 18846, 1176, 26, 324, 1542, 81, 426, 1057, 16140, 329, 12610, 370, 324, 636, 1057, 33801, 370, 324, 1600, 47, 3378, 32, 13343, 26, 1693, 47, 1815, 30, 544, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 2695, 81, 3293, 30, 5886, 81, 426, 1057, 22852, 81, 33031, 370, 372, 1057, 108, 42788, 32, 25352, 53, 9982, 1425, 291, 2588, 291, 12522, 32, 18846, 1176, 26, 324, 1542, 81, 426, 1057, 16140, 329, 12610, 370, 324, 636, 1057, 37855, 81, 1170, 370, 324, 1600, 47, 3378, 32, 13343, 26, 5006, 47, 1815, 30, 744, 47, 1815, 30, 544, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 2695, 81, 3293, 30, 372, 47, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 291, 2588, 291, 12522, 32, 18846, 1176, 26, 324, 1542, 81, 426, 1057, 16140, 4890, 370, 324, 636, 1057, 37855, 81, 1170, 370, 324, 1600, 47, 3378, 32, 13343, 26, 5006, 47, 1815, 30, 744, 47, 1815, 30, 544, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 2695, 81, 3293, 30, 372, 47, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 291, 2588, 291, 12522, 32, 18846, 1176, 26, 324, 1542, 81, 426, 1057, 16140, 22852, 370, 324, 636, 1057, 37855, 81, 1170, 370, 324, 1600, 47, 3378, 32, 13343, 26, 5006, 47, 1815, 30, 744, 47, 1815, 30, 544, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 2695, 81, 3293, 30, 372, 47, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 291, 2588, 291, 12522, 32, 18846, 1176, 26, 324, 1542, 81, 426, 1057, 16140, 22852, 11128, 605, 370, 324, 636, 1057, 37855, 81, 1170, 370, 324, 1600, 47, 3378, 32, 13343, 26, 5006, 47, 1815, 30, 744, 47, 1815, 30, 544, 81, 2560, 47, 11025, 32, 1199, 32, 3378, 32, 30550, 32, 2695, 81, 3293, 30, 372, 47, 3550, 32, 9036, 81, 4975, 81, 14483, 471, 291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 4, 4, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 7, 5, 5, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 12, 12, 11, 16, 15, 16, 14, 15, 13, 14, 12, 13, 13, 13, 10, 10, 12, 12, 11, 13, 13, 13, 13, 10, 11, 13, 13, 13, 13, 13, 13, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 12, 12, 11, 16, 15, 16, 14, 15, 13, 14, 12, 13, 13, 13, 10, 10, 12, 12, 11, 13, 13, 13, 13, 10, 11, 13, 13, 13, 13, 13, 13, 13, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 10, 12, 12, 11, 16, 15, 16, 14, 15, 13, 14, 12, 13, 13, 13, 10, 10, 11, 13, 12, 13, 13, 13, 13, 13, 10, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 10, 12, 12, 11, 16, 15, 16, 14, 15, 13, 14, 12, 13, 13, 13, 10, 10, 11, 13, 12, 13, 13, 13, 13, 13, 10, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 10, 12, 12, 11, 16, 15, 16, 14, 15, 13, 14, 12, 13, 13, 13, 10, 10, 11, 13, 12, 13, 13, 13, 13, 13, 10, 7, 7, 5, 5, 7, 8, 8, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 7, 7, 8, 10, 10, 10, 10, 7, 7, 8, 11, 10, 11, 10, 12, 11, 12, 10, 10, 11, 12, 10, 10, 12, 12, 11, 16, 15, 16, 14, 15, 13, 14, 12, 13, 13, 13, 10, 10, 11, 13, 12, 13, 13, 13, 13, 13, 10, 7 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 4, 1, 6, 0, 3, 3, 2, 0, 1, 2, 2, 3, 3, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 5, 1, 1, 1, 2, 1, 7, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 5, 1, 1, 1, 2, 1, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 7, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 7, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 7, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 0, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 0, 0, 5, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 7, 0, 2, 2, 2, 2, 2, 2, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 281, 5123, 203, 465, 4096, 32, 2304, 203, 465, 622, 4617, 203, 465, 2361, 203, 465, 5741, 203, 465, 18346, 2516, 203, 465, 2322, 203, 465, 5624, 203, 465, 316, 203, 465, 22977, 203, 465, 5237, 203, 1070, 10773, 1114, 7980, 1188, 5167, 30, 18792, 30, 22045, 37, 203, 1070, 10773, 1114, 7980, 32, 2613, 2435, 1188, 10421, 2422, 4420, 203, 1070, 10773, 1114, 7980, 32, 2613, 2435, 32, 2613, 101, 1188, 2032, 2597, 203, 1070, 10773, 1114, 7980, 32, 809, 761, 1188, 15105, 924, 203, 1070, 10773, 1114, 7980, 32, 9698, 32, 27342, 1188, 3772, 4420, 30, 4808, 4420, 203, 1070, 10773, 1114, 7980, 32, 9698, 32, 2393, 1188, 6227, 1761, 30, 4808, 7099, 2681, 203, 1070, 10773, 1114, 7980, 32, 9698, 32, 3378, 1188, 23339, 81, 37082, 81, 3364, 30, 5170, 203, 1070, 10773, 1114, 7980, 32, 9698, 32, 25078, 1188, 12020, 6899, 10467, 7167, 203, 1070, 10773, 1114, 7980, 32, 9698, 32, 2304, 1188, 622, 81, 941, 38951, 81, 2393, 203, 1070, 10773, 1114, 7980, 32, 25931, 32, 21332, 1188, 5592, 8358, 81, 1580, 261, 203, 1070, 10773, 1114, 7980, 32, 25931, 32, 21332, 32, 39362, 1188, 3185, 619, 22045, 81, 2208, 203, 1070, 10773, 1114, 7980, 32, 25931, 32, 21332, 32, 39362, 1188, 1326, 619, 22045, 81, 1357, 203, 1070, 10773, 1114, 7980, 32, 25931, 32, 21332, 32, 39362, 32, 2208, 1188, 707, 7345, 619, 22045, 81, 311, 7345, 203, 1070, 10773, 1114, 7980, 32, 39362, 37, 32, 1040, 1188, 2756, 81, 5177, 10933, 10079, 203, 465, 10773, 203, 1070, 10773, 1114, 3259, 32, 8524, 1188, 33846, 3951, 203, 1070, 10773, 1114, 3259, 32, 11452, 1188, 5033, 31102, 30, 14444, 924, 203, 1070, 10773, 1114, 3259, 32, 13471, 1188, 2866, 81, 2560, 81, 8539, 81, 761, 203, 1070, 10773, 1114, 3259, 32, 3378, 1188, 4354, 1164, 203, 1070, 10773, 1114, 3259, 32, 2304, 32, 8644, 1188, 2267, 81, 5460, 203, 1070, 10773, 1114, 3259, 32, 2304, 32, 18290, 1188, 1505, 81, 983, 81, 5632, 203, 1070, 10773, 1114, 3259, 32, 2304, 32, 89, 19363, 1188, 23092, 81, 424, 203, 1070, 10773, 1114, 3259, 32, 2304, 32, 7490, 1188, 10525, 81, 751, 203, 1070, 10773, 1114, 3259, 32, 2304, 32, 14481, 1188, 308, 284, 44847, 5751, 81, 19814, 69, 30, 7660, 81, 983, 81, 4658, 30, 12780, 81, 1515, 30, 1476, 81, 27958, 30, 16831, 30, 284, 2503, 81, 983, 30, 2179, 81, 891, 30, 622, 81, 18132, 81, 1648, 30, 540, 41718, 30, 6122, 407, 30, 284, 18186, 81, 761, 30, 203, 27, 203, 1070, 10773, 1114, 3259, 32, 2304, 32, 43764, 81, 1832, 1188, 5798, 2418, 31081, 81, 2514, 2331, 203, 1070, 10773, 1114, 3259, 32, 2304, 32, 1433, 81, 1515, 1188, 5969, 4542, 203, 1070, 10773, 1114, 3259, 32, 2304, 32, 1707, 1188, 13290, 5280, 2570, 203, 1070, 10773, 1114, 3259, 32, 37645, 1188, 354, 1729, 203, 1270, 44, 284, 1188, 17778, 261, 203, 7343, 29986, 44, 284, 17778, 280, 1665, 203, 21415, 81, 15174, 280, 308, 6482, 438, 646, 1665, 27, 556, 2756, 81, 5177 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 2, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 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, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 2, 2, 2, 2, 2, 5, 5, 0, 3, 3, 3, 2, 2, 6, 5, 5, 5, 4, 3, 3, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 1, 2, 12, 12, 12, 12, 12, 12, 0, 0, 13, 13, 1, 2, 1, 4, 4, 13, 13, 0, 0, 0, 14, 14, 1, 2, 1, 4, 4, 1, 6, 6, 14, 14, 0, 0, 15, 15, 1, 2, 1, 4, 4, 15, 15, 0, 0, 16, 16, 1, 2, 1, 4, 1, 6, 16, 16, 0, 16, 16, 0, 0, 17, 17, 1, 2, 1, 4, 1, 6, 17, 17, 0, 17, 17, 0, 0, 0, 18, 18, 1, 2, 1, 4, 1, 6, 18, 18, 0, 0, 0, 0, 18, 18, 0, 19, 19, 1, 2, 1, 4, 1, 6, 19, 19, 0, 0, 0, 0, 20, 20, 1, 2, 1, 4, 1, 6, 20, 20, 0, 0, 0, 0, 0, 0, 21, 21, 1, 2, 1, 4, 1, 6, 21, 21, 0, 0, 0, 0, 0, 22, 22, 1, 2, 1, 4, 1, 6, 1, 8, 22, 22, 3, 3, 2, 2, 0, 23, 23, 1, 2, 1, 4, 1, 6, 1, 8, 23, 23, 3, 3, 2, 2, 0, 24, 24, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 24, 24, 0, 3, 3, 2, 2, 2, 0, 25, 25, 1, 2, 1, 4, 4, 1, 6, 25, 25, 0, 0, 0, 0, 0, 26, 26, 0, 27, 27, 1, 2, 1, 4, 27, 27, 0, 0, 28, 28, 1, 2, 1, 4, 28, 28, 0, 28, 28, 0, 0, 29, 29, 1, 2, 1, 4, 29, 29, 0, 0, 0, 0, 0, 0, 0, 30, 30, 1, 2, 1, 4, 30, 30, 0, 0, 31, 31, 1, 2, 1, 4, 1, 6, 31, 31, 0, 0, 0, 32, 32, 1, 2, 1, 4, 1, 6, 32, 32, 0, 0, 0, 0, 0, 33, 33, 1, 2, 1, 4, 1, 6, 6, 33, 33, 0, 0, 0, 34, 34, 1, 2, 1, 4, 1, 6, 34, 34, 0, 0, 0, 35, 35, 1, 2, 1, 4, 1, 6, 35, 35, 35, 35, 0, 0, 0, 0, 35, 35, 0, 0, 0, 0, 35, 35, 0, 0, 35, 35, 0, 0, 35, 35, 35, 35, 35, 0, 0, 35, 35, 0, 0, 35, 35, 0, 0, 0, 0, 35, 35, 0, 35, 35, 0, 35, 35, 35, 0, 0, 35, 35, 35, 0, 36, 36, 1, 2, 1, 4, 1, 6, 6, 6, 36, 36, 0, 0, 0, 0, 0, 0, 37, 37, 1, 2, 1, 4, 1, 6, 6, 6, 37, 37, 0, 0, 38, 38, 1, 2, 1, 4, 1, 6, 38, 38, 0, 0, 0, 39, 39, 1, 2, 1, 4, 39, 39, 0, 0, 40, 40, 40, 40, 0, 40, 40, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2 ]
[ 465, 27374, 203, 465, 298, 2209, 6634, 203, 15788, 19864, 20, 2115, 81, 87, 261, 203, 2754, 18013, 41, 27, 307, 1717, 4213, 31, 280, 1483, 32, 3227, 5528, 96, 392, 7746, 324, 415, 15503, 461, 15503, 32, 1809, 440, 21153, 10280, 400, 19781, 81, 668, 280, 15503, 32, 2998, 440, 21153, 657, 400, 415, 19781, 81, 668, 77, 34, 79, 461, 19781, 81, 668, 77, 35, 2786, 528, 341, 81, 668, 32, 1689, 15520, 426, 563, 19781, 81, 668, 77, 34, 614, 313, 2310, 563, 19781, 81, 668, 77, 35, 33993, 291, 442, 341, 81, 668, 284, 2940, 44, 291, 4082, 32, 731, 26, 35382, 32, 1643, 81, 14806, 1157, 291, 442, 341, 81, 668, 284, 8295, 44, 291, 296, 32, 2679, 346, 203, 589, 1974, 81, 452, 81, 17022, 26, 105, 81, 668, 711, 284, 436, 341, 81, 2665, 328, 341, 81, 668, 44, 291, 1459, 26, 105, 81, 2665, 27, 291, 3082, 32, 1338, 81, 1112, 32, 1877, 15520, 426, 563, 341, 81, 2665, 32, 371, 440, 426, 392, 7746, 835, 341, 81, 2665, 30, 46734, 47, 1815, 27, 203, 589, 2575, 2262, 284, 341, 81, 668, 280, 622, 81, 1112, 81, 668, 440, 108, 314, 2531, 32, 2760, 657, 284, 588, 1459, 26, 105, 81, 668, 27, 284, 1974, 81, 452, 81, 17022, 26, 105, 81, 668, 27, 284, 1459, 440, 12226, 17000, 657, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 2575, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 3, 1, 3, 3, 2, 5, 5, 5, 6, 7, 6, 6, 0, 1, 3, 2, 5, 5, 5, 4, 6, 6, 1, 1, 5, 5, 5, 4, 7, 7, 7, 7, 8, 2, 2, 3, 3, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 3, 3, 3, 8, 8, 8, 8, 8, 11, 11, 9, 11, 11, 11, 11, 10, 11, 11, 11, 9, 11, 11, 11, 11, 0, 1, 1, 1, 2, 2, 3, 3, 2, 6, 6, 5, 6, 8, 8, 8, 8, 8, 8, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 5, 6, 6, 5, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 3, 4, 4, 3, 3, 7, 7, 7, 8, 8, 4, 4, 4, 9, 8, 9, 9, 8, 8, 8, 11, 11, 11, 12, 12, 12, 11, 11, 13, 13, 11, 13, 11, 8, 8, 9, 9, 9, 8, 9, 9, 1, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 2, 5, 5, 5, 7, 7, 7, 7, 7, 7, 1, 3, 3, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0, 0, 3, 0, 0, 2, 0, 0, 2, 1, 0, 5, 0, 1, 0, 0, 2, 1, 0, 1, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 0, 3, 3, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 3, 0, 0, 0, 0, 0, 6, 6, 6, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 8, 8, 8, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 10, 10, 0, 1, 1, 1, 0, 3, 3, 0, 0, 0, 0, 0, 1, 1, 5, 5, 5, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 3, 3, 0, 0, 0, 5, 2, 2, 11, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 12, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 18971, 1188, 5170, 30, 1326, 203, 1070, 485, 36937, 32, 1840, 1188, 1123, 30, 24764, 81, 6565, 203, 1070, 18971, 32, 407, 32, 3615, 1188, 1550, 81, 496, 203, 1070, 485, 36937, 32, 1840, 32, 1237, 32, 7621, 1188, 4125, 81, 13842, 30, 2680, 924, 203, 1070, 485, 36937, 32, 1439, 32, 8861, 32, 4617, 3697, 1188, 1505, 81, 277, 279, 30, 16975, 81, 277, 279, 203, 1070, 485, 36937, 32, 1199, 32, 3378, 1188, 2680, 203, 1070, 18971, 32, 407, 32, 3615, 1188, 6207, 81, 496, 203, 1070, 485, 36937, 32, 1840, 32, 2393, 1188, 24014, 1240, 203, 1070, 485, 36937, 32, 1840, 32, 1040, 1188, 570, 36937, 2595, 4420, 203, 465, 5167, 203, 465, 5741, 203, 4073, 280, 570, 36937, 2595, 4420, 26, 7490, 32, 10579, 440, 8360, 2371, 32, 1840, 32, 4338, 32, 1237, 2131, 203, 589, 622, 81, 11374, 26, 11702, 30, 319, 1132, 711, 284, 442, 5436, 1162, 91, 30, 9473, 32, 371, 26, 91, 490, 436, 595, 328, 2181, 27, 203, 50, 725, 32, 4351, 4207, 1237, 33, 3615, 392, 4438, 280, 3037, 3705, 6890, 203, 589, 4125, 81, 3615, 2262, 284, 665, 3117, 26, 1382, 81, 496, 711, 291, 6207, 81, 496, 26, 1382, 81, 496, 27, 291, 442, 5170, 26, 324, 1789, 280, 313, 24724, 12946, 328, 4414, 324, 4826, 280, 3447, 74, 31, 1853, 4411, 563, 313, 1815, 3612, 291, 829, 284, 665, 7829, 2262, 291, 442, 5170, 26, 324, 1789, 280, 313, 27124, 4096, 556, 3882, 4414, 324, 4826, 280, 3447, 74, 31, 1853, 4411, 563, 313, 2700, 3612, 291, 829, 284, 2857, 81, 1956, 280, 1326, 32, 599, 32, 371, 440, 3560, 81, 1956, 392, 1665, 27, 284, 415, 2857, 81, 1956, 461, 24764, 81, 6565, 44, 291, 3616, 280, 5167, 32, 1526, 26, 324, 313, 641, 555, 1499, 32, 12717, 32, 508, 33, 10772, 36, 33, 104, 35, 33, 1956, 1338, 392, 324, 706, 280, 301, 313, 3560, 81, 1956, 563, 2857, 81, 1956, 320, 291, 829, 291, 3616, 81, 1260, 280, 3616, 32, 1260, 346, 291, 4096, 280, 3616, 81, 1260, 32, 371, 440, 1935, 392, 313, 6876, 657, 291, 415, 3616, 32, 1517, 81, 687, 863, 5167, 32, 7787, 32, 1253, 44, 324, 4082, 32, 1338, 440, 3817, 16812, 36, 6207, 810, 904, 101, 4414, 4096, 27, 324, 442, 7829, 346, 291, 415, 3616, 81, 1260, 1365, 31317, 1446, 863, 1123, 32, 1163, 1365, 32327, 81, 26497, 1798, 1438, 81, 779, 18270, 324, 4082, 32, 731, 26, 400, 313, 3910, 31, 19807, 36021, 1600, 14098, 436, 1256, 904, 101, 4414, 4096, 324, 829, 324, 442, 7829, 346, 291, 1596, 44, 324, 1256, 280, 24014, 1240, 26, 1240, 32, 5740, 32, 371, 26, 1935, 280, 3616, 81, 1260, 1365, 1935, 23821, 291, 2940, 2680, 32, 34747, 44, 324, 4082, 32, 1338, 26, 400, 313, 1240, 904, 101, 11280, 328, 4729, 16812, 36, 1273, 312, 570, 36937, 3497, 1957, 646, 313, 400, 313, 12527, 436, 688, 1256, 4414, 4096, 324, 829, 324, 442, 7829, 346, 291, 4082, 32, 1338, 440, 1240, 904, 101, 7504, 11280, 328, 623, 16812, 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 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 4, 4, 4, 4, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 2, 1, 1, 3, 5, 7, 6, 6, 8, 9, 8, 9, 8, 5, 6, 6, 6, 5, 0, 2, 5, 4, 5, 4, 6, 6, 6, 6, 4, 5, 5, 8, 8, 1, 2, 2, 3, 3, 3, 2, 2, 4, 5, 6, 6, 6, 5, 4, 4, 8, 8, 8, 9, 9, 9, 8, 5, 5, 6, 8, 8, 8, 9, 9, 11, 11, 11, 11, 8, 8, 9, 9, 13, 13, 13, 13, 13, 11, 13, 13, 8, 8, 3, 3, 4, 5, 4, 4, 6, 8, 8, 8, 9, 9, 11, 11, 11, 11, 11, 8, 8, 9, 9, 13, 13, 13, 13, 13, 11, 13, 13, 8, 8, 3, 3, 6, 6, 5, 5, 8, 9, 7, 8, 7, 9, 9, 9, 9, 7, 7, 3, 3, 4, 6, 6, 5, 5, 6, 6, 4, 4, 4, 7, 7, 9, 10, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 11, 14, 14, 14, 14, 12, 13, 13, 11, 9, 9, 5, 5, 8, 8, 7, 7, 9, 10, 9, 5, 5, 7, 7, 10, 10, 9, 10, 9, 11, 11, 9, 11, 11, 5, 5, 6, 8, 9, 9, 9, 7, 7, 9, 10, 8, 9, 6, 6, 6, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 7, 7, 8, 10, 5, 5, 6, 9, 9, 8, 10, 10, 7, 7, 9, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 6, 6, 10, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 10, 7, 7, 8, 10, 5, 5, 6, 6, 6, 9, 9, 11, 11, 15, 14, 15, 13, 14, 13, 15, 14, 14, 16, 16, 15, 17, 17, 6, 6, 7, 8, 9, 7, 7, 7, 11, 12, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 14, 14, 14, 14, 14, 11, 11, 11, 8, 8, 9, 11, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 1, 4, 1, 6, 6, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 9, 9, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 1, 2, 2, 1, 2, 12, 12, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 13, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 0, 0, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 3, 3, 3, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 4, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 5, 5, 5, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 5, 5, 3, 1, 2, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6103, 81, 15916, 11980, 280, 308, 284, 2726, 21730, 370, 330, 61, 2842, 401, 3795, 1425, 284, 2726, 1893, 370, 330, 2185, 90, 1691, 5186, 1525, 615, 1425, 284, 2726, 14311, 370, 330, 30474, 13573, 1425, 284, 2726, 27052, 370, 330, 70, 20701, 489, 339, 103, 1425, 284, 2726, 26700, 370, 330, 63, 2371, 282, 917, 2692, 1425, 284, 2726, 2418, 370, 330, 71, 2251, 282, 5186, 1525, 615, 1425, 284, 2726, 11482, 370, 330, 6098, 83, 1425, 284, 2726, 24438, 370, 330, 5708, 6857, 269, 1425, 284, 2726, 68, 60, 370, 330, 68, 2461, 633, 14593, 1425, 284, 2726, 3606, 370, 330, 58, 449, 867, 279, 5186, 1525, 615, 1425, 284, 2726, 20295, 370, 330, 60, 404, 6974, 461, 1224, 917, 18942, 1425, 284, 2726, 783, 370, 330, 51, 1945, 867, 279, 5186, 1525, 615, 1425, 284, 2726, 1099, 370, 330, 4015, 404, 1425, 284, 2726, 4758, 370, 330, 52, 10006, 282, 1425, 284, 2726, 9421, 370, 330, 828, 3131, 297, 17600, 90, 1425, 284, 2726, 5137, 370, 330, 58, 672, 5488, 1425, 284, 2726, 37104, 370, 330, 31685, 1087, 4668, 1425, 284, 2726, 1456, 370, 330, 43945, 4486, 83, 5186, 1525, 615, 1425, 284, 2726, 17741, 370, 330, 29505, 305, 1425, 284, 2726, 1679, 370, 330, 1432, 3141, 279, 13653, 1425, 284, 2726, 31189, 370, 330, 63, 425, 271, 404, 1425, 284, 2726, 15619, 370, 330, 64, 45908, 363, 1425, 284, 2726, 758, 370, 330, 1527, 47250, 1425, 284, 2726, 13181, 370, 330, 66, 311, 28106, 1425, 284, 2726, 9718, 370, 330, 69, 1546, 41065, 1425, 284, 2726, 1310, 370, 330, 16921, 5669, 1425, 284, 2726, 10309, 370, 330, 71, 2251, 24776, 4668, 1425, 284, 2726, 21698, 370, 330, 26007, 551, 819, 279, 1425, 284, 2726, 927, 370, 330, 2185, 12241, 461, 489, 295, 23651, 1425, 284, 2726, 1405, 370, 330, 828, 363, 37045, 90, 1425, 284, 2726, 11679, 370, 330, 54, 339, 1691, 461, 489, 481, 282, 677, 6075, 91, 1425, 284, 2726, 2918, 370, 330, 54, 12241, 461, 6349, 103, 1425, 284, 2726, 4112, 370, 330, 3735, 4980, 1425, 284, 2726, 7118, 370, 330, 62, 774, 615, 339, 16826, 1425, 284, 2726, 5177, 370, 330, 66, 6257, 1190, 10257, 1425, 203, 27, 203, 4249, 940, 81, 15644, 22692, 280, 301, 284, 330, 3795, 950, 330, 21730, 370, 284, 330, 93, 2842, 269, 3795, 950, 330, 21730, 370, 284, 330, 1528, 950, 330, 27052, 370, 284, 330, 102, 20701, 45469, 950, 330, 27052, 370, 284, 330, 102, 20701, 45469, 103, 950, 330, 27052, 370, 284, 330, 16878, 1148, 1525, 615, 950, 330, 1893, 370, 284, 330, 363, 1067, 100, 1525, 615, 950, 330, 1893, 370, 284, 330, 363, 90, 1067, 100, 1525, 615, 950, 330, 1893, 370, 284, 330, 934, 90, 9132, 11560, 950, 330, 26700, 370, 284, 330, 20924, 950, 330, 26700, 370, 284, 330, 368, 950, 330, 1893, 370, 284, 330, 3657, 950, 330, 4112, 370, 284, 330, 583, 950, 330, 2918, 370, 284, 330, 839, 950, 330, 4758, 370, 284, 330, 282, 950, 330, 783, 370, 284, 330, 1990, 950, 330, 9718, 370, 284, 330, 9928 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 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, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6, 6, 4, 6, 6, 3, 3, 6 ]
[ 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 9, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 13, 1, 1, 2, 2, 2, 1, 2, 15, 1, 1, 1, 2, 2, 2, 1, 1, 2, 17, 1, 1, 1, 1, 2, 2, 2, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 21, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 23, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 25, 1, 1, 2, 2, 2, 1, 2, 27, 1, 1, 1, 2, 2, 2, 1, 2, 29, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 31, 1, 1, 1, 2, 2, 2, 1, 2, 33, 1, 1, 1, 2, 2, 2, 1, 2, 35, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 37, 1, 1, 2, 2, 2, 1, 2, 39, 1, 1, 1, 1, 2, 2, 2, 1, 2, 41, 1, 1, 1, 1, 2, 2, 2, 1, 2, 43, 1, 1, 1, 2, 2, 2, 1, 2, 45, 1, 1, 2, 2, 2, 1, 2, 47, 1, 1, 1, 2, 2, 2, 1, 2, 49, 1, 1, 1, 2, 2, 2, 1, 2, 51, 1, 1, 2, 2, 2, 1, 2, 53, 1, 1, 1, 1, 2, 2, 2, 1, 2, 55, 1, 1, 1, 1, 2, 2, 2, 1, 2, 57, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 59, 1, 1, 1, 1, 2, 2, 2, 1, 2, 61, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 63, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 65, 1, 1, 2, 2, 2, 1, 2, 67, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 69, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 2, 7, 1, 2, 2, 2, 1, 1, 1, 1, 2, 9, 1, 2, 2, 2, 1, 1, 1, 1, 2, 11, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 13, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 15, 1, 2, 2, 2, 1, 1, 1, 1, 2, 17, 1, 2, 2, 2, 1, 2, 19, 1, 2, 2, 2, 1, 2, 21, 1, 2, 2, 2, 1, 2, 23, 1, 2, 2, 2, 1, 2, 25, 1, 2, 2, 2, 1, 2, 27, 1, 2, 2, 2, 1, 2, 29, 1, 2, 2, 2, 1, 2, 31, 1, 2, 2, 2, 1 ]
[ 1070, 310, 417, 295, 32, 20934, 32, 1658, 11810, 571, 8014, 483, 32, 1761, 23380, 1188, 3772, 23380, 203, 823, 9500, 47465, 26, 1761, 23380, 711, 334, 665, 1156, 1664, 3207, 784, 30, 37019, 37050, 11414, 1873, 370, 330, 990, 370, 330, 417, 370, 330, 1746, 2188, 3083, 5733, 29835, 47465, 47, 35, 30, 37019, 2527, 959, 47, 2700, 30, 319, 1132, 30, 1115, 5321, 711, 284, 3772, 23380, 3667, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 27, 284, 415, 37019, 37050, 610, 330, 464, 950, 397, 37019, 37050, 280, 2107, 1873, 370, 330, 990, 370, 330, 417, 370, 330, 1746, 370, 291, 330, 274, 88, 671, 875, 370, 330, 1873, 417, 370, 330, 990, 1746, 370, 330, 990, 417, 785, 284, 813, 44, 397, 436, 6983, 328, 37019, 37050, 44, 291, 415, 6983, 646, 328, 2726, 1873, 370, 330, 990, 370, 330, 417, 370, 330, 1746, 370, 324, 330, 1873, 417, 370, 330, 417, 1873, 370, 330, 274, 88, 671, 875, 370, 330, 1746, 1873, 370, 324, 330, 990, 417, 370, 330, 417, 990, 370, 330, 990, 1746, 370, 330, 1746, 990, 7831, 616, 3636, 26405, 463, 5842, 37019, 6983, 44, 904, 101, 25, 904, 6983, 27, 284, 415, 827, 26, 5494, 29835, 47465, 27, 438, 646, 629, 44, 397, 3636, 26405, 27449, 5494, 29835, 47465, 25, 1395, 526, 600, 4991, 657, 284, 415, 827, 26, 33167, 2527, 959, 27, 646, 328, 308, 2420, 30, 629, 711, 397, 3636, 26405, 27449, 33167, 2527, 959, 25, 1395, 526, 312, 1905, 657, 284, 630, 32, 33167, 37050, 280, 37019, 37050, 284, 630, 32, 5494, 29835, 47465, 280, 5733, 29835, 47465, 284, 630, 32, 33167, 2527, 959, 280, 37019, 2527, 959, 334, 665, 1932, 26, 784, 711, 284, 3772, 23380, 32, 2232, 26, 784, 30, 4193, 47, 2700, 27, 284, 415, 646, 630, 32, 1516, 9604, 44, 397, 442, 284, 630, 32, 7354, 280, 630, 32, 3855, 32, 11447, 26, 784, 32, 33167, 37050, 27, 284, 630, 32, 2705, 710, 893, 785, 280, 630, 32, 3855, 32, 21378, 26, 34, 30, 630, 32, 1516, 9604, 429, 225, 35, 27, 284, 436, 595, 328, 35198, 26, 784, 32, 1516, 11783, 711, 397, 630, 32, 2705, 710, 9211, 8150, 91, 79, 280, 630, 32, 3855, 32, 21378, 26, 34, 30, 291, 630, 32, 1516, 2348, 18352, 77, 91, 79, 429, 225, 35, 27, 284, 13996, 9604, 280, 630, 32, 371, 22751, 9604, 346, 284, 6115, 1501, 280, 630, 1114, 18742, 16826, 26594, 26, 15688, 9604, 77, 34, 1130, 284, 415, 630, 32, 7354, 610, 330, 1873, 950, 397, 630, 32, 2705, 710, 2881, 8150, 34, 79, 280, 6115, 1501, 77, 36, 79, 429, 225, 35, 397, 630, 32, 2705, 710, 2881, 8150, 35, 79, 280, 630, 32, 3855, 32, 21378, 26, 5682, 1501, 77, 35, 614, 6115, 1501, 77, 37, 79, 429, 225, 35, 27, 284, 4348, 630, 32, 7354, 610, 330, 990, 950, 397, 630, 32, 2705, 710, 2881, 8150, 34, 79, 280, 6115, 1501, 77, 34, 79, 397, 630, 32, 2705, 710, 2881, 8150, 35, 79, 280, 630, 32, 3855, 32, 21378 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 5, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 4, 4, 6, 6, 5, 6, 4, 4, 6, 6, 5, 6, 4, 4, 6, 4, 4, 6, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 9, 7, 7, 9, 7, 4, 4, 5, 7, 6, 6, 8, 8, 5, 5, 9, 8, 8, 11, 11, 9, 11, 11, 9, 11, 11, 9, 11, 11, 9, 9, 11, 11, 11, 11, 11, 9, 11, 11, 11, 9, 11, 11, 11, 9, 11, 11, 11, 5, 5, 6, 6, 6, 8, 8, 8, 9, 8, 8, 8, 10, 11, 11, 11, 14, 14, 12, 14, 14, 12, 14, 14, 12, 14, 14, 12, 12, 14, 14, 14, 12, 14, 14, 14, 12, 14, 14, 14, 14, 14, 12, 14, 14, 14, 12, 12, 14, 14, 14, 12, 14, 14, 14, 12, 14, 14, 14, 12, 14, 14, 14, 10, 10, 12, 14, 17, 17, 17, 17, 17, 17, 17, 15, 15, 14, 4, 4, 5, 8, 9, 9, 9, 8, 6, 6, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 8, 9, 9, 9, 8, 6, 6, 6, 8, 7, 7, 7, 5, 5, 7, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 2, 2, 3, 4, 5, 4, 3, 3, 8, 7, 8, 7, 8, 7, 7, 8, 9, 7, 4, 4, 5, 6, 7, 8, 8, 5, 5, 5, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 8, 4, 4, 8, 9, 7, 9, 9, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 10, 11, 11, 9, 9, 10, 8, 4, 4, 5, 5, 5, 7, 9, 8, 9, 9, 7, 5, 5, 11, 12, 10, 12, 12, 10, 9, 8, 8, 11, 12, 10, 11, 10, 11, 10, 10, 10, 13, 14, 14, 14, 12, 13, 12, 11, 11, 12, 10, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 8, 9, 9, 9, 8, 10, 10, 9, 10, 9, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 11, 12, 10, 12, 12, 10, 9, 8, 8, 11, 10, 11, 10, 9, 9, 10, 6, 6, 11, 12, 10, 12, 12, 10, 9, 8, 8, 11, 12, 10, 11, 10, 12, 12, 11, 12, 11, 10, 13, 12, 13, 12, 11, 11, 12, 10, 5, 5, 6, 8, 9, 7, 7, 9, 9, 6, 6, 12, 13, 11, 13, 13, 11, 10, 9, 9, 11, 10, 11, 10, 7, 7, 12, 13, 11, 13, 13, 11, 10, 9, 9, 12, 13, 11, 12 ]
[ 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 1, 6, 6, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 3, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 5, 2, 2, 2, 0, 0, 7, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 3, 3, 2, 1, 4, 4, 4, 4, 4, 1, 0, 1, 2, 2, 1, 4, 4, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 3, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 4, 4, 7, 0, 2, 1, 1, 1, 2, 7, 7, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 3, 3, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 3, 3, 2, 1, 7, 7, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 3, 3, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2 ]
[ 1070, 37920, 32, 2304, 1188, 7138, 81, 2304, 619, 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, 17777, 81, 2592, 463, 1199, 2200, 81, 2200, 14157, 24720, 2200, 370, 330, 1935, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1449, 81, 1322, 47, 41, 39, 490, 291, 3082, 32, 17777, 81, 2592, 463, 1199, 2200, 81, 2200, 28850, 1835, 607, 370, 330, 1935, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 5665, 47, 1815, 30, 1769, 81, 1322, 47, 41, 39, 490, 291, 3082, 32, 17777, 81, 2592, 463, 1199, 2200, 81, 2200, 315, 300, 2200, 370, 330, 1935, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1449, 81, 1322, 47, 41, 39, 490, 291, 3082, 32, 17777, 81, 2592, 463, 1199, 2200, 81, 2200, 2387, 370, 330, 1070, 81, 1935, 81, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 24174, 452, 47, 494, 710, 1199, 2200, 32, 8602, 1792, 4477, 2188, 744, 47, 1815, 30, 544, 81, 2560, 47, 3378, 32, 2695, 81, 3293, 490, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 17777, 81, 2592, 463, 1199, 2200, 81, 2200, 14157, 24720, 2200, 370, 330, 1935, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4477, 1176, 24174, 1449, 81, 1322, 47, 41, 39, 490, 291, 3082, 32, 17777, 81, 2592, 463, 1199, 2200, 81, 2200, 28850, 1835, 607, 370, 330, 1935, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4477, 1176, 24174, 1449, 81, 1322, 47, 41, 39, 30, 5799, 47, 1815, 490, 291, 3082, 32, 17777, 81, 2592, 463, 1199, 2200, 81, 2200, 315, 300, 2200, 370, 330, 1935, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4477, 1176, 24174, 1449, 81, 1322, 47, 41, 39, 490, 291, 3082, 32, 17777, 81, 2592, 463, 1199, 2200, 81, 2200, 2387, 370, 330, 1070, 81, 1935, 81, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 24174, 452, 47, 494, 710, 1199, 2200, 32, 8602, 1792, 4477, 2188, 744, 47, 1815, 490, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 2, 2, 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, 7, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 10, 11, 11, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 9, 9, 11, 11, 10, 11, 11, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 10, 11, 11, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 9, 10, 11, 9, 9, 11, 11, 10, 12, 11, 12, 12, 12, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 10, 11, 11, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 10, 11, 11, 9, 9, 10, 11, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 10, 11, 11, 9, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 7, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 12, 11, 13, 13, 13, 13, 13, 13, 13, 9, 10, 11, 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 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 3, 3, 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, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 0, 0, 5, 0, 2, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 3, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 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 ]
[ 505, 2116, 505, 262, 280, 313, 62, 6303, 40476, 676, 335, 278, 11111, 333, 35279, 278, 11111, 50, 329, 32, 417, 85, 32, 7589, 5844, 203, 505, 11794, 505, 225, 280, 313, 10581, 225, 36, 34, 35, 36, 31, 36, 34, 35, 38, 30, 498, 6303, 40476, 676, 335, 278, 11111, 333, 35279, 278, 11111, 50, 329, 32, 417, 85, 32, 7589, 5844, 203, 505, 2077, 505, 264, 280, 313, 21181, 1503, 225, 36, 556, 308, 269, 1370, 2470, 27, 1346, 6125, 1503, 20, 203, 505, 42086, 505, 280, 313, 501, 2312, 278, 677, 2461, 27405, 11270, 20, 203, 505, 1935, 505, 647, 280, 313, 270, 2312, 278, 4945, 50, 4783, 32, 45744, 32, 16110, 32, 508, 20, 203, 1070, 554, 329, 364, 1052, 1188, 963, 203, 589, 4450, 26, 5057, 30, 9161, 711, 284, 963, 463, 1109, 1348, 803, 438, 33579, 810, 554, 329, 364, 1052, 30, 745, 646, 4553, 32, 569, 370, 291, 2550, 291, 5307, 5527, 20948, 505, 36328, 81, 25459, 81, 58, 370, 291, 5307, 1234, 20948, 505, 36328, 81, 25459, 81, 58, 370, 291, 2550, 291, 5307, 1017, 333, 1530, 2420, 32, 90, 10154, 291, 9142, 284, 588, 264, 963, 463, 5320, 3833, 301, 683, 284, 436, 484, 328, 5216, 44, 291, 963, 463, 264, 20948, 16335, 101, 1947, 904, 484, 32, 426, 32, 7607, 1157, 284, 963, 463, 264, 20948, 81, 8055, 81, 7498, 370, 291, 24973, 16313, 1151, 779, 45, 683, 284, 588, 264, 436, 484, 328, 5216, 44, 291, 415, 330, 5820, 25, 328, 484, 32, 4642, 44, 324, 5887, 280, 225, 34, 291, 813, 44, 324, 5887, 280, 225, 35, 291, 415, 313, 5478, 89, 31, 1545, 20, 328, 484, 32, 4642, 44, 324, 588, 1468, 963, 3609, 1234, 20948, 16335, 26, 426, 27, 101, 81, 17557, 18147, 6565, 27, 86, 370, 400, 636, 47, 87, 32, 7318, 32, 7318, 32, 426, 32, 7607, 1026, 400, 5887, 47, 6565, 27, 291, 963, 3609, 1234, 20948, 16335, 101, 81, 17557, 904, 86, 25, 904, 308, 87, 32, 426, 32, 7607, 1026, 5887, 490, 284, 963, 3609, 1017, 313, 5707, 33, 1567, 31, 3259, 32, 90, 21684, 291, 2550, 291, 5307, 2070, 225, 1257, 20948, 505, 36328, 81, 25459, 81, 58, 569, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 3, 3, 3, 3, 1, 3, 3, 1, 2, 2, 3, 3, 3, 2, 1, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 4, 3, 7, 7, 10, 10, 10, 10, 10, 8, 8, 12, 12, 12, 11, 10, 2, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 6, 6, 4, 4, 6, 6, 6, 3, 7, 6, 6, 6, 3, 4, 4, 4, 8, 7, 7, 7, 2, 3, 3, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 7, 7, 6, 13, 13, 13, 12, 12, 11, 11, 10, 9, 4, 6, 6, 6, 6, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 11, 11, 11, 10, 9, 8, 7, 2, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 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, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 0, 0, 0, 0, 5, 0, 0, 6, 1, 1, 1, 1, 3, 2, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 4, 2, 2, 2, 3, 3, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 1, 1, 1, 1, 0, 2, 2, 5, 0, 0, 0, 0, 5, 4, 4, 4, 0, 0, 0, 0, 4, 6, 6, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 0, 0, 2, 2, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 3, 2, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 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 ]
[ 325, 1156, 426, 505, 610, 11477, 1831, 14935, 284, 1188, 5237, 284, 1188, 2322, 284, 12870, 81, 1515, 280, 2322, 32, 983, 32, 2998, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 77, 34, 79, 284, 2935, 81, 1515, 30, 12870, 81, 426, 280, 2322, 32, 983, 32, 2998, 26, 4652, 81, 1515, 27, 284, 438, 81, 978, 3626, 81, 4652, 280, 308, 4652, 81, 426, 610, 330, 4882, 25, 461, 3486, 2322, 32, 983, 32, 2998, 26, 2544, 81, 1515, 5594, 35, 79, 610, 330, 978, 3626, 683, 284, 415, 646, 438, 81, 978, 3626, 81, 4652, 44, 291, 5237, 32, 983, 32, 3215, 26, 34, 30, 2935, 81, 1515, 27, 203, 1824, 44, 284, 438, 81, 978, 3626, 81, 4652, 280, 1156, 426, 9818, 15990, 463, 978, 3626, 32, 4882, 11834, 203, 325, 438, 81, 978, 3626, 81, 4652, 44, 284, 645, 23978, 32, 4882, 32, 858, 81, 2304, 1188, 894, 81, 1206, 81, 17788, 30, 15798, 203, 1824, 44, 284, 645, 894, 32, 858, 81, 2304, 1188, 894, 81, 1206, 81, 17788, 30, 15798, 203, 465, 23978, 203, 465, 5237, 203, 823, 22820, 4631, 1006, 308, 18986, 32, 7233, 711, 284, 665, 894, 81, 809, 308, 784, 711, 291, 14841, 280, 23978, 32, 8811, 1833, 39, 30, 225, 39, 490, 291, 14841, 32, 809, 1404, 291, 630, 32, 4983, 308, 6449, 32, 371, 81, 16073, 23296, 2933, 27, 291, 630, 32, 4983, 308, 6449, 32, 371, 81, 26452, 23296, 308, 6449, 33702, 291, 14841, 32, 809, 1404, 291, 630, 32, 4983, 308, 6449, 32, 371, 81, 16073, 23296, 2933, 27, 291, 630, 32, 4983, 308, 6449, 32, 371, 81, 26452, 23296, 308, 6449, 30, 14841, 490, 291, 14841, 32, 11200, 1404, 291, 630, 32, 4983, 308, 6449, 32, 371, 81, 16073, 23296, 2933, 27, 291, 630, 32, 4983, 308, 6449, 32, 371, 81, 26452, 23296, 308, 6449, 33702, 291, 14841, 32, 11200, 1404, 291, 630, 32, 4983, 308, 6449, 32, 371, 81, 16073, 23296, 3177, 27, 291, 630, 32, 4983, 308, 6449, 32, 371, 81, 26452, 23296, 22975, 284, 665, 894, 81, 1113, 12537, 81, 809, 308, 784, 711, 291, 14841, 280, 23978, 32, 8811, 1833, 39, 30, 225, 39, 490, 291, 1361, 6449, 280, 14841, 32, 1113, 12537, 1833, 35, 30, 225, 35, 30, 225, 36, 30, 225, 36, 490, 291, 14841, 36, 280, 23978, 32, 8811, 1833, 39, 30, 225, 39, 490, 291, 14841, 36, 32, 36210, 308, 1113, 6449, 30, 308, 34, 30, 225, 34, 490, 291, 14841, 36, 32, 36210, 308, 6449, 30, 308, 34, 30, 225, 34, 490, 291, 630, 32, 23895, 308, 978, 3626, 32, 731, 30, 14841, 32, 36210, 30, 1361, 6449, 30, 308, 34, 30, 225, 34, 490, 291, 14841, 32, 809, 1404, 291, 14841, 36, 32, 36210, 308, 1113, 6449, 30, 308, 34, 30, 225, 34, 490, 291, 630, 32, 23895, 308, 978, 3626, 32, 731, 30, 14841, 36, 32, 36210, 30, 14841, 30, 308, 34, 30, 225, 34, 490, 291, 1361, 6449, 32, 809, 1404, 291, 630, 32, 23895, 308, 978, 3626, 32, 731, 30, 14841, 36, 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, 3, 3, 2, 2, 4, 4, 1, 1, 3, 2, 2, 3, 2, 2, 5, 5, 4, 4, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 10, 5, 6, 5, 2, 2, 6, 6, 5, 5, 6, 6, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 8, 8, 8, 7, 7, 9, 9, 6, 6, 6, 11, 12, 10, 11, 10, 11, 11, 11, 10, 9, 8, 7, 7, 9, 9, 9, 2, 2, 3, 4, 5, 5, 5, 5, 5, 3, 3, 3, 8, 9, 7, 8, 7, 8, 7, 7, 8, 8, 7, 1, 2, 2, 2, 2, 6, 6, 6, 6, 6, 5, 5, 8, 8, 8, 7, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 3, 4, 5, 4, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 1, 2, 2, 2, 2, 4, 5, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 4, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 4, 3, 4, 2, 1, 1, 3, 4, 4, 3, 5, 4, 3, 3, 6, 6, 8, 9, 7, 10, 9, 9, 10, 9, 4, 4, 7, 8, 6, 4, 4, 7, 8, 6, 10, 9, 10, 10, 10, 8, 7, 7, 4, 4, 7, 8, 6, 10, 9, 10, 10, 10, 8, 7, 9, 8, 4, 4, 7, 8, 6, 4, 4, 7, 8, 6, 10, 9, 10, 10, 10, 8, 7, 7, 4, 4, 7, 8, 6, 10, 9, 10, 10, 10, 8, 7, 9, 8, 8, 8, 4, 4, 7, 8, 6, 4, 4, 7, 8, 6, 10, 9, 10, 10, 10, 8, 7, 7, 4, 4, 7, 8, 6, 10, 9, 10, 10, 10, 8, 7, 9, 8, 4, 4, 7, 8, 6, 4, 4, 7, 8, 6, 10, 9, 10, 10, 10, 8, 7, 7, 4, 4, 7, 8, 6, 10, 9, 10, 10, 10, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 3, 5, 4, 3, 3, 6, 6, 8, 9, 7, 10, 9, 9, 10, 9, 4, 4, 7, 6, 6, 8, 9, 9, 7, 10, 9, 9, 10, 9, 9, 10, 9, 9, 10, 9, 4, 4, 7, 6, 6, 8, 9, 7, 10, 9, 9, 10, 9, 4, 4, 8, 7, 8, 6, 8, 8, 7, 7, 9, 8, 8, 9, 8, 4, 4, 8, 7, 8, 6, 8, 7, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 6, 9, 9, 8, 9, 7, 7, 8, 9, 7, 7, 8, 7, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 6, 4, 4, 8, 7, 8, 6, 8, 8, 7, 7, 9, 8, 8, 9, 8, 4, 4, 7, 8, 6, 9, 9, 8, 9, 7, 7, 9, 8, 9, 7, 7, 7, 7, 9, 8, 8, 9, 8, 4, 4, 8, 7, 8, 6, 4, 4, 7, 8, 6, 9, 9, 8, 9, 7, 7, 9, 8 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 3, 3, 1, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 3, 3, 5, 1, 1, 1, 1, 1, 1, 5, 5, 5, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 4, 4, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 1, 4, 0, 1, 2, 2, 4, 4, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 4, 4, 0, 2, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 3, 4, 4, 0, 2, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 4, 4, 0, 2, 0, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 3, 1, 4, 4, 0, 0, 2, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 0, 2, 0, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 1, 1, 1, 7, 7, 3, 7, 4, 4, 0, 2, 0, 4, 4, 0, 0, 2, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 3, 2, 1, 1, 1, 1, 1, 7, 7, 3, 7, 4, 4, 0, 0, 2, 0, 4, 4, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 3 ]
[ 465, 2322, 203, 465, 4395, 203, 465, 15798, 203, 1070, 18971, 1188, 24014, 203, 1070, 46624, 32, 4280, 1188, 319, 261, 203, 465, 7138, 203, 1070, 3312, 32, 1439, 1188, 546, 6449, 7233, 203, 1070, 3312, 32, 42053, 1188, 27540, 2214, 203, 1070, 8361, 32, 15753, 1188, 13708, 30, 2361, 81, 9401, 203, 1070, 8361, 32, 2304, 1188, 14706, 81, 3607, 203, 1070, 9575, 32, 10983, 1188, 2164, 81, 7004, 30, 546, 6449, 2595, 6462, 203, 1070, 9575, 1188, 4070, 203, 1070, 9575, 32, 1040, 1188, 7842, 203, 1070, 9575, 32, 1040, 32, 14639, 681, 1188, 622, 81, 14639, 681, 203, 1070, 9575, 32, 1040, 1188, 2676, 81, 965, 81, 979, 30, 4125, 81, 965, 81, 979, 30, 438, 81, 1260, 81, 1357, 30, 13408, 698, 1180, 81, 965, 81, 979, 30, 18333, 15354, 30, 4125, 81, 104, 36, 81, 965, 203, 1070, 9575, 32, 2250, 1188, 8745, 619, 2074, 81, 2304, 203, 1270, 44, 284, 1188, 17281, 10065, 15525, 30924, 81, 25431, 280, 2933, 203, 7343, 29986, 44, 284, 15525, 30924, 81, 25431, 280, 3177, 203, 4386, 280, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 203, 823, 2108, 2205, 1562, 10262, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 665, 11638, 81, 1071, 2262, 324, 442, 2149, 291, 665, 11638, 81, 12324, 81, 2250, 81, 1071, 2262, 324, 442, 2149, 291, 665, 11638, 81, 12324, 81, 3959, 81, 1071, 2262, 324, 442, 2149, 291, 630, 32, 725, 280, 24014, 4064, 426, 8223, 291, 4125, 81, 5275, 280, 13708, 2009, 324, 3056, 1237, 33, 104, 35, 14617, 6320, 9159, 370, 324, 3056, 1237, 33, 104, 35, 14617, 6320, 9159, 2292, 14617, 33930, 48, 7404, 291, 2505, 330, 371, 370, 11638, 81, 1071, 30, 2361, 81, 9401, 27, 291, 2676, 81, 5275, 280, 13708, 2009, 324, 3056, 46, 6320, 9159, 370, 324, 3056, 46, 6320, 9159, 2292, 14617, 33930, 48, 7404, 291, 2505, 330, 371, 370, 11638, 81, 1071, 30, 546, 6449, 2595, 6462, 27, 291, 2676, 81, 12324, 81, 2250, 81, 5275, 280, 13708, 2009, 324, 3056, 2250, 14617, 6320, 9159, 370, 324, 3056, 2250, 14617, 6320, 9159, 1251, 14617, 33930, 9159, 370, 291, 2505, 330, 371, 370, 11638, 81, 12324, 81, 2250, 81, 1071, 30, 546, 6449, 2595, 6462, 27, 291, 2676, 81, 12324, 81, 3959, 81, 5275, 280, 13708, 2009, 324, 3056, 3959, 14617, 6320, 9159, 370, 291, 2505, 330, 371, 370, 11638, 81, 12324, 81, 3959, 81, 1071, 30, 546, 6449, 2595, 6462, 27, 291, 2164, 81, 7004, 26, 784, 32, 725, 30, 428, 1237, 81, 5275, 30, 2676, 81, 5275, 30, 2676, 81, 12324, 81, 2250, 81, 5275, 30, 2676, 81, 12324, 81, 3959, 81, 5275, 1130, 284, 665, 894, 81, 1237, 81, 965, 81, 979, 26, 784, 711, 291, 623, 630, 32, 725, 32, 858, 81, 1357, 81, 1819, 2262, 324, 1201, 4125, 81, 965, 81, 979, 463, 11215, 81, 1071, 370, 12497, 1057, 35, 36, 37, 683, 610, 3056, 1237, 33, 104, 35, 33, 35, 36, 37, 7404, 284, 665, 894, 81, 1237, 81, 104 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 1, 1, 3, 2, 2, 5, 5, 5, 4, 4, 1, 2, 2, 2, 2, 2, 6, 6, 6, 5, 5, 0, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 6, 6, 6, 5, 5, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 4, 4, 7, 7, 6, 6, 8, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 8, 10, 10, 8, 9, 9, 8, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 8, 10, 10, 8, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 8, 10, 10, 8, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 7, 7, 7, 6, 6, 8, 9, 9, 11, 11, 11, 11, 11, 9, 9, 8, 10, 10, 8, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 8, 4, 4, 7, 7, 7, 9, 8, 9, 7, 7, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 10, 11, 9, 10, 10, 10, 10, 10, 9, 5, 5, 7, 10, 10, 10, 10, 10, 12, 12, 12, 12, 10, 11, 13, 13, 13, 13, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 4, 4, 4, 4 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 5, 5, 0, 6, 6, 1, 2, 6, 6, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 0, 8, 8, 1, 2, 8, 8, 8, 8, 0, 0, 0, 9, 9, 1, 2, 9, 9, 0, 0, 0, 10, 10, 1, 2, 10, 10, 0, 0, 10, 10, 0, 0, 0, 0, 11, 11, 11, 11, 0, 12, 12, 1, 2, 12, 12, 0, 13, 13, 1, 2, 1, 4, 4, 13, 13, 0, 0, 0, 0, 14, 14, 1, 2, 14, 14, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 14, 14, 0, 14, 14, 0, 0, 0, 0, 0, 0, 15, 15, 1, 2, 15, 15, 3, 3, 2, 2, 0, 16, 16, 16, 16, 0, 2, 2, 0, 0, 0, 0, 0, 16, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 18, 18, 1, 1, 1, 2, 0, 1, 2, 2, 18, 18, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 1, 7, 7, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 5, 5, 5, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 5, 5, 5, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 7, 7, 7, 7, 7, 7, 3, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1 ]
[ 465, 5237, 203, 1070, 8527, 32, 1262, 32, 9331, 32, 1439, 1188, 3772, 2019, 203, 1070, 2417, 3378, 1188, 44056, 7754, 30, 30465, 30, 5412, 203, 823, 5718, 26, 1761, 2019, 711, 284, 3049, 280, 330, 3206, 436, 37051, 461, 25512, 299, 34533, 4122, 544, 30465, 25, 284, 665, 1015, 81, 8299, 26, 784, 30, 4118, 711, 291, 4118, 32, 669, 81, 2669, 26, 324, 330, 1141, 370, 324, 827, 47, 466, 30, 324, 16682, 11414, 809, 370, 330, 11200, 2188, 324, 3049, 1057, 1711, 372, 4818, 429, 5440, 556, 25512, 25, 291, 829, 291, 4118, 32, 669, 81, 2669, 26, 324, 6470, 93, 370, 324, 11363, 7317, 370, 324, 2125, 1057, 2157, 370, 324, 3466, 1057, 7317, 370, 324, 3049, 1057, 13099, 372, 793, 436, 17495, 44056, 24156, 101, 25, 291, 829, 284, 665, 2887, 26, 784, 30, 319, 1132, 30, 1115, 2184, 711, 291, 39451, 280, 629, 26, 2184, 710, 38974, 3490, 291, 11659, 280, 2075, 32, 371, 463, 7317, 683, 291, 2125, 280, 2075, 32, 371, 463, 1141, 683, 291, 415, 646, 11659, 44, 324, 1459, 463, 13099, 2793, 438, 2129, 683, 324, 5237, 32, 4775, 26, 35, 27, 291, 1596, 44, 324, 11659, 280, 30465, 32, 5740, 32, 371, 26, 1172, 47, 7317, 27, 291, 2940, 30465, 32, 34747, 44, 324, 1459, 463, 13099, 1957, 646, 2307, 683, 324, 5237, 32, 4775, 26, 35, 27, 291, 8528, 280, 5412, 32, 5740, 32, 2029, 26, 7255, 505, 266, 6020, 7317, 1130, 291, 18384, 81, 46092, 280, 44056, 7754, 32, 5740, 32, 2029, 26, 18354, 505, 1267, 505, 2250, 81, 314, 505, 266, 47, 7297, 27, 291, 2385, 280, 18384, 81, 46092, 32, 998, 346, 291, 415, 2385, 610, 225, 34, 44, 324, 1459, 463, 2023, 18384, 34533, 2431, 372, 19553, 1643, 26, 1141, 490, 324, 5237, 32, 4775, 26, 34, 27, 291, 415, 39451, 848, 225, 35, 44, 324, 630, 32, 9362, 32, 1821, 44805, 299, 2149, 34533, 2473, 1643, 26, 1141, 32, 34399, 1026, 2385, 490, 291, 19142, 280, 2125, 610, 330, 809, 25, 291, 18384, 81, 46092, 32, 1877, 26, 16073, 47, 16073, 27, 291, 630, 32, 9362, 32, 1821, 44805, 318, 2149, 34533, 2473, 1643, 26, 1141, 32, 34399, 1026, 2385, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 7, 7, 9, 9, 7, 7, 8, 9, 7, 7, 7, 8, 11, 11, 9, 11, 11, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 8, 8, 7, 7, 7, 9, 9, 7, 7, 9, 9, 7, 7, 8, 10, 10, 7, 7, 8, 10, 10, 7, 7, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 6, 6, 8, 10, 9, 11, 11, 4, 4, 6, 6, 8, 9, 8, 10, 10, 4, 4, 6, 6, 8, 9, 8, 10, 10, 4, 4, 5, 6, 5, 5, 5, 9, 11, 11, 11, 11, 11, 6, 6, 9, 10, 9, 10, 9, 4, 4, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 12, 11, 12, 10, 5, 5, 6, 7, 8, 6, 6, 6, 10, 12, 12, 12, 12, 12, 7, 7, 10, 11, 10, 11, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 9, 11, 10, 4, 4, 7, 7, 6, 6, 10, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 8, 4, 4, 6, 6, 9, 9, 8, 9, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 9, 13, 13, 13, 13, 13, 13, 12, 11, 12, 11, 6, 6, 9, 10, 9, 10, 9, 4, 4, 5, 6, 6, 7, 5, 5, 5, 10, 11, 9, 10, 9, 13, 13, 13, 13, 12, 11, 14, 13, 14, 13, 11, 11, 4, 4, 6, 6, 7, 7, 9, 9, 4, 4, 8, 8, 7, 8, 7, 9, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7, 11, 11, 11, 11, 10, 9, 12, 11, 12, 11, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 3, 3, 2, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 5, 1, 2, 2, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 5, 1, 2, 1, 1, 7, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 4, 4, 3, 1, 3, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 4, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 3, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 8, 1, 1, 2, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 4, 4, 9, 1, 1, 2, 9, 9, 9, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 894, 32, 858, 81, 3592, 1188, 1420, 81, 18986, 30, 1505, 81, 8144, 81, 731, 203, 465, 15798, 203, 465, 5237, 203, 1070, 5237, 1188, 319, 203, 823, 6512, 4470, 26, 18986, 32, 7233, 711, 284, 665, 894, 2495, 16227, 26, 784, 711, 291, 816, 280, 225, 35, 766, 291, 474, 225, 35, 291, 630, 32, 4983, 26, 106, 30, 225, 36, 30, 330, 29022, 436, 1628, 30728, 683, 291, 816, 280, 225, 34, 291, 630, 32, 4983, 26, 106, 30, 225, 34, 30, 330, 29022, 22206, 5093, 683, 284, 665, 894, 18727, 46308, 7983, 26, 784, 711, 291, 630, 32, 4983, 26, 34, 3126, 30, 225, 36, 39, 39, 27, 291, 630, 32, 4983, 26, 34, 37, 41, 41, 30, 225, 36, 39, 39, 27, 291, 630, 32, 4983, 26, 36, 35, 38, 41, 38, 42, 37, 40, 38, 41, 30, 225, 34, 35, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 27, 291, 630, 32, 23895, 26, 40672, 30, 9967, 30, 313, 34, 106, 657, 291, 645, 5237, 1188, 1769, 410, 291, 415, 1769, 410, 610, 225, 36, 35, 38, 41, 38, 42, 37, 40, 38, 41, 44, 324, 630, 32, 4983, 3736, 36, 35, 38, 41, 38, 42, 37, 40, 38, 41, 31, 35, 30, 429, 34, 36, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 27, 324, 630, 32, 862, 5908, 34, 37, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 848, 225, 34, 27, 324, 630, 32, 862, 5908, 34, 7465, 848, 225, 34, 27, 324, 436, 309, 328, 330, 36, 35, 38, 41, 38, 42, 37, 40, 38, 42, 370, 330, 34, 38, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 370, 330, 34, 106, 35, 34, 34, 34, 34, 34, 34, 34, 34, 950, 400, 1596, 44, 528, 816, 280, 9967, 26, 101, 27, 400, 2940, 35207, 924, 44, 528, 630, 32, 5066, 440, 9070, 924, 544, 23786, 4991, 10652, 904, 100, 20, 904, 309, 27, 291, 4348, 1769, 410, 610, 225, 43, 36, 36, 37, 37, 41, 36, 34, 37, 40, 42, 39, 38, 41, 41, 39, 42, 34, 41, 44, 324, 630, 32, 4983, 3736, 43, 36, 36, 37, 37, 41, 36, 34, 37, 40, 42, 39, 38, 41, 41, 39, 42, 34, 41, 31, 35, 30, 429, 34, 35, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 27, 324, 630, 32, 862, 5908, 34, 35, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 848, 225, 34, 27, 324, 630, 32, 862, 5908, 34, 7465, 20629, 848, 225, 34, 27, 324, 436, 309, 328, 330, 43, 36, 36, 37, 37, 41, 36, 34, 37, 40, 42, 39, 38, 41, 41, 39, 42, 34, 42, 370, 330, 34, 36, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 370, 766, 3486, 330, 34, 106, 35, 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, 2, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 7, 8, 7, 7, 8, 4, 4, 7, 8, 7, 8, 7, 7, 8, 7, 7, 9, 9, 9, 9, 9, 4, 4, 6, 6, 7, 4, 4, 7, 8, 7, 8, 7, 7, 8, 7, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 7, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 7, 9, 9, 9, 4, 4, 5, 5, 5, 7, 4, 4, 5, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 9, 10, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 6, 6, 9, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 11, 9, 6, 6, 9, 10, 10, 11, 11, 10, 10, 11, 9, 6, 6, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 12, 12, 14, 15, 14, 9, 9, 10, 11, 10, 10, 10, 14, 15, 14, 17, 17, 17, 17, 17, 17, 17, 17, 17, 15, 15, 14, 5, 5, 6, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 10, 11, 10, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 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, 10, 7, 7, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 12, 10, 7, 7, 10, 11, 11, 12, 12, 12, 11, 11, 12, 10, 7, 7, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11 ]
[ 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 3, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 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, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 4, 4, 0, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 0, 2, 2, 0, 0, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 1, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 1 ]
[ 21, 203, 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, 301, 284, 330, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 284, 330, 1517, 950, 2107, 8687, 2188, 284, 330, 7095, 81, 1170, 950, 330, 11863, 25, 203, 111, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 8508, 1396, 81, 17020, 81, 761, 81, 7428, 203, 4021, 81, 2310, 44, 11094, 4212, 328, 312, 42641, 21578, 16829, 2664, 2876, 3984, 203, 2310, 44, 284, 429, 7703, 372, 1933, 312, 803, 372, 312, 8551, 30, 5630, 312, 803, 645, 312, 8551, 461, 1487, 556, 3066, 312, 3362, 328, 322, 21578, 6642, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 39, 20, 203, 2116, 44, 334, 429, 1258, 1309, 833, 2600, 1565, 453, 350, 329, 11931, 466, 453, 350, 329, 27, 203, 8886, 44, 284, 429, 27859, 544, 354, 19579, 225, 40, 284, 429, 9287, 322, 1932, 2530, 8187, 8508, 81, 314, 438, 1654, 30, 4444, 415, 2017, 884, 4609, 8001, 203, 15965, 44, 284, 429, 313, 2958, 2377, 225, 36, 32, 40, 20, 284, 429, 4354, 14213, 18984, 284, 429, 5167, 203, 2184, 44, 284, 42919, 1403, 44, 291, 3048, 44, 324, 429, 886, 42919, 1403, 29395, 322, 3501, 6652, 32, 324, 429, 1670, 739, 30, 561, 1098, 3049, 372, 8227, 973, 3501, 6652, 3233, 32, 291, 827, 44, 596, 284, 4904, 44, 291, 3048, 44, 324, 429, 886, 4904, 29395, 322, 3501, 6652, 32, 324, 429, 1670, 739, 30, 561, 1098, 3049, 372, 8227, 973, 3501, 6652, 3233, 32, 291, 827, 44, 596, 284, 4844, 44, 291, 3048, 44, 324, 429, 27584, 4844, 30, 7976, 1519, 372, 2290, 600, 4905, 21578, 556, 1487, 322, 537, 21578, 32, 324, 429, 886, 4844, 1395, 2305, 322, 42919, 1403, 32, 15107, 74, 1182, 42919, 1403, 438, 14031, 31, 17508, 1403, 324, 429, 12781, 1755, 415, 390, 26, 3149, 81, 314, 81, 681, 27, 438, 390, 26, 12937, 81, 983, 547, 324, 429, 330, 17533, 6078, 324, 429, 330, 261, 4844, 44, 517, 4945, 31, 17508, 1403, 33, 3149, 25, 324, 429, 330, 261, 4844, 44, 14031, 31, 17508, 1403, 33, 3149, 25, 324, 429, 330, 261, 4844, 44, 517, 17508, 1403, 35, 33, 3149, 25, 324, 429, 330, 261, 4844, 44, 42919, 1403, 35, 33, 3149, 25, 324, 429, 330, 261, 4844, 44, 517, 17508, 1403, 35, 33, 3149, 33, 6175, 35, 25, 324, 429, 330, 261, 4844, 44, 42919, 1403, 35, 33, 3149, 33, 6175, 35, 25, 324, 429, 330, 261, 4844, 44, 517, 6175, 35, 33, 17508, 1403, 35, 33, 3149, 25, 324, 429, 330, 261, 4844, 44, 4844, 35, 33, 17508, 1403, 35, 33, 3149, 25, 324, 429, 330, 261, 4844, 44, 517, 6175, 35, 33, 17508, 1403, 35, 33, 3149, 33, 6175, 36, 25, 324, 429, 330, 261, 4844, 44, 8508, 33, 6175, 36, 25, 324, 429, 330, 261, 4844, 44, 4844, 36, 25, 291, 827, 44, 596, 284, 8508, 81, 314, 44, 291, 3048, 44, 324, 429 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18167, 85, 716, 32, 85, 495, 500, 15815, 32, 331, 612, 684, 101, 1188, 7687, 1176, 203, 1070, 18167, 85, 716, 32, 20254, 520, 6888, 934, 32, 7794, 1147, 1188, 17310, 1147, 203, 1070, 18167, 85, 716, 32, 85, 495, 500, 15815, 32, 1262, 8538, 1188, 45510, 1241, 203, 823, 12441, 888, 1147, 1176, 26, 16357, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 1334, 47, 36, 39, 39, 30, 1600, 81, 10513, 47, 2521, 30, 2129, 47, 2700, 711, 291, 2599, 26, 20488, 1147, 1176, 30, 630, 14585, 1664, 3207, 426, 30, 1334, 30, 2129, 27, 291, 630, 32, 426, 81, 599, 47, 13769, 1241, 291, 630, 32, 1495, 81, 10513, 47, 1495, 81, 10513, 284, 665, 1505, 26, 784, 30, 786, 711, 291, 786, 47, 7794, 1147, 26, 853, 27, 291, 415, 786, 10844, 950, 324, 415, 630, 32, 1160, 6901, 2521, 461, 630, 32, 1495, 81, 10513, 6901, 2521, 44, 400, 630, 32, 1160, 32, 1526, 77, 784, 32, 1495, 81, 10513, 7770, 784, 32, 1160, 32, 1526, 32, 371, 26, 784, 32, 1495, 81, 10513, 30, 9142, 400, 786, 47, 7794, 1147, 26, 784, 32, 1160, 32, 1526, 77, 784, 32, 1495, 81, 10513, 1130, 400, 415, 786, 10844, 950, 528, 630, 32, 731, 47, 1815, 528, 630, 32, 731, 81, 2760, 1057, 882, 438, 3502, 25, 528, 442, 4247, 291, 442, 786, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 6, 6, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 6, 8, 8, 8, 9, 8, 4, 4, 5, 6, 8, 5, 5, 7, 10, 11, 9, 10, 8, 8, 10, 11, 11, 11, 9, 10, 7, 7, 7, 13, 14, 12, 13, 11, 13, 12, 13, 13, 13, 11, 15, 14, 15, 13, 14, 12, 13, 12, 14, 13, 14, 14, 14, 12, 12, 8, 8, 10, 12, 12, 12, 16, 15, 16, 14, 15, 13, 15, 14, 15, 15, 15, 13, 8, 8, 9, 10, 12, 9, 9, 13, 14, 12, 13, 10, 10, 13, 14, 14, 14, 12, 14, 14, 14, 14, 10, 10, 11, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 2, 9, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 2, 2, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 3, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 3, 3, 2, 1, 1, 2, 2, 0, 2, 0, 2, 3, 3, 0, 2, 2, 2, 0, 1, 1, 1, 2, 3, 3, 2, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 42406, 203, 465, 2322, 203, 465, 5237, 203, 465, 5741, 203, 465, 5167, 30, 1003, 30, 268, 30, 3969, 761, 203, 1070, 14208, 38, 1188, 39231, 203, 5177, 81, 4530, 280, 5237, 32, 1648, 81, 1338, 77, 34, 79, 203, 325, 19430, 81, 4530, 610, 225, 36, 44, 284, 1188, 22045, 36, 203, 325, 19430, 81, 4530, 610, 225, 37, 44, 284, 1188, 22045, 32, 1357, 203, 589, 622, 81, 2888, 26, 761, 81, 983, 711, 284, 1491, 81, 891, 280, 225, 40, 38, 319, 225, 35, 34, 36, 38, 284, 623, 2156, 26, 761, 81, 983, 30, 330, 4506, 683, 619, 296, 44, 291, 706, 280, 296, 32, 850, 26, 850, 81, 891, 27, 291, 296, 32, 14408, 3736, 850, 81, 891, 30, 2322, 32, 49043, 81, 3285, 27, 291, 706, 1454, 296, 32, 850, 26, 850, 81, 891, 27, 284, 442, 42406, 32, 954, 39, 26, 605, 547, 6949, 13995, 346, 203, 589, 1361, 81, 47219, 26, 761, 81, 983, 711, 284, 1596, 44, 291, 3051, 30, 5016, 280, 2322, 32, 983, 32, 48271, 26, 761, 81, 983, 27, 291, 415, 5016, 646, 328, 428, 2296, 25389, 392, 4939, 317, 38, 392, 4939, 4765, 104, 392, 4939, 317, 89, 392, 4939, 17219, 392, 4939, 3471, 392, 4939, 3925, 392, 4939, 104, 906, 392, 4939, 105, 8391, 392, 4939, 1306, 104, 392, 4939, 37, 6813, 1461, 32, 37, 89, 36, 18270, 324, 442, 291, 415, 646, 2322, 32, 983, 32, 4658, 26, 2388, 474, 4939, 101, 2051, 10280, 324, 4826, 280, 5053, 1240, 31, 6143, 950, 330, 1721, 1996, 33, 35, 32, 34, 308, 15367, 31, 47219, 33, 35, 32, 34, 45, 1913, 555, 933, 32, 508, 33, 1588, 97, 24404, 92, 43, 36, 33, 15367, 31, 47219, 27, 6040, 324, 1984, 280, 313, 525, 555, 1237, 32, 1382, 1113, 1199, 32, 508, 8172, 1141, 47, 4984, 24, 2888, 347, 474, 622, 81, 2888, 26, 761, 81, 983, 27, 474, 14248, 4189, 47, 272, 20, 324, 415, 19430, 81, 4530, 610, 225, 37, 44, 400, 3616, 280, 22045, 32, 1357, 32, 1104, 26, 965, 30, 1665, 30, 4826, 27, 400, 1789, 280, 22045, 32, 1357, 32, 305, 33786, 26, 2403, 547, 850, 346, 324, 415, 19430, 81, 4530, 610, 225, 36, 44, 400, 3616, 280, 22045, 36, 32, 1104, 26, 965, 30, 2550, 4826, 27, 400, 1789, 280, 22045, 36, 32, 305, 33786, 26, 2403, 547, 850, 346, 324, 623, 2156, 26, 2388, 474, 4939, 101, 2051, 392, 313, 12108, 657, 619, 27775, 44, 400, 27775, 32, 1821, 26, 1986, 27, 400, 5741, 32, 1338, 440, 31806, 7504, 17236, 436, 313, 474, 803, 81, 983, 27, 284, 2940, 44, 291, 1361, 81, 47219, 36, 26, 761, 81, 983, 27, 203, 589, 1361, 81, 47219, 36, 26, 761, 81, 983, 711, 203, 202, 1270, 44, 357, 202, 2388, 30, 5016, 280, 2322, 32, 983, 32, 48271, 26, 761, 81, 983, 27, 357, 202, 325, 5016, 646, 328, 428, 2296, 25389, 392, 4939, 317, 38, 392, 4939, 4765, 104, 392, 4939, 317, 89, 392, 4939, 17219, 392, 4939, 3471, 392, 4939, 3925 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 3, 1, 3, 1, 3, 3, 0, 1, 1, 3, 1, 1, 0, 3, 3, 3, 2, 2, 4, 5, 5, 5, 3, 4, 3, 0, 1, 1, 3, 3, 2, 2, 3, 1, 1, 1, 3, 5, 0, 1, 1, 3, 3, 2, 2, 3, 1, 1, 1, 3, 4, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 5, 5, 6, 6, 6, 6, 2, 2, 3, 8, 9, 9, 9, 8, 8, 10, 10, 6, 6, 3, 3, 3, 6, 6, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 7, 9, 9, 9, 7, 7, 8, 9, 9, 9, 7, 4, 4, 6, 6, 8, 9, 8, 9, 9, 9, 8, 2, 2, 3, 7, 8, 8, 7, 8, 7, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 3, 3, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 6, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 4, 4, 5, 6, 9, 10, 8, 9, 8, 10, 9, 9, 11, 11, 11, 5, 5, 8, 8, 12, 12, 12, 12, 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, 6, 6, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 13, 13, 13, 12, 9, 9, 11, 11, 11, 11, 6, 6, 7, 9, 9, 8, 8, 9, 7, 7, 7, 10, 10, 13, 14, 12, 13, 12, 13, 12, 12, 12, 12, 12, 8, 8, 10, 10, 15, 16, 14, 15, 15, 14, 15, 14, 13, 12, 6, 6, 7, 9, 9, 8, 8, 9, 7, 7, 7, 10, 10, 13, 12, 13, 12, 13, 12, 12, 12, 12, 8, 8, 10, 10, 15, 14, 15, 15, 14, 15, 14, 13, 12, 6, 6, 7, 12, 14, 13, 13, 15, 15, 15, 12, 14, 14, 10, 10, 7, 7, 7, 11, 12, 11, 12, 11, 8, 8, 11, 12, 11, 14, 14, 14, 14, 14, 12, 12, 13, 13, 11, 3, 3, 4, 4, 4, 8, 8, 8, 8, 9, 9, 9, 8, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 3, 3, 3, 8, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 4, 4, 5, 5, 6, 6, 6, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 7, 7, 0, 0, 1, 1, 2, 7, 7, 7, 0, 0, 0, 8, 8, 0, 0, 1, 1, 2, 8, 8, 8, 0, 1, 2, 0, 9, 9, 1, 1, 2, 1, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 10, 10, 1, 1, 2, 1, 1, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 3, 3, 3, 0, 0, 1, 1, 2, 3, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 3, 3, 4, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 0, 11, 11, 1, 1, 1, 2, 1, 1, 1, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1 ]
[ 505, 2116, 505, 280, 2726, 3997, 13765, 50, 2175, 32, 508, 308, 64, 25631, 489, 13765, 19188, 203, 465, 31074, 203, 1070, 21375, 81, 43976, 1188, 484, 4072, 37454, 27165, 368, 350, 203, 1070, 21375, 81, 43976, 1188, 2404, 1040, 203, 1070, 21375, 81, 43976, 32, 4259, 8395, 1188, 9657, 27579, 203, 589, 3611, 57, 18011, 5504, 2227, 26, 1819, 711, 334, 415, 1619, 32, 681, 863, 484, 4072, 37454, 27165, 368, 350, 32, 24281, 934, 1222, 32, 10322, 44, 284, 442, 3177, 334, 415, 646, 617, 1622, 2447, 8208, 2227, 26, 1819, 711, 284, 442, 3177, 334, 2935, 280, 1619, 32, 2544, 334, 415, 2935, 461, 2935, 32, 681, 438, 484, 4072, 37454, 27165, 368, 350, 32, 24281, 934, 1222, 32, 9779, 44, 284, 2401, 81, 687, 81, 1956, 280, 2935, 32, 1366, 81, 1956, 32, 4519, 32, 2135, 81, 687, 284, 415, 308, 2135, 81, 687, 81, 1956, 461, 291, 2401, 81, 687, 81, 1956, 32, 681, 438, 9657, 27579, 32, 26626, 461, 291, 2401, 81, 687, 81, 1956, 32, 800, 610, 330, 25745, 32, 3473, 7831, 397, 442, 2933, 334, 442, 3177, 203, 589, 617, 1622, 2447, 8208, 2227, 26, 1521, 81, 1819, 711, 334, 4552, 81, 687, 81, 8395, 81, 1731, 280, 31074, 32, 325, 1100, 26, 397, 9254, 2404, 44, 2404, 646, 328, 9657, 27579, 32, 10007, 81, 3521, 81, 15630, 30, 397, 29390, 26, 1521, 81, 1819, 32, 1366, 81, 1956, 490, 334, 2354, 26, 8884, 81, 687, 81, 8395, 81, 1731, 30, 1665, 27, 334, 4552, 81, 687, 81, 8395, 280, 1149, 26, 1731, 4280, 32, 297, 3428, 26, 8884, 81, 687, 81, 8395, 81, 1731, 30, 225, 37, 490, 334, 4552, 81, 687, 81, 8395, 32, 9833, 346, 334, 415, 2069, 26, 8884, 81, 687, 81, 8395, 27, 438, 646, 225, 37, 44, 284, 442, 3177, 334, 4552, 81, 687, 81, 1956, 81, 2516, 280, 428, 1956, 32, 681, 436, 2404, 328, 4552, 81, 687, 81, 8395, 79, 334, 415, 308, 8884, 81, 687, 81, 1956, 81, 2516, 610, 428, 397, 9657, 27579, 32, 9842, 81, 7549, 783, 2893, 30, 397, 9657, 27579, 32, 7383, 81, 34004, 30, 397, 9657, 27579, 32, 3285, 81, 34004, 10794, 284, 442, 2933, 334, 442, 3177, 203, 589, 3611, 383, 11166, 8841, 1191, 5916, 26, 7010, 30, 7375, 8841, 1191, 81, 21043, 711, 334, 436, 8752, 328, 7375, 8841, 1191, 81, 21043, 44, 284, 415, 6977, 32, 15990, 26, 2425, 474, 5608, 7831, 397, 442, 2933, 334, 442, 3177, 203, 589, 12253, 7886, 26, 1819, 711, 334, 415, 1619, 32, 681, 863, 484, 4072, 37454, 27165, 368, 350, 32, 24281, 934, 1222, 32, 6103, 3480, 44, 284, 442, 334, 415, 1619, 32, 1366, 81, 1956, 461, 1619, 32, 416, 81, 1956, 44, 284, 7603, 81, 8395, 280, 2404, 1040, 32, 35620, 3198, 26, 1819, 32, 1366, 81, 1956, 30, 16329, 1619, 32, 416, 81, 1956, 27, 334, 813, 44, 284, 442, 334, 438, 81, 3780, 81, 687, 81, 681, 280, 9254, 273, 44, 273, 32, 681, 646, 328, 9657, 27579, 32, 10007, 81, 3521, 81, 15630, 334, 1340 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 4, 4, 7, 7, 7, 7, 7, 6, 7, 7, 7, 5, 6, 3, 3, 3, 5, 2, 2, 3, 4, 6, 6, 6, 6, 6, 7, 6, 3, 3, 5, 2, 2, 4, 4, 5, 6, 2, 2, 3, 4, 4, 6, 7, 5, 5, 8, 8, 8, 8, 8, 7, 8, 8, 8, 6, 7, 3, 3, 3, 7, 7, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 7, 8, 8, 8, 4, 4, 5, 9, 9, 9, 9, 9, 8, 8, 8, 11, 11, 11, 11, 10, 11, 9, 9, 11, 10, 11, 7, 7, 7, 10, 10, 10, 10, 9, 10, 8, 8, 10, 10, 10, 10, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 6, 7, 7, 6, 6, 6, 7, 7, 7, 8, 8, 8, 10, 9, 10, 10, 10, 10, 10, 6, 6, 6, 8, 10, 10, 10, 9, 10, 10, 10, 8, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 9, 9, 8, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 8, 2, 2, 6, 6, 6, 6, 5, 6, 5, 2, 2, 3, 6, 7, 7, 7, 7, 7, 6, 4, 4, 4, 5, 3, 3, 3, 5, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 7, 6, 7, 5, 6, 6, 6, 7, 7, 7, 7, 5, 2, 2, 3, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 8, 7, 8, 8, 8, 8, 8, 6, 6, 6, 8, 7, 8, 8, 8, 6, 6, 6, 8, 7, 8, 8, 8, 6, 3, 3, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 5, 7, 8, 7, 9, 8, 8, 10, 5, 5, 7, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 5, 6, 4, 4, 7, 7, 7, 7, 7, 6, 7, 7, 7, 5, 6, 6, 3, 3, 3, 2, 2, 3, 5, 6, 6, 6, 4, 4, 5, 6, 6, 6, 3, 3, 3, 7, 7, 6, 6, 9, 8, 9, 9, 8, 10, 9, 10, 10, 10, 8, 8, 8, 9, 10, 10, 10, 8, 3, 3, 4, 4, 4, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 7, 8, 6, 6, 6, 8, 7, 8, 8, 8, 8, 8, 2, 2 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 2, 4, 4, 0, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 4, 4, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 2, 2, 4, 4, 3, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 4, 4, 4, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 4, 4, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 2, 2, 2, 2, 2, 2, 0, 5, 2, 2, 2, 2, 6, 6, 0, 4, 4, 7, 0, 7, 7, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 7, 7, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 4, 4, 1, 0, 8, 8, 1, 2, 1, 2, 8, 8, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 4, 4 ]
[ 1070, 6436, 1188, 1417, 30, 34593, 30, 27224, 30, 4011, 30, 17463, 203, 1070, 1663, 90, 8392, 32, 380, 13863, 32, 955, 81, 605, 81, 1855, 1188, 2629, 8615, 203, 1070, 1663, 90, 8392, 32, 380, 13863, 32, 605, 81, 3585, 81, 35, 86, 1188, 2398, 3198, 35, 54, 203, 1070, 638, 33839, 81, 13474, 1188, 35142, 5631, 203, 1070, 638, 33839, 81, 928, 81, 9401, 1188, 35142, 1811, 6462, 203, 589, 1487, 81, 33839, 81, 3399, 26, 605, 30, 14103, 1057, 90, 370, 1963, 1057, 7021, 370, 1861, 47, 35, 32, 34, 30, 2855, 27441, 347, 12853, 392, 5102, 347, 4260, 392, 786, 81, 13474, 81, 823, 47, 6356, 450, 5631, 711, 284, 415, 308, 681, 26, 605, 27, 863, 34593, 27, 461, 308, 1657, 26, 605, 27, 610, 225, 36, 711, 291, 706, 280, 27224, 26, 955, 26, 605, 490, 284, 18754, 101, 30, 2078, 280, 27224, 26, 605, 27, 284, 1650, 81, 605, 280, 4011, 26, 2810, 27, 284, 786, 81, 605, 280, 17463, 26, 2810, 27, 284, 1650, 280, 2629, 8615, 26, 1055, 81, 605, 30, 3844, 81, 1174, 1057, 45195, 683, 284, 786, 280, 2629, 8615, 26, 853, 81, 605, 27, 284, 1650, 81, 3585, 280, 2398, 3198, 35, 54, 346, 284, 1650, 81, 3585, 32, 669, 26, 1055, 27, 284, 1650, 81, 13474, 280, 35142, 5631, 26, 3585, 47, 1055, 81, 3585, 27, 284, 786, 81, 3585, 280, 2398, 3198, 35, 54, 346, 284, 786, 81, 3585, 32, 669, 26, 853, 27, 284, 786, 81, 13474, 280, 786, 81, 13474, 81, 823, 26, 3585, 47, 853, 81, 3585, 27, 284, 6867, 280, 35142, 1811, 6462, 26, 1055, 47, 1055, 30, 786, 47, 853, 30, 6035, 1650, 81, 13474, 280, 1650, 81, 13474, 30, 6035, 786, 81, 13474, 280, 786, 81, 13474, 30, 6035, 14103, 280, 14103, 30, 6035, 1963, 280, 1963, 30, 6035, 1628, 81, 1644, 280, 1861, 30, 6035, 1628, 81, 1621, 280, 27441, 30, 6035, 5102, 81, 1621, 280, 5102, 27, 284, 442, 6867, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 0, 1, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 5, 5, 2, 3, 5, 5, 2, 3, 4, 4, 4, 2, 2, 2, 3, 5, 5, 2, 3, 5, 5, 2, 4, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 3, 8, 8, 9, 8, 6, 6, 5, 4, 4, 8, 8, 9, 8, 6, 6, 7, 5, 3, 3, 6, 6, 8, 10, 10, 11, 10, 2, 2, 6, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 6, 2, 2, 4, 4, 6, 6, 7, 7, 7, 6, 6, 8, 8, 7, 9, 9, 2, 2, 4, 4, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 6, 6, 5, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 6, 6, 5, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 8, 7, 8, 8, 8, 6, 2, 2, 4, 4, 6, 6, 6, 8, 7, 8, 6, 6, 7, 8, 6, 6, 6, 8, 8, 7, 7, 8, 8, 6, 6, 6, 8, 8, 7, 7, 8, 8, 6, 6, 6, 7, 7, 6, 6, 6, 7, 7, 6, 6, 6, 8, 8, 7, 7, 6, 6, 6, 8, 8, 7, 7, 6, 6, 6, 8, 8, 7, 7, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 4, 4, 4, 4, 4, 4, 2, 2, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 5, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 5, 1, 2, 2, 7, 2, 2, 2, 2, 2, 2, 9, 1, 2, 2, 11, 1, 2, 2, 0, 0, 0, 0, 13, 2, 2, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 3, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 0, 5, 5, 2, 2, 1, 1, 1, 0, 0, 7, 7, 2, 2, 1, 1, 1, 9, 9, 1, 1, 1, 11, 11, 1, 1, 1, 0, 0, 13, 13, 1, 1, 1, 0, 0, 15, 15, 1, 1, 1, 0, 0, 17, 17, 1, 4, 4, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 14208, 38, 1188, 39231, 619, 14208, 203, 1070, 7138, 1188, 2340, 30, 30784, 30, 7138, 203, 465, 316, 203, 1070, 309, 836, 101, 32, 1580, 1188, 5675, 203, 1070, 4377, 3378, 1188, 9298, 203, 823, 2764, 311, 716, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 1580, 280, 5675, 26, 965, 1057, 525, 555, 1499, 32, 508, 311, 716, 32, 307, 33, 21720, 2122, 32, 1317, 49, 39267, 683, 291, 630, 32, 16003, 280, 2340, 32, 16003, 346, 284, 665, 622, 81, 3840, 81, 4415, 26, 784, 30, 4362, 314, 30, 645, 81, 770, 47, 2521, 711, 291, 415, 645, 81, 770, 44, 324, 29085, 280, 1149, 346, 324, 5258, 81, 770, 280, 7138, 32, 44832, 26, 1070, 81, 770, 30, 6611, 75, 9299, 95, 9299, 86, 1814, 770, 346, 324, 2218, 5258, 81, 770, 2511, 630, 32, 16003, 44, 400, 7661, 280, 630, 32, 1580, 32, 2122, 32, 371, 7345, 26, 3840, 314, 47, 3840, 314, 30, 2340, 47, 5837, 81, 770, 27, 400, 29085, 32, 1689, 2009, 5837, 81, 770, 30, 7661, 1130, 400, 5258, 81, 770, 280, 5258, 81, 770, 474, 30784, 26, 6124, 47, 35, 27, 291, 813, 44, 324, 7661, 280, 630, 32, 1580, 32, 2122, 32, 371, 7345, 26, 3840, 314, 47, 3840, 314, 30, 2340, 47, 784, 32, 16003, 27, 324, 29085, 280, 428, 784, 32, 16003, 30, 7661, 79, 291, 442, 29085, 284, 665, 622, 81, 27461, 101, 26, 784, 711, 291, 41620, 101, 81, 508, 311, 716, 280, 630, 32, 1580, 32, 2122, 32, 371, 27461, 101, 346, 291, 41620, 101, 280, 1149, 346, 291, 436, 41620, 328, 41620, 101, 81, 508, 311, 716, 44, 324, 41620, 81, 314, 280, 41620, 32, 314, 77, 34, 79, 324, 41620, 81, 426, 280, 41620, 32, 426, 77, 34, 997, 4434, 463, 3310, 31, 42, 683, 324, 41620, 101, 32, 1689, 2009, 27461, 81, 314, 30, 41620, 81, 426, 1130, 291, 442, 41620, 101, 284, 665, 622, 81, 14297, 1170, 27461, 314, 26, 784, 30, 41620, 81, 314, 47, 2521, 711, 291, 14468, 81, 508, 311, 716, 30, 14468, 81, 668, 280, 1149, 1026, 1149, 346, 291, 415, 646, 41620, 81, 314, 44, 324, 41620, 101, 280, 630, 32, 371, 81, 27461, 101, 346, 324, 436, 41620, 328, 41620, 101, 44, 400, 41620, 81, 314, 30, 41620, 426, 280, 41620, 400, 14468, 81, 508, 311, 716, 32, 1689, 26, 784, 32, 1580, 32, 2122, 32, 371, 14297, 1170, 27461, 314, 26, 27461, 81, 314, 490, 291, 813, 44, 324, 14468, 81, 508, 311, 716, 32, 1689, 26, 784, 32, 1580, 32, 2122, 32, 371, 14297, 1170, 27461, 314, 26, 27461, 81, 314, 490, 291, 436, 41620, 81, 14297, 328, 14468, 81, 508, 311, 716, 44, 324, 436, 4362, 328, 41620, 81, 14297, 44, 400, 14468, 81, 668, 32, 1689, 2009, 528, 4362, 32, 314, 77, 34, 614, 528, 4362, 32, 426, 77, 34, 997, 4434, 463, 3310, 31, 42, 1814, 7201, 1026, 528, 4362, 32, 3953, 77, 34, 614, 528, 4362, 32, 27461, 314, 77, 34, 614, 528, 4362, 32, 7345, 77 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 4, 4, 7, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 10, 6, 6, 9, 9, 8, 8, 12, 13, 12, 13, 13, 13, 12, 12, 14, 14, 14, 14, 14, 14, 11, 10, 6, 6, 7, 9, 9, 8, 8, 9, 10, 7, 7, 7, 10, 10, 14, 15, 13, 14, 12, 13, 13, 12, 14, 14, 13, 14, 14, 12, 12, 13, 14, 14, 14, 12, 8, 8, 11, 12, 11, 13, 13, 13, 12, 12, 12, 8, 8, 11, 11, 10, 10, 12, 12, 11, 11, 13, 15, 14, 15, 13, 5, 5, 6, 6, 6, 9, 9, 13, 14, 12, 13, 11, 12, 12, 11, 13, 13, 12, 13, 13, 11, 11, 12, 14, 13, 14, 11, 7, 7, 9, 9, 12, 11, 12, 10, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 6, 6, 10, 11, 9, 10, 8, 9, 9, 9, 8, 4, 4, 7, 6, 6, 8, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 5, 5, 9, 9, 8, 8, 10, 11, 9, 10, 9, 6, 6, 9, 9, 8, 8, 12, 13, 11, 12, 11, 11, 10, 12, 12, 12, 12, 6, 6, 10, 9, 10, 9, 11, 11, 11, 10, 10, 11, 11, 10, 4, 4, 5, 6, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 8, 8, 8, 8, 7, 7, 8, 8, 6, 6, 9, 7, 9, 4, 4, 5, 6, 7, 7, 5, 5, 5, 9, 8, 8, 10, 11, 11, 11, 11, 10, 6, 6, 7, 7, 7, 8, 7, 7, 7, 12, 12, 11, 11, 12, 10, 10, 8, 8, 12, 12, 12, 12, 11, 12, 11, 16, 15, 16, 14, 15, 13, 14, 14, 14, 14, 14, 13, 14, 14, 14, 13, 5, 5, 6, 6, 6, 11, 11, 11, 11, 10, 11, 10, 15, 14, 15, 13, 14, 12, 13, 13, 13, 13, 13, 12, 13, 13, 13, 12, 4, 4, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 5, 5, 7, 7, 7, 8, 8, 7, 7, 7, 12, 12, 11, 12, 11, 12, 12, 14, 15, 13, 14, 13, 12, 12, 18, 19, 17, 18, 17, 17, 16, 18, 18, 18, 18, 15, 14, 12, 12, 14, 15, 13, 14, 13, 12, 12, 14, 15, 15, 13, 14, 13, 12, 12, 14, 15, 13 ]
[ 0, 0, 0, 0, 0, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 2, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 1, 1, 5, 5, 5, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 0, 5, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 3, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 4, 4, 1, 3, 3, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 4, 4, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 3, 1, 3, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 5, 5, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 5, 2, 5, 1, 1, 0, 2, 2, 7, 2, 7, 1, 1, 0, 2, 9 ]
[ 109, 284, 330, 426, 950, 330, 14996, 28729, 101, 370, 284, 330, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 3153, 950, 330, 14837, 13136, 370, 284, 330, 2310, 950, 1524, 203, 6668, 101, 844, 372, 1015, 18198, 4438, 328, 25943, 17588, 461, 42410, 32, 203, 13643, 18487, 203, 4282, 883, 5597, 1370, 4369, 42983, 461, 18198, 47931, 436, 29085, 32, 5076, 6892, 225, 203, 41429, 645, 42410, 30, 3927, 527, 66, 438, 5300, 372, 1015, 461, 7596, 322, 28742, 1628, 32, 203, 37616, 284, 330, 2116, 950, 330, 2961, 527, 66, 19217, 370, 284, 330, 27263, 950, 2107, 16842, 81, 9729, 2188, 284, 330, 605, 950, 428, 291, 330, 4373, 33, 476, 32, 1160, 32, 3560, 32, 4700, 370, 291, 330, 15480, 81, 1071, 32, 2593, 370, 291, 330, 15699, 81, 1071, 32, 2593, 370, 291, 330, 15480, 81, 605, 32, 2593, 370, 291, 330, 4338, 33, 3734, 81, 17220, 32, 2593, 370, 284, 2505, 284, 330, 6380, 950, 2107, 15480, 81, 6380, 32, 2593, 2188, 284, 330, 858, 950, 2107, 858, 33, 15480, 81, 8030, 32, 7070, 2188, 284, 330, 3789, 444, 950, 2933, 30, 284, 330, 2837, 81, 3789, 950, 3177, 30, 284, 330, 2242, 950, 2107, 2242, 33, 35, 81, 15480, 81, 1959, 32, 10561, 1195, 2242, 33, 36, 81, 15480, 81, 777, 295, 29357, 32, 10561, 2188, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 2, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 6, 6, 2, 2, 5, 5, 3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 3, 2, 2, 2, 5, 5, 5, 5, 3, 2, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 1, 1, 2, 0, 0, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 9, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 1, 1, 1, 2, 0, 0, 1, 2, 13, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 15, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 19, 0, 0, 0, 1, 1, 1, 2, 21, 0, 0, 0, 1, 2, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 13625, 1188, 31466, 203, 465, 31074, 203, 465, 5741, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 1070, 420, 25361, 1188, 14735, 203, 1070, 420, 25361, 32, 2304, 32, 19118, 1191, 1188, 31436, 261, 203, 1070, 2156, 3034, 81, 7854, 32, 1237, 1188, 1695, 203, 1070, 2156, 3034, 81, 7854, 32, 1237, 1188, 281, 15130, 203, 1070, 2156, 3034, 81, 7854, 32, 1237, 1188, 3984, 203, 1070, 2156, 3034, 81, 7854, 32, 1237, 1188, 1168, 33367, 203, 1070, 2156, 3034, 81, 7854, 32, 1237, 1188, 34856, 203, 1070, 2156, 3034, 81, 7854, 1188, 7231, 203, 3602, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 2576, 8810, 81, 24658, 51, 81, 29054, 280, 2884, 4519, 81, 3028, 392, 3486, 313, 7391, 392, 3486, 313, 12182, 392, 3486, 313, 10281, 318, 81, 2536, 392, 3486, 313, 10281, 318, 81, 761, 81, 1286, 81, 3651, 392, 3486, 313, 4325, 392, 3486, 313, 20707, 81, 9510, 392, 3486, 313, 8638, 81, 9510, 392, 3486, 313, 4373, 81, 6332, 392, 3486, 313, 4373, 81, 1363, 81, 7004, 392, 27, 203, 26636, 81, 24658, 51, 81, 29054, 280, 2884, 678, 81, 16564, 392, 715, 313, 10281, 318, 81, 761, 81, 983, 81, 3651, 392, 27, 203, 53, 3324, 527, 81, 24658, 51, 81, 29054, 280, 2884, 27611, 392, 5556, 313, 33276, 392, 5556, 313, 89, 365, 17156, 1592, 392, 27, 203, 3567, 1068, 32844, 81, 24658, 51, 81, 29054, 280, 2884, 4573, 392, 715, 313, 19838, 392, 715, 313, 625, 392, 715, 313, 5785, 392, 715, 313, 20707, 639, 392, 715, 313, 4373, 81, 1363, 392, 715, 313, 4373, 81, 1363, 81, 5275, 392, 715, 829, 203, 24658, 51, 81, 29054, 280, 4435, 8810, 81, 24658, 51, 81, 29054, 474, 390, 3324, 527, 81, 24658, 51, 81, 29054, 474, 8934, 1068, 32844, 81, 24658, 51, 81, 29054, 203, 24658, 51, 81, 8356, 280, 301, 284, 313, 4519, 81, 3028, 563, 30121, 4097, 18902, 1425, 284, 313, 7391, 563, 30121, 72, 2955, 2337, 1425, 284, 313, 12182, 563, 30121, 8354, 1425, 284, 313, 10281, 318, 81, 2536, 563, 30121, 8826, 318, 11094, 1425, 284, 313, 10281, 318, 81, 761, 81, 1286, 81, 3651, 563, 30121, 8826, 318, 2032, 6256, 18394, 1425, 284, 313, 4325, 563, 30121, 15730, 308, 3347, 27, 1425, 284, 313, 20707, 81, 9510, 563, 30121, 23525, 4600, 101, 1425, 284, 313, 8638, 81, 9510, 563, 30121, 8222, 4600, 101, 1425, 284, 313, 4373, 81, 6332, 563, 30121, 5188, 28585, 1425, 284, 313, 4373, 81, 1363, 81, 7004, 563, 30121, 5188, 7051, 27988, 1425, 284, 313, 678, 81, 16564, 563, 30121, 953, 16588, 101, 1425, 284, 313, 10281, 318, 81, 761, 81, 983, 81, 3651, 563, 30121, 8826, 318, 2032, 5380, 18394, 1425, 284, 313, 27611, 563, 30121, 31221, 1425, 284, 313, 33276, 563, 30121, 6795, 25282, 101, 1425, 284, 313, 89, 365, 17156, 1592, 563, 30121, 4754, 8660, 432, 18680, 101, 461, 25282, 101, 308, 3924, 27, 1425, 284, 313, 4573, 563, 26155, 32549, 2113, 284, 313, 19838, 563, 26155, 20319, 101, 2113, 284, 313, 625, 563, 26155 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 0, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 4, 8, 8, 3, 3, 6, 6, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 4, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 4, 8, 8, 3, 3, 6, 6, 4, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 4, 8, 8, 3, 3, 6, 6, 4, 8, 8, 8, 3, 3, 6, 6, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 1, 2, 1, 4, 4, 5, 5, 0, 0, 6, 6, 0, 0, 0, 1, 2, 6, 6, 0, 7, 7, 0, 0, 0, 1, 2, 7, 7, 0, 0, 8, 8, 0, 0, 0, 1, 2, 8, 8, 0, 9, 9, 0, 0, 0, 1, 2, 9, 9, 0, 0, 10, 10, 0, 0, 0, 1, 2, 10, 10, 0, 11, 11, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 2, 5, 1, 2, 2, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 11, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 15, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 17, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 19, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 21, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 23, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 25, 1, 2, 2, 2, 1, 2, 27, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 29, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 31, 1, 2, 2, 2, 1, 2, 33, 1, 1, 2, 2, 2, 1, 2, 35 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 2322, 30, 2322, 32, 983, 30, 3995, 30, 316, 30, 22977, 30, 6314, 30, 5237, 30, 29590, 203, 1270, 44, 284, 1188, 15798, 36, 619, 15798, 203, 7343, 29986, 44, 284, 1188, 15798, 203, 1070, 638, 21752, 1188, 44524, 30, 372, 81, 3651, 30, 323, 203, 1070, 638, 26723, 725, 1188, 390, 817, 30, 390, 817, 2031, 30, 390, 817, 4815, 203, 1070, 638, 26723, 725, 1188, 390, 817, 924, 30, 390, 817, 6772, 924, 30, 390, 817, 6533, 924, 203, 1070, 638, 26723, 725, 1188, 6886, 30, 1156, 1648, 505, 203, 1070, 638, 4894, 2304, 1188, 316, 9378, 2227, 203, 1070, 638, 2682, 2536, 1188, 319, 203, 7233, 280, 15798, 32, 7233, 203, 823, 390, 817, 4470, 35500, 26, 7233, 711, 284, 665, 894, 2023, 53, 817, 26, 784, 711, 291, 5852, 280, 428, 324, 2550, 324, 330, 5769, 324, 330, 766, 102, 766, 102, 766, 1483, 370, 324, 330, 7656, 370, 324, 330, 1382, 10501, 78, 41299, 322, 78, 96, 8707, 6418, 324, 330, 58, 373, 267, 78, 96, 78, 102, 1331, 4177, 399, 78, 96, 78, 102, 78, 102, 27868, 25, 324, 1481, 291, 436, 309, 328, 5852, 44, 324, 630, 32, 5299, 26, 53, 817, 922, 2416, 652, 26, 101, 471, 309, 27, 284, 665, 894, 5291, 26, 784, 711, 291, 44705, 280, 1524, 78, 324, 4185, 1344, 32, 324, 434, 9532, 77, 26723, 324, 1188, 281, 817, 324, 281, 817, 32, 541, 94, 440, 2272, 438, 1628, 1591, 1736, 96, 657, 324, 281, 817, 32, 541, 94, 440, 2272, 438, 1628, 3134, 657, 324, 434, 37843, 324, 485, 906, 5862, 7273, 1154, 32, 324, 434, 9532, 77, 416, 37843, 324, 484, 1295, 46254, 32, 324, 1524, 291, 28388, 280, 1524, 78, 324, 4185, 1344, 32, 324, 434, 9532, 77, 26723, 324, 1188, 281, 817, 324, 281, 817, 32, 541, 94, 440, 2272, 438, 1628, 1591, 1736, 96, 657, 324, 281, 817, 32, 541, 94, 440, 2272, 438, 1628, 3134, 657, 324, 434, 37843, 324, 1348, 438, 1628, 1591, 324, 1348, 438, 1628, 3134, 324, 434, 9532, 77, 416, 37843, 324, 484, 1295, 46254, 32, 324, 1524, 291, 630, 32, 5299, 26, 53, 817, 922, 2416, 652, 26, 35380, 471, 28388, 27, 284, 665, 894, 2766, 53, 817, 26, 784, 711, 291, 44705, 280, 1524, 78, 324, 17964, 324, 434, 9532, 77, 26723, 324, 434, 37843, 324, 434, 9532, 77, 416, 37843, 324, 4644, 30327, 324, 1524, 291, 44705, 280, 316, 9378, 2227, 26, 35380, 27, 291, 630, 32, 5299, 26, 53, 817, 922, 2416, 652, 26, 35380, 471, 44705, 27, 284, 665, 894, 11726, 53, 817, 101, 26, 784, 711, 291, 44705, 280, 1524, 78, 324, 434, 9532, 77, 26723, 324, 281, 817, 32, 541, 440, 7190, 35, 657, 324, 434, 37843, 324, 7311, 35, 324, 434, 9532, 77, 416, 37843, 324, 434, 9532, 77, 26723, 324, 281, 817, 32, 541, 440, 7190, 36, 657, 324, 434, 37843, 324, 7311, 36, 324, 434, 9532, 77, 416, 37843, 324, 3733, 18605, 324, 434, 9532, 77, 26723, 324, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 1, 0, 1, 1, 4, 4, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 3, 0, 1, 1, 4, 4, 1, 1, 0, 3, 2, 2, 3, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 7, 7, 7, 9, 7, 7, 9, 10, 9, 10, 9, 10, 9, 7, 7, 9, 9, 7, 7, 9, 9, 10, 10, 9, 10, 10, 9, 9, 7, 7, 9, 9, 9, 10, 10, 10, 10, 9, 9, 9, 10, 10, 10, 10, 10, 10, 9, 9, 7, 7, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 9, 13, 13, 13, 12, 12, 11, 12, 11, 9, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 8, 7, 11, 11, 11, 10, 10, 9, 10, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 8, 7, 11, 11, 11, 10, 10, 9, 10, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 2, 2, 0, 10, 10, 1, 1, 1, 2, 1, 2, 10, 10, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 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, 4, 4, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 7138, 1188, 30784, 203, 465, 5741, 203, 465, 20536, 103, 3291, 619, 3920, 203, 1070, 6765, 17594, 32, 4554, 1188, 5111, 81, 31667, 203, 1070, 6765, 17594, 32, 8774, 32, 2225, 81, 2292, 1188, 7264, 1722, 203, 1070, 6765, 17594, 32, 8774, 32, 2225, 1188, 25185, 2216, 203, 1070, 6765, 17594, 32, 8774, 32, 1163, 81, 6460, 1188, 308, 10065, 48923, 81, 20740, 30, 284, 48923, 81, 20740, 81, 6177, 30, 203, 27, 203, 1070, 6765, 17594, 32, 913, 1188, 308, 284, 14558, 81, 567, 30, 284, 32465, 81, 70, 7811, 81, 567, 30, 284, 32465, 81, 70, 7811, 81, 6664, 30, 284, 32465, 81, 1407, 38843, 30, 203, 27, 203, 1070, 6765, 17594, 32, 3527, 1188, 2350, 203, 16799, 280, 313, 4640, 20, 203, 21940, 81, 22812, 280, 30784, 26, 6360, 47, 37, 34, 27, 203, 9779, 81, 2474, 81, 2320, 81, 33124, 940, 280, 313, 464, 34789, 20, 203, 18783, 81, 779, 81, 2320, 81, 33124, 940, 280, 2350, 32, 18783, 81, 779, 81, 9302, 32, 1643, 440, 464, 81, 1586, 21073, 657, 203, 18783, 81, 779, 81, 9302, 280, 4085, 10383, 474, 4939, 2537, 20, 203, 11486, 81, 1407, 14318, 81, 16021, 15052, 81, 61, 11990, 280, 313, 16003, 81, 8870, 81, 93, 1354, 20, 203, 11486, 81, 13926, 81, 21359, 81, 73, 280, 313, 1700, 81, 7370, 81, 105, 20, 203, 4683, 81, 4804, 81, 52, 36391, 81, 21940, 69, 280, 30784, 26, 6360, 47, 35, 34, 27, 203, 15262, 81, 1407, 81, 11486, 280, 301, 284, 313, 1700, 81, 7370, 81, 105, 563, 38604, 81, 13926, 81, 21359, 81, 73, 30, 284, 313, 16003, 81, 8870, 81, 93, 1354, 563, 38604, 81, 1407, 14318, 81, 16021, 15052, 81, 61, 11990, 30, 203, 111, 203, 10539, 81, 7420, 81, 4241, 14127, 280, 313, 541, 730, 20, 203, 10539, 81, 7420, 81, 33124, 280, 313, 4640, 20, 203, 10539, 81, 36850, 280, 428, 10539, 81, 7420, 81, 4241, 14127, 30, 34062, 81, 7420, 81, 33124, 79, 203, 10539, 81, 36850, 81, 20740, 280, 3920, 32, 1934, 26, 3060, 32, 6724, 30, 3920, 32, 383, 26, 10539, 81, 36850, 490, 203, 81, 22228, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 50, 2539, 81, 31667, 203, 589, 438, 81, 267, 26, 31667, 30, 4422, 81, 314, 47, 2521, 711, 284, 4422, 81, 314, 280, 4422, 81, 314, 556, 39969, 2917, 81, 779, 81, 2320, 81, 33124, 940, 284, 442, 35741, 32, 10615, 32, 297, 81, 1293, 26, 2225, 81, 314, 30, 14558, 81, 567, 27, 203, 4396, 665, 2498, 81, 5522, 26, 31667, 30, 1359, 711, 284, 2577, 280, 35741, 32, 605, 77, 16799, 79, 280, 7264, 1722, 26, 291, 617, 22228, 30, 4085, 10383, 30, 35741, 30, 9990, 927, 81, 22812, 30, 20359, 81, 2474, 81, 2320, 81, 33124, 940, 284, 829, 284, 2014, 2577, 32, 4396, 81, 5522, 26, 1163, 27, 284, 2577, 32, 4396, 81, 3317, 81, 2225, 81, 2122, 26, 12744, 81, 70, 7811, 81, 6664, 30, 6663, 313, 4396, 81, 389, 81, 1719, 657, 284, 2577, 32, 4396, 81, 3317, 81, 2225, 81, 2122 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 4, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 6, 5, 6, 6, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 6, 6, 6, 6, 6, 4, 5, 4, 6, 6, 6, 6, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 3, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 6, 5, 6, 6, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 5, 6, 4, 4, 6, 7, 6, 7, 7, 7, 6, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 2, 3, 3, 3, 1, 2, 2, 3, 3, 3, 4, 3, 3, 5, 5, 4, 5, 3, 2, 2, 6, 6, 5, 5, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 4, 7, 8, 6, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 0, 1, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 5, 5, 7, 7, 7, 7, 8, 7, 7, 8, 7, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 2, 2, 4, 6, 7, 7, 7, 6, 7, 6, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 0, 1, 2, 1, 4, 4, 4, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 8, 8, 0, 1, 2, 8, 8, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 23, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 24, 24, 24, 2, 2, 3, 1, 3, 3, 3, 24, 24, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 7, 7, 7, 1, 1, 9, 9, 9, 9, 9, 9, 9, 1, 1, 5, 5, 0, 0, 2, 2, 2, 1, 1, 1, 5, 5, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 2, 2, 2, 2, 2, 2, 2 ]
[ 1070, 3619, 10201, 32, 696, 32, 753, 1188, 319, 203, 823, 9806, 2708, 3853, 26, 2778, 711, 284, 1769, 3853, 280, 16990, 26, 2778, 1114, 11215, 1026, 313, 1449, 3853, 392, 313, 1449, 1451, 432, 17576, 28200, 225, 34, 547, 392, 827, 6519, 47, 620, 36218, 32, 20942, 27, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 3993, 2708, 3853, 30, 630, 14585, 1664, 16369, 284, 665, 739, 2708, 3853, 26, 784, 30, 786, 711, 291, 442, 630, 1114, 470, 26, 1449, 3853, 47, 853, 27, 284, 665, 39486, 3853, 26, 784, 711, 291, 442, 630, 32, 371, 13642, 26, 784, 32, 1449, 3853, 27, 203, 823, 9806, 3339, 3180, 26, 2778, 711, 284, 2834, 3180, 280, 16990, 26, 2778, 1114, 11215, 1026, 313, 1582, 3180, 392, 313, 16343, 1649, 3395, 28200, 225, 34, 547, 392, 827, 6519, 47, 620, 36218, 32, 48124, 27, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 3993, 3339, 3180, 30, 630, 14585, 1664, 16369, 284, 665, 739, 3339, 3180, 26, 784, 30, 786, 711, 291, 442, 630, 1114, 470, 26, 1582, 3180, 47, 853, 27, 284, 665, 622, 3339, 3180, 26, 784, 711, 291, 442, 630, 32, 371, 13642, 26, 784, 32, 1582, 3180, 27, 203, 823, 9806, 9554, 871, 26, 2778, 711, 284, 5359, 871, 280, 16990, 26, 2778, 1114, 11215, 1026, 313, 5905, 871, 392, 313, 5905, 2623, 636, 4414, 827, 6519, 47, 620, 36218, 32, 3108, 27, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 3993, 9554, 871, 30, 630, 14585, 1664, 16369, 291, 630, 1114, 27380, 26, 5905, 871, 1057, 5905, 683, 284, 665, 739, 9554, 871, 26, 784, 30, 786, 711, 291, 442, 630, 1114, 470, 26, 5905, 871, 47, 853, 27, 284, 665, 622, 9554, 871, 26, 784, 711, 291, 442, 630, 32, 371, 13642, 26, 784, 32, 5905, 871, 27, 203, 823, 9806, 2168, 871, 26, 2778, 711, 284, 2266, 871, 280, 16990, 26, 2778, 1114, 11215, 1026, 313, 1172, 871, 392, 313, 1172, 2623, 636, 4414, 827, 6519, 47, 620, 36218, 32, 3108, 27, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 3993, 2168, 871, 30, 630, 14585, 1664, 16369, 291, 630, 1114, 27380, 26, 1172, 871, 1057, 1172, 683, 284, 665, 739, 2168, 871, 26, 784, 30, 786, 711, 291, 442, 630, 1114, 470, 26, 1172, 871, 47, 853, 27, 284, 665, 622, 2168, 871, 26, 784, 711, 291, 442, 630, 32, 371, 13642, 26, 784, 32, 1172, 871, 27, 203, 823, 9806, 33035, 871, 26, 2778, 711, 284, 16861, 871, 280, 16990, 26, 2778, 1114, 11215, 1026, 313, 19950, 871, 392, 313, 19950, 2623, 636, 4414, 827, 6519, 47, 620, 36218, 32, 3108, 27, 284, 665, 1156, 1664, 3207, 784, 711, 291, 2599, 26, 3993, 33035, 871, 30, 630, 14585, 1664, 16369, 291, 630, 1114, 27380, 26, 19950, 871, 1057, 19950, 683, 284, 665, 739, 33035, 871, 26, 784, 30, 786, 711, 291, 442, 630, 1114, 470, 26, 19950, 871, 47, 853, 27, 284, 665, 622, 33035, 871, 26, 784, 711, 291, 442, 630, 32, 371, 13642, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 9, 8, 9, 8, 6, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 7, 9, 9, 8, 9, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 9, 8, 9, 9, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 9, 8, 9, 8, 6, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 7, 9, 9, 8, 9, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 9, 8, 9, 9, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 9, 8, 9, 8, 6, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 7, 9, 9, 8, 9, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 7, 9, 9, 8, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 9, 8, 9, 9, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 9, 8, 9, 8, 6, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 7, 9, 9, 8, 9, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 7, 9, 9, 8, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 9, 8, 9, 9, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 9, 8, 9, 8, 6, 8, 8, 8, 6, 8, 8, 8, 8, 6, 8, 7, 9, 9, 8, 9, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 7, 9, 9, 8, 10, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 9, 9, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7 ]
[ 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 7, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 7, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 7, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 0, 0, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 7, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 0, 0, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 7, 0, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 1, 0, 0, 1, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 2, 1 ]
[ 465, 2361, 203, 1070, 3312, 32, 2243, 1188, 9045, 3660, 1183, 7233, 203, 1070, 36387, 32, 12449, 45027, 32, 1823, 35, 1188, 15200, 35, 203, 823, 2108, 720, 8589, 13628, 3113, 101, 26, 10645, 3660, 1183, 7233, 711, 284, 3387, 81, 823, 280, 15200, 35, 284, 665, 1244, 81, 1548, 26, 784, 711, 291, 442, 2361, 32, 16958, 26, 324, 301, 103, 25, 720, 8589, 13628, 3113, 101, 1397, 950, 3083, 301, 103, 25, 720, 8589, 13628, 3113, 101, 1394, 950, 1750, 301, 103, 25, 13628, 3113, 4364, 950, 428, 2855, 301, 103, 25, 1834, 13779, 974, 2424, 950, 428, 103, 25, 9762, 370, 1044, 25, 3969, 2188, 5556, 1044, 25, 13628, 3113, 558, 950, 1044, 25, 37, 36, 2400, 11639, 7946, 3974, 23227, 2579, 225, 41, 8885, 2855, 301, 103, 25, 1834, 13779, 974, 2424, 950, 428, 103, 25, 3969, 2188, 5556, 1044, 25, 13628, 3113, 558, 950, 1044, 25, 37, 36, 2400, 11639, 7946, 3974, 8500, 225, 39, 32, 37, 6040, 614, 2855, 1044, 25, 13628, 3113, 101, 950, 428, 103, 25, 37, 36, 2400, 11639, 7946, 3974, 23227, 2579, 225, 41, 370, 10631, 1044, 25, 37, 36, 2400, 11639, 7946, 3974, 8500, 225, 39, 32, 37, 785, 835, 400, 1044, 25, 1397, 4097, 950, 301, 103, 25, 20138, 950, 1044, 4484, 602, 81, 314, 21028, 12665, 4434, 463, 3310, 31, 42, 683, 284, 665, 894, 81, 668, 81, 7230, 81, 10957, 81, 35339, 26, 784, 711, 291, 630, 32, 470, 81, 525, 81, 1986, 26, 1517, 81, 687, 47, 36, 34, 34, 27, 291, 4125, 81, 1986, 280, 630, 32, 2122, 81, 3841, 32, 668, 81, 7230, 81, 10957, 81, 35339, 346, 291, 4138, 81, 3958, 280, 4125, 81, 1986, 710, 720, 8589, 13628, 3113, 101, 1397, 785, 78, 1891, 2107, 720, 8589, 13628, 3113, 101, 1394, 785, 78, 1891, 2107, 13628, 3113, 4364, 785, 291, 5295, 81, 35339, 280, 4125, 81, 1986, 710, 720, 8589, 13628, 3113, 101, 1397, 785, 78, 8479, 2107, 720, 8589, 13628, 3113, 101, 1394, 785, 78, 8479, 2107, 13628, 3113, 101, 785, 291, 630, 32, 5299, 26, 10957, 81, 35339, 30, 715, 428, 103, 25, 37, 36, 2400, 11639, 7946, 3974, 23227, 2579, 225, 41, 370, 656, 1044, 25, 37, 36, 2400, 11639, 7946, 3974, 8500, 225, 39, 32, 37, 3490, 291, 630, 32, 862, 81, 1357, 81, 5138, 1371, 324, 330, 1711, 950, 330, 720, 8589, 13628, 3113, 101, 370, 324, 330, 14264, 950, 330, 3265, 370, 324, 330, 2062, 950, 330, 36, 34, 35, 34, 31, 35, 36, 31, 34, 35, 370, 291, 1790, 203, 823, 2108, 1922, 2727, 2062, 26, 10645, 3660, 1183, 7233, 711, 284, 3387, 81, 823, 280, 15200, 35, 284, 665, 1244, 81, 1548, 26, 784, 711, 291, 442, 2361, 32, 16958, 1371, 324, 330, 1922, 2727, 2062, 1397, 950, 1090, 301, 103, 25, 1922, 2727, 2062, 1394, 950, 353, 301, 103, 25, 2727, 2062, 950, 528, 301, 103, 25, 2727, 558, 950, 1044, 25, 3164, 35, 370, 3486, 1044, 25, 1547, 6873, 950, 225, 35, 37, 38, 37, 34, 40, 41, 34, 43, 38, 32, 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, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 9, 9, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 17, 17, 17, 17, 17, 17, 15, 16, 16, 20, 20, 20, 20, 20, 20, 20, 18, 21, 21, 21, 21, 19, 21, 21, 21, 17, 17, 20, 20, 20, 20, 20, 18, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 16, 16, 20, 20, 20, 20, 20, 20, 20, 18, 21, 21, 21, 21, 17, 17, 20, 20, 20, 20, 20, 18, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 16, 14, 14, 17, 17, 17, 17, 17, 15, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 16, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 14, 12, 12, 15, 15, 15, 15, 13, 17, 17, 17, 17, 15, 17, 17, 17, 17, 17, 10, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 8, 9, 9, 9, 7, 4, 4, 7, 7, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 8, 4, 4, 7, 7, 6, 6, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 9, 9, 9, 9, 4, 4, 7, 8, 7, 8, 8, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 8, 8, 8, 8, 7, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 9, 10, 9, 10, 10, 13, 13, 13, 13, 13, 11, 11, 15, 15, 15, 15, 15, 15, 15, 13, 13, 17, 17, 17, 17, 17, 15, 15, 19, 19, 19, 19, 19, 17, 19, 19, 19, 19, 16, 16, 19, 19, 19, 19, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 3, 3, 0, 1, 1, 1, 2, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 3, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 4, 4, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 1070, 8527, 32, 1199, 32, 11514, 1188, 3772, 3954, 1428, 32402, 203, 823, 6716, 1428, 32402, 26, 1761, 3954, 1428, 32402, 711, 284, 706, 81, 2516, 81, 9833, 280, 301, 276, 35, 40, 44, 330, 39471, 370, 276, 36, 34, 44, 330, 21541, 1176, 370, 276, 36, 35, 44, 330, 12470, 30400, 370, 276, 36, 37, 44, 330, 30400, 370, 276, 36, 39, 44, 330, 10215, 370, 276, 41, 34, 34, 44, 330, 3670, 1176, 370, 276, 41, 34, 35, 44, 330, 3670, 1176, 370, 276, 42, 40, 43, 44, 330, 27108, 1176, 370, 276, 35, 34, 38, 37, 44, 330, 16357, 370, 276, 35, 34, 42, 36, 44, 330, 1547, 1176, 370, 276, 35, 34, 42, 37, 44, 330, 1043, 1176, 370, 276, 35, 35, 35, 38, 44, 330, 36172, 370, 276, 35, 35, 42, 38, 44, 330, 36172, 370, 276, 35, 36, 40, 40, 44, 330, 1043, 1176, 370, 276, 35, 41, 34, 34, 44, 330, 7697, 1176, 370, 284, 320, 284, 665, 622, 81, 1274, 81, 668, 26, 784, 30, 6213, 711, 291, 313, 6970, 312, 1149, 432, 1858, 4467, 328, 322, 1550, 3500, 3107, 291, 6213, 32, 4526, 27265, 324, 10246, 281, 32, 2808, 426, 324, 3753, 12606, 81, 10771, 32, 2323, 81, 823, 281, 324, 17789, 13039, 12606, 81, 10771, 32, 2323, 81, 2011, 310, 5701, 310, 32, 580, 280, 281, 32, 2808, 2011, 324, 4998, 281, 32, 2808, 5462, 1236, 2726, 100, 370, 330, 104, 370, 9142, 400, 3114, 310, 32, 96, 419, 426, 2370, 1236, 2726, 2323, 81, 10771, 370, 330, 2323, 81, 21423, 683, 400, 3114, 12606, 81, 10771, 32, 2323, 81, 1274, 81, 297, 81, 7891, 26, 85, 32, 580, 27, 41135, 291, 442, 428, 643, 77, 34, 79, 436, 2698, 328, 6213, 32, 44569, 7662, 284, 665, 622, 81, 1274, 81, 2310, 26, 784, 30, 6213, 30, 1858, 81, 426, 711, 291, 313, 6970, 312, 3048, 432, 322, 1858, 30, 623, 322, 4581, 31, 2554, 6213, 32, 2310, 2568, 3107, 291, 6213, 32, 4526, 440, 4620, 319, 3753, 904, 101, 7445, 225, 35, 20, 904, 630, 32, 3841, 32, 4156, 32, 7345, 81, 426, 26, 1274, 81, 426, 490, 291, 442, 6213, 32, 2310, 284, 665, 622, 81, 33031, 26, 784, 30, 6213, 30, 1858, 81, 426, 711, 291, 6213, 32, 4526, 27265, 324, 10246, 457, 32, 468, 678, 30, 457, 32, 2957, 678, 30, 281, 36, 32, 2808, 426, 324, 3753, 12606, 81, 12704, 457, 30, 12606, 81, 823, 281, 35, 30, 12606, 81, 823, 281, 36, 324, 4998, 281, 35, 32, 580, 280, 457, 32, 468, 2808, 314, 400, 3114, 281, 36, 32, 580, 280, 457, 32, 2957, 2808, 314, 400, 3114, 281, 35, 32, 2808, 426, 280, 904, 101, 400, 3114, 457, 32, 666, 411, 280, 330, 88, 25, 37616, 428, 1274, 81, 426, 1130, 291, 28280, 280, 2149, 291, 436, 2698, 328, 6213, 32, 44569, 2262, 324, 1596, 44, 400, 28280, 77, 410, 26, 643, 77, 34, 1674, 35, 5979, 35, 1130, 429, 225, 35, 79, 280, 308, 410, 26, 643, 77, 35, 1674, 35, 5979, 35, 1130 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 7, 7, 6, 6, 8, 8, 5, 7, 7, 6, 6, 8, 8, 8, 5, 7, 7, 6, 6, 8, 8, 8, 5, 7, 7, 6, 6, 8, 8, 5, 7, 7, 6, 6, 8, 8, 5, 7, 7, 7, 6, 6, 8, 8, 8, 5, 7, 7, 7, 6, 6, 8, 8, 8, 5, 7, 7, 7, 6, 6, 8, 8, 8, 5, 7, 7, 7, 7, 6, 6, 8, 8, 5, 7, 7, 7, 7, 6, 6, 8, 8, 8, 5, 7, 7, 7, 7, 6, 6, 8, 8, 8, 5, 7, 7, 7, 7, 6, 6, 8, 8, 5, 7, 7, 7, 7, 6, 6, 8, 8, 5, 7, 7, 7, 7, 6, 6, 8, 8, 8, 5, 7, 7, 7, 7, 6, 6, 8, 8, 8, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 5, 8, 7, 8, 7, 6, 7, 7, 7, 9, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 12, 13, 11, 12, 10, 11, 11, 11, 10, 11, 11, 11, 10, 4, 4, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 8, 4, 4, 6, 6, 4, 4, 5, 5, 5, 7, 8, 7, 5, 5, 7, 7, 7, 11, 14, 14, 17, 16, 17, 16, 17, 16, 18, 15, 12, 12, 13, 11, 10, 10, 14, 14, 17, 16, 17, 16, 17, 16, 18, 15 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 3, 3, 1, 1, 2, 2, 0, 0, 5, 5, 1, 1, 2, 2, 0, 0, 7, 7, 1, 2, 2, 0, 0, 9, 9, 1, 2, 2, 0, 0, 0, 11, 11, 1, 1, 2, 2, 0, 0, 0, 13, 13, 1, 1, 2, 2, 0, 0, 0, 15, 15, 1, 1, 2, 2, 0, 0, 0, 0, 17, 17, 1, 2, 2, 0, 0, 0, 0, 19, 19, 1, 1, 2, 2, 0, 0, 0, 0, 21, 21, 1, 1, 2, 2, 0, 0, 0, 0, 23, 23, 1, 2, 2, 0, 0, 0, 0, 25, 25, 1, 2, 2, 0, 0, 0, 0, 27, 27, 1, 1, 2, 2, 0, 0, 0, 0, 29, 29, 1, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 4, 4, 0, 0, 4, 4, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1 ]
[ 1070, 29252, 331, 2323, 36, 32, 20915, 1188, 2821, 3198, 30, 6666, 19508, 3198, 30, 26674, 3198, 203, 1070, 8527, 1188, 10548, 203, 1070, 8527, 32, 1262, 1188, 14735, 203, 1070, 8527, 32, 8538, 32, 12035, 1188, 10473, 3763, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 1044, 33170, 81, 10629, 619, 617, 203, 505, 464, 505, 280, 2107, 3061, 3198, 1176, 370, 330, 3670, 3198, 1176, 370, 330, 4852, 3198, 1176, 370, 330, 48376, 1176, 785, 203, 823, 3772, 3198, 1176, 26, 8538, 32, 6221, 882, 1176, 711, 284, 1244, 81, 731, 81, 6286, 280, 301, 291, 330, 5790, 950, 30121, 6545, 3134, 2080, 2078, 41365, 291, 330, 4464, 81, 24576, 950, 30121, 1318, 1477, 432, 322, 2155, 2298, 646, 27419, 322, 943, 432, 322, 2155, 41365, 284, 320, 284, 665, 1156, 1664, 3207, 784, 30, 1115, 5321, 711, 291, 415, 330, 3854, 25, 646, 328, 10306, 44, 324, 10306, 710, 3854, 785, 280, 13091, 3763, 26, 784, 32, 1439, 81, 1495, 32, 3854, 27, 291, 415, 330, 4151, 25, 646, 328, 10306, 44, 324, 10306, 710, 4151, 785, 280, 428, 784, 32, 1439, 81, 1495, 26, 3648, 47, 2700, 471, 630, 32, 1439, 81, 1495, 26, 3648, 47, 2700, 2177, 291, 10306, 32, 37329, 463, 3648, 370, 3177, 27, 291, 10306, 32, 37329, 463, 1981, 81, 464, 81, 4151, 370, 3177, 27, 291, 2599, 26, 1761, 3198, 1176, 30, 630, 14585, 1664, 3207, 326, 5321, 27, 284, 665, 11656, 81, 853, 26, 784, 30, 786, 711, 291, 7216, 81, 1439, 30, 8342, 81, 1439, 280, 630, 32, 4151, 291, 415, 6937, 26, 853, 30, 630, 32, 3585, 81, 681, 711, 324, 442, 428, 400, 7216, 81, 1439, 32, 9266, 81, 853, 26, 853, 32, 5729, 471, 400, 8342, 81, 1439, 32, 9266, 81, 853, 26, 853, 32, 7607, 471, 324, 1481, 291, 415, 786, 438, 1665, 44, 324, 442, 428, 400, 7216, 81, 1439, 32, 9266, 81, 853, 26, 2521, 471, 400, 8342, 81, 1439, 32, 9266, 81, 853, 26, 2521, 471, 324, 1481, 291, 442, 786, 284, 665, 20918, 26, 784, 30, 2078, 711, 291, 415, 646, 2078, 44, 324, 442, 1665, 291, 7216, 30, 8342, 280, 2078, 291, 415, 7216, 438, 646, 1665, 461, 8342, 438, 646, 1665, 461, 7216, 848, 8342, 44, 324, 3636, 14735, 32, 24536, 26, 400, 630, 32, 731, 81, 6286, 710, 4464, 81, 24576, 2188, 400, 1340, 1057, 4464, 81, 24576, 370, 324, 829, 291, 1596, 44, 324, 2155, 81, 853, 280, 630, 32, 3585, 81, 681, 26, 5729, 30, 8342, 27, 291, 2940, 12678, 44, 324, 3636, 14735, 32, 24536, 26, 400, 630, 32, 731, 81, 6286, 710, 5790, 2188, 400, 1340, 1057, 5790, 370, 324, 829, 291, 813, 44, 324, 442, 2155, 81, 853, 203, 823, 4401, 3198, 1176, 26, 1761, 3198, 1176, 711, 284, 1244, 81, 731, 81, 6286, 280, 5053, 5790, 950, 30121, 6545, 3134, 9844, 7515, 11834, 111, 284, 1695, 81, 1495, 280, 10548, 32, 30400, 284, 2155, 81, 681, 280, 26674, 3198, 203, 823, 8174, 3198, 1176, 26, 1761, 3198, 1176, 711, 284, 1244, 81, 731, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 2, 2, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 5, 5, 4, 4, 5, 5, 8, 8, 6, 10, 10, 10, 10, 10, 5, 5, 8, 8, 8, 8, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 3, 3, 5, 8, 8, 6, 6, 6, 5, 5, 5, 9, 11, 11, 8, 8, 10, 10, 13, 12, 13, 13, 13, 11, 12, 10, 4, 4, 5, 8, 8, 6, 6, 6, 5, 5, 5, 9, 11, 11, 8, 8, 12, 11, 12, 12, 12, 11, 13, 12, 13, 11, 9, 11, 12, 12, 12, 11, 13, 12, 13, 11, 4, 4, 7, 8, 7, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 9, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 8, 8, 7, 7, 8, 8, 6, 6, 7, 8, 4, 4, 5, 7, 8, 7, 7, 8, 9, 9, 9, 7, 5, 5, 7, 8, 8, 11, 11, 10, 11, 11, 11, 10, 12, 11, 12, 10, 8, 8, 11, 11, 10, 11, 11, 11, 10, 12, 11, 12, 10, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 7, 8, 8, 11, 11, 10, 11, 11, 11, 10, 11, 10, 8, 8, 11, 11, 10, 11, 11, 11, 10, 11, 10, 8, 8, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 6, 5, 5, 5, 7, 4, 4, 7, 7, 6, 6, 4, 4, 5, 8, 8, 8, 7, 7, 8, 8, 8, 6, 6, 7, 7, 5, 5, 5, 7, 9, 10, 9, 9, 9, 11, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 9, 9, 4, 4, 5, 5, 5, 9, 9, 8, 8, 10, 11, 11, 11, 10, 11, 10, 10, 10, 5, 5, 6, 6, 6, 6, 8, 10, 11, 10, 10, 10, 12, 13, 13, 13, 11, 13, 13, 10, 10, 11, 13, 13, 10, 10, 5, 5, 6, 6, 6, 8, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 8, 8, 6, 10, 10, 10, 10, 10, 5, 2, 2, 5, 5, 4, 4, 5, 6, 2, 2, 5, 5, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5 ]
[ 0, 0, 0, 0, 0, 1, 2, 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, 1, 4, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 4, 4, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 6, 6, 1, 1, 2, 0, 1, 2, 2, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 4, 4, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 3, 4, 4, 3, 2, 1, 2, 2, 2, 3, 3, 0, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 4, 4, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 3, 3, 4, 4, 4, 0, 1, 1, 0, 7, 7, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 0, 8, 8, 1, 1, 2, 1, 1, 1, 2, 8, 8, 0, 0, 0 ]
[ 465, 7515, 203, 1070, 20717, 1188, 20642, 3103, 2281, 203, 1070, 31074, 1188, 8241, 203, 1070, 11993, 1188, 6204, 30, 5648, 30, 16545, 203, 465, 6436, 619, 2065, 203, 465, 12643, 619, 6121, 203, 1070, 12643, 32, 1237, 32, 2516, 1188, 41570, 1578, 54, 681, 203, 1070, 3619, 10201, 32, 2602, 1188, 4442, 619, 506, 203, 1070, 3619, 10201, 32, 2602, 32, 2516, 1188, 308, 284, 2629, 620, 30, 284, 13312, 620, 30, 284, 5069, 620, 30, 284, 21862, 30, 284, 2821, 620, 30, 284, 23501, 620, 30, 284, 40823, 279, 620, 30, 284, 14291, 279, 620, 30, 284, 3516, 620, 30, 284, 9282, 620, 30, 284, 26674, 620, 30, 284, 892, 620, 30, 284, 10791, 620, 30, 284, 18378, 620, 30, 284, 2680, 12421, 620, 30, 203, 27, 203, 1070, 3619, 10201, 32, 24464, 1114, 33477, 1188, 475, 681, 30, 6422, 11196, 12054, 30, 20886, 1527, 1284, 203, 1070, 3619, 10201, 32, 24464, 32, 10201, 1188, 4442, 619, 28000, 203, 1070, 3619, 10201, 32, 24464, 32, 5320, 1188, 5016, 81, 48507, 203, 1070, 3619, 10201, 32, 24464, 32, 5320, 32, 681, 25335, 1188, 308, 284, 5016, 81, 48507, 81, 7230, 30, 284, 5016, 81, 1808, 81, 48507, 81, 7230, 30, 284, 5016, 81, 1473, 81, 48507, 81, 7230, 30, 203, 27, 203, 325, 5016, 81, 48507, 81, 7230, 44, 284, 645, 12643, 1188, 2854, 42, 54, 681, 30, 2854, 35, 40, 54, 681, 30, 2854, 37, 36, 54, 681, 30, 2854, 40, 38, 54, 681, 203, 325, 5016, 81, 1808, 81, 48507, 81, 7230, 44, 284, 645, 12643, 1188, 8174, 37, 36, 54, 681, 30, 8174, 40, 38, 54, 681, 203, 325, 5016, 81, 1473, 81, 48507, 81, 7230, 44, 284, 645, 12643, 1188, 5069, 54, 681, 30, 892, 54, 681, 203, 589, 438, 81, 1327, 81, 14065, 81, 979, 81, 10125, 81, 282, 17169, 26, 14065, 44, 6204, 30, 9305, 2608, 81, 2420, 44, 1560, 280, 2933, 27, 967, 1560, 44, 284, 645, 3619, 10201, 32, 24464, 32, 1439, 1188, 6422, 11196, 13976, 284, 415, 6937, 26, 14065, 30, 7515, 32, 1918, 711, 291, 442, 646, 6937, 26, 14065, 30, 1560, 27, 556, 2608, 81, 2420, 284, 4348, 6937, 26, 14065, 30, 6422, 11196, 13976, 711, 291, 415, 6937, 26, 14065, 32, 12010, 30, 41570, 1578, 54, 681, 711, 324, 442, 3177, 291, 813, 44, 324, 442, 6937, 26, 14065, 32, 10201, 32, 605, 81, 681, 30, 26674, 620, 27, 556, 308, 400, 2608, 81, 2420, 461, 6937, 26, 14065, 32, 10201, 32, 605, 81, 681, 30, 5069, 620, 27, 324, 829, 284, 813, 44, 291, 442, 3177, 203, 589, 4522, 81, 4398, 81, 14065, 81, 452, 81, 10125, 26, 284, 19236, 44, 6204, 30, 20506, 81, 681, 44, 5648, 77, 9894, 79, 280, 1665, 203, 27, 967, 6204, 44, 284, 645, 3619, 10201, 32, 24464, 32, 1439, 1188, 6422, 11196, 13976, 284, 415, 6937, 26, 14065, 30, 6422, 11196, 13976, 27, 461, 6937, 26, 14065, 32, 10201, 32, 605, 81, 681, 30, 5069, 620, 711, 291, 1201, 20506, 81, 681, 30, 313, 10201, 81, 681, 2298, 526, 3943, 415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 3, 3, 3, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 3, 3, 5, 5, 3, 3, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1, 3, 5, 4, 5, 4, 5, 3, 3, 5, 5, 2, 2, 3, 5, 6, 5, 5, 6, 7, 5, 3, 3, 5, 7, 9, 10, 9, 9, 9, 6, 6, 7, 7, 3, 3, 4, 6, 7, 6, 6, 7, 7, 6, 4, 4, 6, 8, 10, 9, 10, 8, 8, 9, 9, 9, 8, 6, 6, 8, 6, 6, 7, 7, 7, 9, 12, 15, 14, 15, 13, 14, 14, 14, 12, 12, 13, 12, 10, 10, 11, 11, 13, 13, 12, 12, 14, 17, 16, 17, 15, 16, 16, 16, 14, 14, 15, 14, 11, 11, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 4, 4, 3, 3, 6, 8, 6, 3, 3, 2, 2, 1, 1, 1, 1, 1, 3, 5, 4, 5, 4, 5, 3, 3, 5, 5, 2, 2, 3, 6, 7, 6, 6, 7, 7, 6, 4, 4, 6, 9, 8, 9, 7, 8, 8, 8, 6, 6, 7, 6, 3, 3, 5, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 4, 4, 1, 1, 0, 5, 5, 1, 1, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 7, 7, 0, 1, 2, 7, 7, 3, 3, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 9, 9, 0, 1, 2, 1, 4, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 10, 10, 0, 1, 2, 1, 4, 10, 10, 3, 3, 0, 11, 11, 0, 1, 2, 1, 4, 11, 11, 0, 0, 0, 12, 12, 0, 1, 2, 1, 4, 1, 6, 6, 12, 12, 12, 12, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 0, 0, 12, 12, 12, 0, 13, 13, 1, 1, 1, 1, 13, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 1, 1, 1, 1, 1, 1, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 1, 1, 1, 1, 1, 1, 15, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 5, 5, 5, 5, 2, 16, 16, 16, 16, 16, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 6, 6, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 1, 0, 1, 2, 1, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 4, 4, 4, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 3, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 3, 1, 2, 2, 1, 1, 5, 5, 5, 0, 0, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 3, 3, 1, 0, 1, 3, 3, 2, 2, 17, 17, 17, 17, 17, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 6, 6, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 3, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 26015, 1188, 319, 203, 1070, 26015, 32, 1040, 1188, 2290, 81, 5248, 203, 465, 5237, 203, 325, 2290, 81, 5248, 463, 33638, 7831, 203, 202, 1356, 33638, 280, 390, 17950, 26, 1809, 81, 5248, 463, 33638, 2847, 203, 12106, 2290, 81, 5248, 463, 1356, 33638, 7831, 203, 202, 1356, 33638, 280, 390, 17950, 26, 1809, 81, 5248, 463, 1356, 33638, 2847, 203, 1824, 44, 203, 202, 325, 5237, 32, 5134, 610, 330, 4463, 37, 36, 950, 357, 202, 1356, 33638, 280, 390, 17950, 10198, 5910, 33, 1356, 33638, 32, 9685, 683, 203, 202, 1824, 44, 357, 202, 1356, 33638, 280, 390, 17950, 10198, 1356, 33638, 32, 762, 32, 36, 683, 203, 69, 5047, 81, 2319, 280, 2107, 53, 81, 36886, 370, 330, 5385, 81, 36886, 370, 330, 4431, 81, 7420, 370, 330, 18386, 42027, 81, 6004, 68, 370, 330, 5385, 81, 6004, 68, 25, 1481, 203, 23033, 81, 2319, 280, 2107, 22049, 370, 330, 48652, 370, 330, 68, 8709, 370, 330, 14840, 2396, 779, 370, 330, 2883, 5762, 1068, 1345, 785, 203, 979, 595, 30, 309, 328, 10703, 26, 69, 5047, 81, 2319, 711, 2299, 4912, 101, 280, 904, 86, 20, 904, 308, 101, 1717, 595, 490, 203, 979, 595, 30, 309, 328, 10703, 26, 23033, 81, 2319, 711, 2299, 4912, 101, 280, 904, 86, 20, 904, 308, 101, 1717, 595, 490, 203, 11271, 81, 5203, 81, 6439, 280, 390, 6439, 9926, 26, 2521, 30, 281, 81, 1594, 81, 98, 27, 203, 589, 1459, 81, 1693, 26, 101, 711, 1659, 202, 601, 225, 203, 589, 4479, 4140, 26, 4243, 30, 3738, 711, 1659, 202, 601, 1149, 26, 3969, 26, 4243, 30, 3738, 490, 203, 589, 5318, 3889, 26, 88, 30, 6109, 411, 30, 1638, 2516, 711, 1659, 202, 88, 32, 4738, 411, 280, 6109, 411, 203, 202, 88, 32, 626, 2516, 280, 1638, 2516, 203, 823, 46676, 81, 1251, 26, 8634, 711, 203, 202, 81, 4243, 280, 3037, 1055, 392, 313, 853, 1446, 203, 202, 81, 2516, 280, 428, 85, 81, 410, 30, 281, 81, 2627, 79, 203, 202, 81, 4151, 81, 280, 4479, 4140, 2176, 4243, 30, 617, 2516, 27, 203, 589, 4479, 81, 33638, 81, 1251, 955, 26, 15751, 30, 2787, 81, 1449, 47, 2521, 30, 438, 15378, 47, 2521, 711, 203, 202, 325, 6937, 26, 15751, 30, 5436, 711, 357, 202, 1055, 81, 3585, 280, 34489, 32, 3494, 346, 203, 202, 12106, 6937, 26, 15751, 30, 308, 668, 30, 8825, 8531, 357, 202, 1055, 81, 3585, 280, 2155, 26, 1657, 26, 15751, 490, 203, 202, 1824, 44, 357, 202, 13225, 12678, 463, 15751, 1395, 526, 312, 9473, 30, 1149, 556, 8825, 683, 203, 202, 325, 2787, 81, 1449, 44, 357, 202, 862, 26, 38003, 26, 3274, 81, 1449, 30, 629, 490, 357, 202, 1055, 81, 3585, 280, 2761, 26, 5962, 594, 44, 594, 2511, 2787, 81, 1449, 30, 1650, 81, 3585, 27, 203, 202, 325, 438, 15378, 44, 4512, 202, 1055, 81, 3585, 280, 2761, 26, 5962, 594, 44, 15751, 77, 92, 79, 863, 225, 34, 30, 1650, 81, 3585, 27, 203, 202, 1055, 81, 3585, 280, 8594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 3, 3, 5, 5, 1, 1, 5, 5, 4, 4, 6, 6, 8, 8, 8, 8, 10, 10, 1, 2, 2, 4, 4, 4, 6, 6, 6, 2, 2, 6, 6, 5, 5, 7, 7, 9, 9, 9, 9, 11, 11, 11, 1, 2, 2, 2, 2, 4, 4, 6, 7, 5, 5, 7, 7, 7, 7, 4, 4, 8, 8, 7, 7, 9, 9, 11, 11, 11, 11, 11, 11, 11, 4, 4, 5, 5, 5, 5, 9, 9, 8, 8, 10, 10, 12, 12, 12, 12, 12, 12, 12, 0, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 4, 4, 3, 1, 5, 8, 8, 8, 8, 8, 6, 6, 8, 7, 7, 7, 0, 1, 1, 2, 2, 1, 1, 3, 4, 4, 4, 3, 1, 5, 8, 8, 8, 8, 8, 6, 6, 8, 7, 7, 7, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 0, 0, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 5, 7, 7, 8, 7, 7, 7, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 1, 6, 5, 6, 6, 4, 4, 5, 2, 2, 6, 5, 6, 6, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 7, 5, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 6, 5, 5, 6, 6, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 7, 6, 6, 7, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 2, 4, 3, 4, 2, 1, 1, 3, 3, 5, 6, 5, 5, 5, 3, 3, 7, 7, 7, 6, 6, 8, 9, 8, 3, 3, 4, 4, 6, 7, 6, 6, 8, 7, 7, 7, 4, 4, 8, 8, 8, 7, 7, 9, 11, 11, 12, 11, 3, 3, 4, 4, 4, 4, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 3, 4, 4, 3, 3, 3, 5, 6, 8, 8, 9, 9, 9, 8, 8, 8, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 10, 10, 11, 11, 8, 8, 9, 9, 8, 2, 2, 3, 3, 4, 3, 3, 3, 7, 7, 7, 6, 6, 8, 9, 9, 9, 12, 11, 12, 11, 10, 10, 11, 8, 8, 9, 9, 8, 2, 2, 5, 5, 5, 4, 4 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 3, 3, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 3, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 3, 5, 5, 5, 5, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 6, 6, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 7, 7, 1, 1, 7, 7, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 2, 2, 2, 10, 10, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 11, 11, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 11, 11, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 0, 2, 2, 0, 0, 2, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 1, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 0, 13, 13, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 0, 5, 2, 2, 13, 13, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 4, 4, 1, 1, 1, 1, 1, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 5, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 2, 2, 1, 1, 3, 3, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 3, 3, 2, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 0 ]
[ 1070, 5296, 32, 23199, 1188, 12039, 203, 1070, 42406, 1188, 8735, 39, 203, 465, 42406, 203, 465, 1695, 40, 38, 203, 465, 316, 203, 465, 2322, 203, 9592, 203, 66, 4657, 1554, 5108, 39, 2185, 23933, 2601, 4122, 544, 203, 9592, 203, 823, 447, 4657, 1554, 5108, 39, 2185, 23933, 2262, 284, 477, 16099, 284, 665, 622, 81, 34078, 81, 678, 26, 2895, 30, 17940, 30, 2385, 711, 291, 1202, 280, 3882, 474, 17940, 291, 436, 595, 328, 2155, 26, 998, 711, 324, 345, 280, 42406, 32, 954, 39, 26, 678, 27, 324, 1202, 280, 345, 32, 13995, 346, 291, 442, 308, 678, 2867, 42, 614, 1202, 77, 42, 19572, 284, 477, 16099, 284, 665, 24827, 26, 2076, 30, 3882, 711, 291, 3124, 81, 3651, 280, 1695, 40, 38, 32, 84, 40, 38, 5460, 26, 2076, 27, 291, 17940, 280, 3124, 81, 3651, 2867, 42, 79, 291, 17120, 81, 878, 280, 3124, 81, 3651, 77, 42, 10056, 291, 308, 4520, 30, 15609, 27, 280, 447, 4657, 1554, 5108, 39, 2185, 23933, 32, 371, 81, 34078, 81, 678, 26, 2895, 30, 17940, 30, 225, 35, 34, 34, 34, 27, 291, 22333, 265, 280, 12039, 32, 890, 26, 4520, 30, 12039, 32, 4959, 81, 22661, 30, 15609, 27, 291, 1344, 280, 22333, 265, 32, 23226, 26, 1325, 81, 878, 27, 291, 442, 316, 32, 1113, 26, 100, 25, 13644, 106, 34, 35, 15641, 106, 34, 42, 79, 45369, 878, 27, 284, 477, 16099, 284, 665, 18884, 26, 2076, 30, 3882, 711, 291, 17940, 280, 2322, 32, 305, 1911, 26, 42, 27, 291, 9789, 81, 1516, 280, 225, 42, 429, 308, 1657, 26, 2076, 27, 904, 225, 42, 27, 291, 436, 595, 328, 2155, 26, 6126, 81, 1516, 711, 324, 3124, 1454, 21749, 26, 6126, 81, 1516, 27, 291, 308, 4520, 30, 15609, 27, 280, 447, 4657, 1554, 5108, 39, 2185, 23933, 32, 371, 81, 34078, 81, 678, 26, 2895, 30, 17940, 30, 225, 35, 34, 34, 34, 27, 291, 22333, 265, 280, 12039, 32, 890, 26, 4520, 30, 12039, 32, 4959, 81, 22661, 30, 15609, 27, 291, 17120, 81, 878, 280, 22333, 265, 32, 11294, 26, 2076, 27, 291, 442, 1695, 40, 38, 32, 84, 40, 38, 4434, 26, 16306, 474, 17120, 81, 878, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 4, 4, 7, 7, 8, 8, 5, 5, 6, 6, 6, 8, 9, 8, 6, 6, 9, 9, 11, 12, 12, 11, 12, 11, 7, 7, 9, 9, 11, 12, 11, 5, 5, 6, 9, 8, 10, 8, 7, 8, 10, 9, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 8, 8, 7, 7, 10, 10, 9, 10, 10, 10, 10, 9, 10, 9, 5, 5, 7, 7, 9, 9, 8, 10, 8, 5, 5, 8, 8, 7, 7, 9, 9, 8, 10, 9, 5, 5, 9, 8, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 9, 10, 10, 10, 10, 9, 5, 5, 8, 7, 7, 9, 10, 9, 10, 9, 9, 10, 11, 11, 11, 9, 9, 9, 5, 5, 7, 7, 10, 9, 10, 9, 10, 10, 10, 9, 5, 5, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 7, 7, 9, 10, 10, 9, 10, 9, 5, 5, 8, 8, 7, 7, 9, 8, 8, 12, 12, 13, 12, 10, 10, 11, 9, 5, 5, 6, 6, 6, 8, 9, 9, 9, 8, 6, 6, 9, 9, 11, 12, 12, 12, 11, 5, 5, 9, 8, 8, 8, 7, 7, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 9, 9, 10, 10, 10, 10, 9, 5, 5, 8, 7, 7, 9, 10, 9, 10, 9, 9, 10, 11, 11, 11, 9, 9, 9, 5, 5, 8, 8, 7, 7, 10, 9, 10, 9, 10, 9, 5, 5, 6, 9, 9, 8, 9, 9, 9, 9, 8, 10, 9, 9, 10, 10, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 7, 7, 1, 1, 1, 1, 1, 1, 2, 7, 7, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 5, 5, 0, 0, 0, 2, 1, 4, 4, 2, 0, 1, 1, 1, 1, 3, 0, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 6, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 4, 4, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 6, 0, 0, 0, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 21, 203, 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 10938, 3337, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 9101, 81, 1574, 17572, 203, 4021, 81, 2310, 44, 4784, 8522, 907, 30296, 101, 544, 3940, 7578, 3113, 4122, 48593, 32, 203, 2310, 44, 284, 429, 2648, 30, 1974, 461, 3345, 907, 30296, 101, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 34, 20, 203, 2116, 44, 313, 24511, 1309, 488, 7776, 11931, 575, 775, 4731, 203, 2184, 44, 334, 4749, 81, 2468, 44, 284, 3048, 44, 397, 429, 5056, 4600, 2965, 322, 907, 30296, 438, 11012, 372, 32, 284, 2129, 44, 861, 334, 8508, 44, 284, 3048, 44, 397, 429, 3270, 432, 3501, 6652, 1510, 996, 1930, 322, 907, 30296, 436, 32, 397, 429, 11526, 415, 439, 26, 1293, 47, 2689, 547, 334, 8508, 81, 17020, 81, 639, 44, 284, 3048, 44, 397, 429, 8551, 21578, 489, 1102, 15997, 4600, 2965, 436, 322, 907, 30296, 32, 334, 3984, 44, 284, 3048, 44, 397, 429, 8159, 322, 4600, 2965, 438, 5886, 372, 32, 284, 1503, 81, 11043, 44, 313, 36, 32, 36, 20, 334, 43290, 44, 284, 3048, 44, 397, 429, 33545, 322, 3984, 5886, 372, 32, 284, 1503, 81, 11043, 44, 313, 36, 32, 37, 20, 334, 1603, 44, 284, 3048, 44, 397, 429, 5025, 432, 322, 907, 30296, 32, 284, 1244, 44, 5024, 284, 16682, 44, 428, 5024, 30, 40118, 1481, 334, 5880, 44, 284, 3048, 44, 397, 429, 14063, 322, 907, 30296, 438, 5886, 372, 32, 334, 3497, 44, 284, 3048, 44, 397, 429, 9035, 322, 907, 30296, 438, 5886, 372, 32, 334, 2074, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 2074, 322, 907, 30296, 438, 5886, 372, 32, 334, 10790, 44, 284, 3048, 44, 397, 429, 3270, 432, 322, 10790, 328, 1510, 322, 3501, 6652, 438, 328, 32, 397, 429, 1670, 646, 739, 30, 1244, 10790, 438, 1654, 32, 334, 17850, 81, 4396, 44, 284, 3048, 44, 397, 429, 30779, 2498, 13179, 6222, 3992, 1401, 11281, 32, 284, 827, 44, 1560, 284, 1244, 44, 9155, 203, 9971, 81, 10270, 81, 9854, 44, 8668, 3034, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 636, 44, 2648, 312, 907, 30296, 436, 4600, 225, 35, 32, 36, 32, 37, 32, 38, 372, 2676, 34, 35, 334, 2196, 81, 1141, 44, 284, 2297, 44, 9101, 81, 1574, 17572, 284, 4749, 81, 2468, 44, 225, 35, 32, 36, 32, 37, 32, 38, 284, 8508, 44, 2676, 34, 35, 203, 31, 636, 44, 6478, 312, 907, 30296, 334, 2196, 81, 1141, 44, 284, 2297, 44, 9101, 81, 1574, 17572, 284, 4749, 81, 2468, 44, 225, 35, 32, 36, 32, 37, 32, 38, 284, 1603, 44, 40118, 203, 9592, 203, 10934, 280, 5881, 203, 1559, 203, 314, 44, 334, 3048, 44, 14294, 432, 322, 4749, 81, 2468, 32, 334, 4717, 44, 3117, 334, 827, 44, 802, 334, 3964, 44, 312, 40, 88, 41, 83, 39, 3499, 31 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 0, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 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, 0, 3, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 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, 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, 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 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 20654, 30, 1459, 81, 1126, 203, 505, 2559, 32095, 505, 280, 827, 203, 24021, 2893, 280, 540, 9592, 203, 1559, 203, 1647, 44, 5630, 203, 4021, 81, 2310, 44, 15574, 2276, 645, 6562, 5166, 203, 2310, 44, 203, 31, 1348, 2297, 4847, 2124, 488, 26, 2991, 471, 1273, 328, 10156, 32, 203, 31, 2030, 438, 1654, 436, 26857, 2276, 645, 6562, 19908, 461, 21544, 3026, 12568, 328, 312, 803, 4345, 30, 44946, 810, 15871, 32, 203, 31, 11094, 688, 3425, 2307, 821, 439, 26, 3316, 27, 1098, 526, 30799, 415, 2953, 884, 3449, 2784, 322, 439, 26, 1617, 547, 203, 31, 1348, 2297, 438, 2329, 5420, 436, 4017, 11420, 32, 203, 1648, 81, 11043, 44, 330, 34, 32, 36, 25, 203, 2184, 44, 334, 1561, 44, 284, 3048, 44, 284, 429, 886, 803, 544, 322, 6562, 2664, 372, 5630, 32, 284, 429, 1348, 439, 26, 12172, 27, 526, 312, 803, 30, 646, 312, 3362, 32, 284, 429, 47476, 26857, 1631, 526, 5420, 328, 312, 6125, 3621, 32, 284, 2129, 44, 9155, 334, 3466, 44, 284, 3048, 44, 284, 429, 399, 3362, 372, 4131, 322, 803, 1991, 32, 284, 429, 2616, 2280, 30, 415, 322, 439, 26, 3316, 27, 3362, 438, 390, 7009, 10181, 27, 312, 439, 26, 1617, 27, 803, 8189, 390, 7009, 6698, 33, 3959, 27, 544, 3408, 397, 390, 26, 2035, 32, 2763, 32, 508, 471, 2268, 526, 7511, 1991, 390, 7009, 10181, 33, 2035, 32, 2763, 32, 508, 33, 6698, 33, 3959, 547, 397, 886, 3408, 636, 438, 4122, 544, 322, 17041, 636, 32, 284, 2129, 44, 9155, 334, 3547, 81, 267, 81, 9785, 44, 284, 1503, 81, 11043, 44, 330, 35, 32, 35, 25, 284, 3048, 44, 284, 429, 5076, 739, 372, 390, 26, 7134, 471, 322, 2899, 1098, 3547, 415, 322, 6562, 803, 4881, 526, 1491, 436, 1346, 5966, 32, 284, 429, 9148, 271, 372, 35603, 225, 36, 32, 39, 30, 5748, 458, 2268, 1755, 3547, 415, 322, 1914, 803, 1597, 5816, 32, 284, 429, 886, 1244, 1597, 5372, 372, 390, 26, 7134, 27, 328, 35603, 225, 36, 32, 39, 32, 284, 827, 44, 1560, 284, 1244, 44, 9155, 334, 6042, 81, 20967, 44, 284, 1503, 81, 11043, 44, 330, 35, 32, 38, 25, 284, 3048, 44, 284, 429, 12072, 688, 322, 1914, 461, 8050, 19358, 101, 2530, 2685, 322, 2276, 884, 27535, 32, 284, 827, 44, 1560, 284, 1244, 44, 9155, 334, 11913, 44, 284, 1503, 81, 11043, 44, 330, 35, 32, 36, 25, 284, 3048, 44, 284, 429, 30090, 844, 372, 2684, 322, 1244, 5853, 432, 1123, 4013, 15871, 33, 983, 33, 452, 33, 761, 372, 322, 8050, 32, 284, 429, 1670, 390, 26, 3316, 27, 15564, 623, 26610, 561, 1098, 793, 322, 29155, 432, 322, 1914, 803, 30, 6693, 372, 322, 1933, 2297, 32, 284, 429, 1348, 883, 526, 6364, 415, 4740, 623, 312, 3982, 3408, 30, 556, 415, 30627, 2276, 688, 884, 43699, 8189, 1292, 3408, 32, 284, 429, 1670, 1471, 4609, 17758, 623, 322, 2432, 4870, 30, 322, 803, 1098, 526, 30799, 436 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 ]
[ 0, 0, 0, 0, 0, 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 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 8527, 32, 7491, 1188, 11550, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 12023, 32, 12095, 1188, 4549, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 9331, 1188, 1487, 81, 1536, 81, 2851, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 11202, 1188, 7500, 7294, 11063, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 3378, 1188, 13957, 30, 4233, 81, 2851, 81, 2613, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 9698, 1188, 4448, 7294, 203, 1070, 8527, 32, 12023, 32, 12095, 32, 36287, 1188, 622, 81, 1700, 81, 2851, 203, 1070, 8527, 32, 1262, 32, 11452, 1188, 2194, 34747, 30, 40075, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 28771, 1188, 2364, 81, 20119, 203, 1070, 8527, 32, 525, 1188, 26303, 203, 1070, 8527, 32, 858, 1188, 19205, 30, 5351, 81, 3550, 30, 2684, 81, 3550, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 24699, 81, 9362, 203, 50, 15193, 81, 3550, 26, 6585, 45421, 81, 47406, 12516, 1689, 950, 330, 11025, 32, 12023, 32, 12095, 18143, 203, 823, 358, 4137, 5936, 4470, 26, 7233, 711, 284, 6959, 81, 1199, 280, 2933, 284, 665, 14553, 26, 784, 711, 291, 630, 32, 2851, 280, 13957, 26, 324, 804, 47, 3550, 32, 24819, 81, 779, 30, 324, 5880, 347, 2763, 32, 508, 392, 324, 636, 347, 2763, 32, 508, 392, 291, 829, 291, 630, 32, 2851, 32, 2853, 346, 284, 665, 894, 81, 2851, 81, 4018, 26, 784, 711, 291, 309, 280, 13957, 32, 5740, 32, 371, 81, 1700, 346, 291, 630, 32, 25839, 1810, 26, 101, 30, 13957, 27, 291, 309, 32, 2560, 346, 291, 630, 32, 23895, 26, 959, 34747, 30, 13957, 32, 5740, 32, 371, 81, 1700, 27, 284, 665, 894, 81, 2851, 81, 2613, 26, 784, 711, 291, 4755, 280, 13957, 32, 5740, 32, 371, 81, 1700, 346, 291, 630, 32, 5299, 440, 2763, 32, 508, 392, 4755, 32, 426, 27, 291, 309, 36, 280, 13957, 32, 5740, 32, 371, 26, 314, 47, 3550, 32, 24819, 81, 779, 27, 291, 309, 36, 32, 426, 280, 313, 5297, 4755, 20, 291, 309, 36, 32, 2853, 346, 291, 4755, 280, 13957, 32, 5740, 32, 371, 81, 1700, 346, 291, 630, 32, 5299, 440, 5297, 4755, 392, 4755, 32, 426, 27, 284, 665, 894, 81, 2560, 81, 464, 81, 12095, 81, 3815, 101, 81, 2613, 26, 784, 711, 291, 630, 32, 25839, 1810, 26, 7294, 32, 5740, 32, 371, 81, 1700, 1026, 13957, 27, 291, 13957, 32, 5740, 32, 464, 922, 2560, 346, 291, 630, 32, 23895, 26, 7294, 32, 34747, 30, 13957, 32, 5740, 32, 371, 81, 1700, 27, 284, 477, 7106, 81, 3550, 26, 33891, 81, 8472, 69, 11414, 2763, 32, 508, 3490, 284, 665, 894, 81, 371, 81, 1700, 81, 2851, 26, 784, 711, 291, 1326, 280, 26303, 346, 291, 1326, 32, 14254, 280, 301, 324, 313, 8094, 81, 2474, 563, 313, 2763, 32, 508, 392, 324, 313, 8094, 81, 3624, 563, 313, 42, 34, 392, 291, 320, 291, 4755, 280, 622, 81, 1700, 81, 2851 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 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, 1, 1, 3, 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, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 2, 4, 4, 4, 4, 6, 6, 6, 6, 5, 9, 9, 7, 9, 9, 9, 9, 9, 9, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 6, 6, 5, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 9, 7, 7, 9, 9, 9, 10, 12, 11, 12, 12, 12, 9, 9, 9, 10, 12, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 9, 9, 5, 5, 9, 10, 8, 9, 8, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 5, 5, 8, 9, 9, 8, 9, 8, 8, 8, 5, 5, 8, 9, 8, 5, 5, 8, 9, 8, 9, 9, 8, 8, 10, 11, 9, 10, 10, 10, 8, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 9, 5, 5, 8, 9, 8, 10, 10, 10, 10, 8, 9, 10, 8, 5, 5, 8, 7, 7, 10, 11, 9, 10, 9, 11, 10, 12, 11, 12, 12, 12, 9, 5, 5, 9, 8, 9, 7, 7, 9, 9, 9, 5, 5, 9, 8, 9, 8, 5, 5, 7, 7, 10, 11, 9, 10, 10, 10, 9, 5, 5, 8, 9, 8, 10, 10, 10, 8, 9, 10, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 9, 9, 8, 12, 11, 12, 10, 11, 11, 11, 10, 8, 8, 5, 5, 11, 12, 10, 11, 10, 9, 8, 5, 5, 8, 9, 8, 10, 9, 10, 8, 8, 10, 11, 9, 10, 10, 10, 8, 3, 3, 7, 7, 7, 7, 9, 9, 9, 9, 8, 11, 11, 11, 11, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 5, 5, 8, 8, 10, 6, 6, 9, 10, 8, 8, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 10, 12, 12, 12, 9, 9, 6, 6, 8, 8, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 4, 1, 6, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 1, 6, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 9, 9, 0, 10, 10, 1, 2, 1, 4, 1, 6, 10, 10, 0, 0, 0, 11, 11, 1, 2, 11, 11, 0, 12, 12, 1, 2, 12, 12, 12, 12, 0, 0, 12, 12, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 14, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 2, 3, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 3, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 4, 4, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0 ]
[ 9592, 203, 6873, 544, 31457, 225, 34, 38, 30, 225, 36, 34, 35, 42, 203, 50, 2116, 44, 25522, 906, 333, 42198, 906, 32, 6686, 782, 1384, 50, 46524, 32, 329, 32, 269, 48, 203, 9592, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 49093, 1188, 2354, 203, 1070, 49093, 1188, 596, 203, 1070, 49093, 1188, 2155, 203, 465, 7138, 203, 465, 4395, 203, 465, 13092, 203, 1070, 484, 2591, 70, 32, 3604, 32, 4746, 29750, 32, 8366, 81, 12393, 81, 9698, 1188, 7901, 81, 12565, 81, 1070, 81, 12393, 30, 766, 284, 341, 30318, 81, 1357, 81, 19059, 30, 5254, 81, 272, 16416, 81, 1070, 81, 12393, 203, 21947, 81, 10799, 81, 4746, 29750, 81, 1267, 280, 301, 284, 1044, 25, 641, 555, 1499, 32, 4746, 29750, 32, 1088, 33, 6419, 33, 67, 36, 37, 950, 301, 103, 25, 2173, 6419, 950, 1044, 25, 4571, 24729, 624, 34623, 370, 12928, 1044, 25, 2705, 22568, 950, 301, 16329, 330, 965, 950, 330, 641, 555, 1499, 32, 4746, 29750, 32, 1088, 33, 6419, 33, 1653, 44, 66, 37, 43, 370, 16329, 330, 2810, 950, 7316, 17739, 330, 965, 950, 1044, 25, 641, 555, 1499, 32, 4746, 29750, 32, 1088, 33, 6419, 33, 67, 35, 35, 40, 43, 40, 370, 17739, 330, 34555, 81, 5843, 950, 301, 22622, 330, 416, 2340, 950, 1044, 9118, 35, 41, 43, 41, 31, 34, 37, 31, 34, 38, 70, 34, 34, 44, 34, 34, 44, 34, 34, 76, 370, 22622, 330, 1366, 2340, 950, 1044, 9118, 35, 41, 42, 43, 31, 34, 38, 31, 37, 34, 70, 34, 34, 44, 34, 34, 44, 34, 34, 76, 8885, 17739, 330, 5919, 950, 301, 22622, 330, 286, 950, 1044, 25, 2143, 78, 2635, 38, 101, 4840, 3747, 676, 747, 266, 365, 2472, 1258, 83, 17332, 370, 22622, 330, 272, 950, 1044, 25, 11584, 4840, 432, 322, 28882, 18600, 370, 22622, 330, 2173, 950, 1044, 25, 777, 78, 2635, 43, 101, 4840, 3975, 766, 3077, 43, 102, 1966, 31, 1061, 297, 370, 22622, 330, 307, 950, 1044, 25, 14305, 4840, 87, 409, 14164, 5184, 1683, 17352, 8885, 17739, 330, 13678, 81, 314, 950, 1044, 25, 99, 36, 37, 22, 52, 40, 55, 39, 54, 35, 35, 36, 31, 53, 36, 41, 55, 31, 38, 55, 37, 56, 31, 5106, 40, 39, 31, 5411, 35, 36, 52, 43, 37, 40, 38, 34, 43, 36, 8885, 17739, 301, 22622, 330, 965, 950, 1044, 25, 641, 555, 1499, 32, 4746, 29750, 32, 1088, 33, 6419, 33, 67, 35, 35, 35, 39, 35, 36, 41, 370, 22622, 330, 34555, 81, 5843, 950, 301, 32248, 330, 416, 2340, 950, 1044, 9118, 35, 41, 43, 43, 31, 35, 36, 31, 35, 38, 70, 34, 34, 44, 34, 34, 44, 34, 34, 76, 370, 32248, 330, 1366, 2340, 950, 1044, 9118, 35, 41, 43, 42, 31, 34, 41, 31, 35, 37, 70, 34, 34, 44, 34, 34, 44, 34, 34, 76, 8885, 22622, 330, 5919, 950, 301, 32248, 330, 286, 950, 1044, 25, 2019, 299, 6146, 432, 322, 28882, 18600, 5513, 1772, 370, 32248, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 12, 12, 15, 15, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 15, 15, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 10, 10, 13, 13, 11, 12, 12, 15, 15, 13, 15, 15, 16, 16, 16, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 15, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 15, 15, 13, 15, 15, 16, 16, 16, 15, 15, 15, 15, 16, 16, 15, 15, 15, 15, 15, 15, 12, 12, 15, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 10, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 9, 10, 10, 13, 13, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 10, 10, 13, 13, 13, 13, 11, 12, 12, 15, 15, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12, 15, 15, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 10, 10, 13, 13, 11, 12, 12, 15, 15, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 12, 12 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 6, 6, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 5, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 2, 1, 0, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 5, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 7, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 2, 2, 1, 1, 2, 1, 0, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 2, 5, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2 ]
[ 1070, 1869, 329, 393, 3724, 32, 2282, 32, 100, 12699, 1335, 1188, 1245, 81, 2811, 203, 1070, 1869, 329, 393, 3724, 32, 1786, 1188, 540, 12699, 3553, 203, 1070, 1869, 329, 393, 3724, 32, 1786, 32, 100, 12699, 6508, 1188, 8073, 1711, 203, 505, 100, 12699, 1358, 505, 280, 2107, 6285, 785, 203, 589, 5625, 26, 1786, 606, 30, 2125, 606, 30, 32609, 81, 1945, 47, 34, 711, 284, 1245, 81, 2811, 26, 37, 27, 284, 7603, 280, 1524, 291, 2192, 36854, 32, 1835, 81, 11256, 30, 36854, 32, 104, 33419, 30, 36854, 32, 12154, 81, 2929, 30, 14283, 32, 4984, 81, 965, 30, 3083, 36854, 32, 5866, 81, 1786, 30, 36854, 32, 5866, 81, 496, 30, 36854, 32, 5866, 81, 4617, 616, 645, 540, 12699, 1711, 1658, 8245, 36854, 2607, 2154, 36854, 32, 1141, 81, 314, 280, 499, 1141, 81, 314, 2993, 284, 420, 280, 540, 12699, 3553, 32, 9266, 26, 9849, 27, 284, 420, 32, 4526, 26, 1141, 81, 314, 47, 1141, 606, 27, 284, 2698, 280, 420, 32, 5140, 658, 81, 2665, 346, 284, 415, 646, 2698, 44, 291, 3636, 8073, 1711, 440, 893, 32, 6285, 44, 3139, 1778, 2431, 436, 2125, 804, 313, 1014, 5461, 101, 461, 2145, 904, 101, 20, 904, 308, 1141, 606, 30, 2145, 606, 490, 284, 436, 1202, 328, 2107, 4984, 81, 965, 370, 330, 5866, 81, 1786, 370, 330, 5866, 81, 496, 370, 330, 5866, 81, 4617, 370, 330, 12154, 81, 2929, 12132, 291, 415, 2698, 77, 678, 79, 438, 1665, 44, 324, 2698, 77, 678, 79, 280, 3330, 284, 2803, 280, 301, 291, 313, 4984, 2413, 563, 2698, 710, 4984, 81, 965, 2188, 291, 313, 5866, 2963, 563, 3447, 5866, 2413, 563, 2698, 710, 5866, 81, 1786, 2188, 313, 5866, 1240, 563, 2698, 710, 5866, 81, 496, 2188, 313, 5866, 6129, 563, 2698, 710, 5866, 81, 4617, 785, 835, 291, 313, 1835, 12593, 563, 2698, 710, 1835, 81, 11256, 2188, 291, 313, 104, 2955, 2337, 563, 2698, 710, 104, 33419, 2188, 291, 313, 4116, 558, 563, 4320, 291, 313, 18321, 13483, 563, 2698, 710, 12154, 81, 2929, 26830, 284, 442, 308, 2132, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 0, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 5, 5, 5, 6, 5, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 7, 7, 6, 7, 6, 7, 6, 2, 2, 5, 6, 5, 7, 7, 7, 6, 7, 7, 5, 2, 2, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 3, 4, 3, 3, 3, 5, 7, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 9, 10, 9, 2, 2, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 5, 7, 8, 7, 6, 6, 5, 5, 5, 9, 10, 9, 8, 8, 2, 2, 4, 4, 5, 5, 8, 8, 8, 6, 7, 9, 9, 9, 9, 5, 5, 8, 8, 8, 6, 10, 10, 10, 8, 9, 11, 11, 11, 11, 7, 10, 10, 10, 8, 9, 11, 11, 11, 11, 7, 10, 10, 10, 8, 9, 11, 11, 11, 11, 7, 5, 5, 8, 8, 8, 6, 7, 9, 9, 9, 9, 5, 5, 8, 8, 8, 8, 6, 7, 9, 9, 9, 5, 5, 8, 8, 8, 6, 5, 5, 8, 8, 8, 6, 7, 9, 9, 9, 9, 2, 2, 3, 5, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 4, 4, 2, 1, 1, 2, 2, 3, 2, 2, 0, 0, 5, 2, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 5, 1, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 2, 4, 4, 6, 6, 6, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 1, 2, 6, 6, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 4, 4, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 3, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 3, 2, 1, 1, 1, 2, 2, 1, 1, 2, 5, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 5, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 7, 2, 1, 1, 2, 2, 2, 1, 1, 2, 9, 2, 2, 1, 1, 2, 11, 2, 1, 1, 1, 2, 4, 4, 8, 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 ]
[ 505, 13411, 505, 280, 3941, 606, 44, 47921, 32, 978, 30, 104, 225, 35, 32, 39, 225, 36, 34, 34, 36, 33, 34, 41, 33, 36, 39, 225, 35, 41, 44, 35, 43, 44, 34, 36, 1288, 37, 98, 9665, 17512, 203, 465, 802, 203, 589, 617, 466, 17316, 26, 101, 35, 30, 309, 36, 711, 284, 442, 34873, 2524, 26, 1110, 26, 5962, 816, 30, 533, 44, 21749, 26, 655, 26, 106, 27, 5304, 16167, 26, 107, 3662, 309, 35, 30, 309, 36, 490, 203, 13995, 81, 891, 280, 1665, 203, 823, 47921, 44, 284, 665, 1156, 1664, 3207, 784, 30, 1202, 30, 3124, 280, 1665, 30, 19272, 1803, 280, 1665, 711, 291, 415, 19272, 1803, 610, 1665, 44, 324, 645, 638, 1188, 8735, 39, 324, 19272, 1803, 280, 8735, 39, 291, 630, 32, 13995, 1803, 280, 19272, 1803, 291, 630, 32, 11925, 280, 19272, 1803, 32, 890, 346, 291, 630, 32, 3369, 280, 19272, 1803, 32, 890, 346, 291, 1596, 44, 324, 630, 32, 13995, 81, 891, 280, 19272, 1803, 32, 13995, 81, 891, 291, 2940, 29316, 44, 324, 630, 32, 13995, 81, 891, 280, 2069, 26, 784, 32, 11925, 32, 13995, 1157, 291, 2163, 891, 280, 225, 40, 38, 291, 4749, 339, 280, 2706, 106, 37, 40, 20, 319, 2163, 891, 291, 3089, 339, 280, 2706, 106, 39, 53, 20, 319, 2163, 891, 291, 415, 2069, 26, 678, 27, 848, 2163, 891, 44, 324, 1202, 280, 19272, 1803, 32, 890, 26, 678, 547, 13995, 346, 291, 1202, 280, 1202, 474, 21749, 26, 34, 27, 319, 308, 1521, 891, 429, 2069, 26, 678, 490, 291, 630, 32, 11925, 32, 1877, 2176, 466, 17316, 26, 678, 30, 3089, 339, 490, 291, 630, 32, 3369, 32, 1877, 2176, 466, 17316, 26, 678, 30, 4749, 339, 490, 291, 415, 308, 2076, 711, 324, 630, 32, 1877, 26, 2076, 27, 284, 665, 1974, 26, 784, 30, 3124, 711, 291, 630, 32, 3369, 32, 1877, 26, 2076, 27, 284, 665, 1933, 26, 784, 711, 291, 1604, 280, 47921, 17987, 291, 1604, 32, 13995, 1803, 280, 630, 32, 13995, 1803, 291, 1604, 32, 3369, 280, 630, 32, 3369, 32, 2991, 346, 291, 1604, 32, 11925, 280, 630, 32, 11925, 32, 2991, 346, 291, 442, 1604, 284, 665, 19272, 26, 784, 711, 291, 420, 280, 630, 32, 11925, 32, 2991, 346, 291, 420, 32, 1877, 26, 784, 32, 3369, 32, 13995, 1157, 291, 442, 420, 32, 13995, 346, 284, 665, 9960, 13995, 26, 784, 711, 291, 442, 34873, 2524, 2009, 800, 32, 108, 4157, 26, 6949, 26, 655, 26, 106, 29856, 36, 23751, 225, 36, 27, 715, 436, 816, 328, 8825, 26, 784, 32, 13995, 1157, 1130, 203, 589, 537, 26, 678, 30, 3124, 280, 1665, 30, 19272, 1803, 280, 1665, 711, 284, 442, 47921, 26, 678, 30, 3124, 30, 19272, 1803, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 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, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 3, 6, 5, 7, 7, 8, 8, 9, 9, 8, 8, 10, 13, 13, 14, 13, 11, 11, 13, 14, 13, 7, 8, 7, 7, 8, 7, 0, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 5, 5, 4, 3, 3, 5, 7, 6, 6, 5, 5, 5, 7, 7, 7, 9, 6, 6, 9, 8, 8, 9, 4, 4, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 9, 8, 9, 8, 4, 4, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 9, 10, 10, 10, 5, 5, 6, 6, 6, 6, 10, 11, 11, 11, 9, 9, 11, 15, 14, 15, 13, 14, 13, 4, 4, 7, 6, 6, 7, 7, 4, 4, 7, 6, 6, 10, 10, 10, 9, 7, 7, 8, 4, 4, 7, 6, 6, 10, 10, 10, 9, 7, 7, 8, 4, 4, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 8, 8, 13, 12, 13, 12, 13, 12, 11, 10, 4, 4, 6, 6, 7, 7, 10, 11, 10, 8, 8, 11, 11, 10, 10, 12, 13, 12, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 10, 9, 9, 10, 9, 4, 4, 8, 9, 7, 8, 7, 9, 9, 9, 10, 9, 9, 10, 9, 4, 4, 5, 7, 6, 5, 5, 9, 10, 9, 10, 9, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 7, 8, 8, 6, 6, 7, 8, 8, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 8, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 8, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 9, 4, 4, 5, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 7, 11, 10, 11, 11, 10, 13, 13, 15, 15, 16, 15, 13, 12, 10, 11, 10, 8, 8, 9, 9, 9, 11, 14, 13, 14, 13, 8, 0, 1, 1, 2, 3, 2, 2, 3, 3, 2, 2, 4, 3, 3, 2, 1, 1, 3, 5, 6, 5, 5, 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 ]
[ 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, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 0, 7, 7, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 2, 1, 4, 4, 4, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 3, 3, 3, 3, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 8, 1, 1, 1, 1, 1, 2, 8, 8, 8, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 12, 1, 1, 12, 12, 0, 2, 1, 1, 1, 3, 3, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 3, 3, 2, 2, 1, 2, 2, 2, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 1, 4, 4, 4, 3, 3, 3, 2, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 1, 4, 4, 2, 0, 2, 1, 3, 3, 4, 1, 2, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 3, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 5, 5, 2, 1, 2, 2, 3, 3, 2, 2, 0, 5, 5, 2, 5, 5, 0, 1, 1, 1, 1, 1, 1, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 2322, 315, 81, 1163, 1188, 8444, 203, 1070, 34856, 32, 4882, 32, 18651, 32, 104, 37, 1188, 894, 81, 13547, 203, 14594, 280, 8444, 32, 14594, 203, 14594, 32, 465, 81, 2215, 463, 500, 1237, 81, 7924, 81, 6728, 370, 400, 330, 31205, 32, 1237, 32, 26878, 32, 7924, 32, 9081, 683, 203, 823, 24683, 2059, 5086, 2526, 1006, 26, 858, 81, 13547, 32, 21389, 5197, 1761, 711, 284, 5016, 81, 426, 280, 313, 500, 31, 17042, 31, 1786, 31, 5843, 20, 284, 6717, 81, 9081, 81, 452, 81, 944, 280, 3037, 500, 31, 3560, 31, 9510, 1446, 284, 617, 1237, 81, 1648, 280, 330, 104, 36, 25, 284, 665, 617, 371, 81, 4545, 26, 784, 711, 291, 296, 280, 2599, 26, 14861, 2059, 5086, 2526, 1006, 30, 630, 42690, 371, 81, 4545, 346, 291, 296, 710, 500, 1237, 81, 7924, 81, 6728, 785, 280, 45623, 32, 500, 1237, 81, 7924, 81, 6728, 31445, 291, 296, 710, 500, 1237, 81, 7924, 81, 6728, 5695, 1689, 26, 324, 330, 31205, 32, 1237, 32, 26878, 32, 7924, 32, 12023, 32, 678, 16564, 32, 953, 16564, 683, 291, 296, 710, 500, 1237, 81, 7924, 81, 6728, 5695, 1689, 26, 324, 330, 31205, 32, 1237, 32, 26878, 32, 7924, 32, 12023, 32, 17042, 81, 9510, 32, 14861, 81, 9510, 683, 291, 296, 710, 500, 1237, 81, 7924, 81, 6728, 5695, 1689, 26, 324, 330, 31205, 32, 1237, 32, 26878, 32, 7924, 32, 12023, 32, 17042, 81, 9510, 81, 4229, 4564, 324, 330, 14861, 81, 9510, 81, 4229, 683, 291, 296, 710, 500, 1237, 81, 7924, 81, 6728, 5695, 1689, 26, 324, 330, 31205, 32, 1237, 32, 26878, 32, 7924, 32, 12023, 32, 17042, 81, 1786, 81, 5843, 4564, 324, 330, 14861, 81, 1786, 81, 5843, 683, 291, 442, 296, 284, 665, 894, 81, 2245, 26, 784, 711, 291, 11171, 280, 630, 1114, 1526, 81, 1786, 346, 291, 1789, 280, 630, 1114, 1409, 81, 371, 463, 13547, 9708, 101, 25, 904, 11171, 27, 291, 30034, 280, 630, 1114, 371, 81, 7920, 307, 346, 291, 30034, 710, 2035, 314, 785, 280, 13198, 83, 31, 88, 34, 31, 43, 6155, 25, 291, 30034, 710, 314, 785, 280, 11171, 291, 30034, 710, 2386, 81, 426, 785, 280, 330, 2386, 15641, 86, 109, 42, 8129, 291, 30034, 710, 7782, 12376, 81, 12256, 785, 280, 540, 25, 13644, 105, 78, 5327, 31, 6155, 25, 291, 30034, 710, 3560, 81, 639, 81, 104, 38, 785, 280, 330, 35, 32, 36, 32, 37, 32, 38, 25, 291, 30034, 710, 3560, 81, 639, 81, 104, 40, 785, 280, 330, 42, 34, 1225, 403, 25, 291, 630, 1114, 6967, 81, 1986, 463, 1786, 31, 371, 31, 5243, 370, 30034, 30, 1789, 30, 225, 36, 34, 34, 27, 284, 665, 894, 81, 5110, 26, 784, 711, 291, 11171, 280, 630, 1114, 1526, 81, 1786, 346, 291, 1789, 280, 630, 1114, 1409, 81, 371, 463, 13547, 33, 5110, 683, 291, 30034, 280, 630, 1114, 371, 81, 7920, 307, 346, 291, 30034, 710, 2035, 314, 785, 280, 13198, 83, 31, 88, 34, 31, 43, 6155, 25, 291, 30034 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 3, 2, 2, 3, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 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, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 9, 9, 9, 9, 9, 9, 7, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 8, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 8, 10, 10, 10, 10, 10, 10, 10, 8, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 11, 11, 11, 11, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 7, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 9, 9, 6, 6, 4, 4, 7, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 4, 4, 7, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 8, 10, 10, 10, 10, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 4, 4, 7, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 6, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 3, 1, 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, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 6, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 2, 0, 0, 4, 4, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 7, 7, 7, 1, 4, 4, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4 ]
[ 465, 30902, 619, 4257, 203, 1070, 30902, 32, 407, 1188, 4497, 26240, 203, 1070, 30902, 32, 407, 32, 24576, 668, 1188, 19404, 81, 668, 203, 1070, 30902, 1188, 46474, 203, 1070, 30902, 1188, 5365, 203, 1070, 1168, 33367, 32, 1199, 1188, 1542, 81, 1439, 203, 1070, 1168, 33367, 32, 26878, 32, 2282, 1188, 11171, 2304, 203, 268, 9281, 81, 11278, 280, 301, 284, 330, 19838, 10983, 950, 330, 10983, 370, 284, 330, 42759, 81, 12623, 950, 330, 12623, 370, 284, 330, 42759, 81, 37406, 625, 81, 15910, 950, 330, 37406, 625, 81, 15910, 370, 284, 330, 42759, 81, 28851, 81, 16669, 950, 330, 99, 13500, 370, 284, 330, 10185, 81, 4573, 81, 15910, 950, 330, 9692, 98, 81, 4573, 81, 15910, 370, 284, 330, 6844, 81, 6385, 81, 24770, 950, 330, 9692, 98, 81, 6844, 81, 6385, 81, 24770, 370, 284, 330, 1299, 81, 32417, 950, 330, 96, 1660, 81, 1299, 81, 32417, 370, 284, 330, 1299, 81, 11458, 81, 5785, 81, 9387, 950, 330, 96, 1660, 81, 1299, 81, 11458, 81, 5785, 81, 9387, 370, 284, 330, 5785, 81, 5634, 81, 9387, 950, 330, 96, 1660, 81, 5785, 81, 5634, 81, 9387, 370, 284, 330, 19838, 81, 94, 36, 4722, 81, 9387, 950, 330, 96, 1660, 81, 19838, 81, 94, 36, 4722, 81, 9387, 370, 284, 330, 625, 81, 9387, 950, 330, 96, 1660, 81, 625, 81, 9387, 370, 284, 330, 5785, 10983, 81, 9387, 950, 330, 96, 1660, 81, 5785, 10983, 81, 9387, 370, 203, 111, 203, 7595, 81, 6169, 280, 225, 37, 40, 203, 2378, 81, 6169, 280, 225, 36, 39, 39, 203, 53, 1296, 1197, 81, 21170, 69, 81, 20568, 81, 2319, 81, 4130, 927, 280, 330, 25438, 25, 203, 53, 1296, 1197, 81, 21170, 69, 81, 20568, 81, 2319, 81, 9425, 9659, 280, 330, 12696, 25, 203, 53, 1296, 1197, 81, 21170, 69, 81, 20568, 81, 2319, 81, 1310, 22756, 280, 330, 28608, 25, 203, 53, 1296, 1197, 81, 21170, 69, 81, 20568, 81, 2319, 81, 18174, 81, 38814, 280, 330, 6844, 31, 8708, 25, 203, 53, 1296, 1197, 81, 21170, 69, 81, 20568, 280, 330, 4573, 25, 203, 53, 1296, 1197, 81, 21170, 69, 81, 27571, 280, 330, 6038, 25, 203, 53, 1296, 1197, 81, 21170, 69, 81, 32986, 4516, 81, 779, 81, 3908, 81, 2695, 280, 330, 32986, 4516, 81, 779, 81, 3908, 81, 2695, 25, 203, 17231, 81, 21448, 81, 6169, 280, 225, 38, 34, 43, 39, 203, 25230, 1102, 81, 15644, 280, 330, 4382, 25, 203, 29784, 40, 81, 3898, 24805, 280, 330, 2003, 25908, 25, 203, 17416, 2955, 72, 40, 81, 26273, 280, 330, 25560, 104, 40, 31, 1293, 2790, 25, 203, 17416, 2955, 72, 40, 81, 6103, 20374, 280, 330, 25560, 104, 40, 31, 1293, 2274, 25, 203, 6177, 72, 36, 280, 4497, 26240, 32, 4214, 26240, 81, 1439, 26, 6933, 47, 1160, 81, 1439, 32, 6515, 33367, 1761, 72, 36, 27, 203, 823, 9806, 16897, 26, 1473, 711, 284, 17086, 81, 314, 280, 4257, 32, 2137, 26, 2496, 32, 652, 26, 36, 39, 39, 490, 203, 823, 9806, 606, 26 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 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, 6, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 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, 6, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 5, 4, 5, 5, 5, 5, 4, 6, 5, 7, 7, 7, 6, 7, 7, 7, 7, 7, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 9, 8, 9, 8, 9, 9, 9, 8, 0, 1, 1, 2, 2 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 17, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 21, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 23, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 23, 23, 1, 2, 1, 2, 23, 23, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 24, 24, 1, 2 ]
[ 465, 7138, 203, 465, 40946, 203, 465, 2322, 203, 465, 5624, 203, 1070, 337, 452, 1295, 1188, 12388, 619, 337, 1393, 5353, 203, 1070, 337, 452, 1295, 1188, 3973, 30, 6141, 30, 4527, 203, 1070, 337, 18321, 81, 3483, 81, 5522, 1188, 12388, 619, 337, 5522, 5486, 203, 1070, 337, 18321, 81, 5522, 81, 1356, 1188, 7496, 203, 1070, 337, 18321, 81, 3483, 81, 5522, 1188, 4527, 619, 337, 5522, 1040, 203, 589, 29702, 95, 711, 284, 442, 40946, 32, 86, 33170, 26, 1436, 47, 95, 30, 5880, 1057, 42336, 31, 3483, 31, 5522, 683, 203, 50, 1040, 32, 1358, 203, 823, 11028, 26, 2796, 32, 4152, 1761, 711, 284, 443, 3036, 4631, 4316, 26, 6554, 32, 4316, 1308, 711, 291, 617, 4530, 5357, 81, 4613, 81, 14137, 280, 308, 324, 337, 5522, 5486, 32, 974, 15558, 32, 26779, 24879, 81, 28137, 81, 75, 2347, 81, 4530, 5357, 30, 324, 337, 5522, 5486, 32, 974, 15558, 32, 26779, 24879, 81, 28137, 81, 11679, 56, 81, 4530, 5357, 30, 291, 829, 291, 665, 617, 2029, 2062, 4631, 26, 784, 711, 324, 8844, 280, 2149, 324, 1795, 280, 2149, 324, 436, 1503, 809, 81, 668, 81, 761, 328, 630, 1114, 4530, 5357, 81, 4613, 81, 14137, 44, 400, 8844, 77, 1648, 809, 81, 668, 81, 761, 79, 280, 3177, 400, 1795, 77, 1648, 809, 81, 668, 81, 761, 79, 280, 1605, 400, 415, 2322, 32, 983, 32, 4658, 26, 1648, 809, 81, 668, 81, 761, 711, 528, 623, 2156, 26, 1648, 809, 81, 668, 81, 761, 30, 330, 100, 683, 619, 296, 44, 715, 436, 1628, 328, 296, 32, 850, 922, 2998, 4446, 2262, 1014, 2431, 280, 3177, 1014, 436, 5257, 328, 630, 32, 9236, 77, 1378, 337, 5522, 5486, 32, 5735, 63, 4496, 290, 6052, 32, 4530, 81, 5357, 81, 13387, 1014, 1481, 44, 1378, 415, 1628, 32, 1809, 26, 5607, 27, 863, 429, 35, 44, 1891, 2431, 280, 2933, 1891, 1626, 1014, 415, 646, 2431, 44, 1378, 1795, 77, 1648, 809, 81, 668, 81, 761, 997, 1689, 26, 928, 27, 1014, 813, 44, 1378, 8844, 77, 1648, 809, 81, 668, 81, 761, 79, 280, 2933, 324, 442, 308, 10454, 30, 1795, 27, 291, 477, 2433, 291, 665, 4706, 26, 784, 711, 324, 442, 630, 1114, 2544, 32, 9236, 291, 665, 1156, 1664, 3207, 784, 30, 2935, 711, 324, 630, 1114, 2544, 280, 2935, 324, 630, 1114, 10181, 280, 2149, 291, 665, 1156, 466, 3207, 784, 711, 324, 442, 26155, 2062, 15105, 11725, 657, 291, 665, 11656, 26, 784, 711, 324, 415, 646, 630, 1114, 2544, 1114, 6565, 44, 400, 442, 324, 8844, 30, 1795, 280, 630, 1114, 2029, 2062, 4631, 346, 324, 436, 1503, 809, 81, 668, 81, 761, 328, 630, 1114, 4530, 5357, 81, 4613, 81, 14137, 44, 400, 415, 8844, 77, 1648, 809, 81, 668, 81, 761, 2786, 528, 630, 1114, 10181, 77, 1648, 809, 81, 668, 81, 761, 79, 280, 6611, 101, 15231, 101, 25, 904, 308, 715, 1503, 809, 81, 668, 81, 761, 30, 715, 7138, 32, 6665, 32, 2174, 922, 20834, 15339, 75, 23, 95, 23, 86 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 1, 1, 3, 5, 6, 6, 5, 7, 6, 7, 5, 5, 6, 8, 8, 8, 8, 8, 8, 0, 2, 4, 3, 4, 1, 2, 2, 3, 5, 4, 5, 5, 3, 2, 2, 4, 5, 5, 5, 7, 6, 7, 7, 5, 4, 4, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 11, 11, 10, 11, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 11, 11, 10, 11, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 5, 5, 6, 7, 7, 7, 7, 8, 7, 6, 6, 9, 9, 7, 7, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 8, 8, 12, 13, 13, 13, 13, 13, 13, 12, 11, 11, 9, 9, 12, 13, 13, 13, 13, 13, 13, 12, 11, 11, 9, 9, 10, 13, 14, 12, 13, 12, 13, 13, 13, 13, 13, 13, 12, 10, 10, 12, 17, 18, 18, 18, 18, 18, 18, 17, 17, 19, 19, 15, 15, 12, 12, 12, 14, 14, 14, 18, 19, 18, 17, 17, 16, 14, 14, 17, 17, 15, 15, 16, 16, 16, 18, 19, 17, 17, 17, 20, 20, 19, 20, 20, 20, 20, 20, 18, 19, 19, 19, 19, 19, 17, 17, 16, 16, 16, 18, 21, 22, 21, 22, 21, 19, 19, 21, 18, 18, 18, 21, 21, 19, 19, 15, 15, 16, 17, 16, 16, 16, 21, 22, 22, 22, 22, 22, 22, 21, 21, 20, 21, 20, 16, 16, 17, 17, 17, 21, 22, 22, 22, 22, 22, 22, 21, 20, 20, 7, 7, 8, 10, 9, 9, 9, 5, 5, 8, 6, 6, 7, 8, 9, 8, 7, 7, 9, 11, 12, 10, 11, 5, 5, 6, 7, 7, 8, 7, 7, 7, 6, 6, 10, 11, 9, 9, 7, 7, 10, 11, 9, 9, 5, 5, 6, 7, 7, 8, 7, 6, 6, 8, 12, 12, 12, 12, 5, 5, 6, 7, 8, 7, 6, 6, 8, 9, 11, 12, 10, 11, 8, 8, 8, 7, 7, 10, 10, 9, 9, 11, 12, 12, 12, 11, 7, 7, 8, 9, 9, 9, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 11, 12, 12, 12, 12, 12, 12, 11, 10, 10, 15, 16, 14, 15, 15, 15, 15, 15, 15, 14, 13, 13, 16, 16, 16, 16, 14, 14, 15, 15, 16, 16, 16, 16, 16, 15, 15, 15, 20, 21, 19, 20, 19, 18, 17, 19, 19, 19, 19, 19 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 3, 3, 2, 2, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 3, 3, 2, 2, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 3, 3, 2, 2, 0, 9, 9, 1, 2, 9, 9, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 10, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 5, 5, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 5, 5, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 5, 5, 1, 1, 1, 0, 2, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 3, 5, 5, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 4, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 3, 1, 1, 1, 1, 4, 4, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 4, 4, 5, 2, 1, 2, 5, 5, 0, 1, 0, 2, 1, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1 ]
[ 465, 2322, 203, 32860, 280, 2322, 32, 12757, 32, 371, 463, 66, 3674, 1197, 7649, 36, 81, 3765, 1996, 370, 330, 39238, 331, 2323, 36, 81, 858, 683, 203, 1199, 2035, 280, 2322, 32, 12757, 32, 371, 463, 66, 3674, 1197, 7649, 36, 81, 3765, 1996, 81, 8472, 370, 1665, 27, 203, 1199, 625, 280, 2322, 32, 12757, 32, 371, 463, 66, 3674, 1197, 7649, 36, 81, 3765, 1996, 81, 3624, 370, 1665, 27, 203, 1199, 496, 280, 2322, 32, 12757, 32, 371, 463, 66, 3674, 1197, 7649, 36, 81, 3765, 1996, 81, 4975, 370, 1665, 27, 203, 1199, 4617, 280, 2322, 32, 12757, 32, 371, 463, 66, 3674, 1197, 7649, 36, 81, 3765, 1996, 81, 13001, 370, 1665, 27, 203, 22077, 81, 47582, 280, 2322, 32, 12757, 32, 371, 463, 66, 3674, 1197, 7649, 36, 81, 3765, 81, 42446, 81, 4135, 64, 370, 284, 313, 32860, 47, 39238, 331, 2323, 36, 81, 858, 26347, 47, 35, 657, 203, 6555, 280, 2322, 32, 12757, 32, 371, 463, 66, 3674, 1197, 7649, 36, 81, 3765, 81, 23964, 370, 1665, 27, 203, 325, 9733, 44, 284, 415, 9733, 610, 330, 35, 950, 291, 645, 29252, 331, 2323, 36, 32, 20915, 1188, 4465, 81, 1613, 619, 4465, 81, 4383, 284, 4348, 9733, 610, 330, 1567, 730, 950, 291, 645, 1692, 730, 32, 3592, 32, 39238, 331, 2323, 36, 81, 2675, 265, 1188, 1692, 730, 81, 1684, 81, 4383, 766, 324, 619, 4465, 81, 4383, 284, 813, 44, 291, 3636, 10091, 440, 20633, 739, 330, 66, 3674, 1197, 7649, 36, 81, 3765, 81, 23964, 25, 372, 312, 2080, 786, 657, 284, 1188, 29252, 331, 2323, 36, 32, 9081, 284, 29252, 331, 2323, 36, 32, 9081, 32, 470, 81, 1684, 81, 4383, 26, 1684, 81, 4383, 27, 203, 47582, 280, 330, 32860, 6132, 101, 25, 904, 3082, 426, 203, 325, 3082, 2035, 438, 646, 1665, 44, 284, 343, 4636, 1454, 330, 3408, 6132, 101, 25, 904, 3082, 2035, 203, 325, 3082, 625, 438, 646, 1665, 44, 284, 343, 4636, 1454, 330, 2601, 6132, 101, 25, 904, 3082, 625, 203, 325, 3082, 496, 438, 646, 1665, 44, 284, 343, 4636, 1454, 330, 1256, 6132, 101, 25, 904, 3082, 496, 203, 325, 3082, 4617, 438, 646, 1665, 44, 284, 343, 4636, 1454, 330, 3882, 6132, 101, 25, 904, 3082, 4617, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 5, 6, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 0, 1, 1, 1, 1, 1, 3, 4, 4, 6, 6, 3, 3, 5, 7, 7, 7, 6, 7, 5, 5, 8, 8, 6, 6, 7, 7, 3, 3, 4, 5, 5, 7, 7, 7, 4, 4, 6, 8, 7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 9, 9, 9, 9, 9, 7, 8, 7, 7, 8, 8, 3, 3, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 3, 5, 5, 5, 4, 5, 2, 2, 7, 7, 7, 6, 7, 5, 6, 6, 6, 6, 6, 5, 6, 6, 6, 5, 0, 3, 2, 2, 5, 5, 5, 5, 3, 3, 4, 0, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 4, 4, 7, 7, 7, 7, 5, 5, 6, 0, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 4, 4, 7, 7, 7, 7, 5, 5, 6, 0, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 4, 4, 7, 7, 7, 7, 5, 5, 6, 0, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 4, 4, 7, 7, 7, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 8, 8, 8, 8, 8, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 3, 3, 2, 2, 0, 0, 4, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 3, 1, 3, 3, 3, 3, 0, 0, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 0, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 10, 10, 0, 1, 1, 1, 10, 10, 10, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 11, 11, 0, 1, 1, 1, 11, 11, 11, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 12, 12, 0, 1, 1, 1, 12, 12, 12, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 13, 13, 0, 1, 1, 1, 13, 13, 13, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 21, 225, 45477, 62, 21, 27343, 16259, 21, 75, 757, 373, 42406, 203, 589, 622, 81, 771, 9701, 81, 314, 26, 1935, 44, 596, 27, 967, 596, 44, 284, 1524, 261, 442, 42406, 32, 954, 39, 26, 1935, 32, 5729, 922, 4434, 4251, 6949, 13995, 346, 203, 589, 622, 81, 496, 81, 771, 9701, 81, 314, 26, 496, 44, 1300, 27, 967, 596, 44, 284, 1524, 225, 415, 1256, 461, 1256, 32, 1935, 44, 291, 442, 622, 81, 771, 9701, 81, 314, 26, 496, 32, 1935, 27, 284, 442, 1665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 2, 2, 3, 3, 3, 3, 3, 3, 5, 4, 4, 3, 2, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 3, 4, 4, 5, 6, 3, 2, 2, 4, 6, 6, 6, 6, 6, 6, 8, 7, 8, 6, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 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, 6, 6, 6, 2, 2, 2, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8527, 32, 12023, 32, 21031, 32, 1199, 32, 3378, 32, 4151, 1188, 21461, 1176, 203, 1070, 8527, 32, 1199, 32, 2304, 1188, 11950, 279, 924, 203, 1070, 8527, 32, 1199, 32, 11514, 32, 7534, 32, 3968, 1188, 6716, 3694, 4822, 203, 4073, 280, 5741, 32, 10579, 463, 11025, 32, 12023, 32, 21031, 683, 203, 823, 15894, 31611, 3694, 4822, 26, 3954, 3694, 4822, 711, 284, 5552, 81, 669, 81, 20847, 81, 1055, 280, 330, 6037, 7856, 722, 5796, 18178, 18147, 1055, 27, 101, 5701, 18147, 1274, 27, 101, 7846, 26, 2592, 27, 101, 9905, 284, 5552, 81, 3798, 81, 20847, 81, 1055, 280, 330, 12464, 18178, 18147, 1055, 27, 101, 5701, 18147, 1274, 27, 101, 25, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 14693, 31611, 3694, 4822, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 10119, 81, 2602, 280, 1605, 284, 665, 7116, 81, 1536, 26, 784, 30, 1600, 711, 291, 442, 308, 324, 2599, 26, 14693, 31611, 3694, 4822, 30, 630, 547, 5961, 81, 1536, 26, 1495, 27, 556, 324, 6937, 26, 1495, 30, 21461, 1176, 27, 291, 829, 284, 665, 2623, 81, 2602, 26, 784, 30, 1542, 30, 1600, 30, 2305, 81, 1536, 47, 2700, 711, 291, 2623, 81, 2602, 280, 2599, 26, 14693, 31611, 3694, 4822, 30, 630, 547, 2592, 81, 2602, 26, 1160, 30, 1600, 30, 2305, 81, 1536, 27, 291, 415, 6937, 26, 1495, 30, 21461, 1176, 27, 461, 1600, 32, 20847, 81, 1055, 461, 646, 1600, 32, 1693, 44, 324, 2678, 96, 280, 630, 32, 3841, 32, 4156, 32, 7345, 81, 426, 324, 3082, 81, 1274, 280, 1542, 1114, 2859, 32, 1199, 81, 1274, 324, 630, 32, 10119, 81, 2602, 32, 1689, 26, 400, 630, 32, 2602, 81, 669, 81, 20847, 81, 1055, 904, 301, 528, 330, 1055, 950, 2678, 96, 26, 784, 1114, 1297, 81, 20847, 81, 1055, 81, 426, 26, 1160, 30, 1600, 3662, 528, 330, 1274, 950, 2678, 96, 26, 1199, 81, 1274, 471, 528, 330, 2592, 950, 2678, 96, 26, 1495, 32, 2592, 471, 400, 320, 324, 829, 291, 442, 2623, 81, 2602, 284, 665, 1487, 81, 1160, 26, 784, 30, 1542, 711, 291, 2599, 26, 14693, 31611, 3694, 4822, 30, 630, 547, 1297, 81, 1160, 26, 1160, 27, 291, 630, 32, 1297, 81, 20847, 81, 18713, 346, 284, 665, 1015, 81, 1495, 26, 784, 30, 1542, 30, 1600, 711, 291, 2599, 26, 14693, 31611, 3694, 4822, 30, 630, 547, 669, 81, 1495, 26, 1160, 30, 1600, 27, 291, 630, 32, 1297, 81, 20847, 81, 18713, 346, 284, 665, 3345, 81, 1495, 26, 784, 30, 1542, 30, 1600, 711, 291, 415, 6937, 26, 1495, 30, 21461, 1176, 27, 461, 1600, 32, 20847, 81, 1055, 44, 324, 2678, 96, 280, 630, 32, 3841, 32, 4156, 32, 7345, 81, 426, 324, 5552, 280, 630, 32, 2602, 81, 3798, 81, 20847, 81, 1055, 904, 301, 400, 330, 1055, 950, 2678, 96, 26, 784, 1114, 1297, 81, 20847, 81, 1055, 81, 426, 26, 1160, 30, 1600, 3662, 400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 11, 12, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 10, 9, 7, 7, 7, 9, 10, 9, 9, 10, 9, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 6, 6, 10, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 9, 8, 8, 8, 8, 9, 9, 8, 4, 4, 5, 9, 10, 9, 9, 10, 9, 7, 7, 8, 9, 9, 9, 6, 6, 7, 8, 9, 5, 5, 5, 9, 8, 8, 11, 12, 10, 11, 9, 10, 10, 10, 6, 6, 9, 9, 8, 8, 10, 11, 9, 10, 10, 10, 6, 6, 10, 11, 11, 11, 9, 10, 9, 9, 9, 11, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 14, 14, 12, 14, 14, 17, 16, 17, 17, 17, 17, 17, 17, 17, 16, 17, 16, 16, 16, 11, 11, 14, 14, 12, 14, 14, 15, 15, 15, 14, 11, 11, 14, 14, 12, 14, 14, 16, 15, 16, 14, 11, 11, 9, 9, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 8, 9, 8, 8, 9, 8, 6, 6, 7, 8, 8, 8, 5, 5, 5, 9, 8, 8, 11, 12, 10, 11, 9, 10, 10, 10, 6, 6, 8, 8, 10, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 10, 13, 13, 11, 13, 13, 16, 15, 16, 16, 16, 16, 16, 16, 16, 15, 16, 15, 15, 15, 10 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 1, 6, 1, 8, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 1, 2, 1, 1, 1, 2, 5, 5, 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, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 7, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 1, 1, 1, 1, 1, 3, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 5, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 4, 4, 2, 1, 1, 4, 4, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 6, 1, 1, 2, 1, 2, 2, 2, 2, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 7, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2 ]
[ 1070, 18792, 1188, 18394, 2338, 30, 1344, 81, 681, 203, 1070, 18792, 32, 21332, 32, 39362, 32, 2208, 1188, 1984, 2208, 30, 3185, 81, 99, 2003, 203, 823, 4448, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1411, 30, 8210, 30, 3361, 30, 4826, 711, 291, 630, 32, 1959, 280, 1411, 291, 630, 32, 3423, 280, 8210, 291, 630, 1114, 14499, 81, 761, 280, 19326, 26, 1548, 30, 330, 850, 683, 291, 415, 630, 1114, 14499, 81, 761, 44, 324, 630, 32, 1548, 280, 3361, 32, 850, 346, 291, 813, 44, 324, 630, 32, 1548, 280, 3361, 291, 630, 32, 5078, 280, 2149, 291, 436, 1202, 328, 4826, 44, 324, 630, 32, 669, 81, 2111, 26, 678, 30, 4826, 77, 678, 1130, 284, 477, 2433, 284, 665, 3361, 26, 784, 711, 291, 442, 18394, 2338, 26, 784, 1114, 1548, 27, 415, 630, 1114, 14499, 81, 761, 813, 630, 1114, 1548, 284, 477, 1548, 32, 16527, 284, 665, 3361, 26, 784, 30, 786, 711, 291, 415, 6937, 26, 853, 30, 1344, 81, 681, 711, 324, 786, 280, 786, 32, 4434, 463, 3310, 31, 42, 683, 291, 630, 1114, 1548, 280, 786, 284, 665, 1015, 81, 2111, 26, 784, 30, 1202, 30, 786, 711, 291, 415, 6937, 26, 853, 30, 308, 7288, 30, 1149, 8531, 324, 630, 32, 5078, 77, 678, 79, 280, 786, 77, 34, 79, 291, 813, 44, 324, 630, 32, 5078, 77, 678, 79, 280, 786, 284, 477, 2433, 284, 665, 12841, 26, 784, 711, 291, 442, 1984, 2208, 26, 784, 32, 3423, 547, 13627, 284, 477, 2433, 284, 665, 3408, 26, 784, 711, 291, 442, 1984, 2208, 26, 784, 32, 3423, 547, 12256, 284, 477, 2433, 284, 665, 2601, 26, 784, 711, 291, 3185, 81, 3423, 280, 1984, 2208, 26, 784, 32, 3423, 27, 291, 2601, 280, 3185, 81, 3423, 32, 625, 291, 415, 2601, 438, 1665, 44, 324, 2601, 280, 5053, 641, 950, 225, 38, 38, 37, 30, 330, 525, 950, 225, 42, 34, 12893, 2208, 81, 3423, 32, 13627, 79, 291, 442, 2601, 284, 477, 2433, 284, 665, 1519, 26, 784, 711, 291, 442, 1984, 2208, 26, 784, 32, 3423, 547, 983, 284, 477, 2433, 284, 665, 2467, 26, 784, 711, 291, 2678, 280, 1984, 2208, 26, 784, 32, 3423, 547, 1217, 291, 442, 8594, 26, 2208, 81, 99, 2003, 26, 99, 490, 284, 477, 2433, 284, 665, 1984, 26, 784, 711, 291, 442, 630, 32, 3423, 284, 477, 2433, 284, 665, 7079, 26, 784, 711, 291, 442, 630, 32, 13627, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 3778, 1104, 5989, 34, 1748, 301, 35, 4872, 2296, 1643, 26, 784, 32, 1959, 30, 630, 32, 3423, 27, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 630, 3667, 466, 16369, 284, 665, 617, 452, 81, 2665, 26, 784, 711, 291, 442, 301, 324, 330, 1959, 950, 630, 32, 1959, 30, 324, 330, 3423, 950, 630, 32, 3423, 30, 324, 330, 1548, 950, 630, 32, 1548, 30, 324, 330, 5078, 950, 5436, 7728, 93, 30, 428, 104, 1130, 436, 831, 30, 354, 328, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 8, 10, 10, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 10, 8, 8, 10, 11, 10, 5, 5, 6, 6, 6, 10, 11, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 5, 5, 5, 5, 5, 5, 9, 10, 10, 10, 9, 10, 9, 9, 10, 11, 10, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 9, 9, 11, 10, 11, 9, 7, 7, 8, 9, 9, 9, 7, 7, 8, 9, 2, 2, 6, 5, 6, 3, 3, 4, 5, 6, 5, 5, 5, 4, 4, 6, 8, 9, 8, 8, 9, 9, 8, 6, 6, 9, 9, 11, 12, 11, 13, 13, 13, 13, 5, 5, 8, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 9, 8, 8, 8, 5, 5, 10, 11, 9, 10, 9, 8, 8, 9, 10, 9, 5, 5, 6, 6, 6, 11, 12, 10, 11, 10, 9, 9, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 9, 9, 11, 10, 11, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 9, 9, 11, 10, 11, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 9, 11, 10, 11, 9, 5, 5, 7, 7, 9, 9, 8, 9, 5, 5, 6, 7, 7, 6, 6, 6, 9, 9, 14, 14, 12, 13, 13, 13, 11, 11, 14, 14, 12, 13, 13, 11, 12, 12, 12, 11, 12, 10, 5, 5, 6, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 9, 9, 11, 10, 11, 9, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 7, 7, 10, 10, 12, 11, 12, 10, 9, 5, 5, 6, 8, 10, 10, 10, 10, 10, 11, 10, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 7, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 9, 8, 9, 7, 7, 8, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 9, 9, 7, 8, 9, 6, 6, 6, 9, 9, 7, 8, 9, 6, 6, 6, 9, 9, 7, 8, 9, 6, 6, 6, 9, 9, 7, 9, 12, 11, 11, 13, 12, 10, 11, 12, 12, 11, 11, 14 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 6, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 2, 2, 2, 3, 3, 3, 0, 2, 0, 0, 0, 2, 1, 3, 3, 4, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 5, 5, 5, 5, 5, 5, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 3, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 4, 2, 4, 4, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 2, 0, 2, 0, 0, 0, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 4, 4, 1, 5, 5, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 4, 4, 1, 6, 6, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 3, 2, 2, 0, 0, 0, 0, 2, 2, 2, 4, 4, 3, 4, 4, 1, 7, 7, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 4, 4, 1, 8, 8, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 4, 4, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 9, 9, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 10, 10, 1, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 11, 1, 1, 1, 2, 11, 11, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 4, 12, 1, 1, 1, 2, 12, 12, 0, 0, 2, 2, 4, 4, 13, 1, 1, 1, 2, 1, 2, 13, 13, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 2, 2, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 30, 1459, 81, 1126, 30, 7976, 81, 465, 203, 1070, 31863, 103, 22495, 1188, 617, 37227, 581, 105, 203, 589, 44555, 581, 105, 26, 108, 30, 831, 47, 34, 30, 26907, 47, 35, 87, 31, 42, 711, 284, 540, 2993, 284, 44555, 581, 105, 26, 108, 30, 831, 47, 34, 30, 26907, 47, 35, 87, 31, 42, 27, 284, 498, 2733, 581, 624, 667, 32, 284, 886, 498, 2733, 581, 624, 667, 529, 73, 26, 108, 7601, 438, 3417, 619, 322, 19385, 667, 284, 432, 4102, 105, 319, 2910, 26, 105, 27, 16688, 701, 1604, 8153, 30, 322, 786, 432, 4102, 73, 26, 108, 27, 572, 438, 284, 3751, 688, 4102, 108, 280, 624, 26, 108, 27, 319, 2910, 26, 73, 26, 108, 490, 572, 436, 1346, 8640, 1451, 284, 4102, 108, 16688, 284, 886, 498, 2733, 581, 624, 667, 438, 312, 10151, 18181, 8396, 667, 623, 9233, 14825, 284, 5075, 19216, 32, 11072, 5573, 13344, 312, 8111, 5295, 432, 322, 284, 23032, 4102, 108, 280, 341, 2910, 26, 105, 27, 16688, 9540, 30, 322, 19216, 884, 18501, 810, 322, 284, 4991, 529, 93, 2541, 284, 8350, 284, 13510, 284, 1288, 499, 1417, 81, 6228, 291, 4237, 2793, 32, 284, 831, 499, 629, 30, 5302, 291, 23745, 1650, 32, 284, 26907, 499, 1897, 30, 5302, 291, 32428, 26434, 32, 284, 3759, 284, 14761, 284, 341, 499, 1417, 291, 529, 105, 82, 1098, 1159, 322, 2432, 6024, 619, 529, 108, 2541, 284, 13907, 284, 22253, 284, 3367, 19216, 884, 5420, 810, 529, 37227, 581, 105, 6083, 284, 319, 4102, 37227, 581, 105, 26, 108, 27, 572, 13344, 322, 16818, 5295, 308, 6586, 225, 34, 27, 284, 319, 4102, 37227, 581, 105, 26, 108, 30, 831, 27, 572, 13344, 322, 5295, 544, 5573, 529, 93, 82, 284, 886, 498, 2733, 581, 624, 667, 1401, 3134, 34659, 4011, 19216, 44, 322, 284, 16818, 5573, 5058, 93, 280, 225, 34, 4529, 438, 4011, 436, 4011, 4102, 108, 848, 429, 35, 33, 87, 18769, 461, 322, 284, 4102, 93, 280, 429, 35, 572, 5573, 438, 4011, 436, 4102, 31, 35, 33, 87, 333, 1288, 333, 225, 34, 16688, 3367, 19216, 2940, 284, 4102, 93, 280, 225, 34, 572, 1159, 312, 1245, 31176, 11580, 20206, 15849, 821, 4102, 108, 280, 225, 34, 16688, 284, 1115, 23708, 5654, 326, 284, 886, 11903, 883, 9555, 328, 14446, 332, 5029, 4230, 372, 322, 5573, 2260, 284, 821, 4102, 31, 35, 33, 87, 16688, 701, 1629, 15573, 6792, 30, 529, 37227, 581, 105, 82, 4796, 5927, 284, 3547, 372, 15941, 300, 30, 556, 883, 943, 973, 544, 322, 6643, 5573, 32, 284, 1115, 10448, 326, 284, 677, 47334, 1182, 13330, 438, 1654, 372, 28967, 4102, 105, 319, 2910, 26, 105, 27, 18769, 1471, 312, 1932, 31, 1174, 284, 619, 107, 6310, 35022, 39431, 308, 65, 26, 751, 26, 105, 490, 556, 529, 65, 26, 105, 27, 4529, 619, 322, 2815, 20772, 32, 284, 886, 5644, 30, 4736, 461, 11655, 432, 19216, 438, 4122, 544, 428, 36, 79, 3133, 284, 2802, 8669, 284, 24618, 284, 341, 990 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 4, 2, 2, 3, 4, 4, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 30, 1459, 81, 1126, 203, 465, 5237, 203, 325, 1156, 1320, 505, 438, 1665, 461, 646, 19326, 26, 3731, 30, 330, 30480, 7831, 284, 1188, 2322, 32, 983, 284, 1519, 280, 2322, 32, 983, 32, 35490, 26, 500, 32, 983, 32, 21379, 4064, 761, 28154, 284, 5237, 32, 983, 32, 3215, 26, 34, 30, 2322, 32, 983, 32, 7781, 26, 500, 32, 983, 32, 7781, 26, 983, 2610, 203, 325, 2069, 26, 3731, 32, 6118, 27, 848, 225, 35, 461, 5237, 32, 6118, 77, 35, 79, 610, 11363, 6281, 1338, 950, 284, 1188, 2361, 284, 645, 831, 1347, 422, 500, 32, 14146, 81, 9744, 1188, 10895, 1338, 284, 3099, 280, 1665, 284, 1596, 44, 291, 3099, 280, 10895, 1338, 32, 371, 81, 6281, 81, 1338, 346, 284, 2940, 3268, 44, 291, 645, 831, 1347, 422, 500, 32, 23680, 1188, 5741, 291, 5741, 32, 3893, 463, 5288, 372, 10847, 10218, 3099, 11834, 284, 1459, 26, 1260, 32, 16958, 26, 1338, 490, 203, 12106, 2069, 26, 3731, 32, 6118, 27, 848, 225, 35, 461, 5237, 32, 6118, 77, 35, 79, 610, 11363, 1945, 31, 2219, 1890, 950, 284, 645, 831, 1347, 422, 500, 32, 14146, 81, 9744, 1188, 10895, 1338, 284, 1459, 26, 6281, 1338, 1114, 7975, 81, 371, 81, 6281, 81, 1338, 81, 1070, 81, 2219, 1890, 1157, 203, 12106, 2069, 26, 3731, 32, 6118, 27, 848, 225, 35, 461, 5237, 32, 6118, 77, 35, 79, 610, 11363, 2929, 1338, 950, 284, 1188, 2361, 284, 645, 831, 1347, 422, 500, 1188, 281, 8820, 284, 281, 8820, 32, 1664, 81, 18706, 346, 284, 281, 8820, 32, 1664, 81, 1676, 279, 346, 284, 415, 281, 8820, 32, 3374, 81, 14268, 81, 7365, 2262, 291, 9025, 81, 46831, 280, 281, 8820, 32, 668, 81, 7365, 81, 46831, 346, 284, 813, 44, 291, 9025, 81, 46831, 280, 1665, 284, 1459, 26, 1260, 32, 16958, 1371, 291, 330, 24366, 950, 281, 8820, 32, 371, 81, 24366, 1026, 291, 330, 7365, 81, 46831, 950, 9025, 81, 46831, 30, 291, 330, 3597, 738, 6758, 950, 281, 8820, 32, 668, 81, 3597, 738, 6758, 346, 284, 16586, 203, 12106, 2069, 26, 3731, 32, 6118, 27, 848, 225, 35, 461, 5237, 32, 6118, 77, 35, 79, 610, 11363, 88, 762, 31, 1163, 31, 983, 950, 284, 645, 831, 1347, 422, 500, 1188, 281, 8820, 284, 281, 8820, 32, 1664, 81, 18706, 346, 284, 1459, 26, 85, 8820, 32, 371, 81, 1163, 81, 983, 1157, 203, 12106, 2069, 26, 3731, 32, 6118, 27, 848, 225, 35, 461, 5237, 32, 6118, 77, 35, 79, 610, 11363, 1356, 31, 8478, 950, 284, 1188, 2361, 284, 645, 831, 1347, 422, 500, 1188, 281, 8820, 30, 4193, 284, 415, 2069, 26, 3731, 32, 6118, 27, 848, 225, 37, 44, 291, 415, 5237, 32, 6118, 77, 36, 79, 610, 330, 2837, 950, 324, 4193, 32, 3550, 710, 18706, 36, 81, 983, 785, 280, 1665, 291, 813, 44, 324, 4193, 32, 3550, 710, 18706, 36, 81, 983, 785, 280, 5237, 32, 6118, 77, 36, 79, 291, 415, 5237, 32, 6118, 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, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 4, 3, 3, 2, 2, 3, 5, 6, 5, 5, 7, 7, 1, 1, 3, 4, 5, 2, 2, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 2, 2, 6, 7, 5, 6, 5, 6, 5, 5, 8, 9, 7, 8, 7, 11, 10, 11, 9, 10, 9, 10, 9, 0, 1, 1, 5, 7, 6, 7, 5, 3, 3, 4, 2, 2, 5, 6, 4, 5, 4, 3, 3, 5, 5, 5, 1, 1, 3, 2, 2, 3, 5, 5, 5, 4, 5, 5, 5, 3, 3, 5, 2, 2, 4, 4, 2, 2, 3, 3, 3, 6, 6, 9, 8, 9, 9, 9, 9, 9, 8, 3, 3, 4, 4, 4, 4, 6, 8, 8, 8, 7, 8, 6, 6, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 10, 2, 2, 5, 8, 7, 8, 7, 8, 7, 1, 2, 2, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 6, 7, 5, 6, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 4, 6, 6, 6, 5, 6, 6, 6, 4, 4, 6, 3, 3, 6, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 1, 2, 2, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 6, 7, 5, 6, 5, 4, 4, 6, 6, 6, 2, 2, 4, 3, 3, 4, 6, 6, 6, 4, 4, 6, 3, 3, 7, 6, 7, 7, 7, 6, 3, 3, 7, 6, 7, 7, 7, 7, 6, 3, 3, 4, 7, 6, 7, 7, 7, 7, 7, 6, 4, 4, 8, 8, 7, 7, 10, 9, 10, 10, 10, 10, 10, 9, 4, 4, 5, 5, 5, 9, 9, 8, 8, 3, 3, 6, 9, 8, 9, 8, 9, 9, 12, 12, 10, 13, 12, 13, 13, 13, 12, 9, 9, 12, 12, 12, 12, 10, 11, 11, 9, 9, 9, 12, 12, 12, 12, 10, 13, 12, 13, 13, 13, 13, 13, 12, 9, 9, 1, 2, 2, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 6, 7, 5, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 6, 6, 6, 4, 4, 6, 3, 3, 7, 6, 7, 7, 7, 6, 3, 3, 6, 9, 9, 8, 9, 9, 9, 9, 9, 8, 1, 2, 2, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 6, 7, 5, 6, 5, 4, 4, 6, 6, 6, 6, 2, 2, 4, 3, 3, 4, 6, 6, 6, 4, 4, 6, 4, 4, 3, 3, 4, 7, 9, 8, 9, 7, 5, 5, 6, 4, 4, 4, 6, 9, 10, 8, 9, 8, 7, 7, 9, 9, 6, 6, 11, 12, 10, 12, 12, 12, 12, 12, 9, 9, 6, 6, 7, 7, 7, 12, 13, 11, 13, 13, 13, 13, 13, 10, 10, 12, 13, 11, 12, 11, 5, 5, 6, 9, 10, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 3, 3, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 3, 3, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 3, 3, 0, 3, 3, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 1, 2, 0, 0, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 0, 2, 1, 1, 1, 3, 4, 4, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 3, 3, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 5, 5, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 5, 5, 0, 3, 3, 1, 0, 0, 0, 1, 1, 0, 3, 3, 0, 0, 2, 2, 2, 1, 3, 3, 0, 0, 2, 2, 2, 2, 1, 3, 3, 4, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 3, 3, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 5, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 3, 6, 6, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 2, 2, 2, 1, 3, 3, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 7, 7, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 7, 7, 0, 3, 3, 1, 0, 0, 0, 1, 1, 0, 1, 1, 3, 3, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 4, 4, 4, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 3, 3, 1, 0, 2, 0 ]