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, 2108, 57, 2983, 203, 858, 280, 2108, 57, 2983, 32, 1006, 57, 2983, 346, 203, 858, 32, 1945, 81, 24523, 463, 5248, 32, 24523, 370, 1802, 6470, 54, 5248, 47, 1574, 81, 5248, 370, 1802, 6470, 54, 1500, 444, 81, 1126, 47, 1356, 35, 370, 1802, 663, 1515, 1057, 1617, 683, 203, 858, 32, 268, 27041, 463, 1617, 370, 330, 268, 27041, 33, 1617, 683, 203, 858, 32, 1832, 463, 5248, 32, 24523, 370, 894, 32, 2320, 30, 663, 1515, 1057, 268, 27041, 33, 1617, 683, 203, 2358, 280, 1524, 78, 203, 8279, 645, 3460, 32, 85, 203, 8279, 645, 5034, 35, 32, 85, 203, 8279, 645, 5034, 36, 32, 85, 203, 8279, 645, 5034, 35, 81, 1500, 444, 32, 85, 203, 2993, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 5784, 370, 663, 1515, 1057, 268, 27041, 33, 1617, 370, 12532, 47, 2358, 27, 203, 858, 32, 1945, 81, 24523, 463, 5248, 32, 24523, 370, 1802, 6470, 54, 5248, 47, 1574, 81, 5248, 370, 1802, 6470, 54, 1500, 444, 81, 1126, 47, 1356, 36, 370, 1802, 663, 1515, 1057, 268, 27041, 33, 1617, 683, 203, 858, 32, 7840, 346, 203, 8078, 280, 894, 32, 850, 463, 268, 27041, 33, 1617, 33, 5784, 32, 85, 683, 203, 8078, 280, 7299, 32, 3227, 463, 8279, 370, 330, 8279, 4056, 683, 203, 858, 32, 1821, 463, 268, 27041, 33, 1617, 33, 5784, 32, 85, 370, 7299, 27, 203, 858, 32, 1832, 463, 5248, 32, 24523, 370, 894, 32, 2320, 30, 663, 1515, 1057, 268, 27041, 33, 1617, 683, 203, 2358, 280, 1524, 78, 203, 8279, 4056, 645, 3460, 32, 85, 203, 8279, 645, 5034, 35, 32, 85, 203, 8279, 645, 5034, 36, 32, 85, 203, 8279, 645, 5034, 36, 81, 1500, 444, 32, 85, 203, 2993, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 5784, 370, 663, 1515, 1057, 268, 27041, 33, 1617, 370, 12532, 47, 2358, 27, 203, 858, 32, 1945, 81, 24523, 463, 5248, 32, 24523, 370, 1802, 6470, 54, 5248, 47, 1574, 81, 5248, 370, 1802, 6470, 54, 1500, 444, 81, 1126, 47, 1356, 35, 370, 1802, 663, 1515, 1057, 268, 27041, 33, 1617, 683, 203, 858, 32, 7840, 346, 203, 8078, 280, 894, 32, 850, 463, 268, 27041, 33, 1617, 33, 5784, 32, 85, 683, 203, 8078, 280, 7299, 32, 3227, 463, 25478, 370, 330, 25478, 4056, 683, 203, 858, 32, 1821, 463, 268, 27041, 33, 1617, 33, 5784, 32, 85, 370, 7299, 27, 203, 858, 32, 11251, 463, 268, 27041, 33, 1617, 33, 1356, 36, 32, 85, 683, 203, 858, 32, 1832, 463, 5248, 32, 24523, 370, 894, 32, 2320, 30, 663, 1515, 1057, 268, 27041, 33, 1617, 683, 203, 2358, 280, 1524, 78, 203, 8279, 4056, 4056, 645, 3460, 32, 85, 203, 8279, 645, 5034, 35, 32, 85, 203, 8279, 645, 5034, 36, 32, 85, 203, 8279, 645, 5034, 35, 81, 1500, 444, 32, 85, 203, 2993, 203, 858, 32, 1945, 81, 8282, 81, 21823, 463, 5784, 370, 663, 1515, 1057, 268, 27041, 33, 1617, 370, 12532, 47, 2358, 27, 203, 858, 32, 4617, 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, 0, 3, 2, 2, 5, 5, 4, 5, 5, 5, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 4, 6, 6, 0, 4, 3, 4, 4, 3, 5, 5, 3, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 3, 4, 5, 3, 3, 5, 4, 6, 6, 6, 6, 6, 0, 3, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 3, 5, 4, 6, 6, 6, 6, 6, 3, 4, 5, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 4, 6, 6, 6, 6, 6, 0, 4, 3, 4, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 4, 6, 6, 4, 6, 6, 6, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 4, 3, 4, 3, 5, 5, 5, 5, 3, 4, 5, 3, 3, 5, 4, 6, 6, 6, 6, 6, 0, 3, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 3, 5, 4, 6, 6, 6, 6, 6, 3, 4, 5, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 4, 6, 6, 6, 6, 6, 0, 4, 3, 4, 3, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 2, 2, 4, 5, 4, 6, 6, 4, 6, 6, 6, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 4, 3, 4, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 4, 3, 4, 3, 5, 5, 5, 5, 3, 4, 5, 3, 3, 5, 4, 6, 6, 6, 6, 6, 0, 3, 2, 2, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 3, 4, 4, 4, 4, 4, 3, 5, 5, 3, 5, 4, 6, 6, 6, 6, 6, 3, 4, 5, 3, 0, 4, 3, 4, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 7, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 0, 5, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 3, 1, 1, 1, 1, 2, 1, 5, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 7, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 0, 5, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 3, 1, 1, 1, 1, 2, 1, 5, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 7, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 1, 0, 5, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 3, 1, 1, 1, 1, 2, 1, 5, 2, 1, 0, 0, 0, 2, 2 ]
[ 465, 1933, 203, 1070, 2322, 315, 32, 2304, 1188, 1133, 2304, 203, 1070, 34856, 32, 1237, 32, 735, 36, 1188, 1845, 548, 602, 203, 1070, 34856, 1188, 894, 203, 823, 2330, 1104, 7233, 26, 858, 32, 2023, 1996, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 2554, 1104, 7233, 30, 630, 547, 23741, 346, 291, 630, 32, 2403, 280, 1845, 548, 602, 32, 2554, 1104, 440, 13190, 1917, 392, 313, 13190, 1711, 392, 11244, 313, 13190, 2062, 392, 12797, 291, 630, 32, 5243, 280, 301, 324, 330, 800, 950, 330, 3986, 370, 324, 330, 410, 950, 225, 35, 30, 324, 330, 3222, 950, 1946, 26, 35, 471, 324, 330, 2420, 950, 3177, 30, 324, 330, 2665, 950, 301, 400, 330, 800, 950, 330, 3986, 370, 400, 330, 410, 950, 225, 35, 30, 324, 320, 291, 320, 284, 665, 894, 81, 3169, 81, 1986, 81, 14510, 26, 784, 711, 291, 706, 280, 630, 32, 2403, 1114, 3169, 81, 1986, 26, 784, 32, 5243, 30, 330, 6572, 683, 291, 630, 32, 33966, 10385, 13190, 1711, 1397, 12048, 347, 525, 555, 735, 36, 32, 13808, 32, 508, 7404, 2855, 330, 1427, 33, 13190, 2062, 13093, 706, 27, 291, 630, 32, 33966, 10385, 410, 48, 35, 377, 410, 10154, 706, 27, 291, 630, 32, 33966, 10385, 800, 48, 3986, 377, 800, 10154, 706, 27, 284, 665, 894, 81, 3169, 81, 1986, 81, 3310, 42, 26, 784, 711, 291, 5127, 280, 1933, 32, 34003, 26, 784, 32, 5243, 27, 291, 5127, 710, 3310, 42, 785, 280, 707, 1190, 100, 26, 38, 34, 43, 40, 34, 27, 474, 1044, 25, 34439, 25, 474, 707, 1190, 100, 26, 35, 43, 41, 36, 27, 291, 706, 280, 630, 32, 2403, 1114, 3169, 81, 1986, 26, 5243, 30, 330, 6572, 683, 291, 630, 32, 33966, 10385, 3310, 42, 18944, 38, 34, 43, 40, 34, 45, 34439, 5233, 35, 43, 41, 36, 2691, 3310, 42, 10154, 706, 27, 284, 665, 894, 81, 601, 81, 1327, 81, 9328, 1643, 26, 784, 711, 291, 11492, 280, 1845, 548, 602, 1114, 4603, 81, 452, 81, 9328, 1643, 291, 1133, 81, 452, 81, 5954, 280, 1133, 2304, 32, 2208, 81, 466, 1003, 440, 36, 34, 35, 35, 31, 34, 36, 31, 36, 35, 225, 36, 34, 44, 35, 38, 44, 35, 34, 32, 40, 37, 38, 36, 41, 40, 392, 15607, 5461, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 15231, 88, 657, 291, 630, 32, 5299, 26, 6081, 26, 1003, 81, 452, 81, 5954, 471, 330, 36, 34, 35, 35, 31, 34, 36, 31, 36, 35, 70, 36, 34, 44, 35, 38, 44, 35, 34, 32, 40, 37, 38, 76, 683, 291, 1133, 81, 452, 81, 5954, 280, 1133, 2304, 32, 2208, 81, 466, 1003, 440, 36, 34, 35, 35, 31, 34, 36, 31, 36, 35, 225, 35, 43, 44, 39, 40, 44, 35, 42, 392, 15607, 5461, 75, 9299, 95, 9299, 86, 904, 58, 6069, 63, 6069, 69, 657, 291, 630, 32, 5299, 26, 6081, 26, 1003, 81, 452, 81, 5954, 471, 330, 36, 34, 35, 35, 31 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 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, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 7, 4, 4, 7, 8, 6, 6, 9, 9, 8, 9, 9, 8, 10, 10, 10, 8, 10, 10, 10, 8, 8, 10, 10, 10, 8, 4, 4, 7, 8, 6, 6, 7, 7, 10, 10, 8, 10, 10, 7, 7, 10, 10, 8, 9, 7, 7, 7, 10, 10, 8, 10, 11, 10, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 9, 9, 12, 12, 10, 12, 12, 9, 9, 12, 12, 10, 11, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 9, 10, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 10, 10, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10, 8, 4, 4, 7, 9, 9, 9, 6, 6, 10, 10, 10, 11, 11, 11, 11, 11, 10, 8, 8, 10, 10, 10, 7, 7, 9, 9, 9, 10, 10, 10, 10, 9, 4, 4, 6, 6, 9, 10, 8, 9, 9, 9, 8, 9, 8, 8, 10, 10, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 7, 8, 8, 8, 8, 8, 8, 4, 4, 7, 7, 7, 7, 6, 6, 9, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 9, 10, 10, 10, 10, 10, 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, 4, 4, 7, 7, 7, 7, 6, 6, 9, 8, 9, 9, 9, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 9, 10, 10, 10, 10, 10, 9, 7, 9, 9, 9, 9, 9 ]
[ 0, 0, 0, 1, 1, 0, 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, 1, 1, 2, 0, 1, 2, 2, 2, 2, 4, 4, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2, 5, 1, 1, 1, 2, 2, 1, 2, 7, 2, 2, 2, 1, 2, 9, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 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, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 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, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 6436, 619, 2065, 203, 465, 44360, 619, 6115, 203, 465, 12500, 32, 17449, 619, 5743, 203, 465, 16672, 203, 465, 7744, 203, 1070, 18414, 32, 15378, 1188, 281, 604, 81, 4873, 203, 589, 6867, 464, 26, 605, 1287, 30, 20798, 35, 30, 20798, 36, 30, 11206, 30, 11358, 426, 35, 30, 11358, 426, 36, 30, 2024, 426, 711, 284, 415, 11615, 610, 28416, 4456, 1245, 605, 280, 2065, 32, 934, 32, 751, 26, 605, 1287, 27, 291, 1245, 605, 280, 1245, 605, 32, 16370, 26, 34, 27, 291, 2266, 10316, 280, 629, 26, 3812, 32, 9121, 26, 1497, 26, 1657, 26, 751, 605, 471, 31, 410, 26, 3812, 32, 9121, 26, 3812, 32, 751, 35, 34, 26, 1657, 26, 751, 605, 22563, 33, 35, 34, 490, 291, 3327, 280, 6115, 32, 35796, 26, 751, 605, 30, 85, 1632, 47, 2700, 30, 4789, 1226, 5919, 47, 1172, 10316, 30, 8808, 1226, 5919, 47, 1172, 10316, 27, 291, 415, 24627, 35, 863, 1605, 44, 324, 436, 7898, 328, 24627, 35, 44, 8982, 5743, 32, 3399, 1162, 7568, 77, 34, 14204, 35, 30, 7568, 77, 35, 5727, 26, 1657, 26, 751, 605, 7824, 7568, 77, 34, 6155, 35, 30, 1657, 26, 751, 605, 7824, 7568, 77, 34, 6155, 35, 41218, 89, 683, 400, 5743, 32, 3399, 1162, 7568, 77, 35, 614, 7568, 77, 35, 5727, 26, 1657, 26, 751, 605, 7824, 7568, 77, 34, 6155, 35, 30, 1657, 26, 751, 605, 7824, 7568, 77, 35, 5727, 25, 89, 683, 400, 7581, 35, 27851, 280, 5743, 32, 1811, 36, 54, 1162, 34, 30, 35, 7039, 34, 30, 34, 471, 1963, 1057, 6555, 370, 43701, 1057, 12853, 683, 291, 415, 24627, 36, 863, 1605, 44, 324, 436, 7898, 328, 24627, 36, 44, 400, 5743, 32, 3399, 1162, 7568, 77, 34, 14204, 35, 30, 7568, 77, 35, 5727, 26, 1657, 26, 751, 605, 7824, 7568, 77, 35, 614, 1657, 26, 751, 605, 7824, 7568, 77, 35, 5727, 25, 84, 683, 400, 5743, 32, 3399, 1162, 7568, 77, 34, 14204, 35, 30, 7568, 77, 34, 14204, 35, 7039, 1657, 26, 751, 605, 7824, 7568, 77, 34, 6155, 35, 30, 1657, 26, 751, 605, 7824, 7568, 77, 35, 5727, 25, 84, 683, 400, 7581, 36, 27851, 280, 5743, 32, 1811, 36, 54, 1162, 34, 30, 35, 7039, 34, 30, 34, 471, 1963, 1057, 5466, 370, 43701, 1057, 12853, 683, 284, 813, 44, 4456, 1245, 605, 280, 2065, 32, 934, 32, 751, 26, 605, 1287, 77, 11206, 77, 34, 2786, 11206, 77, 35, 614, 11206, 77, 34, 2786, 11206, 77, 35, 13138, 291, 1245, 605, 280, 1245, 605, 32, 16370, 26, 34, 27, 291, 2266, 10316, 280, 629, 26, 3812, 32, 9121, 26, 1497, 26, 1657, 26, 751, 605, 471, 31, 410, 26, 3812, 32, 9121, 26, 3812, 32, 751, 35, 34, 26, 1657, 26, 751, 605, 22563, 33, 35, 34, 490, 291, 3327, 280, 6115, 32, 35796, 26, 751, 605, 30, 85, 1632, 47, 2700, 30, 4789, 1226, 5919, 47, 1172, 10316, 30, 8808, 1226, 5919, 47, 1172, 10316, 27, 291, 415, 24627, 35, 863, 1605, 44, 324, 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, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 2, 1, 1, 3, 4, 4, 3, 3, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 8, 4, 4, 7, 6, 6, 9, 8, 9, 8, 9, 8, 4, 4, 7, 6, 6, 8, 11, 10, 11, 10, 13, 13, 15, 15, 16, 16, 15, 14, 16, 16, 19, 18, 19, 18, 21, 20, 21, 21, 21, 20, 22, 22, 23, 23, 22, 11, 12, 12, 10, 4, 4, 6, 6, 8, 9, 8, 9, 9, 8, 10, 10, 9, 10, 8, 10, 10, 10, 9, 10, 10, 8, 10, 10, 10, 9, 10, 10, 8, 4, 4, 5, 7, 6, 6, 5, 5, 5, 7, 7, 7, 8, 7, 7, 7, 11, 12, 11, 15, 14, 15, 14, 14, 12, 14, 13, 14, 13, 12, 16, 16, 17, 17, 16, 16, 15, 16, 15, 14, 12, 16, 16, 17, 17, 16, 16, 15, 16, 15, 14, 12, 13, 13, 8, 8, 11, 12, 11, 14, 13, 14, 13, 14, 13, 14, 13, 12, 16, 16, 17, 17, 16, 16, 15, 16, 15, 14, 12, 15, 15, 16, 16, 15, 15, 14, 15, 14, 13, 13, 13, 8, 8, 11, 11, 10, 10, 12, 13, 13, 13, 12, 14, 13, 14, 13, 14, 13, 14, 13, 12, 13, 15, 15, 12, 13, 15, 15, 4, 4, 5, 7, 6, 6, 5, 5, 5, 7, 7, 7, 8, 7, 7, 7, 11, 12, 11, 15, 14, 15, 14, 14, 12, 14, 13, 14, 13, 12, 15, 15, 16, 16, 15, 15, 14, 15, 14, 15, 15, 16, 16, 15, 15, 14, 15, 14, 13, 13, 13, 8, 8, 11, 12, 11, 15, 14, 15, 14, 14, 12, 15, 14, 15, 14, 14, 12, 16, 16, 17, 17, 16, 16, 15, 16, 15, 14, 12, 15, 15, 16, 16, 15, 15, 14, 15, 14, 13, 13, 13, 8, 8, 11, 11, 10, 10, 12, 13, 13, 13, 12, 14, 13, 14, 13, 14, 13, 14, 13, 12, 13, 15, 15, 12, 13, 15, 15, 3, 3, 4, 4, 4, 8, 7, 7, 10, 11, 9, 10, 9, 11, 11, 10, 13, 12, 13, 12, 13, 12, 13, 12, 13, 12, 13, 12, 13, 12, 13, 12, 5, 5, 8, 7, 7, 10, 9, 10, 9, 10, 9, 5, 5, 8, 7, 7, 9, 12, 11, 12, 11, 14, 14, 16, 16, 17, 17, 16, 15, 17, 17, 20, 19, 20, 19, 22, 21, 22, 22, 22, 21, 23, 23, 24, 24, 23, 12, 13, 13, 11, 5, 5, 7, 7, 9, 10, 9, 10, 10, 9, 11, 11, 10, 11, 9, 11, 11, 11, 10, 11, 11, 9, 11, 11, 11, 10, 11, 11, 9, 5, 5, 6, 8, 7, 7, 6, 6, 6 ]
[ 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 0, 0, 6, 6, 1, 2, 1, 1, 2, 3, 3, 2, 5, 5, 2, 7, 2, 9, 9, 9, 2, 11, 11, 11, 2, 13, 13, 2, 6, 6, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 3, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 5, 2, 2, 1, 0, 0, 0, 7, 2, 2, 1, 3, 3, 4, 0, 1, 1, 4, 4, 4, 0, 0, 0, 3, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 3, 2, 3, 3, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 3, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 3, 1, 2, 5, 5, 0, 2, 1, 0, 1, 2, 1, 0, 3, 2, 3, 3, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 3, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 1, 3, 3, 3, 1, 5, 1, 2, 1, 7, 1, 2, 3, 3, 5, 0, 1, 1, 5, 5, 5, 0, 0, 0, 3, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 3, 2, 3, 3, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 5, 5, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 3, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 1, 3, 3, 3, 1, 5, 1, 2, 1, 7, 1, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 3, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 0, 0, 0, 5, 2, 2, 1, 0, 0, 0, 7, 2, 2, 1, 2, 2, 4, 0, 1, 1, 4, 4, 4 ]
[ 465, 316, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 46474, 203, 465, 5741, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 1270, 44, 284, 645, 33951, 32, 2029, 1188, 2761, 81, 1643, 203, 7343, 29986, 44, 284, 617, 4073, 32, 2811, 463, 4445, 646, 529, 1070, 33951, 32, 2029, 1188, 2761, 81, 1643, 2541, 683, 203, 823, 16517, 30577, 26, 494, 32, 1243, 711, 284, 617, 6815, 280, 330, 575, 32, 6604, 32, 19426, 25, 284, 665, 2125, 81, 22962, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1619, 47, 2521, 711, 291, 415, 6937, 26, 3631, 30, 308, 410, 30, 1897, 8531, 324, 9668, 280, 428, 3631, 79, 291, 4250, 81, 5178, 280, 630, 32, 5178, 32, 371, 463, 575, 32, 3707, 683, 291, 4250, 81, 1347, 81, 5553, 280, 4250, 81, 5178, 32, 1903, 26, 324, 5564, 30, 12373, 30, 5518, 1619, 47, 1819, 30, 2385, 47, 1815, 27, 291, 4082, 280, 5741, 32, 10579, 463, 494, 32, 19426, 683, 291, 4082, 32, 2811, 440, 1141, 81, 22962, 3823, 544, 736, 32, 6604, 32, 19426, 9668, 904, 101, 392, 9668, 27, 291, 436, 3570, 328, 630, 32, 371, 81, 19426, 81, 48719, 26, 2446, 30, 9668, 711, 324, 415, 646, 3570, 710, 1297, 81, 496, 12132, 400, 4036, 324, 3879, 81, 2872, 280, 316, 32, 1903, 26, 400, 540, 25, 2009, 83, 31, 15188, 31, 76, 81, 6155, 11096, 44006, 101, 370, 3570, 710, 19426, 81, 2029, 3490, 324, 415, 3879, 81, 2872, 44, 400, 6207, 81, 2437, 280, 3879, 81, 2872, 32, 1363, 26, 35, 27, 324, 813, 44, 400, 3636, 46474, 32, 7343, 81, 494, 26, 528, 313, 2023, 6207, 3879, 2431, 392, 528, 313, 9752, 646, 6571, 6207, 3879, 645, 2761, 904, 101, 20, 904, 528, 3570, 710, 19426, 81, 2029, 3490, 324, 33951, 81, 2029, 280, 2761, 81, 1643, 26, 2957, 710, 19426, 81, 2029, 785, 904, 33155, 22975, 324, 436, 1056, 328, 630, 32, 1217, 26, 2957, 30, 33951, 81, 2029, 711, 400, 630, 32, 371, 81, 271, 81, 1297, 81, 496, 26, 528, 5564, 30, 12373, 30, 3570, 30, 1056, 77, 35, 1674, 3615, 81, 2437, 1674, 34, 614, 1056, 27, 291, 4250, 81, 1347, 81, 5483, 280, 4250, 81, 5178, 32, 1903, 26, 324, 5564, 30, 12373, 30, 5518, 1619, 47, 1819, 30, 2385, 47, 1815, 27, 291, 4250, 81, 4524, 280, 4250, 81, 1347, 81, 5483, 429, 4250, 81, 1347, 81, 5553, 291, 4082, 32, 2811, 4912, 86, 4250, 3272, 392, 4250, 81, 4524, 27, 291, 442, 4250, 81, 4524, 284, 665, 18967, 81, 21880, 26, 784, 30, 5564, 30, 12373, 30, 9668, 30, 1619, 47, 2521, 711, 291, 415, 646, 9668, 44, 324, 442, 291, 415, 6937, 26, 3631, 30, 308, 410, 30, 1897, 8531, 324, 9668, 280, 428, 3631, 79, 291, 30032, 81, 2067, 280, 630, 32, 5178, 32, 371, 463, 575, 32, 6604, 32, 19426, 32, 22962, 81, 21880, 683, 291, 736, 81, 314, 280, 30032, 81, 2067, 32, 1297, 26, 324, 5564, 30, 12373, 30, 5053, 19426, 81, 314, 950, 9668, 77 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 0, 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 1, 1, 3, 4, 5, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 7, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 7, 8, 7, 7, 9, 8, 8, 8, 5, 5, 8, 8, 10, 9, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 8, 8, 9, 10, 8, 4, 4, 6, 6, 8, 9, 8, 10, 10, 10, 10, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 4, 4, 5, 5, 5, 7, 8, 8, 8, 8, 8, 7, 8, 7, 7, 7, 5, 5, 7, 8, 9, 11, 11, 11, 11, 7, 7, 6, 6, 9, 9, 8, 8, 10, 11, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 13, 13, 13, 13, 6, 6, 7, 8, 8, 7, 7, 7, 11, 11, 10, 10, 13, 13, 12, 13, 12, 13, 12, 7, 7, 8, 8, 8, 10, 12, 13, 13, 13, 12, 12, 12, 14, 14, 14, 14, 14, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 13, 14, 16, 16, 16, 16, 6, 6, 9, 9, 8, 8, 10, 10, 10, 13, 12, 14, 14, 14, 14, 11, 11, 10, 6, 6, 7, 7, 7, 9, 10, 9, 10, 9, 9, 10, 10, 9, 7, 7, 11, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 14, 15, 14, 14, 14, 14, 13, 13, 12, 11, 11, 4, 4, 7, 7, 7, 7, 6, 6, 9, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 8, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 4, 4, 7, 8, 7, 9, 9, 9, 9, 7, 8, 8, 7, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 4, 4, 5, 7, 8, 7, 7, 9, 8, 8, 8, 5, 5, 8, 8, 10, 9, 4, 4, 7, 7, 6, 6, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 6, 6, 9, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 10, 11 ]
[ 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 4, 4, 4, 4, 0, 1, 2, 0, 0, 0, 0, 4, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 2, 0, 1, 2, 2, 5, 5, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 1, 9, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 5, 5, 5, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 5, 5, 0, 1, 1, 1, 1, 1, 2, 0, 0, 5, 5, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 5, 5, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 4, 4, 4, 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, 3, 3, 3, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 5, 5, 4, 4, 4, 0, 2, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 7, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 1, 9, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 9, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 0, 1, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 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, 2, 1, 2 ]
[ 1070, 638, 5043, 1188, 1351, 2127, 203, 465, 5237, 203, 81, 424, 280, 5237, 32, 1648, 81, 1338, 203, 297, 81, 978, 36, 280, 4638, 424, 77, 34, 79, 610, 225, 36, 27, 203, 297, 81, 978, 37, 280, 4638, 424, 77, 34, 79, 610, 225, 37, 27, 203, 465, 2361, 203, 325, 438, 81, 978, 36, 44, 284, 645, 22045, 1188, 15358, 30, 707, 7345, 30, 15358, 81, 5431, 30, 707, 7345, 81, 5431, 30, 1984, 4434, 30, 622, 46466, 30, 7664, 81, 48839, 284, 645, 1984, 2208, 1188, 1984, 2208, 30, 1984, 311, 2208, 30, 1984, 2524, 30, 1984, 2998, 30, 1984, 589, 2453, 284, 645, 22045, 36, 1188, 3185, 81, 525, 81, 668, 284, 1188, 23682, 673, 930, 284, 645, 28411, 1188, 29325, 6171, 284, 645, 44524, 1188, 44524, 284, 645, 638, 5043, 32, 39362, 37, 32, 5043, 32, 8234, 81, 2665, 1188, 33953, 284, 21513, 81, 466, 280, 596, 284, 3519, 280, 596, 284, 596, 280, 15390, 284, 1695, 800, 280, 1695, 800, 284, 12738, 81, 2516, 280, 308, 410, 30, 1946, 30, 1897, 27, 203, 12106, 438, 81, 978, 37, 44, 284, 645, 22045, 32, 2208, 1188, 1984, 2208, 30, 1984, 311, 2208, 30, 1984, 2524, 30, 1984, 2998, 30, 1984, 4434, 30, 15358, 30, 707, 7345, 30, 15358, 81, 5431, 30, 707, 7345, 81, 5431, 30, 1984, 589, 2453, 284, 645, 22045, 32, 1357, 1188, 3185, 81, 525, 81, 668, 30, 622, 46466, 30, 7664, 81, 48839, 284, 645, 1913, 1188, 11078, 6857, 619, 23682, 673, 930, 284, 645, 1913, 32, 21326, 1188, 29325, 6171, 284, 645, 3363, 1188, 44524, 284, 645, 13625, 1188, 33953, 284, 21513, 81, 466, 280, 596, 284, 596, 280, 596, 284, 3519, 280, 3519, 284, 1695, 800, 280, 308, 466, 30, 3519, 27, 284, 12738, 81, 2516, 280, 308, 410, 30, 1897, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 4, 1, 1, 3, 0, 1, 1, 0, 3, 3, 2, 2, 3, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 6, 5, 6, 5, 4, 4, 5, 3, 0, 3, 3, 3, 3, 2, 2, 6, 5, 6, 5, 4, 4, 5, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 3, 3, 3, 5, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 5, 2, 2, 3, 5, 3, 3, 5, 3, 3, 5, 5, 3, 3, 5, 3, 3, 5, 3, 3, 5, 5, 2, 2, 3, 5, 3, 3, 5, 5, 5, 5, 2, 2, 3, 5, 5, 2, 2, 3, 3, 3, 5, 2, 2, 3, 3, 3, 2, 2, 3, 6, 5, 6, 6, 5, 6, 5, 6, 6, 6, 3, 3, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 2, 2, 4, 4, 2, 2, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 6, 5, 5, 5, 5, 5, 1, 2, 2, 3, 3, 3, 2, 2, 2, 4, 5, 6, 4, 4, 6, 4, 4, 6, 6, 4, 4, 6, 4, 4, 6, 4, 4, 6, 4, 4, 4, 4, 6, 4, 4, 6, 6, 4, 4, 6, 6, 6, 4, 4, 6, 6, 3, 3, 4, 5, 6, 4, 4, 6, 6, 6, 6, 4, 4, 6, 4, 4, 6, 6, 3, 3, 4, 4, 4, 7, 5, 5, 6, 6, 3, 3, 4, 5, 6, 4, 4, 6, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 6, 6, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 6, 5, 5, 7, 6, 6, 6, 3, 3, 6, 6, 5, 5, 7, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 5, 5, 0, 6, 6, 1, 1, 1, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 3, 3, 2, 0, 2, 2, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 4, 4, 4, 0, 3, 3, 5, 5, 5, 3, 3, 6, 0, 1, 2, 2, 1, 4, 1, 6, 6, 6, 6, 6, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 6, 4, 4, 1, 1, 1, 4, 4, 4, 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, 0, 3, 3, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 3, 3, 2, 2, 2, 0, 3, 3, 2, 2, 3, 3, 3, 1, 2, 3, 3, 0, 3, 3, 4, 4, 4, 3, 3, 5, 5, 5, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 28350, 5289, 65, 81, 47406, 280, 2107, 2559, 33398, 785, 203, 64, 4546, 81, 2474, 280, 313, 3358, 33398, 10702, 20, 203, 4858, 44785, 81, 41033, 280, 2933, 203, 18576, 280, 313, 2559, 33398, 33, 502, 33, 1566, 81, 2559, 33398, 81, 38, 42, 32, 1645, 20, 203, 21333, 81, 9193, 280, 225, 36, 34, 203, 1296, 81, 2413, 81, 8356, 66, 1186, 1345, 280, 2933, 203, 28727, 81, 8750, 69, 280, 308, 334, 2884, 1821, 392, 313, 6668, 475, 4112, 7373, 32, 17377, 322, 1123, 2857, 5133, 26551, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 309, 27392, 32, 407, 32, 4846, 431, 542, 1188, 6211, 265, 30, 4540, 3092, 265, 203, 1070, 309, 27392, 32, 20798, 32, 2958, 1188, 4354, 2459, 2649, 30, 617, 32133, 81, 2208, 81, 626, 668, 203, 1070, 309, 27392, 1188, 1015, 5459, 203, 1070, 309, 27392, 32, 6921, 1188, 617, 203, 6045, 81, 4994, 81, 268, 280, 316, 32, 6993, 463, 6045, 3491, 101, 8088, 3424, 19188, 203, 823, 4354, 26851, 2447, 26, 4997, 2459, 2649, 711, 284, 665, 2887, 81, 9569, 26, 784, 30, 6915, 30, 2596, 402, 711, 291, 636, 81, 4254, 280, 1665, 291, 636, 280, 6915, 291, 39529, 280, 1665, 291, 2152, 1020, 280, 1665, 291, 2047, 426, 280, 630, 32, 2184, 32, 371, 26, 324, 330, 1647, 370, 630, 32, 2121, 32, 1433, 81, 605, 32, 371, 463, 978, 44, 1647, 2847, 291, 47362, 280, 630, 32, 2121, 32, 1433, 81, 605, 32, 371, 463, 978, 44, 823, 683, 291, 37651, 280, 636, 291, 2596, 402, 710, 1647, 785, 280, 2047, 426, 291, 2596, 402, 710, 823, 785, 280, 47362, 291, 2596, 402, 710, 27207, 785, 280, 37651, 291, 6915, 81, 4254, 280, 630, 32, 371, 81, 9569, 81, 4254, 26, 4994, 27, 291, 415, 6915, 81, 4254, 44, 324, 2596, 402, 1454, 1015, 5459, 32, 3801, 81, 4330, 26, 4994, 81, 4254, 30, 6915, 81, 4254, 27, 291, 415, 636, 81, 4254, 44, 324, 2596, 402, 1454, 1015, 5459, 32, 3801, 81, 669, 426, 26, 426, 81, 4254, 30, 636, 81, 4254, 27, 291, 16852, 280, 630, 32, 2184, 32, 371, 463, 4330, 683, 291, 2596, 402, 1454, 1015, 5459, 32, 3801, 81, 426, 26, 426, 30, 636, 27, 291, 415, 646, 39529, 44, 324, 415, 630, 32, 23800, 81, 626, 668, 2262, 400, 2596, 402, 1454, 1015, 5459, 32, 3801, 81, 5609, 668, 346, 324, 415, 2152, 1020, 44, 400, 2596, 402, 1454, 1015, 5459, 32, 3801, 81, 3255, 26, 2094, 1020, 30, 2152, 1020, 27, 324, 415, 16852, 44, 400, 2596, 402, 1454, 1015, 5459, 32, 3801, 81, 4330, 463, 330, 474, 16852, 30, 330, 330, 474, 16852, 27, 324, 442, 37651, 30, 636, 81, 4254, 291, 617, 32133, 81, 2208, 81, 626, 668, 26, 1333, 402, 30, 39529, 27, 291, 415, 2152, 1020, 44, 324, 2596, 402, 1454, 1015, 5459, 32, 3801, 81, 3255, 26, 2094, 1020, 30, 2152, 1020, 27, 291, 415, 16852, 44, 324, 2596, 402, 1454, 1015, 5459, 32, 3801, 81, 4330, 463, 330, 474, 16852, 30, 330, 330, 474, 16852, 27, 291, 442, 37651, 30, 636, 81, 4254, 284, 665, 622, 81, 1055, 81, 878, 26, 784, 30, 2047, 426, 30, 636, 81, 6933, 711, 291, 442, 617, 15339, 101, 308, 266, 2297, 904, 101, 19188, 904, 308, 426, 81, 6933, 77, 34, 614, 2047, 426, 27, 203, 823, 21792, 2447, 3092, 265, 26, 2447, 3092, 265, 711, 284, 9958, 280, 4540, 3092, 265, 32, 9786, 474, 225, 35, 34, 284, 2830, 681, 280, 330, 107, 404, 487, 531, 25, 284, 3872, 387, 19673, 280, 330, 107, 404, 487, 531, 25, 284, 477, 17614, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 4, 4, 6, 6, 4, 4, 6, 6, 4, 4, 7, 6, 6, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 8, 8, 10, 10, 8, 12, 13, 11, 12, 12, 12, 10, 11, 10, 12, 12, 12, 12, 4, 4, 6, 6, 10, 11, 9, 10, 10, 10, 8, 9, 8, 10, 10, 10, 10, 4, 4, 6, 6, 4, 4, 8, 7, 9, 9, 6, 6, 7, 4, 4, 8, 7, 9, 9, 6, 6, 4, 4, 8, 7, 9, 9, 6, 6, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 8, 4, 4, 5, 6, 6, 5, 5, 5, 9, 8, 8, 11, 10, 11, 11, 11, 10, 11, 11, 11, 10, 10, 11, 11, 10, 4, 4, 5, 6, 6, 5, 5, 5, 9, 8, 8, 11, 10, 11, 11, 11, 11, 10, 11, 11, 11, 10, 10, 11, 11, 10, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 10, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 8, 9, 8, 8, 8, 4, 4, 5, 6, 5, 5, 5, 7, 9, 10, 10, 10, 10, 9, 7, 7, 11, 10, 10, 13, 12, 13, 13, 13, 13, 12, 6, 6, 7, 8, 7, 7, 7, 11, 10, 10, 13, 12, 13, 13, 13, 12, 13, 13, 12, 12, 13, 12, 6, 6, 7, 7, 7, 7, 11, 10, 10, 13, 12, 13, 13, 13, 12, 15, 13, 13, 12, 12, 15, 13, 13, 12, 6, 6, 7, 8, 8, 9, 9, 4, 4, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 4, 4, 5, 6, 5, 5, 5, 9, 8, 8, 11, 10, 11, 11, 11, 10, 11, 11, 10, 10, 11, 10, 4, 4, 5, 5, 5, 5, 9, 8, 8, 11, 10, 11, 11, 11, 10, 13, 11, 11, 10, 10, 13, 11, 11, 10, 4, 4, 5, 6, 6, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 10, 10, 10, 10, 10, 10, 10, 6, 6, 9, 9, 9, 8, 9, 8, 7, 8, 7, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 7, 7, 6, 7, 5, 5, 6, 6, 2, 2, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 3 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 1, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 1, 2, 0, 0, 2, 4, 4, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 11, 1, 1, 11, 11, 11, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 12, 1, 1, 12, 12, 12, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 15, 1, 15, 15, 15, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 3, 3, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 3, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 17, 1, 17, 17, 17, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 18, 18, 18, 18, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 19, 1, 1, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 5, 5, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 3, 2, 0, 7, 7, 1, 1, 1, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 3 ]
[ 1070, 4942, 32, 858, 32, 7494, 723, 32, 5646, 32, 2282, 32, 2837, 81, 2393, 1188, 7984, 2681, 1969, 203, 1070, 4942, 32, 858, 32, 7494, 723, 32, 5646, 32, 13080, 32, 1055, 1188, 19999, 1969, 203, 1070, 4942, 32, 858, 32, 7494, 723, 32, 5646, 32, 13080, 32, 3707, 1188, 22509, 8237, 1969, 203, 1070, 4942, 32, 858, 32, 7494, 723, 32, 4882, 32, 13080, 32, 1439, 81, 13080, 81, 858, 1188, 9390, 13018, 1006, 203, 823, 22509, 8237, 1969, 1006, 26, 13302, 13018, 1006, 711, 284, 24597, 280, 225, 36, 284, 665, 617, 2682, 81, 496, 26, 784, 30, 952, 711, 291, 1256, 280, 301, 324, 330, 699, 950, 952, 30, 324, 330, 1935, 950, 952, 474, 6640, 2763, 32, 508, 392, 324, 330, 2895, 950, 952, 474, 330, 35, 36, 37, 22, 16760, 25, 291, 320, 291, 7984, 2681, 1969, 26, 324, 630, 32, 7128, 30, 1289, 81, 3615, 47, 1815, 30, 324, 952, 47, 496, 32, 371, 463, 699, 1425, 4096, 47, 496, 32, 371, 463, 1935, 1425, 3882, 47, 496, 32, 371, 463, 2895, 683, 291, 6804, 8275, 346, 291, 442, 1256, 284, 665, 617, 1877, 81, 496, 26, 784, 30, 1256, 81, 1338, 711, 291, 7984, 2681, 1969, 26, 324, 630, 32, 7128, 30, 1289, 81, 3615, 47, 1815, 30, 1115, 496, 81, 1338, 291, 6804, 8275, 346, 284, 665, 14553, 26, 784, 30, 438, 81, 15989, 47, 2700, 711, 291, 2599, 26, 13018, 8237, 1969, 1006, 30, 630, 547, 23741, 26, 297, 81, 15989, 27, 291, 630, 32, 2455, 81, 496, 280, 630, 1114, 2682, 81, 496, 463, 2455, 683, 291, 630, 32, 7854, 81, 1637, 280, 19999, 1969, 26, 784, 32, 7128, 27, 291, 630, 32, 1637, 280, 22509, 8237, 1969, 26, 324, 630, 32, 7128, 30, 630, 32, 7632, 81, 1338, 710, 1088, 2188, 630, 32, 7632, 81, 1338, 710, 2171, 2188, 630, 32, 7632, 81, 1338, 710, 1945, 785, 291, 829, 291, 630, 1114, 1704, 81, 452, 81, 7632, 81, 5883, 81, 1637, 346, 284, 665, 617, 1704, 81, 452, 81, 7632, 81, 5883, 81, 1637, 26, 784, 711, 291, 630, 32, 1637, 32, 8275, 346, 291, 630, 32, 1637, 32, 1684, 81, 17785, 81, 1347, 81, 6696, 81, 18354, 346, 284, 665, 617, 8188, 81, 1637, 26, 784, 711, 291, 630, 32, 1637, 280, 22509, 8237, 1969, 26, 324, 630, 32, 7128, 30, 630, 32, 7632, 81, 1338, 710, 1088, 2188, 630, 32, 7632, 81, 1338, 710, 2171, 2188, 630, 32, 7632, 81, 1338, 710, 1945, 785, 291, 829, 291, 630, 1114, 1704, 81, 452, 81, 7632, 81, 5883, 81, 1637, 346, 284, 665, 617, 862, 81, 1700, 81, 7632, 26, 784, 30, 8702, 47, 1815, 711, 291, 630, 32, 7854, 81, 1637, 32, 8275, 346, 291, 32751, 280, 630, 32, 7854, 81, 1637, 32, 668, 81, 19013, 346, 291, 665, 1505, 81, 7632, 81, 34939, 26, 7632, 35, 30, 8419, 36, 711, 324, 442, 308, 400, 8419, 35, 710, 1088, 785, 610, 8419, 36, 710, 2751, 81, 12708, 785, 461, 400, 8419, 35, 710, 2171, 785, 610, 8419, 36, 710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 7, 7, 10, 10, 8, 7, 7, 7, 10, 10, 8, 9, 9, 11, 11, 11, 11, 7, 7, 10, 10, 8, 9, 9, 11, 11, 11, 11, 11, 11, 7, 7, 4, 4, 9, 9, 9, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 9, 10, 13, 12, 13, 12, 14, 14, 9, 10, 13, 12, 13, 12, 14, 14, 9, 10, 13, 12, 13, 12, 14, 14, 9, 9, 8, 7, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 9, 9, 9, 9, 9, 10, 11, 9, 9, 11, 11, 10, 11, 9, 9, 11, 11, 11, 9, 9, 8, 7, 2, 2, 3, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 9, 10, 10, 10, 10, 9, 9, 9, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 8, 8, 9, 10, 8, 8, 10, 11, 11, 11, 9, 11, 11, 8, 10, 11, 11, 11, 9, 11, 11, 8, 10, 11, 11, 11, 9, 11, 11, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 8, 8, 9, 10, 8, 8, 10, 11, 11, 11, 9, 11, 11, 8, 10, 11, 11, 11, 9, 11, 11, 8, 10, 11, 11, 11, 9, 11, 11, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 8, 9, 9, 9, 7, 8, 7, 4, 4, 6, 6, 9, 10, 10, 10, 8, 9, 9, 9, 8, 4, 4, 5, 6, 6, 6, 6, 6, 7, 7, 6, 6, 7, 6, 5, 5, 7, 8, 8, 13, 12, 14, 14, 11, 11, 13, 12, 14, 14, 14, 14, 10, 10, 10, 13, 12, 14, 14, 11, 11, 13, 12 ]
[ 0, 0, 1, 2, 1, 4, 4, 1, 6, 1, 8, 1, 10, 10, 10, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 6, 1, 8, 1, 10, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 4, 1, 6, 1, 8, 1, 10, 2, 2, 0, 0, 0, 3, 3, 1, 2, 1, 4, 4, 1, 6, 1, 8, 1, 10, 10, 10, 10, 10, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 0, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 5, 0, 0, 2, 1, 1, 2, 1, 7, 0, 0, 2, 1, 1, 2, 1, 9, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 4, 4, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 3, 2, 1, 2, 2, 0, 0, 3, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 3, 1, 2, 1, 0, 2, 2, 2, 5, 1, 2, 1, 0, 2, 2, 2, 7, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 3, 1, 2, 1, 0, 2, 2, 2, 5, 1, 2, 1, 0, 2, 2, 2, 7, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 6, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 6, 6, 0, 2, 2, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 24021, 2893, 280, 1524, 203, 1559, 203, 2116, 44, 35603, 8159, 299, 12641, 203, 525, 1237, 44, 6109, 2957, 203, 4021, 81, 2310, 44, 4688, 2551, 11028, 436, 9241, 21134, 13698, 2957, 2330, 203, 2310, 44, 334, 429, 1348, 4688, 2551, 3973, 7367, 4438, 372, 5008, 372, 13698, 2957, 2330, 284, 17532, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 42, 20, 203, 2184, 44, 334, 3051, 81, 983, 44, 284, 827, 44, 596, 284, 3048, 44, 397, 429, 19009, 322, 3894, 432, 322, 13698, 2957, 3051, 32, 284, 1244, 44, 3056, 4738, 2957, 25, 284, 14447, 44, 397, 429, 636, 44, 28520, 81, 525, 1237, 81, 4738, 2957, 81, 2388, 203, 2993, 203, 465, 2361, 203, 1070, 28520, 32, 1647, 81, 2304, 1114, 878, 1188, 372, 81, 878, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 4573, 32, 2282, 32, 2304, 1188, 372, 81, 668, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 3841, 1188, 9476, 924, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 25931, 32, 21332, 32, 39362, 32, 731, 1188, 4808, 924, 203, 1070, 28520, 32, 5558, 32, 525, 1237, 1188, 4688, 2551, 1761, 203, 11844, 81, 2319, 280, 330, 3164, 33, 21271, 31, 605, 29, 1260, 25, 203, 823, 4688, 2551, 26, 2217, 2551, 1761, 711, 284, 665, 3240, 81, 1357, 26, 784, 30, 706, 30, 1115, 1436, 81, 5321, 711, 291, 415, 706, 44, 324, 706, 280, 2361, 32, 16958, 26, 605, 27, 291, 1519, 280, 3056, 2473, 2524, 2009, 784, 32, 371, 81, 1762, 463, 2388, 81, 983, 1814, 38848, 3247, 1425, 1474, 81, 5321, 32, 371, 463, 983, 370, 31248, 94, 7201, 24667, 1130, 291, 4826, 280, 301, 324, 330, 1777, 31, 620, 950, 1474, 81, 5321, 32, 371, 463, 1286, 81, 681, 683, 556, 23339, 81, 2319, 30, 324, 330, 7071, 950, 1474, 81, 5321, 32, 371, 463, 7494, 683, 556, 23339, 81, 2319, 30, 291, 320, 291, 1789, 30, 1789, 81, 605, 280, 630, 32, 3841, 32, 2714, 26, 983, 30, 706, 30, 4826, 47, 5078, 30, 1411, 47, 1436, 81, 5321, 32, 371, 463, 1959, 2847, 291, 442, 2887, 81, 1986, 26, 1986, 30, 1789, 81, 605, 27, 203, 589, 2887, 81, 1986, 26, 1986, 30, 1789, 81, 605, 711, 284, 1596, 44, 291, 1789, 81, 605, 280, 2361, 32, 12474, 26, 1986, 81, 605, 32, 850, 1157, 284, 2940, 10091, 44, 291, 1789, 81, 605, 280, 1789, 81, 605, 32, 850, 346, 284, 415, 6937, 26, 1986, 30, 4808, 924, 711, 291, 415, 1789, 81, 605, 44, 324, 415, 330, 4275, 25, 328, 1789, 81, 605, 44, 400, 3878, 280, 1789, 81, 605, 710, 4275, 4902, 731, 785, 400, 1048, 81, 878, 280, 3228, 96, 2473, 2524, 1162, 731, 710, 731, 31, 1436, 785, 436, 1048, 328, 3878, 490, 324, 813, 44, 400, 1048, 81, 878, 280, 1789, 81, 605, 324, 3636, 9476, 924, 26, 731, 81, 878, 30, 1340, 47, 1986, 32, 687, 27 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 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, 0, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 1, 1, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 4, 6, 6, 6, 4, 3, 3, 5, 5, 5, 5, 8, 8, 10, 11, 10, 11, 10, 4, 4, 6, 6, 10, 9, 8, 14, 13, 14, 14, 14, 13, 15, 15, 15, 15, 12, 11, 13, 9, 14, 14, 13, 14, 13, 15, 15, 13, 12, 12, 11, 9, 4, 4, 6, 6, 7, 7, 10, 10, 10, 10, 8, 12, 12, 11, 12, 11, 13, 13, 13, 13, 9, 9, 10, 10, 7, 7, 7, 10, 10, 8, 12, 12, 11, 12, 11, 13, 13, 9, 9, 10, 10, 7, 7, 7, 4, 4, 7, 7, 8, 8, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 8, 8, 9, 10, 8, 8, 9, 12, 12, 12, 11, 12, 11, 13, 13, 4, 4, 5, 7, 7, 7, 8, 7, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 3, 3, 7, 7, 6, 6, 8, 9, 8, 11, 11, 11, 10, 11, 10, 3, 3, 4, 4, 4, 4, 8, 8, 7, 7, 10, 10, 9, 10, 9, 2, 2, 3, 5, 6, 5, 5, 6, 5, 3, 3, 5, 6, 6, 5, 5, 5, 7, 10, 10, 8, 8, 9, 9, 7, 7, 7, 10, 10, 13, 13, 12, 14, 14, 13, 13, 8, 8, 11, 11, 10, 10, 15, 14, 13, 12, 15, 14, 16, 16, 16, 16, 13, 14, 14, 14, 13, 7, 7, 8, 8, 8, 12, 12, 11, 11, 12, 12, 6, 6, 7, 9, 9, 10, 10, 10, 9, 9, 10, 12, 11, 12, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 3, 3, 0, 4, 4, 1, 2, 2, 2, 1, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 2, 2, 1, 4, 1, 6, 1, 8, 5, 5, 0, 0, 0, 6, 6, 1, 2, 2, 2, 1, 4, 6, 6, 0, 0, 7, 7, 1, 2, 2, 2, 1, 4, 1, 6, 1, 8, 1, 10, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 10, 10, 1, 2, 1, 1, 1, 2, 10, 10, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 7, 0, 0, 0, 0, 2, 1, 1, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 11, 11, 1, 1, 2, 1, 2, 2, 3, 3, 2, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1 ]
[ 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 823, 13462, 81, 5379, 81, 5983, 26, 500, 104, 32, 500, 104, 81, 5566, 711, 284, 617, 6815, 280, 330, 3935, 32, 1163, 32, 3550, 25, 284, 617, 6057, 280, 301, 291, 330, 1647, 81, 3935, 81, 7007, 1019, 81, 3524, 950, 3829, 32, 4398, 463, 2359, 1370, 10388, 1019, 372, 46743, 2664, 370, 324, 3049, 280, 2993, 1922, 16366, 8036, 645, 298, 1951, 21343, 1010, 2113, 284, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 1, 1, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2206, 465, 7763, 32, 41127, 203, 1070, 31741, 81, 1363, 32, 20481, 32, 4116, 1114, 331, 81, 4943, 10866, 1188, 5612, 10845, 10866, 203, 823, 5612, 10845, 10866, 2214, 26, 5792, 32, 2214, 711, 284, 443, 11985, 44, 291, 1542, 280, 5612, 10845, 10866, 291, 5547, 280, 3177, 284, 1340, 81, 1146, 81, 35050, 280, 7763, 32, 5897, 26, 5962, 310, 44, 6611, 34, 36, 86, 25, 904, 310, 27, 284, 17134, 280, 7763, 32, 41127, 32, 56, 25274, 7697, 26, 34, 30, 225, 35, 34, 30, 12485, 47, 35, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 3, 3, 3, 6, 6, 7, 7, 4, 4, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 7, 7, 7, 7, 10, 10, 10, 10, 8, 8, 6, 2, 2, 4, 4, 7, 8, 6, 7, 7, 7, 6, 7, 6, 6, 7, 7, 6, 6, 7, 8, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 1, 6, 6, 6, 6, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 18792, 32, 21332, 32, 39362, 32, 2208, 1188, 707, 7345, 203, 1070, 34574, 1188, 40946, 81, 619, 617, 203, 1070, 34574, 32, 3524, 32, 2304, 1188, 3497, 81, 14824, 81, 1986, 203, 1070, 34574, 32, 2282, 32, 1357, 81, 8774, 1188, 622, 81, 14824, 81, 1286, 81, 681, 203, 1070, 34574, 32, 2282, 32, 11202, 32, 12402, 1188, 3185, 81, 12402, 30, 2179, 81, 12402, 203, 1070, 34574, 32, 2282, 32, 2304, 1188, 562, 203, 1070, 34574, 32, 2282, 32, 15106, 1188, 1505, 81, 4519, 203, 1070, 34574, 32, 2282, 1188, 13383, 203, 1070, 34574, 32, 2282, 32, 525, 1188, 4808, 81, 3908, 81, 13195, 30, 4808, 81, 27802, 203, 1070, 34574, 32, 5866, 32, 13507, 32, 1439, 1188, 6926, 30, 4233, 81, 1338, 81, 2613, 30, 766, 284, 739, 81, 1338, 81, 2613, 203, 1070, 34574, 32, 2282, 32, 1586, 906, 1188, 4808, 19349, 30, 4808, 1868, 1337, 12759, 203, 1070, 34574, 32, 2282, 32, 1357, 81, 8774, 1188, 622, 81, 3731, 81, 2859, 81, 4254, 203, 823, 9035, 1917, 26, 1917, 711, 284, 2145, 81, 681, 280, 330, 3341, 25, 284, 665, 1156, 1664, 3207, 784, 30, 1123, 30, 3497, 81, 426, 30, 1115, 5321, 711, 291, 2599, 26, 3341, 1917, 30, 630, 14585, 1664, 3207, 725, 27, 291, 630, 32, 3524, 81, 426, 280, 707, 7345, 26, 3524, 81, 426, 27, 291, 415, 646, 630, 32, 725, 32, 4568, 81, 3524, 81, 9331, 44, 324, 630, 32, 11327, 81, 9147, 32, 2546, 463, 4747, 683, 324, 630, 32, 11327, 81, 9147, 32, 2546, 463, 6691, 683, 284, 665, 1015, 81, 329, 3246, 81, 1070, 81, 3731, 81, 4519, 26, 784, 30, 5127, 711, 291, 415, 5127, 32, 12757, 710, 7921, 81, 9544, 785, 328, 2726, 6896, 370, 330, 2788, 370, 330, 4747, 370, 330, 3705, 7831, 324, 5202, 280, 622, 81, 3731, 81, 2859, 81, 4254, 463, 3524, 683, 474, 330, 1262, 21113, 324, 636, 280, 330, 3560, 31, 2435, 25, 324, 308, 407, 426, 30, 629, 426, 27, 280, 2726, 106, 31, 3524, 21113, 474, 636, 30, 5202, 474, 636, 27, 324, 32634, 81, 2665, 280, 3185, 81, 12402, 26, 1648, 47, 36, 30, 706, 47, 5243, 32, 5078, 32, 3235, 26, 410, 426, 490, 324, 415, 32634, 81, 2665, 44, 38042, 5127, 32, 5078, 77, 407, 426, 79, 280, 2179, 81, 12402, 26, 528, 1503, 47, 36, 30, 32634, 81, 2665, 47, 12402, 81, 2665, 27, 284, 665, 6272, 271, 6896, 26, 784, 30, 3616, 711, 291, 415, 2069, 26, 784, 32, 3524, 81, 426, 27, 848, 13383, 32, 3459, 81, 19846, 81, 2474, 81, 9568, 44, 324, 5127, 280, 4808, 19349, 26, 1357, 47, 2403, 27, 324, 5127, 32, 1548, 280, 330, 3341, 636, 3104, 432, 904, 86, 8928, 2784, 904, 86, 25, 904, 766, 715, 308, 1657, 26, 784, 32, 3524, 81, 426, 471, 656, 13383, 32, 3459, 81, 19846, 81, 2474, 81, 9568, 27, 324, 442, 5127, 291, 9778, 280, 630, 32, 725, 32, 3524, 81, 2582, 32, 371, 81, 2050, 26, 784, 32, 3524, 81, 426, 27, 291, 35785, 280, 630, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 4, 2, 2, 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, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 2, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 6, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 8, 9, 9, 9, 8, 4, 4, 5, 6, 8, 9, 7, 8, 8, 8, 8, 8, 5, 5, 5, 10, 11, 11, 11, 9, 10, 9, 11, 11, 6, 6, 10, 11, 11, 11, 9, 10, 9, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 9, 9, 9, 9, 6, 6, 9, 9, 7, 9, 9, 7, 9, 9, 7, 9, 9, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 11, 13, 13, 9, 9, 11, 11, 6, 6, 8, 8, 10, 10, 10, 10, 6, 6, 10, 10, 9, 9, 10, 9, 8, 8, 12, 12, 12, 12, 10, 10, 9, 9, 10, 10, 9, 6, 6, 9, 9, 8, 8, 10, 10, 10, 12, 11, 12, 10, 10, 11, 15, 14, 15, 13, 14, 13, 14, 14, 13, 6, 6, 7, 8, 8, 7, 7, 7, 12, 13, 11, 12, 12, 11, 10, 10, 12, 12, 12, 12, 12, 13, 14, 12, 12, 14, 14, 13, 14, 14, 14, 12, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 10, 9, 10, 10, 10, 8, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 10, 10, 12, 11, 12, 10, 6, 6, 9, 10, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 10, 9, 12, 12, 14, 13, 14, 14, 14, 12, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 10, 6, 6, 7, 4, 4, 6, 6, 10, 11, 9, 10, 10, 10, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 6, 6, 10 ]
[ 0, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 1, 1, 1, 1, 0, 3, 3, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 7, 9, 0, 0, 0, 0, 0, 10, 10, 1, 2, 1, 4, 4, 10, 10, 0, 10, 10, 0, 0, 0, 0, 11, 11, 1, 2, 1, 4, 4, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 0, 0, 1, 1, 1, 2, 3, 3, 1, 1, 0, 0, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 4, 1, 1, 4, 4, 4, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0 ]
[ 9592, 203, 8312, 10017, 372, 1389, 544, 32, 2614, 11319, 623, 13092, 793, 284, 398, 4262, 37, 7592, 81, 2387, 32, 978, 203, 271, 284, 398, 4262, 37, 429, 95, 13092, 7592, 81, 2387, 32, 978, 203, 9592, 203, 465, 13092, 203, 589, 35216, 81, 3585, 26, 96, 711, 284, 442, 428, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 79, 203, 589, 894, 81, 42093, 81, 3585, 2262, 284, 1201, 1149, 26, 42093, 81, 3585, 26, 39, 490, 610, 428, 35, 30, 225, 36, 30, 225, 37, 30, 225, 38, 30, 225, 39, 79, 203, 589, 10858, 26, 362, 711, 284, 3097, 203, 589, 1289, 81, 29903, 26, 102, 711, 284, 3097, 203, 589, 25897, 81, 452, 81, 5431, 26, 102, 711, 284, 3097, 203, 589, 3632, 81, 1632, 81, 2135, 26, 83, 30, 323, 30, 281, 711, 284, 3097, 203, 589, 22980, 26, 101, 711, 284, 3097, 203, 589, 17859, 81, 29917, 26, 362, 711, 284, 3097, 203, 589, 11847, 26, 362, 711, 284, 3097, 203, 589, 11771, 81, 998, 26, 362, 711, 284, 3097, 203, 589, 21096, 26, 362, 81, 1028, 81, 362, 711, 284, 3097, 203, 589, 1994, 81, 507, 42888, 81, 1170, 81, 37, 26, 362, 711, 284, 3097, 203, 589, 4630, 81, 2282, 26, 362, 711, 284, 3097, 203, 589, 5436, 81, 9833, 26, 86, 711, 284, 3097, 203, 589, 19090, 81, 3292, 26, 20065, 711, 284, 665, 7533, 26, 2543, 1057, 20329, 7831, 291, 1188, 10446, 286, 274, 5092, 291, 442, 18623, 26, 8470, 286, 274, 5092, 30, 1994, 547, 6231, 81, 3292, 284, 3097, 203, 589, 17211, 26, 1449, 81, 1657, 711, 284, 5881, 284, 2616, 312, 2702, 1769, 81, 1657, 442, 1169, 28239, 432, 399, 9421, 70, 30, 1932, 432, 284, 3104, 225, 35, 30, 1615, 225, 36, 30, 6222, 1769, 81, 1657, 438, 16673, 284, 16298, 32, 276, 37, 967, 2107, 51, 370, 330, 53, 370, 330, 57, 370, 330, 70, 370, 330, 1186, 370, 330, 1614, 370, 330, 722, 370, 330, 9421, 370, 330, 935, 370, 330, 11502, 370, 330, 1186, 57, 370, 1090, 330, 3821, 370, 330, 1614, 70, 370, 330, 9421, 70, 785, 284, 5881, 284, 3097, 203, 589, 12994, 81, 28387, 26, 25437, 711, 284, 29085, 280, 301, 291, 330, 36, 34, 35, 43, 31, 34, 36, 31, 35, 38, 950, 301, 324, 330, 2739, 4880, 950, 261, 35, 34, 40, 30, 324, 330, 27738, 57, 950, 225, 35, 35, 36, 34, 30, 291, 801, 291, 330, 36, 34, 35, 43, 31, 34, 36, 31, 35, 39, 950, 301, 324, 330, 2739, 4880, 950, 261, 35, 34, 42, 30, 324, 330, 64, 3314, 74, 950, 261, 37, 39, 35, 30, 291, 801, 291, 330, 36, 34, 35, 43, 31, 34, 36, 31, 35, 42, 950, 301, 324, 330, 2739, 4880, 950, 261, 35, 34, 42, 30, 324, 330, 27738, 57, 950, 225, 35, 35, 35, 43, 30, 324, 330, 64, 3314, 74, 950, 261, 37, 39, 36, 30, 291, 801, 291, 330, 36, 34, 35, 43, 31, 34, 36, 31, 35, 43, 950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 4, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 6, 8, 8, 8, 8, 9, 8, 4, 4, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 5, 6, 5, 0, 1, 1, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 6, 5, 7, 7, 3, 3, 5, 7, 7, 7, 4, 4, 5, 8, 9, 9, 9, 9, 8, 8, 8, 7, 7, 7, 2, 2, 0, 1, 1, 2, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 10, 10, 10, 8, 9, 9, 9, 9, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 10, 10, 10, 8, 9, 9, 9, 9, 7, 7, 7, 10, 10, 10, 10, 8, 9, 9, 9, 7, 7, 7, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 3, 1, 1, 5, 1, 1, 7, 1, 1, 9, 1, 0, 3, 3, 1, 1, 1, 1, 2, 3, 3, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 2, 9, 2, 0, 4, 4, 2, 1, 2, 4, 4, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 6, 6, 1, 1, 1, 1, 2, 1, 2, 6, 6, 0, 7, 7, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 7, 7, 0, 8, 8, 2, 1, 2, 8, 8, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 10, 10, 2, 1, 2, 10, 10, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 12, 12, 2, 1, 1, 1, 1, 1, 2, 12, 12, 0, 13, 13, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 13, 13, 0, 14, 14, 1, 1, 2, 1, 2, 14, 14, 0, 15, 15, 1, 1, 2, 1, 2, 15, 15, 0, 16, 16, 1, 1, 2, 1, 2, 16, 16, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 17, 17, 2, 1, 1, 1, 2, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18, 18, 1, 1, 2, 1, 2, 18, 18, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 465, 5237, 203, 1070, 14755, 32, 3734, 1188, 9082, 265, 203, 1070, 14755, 32, 4295, 1188, 40722, 203, 1070, 14755, 32, 14481, 1188, 3182, 8312, 203, 823, 15591, 20624, 26, 20624, 711, 284, 665, 1156, 1664, 3207, 784, 30, 14755, 30, 1359, 711, 291, 2599, 26, 8104, 20624, 30, 630, 14585, 1664, 3207, 14550, 30, 1359, 27, 291, 630, 32, 26883, 280, 14755, 32, 605, 32, 2040, 81, 25822, 346, 284, 665, 3639, 26, 784, 30, 22112, 2548, 30, 28388, 47, 2521, 711, 291, 630, 32, 1809, 81, 687, 81, 9660, 26, 27914, 2548, 27, 291, 1769, 81, 426, 280, 1769, 2009, 1657, 26, 9802, 32, 426, 27, 436, 14234, 328, 630, 32, 687, 81, 9660, 79, 474, 428, 39, 1130, 291, 4550, 81, 426, 280, 313, 1784, 31, 904, 3210, 225, 313, 904, 1769, 81, 426, 291, 4550, 81, 530, 280, 5461, 101, 261, 904, 101, 44, 904, 101, 78, 96, 20, 291, 3338, 280, 308, 3972, 81, 426, 904, 313, 558, 657, 474, 313, 1258, 46729, 261, 488, 2660, 20, 291, 4550, 81, 14550, 280, 4550, 81, 426, 474, 5461, 40, 86, 904, 40, 86, 20, 291, 415, 630, 32, 26883, 44, 324, 3338, 1454, 313, 23745, 10349, 31597, 20, 324, 4550, 81, 14550, 1454, 313, 904, 40, 86, 904, 40, 86, 20, 291, 1861, 35, 34, 34, 280, 40722, 32, 1970, 81, 466, 81, 1644, 346, 291, 3338, 1454, 5461, 28, 101, 20, 904, 308, 1644, 35, 34, 34, 29, 38, 30, 313, 11428, 657, 291, 4550, 81, 14550, 1454, 313, 22503, 3210, 3253, 20, 904, 308, 1644, 35, 34, 34, 29, 37, 21713, 291, 415, 630, 32, 1163, 32, 2245, 81, 9785, 44, 324, 3338, 1454, 313, 261, 20871, 20, 324, 4550, 81, 14550, 1454, 313, 261, 904, 101, 20, 291, 5750, 280, 20869, 319, 2069, 26, 2111, 27, 474, 2706, 96, 20, 291, 3338, 1454, 2706, 96, 20, 291, 4550, 81, 14550, 1454, 2706, 96, 20, 291, 415, 646, 28388, 44, 324, 28388, 280, 5237, 32, 9362, 291, 28388, 32, 1821, 26, 2111, 27, 291, 28388, 32, 1821, 26, 5275, 27, 291, 3380, 280, 40722, 346, 291, 436, 14234, 328, 630, 32, 687, 81, 9660, 44, 324, 1596, 44, 400, 9209, 280, 630, 32, 14550, 1114, 25132, 26, 9802, 27, 400, 12958, 280, 9209, 32, 14951, 400, 2181, 280, 308, 9802, 32, 426, 30, 12958, 32, 96, 81, 23142, 30, 12958, 32, 96, 81, 9785, 27, 400, 415, 630, 32, 26883, 44, 528, 2181, 1454, 308, 14530, 32, 96, 81, 26883, 30, 12958, 32, 96, 81, 9785, 81, 26883, 27, 400, 2181, 1454, 308, 14530, 32, 1970, 81, 11973, 81, 466, 21713, 400, 415, 630, 32, 1163, 32, 2245, 81, 9785, 44, 528, 2181, 1454, 308, 11382, 32, 9785, 81, 18752, 1026, 27, 400, 28388, 32, 1821, 26, 3972, 81, 14550, 904, 2181, 27, 400, 3380, 1454, 12958, 324, 2940, 21300, 19497, 44, 4696, 400, 3636, 324, 2940, 44, 400, 3639, 81, 283, 280, 646, 630, 32, 1163, 32, 3617, 81, 4275, 400, 415, 3639, 81, 283, 44, 528, 5671, 30, 3124, 280, 5237, 32, 14806, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 8, 8, 8, 7, 8, 8, 7, 4, 4, 7, 7, 6, 6, 8, 12, 12, 14, 13, 14, 12, 10, 11, 11, 11, 12, 13, 13, 13, 10, 9, 9, 11, 10, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 4, 4, 6, 6, 10, 10, 10, 9, 9, 11, 11, 7, 7, 9, 9, 9, 9, 9, 9, 4, 4, 7, 7, 6, 6, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 4, 4, 5, 6, 7, 5, 5, 5, 8, 8, 10, 10, 10, 10, 6, 6, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 7, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 4, 4, 6, 6, 9, 9, 9, 7, 7, 10, 10, 10, 10, 9, 10, 8, 8, 10, 10, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 7, 7, 10, 10, 10, 10, 9, 10, 8, 4, 4, 5, 7, 8, 6, 7, 7, 7, 5, 5, 5, 8, 8, 10, 10, 10, 6, 6, 9, 9, 8, 8, 10, 10, 10, 10, 4, 4, 6, 6, 8, 8, 10, 11, 10, 7, 7, 10, 9, 4, 4, 6, 6, 9, 8, 4, 4, 7, 7, 6, 6, 9, 8, 4, 4, 5, 6, 5, 5, 5, 8, 8, 9, 10, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 8, 7, 8, 7, 4, 4, 6, 6, 8, 4, 4, 5, 5, 5, 6, 7, 7, 7, 5, 5, 5, 7, 7, 7, 10, 10, 13, 14, 12, 13, 12, 13, 12, 8, 8, 10, 10, 11, 12, 8, 8, 10, 10, 13, 12, 13, 11, 11, 12, 13, 13, 13, 11, 11, 12, 13, 13, 13, 11, 8, 8, 9, 10, 11, 9, 9, 9, 12, 12, 15, 14, 15, 15, 15, 13, 13, 14, 15, 15, 15, 15, 15, 13, 8, 8, 10, 10, 13, 12, 13, 13, 13, 13, 13, 11, 8, 8, 9, 11, 12, 10, 11, 11, 11, 9, 9, 9, 12, 12, 16, 15, 16, 16, 16, 15, 13, 8, 8, 11, 12, 11, 13, 13, 13, 12, 12, 11, 8, 8, 10, 10, 7, 7, 8, 9, 8, 8, 8, 8, 7, 7, 8, 8, 8, 12, 12, 11, 11, 12, 14, 15, 13, 14, 14, 14, 9, 9, 10, 11, 11, 10, 10, 10, 14, 14, 13, 13, 16, 17, 17 ]
[ 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 5, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 3, 2, 2, 2, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 2, 6, 6, 6, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 4, 4, 10, 0, 2, 1, 2, 2, 2, 10, 10, 10, 0, 0, 1, 1, 2, 3, 3, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 4, 4, 14, 1, 14, 14, 14, 0, 0, 2, 2, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 1, 4, 4, 18, 18, 18, 3, 2, 2, 2, 18, 18, 18, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 3, 3, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 5, 0, 2, 1, 2, 2, 2, 5, 5, 5, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 3, 1, 3, 3, 3, 3, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2 ]
[ 465, 6274, 30, 298, 5136, 30, 5237, 203, 19540, 280, 225, 34, 203, 589, 894, 81, 1831, 2262, 284, 3649, 23587, 284, 23587, 280, 225, 38, 36, 34, 34, 34, 284, 17469, 280, 6274, 32, 4290, 26, 7212, 27, 284, 17469, 32, 1945, 2095, 440, 858, 1298, 28201, 27311, 1026, 28363, 1157, 284, 1201, 23587, 610, 225, 38, 37, 34, 34, 34, 30, 23587, 284, 376, 280, 298, 5136, 32, 5773, 26, 15765, 27, 284, 376, 32, 7201, 81, 15615, 922, 3323, 81, 5136, 463, 1530, 426, 1814, 1216, 81, 5136, 346, 284, 376, 32, 1216, 81, 1282, 274, 307, 346, 284, 376, 32, 1216, 81, 1851, 483, 346, 203, 589, 8759, 2262, 284, 442, 23587, 28, 34, 32, 34, 34, 35, 203, 589, 894, 1298, 2262, 284, 3649, 23587, 284, 23587, 1454, 225, 43, 43, 284, 9332, 346, 11347, 284, 9332, 346, 11347, 284, 23587, 1454, 225, 35, 41, 35, 284, 10365, 564, 26, 35, 38, 27, 6797, 203, 589, 10365, 564, 26, 96, 711, 284, 3649, 23587, 284, 415, 310, 848, 225, 34, 44, 291, 23587, 1454, 310, 291, 442, 17476, 26, 96, 30, 10365, 564, 26, 96, 31, 35, 490, 284, 813, 44, 291, 23587, 1454, 225, 35, 35, 291, 442, 225, 35, 203, 589, 17476, 26, 83, 30, 323, 711, 284, 3649, 23587, 284, 23587, 1454, 225, 35, 284, 442, 312, 319, 323, 203, 589, 9332, 2262, 284, 3649, 23587, 284, 23587, 1454, 225, 35, 284, 9332, 35, 346, 9316, 284, 23587, 1454, 225, 36, 284, 9332, 35, 346, 9316, 284, 23587, 1454, 225, 40, 284, 9332, 36, 346, 9316, 284, 23587, 1454, 225, 37, 284, 9332, 36, 346, 9316, 284, 23587, 1454, 225, 36, 284, 9332, 36, 346, 9316, 284, 23587, 1454, 225, 39, 284, 9332, 36, 81, 40890, 346, 6019, 284, 23587, 1454, 225, 35, 203, 589, 9332, 35, 2262, 284, 3649, 23587, 284, 23587, 1454, 225, 35, 34, 284, 19326, 26, 53, 1026, 313, 3986, 657, 423, 3701, 23587, 1454, 225, 35, 43, 284, 20265, 280, 1605, 284, 20265, 32, 1689, 26, 38, 36, 27, 7693, 284, 5237, 32, 14806, 81, 1338, 346, 7693, 203, 589, 9332, 36, 81, 40890, 2262, 284, 9332, 36, 346, 9316, 284, 10365, 564, 26, 37, 27, 8240, 203, 589, 9332, 36, 2262, 284, 3649, 23587, 284, 23587, 1454, 225, 35, 35, 284, 19326, 26, 53, 1026, 313, 1632, 657, 423, 3701, 23587, 1454, 225, 35, 37, 284, 1361, 4313, 346, 10086, 284, 23587, 1454, 225, 35, 39, 203, 589, 1361, 4313, 2262, 284, 3649, 23587, 284, 23587, 1454, 225, 36, 284, 436, 595, 328, 2155, 26, 36, 711, 6019, 291, 1596, 44, 324, 390, 922, 3986, 7188, 291, 2940, 29316, 44, 324, 23587, 1454, 225, 37, 6019, 203, 823, 390, 44, 284, 665, 1156, 32110, 3207, 784, 30, 636, 711, 291, 3649, 23587, 291, 23587, 1454, 225, 35, 291, 3636, 29316, 203, 325, 1156, 426, 505, 610, 9602, 1831, 18018, 284, 894, 81, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 1, 1, 0, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 1, 1, 3, 2, 2, 4, 4, 5, 5, 5, 5, 5, 2, 2, 4, 4, 6, 7, 6, 7, 6, 2, 2, 5, 6, 6, 5, 7, 7, 7, 5, 7, 5, 7, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 3, 3, 2, 2, 4, 4, 7, 6, 7, 6, 7, 6, 2, 2, 9, 10, 10, 10, 9, 8, 8, 8, 7, 9, 9, 9, 6, 6, 6, 5, 2, 2, 5, 6, 6, 6, 6, 6, 5, 2, 2, 5, 6, 6, 6, 6, 5, 0, 1, 1, 2, 1, 1, 3, 4, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 1, 1, 3, 2, 2, 4, 4, 5, 5, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 4, 4, 5, 5, 5, 2, 2, 5, 5, 6, 6, 5, 0, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 2, 2, 3, 4, 4, 5, 3, 3, 3, 6, 6, 4, 4, 5, 7, 8, 7, 7, 9, 9, 11, 10, 11, 9, 3, 3, 4, 4, 4, 7, 7, 8, 8, 5, 5, 6, 7, 0, 1, 1, 2, 3, 2, 2, 2, 1, 1, 3, 2, 2, 4, 4, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 1, 1, 3, 2, 2, 4, 4, 5, 2, 2, 5, 5, 2, 2, 2, 4, 4, 5, 2, 2, 5, 5, 2, 2, 2, 4, 4, 5, 2, 2, 5, 5, 2, 2, 2, 4, 4, 5, 2, 2, 5, 5, 2, 2, 2, 4, 4, 5, 2, 2, 5, 5, 2, 2, 2, 4, 4, 5, 2, 2, 5, 5, 5, 5, 2, 2, 2, 4, 4, 5, 0, 1, 1, 2, 2, 1, 1, 3, 2, 2, 4, 4, 5, 5, 2, 2, 5, 7, 7, 5, 7, 7, 2, 2, 2, 4, 4, 5, 5, 2, 2, 4, 4, 2, 2, 5, 6, 5, 6, 6, 5, 2, 2, 2, 5, 6, 6, 6, 5, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 5, 5, 2, 2, 2, 5, 5, 6, 5, 0, 0, 1, 1, 2, 2, 1, 1, 3, 2, 2, 4, 4, 5, 5, 2, 2, 5, 7, 7, 5, 7, 7, 2, 2, 2, 4, 4, 5, 5, 2, 2, 5, 5, 2, 2, 2, 4, 4, 5, 5, 0, 1, 1, 2, 2, 1, 1, 3, 2, 2, 4, 4, 5, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 3, 5, 5, 5, 10, 9, 5, 5, 5, 6, 6, 6, 6, 9, 9, 10, 0, 0, 1, 1, 1, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 4, 4, 6, 6, 7, 4, 4, 5, 0, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 4, 4, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 1, 0, 3, 3, 2, 3, 3, 0, 1, 2, 2, 2, 2, 2, 0, 4, 4, 1, 2, 4, 4, 0, 4, 4, 0, 0, 2, 2, 4, 4, 1, 4, 4, 4, 1, 4, 4, 4, 0, 0, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 0, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 4, 4, 1, 1, 1, 2, 1, 1, 1, 0, 0, 3, 3, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 2, 1, 1, 0, 6, 6, 2, 1, 2, 2, 2, 6, 6, 0, 4, 4, 0, 0, 2, 4, 4, 2, 1, 1, 0, 7, 7, 2, 7, 7, 0, 4, 4, 0, 0, 2, 4, 4, 0, 1, 4, 4, 4, 0, 0, 2, 4, 4, 0, 1, 4, 4, 4, 0, 0, 2, 4, 4, 0, 1, 4, 4, 4, 0, 0, 2, 4, 4, 0, 1, 4, 4, 4, 0, 0, 2, 4, 4, 0, 1, 4, 4, 4, 0, 0, 2, 4, 4, 0, 0, 0, 1, 4, 4, 4, 0, 0, 2, 0, 8, 8, 1, 2, 8, 8, 0, 4, 4, 0, 0, 2, 2, 4, 4, 1, 0, 1, 1, 1, 2, 4, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 4, 0, 2, 2, 2, 1, 0, 0, 9, 9, 1, 1, 1, 2, 9, 9, 0, 1, 4, 4, 4, 0, 1, 1, 1, 0, 0, 10, 10, 1, 2, 10, 10, 0, 4, 4, 0, 0, 2, 2, 4, 4, 1, 0, 1, 1, 1, 2, 4, 4, 4, 0, 0, 2, 2, 4, 4, 0, 1, 4, 4, 4, 0, 0, 2, 2, 0, 11, 11, 1, 2, 11, 11, 0, 4, 4, 0, 0, 2, 4, 4, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 3, 3, 3, 3, 0, 0, 2, 0, 0, 12, 12, 12, 12, 12, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 4, 4, 0, 0, 2, 4, 4, 2, 0, 13, 13, 0, 0, 1, 1, 1, 1, 13, 13, 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 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 2322, 203, 1070, 9991, 32, 8524, 1188, 15798, 203, 1070, 9991, 32, 8524, 32, 3613, 1188, 7841, 30, 4395, 81, 1676, 203, 1070, 28520, 32, 4275, 1188, 35603, 2825, 924, 30, 14465, 81, 8352, 30, 35603, 974, 5965, 203, 1070, 28520, 32, 26801, 32, 14909, 1188, 35603, 17820, 924, 203, 1070, 28520, 32, 1647, 81, 2304, 1114, 878, 1188, 372, 81, 878, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 25931, 1188, 19430, 37, 203, 1070, 9991, 32, 3613, 32, 14909, 81, 4313, 1188, 3319, 17820, 7792, 203, 1070, 28520, 32, 26801, 32, 41274, 1188, 45402, 203, 1070, 9991, 32, 3613, 32, 983, 1188, 4395, 81, 311, 2173, 459, 983, 81, 16967, 203, 823, 2108, 34458, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 291, 630, 1114, 4554, 280, 45402, 346, 284, 477, 2675, 463, 500, 32, 983, 32, 4658, 683, 284, 665, 894, 505, 297, 81, 4298, 26, 784, 30, 298, 81, 4658, 711, 291, 298, 81, 4658, 32, 2671, 81, 7469, 280, 9254, 298, 44, 298, 610, 323, 1330, 445, 81, 983, 33, 8246, 33, 1831, 32, 7070, 25, 291, 630, 32, 6549, 26, 784, 1114, 4554, 1114, 297, 81, 4298, 463, 858, 81, 983, 33, 8246, 2847, 291, 630, 32, 6549, 26, 784, 1114, 4554, 1114, 297, 81, 4298, 463, 858, 81, 983, 33, 2847, 284, 477, 2675, 32, 1473, 26, 34458, 30, 7610, 371, 81, 761, 81, 8078, 683, 284, 665, 894, 81, 2208, 81, 1260, 81, 1070, 81, 761, 26, 784, 30, 4395, 81, 589, 711, 291, 4395, 81, 589, 32, 601, 81, 853, 280, 308, 84, 2993, 2367, 83, 563, 225, 35, 30, 313, 84, 563, 225, 36, 30, 313, 85, 563, 225, 37, 111, 37616, 2933, 27, 291, 1688, 280, 630, 1114, 4554, 32, 944, 81, 1070, 81, 761, 463, 11215, 81, 1260, 32, 2760, 683, 291, 630, 32, 5299, 26, 2024, 30, 5436, 26, 83, 47, 35, 30, 323, 47, 36, 30, 281, 47, 37, 490, 284, 477, 2675, 32, 1473, 26, 34458, 30, 7610, 371, 81, 761, 81, 8078, 683, 284, 665, 894, 81, 2208, 81, 6045, 81, 1070, 81, 761, 26, 784, 30, 4395, 81, 589, 711, 291, 4395, 81, 589, 32, 601, 81, 853, 280, 308, 84, 2993, 291, 312, 44, 225, 35, 291, 323, 44, 225, 36, 291, 281, 44, 225, 37, 291, 3330, 392, 2933, 27, 291, 1688, 280, 630, 1114, 4554, 32, 944, 81, 1070, 81, 761, 463, 11215, 81, 6045, 32, 2760, 683, 291, 630, 32, 5299, 26, 2024, 30, 5436, 26, 83, 47, 35, 30, 323, 47, 36, 30, 281, 47, 37, 490, 284, 477, 2675, 32, 1473, 26, 34458, 30, 7610, 371, 81, 761, 81, 8078, 683, 284, 665, 894, 81, 2208, 81, 5066, 81, 1070, 81, 761, 26, 784, 30, 4395, 81, 589, 711, 291, 4395, 81, 589, 32, 601, 81, 853, 280, 308, 84, 2993, 291, 13404, 44, 324, 10420, 3083, 2370, 27220, 291, 3330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 2, 2, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 9, 9, 8, 9, 9, 9, 7, 7, 8, 8, 8, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 8, 12, 11, 12, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 12, 5, 5, 8, 9, 8, 12, 11, 12, 10, 11, 11, 11, 10, 12, 12, 12, 12, 12, 2, 2, 7, 6, 7, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 9, 9, 8, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 5, 5, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 8, 9, 8, 8, 10, 12, 11, 12, 10, 10, 11, 12, 10, 10, 11, 12, 10, 2, 2, 7, 6, 7, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 9, 9, 8, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 5, 5, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 11, 11, 5, 5, 8, 9, 8, 9, 8, 8, 10, 12, 11, 12, 10, 10, 11, 12, 10, 10, 11, 12, 10, 2, 2, 7, 6, 7, 6, 7, 6, 6, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 4, 4, 9, 9, 8, 9, 9, 9, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 4, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 5, 5, 1, 2, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 4, 6, 6, 0, 0, 0, 7, 7, 1, 2, 2, 2, 1, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 2, 2, 1, 4, 8, 8, 0, 0, 9, 9, 1, 2, 1, 4, 4, 4, 9, 9, 0, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 1, 2, 0, 1, 2, 2, 12, 12, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 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, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37632, 14507, 81, 26580, 280, 5053, 4519, 81, 1648, 950, 330, 35, 32, 35, 370, 528, 330, 1517, 950, 2107, 8687, 2188, 528, 330, 7095, 81, 1170, 950, 330, 11863, 6040, 203, 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 6524, 639, 81, 476, 760, 203, 4021, 81, 2310, 44, 31580, 595, 9154, 10160, 3449, 7896, 544, 312, 26166, 31, 2027, 32, 203, 2310, 44, 334, 429, 31580, 595, 9154, 10160, 3449, 7896, 544, 312, 26166, 31, 2027, 32, 203, 1648, 81, 11043, 44, 313, 36, 32, 36, 20, 203, 2184, 44, 334, 1795, 44, 284, 3048, 44, 397, 429, 5076, 1654, 4174, 432, 330, 1617, 370, 6900, 322, 7299, 432, 600, 595, 3842, 7029, 372, 291, 322, 3191, 786, 32, 1348, 438, 436, 4281, 2078, 30, 1273, 883, 526, 1654, 623, 291, 11470, 10252, 436, 7991, 8640, 556, 623, 17948, 32, 21428, 1591, 291, 432, 390, 26, 1617, 27, 556, 390, 26, 1286, 27, 2298, 526, 3943, 32, 334, 2297, 44, 284, 3048, 44, 397, 429, 886, 26166, 31, 2027, 2297, 372, 1015, 322, 595, 3842, 372, 32, 284, 2129, 44, 2933, 284, 16682, 44, 397, 429, 456, 6546, 397, 429, 485, 6546, 334, 636, 44, 284, 3048, 44, 397, 429, 886, 636, 432, 322, 595, 3842, 32, 284, 2129, 44, 2933, 334, 1561, 44, 284, 3048, 44, 397, 429, 886, 595, 3842, 803, 372, 21660, 461, 7623, 372, 322, 26166, 31, 2027, 32, 21428, 1591, 291, 432, 390, 26, 1617, 27, 556, 390, 26, 1286, 27, 2298, 526, 3943, 32, 284, 2129, 44, 2933, 334, 1603, 44, 284, 3048, 44, 397, 429, 14071, 322, 595, 3842, 1395, 2307, 556, 646, 32, 284, 1244, 44, 5024, 284, 16682, 44, 397, 429, 5024, 397, 429, 40118, 203, 8886, 44, 334, 429, 33242, 322, 296, 39, 31, 4968, 4865, 2652, 544, 322, 3408, 32, 1348, 438, 619, 8792, 619, 284, 10773, 2443, 296, 39, 31, 4968, 32, 203, 9971, 81, 10270, 81, 9854, 44, 296, 39, 203, 15965, 44, 334, 429, 296, 39, 31, 4968, 203, 2116, 44, 334, 429, 23111, 559, 417, 98, 11931, 85, 2158, 14439, 34, 34, 41, 27, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 31, 636, 44, 2222, 322, 595, 3842, 14549, 328, 3079, 29816, 32, 35795, 372, 322, 498, 9027, 2297, 334, 6524, 639, 81, 476, 760, 44, 397, 1795, 44, 17610, 11470, 463, 2387, 370, 330, 476, 760, 32, 35795, 683, 7397, 397, 2297, 44, 313, 2159, 95, 20, 397, 636, 44, 313, 3758, 91, 3842, 20, 397, 3882, 44, 313, 7241, 20, 397, 2145, 44, 313, 8902, 32, 1772, 4116, 32, 508, 20, 397, 1603, 44, 313, 2689, 20, 397, 1256, 44, 313, 2300, 20, 334, 11165, 81, 452, 44, 18339, 203, 31, 636, 44, 2222, 322, 595, 3842, 14549, 328, 907, 803, 29816, 32, 35795, 372, 322, 498, 9027, 2297, 334, 6524, 639, 81, 476, 760, 44, 397, 2297, 44, 313, 2159, 95, 20, 397, 636, 44, 313, 3758, 91, 3842, 20, 397, 3882, 44, 313, 7241, 20, 397, 2145, 44, 313, 8902, 32, 1772, 4116, 32, 508, 20, 397, 1561, 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, 3, 3, 2, 2, 6, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 6, 6, 4, 7, 7, 3, 3, 6, 6, 6, 6, 4, 6, 6, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 2, 5, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 465, 2322, 203, 1070, 15798, 1188, 7116, 2797, 30, 7116, 23093, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 1199, 1188, 4549, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 1199, 32, 3378, 32, 8239, 1188, 21694, 30, 26911, 203, 1070, 8527, 32, 12023, 32, 21031, 32, 12079, 1188, 475, 203, 1070, 8527, 32, 1199, 1188, 3182, 10323, 924, 30, 3387, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 8239, 1188, 23894, 203, 1070, 8527, 32, 858, 1188, 19205, 30, 7116, 2797, 1996, 4228, 30, 7116, 23093, 1996, 4228, 203, 1070, 4377, 2304, 1188, 12059, 1006, 13976, 30, 31751, 30, 2364, 21031, 30, 23667, 659, 203, 1070, 638, 3378, 1188, 17118, 30, 34097, 30, 23040, 687, 203, 823, 16281, 7944, 1006, 26, 7233, 711, 284, 37743, 280, 2107, 4332, 785, 284, 665, 894, 34, 35, 81, 12940, 81, 944, 26, 784, 711, 291, 313, 23639, 12266, 7944, 5359, 3892, 10273, 3107, 291, 630, 32, 5299, 26, 42, 30, 17118, 32, 5740, 32, 998, 1157, 284, 477, 5961, 2797, 26, 20847, 659, 30, 313, 2166, 269, 905, 13658, 4163, 1330, 2193, 7291, 2779, 9016, 623, 26911, 4684, 7144, 284, 477, 5961, 23093, 1996, 4228, 440, 25166, 81, 31818, 81, 6414, 9016, 392, 313, 25166, 81, 8018, 81, 300, 402, 31320, 657, 284, 665, 894, 34, 36, 81, 8018, 81, 10122, 26, 784, 711, 291, 313, 10855, 7291, 11470, 2193, 544, 2979, 31, 1493, 12266, 7944, 3829, 3107, 291, 1288, 280, 23040, 687, 32, 5740, 32, 371, 26, 687, 1057, 41, 41, 34, 34, 36, 683, 291, 34237, 35, 280, 1149, 26, 11119, 32, 5740, 5556, 638, 2029, 26, 1493, 505, 8018, 81, 23825, 4310, 108, 32, 8541, 30, 475, 26, 4537, 47, 39, 34, 34, 2610, 5556, 638, 1174, 81, 1170, 463, 426, 683, 5556, 638, 2810, 81, 668, 463, 426, 370, 11913, 47, 1815, 490, 291, 34237, 36, 280, 1149, 26, 11119, 32, 5740, 5556, 638, 2029, 26, 1493, 505, 86, 20490, 4310, 108, 32, 8541, 30, 475, 26, 4537, 47, 39, 34, 34, 2610, 5556, 638, 1174, 81, 1170, 463, 426, 683, 5556, 638, 2810, 81, 668, 463, 426, 370, 11913, 47, 1815, 490, 291, 436, 34237, 328, 428, 31791, 35, 30, 34237, 36, 2786, 324, 630, 32, 5299, 4901, 54, 464, 302, 370, 330, 58, 644, 35365, 370, 330, 7558, 36294, 15815, 17118, 2188, 34237, 27, 284, 477, 5961, 23093, 26, 1526, 21031, 30, 313, 2272, 438, 312, 6401, 31611, 31, 10265, 894, 657, 284, 665, 894, 34, 38, 81, 5790, 81, 18246, 81, 8239, 26, 784, 711, 291, 313, 42098, 4093, 14735, 884, 19565, 436, 15568, 549, 4442, 5535, 544, 12266, 7944, 3829, 3107, 291, 1288, 280, 23040, 687, 32, 5740, 32, 371, 26, 687, 1057, 41, 41, 34, 34, 36, 683, 291, 623, 630, 32, 23895, 26, 22239, 711, 324, 17118, 32, 5740, 32, 2029, 26, 1493, 505, 20490, 47, 108, 32, 8541, 547, 998, 346, 291, 623, 630, 32, 23895, 26, 22239, 711, 324, 17118, 32, 5740, 32, 2029, 26, 1493, 505, 33898, 47, 108, 32, 8541, 547, 998, 346, 291, 13663, 875, 280, 17118, 32, 5740 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 8, 7, 8, 7, 7, 10, 11, 9, 10, 9, 2, 2, 6, 6, 6, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 11, 10, 11, 9, 10, 9, 11, 10, 12, 12, 12, 12, 12, 12, 5, 5, 8, 7, 7, 9, 17, 16, 17, 15, 15, 16, 15, 17, 17, 17, 17, 17, 16, 19, 18, 19, 17, 17, 19, 21, 20, 21, 21, 21, 19, 13, 13, 14, 14, 14, 13, 15, 15, 11, 11, 12, 12, 12, 11, 13, 13, 11, 12, 13, 11, 5, 5, 8, 7, 7, 9, 17, 16, 17, 15, 15, 16, 15, 17, 17, 17, 17, 16, 19, 18, 19, 17, 17, 19, 21, 20, 21, 21, 21, 19, 13, 13, 14, 14, 14, 13, 15, 15, 11, 11, 12, 12, 12, 11, 13, 13, 11, 12, 13, 11, 5, 5, 6, 6, 6, 8, 8, 7, 7, 8, 7, 6, 6, 10, 11, 10, 13, 13, 13, 13, 11, 13, 13, 13, 13, 11, 13, 13, 13, 13, 13, 10, 10, 2, 2, 6, 6, 6, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 7, 11, 10, 11, 9, 10, 9, 11, 10, 12, 12, 12, 12, 12, 12, 5, 5, 6, 10, 11, 10, 11, 10, 6, 6, 13, 14, 12, 13, 12, 14, 14, 14, 13, 15, 14, 15, 12, 11, 10, 5, 5, 6, 10, 11, 10, 11, 10, 6, 6, 13, 14, 12, 13, 12, 14, 14, 14, 13, 15, 14, 15, 12, 11, 10, 5, 5, 8, 7, 7, 10, 11 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 4, 1, 6, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 6, 1, 8, 1, 10, 3, 3, 3, 3, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 0, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 2, 1, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 4, 4, 3, 0, 2, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 4, 4, 0, 0, 0, 0, 2 ]
[ 465, 298, 11321, 32, 1237, 203, 4911, 689, 32, 1237, 32, 1664, 26, 284, 2965, 347, 525, 555, 35, 43, 36, 32, 35, 40, 42, 32, 35, 32, 36, 40, 392, 284, 10677, 47, 440, 4191, 392, 313, 7414, 1102, 31, 17252, 31, 24485, 11596, 1216, 81, 9147, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 2, 3, 0, 7, 7, 6, 7, 5, 6, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 7, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 5741, 203, 465, 2361, 203, 465, 3995, 203, 465, 1933, 203, 1070, 12870, 81, 5379, 1188, 2869, 81, 800, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 816, 1647, 32, 106, 81, 1647, 1188, 1593, 2459, 30, 3849, 3791, 1438, 81, 11483, 203, 1070, 816, 1647, 32, 1294, 81, 1647, 1188, 16289, 4327, 203, 1070, 816, 1521, 32, 4151, 1188, 22148, 30, 892, 30, 4401, 30, 5069, 30, 14580, 30, 1682, 203, 1070, 5205, 83, 32, 31415, 470, 1690, 1188, 32458, 1397, 203, 1070, 8527, 32, 2304, 32, 916, 1188, 15820, 203, 751, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 823, 390, 27644, 1855, 58, 1146, 4140, 26, 1473, 711, 284, 1401, 81, 4915, 280, 2933, 284, 2047, 7309, 280, 892, 26, 4756, 1057, 652, 313, 1815, 20, 5681, 2700, 20, 429, 6206, 1196, 2047, 7726, 370, 4576, 47, 5504, 32, 1286, 30, 2855, 1244, 1057, 2700, 683, 284, 4588, 280, 892, 26, 4756, 1057, 652, 313, 1815, 20, 5681, 2700, 20, 429, 6972, 4609, 48369, 370, 4576, 47, 5504, 32, 1286, 30, 4511, 1244, 1057, 2700, 683, 284, 27826, 280, 14580, 26, 4756, 1057, 51, 9473, 6621, 1169, 322, 4523, 27826, 6418, 4576, 47, 5504, 32, 1286, 30, 1244, 1279, 1748, 284, 2047, 81, 3926, 280, 14580, 26, 4756, 1057, 51, 9473, 6621, 27826, 4204, 2014, 299, 27869, 370, 4576, 47, 5504, 32, 1286, 30, 3486, 1244, 1279, 1748, 284, 14230, 81, 3174, 280, 4401, 26, 4756, 1057, 10562, 372, 1650, 27826, 6418, 4576, 47, 5504, 32, 1286, 30, 1244, 47, 34, 27, 284, 4552, 81, 21750, 280, 1682, 26, 4756, 1057, 51, 1149, 432, 27826, 43770, 6418, 4576, 47, 5504, 32, 496, 81, 1293, 30, 1244, 6020, 1130, 284, 1256, 81, 46139, 280, 1682, 26, 4756, 1057, 51, 1149, 432, 4552, 44558, 370, 4576, 47, 5504, 32, 496, 81, 1293, 30, 1244, 6020, 1130, 284, 1256, 81, 104, 14192, 280, 5069, 26, 4756, 1057, 33304, 415, 322, 1256, 1401, 354, 14192, 544, 458, 3708, 556, 646, 6418, 656, 4576, 47, 5504, 32, 496, 81, 1293, 30, 1244, 47, 2700, 27, 203, 823, 390, 27644, 1855, 58, 1146, 2459, 26, 53, 27644, 1855, 58, 1146, 4140, 30, 1593, 2459, 711, 284, 4269, 81, 823, 280, 330, 85, 27644, 1855, 81, 90, 1146, 25, 284, 9712, 280, 5053, 11354, 950, 428, 3142, 81, 800, 4064, 426, 7642, 330, 2079, 33, 85, 27644, 1855, 81, 90, 1146, 33, 2751, 32, 11354, 683, 6653, 284, 4060, 280, 5053, 24280, 950, 428, 3142, 81, 800, 4064, 426, 7642, 330, 754, 33, 1617, 33, 85, 27644, 1855, 81, 90, 1146, 33, 2751, 32, 24280, 36977, 616, 330, 754, 950, 1605, 111, 284, 4060, 81, 1647, 81, 426, 280, 313, 58, 1146, 20, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 53, 27644, 1855, 58, 1146, 2459, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 1596, 44, 324, 43516, 280, 630, 32, 371, 81, 2751, 81, 3028, 8532, 34, 997, 94, 2219, 32, 31415, 8325, 32, 2810, 8532, 34, 79, 291, 2940, 308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 2, 2, 5, 4, 4, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 9, 8, 9, 6, 6, 6, 7, 9, 9, 2, 2, 4, 4, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 9, 8, 9, 6, 6, 6, 7, 9, 9, 2, 2, 4, 4, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 9, 8, 9, 6, 6, 7, 8, 2, 2, 5, 5, 4, 4, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 7, 9, 8, 9, 6, 6, 6, 7, 8, 2, 2, 5, 5, 4, 4, 6, 8, 7, 9, 9, 9, 9, 9, 6, 7, 9, 8, 9, 6, 6, 7, 8, 6, 2, 2, 5, 5, 4, 4, 6, 8, 7, 9, 9, 9, 9, 9, 9, 6, 7, 9, 8, 9, 9, 9, 6, 6, 7, 8, 2, 2, 5, 5, 4, 4, 6, 8, 7, 9, 9, 9, 9, 9, 9, 6, 7, 9, 8, 9, 9, 9, 6, 6, 7, 8, 2, 2, 5, 5, 5, 4, 4, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 8, 9, 9, 9, 6, 6, 7, 8, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 4, 4, 8, 8, 6, 9, 9, 9, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 7, 2, 2, 4, 4, 8, 8, 6, 9, 9, 9, 9, 10, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 5, 5, 8, 8, 6, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 5, 5, 5, 8, 8, 16, 17, 17, 17, 17, 17, 16, 15, 14, 14, 14, 12, 13, 13, 11, 12, 11, 10, 9, 5, 5, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 6, 6, 0, 1, 2, 2, 2, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 1, 2, 2, 2, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 9, 9, 0, 1, 2, 2, 2, 9, 9, 0, 0, 10, 10, 1, 2, 1, 4, 10, 10, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 12, 12, 1, 1, 1, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 1, 1, 1, 5, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 1, 1, 1, 5, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 5, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 1, 1, 1, 5, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 5, 2, 1, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 1, 5, 2, 4, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 3, 0, 2, 2, 2, 2, 1, 1, 5, 2, 4, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 2, 2, 2, 2, 1, 1, 5, 2, 1, 0, 13, 13, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 13, 13, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 4, 4, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 3 ]
[ 465, 316, 203, 465, 1133, 203, 1070, 42406, 1188, 9637, 35, 203, 465, 309, 1226, 864, 704, 203, 1070, 309, 1226, 864, 704, 1188, 4082, 203, 1070, 309, 1226, 864, 704, 32, 11452, 1188, 538, 203, 1070, 309, 1226, 864, 704, 32, 13606, 1188, 1913, 81, 731, 81, 687, 203, 1070, 5034, 32, 84, 4434, 1188, 323, 4434, 30, 323, 5460, 203, 1070, 5034, 1188, 5167, 203, 823, 12671, 1486, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 636, 30, 3408, 47, 2521, 30, 952, 47, 2521, 30, 3882, 47, 2521, 30, 3115, 81, 965, 47, 2521, 711, 291, 630, 32, 426, 280, 636, 291, 630, 32, 699, 280, 309, 1226, 864, 704, 32, 37954, 10519, 81, 19452, 415, 952, 438, 1665, 813, 952, 291, 630, 32, 2895, 280, 309, 1226, 864, 704, 32, 37954, 10519, 81, 13001, 415, 3882, 438, 1665, 813, 3882, 291, 630, 32, 2035, 280, 309, 1226, 864, 704, 32, 37954, 10519, 81, 8472, 415, 3408, 438, 1665, 813, 3408, 291, 630, 32, 2988, 81, 965, 280, 309, 1226, 864, 704, 32, 37954, 10519, 81, 19163, 81, 2413, 415, 3115, 81, 965, 438, 1665, 813, 3115, 81, 965, 291, 630, 32, 965, 280, 1665, 291, 630, 32, 1986, 280, 1665, 291, 630, 32, 2393, 280, 1665, 291, 630, 32, 2135, 81, 1003, 280, 1133, 32, 1003, 346, 291, 630, 32, 2848, 280, 5167, 32, 2848, 26, 2393, 4310, 784, 32, 699, 30, 630, 32, 2895, 471, 5457, 47, 40, 34, 27, 284, 665, 617, 1357, 26, 784, 30, 1411, 1057, 371, 370, 2803, 34444, 706, 47, 2521, 30, 2276, 47, 2521, 711, 291, 415, 1133, 32, 1003, 346, 848, 630, 32, 2135, 81, 1003, 474, 225, 35, 42, 34, 34, 556, 646, 630, 32, 2393, 44, 324, 630, 32, 2135, 81, 1003, 280, 1133, 32, 1003, 346, 324, 630, 1114, 371, 81, 2393, 346, 291, 4082, 32, 751, 26, 784, 32, 426, 474, 1044, 950, 4448, 318, 312, 330, 474, 1411, 32, 7607, 346, 474, 330, 3387, 372, 1984, 10699, 630, 32, 965, 474, 330, 623, 21756, 47, 330, 474, 596, 26, 2132, 27, 474, 330, 2398, 1057, 474, 596, 26, 605, 415, 706, 813, 330, 2521, 11968, 34, 44, 43, 43, 79, 474, 2726, 34196, 415, 2069, 26, 605, 415, 706, 813, 330, 2521, 683, 848, 225, 35, 34, 34, 813, 12304, 4082, 32, 2897, 27, 291, 415, 646, 630, 32, 2393, 44, 324, 4082, 32, 751, 26, 784, 32, 426, 474, 1044, 950, 16328, 48328, 27615, 12228, 25, 1717, 4082, 32, 2930, 27, 324, 442, 3177, 291, 1596, 44, 324, 630, 32, 1986, 280, 630, 32, 2848, 3667, 371, 4890, 3207, 1959, 2502, 784, 32, 965, 30, 2803, 47, 2132, 30, 706, 47, 605, 30, 2276, 47, 2536, 27, 291, 2940, 5167, 32, 11452, 32, 2798, 924, 30, 484, 44, 324, 4082, 32, 751, 26, 784, 32, 426, 474, 1044, 950, 23382, 372, 5008, 330, 474, 327, 26, 87, 471, 4082, 32, 2930, 27, 324, 442, 3177, 291, 2940, 308, 9698, 32, 11452, 32, 9085, 3694, 30, 5167, 32, 11452, 32, 3817, 2413, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 5, 6, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 8, 8, 7, 7, 4, 4, 7, 8, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 8, 8, 7, 7, 4, 4, 7, 8, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 7, 7, 8, 8, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 8, 8, 7, 7, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 8, 10, 9, 12, 11, 12, 10, 10, 11, 12, 10, 10, 9, 10, 10, 8, 2, 2, 3, 4, 4, 5, 4, 4, 5, 7, 7, 4, 5, 4, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 9, 10, 9, 7, 7, 9, 10, 10, 10, 8, 8, 9, 9, 9, 9, 6, 6, 7, 8, 9, 5, 5, 5, 9, 10, 10, 10, 8, 8, 10, 11, 10, 6, 6, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 18, 17, 18, 16, 16, 18, 18, 18, 18, 18, 15, 15, 17, 18, 17, 14, 14, 16, 16, 16, 16, 13, 14, 15, 12, 12, 14, 14, 14, 14, 11, 11, 13, 14, 13, 10, 10, 12, 12, 9, 9, 12, 14, 13, 13, 13, 13, 15, 15, 12, 11, 12, 12, 10, 8, 8, 12, 10, 10, 13, 15, 14, 14, 14, 14, 16, 16, 11, 11, 12, 12, 12, 10, 10, 7, 8, 9, 7, 4, 4, 5, 6, 7, 8, 5, 5, 5, 9, 10, 9, 12, 11, 12, 10, 10, 12, 12, 12, 12, 12, 12, 9, 9, 10, 11, 9, 6, 6, 7, 4, 4, 5, 5, 5, 9, 10, 8, 8, 12, 13, 11, 12, 12, 12, 12, 11, 12, 11, 12, 10, 10, 11, 12, 10, 10, 11, 12, 10, 10, 11, 12, 10, 5, 5, 6, 8, 9, 7, 8, 8, 6, 6, 6, 6, 6, 10, 11, 10, 14, 13, 14, 12, 12, 14, 14, 14, 14, 14, 11, 13, 13, 14, 13, 10, 11, 12, 10, 7, 7, 8, 5, 5, 6, 10, 9, 10, 8, 9, 9, 7, 7, 9, 10, 8, 9, 9, 7 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 5, 5, 0, 0, 0, 1, 2, 5, 5, 0, 6, 6, 0, 0, 0, 1, 2, 6, 6, 0, 0, 0, 0, 0, 7, 7, 1, 2, 2, 7, 7, 0, 7, 7, 0, 0, 8, 8, 8, 8, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 2, 9, 2, 2, 2, 0, 0, 11, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 3, 2, 2, 0, 3, 2, 2, 1, 4, 4, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 5, 2, 7, 2, 2, 2, 9, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 3, 3, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 2, 1, 4, 4, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 3, 3, 1, 4, 4, 3, 3, 3, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 1, 1, 7, 2, 1, 3, 3, 3, 0, 2, 1, 2, 2, 3, 3, 3, 3, 3, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 2, 1, 5, 5, 1, 3, 3, 4, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 3, 2, 2, 1 ]
[ 465, 2322, 203, 1070, 29947, 1188, 4705, 30, 2290, 81, 5043, 203, 589, 1491, 81, 761, 26, 3607, 711, 284, 1519, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 284, 16765, 280, 2322, 32, 983, 32, 2524, 26, 983, 30, 4870, 27, 284, 1596, 44, 291, 442, 2156, 26, 13425, 547, 850, 346, 284, 2940, 45338, 44, 291, 442, 4247, 203, 5522, 26, 284, 636, 1057, 11025, 31, 2135, 12362, 31, 2393, 370, 284, 1503, 47, 505, 465, 25300, 2135, 12362, 81, 2393, 1814, 505, 1648, 7642, 284, 4081, 1057, 4494, 498, 453, 266, 370, 284, 4081, 81, 1935, 1057, 1826, 3657, 453, 266, 50, 7253, 32, 508, 370, 284, 7599, 47, 1809, 81, 5043, 1026, 284, 2305, 81, 1320, 81, 605, 47, 1815, 30, 284, 1984, 1057, 641, 555, 933, 32, 508, 33, 696, 453, 266, 33, 11025, 31, 2135, 12362, 31, 2393, 370, 284, 3541, 1057, 14954, 370, 284, 3048, 47, 103, 25, 5608, 2524, 4064, 465, 25300, 2135, 12362, 81, 2393, 1814, 505, 1427, 9818, 2998, 4446, 4251, 7201, 1026, 284, 2443, 81, 13966, 11414, 11025, 31, 10676, 31, 2393, 7148, 34, 32, 37, 32, 37, 370, 2505, 284, 43397, 6020, 291, 330, 8294, 2037, 13939, 2037, 624, 18906, 33, 5068, 2037, 14790, 6256, 370, 291, 330, 1428, 4611, 37393, 5467, 2037, 36646, 370, 291, 330, 3786, 2037, 546, 2123, 46573, 2037, 11895, 1177, 370, 291, 330, 23560, 6633, 2037, 4865, 370, 291, 330, 8294, 2037, 3859, 15612, 2037, 38585, 2037, 4865, 25122, 370, 291, 330, 20235, 5400, 2037, 225, 38, 429, 31511, 370, 291, 330, 25900, 1171, 2037, 6642, 40201, 370, 284, 2505, 284, 1946, 81, 2310, 47, 850, 81, 761, 463, 10229, 32, 9632, 1425, 203, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 9, 9, 2, 2, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 6, 2, 2, 3, 3, 3, 5, 9, 10, 9, 8, 7, 3, 3, 4, 4, 4, 4, 6, 0, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 7, 7, 7, 9, 9, 9, 9, 9, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 6, 3, 3, 5, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 6, 6, 3, 3, 5, 5, 5, 5, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 4, 6, 6, 3, 3, 4, 10, 10, 10, 9, 8, 13, 13, 15, 15, 15, 15, 15, 12, 12, 12, 11, 11, 10, 7, 6, 3, 3, 5, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 3, 3, 4, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 3, 3, 5, 5, 4, 6, 6, 6, 6, 8, 8, 8, 8, 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 ]
[ 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 5, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 9, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 11, 2, 1, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 15, 1, 2, 1, 1, 17, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 21, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 23, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 6436, 619, 2065, 203, 1070, 6436, 32, 4266, 1188, 1201, 81, 955, 81, 37368, 81, 2228, 203, 1070, 13134, 32, 2304, 32, 2255, 1188, 308, 2255, 81, 4021, 445, 81, 983, 30, 768, 3982, 81, 1855, 81, 4021, 445, 81, 983, 81, 1322, 27, 203, 589, 296, 3921, 86, 81, 9762, 8955, 81, 20157, 26, 2255, 30, 36575, 47, 2700, 711, 284, 489, 280, 3996, 32, 3229, 77, 34, 79, 284, 3996, 77, 2356, 32, 2767, 26, 2255, 610, 225, 34, 2177, 280, 2065, 32, 5267, 284, 3996, 32, 6849, 77, 403, 64, 474, 225, 35, 79, 280, 225, 34, 284, 415, 646, 36575, 44, 291, 3996, 280, 2065, 32, 16516, 26, 2255, 30, 3996, 32, 70, 27, 284, 436, 831, 328, 2155, 26, 64, 711, 291, 436, 595, 328, 2155, 26, 64, 711, 324, 436, 594, 328, 2155, 26, 64, 711, 400, 3996, 77, 91, 30, 594, 79, 280, 1847, 26, 2255, 77, 91, 30, 594, 614, 3996, 77, 91, 30, 831, 79, 474, 3996, 77, 93, 30, 594, 1130, 284, 3996, 77, 2356, 32, 2767, 26, 2356, 32, 297, 5267, 26, 2255, 12634, 280, 225, 34, 284, 442, 3996, 203, 589, 4450, 81, 2255, 26, 64, 47, 36, 34, 711, 284, 23735, 280, 2065, 32, 3855, 32, 6096, 1078, 26, 34, 27, 284, 1673, 81, 4873, 280, 23735, 32, 3855, 81, 3287, 1162, 64, 30, 489, 490, 284, 1673, 81, 4873, 280, 1673, 81, 4873, 474, 1673, 81, 4873, 32, 70, 284, 595, 280, 308, 19050, 32, 21378, 26, 64, 30, 1334, 47, 64, 319, 489, 434, 225, 36, 471, 23735, 32, 21378, 26, 64, 30, 1334, 47, 64, 319, 489, 434, 225, 36, 490, 284, 1673, 81, 4873, 77, 91, 79, 280, 225, 34, 284, 1673, 81, 4873, 32, 6849, 77, 403, 64, 474, 225, 35, 79, 280, 225, 34, 284, 442, 1673, 81, 4873, 203, 589, 894, 81, 88, 3921, 86, 81, 9762, 8955, 2262, 284, 1673, 81, 4873, 280, 4450, 81, 2255, 26, 36, 34, 27, 284, 436, 36575, 328, 308, 1815, 30, 3177, 711, 291, 3996, 81, 11842, 280, 3996, 81, 4021, 445, 81, 983, 26, 2452, 81, 4873, 30, 36575, 30, 330, 11842, 683, 291, 3996, 81, 978, 280, 296, 3921, 86, 81, 9762, 8955, 81, 20157, 26, 2452, 81, 4873, 32, 2991, 1026, 36575, 27, 291, 1201, 81, 955, 81, 37368, 81, 2228, 26, 2255, 81, 11842, 30, 3996, 81, 978, 27, 203, 589, 894, 81, 1323, 12530, 11560, 2262, 284, 1673, 81, 4873, 280, 4450, 81, 2255, 26, 36, 34, 27, 284, 436, 36575, 328, 308, 1815, 30, 3177, 711, 291, 3996, 81, 54, 280, 3996, 81, 4021, 445, 81, 983, 26, 2452, 81, 4873, 30, 36575, 30, 330, 54, 683, 291, 3996, 81, 978, 280, 296, 3921, 86, 81, 9762, 8955, 81, 20157, 26, 2452, 81, 4873, 32, 2991, 1026, 36575, 27, 291, 1201, 81, 955, 81, 37368, 81, 2228, 26, 2255, 81, 54, 30, 3996, 81, 978, 27, 203, 589, 894, 81, 4021, 445, 81, 983, 2262, 284, 1673, 81, 4873, 280, 4450, 81, 2255 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 6, 7, 5, 6, 5, 2, 2, 5, 8, 7, 8, 7, 9, 8, 8, 9, 7, 4, 4, 5, 6, 2, 2, 6, 7, 5, 6, 8, 7, 7, 8, 5, 4, 4, 5, 2, 2, 3, 4, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 8, 9, 10, 8, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 5, 5, 5, 7, 8, 7, 5, 5, 7, 7, 7, 9, 10, 9, 7, 7, 11, 12, 11, 11, 11, 10, 10, 12, 14, 13, 14, 13, 13, 13, 12, 14, 15, 14, 14, 14, 13, 13, 14, 15, 14, 14, 14, 2, 2, 5, 8, 7, 8, 7, 10, 9, 10, 10, 9, 10, 9, 4, 4, 5, 2, 2, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 7, 8, 6, 7, 7, 6, 7, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 7, 7, 7, 2, 2, 5, 5, 4, 4, 6, 6, 5, 5, 7, 7, 6, 7, 2, 2, 4, 4, 8, 7, 8, 7, 8, 7, 7, 8, 11, 10, 10, 9, 9, 10, 7, 5, 7, 8, 7, 8, 7, 7, 8, 11, 10, 10, 9, 9, 10, 7, 2, 2, 6, 6, 5, 6, 5, 4, 4, 5, 2, 2, 7, 7, 6, 7, 5, 6, 8, 7, 7, 8, 5, 4, 4, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 7, 7, 6, 2, 2, 3, 3, 3, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 10, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 10, 11, 10, 8, 8, 4, 4, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6, 6, 7, 7, 6, 2, 2, 3, 3, 3, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 10, 10, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 10, 11, 10, 8, 8, 4, 4, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 6 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 4, 4, 3, 1, 3, 3, 3, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 4, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 4, 4, 6, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 2, 5, 5, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 4, 4, 6, 1, 1, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 7, 7, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 0, 8, 8, 1, 1, 1, 1, 1, 2, 8, 8, 0, 0, 0, 0, 0, 0 ]
[ 465, 996, 23239, 203, 1070, 34856, 32, 1237, 32, 26878, 1188, 4942, 203, 1070, 34856, 32, 1237, 32, 26878, 1188, 11581, 203, 1070, 34856, 32, 1237, 32, 26878, 1188, 341, 25673, 203, 1070, 34856, 1188, 7596, 203, 1070, 34856, 1188, 3756, 203, 1070, 34856, 32, 91, 35, 42, 96, 1188, 617, 203, 1070, 34856, 1188, 4684, 203, 823, 4226, 2130, 6495, 1711, 1917, 26, 46674, 32, 1917, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 2599, 26, 2059, 2130, 6495, 1711, 1917, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 32, 7924, 81, 1237, 280, 7596, 32, 2554, 346, 284, 665, 617, 371, 81, 2386, 26, 784, 30, 1619, 30, 1980, 81, 6572, 711, 291, 1596, 44, 324, 11758, 280, 2107, 2946, 81, 4519, 370, 330, 4519, 785, 324, 442, 4684, 32, 1810, 32, 371, 81, 1170, 81, 6572, 26, 1819, 30, 1980, 81, 6572, 30, 4180, 2799, 81, 10407, 47, 10407, 27, 291, 2940, 3756, 32, 5965, 44, 324, 3124, 280, 26155, 1810, 646, 2431, 657, 324, 3636, 996, 23239, 32, 14806, 32, 5068, 5965, 26, 44298, 47, 2076, 27, 284, 477, 46674, 32, 1141, 463, 500, 31, 1366, 683, 284, 665, 617, 1366, 81, 1786, 26, 784, 30, 3616, 30, 804, 30, 3361, 711, 291, 1619, 280, 3616, 32, 12757, 710, 31205, 32, 1819, 785, 291, 1980, 280, 630, 1114, 371, 81, 2386, 26, 1819, 30, 804, 27, 291, 11581, 32, 1553, 81, 7924, 81, 6038, 26, 1819, 30, 330, 1366, 370, 1980, 27, 291, 1596, 44, 324, 630, 32, 7924, 81, 1237, 32, 1366, 26, 1819, 30, 1980, 27, 291, 2940, 3756, 32, 1810, 3817, 1078, 619, 1603, 81, 731, 44, 324, 4942, 32, 13225, 81, 525, 81, 22950, 81, 979, 81, 2386, 81, 5790, 81, 1293, 26, 1293, 81, 731, 30, 400, 330, 1366, 370, 804, 27, 291, 2940, 308, 3893, 32, 1810, 1337, 10593, 30, 3756, 32, 1810, 1622, 19116, 27, 619, 484, 44, 324, 3636, 996, 23239, 32, 14806, 32, 5068, 19610, 26, 44298, 47, 87, 32, 1643, 81, 1436, 1157, 291, 442, 996, 23239, 32, 1397, 26, 1517, 81, 410, 47, 36, 34, 36, 27, 284, 477, 46674, 32, 1141, 463, 500, 31, 4048, 683, 284, 665, 617, 4048, 81, 1786, 26, 784, 30, 3616, 30, 804, 30, 3361, 711, 291, 1619, 280, 3616, 32, 12757, 710, 31205, 32, 1819, 785, 291, 1980, 280, 630, 1114, 371, 81, 2386, 26, 1819, 30, 804, 27, 291, 11581, 32, 1553, 81, 7924, 81, 6038, 26, 1819, 30, 330, 4048, 370, 1980, 27, 291, 1596, 44, 324, 630, 32, 7924, 81, 1237, 32, 4048, 26, 1819, 30, 1980, 27, 291, 2940, 3756, 32, 1810, 3817, 1078, 619, 1603, 81, 731, 44, 324, 4942, 32, 13225, 81, 525, 81, 22950, 81, 979, 81, 2386, 81, 5790, 81, 1293, 26, 1293, 81, 731, 30, 400, 330, 4048, 370, 804, 27, 291, 2940, 308, 3893, 32, 1810, 1337, 10593, 30, 3756, 32, 1810, 1622, 19116, 27, 619, 484, 44, 324, 3636, 996, 23239, 32, 14806, 32, 5068, 19610, 26, 44298 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 3, 3, 5, 5, 5, 8, 8, 11, 11, 11, 11, 9, 11, 11, 6, 6, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 10, 9, 9, 10, 10, 9, 9, 9, 11, 11, 10, 11, 9, 5, 5, 6, 7, 8, 6, 6, 6, 9, 9, 13, 13, 13, 13, 7, 7, 8, 12, 11, 12, 10, 11, 11, 10, 12, 11, 12, 10, 2, 2, 7, 6, 7, 6, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 9, 10, 8, 10, 10, 10, 10, 5, 5, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 9, 5, 5, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 10, 10, 8, 8, 5, 5, 6, 6, 6, 11, 12, 12, 12, 10, 11, 10, 11, 10, 10, 10, 6, 6, 7, 9, 10, 10, 10, 8, 8, 10, 10, 7, 7, 7, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 11, 11, 13, 13, 11, 11, 6, 6, 7, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 8, 8, 7, 7, 7, 9, 13, 12, 13, 11, 12, 12, 11, 13, 12, 15, 14, 15, 15, 15, 14, 5, 5, 6, 9, 8, 9, 8, 10, 10, 10, 9, 10, 10, 10, 8, 2, 2, 7, 6, 7, 6, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 7, 7, 9, 10, 8, 10, 10, 10, 10, 5, 5, 7, 7, 9, 10, 10, 10, 9, 10, 9, 9, 9, 5, 5, 8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 10, 10, 8, 8, 5, 5, 6, 6, 6, 11, 12, 12, 12, 10, 11, 10, 11, 10, 10, 10, 6, 6, 7, 9, 10, 10, 10, 8, 8, 10, 10, 7, 7, 7, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 11, 11, 13, 13, 11, 11, 6, 6, 7, 11, 10, 11, 11, 11, 9, 9, 10, 11, 11, 11, 9, 8, 8, 7, 7, 7, 9, 13, 12, 13, 11, 12, 12, 11, 13 ]
[ 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 2, 2, 2, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 1, 1, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 0, 5, 2, 1, 0, 0, 3, 1, 2, 3, 3, 3, 0, 0, 1, 1, 1, 2, 3, 3, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 0, 2, 2, 2, 1, 1, 0, 0, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 4, 0, 1, 2, 2, 2, 0, 0, 3, 2, 2, 2, 0, 1, 1, 4, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 4, 4, 4, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 3, 3, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 3, 0, 2, 2, 2, 1, 1, 0, 0, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 4, 0, 1, 2, 2, 2, 0, 0, 3, 2, 2, 2, 0, 1, 1, 4, 4, 4, 0, 0, 0, 2, 0, 2, 2, 1, 0 ]
[ 1070, 1123, 350, 513, 32, 1237, 1188, 1995, 4015, 513, 2554, 203, 823, 439, 11899, 8596, 26, 1290, 4015, 513, 2554, 711, 284, 665, 6144, 10103, 26, 784, 30, 706, 30, 7669, 606, 711, 291, 442, 630, 32, 2848, 32, 1357, 463, 11431, 33, 4867, 9708, 101, 33, 6967, 11899, 10103, 25, 400, 904, 308, 4867, 606, 471, 330, 4747, 370, 528, 630, 32, 371, 5732, 26, 605, 30, 330, 1439, 10103, 2847, 284, 665, 622, 6143, 11899, 2059, 2963, 26, 784, 30, 7669, 606, 711, 291, 442, 630, 32, 2848, 32, 1357, 463, 11431, 33, 22705, 9708, 101, 33, 11431, 2963, 25, 400, 904, 308, 4867, 606, 490, 284, 665, 739, 6143, 11899, 2059, 2963, 26, 784, 30, 706, 30, 7669, 606, 711, 291, 442, 630, 32, 2848, 32, 1357, 463, 11431, 33, 22705, 9708, 101, 33, 11431, 2963, 25, 400, 904, 308, 4867, 606, 471, 330, 4747, 370, 528, 630, 32, 371, 5732, 26, 605, 30, 330, 11431, 2059, 2963, 2847, 284, 665, 7650, 26080, 2140, 26, 784, 30, 25376, 1943, 606, 711, 291, 442, 630, 32, 2848, 32, 1357, 463, 11431, 33, 20967, 1553, 9708, 101, 33, 5538, 25, 400, 904, 308, 22634, 1943, 606, 471, 330, 3705, 683, 284, 665, 622, 11884, 3452, 4084, 8041, 26, 784, 711, 291, 442, 630, 32, 2848, 32, 1357, 463, 11431, 33, 9150, 683, 284, 665, 622, 11884, 3452, 4084, 2711, 26, 784, 30, 3414, 314, 711, 291, 442, 630, 32, 2848, 32, 1357, 463, 11431, 33, 9150, 9708, 101, 25, 400, 904, 308, 3038, 314, 490, 284, 665, 7650, 11884, 3452, 2140, 26, 784, 30, 25376, 1943, 606, 711, 291, 442, 630, 32, 2848, 32, 1357, 463, 11431, 33, 2944, 3452, 1553, 9708, 101, 33, 5538, 25, 400, 904, 308, 22634, 1943, 606, 471, 330, 3705, 683, 284, 665, 622, 11884, 3452, 4084, 2324, 26, 784, 711, 291, 442, 630, 32, 2848, 32, 1357, 463, 11431, 33, 2944, 3452, 1063, 683, 284, 665, 739, 11884, 3452, 2324, 26, 784, 30, 706, 711, 291, 442, 630, 32, 2848, 32, 1357, 463, 11431, 33, 2944, 3452, 1063, 370, 330, 3705, 370, 528, 630, 32, 371, 5732, 26, 605, 30, 330, 2944, 3452, 2324, 2847, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 7, 9, 9, 7, 7, 9, 10, 10, 9, 10, 9, 9, 11, 11, 11, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 7, 9, 9, 7, 7, 9, 10, 10, 9, 10, 9, 9, 11, 11, 11, 11, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 9, 7, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 7, 7, 9, 10, 10, 9, 10, 9, 9, 11, 11, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 5, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 4, 4, 5, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 5, 5, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 6, 6, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 7, 1, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 8, 1, 1, 1, 2, 1, 2, 2, 2, 8, 8, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 605, 280, 308, 203, 1182, 107, 3633, 370, 262, 203, 1182, 107, 3633, 89, 370, 262, 203, 1182, 107, 3633, 6453, 370, 262, 203, 1182, 107, 3633, 5360, 370, 262, 203, 1182, 9486, 272, 370, 262, 203, 1182, 9486, 272, 92, 370, 262, 203, 1182, 9486, 46644, 370, 262, 203, 1182, 9486, 318, 370, 262, 203, 1182, 9486, 342, 370, 262, 203, 1182, 9486, 342, 89, 370, 262, 203, 1182, 9486, 19692, 370, 262, 203, 1182, 9486, 342, 84, 370, 262, 203, 1182, 9486, 9859, 370, 262, 203, 1182, 9486, 13166, 370, 262, 203, 1182, 9486, 342, 98, 370, 262, 203, 1182, 9486, 342, 90, 370, 262, 203, 1182, 9486, 405, 370, 262, 203, 1182, 9486, 872, 370, 262, 203, 1182, 9486, 40861, 370, 262, 203, 1182, 9486, 307, 370, 262, 203, 1182, 9486, 503, 370, 262, 203, 1182, 9486, 819, 370, 262, 203, 1182, 107, 3633, 92, 370, 262, 203, 1182, 9486, 735, 370, 262, 203, 1182, 107, 3633, 93, 370, 262, 203, 1182, 9486, 364, 370, 262, 203, 1182, 9486, 929, 370, 262, 203, 1182, 107, 3633, 90, 370, 262, 203, 1182, 17762, 370, 262, 203, 1182, 87, 817, 370, 262, 203, 1182, 87, 29469, 370, 262, 203, 1182, 87, 817, 101, 370, 262, 203, 1182, 47246, 370, 262, 203, 1182, 47246, 92, 370, 262, 203, 1182, 47246, 90, 370, 262, 203, 1182, 87, 431, 370, 262, 203, 1182, 42418, 370, 262, 203, 1182, 87, 27573, 370, 262, 203, 1182, 42418, 95, 370, 262, 203, 1182, 42418, 84, 370, 262, 203, 1182, 87, 2441, 370, 262, 203, 1182, 87, 15771, 370, 262, 203, 1182, 42418, 98, 370, 262, 203, 1182, 42418, 90, 370, 262, 203, 1182, 87, 418, 370, 262, 203, 1182, 87, 906, 370, 262, 203, 1182, 87, 12133, 370, 262, 203, 1182, 26284, 370, 262, 203, 1182, 87, 13500, 370, 262, 203, 1182, 87, 788, 370, 262, 203, 1182, 17762, 92, 370, 262, 203, 1182, 87, 542, 370, 262, 203, 1182, 87, 1253, 370, 262, 203, 1182, 87, 366, 370, 262, 203, 1182, 87, 520, 370, 262, 203, 1182, 87, 6875, 370, 262, 203, 1182, 87, 370, 262, 203, 1182, 4192, 370, 262, 203, 1182, 21280, 370, 262, 203, 1182, 4192, 101, 370, 262, 203, 1182, 272, 370, 262, 203, 1182, 272, 92, 370, 262, 203, 1182, 46644, 370, 262, 203, 1182, 318, 370, 262, 203, 1182, 342, 370, 262, 203, 1182, 342, 89, 370, 262, 203, 1182, 19692, 370, 262, 203, 1182, 342, 84, 370, 262, 203, 1182, 9859, 370, 262, 203, 1182, 13166, 370, 262, 203, 1182, 342, 98, 370, 262, 203, 1182, 342, 90, 370, 262, 203, 1182, 405, 370, 262, 203, 1182, 872, 370, 262, 203, 1182, 40861, 370, 262, 203, 1182, 307, 370, 262, 203, 1182, 503, 370, 262, 203, 1182, 819, 370, 262, 203, 1182, 17824, 370, 262, 203, 1182, 735, 370, 262, 203, 1182, 3748, 370, 262, 203, 1182, 364, 370, 262, 203, 1182, 929, 370, 262, 203, 1182, 13849, 370, 262, 203, 1182, 7822, 97, 370, 262, 203, 1182, 7822, 817, 370, 262, 203, 1182, 7822, 29469, 370, 262, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 2, 2, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 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, 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, 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, 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, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 3, 5, 5, 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, 5, 3, 3, 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, 3, 3, 5, 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, 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, 3, 3, 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, 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, 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, 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, 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, 5, 3, 3 ]
[ 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2 ]
[ 1070, 37666, 32, 5379, 32, 3955, 1188, 9045, 2291, 203, 823, 12122, 26, 10645, 2291, 711, 284, 443, 11985, 26, 1473, 711, 291, 2719, 280, 330, 8636, 896, 25, 291, 827, 280, 330, 5176, 25, 291, 3833, 81, 2285, 280, 2726, 7628, 81, 2613, 81, 18806, 370, 3486, 330, 2597, 27212, 1178, 370, 1665, 27, 291, 9355, 81, 2285, 280, 1665, 291, 804, 280, 330, 2597, 48306, 25, 291, 2761, 81, 426, 280, 330, 2597, 48306, 25, 291, 2761, 81, 681, 280, 330, 13049, 25, 291, 636, 280, 330, 2597, 48306, 25, 291, 2340, 280, 330, 2597, 4607, 34922, 25, 291, 8742, 280, 330, 2597, 48306, 25, 203, 823, 3725, 1299, 1564, 26, 10645, 2291, 711, 284, 443, 11985, 26, 1473, 711, 291, 2719, 280, 330, 8636, 896, 25, 291, 827, 280, 330, 19838, 31, 1363, 25, 291, 3833, 81, 2285, 280, 2726, 7628, 81, 2613, 81, 19838, 81, 6332, 370, 3486, 330, 2597, 20319, 7332, 370, 1665, 27, 291, 9355, 81, 2285, 280, 1665, 291, 804, 280, 330, 2597, 20319, 11829, 25, 291, 2761, 81, 426, 280, 330, 2597, 20319, 11829, 25, 291, 2761, 81, 681, 280, 330, 13049, 25, 291, 636, 280, 330, 2597, 20319, 11829, 25, 291, 2340, 280, 1665, 291, 8742, 280, 1665, 203, 823, 25282, 26, 10645, 2291, 711, 284, 443, 11985, 26, 1473, 711, 291, 2719, 280, 330, 8636, 896, 25, 291, 827, 280, 330, 10799, 25, 291, 3833, 81, 2285, 280, 2726, 7628, 81, 33276, 370, 330, 32629, 370, 1665, 27, 291, 9355, 81, 2285, 280, 1665, 291, 804, 280, 330, 7348, 558, 25, 291, 2761, 81, 426, 280, 330, 7348, 558, 25, 291, 2761, 81, 681, 280, 330, 13049, 25, 291, 636, 280, 330, 7348, 558, 25, 291, 2340, 280, 330, 17904, 25, 291, 8742, 280, 1665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 6, 6, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 4, 4, 7, 7, 6, 6, 4, 4, 6, 6, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 4, 4, 6, 6, 8, 8, 8, 4, 4, 6, 6, 8, 8, 8, 8, 4, 4, 6, 6, 8, 8, 8, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 6, 6, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 7, 4, 4, 7, 7, 6, 6, 4, 4, 6, 6, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 4, 4, 6, 6, 8, 8, 8, 8, 4, 4, 6, 6, 4, 4, 6, 6, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 4, 4, 6, 6, 8, 8, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 7, 9, 9, 7, 7, 4, 4, 7, 7, 6, 6, 4, 4, 6, 6, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 4, 4, 7, 7, 6, 6, 8, 8, 4, 4, 6, 6, 8, 8, 8, 4, 4, 6, 6, 8, 8, 4, 4, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 0, 0, 0, 3, 3, 2, 1, 1, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 109, 284, 330, 426, 950, 330, 14837, 2244, 32337, 26246, 370, 284, 330, 1648, 950, 330, 35, 32, 34, 370, 284, 330, 3153, 950, 330, 14837, 13136, 370, 284, 330, 2310, 950, 1524, 203, 1318, 1695, 2297, 372, 11856, 600, 32337, 7433, 461, 23260, 17588, 32, 203, 6467, 47, 203, 9515, 458, 2297, 844, 1098, 526, 5300, 372, 2552, 600, 32337, 13077, 372, 23260, 17588, 32, 284, 3330, 392, 284, 330, 2116, 950, 330, 2961, 527, 66, 19217, 370, 284, 330, 12787, 950, 330, 641, 555, 1499, 32, 431, 604, 32, 508, 33, 1637, 33, 33109, 370, 284, 330, 27263, 950, 2107, 16842, 370, 330, 3524, 81, 278, 32337, 81, 33014, 2188, 284, 330, 605, 950, 2107, 16842, 81, 278, 32337, 81, 33014, 81, 1071, 32, 2593, 2188, 284, 330, 6380, 950, 5518, 284, 330, 3789, 444, 950, 2933, 30, 284, 330, 2837, 81, 3789, 950, 3177, 30, 203, 111, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 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, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 3, 2, 2, 5, 5, 5, 3, 2, 2, 2, 5, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 2, 5, 1, 1, 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, 2, 0, 0, 1, 2, 9, 1, 1, 1, 1, 2, 0, 0, 1, 2, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 13, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 17, 0, 0, 1, 1, 2, 19, 0, 0, 0, 1, 1, 1, 2, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 32, 1163, 1188, 8444, 203, 1070, 1168, 33367, 32, 5558, 32, 696, 8462, 32, 2282, 1188, 1359, 261, 203, 1070, 1168, 33367, 32, 4882, 1188, 1695, 203, 823, 8145, 1006, 26, 1439, 32, 1761, 7233, 711, 284, 665, 894, 81, 10514, 26, 784, 711, 291, 630, 32, 5299, 26, 36, 30, 656, 8444, 32, 14594, 32, 28322, 32, 41809, 81, 7568, 27, 291, 630, 32, 5299, 463, 25438, 370, 656, 8444, 32, 14594, 32, 1679, 16011, 32, 15213, 81, 4573, 81, 681, 27, 291, 630, 32, 5299, 26, 35, 30, 656, 2069, 26, 4687, 32, 14594, 32, 1679, 16011, 32, 4573, 81, 25438, 81, 19972, 490, 291, 630, 32, 5299, 463, 9968, 370, 656, 8444, 32, 14594, 32, 1679, 16011, 32, 18960, 81, 4573, 81, 681, 27, 291, 630, 32, 14846, 26, 4687, 32, 14594, 32, 1679, 16011, 32, 18960, 81, 4573, 81, 681, 81, 28331, 27, 291, 630, 32, 5299, 26, 34, 30, 656, 2069, 26, 4687, 32, 14594, 32, 940, 73, 22659, 32, 6035, 14303, 81, 3337, 81, 28331, 490, 291, 630, 32, 5299, 463, 9374, 555, 35, 36, 41, 32, 34, 32, 34, 32, 35, 44, 40, 34, 34, 34, 35, 370, 656, 8444, 32, 14594, 32, 940, 73, 22659, 32, 19186, 81, 7986, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 0, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 8, 7, 7, 7, 10, 11, 9, 10, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 9, 9, 7, 7, 10, 11, 9, 10, 10, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 9, 13, 12, 13, 11, 12, 12, 10, 11, 11, 11, 11, 11, 9, 4, 4, 7, 8, 7, 9, 9, 7, 7, 10, 11, 9, 10, 10, 8, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 11, 10, 11, 9, 10, 10, 8, 9, 9, 9, 9, 9, 9, 9, 7, 4, 4, 7, 8, 7, 8, 7, 7, 7, 9, 13, 12, 13, 11, 12, 12, 12, 10, 10, 10, 11, 11, 11, 11, 9, 4, 4, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 10, 11, 9, 10, 10, 10, 8, 9, 9, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 1, 6, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 3, 3, 1, 2, 0, 1, 2, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 3, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 24021, 2893, 280, 5881, 203, 1559, 203, 1647, 44, 11040, 36, 81, 37261, 203, 4021, 81, 2310, 44, 570, 39236, 44052, 2625, 6562, 17758, 4797, 11040, 36, 308, 3955, 27, 203, 1648, 81, 11043, 44, 313, 35, 32, 34, 20, 203, 2184, 44, 284, 6042, 81, 23545, 44, 291, 3048, 44, 324, 429, 1670, 390, 26, 1347, 471, 14156, 25202, 1098, 646, 526, 25776, 32, 1348, 1395, 1755, 526, 1654, 1090, 544, 44176, 28355, 17289, 1471, 630, 31, 2058, 25202, 32, 291, 2129, 44, 901, 291, 1244, 44, 330, 7134, 25, 291, 16682, 44, 2107, 7134, 370, 330, 1347, 785, 291, 1503, 81, 11043, 44, 225, 35, 32, 39, 32, 35, 203, 2310, 44, 275, 429, 1348, 2297, 296, 27277, 706, 645, 322, 5035, 13602, 328, 11040, 36, 308, 3955, 27, 619, 1292, 1568, 1913, 555, 2180, 32, 3955, 32, 7189, 32, 508, 33, 7278, 12873, 36, 33, 5323, 33, 29649, 33, 735, 36, 31, 2386, 31, 4519, 32, 916, 32, 1568, 886, 2297, 2298, 526, 3823, 645, 4797, 322, 13486, 36, 1980, 8015, 32, 203, 8886, 44, 284, 429, 8350, 372, 2761, 544, 11040, 36, 81, 37261, 1631, 526, 3640, 6125, 32, 203, 2116, 44, 313, 20081, 4788, 103, 475, 41037, 333, 10411, 4788, 836, 41037, 50, 7253, 32, 508, 5844, 203, 9592, 203, 1460, 39189, 280, 5881, 203, 21, 40319, 2280, 203, 31, 636, 44, 570, 3790, 44052, 334, 2125, 44, 11040, 36, 81, 37261, 203, 31, 636, 44, 40319, 334, 2125, 44, 4588, 3124, 347, 2272, 1980, 438, 312, 273, 35, 32, 9441, 20, 334, 1412, 44, 28520, 81, 735, 36, 81, 2386, 81, 681, 610, 313, 102, 35, 32, 9441, 20, 203, 9592, 203, 465, 6234, 203, 465, 316, 203, 4817, 32, 37329, 5457, 26, 39, 27, 203, 823, 24114, 36, 4097, 26, 1473, 711, 284, 11040, 36, 81, 4519, 81, 3423, 280, 330, 525, 555, 35, 40, 43, 32, 36, 39, 38, 32, 35, 40, 43, 32, 36, 39, 38, 33, 5323, 33, 2859, 31, 605, 7404, 284, 11040, 36, 81, 9404, 605, 81, 3423, 225, 280, 330, 525, 555, 35, 40, 43, 32, 36, 39, 38, 32, 35, 40, 43, 32, 36, 39, 38, 33, 5323, 33, 2859, 31, 605, 33, 923, 31, 3494, 33, 34, 33, 1676, 9404, 31, 678, 25, 284, 11040, 36, 81, 15539, 81, 3423, 280, 330, 525, 555, 35, 40, 43, 32, 36, 39, 38, 32, 35, 40, 43, 32, 36, 39, 38, 33, 5323, 33, 496, 31, 605, 7404, 284, 9045, 81, 16454, 69, 280, 2726, 368, 31, 48187, 31, 35, 370, 4511, 330, 368, 31, 38527, 27548, 31, 35, 370, 4511, 330, 368, 31, 38527, 27548, 31, 36, 370, 4511, 330, 11085, 31, 15785, 31, 35, 370, 4511, 330, 11085, 31, 12581, 31, 35, 370, 4511, 330, 2496, 31, 14623, 31, 35, 370, 4511, 330, 352, 31, 14623, 31, 35, 370, 4511, 330, 352, 31, 12581, 31, 35, 370, 4511, 330, 352, 31, 12581, 31, 36, 370, 4511, 330, 352, 31, 7182, 31, 12581, 31, 35, 25, 4511, 829, 284, 665, 1156, 1664, 3207, 784, 30, 2297, 30, 11040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 1, 1, 0, 1, 1, 0, 4, 3, 4, 4, 3, 4, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 5, 4, 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, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 2, 2, 3, 4, 4, 5, 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, 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, 2, 0, 2, 2, 0, 3, 3, 0, 0, 0, 2, 2, 1, 1, 1, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 1, 1, 1, 2, 2, 2, 2 ]
[ 100, 2993, 27958, 429, 3725, 25474, 623, 17771, 439, 33, 65, 18393, 203, 2272, 2297, 6972, 844, 372, 16611, 13185, 30, 5008, 372, 3623, 203, 1131, 33, 2024, 33, 731, 49098, 30, 461, 4224, 3623, 442, 12668, 32, 225, 1348, 2297, 203, 410, 1494, 372, 7084, 10204, 1604, 30, 17410, 7896, 461, 4442, 30, 2124, 44, 203, 500, 32, 2946, 203, 500, 32, 15697, 28, 203, 500, 32, 98, 1676, 28, 203, 98, 1676, 36, 3424, 203, 7621, 3424, 203, 6606, 2625, 2624, 322, 16539, 2297, 883, 526, 1654, 372, 7084, 3282, 203, 3477, 461, 4442, 883, 526, 2431, 4794, 32, 203, 9515, 322, 16539, 2297, 203, 1281, 16625, 203, 2272, 2297, 12706, 1591, 443, 3823, 447, 1676, 44, 203, 823, 447, 1676, 26, 1132, 30, 4845, 891, 47, 34, 30, 15012, 47, 2521, 30, 324, 24621, 47, 2521, 30, 12532, 47, 2521, 30, 16154, 47, 2521, 30, 324, 1406, 2493, 81, 3359, 47, 2521, 30, 4230, 81, 30756, 47, 2700, 30, 9073, 47, 2700, 30, 324, 24390, 47, 2521, 30, 4533, 47, 2521, 30, 36596, 81, 890, 4446, 47, 2700, 30, 324, 16359, 1338, 47, 2521, 30, 10064, 4545, 47, 34, 711, 203, 8555, 884, 44, 203, 1132, 1395, 526, 312, 802, 30, 556, 312, 6613, 432, 3460, 4209, 32, 225, 886, 203, 5784, 372, 5742, 438, 20165, 322, 1932, 1623, 328, 322, 2181, 6613, 556, 203, 800, 30, 1273, 883, 526, 13413, 739, 810, 1471, 322, 15012, 2793, 32, 203, 1484, 37603, 30, 623, 9073, 47, 2700, 308, 1536, 711, 701, 458, 1135, 30, 322, 447, 1676, 443, 203, 7668, 2322, 32, 2493, 10734, 346, 372, 5742, 322, 2838, 3460, 32, 225, 2181, 1395, 20165, 203, 864, 312, 6613, 32, 225, 399, 802, 1098, 526, 23902, 619, 312, 6613, 623, 322, 802, 203, 302, 322, 1755, 1623, 308, 1382, 3460, 372, 5742, 547, 203, 1484, 37603, 30, 623, 9073, 47, 1815, 44, 1670, 2181, 438, 312, 802, 30, 561, 15822, 322, 203, 2501, 802, 372, 5742, 3919, 322, 9073, 32, 225, 1670, 2181, 438, 312, 6613, 30, 203, 1382, 1932, 1623, 15822, 322, 2016, 802, 30, 461, 1346, 5388, 3946, 203, 11104, 526, 23902, 619, 5388, 9073, 4209, 32, 203, 1484, 4017, 44, 322, 447, 1676, 443, 5251, 2648, 2861, 346, 372, 5742, 322, 2838, 203, 5784, 30, 1510, 4331, 1196, 544, 5852, 32, 225, 1670, 2181, 438, 312, 6613, 30, 561, 1098, 526, 203, 36032, 372, 312, 802, 1471, 322, 1149, 36, 41842, 1411, 32, 225, 5294, 5997, 688, 203, 1206, 1169, 13416, 4017, 9264, 21660, 322, 2016, 1628, 322, 2432, 203, 3073, 44, 886, 1149, 36, 41842, 438, 15764, 436, 9264, 1471, 322, 2432, 203, 7004, 619, 322, 13416, 390, 6091, 32, 203, 1954, 891, 30, 415, 2702, 30, 1401, 322, 2432, 14269, 619, 322, 8435, 2793, 203, 452, 322, 6895, 31, 266, 2156, 346, 667, 44, 225, 34, 6058, 707, 37310, 30, 225, 35, 6058, 1628, 203, 37310, 30, 1346, 1604, 11557, 786, 6058, 793, 312, 3112, 432, 203, 26, 20449, 23654, 27, 688, 1334, 32, 225, 399, 11003, 4845, 891, 6058, 372, 793, 322, 2664, 203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 7138, 1188, 7138, 30, 1133, 203, 1070, 8527, 32, 2387, 32, 1536, 9211, 1188, 2340, 203, 1070, 8527, 32, 858, 1188, 7155, 7233, 30, 2684, 81, 3550, 203, 1070, 8527, 32, 2304, 1188, 22158, 30, 13178, 203, 1070, 4377, 2304, 1188, 4705, 203, 1070, 638, 18218, 81, 2304, 1188, 3717, 5634, 7233, 203, 823, 2821, 4470, 26, 44712, 7233, 711, 284, 477, 5522, 14178, 770, 34, 35, 950, 23728, 343, 110, 770, 1924, 95, 20, 2038, 18143, 284, 665, 894, 81, 770, 34, 35, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 770, 34, 35, 370, 5053, 86, 950, 7138, 26, 36, 34, 34, 42, 30, 225, 35, 30, 225, 35, 25952, 291, 630, 32, 5299, 26, 2024, 30, 330, 34, 35, 683, 284, 477, 5522, 14178, 770, 34, 36, 950, 23728, 343, 110, 770, 2038, 18143, 284, 665, 894, 81, 770, 34, 36, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 770, 34, 36, 370, 5053, 86, 950, 7138, 26, 36, 34, 34, 42, 30, 225, 35, 30, 225, 35, 25952, 291, 630, 32, 5299, 26, 2024, 30, 330, 19264, 32, 225, 35, 30, 225, 36, 34, 34, 42, 683, 284, 477, 7106, 81, 3550, 26, 4855, 81, 62, 35, 34, 64, 47, 1815, 27, 284, 477, 5522, 14178, 770, 34, 36, 81, 94, 35, 34, 96, 950, 23728, 343, 110, 770, 2038, 18143, 284, 665, 894, 81, 770, 34, 36, 81, 94, 35, 34, 96, 26, 784, 711, 291, 623, 13178, 32, 7106, 463, 2173, 7831, 324, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 770, 34, 36, 81, 94, 35, 34, 96, 370, 5053, 86, 950, 7138, 26, 36, 34, 34, 42, 30, 225, 35, 30, 225, 35, 25952, 291, 630, 32, 5299, 26, 2024, 30, 330, 35, 594, 278, 104, 2487, 225, 36, 34, 34, 42, 683, 284, 477, 5522, 14178, 770, 34, 37, 950, 23728, 343, 110, 770, 1924, 95, 20, 2038, 18143, 284, 665, 894, 81, 770, 34, 37, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 770, 34, 37, 370, 5053, 86, 950, 330, 5066, 81, 800, 18143, 291, 630, 32, 5299, 26, 2024, 30, 9142, 284, 477, 5522, 14178, 770, 34, 38, 950, 23728, 343, 110, 770, 1924, 97, 20, 2038, 18143, 284, 665, 894, 81, 770, 34, 38, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 770, 34, 38, 370, 5053, 86, 950, 7138, 26, 36, 34, 34, 42, 30, 225, 35, 36, 30, 225, 36, 43, 25952, 291, 630, 32, 5299, 26, 2024, 30, 330, 36, 34, 34, 43, 683, 284, 477, 5522, 14178, 770, 34, 39, 950, 23728, 343, 110, 770, 1924, 97, 20, 2038, 18143, 284, 665, 894, 81, 770, 34, 39, 26, 784, 711, 291, 1688, 280, 630, 32, 3483, 32, 3169, 81, 452, 81, 800, 463, 770, 34, 39, 370, 5053, 86, 950, 7138, 26, 36, 34, 35, 34, 30, 225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 13, 14, 14, 14, 14, 13, 13, 14, 13, 13, 14, 13, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 13, 14, 14, 14, 14, 13, 13, 14, 13, 13, 14, 13, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 7, 8, 6, 3, 3, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 4, 4, 6, 10, 11, 10, 12, 12, 6, 6, 9, 9, 12, 13, 11, 12, 12, 12, 12, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 11, 15, 15, 13, 15, 16, 16, 16, 16, 15, 15, 16, 15, 15, 16, 15, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 13, 13, 13, 13, 5, 5, 8, 9, 8, 9, 8, 8, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 13, 14, 14, 14, 14, 13, 13, 14, 14, 13, 13, 14, 14, 13, 5, 5, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 2, 2, 6, 6, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 7, 7, 10, 11, 9, 10, 10, 10, 10, 10, 9, 11, 11, 11, 11, 9, 13, 13, 11, 13, 14, 14, 14, 14, 13, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 4, 4, 0, 4, 4, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 6, 6, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 5741, 203, 465, 3619, 1356, 32, 4038, 81, 7621, 203, 465, 3619, 1356, 32, 2929, 32, 2929, 81, 2304, 203, 823, 18860, 828, 5996, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 3298, 30, 4774, 928, 81, 761, 711, 284, 415, 6937, 26, 2929, 30, 3619, 1356, 32, 4038, 81, 7621, 32, 9207, 9770, 711, 397, 3298, 280, 3619, 1356, 32, 2929, 32, 2929, 81, 2304, 32, 3033, 2755, 26, 2929, 27, 284, 630, 1114, 2929, 280, 3298, 284, 630, 1114, 41842, 81, 761, 280, 4774, 928, 81, 761, 284, 630, 1114, 3831, 81, 928, 280, 630, 1114, 2929, 32, 32570, 26, 784, 1114, 41842, 81, 761, 27, 284, 415, 630, 1114, 3831, 81, 928, 44, 397, 630, 1114, 3831, 81, 928, 280, 630, 1114, 3831, 81, 928, 77, 34, 997, 7201, 346, 284, 630, 1114, 1700, 81, 4545, 280, 630, 1114, 1763, 518, 4629, 26, 784, 1114, 3831, 81, 928, 27, 334, 665, 1390, 26, 784, 711, 284, 442, 630, 1114, 1700, 81, 4545, 334, 665, 1756, 26, 784, 30, 5736, 711, 284, 415, 5736, 44, 397, 1201, 5736, 77, 34, 79, 863, 330, 11226, 25, 284, 630, 1114, 1700, 81, 4545, 280, 5736, 284, 630, 1114, 2333, 22120, 974, 346, 334, 665, 2222, 4629, 26, 784, 30, 5736, 711, 284, 415, 5736, 44, 397, 1201, 5736, 77, 34, 79, 863, 330, 11226, 25, 284, 436, 4655, 328, 5736, 44, 397, 415, 4655, 646, 328, 630, 1114, 1700, 81, 4545, 44, 291, 630, 1114, 1700, 81, 4545, 32, 1689, 26, 4555, 27, 284, 630, 1114, 2333, 22120, 974, 346, 334, 665, 6478, 4629, 26, 784, 30, 5736, 711, 284, 415, 5736, 44, 397, 1201, 5736, 77, 34, 79, 863, 330, 11226, 25, 284, 436, 4655, 328, 5736, 44, 397, 415, 4655, 328, 630, 1114, 1700, 81, 4545, 44, 291, 630, 1114, 1700, 81, 4545, 32, 2546, 26, 4555, 27, 284, 630, 1114, 2333, 22120, 974, 346, 334, 665, 24905, 26, 784, 711, 284, 630, 1114, 1700, 81, 4545, 280, 630, 1114, 1763, 518, 4629, 26, 784, 1114, 3831, 81, 928, 27, 284, 630, 1114, 2333, 22120, 974, 346, 334, 665, 617, 2333, 22120, 974, 26, 784, 711, 284, 5741, 32, 1338, 463, 3059, 5736, 44, 904, 101, 370, 630, 1114, 1700, 81, 4545, 27, 284, 793, 81, 2388, 280, 3056, 605, 33, 1696, 33, 2868, 7404, 646, 328, 630, 1114, 41842, 81, 761, 284, 415, 630, 1114, 1700, 81, 4545, 44, 397, 4774, 81, 928, 280, 330, 5608, 2524, 4901, 81, 785, 474, 630, 1114, 1700, 81, 4545, 27, 397, 630, 1114, 2929, 32, 47196, 26, 616, 630, 1114, 41842, 81, 761, 30, 4774, 81, 928, 30, 619, 81, 2388, 47, 539, 81, 2388, 27, 397, 803, 81, 8078, 280, 630, 1114, 2929, 32, 32570, 26, 616, 630, 1114, 41842, 81, 761, 30, 619, 81, 2388, 47, 539, 81, 2388, 27, 397, 1201, 2069, 26, 761, 81, 8078, 27, 610, 225, 35, 461, 803, 81, 8078, 77, 34, 79, 610, 4774, 81, 928, 30, 308, 616, 330, 5288, 372, 739, 322, 2016, 1628, 803, 821, 904, 101, 25 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 5, 7, 8, 7, 7, 10, 9, 10, 10, 10, 8, 9, 9, 7, 5, 5, 8, 8, 13, 12, 13, 11, 12, 12, 12, 10, 11, 11, 10, 11, 10, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 9, 10, 8, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 10, 10, 10, 8, 8, 12, 13, 13, 13, 11, 12, 11, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 7, 7, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 7, 9, 10, 9, 8, 8, 10, 10, 4, 4, 7, 8, 8, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 7, 9, 10, 9, 8, 8, 10, 10, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 8, 8, 9, 10, 10, 10, 7, 7, 7, 12, 13, 13, 13, 11, 12, 11, 12, 11, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 5, 5, 5, 7, 9, 10, 9, 8, 8, 10, 10, 4, 4, 5, 5, 5, 5, 5, 5, 7, 8, 8, 9, 10, 10, 10, 7, 7, 7, 12, 13, 13, 13, 11, 12, 11, 12, 11, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 10, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 7, 9, 9, 9, 9, 9, 9, 7, 8, 9, 9, 9, 7, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 7, 7, 7, 8, 9, 9, 9, 4, 4, 5, 6, 7, 7, 7, 5, 5, 5, 9, 9, 8, 8, 12, 11, 10, 14, 14, 11, 11, 12, 13, 13, 13, 10, 6, 6, 10, 11, 9, 10, 9, 9, 9, 10, 11, 11, 11, 9, 9, 10, 10, 9, 9, 11, 11, 10, 11, 11, 11, 9, 6, 6, 9, 9, 8, 8, 11, 12, 10, 11, 10, 10, 10, 11, 12, 12, 12, 10, 10, 12, 12, 11, 12, 12, 12, 10, 6, 6, 7, 11, 12, 12, 12, 11, 9, 9, 10, 8, 8, 11, 11, 10, 11, 10, 9, 9, 10, 10, 7, 7, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 0, 3, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 4, 1, 2, 2, 2, 4, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 6, 1, 1, 1, 2, 1, 2, 6, 6, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 3, 1, 1, 0, 0, 5, 2, 2, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 3, 3, 3, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
[ 9592, 203, 8407, 338, 32, 716, 17041, 3261, 308, 525, 555, 40178, 32, 716, 27, 203, 2533, 16123, 203, 1854, 1196, 35603, 17041, 645, 5166, 328, 312, 12184, 338, 4904, 32, 1348, 3261, 1098, 203, 1363, 5166, 810, 44, 203, 429, 42919, 1403, 30, 203, 429, 10416, 2719, 203, 429, 2719, 5911, 203, 429, 2719, 2287, 203, 429, 2078, 645, 322, 831, 33, 104, 2968, 203, 2272, 3261, 883, 526, 1420, 623, 322, 34789, 203, 287, 668, 619, 2799, 8351, 1169, 322, 5166, 328, 1169, 42919, 304, 483, 203, 287, 17508, 1403, 30, 372, 21432, 322, 5166, 372, 312, 3982, 42919, 1403, 203, 287, 2035, 372, 21432, 322, 17041, 372, 312, 3982, 8189, 1541, 32, 308, 13966, 42919, 1403, 1359, 27, 203, 1318, 3488, 436, 458, 3973, 438, 1491, 645, 312, 3109, 338, 32, 5930, 803, 15282, 328, 322, 203, 8786, 3362, 619, 458, 17041, 3261, 32, 3367, 1359, 2075, 328, 322, 1359, 803, 203, 586, 5302, 2940, 322, 3408, 461, 2601, 30, 1510, 2298, 2260, 372, 312, 2080, 7669, 556, 203, 1786, 3974, 322, 1913, 4125, 32, 2616, 1829, 2471, 544, 29300, 322, 6998, 2318, 32, 203, 525, 555, 1499, 32, 40178, 32, 716, 33, 2180, 33, 4867, 33, 2184, 32, 916, 203, 8381, 2075, 2305, 44, 203, 5438, 269, 329, 1403, 950, 203, 7900, 21432, 101, 322, 5964, 5166, 372, 5521, 645, 322, 2702, 42919, 1403, 203, 25, 965, 950, 203, 1382, 3834, 432, 322, 12184, 338, 4904, 32, 3408, 30, 2601, 461, 12841, 884, 12005, 645, 322, 203, 2413, 32, 1670, 646, 3191, 30, 3387, 3488, 10071, 372, 1913, 5167, 203, 452, 18339, 544, 2601, 225, 42, 39, 34, 34, 32, 203, 5438, 2167, 950, 203, 325, 3191, 1615, 322, 17041, 1098, 4450, 5880, 4467, 688, 1098, 5889, 203, 15796, 12184, 338, 1182, 328, 8282, 13569, 32, 886, 636, 438, 12005, 645, 322, 1541, 636, 30, 42919, 1403, 203, 363, 5880, 333, 1251, 81, 426, 4503, 1251, 5700, 17508, 1403, 24625, 4116, 4503, 5830, 688, 844, 1098, 1849, 372, 203, 8791, 3109, 338, 11962, 318, 1991, 1370, 13569, 2145, 436, 3282, 372, 5889, 32, 2802, 322, 3109, 338, 203, 17450, 7730, 436, 1829, 3099, 32, 203, 7900, 21432, 101, 322, 5964, 5166, 372, 5521, 645, 322, 2702, 42919, 1403, 203, 1182, 265, 5232, 81, 12420, 950, 203, 589, 19068, 322, 312, 12809, 372, 1015, 372, 322, 2719, 636, 1412, 6892, 322, 2719, 203, 1363, 32, 484, 32, 89, 4851, 636, 432, 330, 9558, 25, 461, 312, 12809, 432, 7610, 13547, 25, 1098, 1015, 203, 5520, 5166, 2965, 372, 322, 2350, 636, 330, 9558, 81, 13547, 2473, 3139, 12809, 438, 3640, 203, 325, 458, 438, 646, 739, 203, 1330, 1414, 950, 203, 4398, 4655, 20720, 415, 2719, 5911, 1395, 526, 1654, 372, 1487, 28508, 203, 6332, 484, 32, 89, 32, 600, 21505, 2719, 623, 322, 5911, 2107, 2590, 370, 330, 104, 35, 785, 1098, 1487, 203, 6332, 21505, 81, 2590, 461, 21505, 81, 104, 35, 372, 1510, 322, 1541, 3974, 322, 2719, 203, 11104, 526, 3640, 32, 3139, 2604, 8351, 884, 3272, 415, 458, 438, 5816, 32, 203, 1330, 97 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 638, 1188, 7683, 81, 13382, 203, 1070, 638, 1188, 16969, 81, 1163, 81, 3550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 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, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 823, 1390, 2215, 924, 26, 984, 711, 284, 2919, 280, 4247, 284, 3124, 280, 4247, 284, 665, 1156, 1664, 3207, 784, 30, 3124, 30, 2919, 1057, 7831, 291, 630, 32, 2076, 280, 3124, 291, 630, 32, 2215, 280, 2919, 291, 3268, 3667, 1664, 3207, 784, 30, 3124, 30, 2919, 27, 284, 665, 1156, 466, 3207, 784, 711, 291, 442, 630, 32, 2076, 203, 589, 485, 10009, 81, 30226, 26, 1132, 30, 4504, 6363, 30, 1946, 6363, 19066, 711, 284, 6410, 280, 1605, 284, 23161, 81, 1132, 280, 1605, 284, 415, 827, 25416, 610, 827, 26, 3222, 6363, 711, 291, 1946, 6363, 280, 428, 3222, 6363, 79, 284, 813, 44, 291, 1946, 6363, 280, 1149, 26, 3222, 6363, 27, 284, 1169, 81, 2184, 81, 2232, 280, 3177, 284, 415, 4504, 6363, 32, 15990, 37984, 7831, 291, 4504, 6363, 280, 4504, 6363, 77, 35, 10056, 291, 1169, 81, 2184, 81, 2232, 280, 2933, 284, 2218, 2181, 44, 291, 415, 2181, 77, 34, 79, 610, 11363, 950, 324, 23161, 81, 1132, 1454, 2181, 77, 35, 10056, 324, 1626, 291, 415, 2181, 77, 34, 21550, 36, 79, 610, 11363, 950, 324, 6410, 30, 2181, 280, 745, 81, 3222, 101, 26, 6363, 30, 2181, 77, 34, 1674, 36, 23751, 1946, 6363, 30, 2181, 77, 35, 19572, 291, 4348, 2181, 77, 34, 21550, 35, 79, 610, 6470, 950, 324, 6410, 30, 2181, 280, 745, 81, 27736, 26, 6363, 30, 2181, 77, 34, 1674, 35, 23751, 4504, 6363, 30, 2181, 77, 35, 19572, 291, 813, 44, 324, 415, 1169, 81, 2184, 81, 2232, 44, 400, 23161, 81, 1132, 1454, 2181, 400, 1626, 324, 813, 44, 400, 23161, 81, 1132, 32, 1689, 26, 1132, 77, 34, 1130, 400, 2181, 280, 2181, 77, 35, 10056, 284, 442, 6410, 30, 23161, 81, 1132, 203, 589, 745, 81, 3222, 101, 26, 6363, 30, 2919, 30, 1946, 6363, 30, 2181, 711, 284, 1596, 44, 291, 595, 280, 2919, 32, 1055, 463, 47169, 284, 2940, 10091, 44, 291, 2919, 626, 280, 1665, 284, 813, 44, 291, 2919, 30, 2919, 626, 280, 2919, 2867, 91, 614, 2919, 77, 91, 474, 225, 35, 10056, 284, 1401, 81, 626, 30, 2919, 280, 1946, 81, 2040, 81, 1132, 26, 2215, 30, 1946, 6363, 27, 284, 415, 1401, 81, 626, 44, 291, 415, 2919, 626, 438, 1665, 44, 324, 415, 646, 2181, 44, 400, 3636, 1390, 2215, 924, 463, 1762, 769, 23, 101, 7171, 2793, 25, 904, 2919, 30, 2919, 27, 324, 2919, 626, 30, 2181, 280, 2181, 77, 34, 614, 2181, 77, 35, 10056, 284, 4348, 2919, 626, 44, 291, 3636, 1390, 2215, 924, 463, 1762, 769, 23, 101, 2298, 646, 1159, 600, 2793, 25, 904, 2919, 30, 2919, 27, 284, 6410, 32, 1689, 26, 12664, 25, 474, 2919, 30, 2919, 626, 556, 330, 2847, 284, 442, 6410, 30, 2181, 203, 589, 1946, 81, 2040, 81, 1132, 26, 2215, 30, 1946, 6363, 711, 284, 13389, 13846, 280, 428, 97, 436, 337, 328, 1946, 6363, 415, 337, 32, 15990, 26, 2215, 2177, 284, 415, 646, 13389, 13846, 44, 291, 3636, 1390, 2215, 924, 463, 1762, 769, 23, 101, 646, 27149 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 4, 4, 2, 2, 4, 4, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 5, 7, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 4, 3, 2, 1, 1, 4, 4, 2, 2, 5, 5, 4, 4, 2, 2, 3, 6, 4, 4, 6, 7, 7, 6, 3, 3, 7, 6, 6, 8, 8, 7, 3, 3, 4, 4, 4, 8, 7, 7, 9, 10, 10, 9, 2, 2, 5, 5, 5, 5, 4, 4, 2, 2, 3, 6, 5, 6, 5, 7, 3, 3, 7, 6, 6, 8, 7, 9, 8, 4, 4, 7, 7, 7, 7, 6, 6, 2, 2, 3, 3, 3, 3, 5, 7, 8, 7, 6, 6, 8, 5, 5, 9, 9, 8, 8, 9, 11, 10, 6, 6, 4, 4, 5, 8, 9, 8, 9, 7, 6, 6, 8, 5, 5, 9, 9, 8, 8, 10, 10, 10, 10, 11, 10, 10, 12, 13, 12, 13, 12, 10, 11, 10, 10, 11, 13, 12, 5, 5, 6, 9, 10, 9, 10, 8, 7, 7, 9, 6, 6, 10, 10, 9, 9, 11, 11, 11, 12, 11, 11, 13, 14, 13, 14, 13, 11, 12, 11, 11, 12, 14, 13, 5, 5, 6, 6, 6, 8, 9, 9, 9, 9, 8, 8, 8, 12, 12, 11, 11, 9, 9, 8, 8, 9, 9, 9, 14, 14, 13, 14, 13, 15, 14, 15, 14, 10, 10, 12, 12, 13, 15, 14, 2, 2, 3, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 3, 6, 6, 8, 9, 8, 10, 3, 3, 4, 4, 4, 4, 8, 7, 7, 3, 3, 4, 4, 4, 8, 8, 9, 7, 7, 9, 11, 9, 8, 9, 12, 11, 11, 12, 10, 2, 2, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 7, 6, 6, 7, 6, 2, 2, 3, 4, 4, 3, 3, 3, 5, 7, 6, 6, 5, 5, 5, 7, 8, 7, 7, 7, 9, 11, 11, 11, 14, 14, 14, 14, 14, 14, 14, 12, 12, 11, 11, 11, 6, 6, 10, 9, 9, 8, 8, 10, 11, 10, 9, 10, 12, 11, 3, 3, 4, 5, 4, 4, 4, 6, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 8, 8, 8, 2, 2, 5, 6, 5, 6, 9, 7, 7, 6, 6, 8, 7, 7, 9, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 5, 6, 6, 6, 7, 5, 6, 8, 9, 8, 9, 8, 2, 2, 3, 4, 5, 3, 3, 3, 5, 7, 7, 7, 10, 10, 10, 10, 10, 10 ]
[ 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 2, 1, 1, 1, 2, 2, 2, 2, 5, 1, 2, 2, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 0, 5, 2, 1, 1, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 2, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 4, 4, 5, 5, 5, 5, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 3, 3, 3, 3, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 5, 1, 1, 7, 0, 2, 1, 1, 4, 0, 2, 0, 1, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 5, 1, 1, 7, 0, 2, 1, 1, 5, 5, 5, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 4, 4, 4, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 4, 4, 6, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 4, 1, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 3, 3, 1, 4, 4, 4, 1, 1, 0, 3, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 0, 0, 1, 2, 2, 2, 2, 3, 2, 3, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1 ]
[ 465, 14461, 203, 465, 7138, 203, 465, 316, 203, 465, 5237, 203, 465, 22045, 203, 465, 1984, 2208, 203, 1070, 4096, 32, 2304, 1188, 2179, 770, 203, 1070, 8527, 32, 2304, 32, 605, 25078, 1188, 10473, 882, 7167, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 18548, 81, 466, 30, 7650, 81, 9941, 203, 1070, 8527, 32, 2304, 32, 18651, 1188, 2608, 81, 10629, 203, 1218, 1614, 81, 15895, 280, 316, 32, 6993, 26, 100, 25, 18470, 73, 4242, 12791, 1162, 2805, 1736, 8302, 12456, 6890, 3730, 20, 683, 203, 22846, 69, 280, 330, 18611, 296, 872, 11626, 22782, 1631, 594, 311, 594, 338, 18894, 18935, 20515, 28014, 5973, 2473, 2998, 346, 203, 505, 54, 280, 540, 25, 12390, 66, 46, 3368, 5213, 86, 109, 36, 1748, 25, 203, 505, 54, 36, 280, 540, 25, 12390, 66, 46, 3368, 8828, 766, 86, 10854, 86, 9905, 203, 505, 63, 280, 540, 25, 12390, 66, 46, 1211, 5213, 105, 109, 37, 1748, 25, 203, 505, 75, 280, 540, 25, 12390, 66, 46, 4548, 5213, 86, 109, 38, 1748, 25, 203, 505, 75, 36, 280, 540, 25, 12390, 66, 46, 4548, 5213, 86, 109, 36, 1748, 25, 203, 505, 70, 280, 540, 25, 12390, 66, 46, 11302, 5213, 86, 109, 36, 46207, 12390, 66, 46, 887, 5213, 86, 109, 36, 46207, 12390, 66, 46, 4215, 5213, 86, 109, 36, 1748, 25, 203, 23463, 35, 35, 36, 37, 81, 5241, 280, 316, 32, 6993, 26, 100, 25, 14747, 105, 109, 37, 835, 904, 101, 904, 101, 904, 101, 904, 101, 6846, 22, 25, 904, 13274, 54, 30, 1156, 63, 30, 1156, 75, 30, 1156, 70, 490, 203, 23463, 42, 39, 34, 81, 5241, 280, 316, 32, 6993, 26, 100, 25, 14747, 105, 109, 40, 30, 43, 835, 904, 101, 9299, 101, 9299, 101, 904, 101, 6846, 22, 25, 904, 13274, 54, 30, 1156, 63, 30, 1156, 75, 36, 30, 1156, 70, 490, 203, 1099, 935, 9064, 81, 5241, 280, 316, 32, 6993, 26, 100, 25, 14747, 105, 109, 37, 111, 904, 101, 904, 101, 904, 101, 904, 101, 22, 25, 904, 13274, 63, 30, 1156, 54, 36, 30, 1156, 70, 30, 1156, 75, 490, 203, 589, 1984, 7345, 26, 965, 30, 10061, 20183, 7831, 284, 442, 7650, 81, 9941, 26, 39362, 32, 7345, 26, 11383, 81, 466, 26, 965, 471, 18548, 81, 466, 26, 4770, 2610, 203, 965, 7345, 280, 2608, 81, 10629, 26, 965, 7345, 30, 15390, 27, 203, 589, 1984, 7345, 81, 5431, 26, 965, 30, 10061, 1057, 7831, 284, 442, 7650, 81, 9941, 26, 39362, 32, 7345, 81, 5431, 26, 11383, 81, 466, 26, 965, 471, 18548, 81, 466, 26, 4770, 2610, 203, 965, 7345, 81, 5431, 280, 2608, 81, 10629, 26, 965, 7345, 81, 5431, 30, 15390, 27, 203, 589, 1984, 311, 7345, 26, 38565, 81, 965, 711, 284, 442, 7650, 81, 9941, 26, 39362, 32, 311, 7345, 26, 11383, 81, 466, 26, 38565, 81, 965, 2610, 203, 965, 311, 7345, 280, 2608, 81, 10629, 26, 965, 311, 7345, 30, 15390, 27, 203, 589, 1984, 311, 7345, 81, 5431, 26, 38565, 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, 0, 1, 1, 3, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 2, 2, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 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, 0, 3, 3, 3, 2, 2, 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, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 6, 6, 7, 6, 6, 7, 6, 6, 7, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 6, 0, 3, 3, 3, 3, 3, 2, 2, 4, 5, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 6, 6, 7, 7, 6, 6, 7, 6, 6, 7, 6, 0, 1, 1, 2, 2, 3, 2, 2, 3, 5, 1, 1, 3, 5, 5, 5, 8, 7, 8, 7, 9, 9, 9, 9, 10, 9, 7, 9, 9, 9, 10, 9, 0, 3, 3, 2, 2, 4, 4, 4, 5, 5, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 5, 1, 1, 3, 5, 5, 5, 8, 7, 8, 8, 8, 7, 9, 9, 9, 9, 10, 9, 7, 9, 9, 9, 10, 9, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 5, 5, 5, 5, 4, 4, 4, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 5, 5, 5, 8, 7, 8, 8, 7, 9, 9, 9, 9, 10, 10, 10, 9, 0, 3, 3, 3, 2, 2, 4, 4, 4, 5, 5, 5, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 1, 2, 6, 6, 0, 0, 7, 7, 1, 2, 1, 4, 4, 7, 7, 0, 0, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 5, 2, 2, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 2, 2, 5, 5, 2, 2, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 7, 2, 0, 21, 21, 1, 2, 1, 2, 2, 3, 2, 21, 21, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 23, 23, 1, 1, 1, 2, 1, 2, 2, 3, 1, 23, 23, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 25, 25, 1, 1, 2, 1, 1, 1, 2, 25, 25, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 27, 27, 1, 1, 1, 1, 2, 1, 1 ]
[ 465, 2322, 30, 3731, 203, 465, 9226, 203, 465, 26313, 203, 465, 14323, 203, 465, 1133, 203, 465, 13249, 2185, 4455, 619, 632, 1614, 203, 1070, 9872, 1188, 9872, 203, 1070, 3516, 1188, 3516, 203, 1070, 5316, 1188, 5316, 30, 632, 1102, 746, 265, 203, 1070, 570, 2035, 6218, 1188, 570, 2035, 6218, 203, 1070, 6466, 1578, 1188, 6466, 1578, 203, 1070, 33491, 1588, 1188, 33491, 1588, 30, 33491, 1588, 3771, 203, 465, 14952, 619, 10475, 203, 589, 622, 4058, 2976, 2262, 203, 202, 601, 2322, 32, 12595, 32, 2524, 26, 500, 32, 983, 32, 35490, 26, 3731, 32, 6118, 77, 34, 8492, 2998, 26, 500, 32, 12595, 27, 20129, 36, 1130, 203, 589, 622, 1208, 1215, 2262, 203, 202, 325, 2069, 26, 3731, 32, 6118, 27, 610, 225, 36, 44, 442, 5237, 32, 6118, 77, 35, 79, 203, 202, 601, 5461, 101, 23, 101, 23, 101, 20, 18147, 49086, 30, 2322, 32, 12595, 30, 632, 1614, 32, 2044, 1208, 27, 203, 589, 7660, 9927, 26, 4594, 30, 456, 34887, 711, 203, 202, 14611, 280, 2706, 96, 23, 101, 78, 96, 23, 101, 20, 18147, 1489, 67, 26, 4594, 471, 3228, 96, 2473, 2524, 2009, 313, 18025, 101, 79, 904, 101, 20, 18147, 1489, 53, 26, 91, 29, 35, 471, 456, 34887, 77, 91, 1130, 436, 595, 328, 2155, 26, 1657, 26, 94, 34887, 490, 5259, 203, 202, 14611, 1454, 2706, 96, 18025, 101, 79, 5599, 283, 78, 96, 13860, 44, 904, 101, 20, 18147, 1489, 53, 463, 67, 1425, 10475, 32, 1832, 1514, 26, 4637, 1514, 347, 4023, 2131, 203, 202, 11447, 280, 5081, 81, 1131, 26, 14611, 27, 203, 202, 3731, 32, 9362, 32, 1821, 26, 2760, 32, 4534, 1157, 203, 202, 3731, 32, 9362, 32, 9321, 346, 203, 202, 325, 11655, 32, 5729, 346, 610, 330, 99, 950, 357, 202, 3731, 32, 4775, 26, 34, 27, 203, 202, 325, 11655, 646, 328, 1992, 26, 466, 30, 3585, 26, 35, 30, 1657, 26, 94, 34887, 7283, 35, 8531, 357, 202, 1216, 313, 10195, 11655, 25937, 101, 1492, 4163, 1330, 2307, 3107, 904, 11447, 357, 202, 601, 7660, 9927, 26, 4594, 30, 456, 34887, 27, 203, 202, 601, 629, 26, 11447, 27, 429, 35, 203, 589, 739, 31009, 26, 11447, 711, 203, 202, 325, 11655, 610, 225, 34, 44, 4222, 202, 71, 1614, 32, 34723, 8177, 280, 225, 34, 32, 39, 357, 202, 71, 1614, 32, 56, 1928, 1043, 280, 225, 35, 34, 357, 202, 71, 1614, 32, 34723, 7903, 717, 280, 225, 34, 203, 202, 325, 11655, 2377, 225, 35, 44, 588, 202, 202, 71, 1614, 32, 34723, 7903, 717, 280, 225, 35, 357, 202, 71, 1614, 32, 34723, 69, 42153, 280, 225, 39, 203, 202, 325, 11655, 2377, 225, 36, 44, 588, 202, 202, 71, 1614, 32, 34723, 8177, 10439, 308, 36, 33, 37, 32, 34, 27, 203, 202, 325, 11655, 2377, 225, 37, 44, 588, 202, 202, 71, 1614, 32, 34723, 69, 42153, 1454, 225, 37, 357, 202, 71, 1614, 32, 19825, 25785, 1027, 2295, 280, 225, 35, 87, 35, 34, 357, 202, 71, 1614, 32, 2130, 19825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 4, 4, 2, 2, 3, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 6, 7, 5, 6, 5, 12, 11, 12, 10, 11, 10, 13, 12, 13, 11, 12, 11, 9, 8, 10, 9, 10, 8, 6, 9, 6, 0, 1, 1, 2, 2, 2, 1, 1, 3, 3, 6, 8, 7, 8, 6, 4, 4, 5, 3, 3, 5, 7, 8, 6, 7, 6, 2, 2, 3, 3, 6, 6, 6, 6, 6, 6, 4, 6, 5, 5, 6, 7, 5, 5, 7, 6, 7, 7, 5, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 1, 1, 5, 4, 4, 8, 7, 7, 8, 8, 7, 7, 7, 5, 8, 8, 8, 9, 8, 6, 11, 10, 9, 8, 9, 12, 12, 12, 12, 12, 12, 10, 13, 13, 13, 15, 14, 15, 13, 11, 13, 12, 13, 12, 9, 10, 10, 10, 12, 14, 14, 15, 15, 14, 9, 2, 2, 5, 4, 4, 8, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 7, 5, 8, 8, 8, 10, 10, 6, 8, 9, 9, 8, 10, 10, 9, 11, 11, 2, 2, 5, 4, 4, 6, 6, 6, 7, 6, 2, 2, 7, 6, 7, 5, 6, 5, 8, 7, 8, 7, 2, 2, 7, 6, 7, 5, 6, 5, 2, 2, 3, 3, 6, 7, 6, 4, 4, 6, 6, 3, 3, 8, 7, 8, 7, 8, 7, 2, 2, 3, 3, 4, 4, 4, 6, 7, 6, 8, 8, 9, 8, 11, 11, 12, 12, 11, 10, 8, 3, 3, 5, 5, 8, 8, 8, 8, 9, 8, 8, 8, 8, 6, 7, 4, 4, 5, 5, 7, 7, 8, 7, 7, 8, 7, 2, 2, 3, 3, 6, 7, 6, 4, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 3, 4, 4, 5, 3, 3, 3, 8, 8, 7, 8, 8, 6, 6, 7, 7, 7, 2, 2, 6, 6, 5, 6, 6, 6, 4, 4, 5, 5, 2, 2, 6, 6, 5, 6, 6, 6, 4, 4, 5, 2, 2, 3, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 8, 8, 7, 8, 8, 8, 6, 6, 7, 2, 2, 3, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 3, 3, 4, 4, 5, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 8, 8, 7, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 8, 8, 7, 8, 8 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 0, 1, 1, 2, 0, 6, 6, 6, 6, 0, 7, 7, 7, 7, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 10, 10, 0, 10, 10, 0, 0, 11, 11, 0, 11, 11, 0, 11, 11, 0, 0, 0, 12, 12, 1, 1, 0, 13, 13, 1, 1, 2, 13, 13, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 14, 14, 1, 1, 2, 14, 14, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 0, 5, 2, 2, 2, 0, 15, 15, 1, 2, 1, 2, 2, 3, 2, 15, 15, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 3, 2, 3, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 4, 4, 0, 0, 2, 0, 2, 1, 4, 4, 5, 5, 0, 2, 1, 1, 1, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 4, 4, 6, 6, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 6, 6, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 7, 7, 1, 1, 1, 1, 2, 0, 16, 16, 1, 2, 1, 2, 16, 16, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 3, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 4, 4, 1, 1, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 1, 1, 2, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2 ]
[ 465, 5741, 203, 81, 4073, 280, 5741, 32, 10579, 4064, 426, 8223, 203, 1070, 3089, 749, 98, 32, 500, 104, 1188, 3829, 30, 337, 2269, 203, 1070, 3089, 749, 98, 32, 4280, 32, 7393, 1188, 617, 203, 465, 1133, 203, 1070, 7138, 1188, 2340, 30, 7138, 30, 30784, 203, 823, 35726, 81, 5978, 26, 500, 104, 32, 500, 104, 711, 203, 202, 81, 426, 280, 313, 27838, 32, 5978, 20, 203, 202, 81, 2310, 280, 313, 1011, 6972, 844, 372, 1487, 4609, 35726, 30108, 3107, 203, 202, 81, 6057, 280, 301, 357, 202, 25, 25720, 950, 4151, 32, 1594, 463, 48930, 13004, 370, 1334, 47, 37, 30, 2129, 47, 1815, 471, 357, 202, 25, 426, 950, 4151, 32, 1594, 463, 18251, 32226, 271, 716, 370, 2129, 1057, 1815, 1425, 357, 202, 3464, 2809, 81, 18735, 12673, 950, 3829, 32, 4398, 463, 6221, 33491, 12673, 1425, 4512, 202, 25, 24394, 81, 18735, 25992, 950, 4151, 32, 5823, 463, 36371, 409, 33491, 25992, 370, 891, 47, 36, 27, 203, 202, 111, 203, 202, 81, 10514, 1279, 357, 202, 25, 24394, 81, 18735, 25992, 950, 225, 35, 30, 203, 202, 111, 203, 202, 81, 2602, 81, 15106, 280, 428, 357, 202, 463, 426, 81, 311, 5677, 1195, 5665, 26, 426, 7243, 330, 42296, 32233, 707, 13655, 271, 716, 457, 16184, 3980, 775, 16865, 41365, 357, 202, 463, 25720, 81, 311, 5677, 1195, 5665, 26, 25720, 7243, 1044, 25, 42296, 32233, 707, 13655, 271, 716, 457, 16184, 3980, 775, 19815, 11834, 203, 202, 79, 203, 202, 21, 57, 2312, 1487, 26, 784, 30, 5564, 30, 12373, 30, 20200, 30, 1619, 47, 2521, 711, 357, 202, 9359, 32, 1877, 14178, 426, 950, 20200, 710, 426, 5695, 7607, 346, 1748, 357, 202, 24394, 81, 18735, 25992, 47, 9359, 710, 24394, 81, 18735, 25992, 785, 357, 202, 6844, 81, 18735, 12673, 47, 9359, 710, 6844, 81, 18735, 12673, 785, 357, 202, 325, 6959, 81, 18735, 12673, 44, 355, 202, 325, 21639, 81, 18735, 25992, 2511, 225, 35, 44, 603, 202, 13225, 337, 2269, 32, 7343, 81, 500, 104, 2176, 463, 924, 19, 1425, 81, 463, 5448, 27855, 409, 22642, 25992, 32879, 2492, 1105, 1631, 271, 312, 225, 35, 32, 2847, 357, 202, 601, 2599, 26, 27838, 81, 5978, 30, 630, 547, 1297, 26, 2446, 30, 12373, 30, 20200, 30, 1619, 47, 1819, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 0, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 4, 4, 3, 4, 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, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 8, 9, 8, 9, 8, 10, 10, 10, 8, 10, 9, 10, 8, 10, 9, 10, 5, 5, 5, 8, 8, 6, 9, 8, 9, 10, 10, 10, 10, 10, 8, 10, 11, 11, 5, 5, 5, 8, 8, 8, 8, 8, 6, 9, 8, 9, 10, 10, 10, 10, 5, 5, 5, 8, 8, 8, 8, 8, 6, 9, 8, 9, 10, 10, 10, 10, 10, 8, 10, 9, 10, 8, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 6, 6, 7, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 4, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 5, 5, 5, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 9, 9, 11, 10, 12, 10, 10, 9, 6, 2, 2, 5, 5, 5, 5, 5, 6, 5, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 5, 5, 6, 5, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 3, 3, 5, 7, 7, 7, 7, 6, 6, 6, 7, 5, 5, 7, 7, 10, 10, 10, 10, 10, 10, 9, 11, 13, 13, 11, 9, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 9, 2, 3, 7, 7, 8, 8, 8, 8, 8, 8, 6, 6, 5, 6, 6, 6, 6, 6, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 6, 6, 1, 1, 2, 0, 0, 1, 2, 2, 2, 6, 6, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 3, 2, 1, 0, 5, 2, 2, 2, 2, 0, 1, 3, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 5, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 7, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 3, 2, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 4, 4, 9, 1, 1, 1, 1, 1, 9, 9, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 10, 0, 0, 1, 1, 1, 1, 3, 3, 2, 2, 1, 1, 3, 3, 5, 5, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 617, 7919, 1274, 203, 1070, 617, 7919, 1274, 1188, 308, 4855, 30, 17499, 81, 14285, 30, 17499, 81, 10007, 11144, 30, 17499, 81, 11144, 30, 17499, 81, 7597, 30, 275, 17499, 81, 13556, 30, 17499, 81, 25883, 30, 17499, 81, 927, 3908, 30, 45318, 1304, 81, 6664, 30, 45318, 1304, 81, 6961, 30, 37148, 30, 275, 25702, 30, 35226, 81, 6898, 44694, 30, 35226, 81, 1460, 2743, 1102, 780, 30, 23515, 27, 203, 465, 18105, 612, 203, 505, 464, 505, 280, 3037, 7919, 1274, 392, 313, 6084, 1599, 392, 313, 1339, 392, 313, 2447, 392, 313, 6084, 1446, 203, 589, 5013, 1274, 26, 687, 30, 4870, 30, 8329, 81, 681, 711, 284, 2663, 280, 617, 7919, 1274, 32, 7919, 1274, 26, 687, 30, 4870, 30, 8329, 81, 681, 27, 284, 442, 617, 890, 6084, 1599, 26, 1393, 30, 4870, 27, 203, 823, 12450, 1599, 2214, 44, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 3667, 19118, 280, 18105, 612, 32, 20984, 882, 7870, 346, 284, 665, 537, 26, 784, 30, 1858, 30, 4870, 711, 291, 415, 1858, 32, 681, 610, 617, 7919, 1274, 32, 2319, 81, 9842, 44, 324, 442, 4540, 26, 1274, 30, 4870, 27, 291, 415, 1858, 32, 681, 610, 617, 7919, 1274, 32, 2319, 81, 7420, 44, 324, 442, 1709, 26, 1274, 30, 4870, 27, 291, 442, 12450, 1599, 26, 1274, 30, 4870, 27, 284, 665, 1156, 1851, 3207, 784, 30, 1858, 30, 4870, 711, 291, 1202, 280, 1858, 30, 4870, 291, 2830, 280, 630, 3667, 19118, 32, 371, 26, 678, 30, 1665, 27, 291, 415, 2830, 438, 1665, 44, 324, 2830, 280, 630, 3667, 19118, 77, 678, 79, 280, 630, 32, 890, 26, 1274, 30, 4870, 27, 291, 442, 2830, 203, 81, 890, 6084, 1599, 280, 12450, 1599, 2214, 346, 203, 823, 12450, 1599, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 5081, 81, 1274, 30, 4870, 711, 291, 630, 1114, 1274, 280, 5081, 81, 1274, 291, 630, 1114, 3607, 280, 4870, 291, 630, 1114, 19111, 280, 2149, 284, 665, 1156, 13707, 3207, 784, 711, 291, 415, 630, 3667, 823, 505, 610, 12450, 1599, 44, 324, 6186, 280, 3330, 291, 813, 44, 324, 6186, 280, 5461, 101, 313, 904, 630, 3667, 823, 29215, 426, 505, 291, 415, 630, 1114, 1274, 32, 426, 610, 313, 3264, 563, 324, 442, 3778, 109, 34, 111, 6084, 1599, 436, 2297, 301, 35, 4872, 2296, 1643, 26, 5462, 30, 630, 1114, 3607, 27, 291, 813, 44, 324, 442, 3778, 109, 34, 111, 6084, 1599, 436, 301, 35, 111, 328, 301, 36, 4872, 2296, 1643, 26, 5462, 30, 9930, 630, 1114, 1274, 32, 426, 30, 9930, 630, 1114, 3607, 27, 284, 665, 622, 81, 681, 26, 784, 711, 291, 415, 630, 1114, 1274, 32, 681, 610, 617, 7919, 1274, 32, 2319, 81, 9856, 44, 324, 442, 313, 1647, 20, 291, 415, 630, 1114, 1274, 32, 681, 610, 617, 7919, 1274, 32, 2319, 81, 9842, 44, 324, 442, 313, 1126, 20, 291, 415, 630, 1114, 1274, 32, 681, 610, 617, 7919, 1274, 32, 2319, 81, 7420, 44, 324, 442, 313, 823 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 0, 1, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 7, 6, 7, 7, 6, 7, 6, 6, 6, 6, 7, 7, 6, 2, 2, 3, 5, 5, 5, 5, 6, 5, 5, 5, 0, 1, 1, 2, 2, 1, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 9, 8, 9, 9, 9, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 8, 6, 6, 8, 8, 7, 8, 8, 8, 5, 5, 5, 7, 9, 10, 9, 9, 9, 4, 4, 5, 7, 8, 6, 6, 8, 8, 7, 8, 8, 8, 5, 5, 5, 7, 9, 10, 9, 9, 9, 4, 4, 5, 7, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 9, 8, 8, 8, 4, 4, 5, 6, 6, 5, 5, 5, 8, 8, 11, 12, 10, 11, 10, 9, 9, 11, 12, 11, 12, 11, 11, 11, 4, 4, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 7, 8, 8, 6, 6, 7, 5, 5, 5, 8, 8, 5, 5, 6, 6, 6, 9, 9, 12, 12, 10, 10, 12, 13, 13, 12, 12, 4, 4, 5, 8, 9, 7, 8, 6, 6, 8, 8, 5, 5, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 9, 10, 9, 9, 10, 11, 9, 5, 5, 6, 6, 6, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 10, 10, 10, 12, 13, 11, 12, 10, 10, 10, 11, 12, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 6, 6, 8, 8, 7, 8, 8, 8, 5, 5, 5, 7, 9, 9, 4, 4, 5, 8, 9, 7, 8, 6, 6, 8, 8, 7, 8, 8, 8, 5, 5, 5, 7, 9, 9, 4, 4, 5, 8, 9, 7, 8, 6, 6, 8, 8, 7, 8, 8, 8, 5, 5, 5, 7, 9 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 4, 4, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 5, 5, 1, 1, 5, 5, 5, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 3, 3, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 4, 4, 2, 0, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 4, 4, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 1, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 3, 2, 1, 1, 1, 5, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 4, 4, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 4, 4, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1 ]
[ 1070, 1673, 2304, 32, 1648, 1188, 498, 4760, 2062, 203, 465, 4559, 108, 619, 25932, 203, 1070, 323, 2500, 716, 1188, 323, 404, 30, 33001, 30, 8745, 203, 1070, 323, 2500, 716, 32, 17935, 32, 6554, 1188, 803, 81, 6554, 203, 1070, 323, 2500, 716, 32, 9247, 1188, 1359, 81, 2304, 203, 1070, 323, 2500, 716, 32, 9247, 32, 4190, 1188, 17272, 81, 7949, 81, 20934, 203, 1070, 323, 2500, 716, 32, 9247, 1188, 5219, 339, 3557, 619, 14712, 203, 1070, 323, 2500, 716, 32, 34860, 1188, 11188, 30, 323, 757, 4315, 30, 298, 315, 31679, 203, 589, 617, 4190, 81, 89, 32976, 81, 1851, 81, 26279, 26, 2934, 81, 84, 1462, 30, 3946, 30, 2488, 81, 761, 30, 3082, 101, 2356, 30, 6699, 30, 963, 81, 761, 711, 284, 706, 280, 3946, 77, 34, 79, 284, 1359, 280, 706, 1365, 1163, 1446, 284, 33001, 81, 10340, 280, 33001, 32, 10340, 81, 1070, 81, 983, 440, 8328, 704, 392, 1359, 27, 284, 33001, 81, 10340, 32, 1945, 81, 3359, 440, 8328, 704, 81, 1055, 81, 612, 392, 2488, 81, 761, 27, 284, 436, 816, 328, 3014, 81, 84, 1462, 44, 291, 323, 404, 32, 1055, 26, 106, 30, 1359, 27, 284, 2803, 280, 3037, 31, 68, 392, 2488, 81, 761, 79, 284, 14755, 81, 6299, 81, 887, 280, 25932, 32, 371, 81, 266, 14141, 12124, 392, 313, 14550, 81, 6299, 81, 887, 3439, 1359, 27, 284, 415, 14755, 81, 6299, 81, 887, 461, 14755, 81, 6299, 81, 887, 333, 225, 38, 44, 291, 24462, 280, 313, 38, 32, 34, 20, 291, 2803, 1454, 3037, 287, 9138, 81, 887, 81, 30900, 81, 10402, 81, 979, 81, 38180, 392, 24462, 30, 4511, 7915, 9138, 81, 887, 81, 30900, 81, 10402, 81, 979, 81, 7911, 1054, 392, 24462, 79, 284, 436, 312, 328, 11188, 32, 371, 81, 89, 32976, 81, 8830, 26, 1163, 711, 291, 2803, 1454, 3037, 287, 4330, 392, 312, 79, 284, 436, 816, 328, 3014, 81, 84, 1462, 44, 291, 2803, 1454, 3037, 31, 59, 392, 816, 79, 284, 415, 3082, 101, 2356, 44, 291, 2803, 1454, 3037, 287, 43093, 2356, 392, 3082, 101, 2356, 79, 284, 7442, 81, 20934, 280, 25932, 32, 371, 81, 266, 14141, 12124, 392, 313, 7949, 81, 20934, 3439, 1359, 27, 284, 6699, 280, 17272, 81, 7949, 81, 20934, 26, 7949, 81, 20934, 30, 6699, 30, 963, 81, 761, 30, 3946, 27, 284, 415, 6699, 44, 291, 2803, 1454, 3037, 31, 62, 392, 323, 757, 4315, 32, 3419, 81, 452, 81, 89, 32976, 26, 3419, 471, 7915, 7568, 81, 470, 81, 5275, 392, 313, 5451, 20509, 1446, 284, 33001, 81, 10340, 280, 33001, 32, 10340, 81, 1070, 81, 1163, 26, 1163, 27, 284, 442, 33001, 81, 10340, 30, 2803, 203, 589, 43089, 81, 2518, 366, 7939, 26, 2934, 81, 84, 1462, 30, 3946, 30, 2488, 81, 761, 30, 32232, 81, 2536, 30, 5556, 6699, 47, 2521, 30, 963, 81, 761, 47, 2521, 711, 284, 415, 963, 81, 761, 438, 1665, 44, 291, 963, 81, 761, 280, 5461, 101, 31, 25582, 32, 31550, 32, 6680, 20, 904, 8745 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 4, 2, 2, 0, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 5, 6, 5, 2, 2, 4, 4, 5, 7, 7, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 6, 6, 2, 2, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 7, 7, 7, 5, 6, 6, 5, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 8, 7, 8, 7, 8, 7, 7, 7, 2, 2, 4, 4, 7, 7, 7, 5, 6, 6, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 7, 7, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 6, 6, 2, 2, 3, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 5, 5, 6, 3, 3, 3, 6, 6, 8, 8, 8, 8, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 2, 2, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 5, 6, 5, 3, 3, 6, 6, 9, 9, 9, 7, 7, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 6, 6, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 3, 3, 3, 6, 6, 9, 9, 9, 9, 7, 8, 8, 7, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 9, 9, 7, 9, 9, 9, 9, 6, 6, 2, 2, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 7, 7, 6, 6, 6, 2, 2, 3, 3, 3, 3, 6, 6, 9, 9, 9, 7, 10, 10, 9, 10, 10, 10, 10, 10, 10, 9, 10, 9, 7, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 7, 6, 2, 2, 3, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 1, 1, 3, 5, 5, 4, 4, 3, 3, 3, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 1, 4, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 0, 3, 3, 0, 7, 7, 0, 0, 1, 2, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 2, 11, 11, 2, 8, 8, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 7, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 7, 7, 7, 0, 0, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 8, 8, 8, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 8, 8, 0, 0, 1, 1, 2, 2, 2, 4, 4, 9, 9, 9, 3, 3, 3, 9, 9, 9, 0, 0, 1, 1, 2, 2, 2, 4, 4, 10, 1, 1, 10, 10, 10, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 4, 4, 13, 13, 13, 13, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 15, 0, 0, 1, 1, 0, 9, 9, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 2, 9, 2, 2, 2, 0, 0, 11, 2, 2, 9, 9, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2 ]
[ 1070, 8527, 32, 525, 1188, 17874, 203, 465, 4281, 1260, 619, 2361, 203, 589, 5417, 26, 83, 30, 804, 30, 1244, 280, 1665, 711, 284, 415, 312, 32, 2040, 81, 678, 26, 314, 711, 291, 442, 312, 77, 314, 79, 284, 442, 1244, 203, 589, 1459, 3637, 26, 2665, 3273, 30, 10525, 711, 284, 2152, 280, 3330, 284, 2152, 280, 2152, 474, 330, 225, 13838, 9378, 474, 4145, 338, 5213, 96, 25, 284, 436, 831, 30, 104, 328, 5436, 3273, 32, 40957, 2262, 291, 415, 6937, 26, 104, 30, 5436, 711, 324, 2152, 280, 2152, 474, 330, 225, 13838, 9378, 474, 4145, 374, 6457, 474, 831, 29, 25487, 29, 9398, 374, 6457, 324, 2152, 280, 2152, 474, 225, 1459, 3637, 26, 104, 30, 10525, 29, 35, 27, 291, 813, 44, 324, 2152, 280, 2152, 474, 225, 330, 13838, 9378, 474, 4145, 374, 6457, 474, 596, 26, 93, 27, 474, 25487, 474, 596, 26, 104, 27, 474, 9398, 374, 6457, 284, 2152, 280, 2152, 474, 330, 225, 13838, 9378, 474, 9398, 338, 5213, 96, 25, 284, 442, 2152, 203, 589, 2908, 42959, 26, 2076, 711, 284, 415, 827, 26, 2076, 27, 863, 596, 44, 291, 3124, 280, 2361, 32, 16958, 26, 2076, 27, 284, 442, 2908, 1031, 1397, 26, 2076, 30, 313, 878, 33, 7355, 657, 203, 589, 2908, 2526, 27774, 26, 2076, 711, 284, 442, 2908, 42959, 14178, 731, 25, 499, 3124, 1748, 203, 589, 2908, 1031, 1397, 26, 878, 30, 18346, 681, 347, 878, 33, 916, 10280, 284, 442, 17874, 26, 878, 30, 18346, 681, 47, 14639, 681, 27, 203, 589, 622, 12321, 1792, 1104, 26, 1357, 711, 284, 2152, 280, 1326, 32, 371, 81, 2620, 81, 983, 922, 2998, 32087, 284, 415, 2152, 77, 34, 79, 610, 40496, 291, 2152, 280, 2152, 77, 35, 10056, 284, 442, 2152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 2, 2, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 5, 6, 6, 6, 5, 6, 5, 3, 3, 5, 6, 7, 6, 2, 2, 3, 0, 1, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 4, 4, 2, 2, 4, 4, 6, 6, 9, 9, 8, 5, 5, 7, 7, 8, 7, 2, 2, 3, 4, 5, 3, 3, 6, 5, 6, 5, 3, 3, 5, 7, 8, 7, 7, 7, 5, 5, 8, 8, 13, 13, 16, 16, 15, 12, 12, 14, 14, 11, 11, 10, 10, 9, 9, 11, 11, 6, 6, 8, 8, 9, 9, 9, 11, 11, 12, 11, 11, 12, 13, 11, 5, 5, 6, 6, 6, 9, 9, 15, 15, 15, 18, 17, 14, 14, 16, 16, 13, 13, 15, 16, 15, 12, 12, 11, 11, 13, 14, 13, 10, 10, 12, 12, 2, 2, 4, 4, 6, 6, 9, 9, 8, 5, 5, 7, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 6, 7, 6, 4, 4, 3, 3, 3, 6, 6, 8, 9, 8, 9, 8, 2, 2, 3, 5, 5, 5, 6, 5, 5, 7, 7, 7, 7, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 5, 5, 9, 9, 7, 7, 6, 0, 1, 1, 2, 2, 2, 3, 2, 2, 4, 3, 5, 5, 5, 5, 1, 1, 3, 5, 6, 5, 5, 7, 6, 7, 7, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 8, 9, 9, 9, 9, 9, 8, 7, 6, 2, 2, 3, 5, 6, 5, 4, 4, 3, 3, 6, 6, 7, 9, 8, 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 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 4, 4, 1, 0, 3, 3, 1, 2, 1, 1, 2, 2, 2, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 4, 4, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 3, 3, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 3, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 4, 4, 4, 0, 4, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 1, 1, 2, 1, 2, 5, 5, 0, 0, 1, 1, 2, 1, 1, 1, 0, 6, 6, 1, 1, 2, 1, 2, 2, 0, 3, 1, 1, 1, 2, 6, 6, 0, 1, 1, 1, 1, 0, 3, 2, 2, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 4, 4, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 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 ]
[ 465, 15798, 203, 1070, 6765, 17594, 32, 5522, 1188, 4705, 81, 2292, 203, 1070, 3312, 32, 2282, 1188, 3219, 81, 31242, 81, 2292, 30, 622, 81, 858, 81, 2833, 81, 17594, 203, 823, 2108, 3406, 26, 18986, 32, 7233, 711, 284, 665, 14553, 26, 784, 711, 16189, 630, 32, 31667, 280, 622, 81, 858, 81, 2833, 81, 17594, 346, 284, 665, 28921, 26, 784, 711, 16189, 630, 32, 31667, 32, 4048, 346, 284, 665, 894, 81, 5522, 81, 2292, 26, 784, 711, 291, 630, 32, 1664, 81, 31242, 346, 291, 1359, 280, 3447, 6446, 563, 6663, 313, 6446, 81, 2255, 563, 3447, 426, 81, 35, 563, 3447, 9244, 563, 313, 858, 32, 858, 14944, 111, 291, 1201, 4705, 81, 2292, 26, 784, 32, 31667, 30, 313, 6446, 81, 2255, 392, 1359, 27, 291, 1201, 5436, 26, 784, 32, 31667, 32, 10615, 32, 371, 440, 6446, 81, 2255, 32, 426, 81, 35, 1895, 5843, 27, 610, 301, 324, 313, 2225, 81, 314, 563, 3037, 858, 32, 858, 3439, 324, 313, 25306, 81, 426, 563, 313, 426, 81, 35, 392, 324, 313, 14991, 81, 452, 81, 2245, 563, 225, 36, 38, 30, 324, 313, 8188, 563, 225, 34, 30, 291, 320, 284, 665, 3219, 81, 31242, 26, 784, 711, 291, 3219, 81, 31242, 81, 2292, 26, 784, 32, 31667, 27, 291, 630, 32, 31667, 32, 1366, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 5, 4, 3, 3, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 8, 8, 7, 4, 4, 6, 6, 10, 10, 8, 7, 10, 10, 10, 10, 8, 12, 12, 12, 12, 10, 14, 14, 12, 14, 14, 14, 14, 7, 4, 4, 5, 7, 7, 7, 9, 8, 9, 7, 7, 9, 9, 9, 9, 7, 7, 4, 4, 5, 8, 14, 13, 14, 12, 13, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 10, 8, 6, 6, 7, 7, 10, 10, 10, 10, 8, 11, 11, 11, 11, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 8, 9, 9, 7, 7, 7, 10, 10, 8, 9, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 7, 9, 8, 9, 7, 4, 4, 8, 9, 7, 8, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 1, 2, 0, 1, 2, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 4, 4, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 4, 4, 3, 1, 1, 2, 1, 2, 3, 3, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 273, 15003, 604, 32, 1262, 32, 380, 37305, 7944, 1188, 1884, 37305, 7944, 203, 1070, 273, 15003, 604, 32, 1262, 32, 380, 37305, 7944, 1188, 4237, 885, 203, 1070, 273, 15003, 604, 32, 1262, 32, 380, 37305, 7944, 1188, 31494, 203, 1070, 273, 15003, 604, 32, 1262, 32, 380, 37305, 7944, 1188, 1884, 37305, 7944, 6136, 203, 465, 2361, 203, 823, 4841, 52, 35962, 26, 828, 37305, 7944, 711, 284, 665, 1156, 1664, 3207, 784, 30, 273, 15003, 604, 81, 2848, 711, 291, 2599, 26, 2230, 52, 35962, 30, 630, 14585, 1664, 3207, 102, 15003, 604, 81, 2848, 30, 3056, 5876, 33, 24249, 33, 7105, 33, 48599, 33, 52, 35962, 33, 2230, 52, 35962, 683, 284, 665, 537, 81, 1131, 81, 470, 26, 784, 711, 291, 442, 4841, 52, 35962, 1612, 885, 346, 284, 665, 617, 2682, 81, 1267, 81, 470, 26, 784, 30, 1056, 30, 1519, 711, 291, 442, 4841, 52, 35962, 15841, 26, 1267, 30, 1519, 27, 284, 665, 617, 2682, 81, 10500, 26, 784, 30, 3523, 30, 2299, 81, 314, 30, 1519, 711, 291, 442, 4841, 52, 35962, 828, 37305, 7944, 6136, 26, 2848, 30, 2299, 81, 314, 30, 1519, 27, 203, 823, 4841, 52, 35962, 1612, 885, 26, 1612, 885, 711, 284, 665, 739, 81, 16439, 26, 784, 30, 786, 711, 291, 2599, 26, 2230, 52, 35962, 1612, 885, 30, 630, 42690, 470, 81, 1131, 463, 16439, 370, 786, 27, 284, 665, 739, 81, 1711, 779, 26, 784, 30, 786, 711, 291, 2599, 26, 2230, 52, 35962, 1612, 885, 30, 630, 42690, 470, 81, 1131, 463, 1711, 779, 370, 786, 27, 284, 665, 739, 81, 4140, 26, 784, 30, 786, 711, 291, 2599, 26, 2230, 52, 35962, 1612, 885, 30, 630, 42690, 470, 81, 1131, 463, 4140, 370, 786, 27, 284, 665, 739, 81, 5827, 26, 784, 30, 786, 711, 291, 2599, 26, 2230, 52, 35962, 1612, 885, 30, 630, 42690, 470, 81, 1131, 463, 5827, 370, 786, 27, 284, 665, 739, 81, 3457, 26, 784, 30, 786, 711, 291, 2599, 26, 2230, 52, 35962, 1612, 885, 30, 630, 42690, 470, 81, 1131, 463, 3457, 370, 786, 27, 284, 665, 739, 81, 4290, 779, 26, 784, 30, 786, 711, 291, 2599, 26, 2230, 52, 35962, 1612, 885, 30, 630, 42690, 470, 81, 1131, 463, 4290, 779, 370, 786, 27, 284, 665, 739, 81, 1397, 2207, 26, 784, 30, 786, 711, 291, 2599, 26, 2230, 52, 35962, 1612, 885, 30, 630, 42690, 470, 81, 1131, 463, 1397, 2207, 370, 786, 27, 203, 823, 4841, 52, 35962, 15841, 26, 15841, 711, 284, 665, 622, 3265, 17725, 26, 784, 30, 596, 711, 291, 442, 2361, 32, 12474, 26, 466, 27, 284, 665, 622, 81, 1397, 26, 784, 711, 291, 442, 630, 1114, 2024, 32, 371, 463, 1397, 370, 1665, 27, 284, 665, 622, 81, 3993, 3353, 26, 784, 711, 291, 442, 630, 1114, 2024, 32, 371, 463, 3993, 3353, 370, 1665, 27, 284, 665, 622, 81, 3993, 11698, 26, 784, 711, 291, 442, 630, 1114, 2024, 32, 371, 463, 3993, 11698, 370, 1665, 27, 203, 823, 4841, 52, 35962, 828 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 3, 3, 9, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 7, 7, 7, 7, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 5, 4, 4, 4, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 8, 8, 7, 7, 7, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 9, 9, 9, 7, 7, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 9, 9, 7, 7, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 9, 9, 9, 7, 7, 0, 1, 1, 2, 2, 2 ]
[ 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 4, 4, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 3, 3, 0, 0, 1, 2, 1, 4, 4, 4, 3, 3, 0, 0, 0, 0, 4, 4, 0, 5, 5, 1, 1, 2, 1, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 1, 1, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, 2, 6, 6, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 4, 4, 5, 1, 1, 1, 2, 1, 2, 2, 2, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 2, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 7, 7, 1, 1, 1, 2, 1, 2, 7, 7, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 8, 8, 1, 1, 1 ]
[ 465, 2322, 203, 1070, 2919, 2208, 1188, 3659, 2825, 30, 28135, 8412, 81, 31528, 203, 465, 312, 277, 32, 8463, 32, 91, 35, 42, 96, 203, 1070, 40946, 1188, 40946, 619, 617, 203, 589, 1968, 81, 3922, 2262, 284, 4118, 280, 3659, 2825, 26, 8795, 31197, 15446, 428, 2184, 79, 428, 761, 27054, 803, 36, 30, 2417, 3212, 370, 3775, 1503, 31197, 15446, 225, 34, 32, 35, 370, 3775, 3048, 1057, 7488, 322, 12624, 13244, 330, 474, 3775, 15584, 641, 555, 6419, 32, 88, 1269, 1546, 32, 2632, 103, 32, 4520, 33, 460, 33, 460, 33, 8463, 32, 916, 27, 330, 474, 3775, 330, 979, 1829, 2471, 11834, 284, 4118, 32, 669, 81, 1762, 12605, 96, 370, 11363, 893, 31, 2171, 370, 2855, 1244, 47, 950, 370, 34664, 1057, 10463, 370, 2855, 3049, 1057, 14686, 1778, 26, 101, 27, 645, 32338, 32, 225, 23801, 883, 526, 312, 330, 2855, 330, 6270, 1451, 308, 539, 312, 11003, 1451, 372, 2385, 645, 330, 2855, 330, 1382, 1751, 27, 556, 312, 2155, 44, 1477, 44, 4048, 44, 2997, 30, 2154, 322, 330, 2855, 330, 563, 2997, 20, 1742, 883, 526, 2841, 963, 429, 1244, 2078, 884, 330, 2855, 330, 34, 44, 96, 2242, 44, 35, 11834, 284, 4118, 32, 669, 81, 1762, 12605, 103, 370, 11363, 2245, 31, 2243, 31, 3376, 370, 827, 1057, 410, 370, 2855, 1244, 47, 35, 30, 34664, 1057, 59, 370, 2855, 3049, 347, 34, 44, 12029, 1330, 2519, 4201, 4020, 32, 261, 35, 44, 7914, 4201, 4020, 32, 225, 313, 2855, 330, 36, 44, 7914, 1169, 432, 4201, 4020, 11834, 284, 4118, 32, 669, 81, 1762, 12605, 100, 370, 11363, 8101, 370, 2855, 1244, 1057, 35, 370, 2855, 3049, 1057, 18293, 4201, 4020, 32, 225, 4417, 4825, 100, 225, 36, 20, 556, 4825, 100, 225, 36, 30, 37, 30, 35, 2296, 683, 284, 4118, 32, 669, 81, 1762, 12605, 68, 370, 11363, 5346, 993, 370, 1244, 26409, 2855, 3049, 1057, 17533, 44, 4825, 68, 429, 43, 34, 106, 392, 4825, 68, 225, 43, 34, 108, 5437, 37, 34, 106, 2296, 683, 284, 4118, 32, 669, 81, 1762, 12605, 97, 370, 11363, 2024, 370, 34664, 1057, 3539, 370, 2855, 3049, 1057, 2538, 18353, 372, 10960, 11834, 284, 4118, 32, 669, 81, 1762, 12605, 89, 370, 11363, 2255, 370, 2855, 34664, 1057, 17793, 370, 2855, 3049, 1057, 11689, 816, 30, 107, 35, 30, 107, 36, 46470, 3996, 645, 18353, 556, 330, 2855, 330, 1821, 706, 372, 309, 12287, 303, 328, 10719, 2926, 32, 225, 4417, 322, 330, 2855, 330, 19111, 44, 595, 30, 309, 30, 343, 30, 296, 1449, 30, 484, 30, 484, 10489, 30, 399, 30, 559, 30, 516, 461, 506, 32, 225, 2802, 330, 2855, 330, 641, 555, 6419, 32, 88, 1269, 1546, 32, 2632, 103, 32, 4520, 33, 460, 33, 460, 33, 8463, 32, 916, 25, 2855, 5307, 3399, 1054, 31, 605, 436, 1829, 4245, 11834, 284, 4118, 32, 669, 81, 1762, 12605, 102, 370, 11363, 16914, 370, 2855, 2125, 1057, 2157, 81, 1508, 370, 2855, 1244, 47, 2700, 30, 2855, 3049, 1057, 2529, 328, 10719, 3223, 429, 1289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 4, 4, 6, 6, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 9, 9, 6, 6, 7, 11, 11, 11, 11, 11, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 8, 10, 10, 10, 10, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 5, 5, 6, 8, 8, 5, 6, 8, 8, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 6, 8, 8, 5, 5, 6, 7, 5, 5, 6, 8, 8, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 5, 6, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 5, 6, 5, 5, 6, 8, 8, 8, 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, 8, 8, 5, 5, 6, 8, 8, 8, 8, 8, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 5, 6, 8, 8, 5, 5, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 7, 7, 5, 5, 6, 8, 8, 8, 8, 5, 5, 6, 7, 5, 5, 5, 6, 8, 8, 8, 8, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 1, 1, 2, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 5, 0, 2, 1, 7, 1, 2, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 1, 7, 2, 1, 1, 9, 1, 2, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 5, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 5, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 5, 1, 2, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 5, 1, 1, 1, 2, 1, 1, 7, 2, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 7138, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 638, 3378, 1188, 20671, 30, 14533, 30, 9953, 203, 823, 475, 1196, 4470, 26, 7233, 711, 284, 665, 894, 81, 10513, 81, 1160, 81, 33261, 26, 784, 711, 291, 312, 35, 280, 20671, 32, 5740, 32, 1297, 26, 324, 1780, 347, 3472, 1591, 392, 324, 2547, 81, 770, 47, 6665, 32, 770, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 36, 42, 471, 291, 829, 291, 312, 36, 280, 20671, 32, 5740, 32, 1297, 26, 324, 1780, 347, 20976, 1591, 392, 324, 2547, 81, 770, 47, 6665, 32, 770, 26, 36, 34, 35, 34, 30, 225, 41, 30, 225, 36, 42, 471, 291, 829, 291, 312, 37, 280, 20671, 32, 5740, 32, 1297, 26, 324, 1780, 347, 24165, 1591, 30, 328, 322, 1932, 5808, 392, 324, 2547, 81, 770, 47, 6665, 32, 770, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 36, 42, 471, 291, 829, 291, 312, 35, 32, 8680, 32, 1297, 26, 324, 1344, 347, 4656, 322, 677, 792, 61, 13700, 324, 2547, 81, 770, 47, 6665, 32, 770, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 36, 42, 471, 291, 829, 291, 312, 35, 32, 8680, 32, 1297, 26, 324, 1344, 347, 58, 792, 61, 13723, 7877, 13700, 324, 2547, 81, 770, 47, 6665, 32, 770, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 36, 43, 471, 291, 829, 291, 312, 36, 32, 8680, 32, 1297, 26, 324, 1344, 347, 62, 1400, 65, 392, 324, 2547, 81, 770, 47, 6665, 32, 770, 26, 36, 34, 35, 34, 30, 225, 41, 30, 225, 36, 42, 471, 291, 829, 291, 312, 37, 32, 8680, 32, 1297, 26, 324, 1344, 16851, 35, 392, 324, 2547, 81, 770, 47, 6665, 32, 770, 26, 36, 34, 34, 39, 30, 225, 42, 30, 225, 36, 43, 471, 291, 829, 291, 281, 280, 9953, 32, 5740, 32, 1297, 26, 426, 347, 509, 2406, 31, 7880, 657, 291, 281, 32, 11507, 32, 669, 26, 83, 35, 30, 312, 37, 27, 291, 630, 32, 862, 1625, 470, 1324, 26, 324, 14533, 32, 5740, 32, 4419, 440, 4066, 505, 2862, 81, 770, 392, 313, 4548, 2113, 428, 400, 7138, 32, 770, 26, 36, 34, 34, 39, 30, 225, 35, 30, 225, 35, 471, 400, 7138, 32, 770, 26, 36, 34, 35, 34, 30, 225, 35, 30, 225, 35, 471, 324, 2505, 324, 9254, 343, 44, 343, 30, 291, 829, 291, 630, 32, 862, 1625, 470, 1324, 26, 324, 14533, 32, 5740, 32, 4419, 440, 4066, 505, 2862, 81, 770, 392, 313, 5904, 2113, 428, 400, 7138, 32, 770, 26, 36, 34, 34, 39, 30, 225, 41, 30, 225, 35, 471, 400, 7138, 32, 770, 26, 36, 34, 35, 34, 30, 225, 41, 30, 225, 35, 471, 324, 2505, 324, 9254, 343, 44, 343, 291, 829, 291, 630, 32, 862, 1625, 470, 1324, 26, 324, 14533, 32, 5740, 32, 4419, 440, 4066, 505, 2862, 81, 770, 392, 313, 3368, 2113, 428, 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, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 11, 11, 11, 8, 8, 10, 10, 9, 12, 11, 12, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 8, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 11, 11, 11, 8, 8, 10, 10, 9, 12, 11, 12, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 8, 8, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 10, 10, 9, 12, 11, 12, 11, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 12, 11, 8, 8, 4, 4, 9, 8, 9, 7, 8, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 11, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 7, 7, 4, 4, 9, 8, 9, 7, 8, 7, 7, 7, 8, 10, 10, 10, 10, 10, 10, 7, 7, 9, 9, 8, 11, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 7, 7, 4, 4, 9, 8, 9, 7, 8, 7, 7, 7, 8, 10, 10, 10, 10, 7, 7, 9, 9, 8, 11, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 7, 7, 4, 4, 9, 8, 9, 7, 8, 7, 7, 7, 8, 10, 10, 7, 7, 9, 9, 8, 11, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 11, 10, 7, 7, 4, 4, 6, 6, 9, 10, 8, 9, 8, 10, 9, 11, 11, 11, 11, 11, 4, 4, 8, 9, 7, 8, 7, 8, 8, 7, 7, 8, 7, 4, 4, 7, 8, 8, 8, 8, 7, 7, 7, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 7, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 8, 8, 7, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 8, 8, 7, 7, 7, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 7, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 8, 8, 10, 11, 10, 11, 11, 11, 11, 10, 10, 11, 10, 10, 11, 10, 8, 8, 7, 7, 8, 8, 8, 7, 7, 4, 4, 7, 8, 8, 8, 8, 7, 7, 7, 10, 11, 9, 10, 9, 11, 11, 11, 11, 11, 11, 9, 11, 11, 7, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 3, 3, 1, 1, 5, 5, 5, 1, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 5, 1, 3, 3, 1, 1, 5, 5, 5, 1, 1, 4, 4, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 3 ]
[ 1070, 38576, 2833, 3773, 32, 1160, 32, 10187, 5603, 1188, 15041, 5603, 2424, 203, 1070, 38576, 2833, 3773, 32, 1160, 32, 4255, 1188, 11258, 2424, 203, 1070, 6765, 17594, 32, 913, 1188, 308, 284, 34062, 81, 7420, 81, 52, 15835, 75, 30, 284, 34062, 81, 7420, 81, 41004, 779, 2917, 30, 284, 34062, 81, 7420, 81, 13142, 43214, 6307, 30, 284, 34062, 81, 7420, 81, 10115, 527, 11789, 30, 203, 27, 203, 1070, 3312, 32, 3527, 32, 2833, 3773, 81, 4627, 32, 2282, 1188, 4705, 81, 858, 81, 2292, 203, 10115, 527, 11789, 280, 2884, 17473, 392, 313, 17473, 32, 1700, 657, 203, 41004, 779, 2917, 280, 2884, 48251, 392, 313, 9535, 31, 48251, 32, 1700, 657, 203, 18863, 81, 10729, 280, 2884, 2429, 392, 313, 2429, 31, 2649, 32, 1700, 657, 203, 53, 11288, 567, 81, 15268, 74, 8455, 81, 10729, 280, 2884, 11499, 31, 46579, 106, 805, 392, 313, 11499, 31, 46579, 106, 805, 32, 2649, 657, 203, 52, 15835, 75, 81, 10729, 280, 2884, 27404, 392, 313, 27404, 31, 2649, 657, 203, 4924, 32384, 81, 6103, 280, 2884, 27404, 392, 313, 380, 29883, 31, 1293, 657, 203, 1305, 81, 52, 12734, 280, 2884, 27404, 392, 313, 1517, 31, 315, 31, 84, 3131, 657, 203, 589, 1487, 81, 17473, 81, 12601, 81, 2122, 26, 3560, 628, 711, 284, 2719, 280, 2857, 628, 32, 669, 81, 2122, 26, 5454, 2424, 32, 10115, 527, 11789, 81, 33631, 27, 284, 2738, 81, 1293, 280, 2719, 32, 669, 81, 1594, 26, 6881, 5603, 2424, 32, 10115, 527, 11789, 81, 13926, 27, 284, 2738, 81, 1293, 32, 853, 280, 225, 34, 203, 589, 1487, 81, 48251, 81, 12601, 81, 2122, 26, 3560, 628, 711, 284, 2719, 280, 2857, 628, 32, 669, 81, 2122, 26, 5454, 2424, 32, 41004, 779, 2917, 81, 33631, 27, 284, 2738, 81, 1293, 280, 2719, 32, 669, 81, 1594, 26, 6881, 5603, 2424, 32, 16477, 13829, 81, 41004, 779, 2917, 81, 13926, 27, 284, 2738, 81, 1293, 32, 853, 280, 225, 34, 203, 589, 1487, 81, 2429, 81, 2649, 81, 12601, 81, 2122, 26, 3560, 628, 711, 284, 2719, 280, 2857, 628, 32, 669, 81, 2122, 26, 5454, 2424, 32, 18863, 81, 33631, 27, 284, 2738, 81, 1293, 280, 2719, 32, 669, 81, 1594, 26, 6881, 5603, 2424, 32, 18863, 81, 10729, 81, 13926, 27, 284, 2738, 81, 1293, 32, 853, 280, 225, 34, 203, 589, 1487, 81, 11499, 81, 46579, 106, 805, 81, 2649, 81, 12601, 81, 2122, 26, 3560, 628, 711, 284, 2719, 280, 2857, 628, 32, 669, 81, 2122, 26, 5454, 2424, 32, 53, 11288, 567, 81, 15268, 74, 8455, 81, 33631, 27, 284, 2738, 81, 1293, 280, 2719, 32, 669, 81, 1594, 26, 6881, 5603, 2424, 32, 53, 11288, 567, 81, 15268, 74, 8455, 81, 10729, 27, 284, 2738, 81, 1293, 32, 853, 280, 225, 34, 203, 589, 1487, 81, 27404, 81, 2649, 81, 12601, 26, 3560, 628, 711, 284, 2719, 280, 2857, 628, 32, 669, 81, 2122, 26, 5454, 2424, 32, 52, 15835, 75, 81, 12744, 27, 284, 2738, 81, 1293, 280, 2719, 32, 669, 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, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 3, 3, 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, 3, 3, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 6, 6, 5, 6, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 2, 2, 6, 6, 5, 6, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 7, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 6, 6, 5, 6, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 2, 2, 6, 6, 5, 6, 4, 4, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 4, 4, 7, 6, 7, 7, 7, 6, 8, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 6, 7, 7 ]
[ 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 4, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 4, 4, 1, 6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 11, 11, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 2, 0, 12, 12, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 12, 12, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 2, 0, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 13, 13, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 2, 0, 14, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 14, 14, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 0, 0, 2, 0, 15, 15, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 15, 15, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2 ]
[ 1070, 3619, 32725, 32, 1621, 1188, 11647, 203, 1070, 3619, 32725, 32, 1956, 1188, 30465, 30, 3270, 30, 14533, 30, 892, 30, 3081, 30, 766, 275, 16734, 30, 12671, 203, 823, 8847, 13302, 2275, 26, 2275, 711, 284, 3208, 81, 1489, 280, 5100, 14074, 20, 284, 1244, 81, 1621, 280, 3330, 284, 10022, 280, 301, 291, 14533, 44, 6019, 5100, 34, 34, 42, 34, 34, 34, 392, 291, 14533, 32, 2626, 6789, 44, 2264, 5100, 34, 34, 34, 34, 486, 392, 291, 30465, 44, 6019, 5100, 34, 34, 34, 34, 486, 392, 291, 16734, 32, 5095, 44, 2407, 5100, 34, 34, 34, 34, 486, 392, 291, 30465, 32, 620, 44, 2850, 5100, 36, 84, 43, 35, 1549, 392, 291, 3270, 32, 1339, 44, 2071, 5100, 36, 84, 43, 35, 1549, 392, 291, 892, 44, 4696, 5100, 83, 37, 35, 39, 35, 39, 392, 291, 12671, 32, 14546, 44, 2264, 313, 8570, 392, 291, 12671, 32, 1721, 7114, 44, 351, 313, 8570, 392, 291, 12671, 32, 16794, 90, 44, 2850, 313, 20341, 392, 291, 12671, 32, 26011, 44, 1468, 313, 8570, 392, 291, 12671, 32, 18249, 44, 1468, 313, 8570, 392, 291, 3081, 44, 6022, 313, 3478, 8806, 1139, 34, 34, 34, 34, 20, 284, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 2, 2, 4, 4, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 7, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 7, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 7, 8, 6, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 5, 5, 7, 8, 6, 6, 6, 8, 8, 5, 5, 7, 8, 8, 6, 6, 6, 8, 8, 5, 5, 7, 8, 8, 6, 6, 6, 8, 8, 5, 5, 7, 8, 6, 6, 6, 8, 8, 5, 5, 7, 8, 6, 6, 6, 8, 8, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 2, 2, 2, 5, 5, 5, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 7, 7, 7, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 9, 9, 9, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 11, 11, 11, 1, 1, 1, 1, 1, 2, 2, 2, 13, 13, 13, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 15, 15, 15, 1, 2, 2, 2, 0, 2, 2, 17, 17, 17, 1, 2, 2, 2, 0, 2, 2, 19, 19, 19, 1, 2, 2, 2, 0, 2, 21, 21, 21, 1, 2, 2, 2, 0, 2, 23, 23, 23, 1, 2, 2, 2, 25, 25, 25, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 26313, 203, 465, 27374, 203, 1070, 18851, 700, 1188, 9476, 203, 1070, 18851, 700, 32, 38860, 1188, 24350, 13976, 203, 1070, 310, 607, 14474, 32, 1199, 1188, 3082, 203, 1070, 310, 607, 14474, 32, 4275, 1188, 3878, 203, 1070, 310, 607, 14474, 32, 4073, 1188, 4082, 203, 465, 310, 607, 14474, 32, 8358, 619, 16215, 203, 1070, 310, 607, 14474, 32, 8358, 32, 16097, 1188, 489, 607, 14474, 12698, 203, 823, 17292, 9117, 26, 9117, 13976, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3387, 30, 13564, 711, 291, 630, 32, 3841, 280, 3387, 291, 630, 32, 16097, 280, 13564, 284, 665, 622, 81, 39270, 483, 26, 784, 30, 24350, 30, 3826, 711, 291, 442, 428, 9117, 26, 28412, 6020, 8358, 32, 8077, 14474, 81, 3926, 614, 656, 16301, 6020, 784, 32, 19885, 81, 2076, 25456, 284, 665, 16831, 81, 2076, 26, 784, 30, 3361, 30, 3124, 711, 291, 3309, 280, 18623, 26, 784, 32, 16097, 30, 3361, 1365, 1959, 6890, 291, 1596, 44, 324, 3309, 14605, 1548, 1365, 1132, 6890, 324, 3082, 922, 3375, 346, 291, 2940, 3878, 32, 11394, 4868, 2247, 619, 484, 44, 324, 4082, 32, 8447, 26, 466, 26, 87, 490, 324, 3082, 922, 24654, 346, 291, 2940, 3268, 44, 324, 4082, 32, 731, 26, 35382, 32, 1643, 81, 14806, 1157, 324, 3082, 922, 24654, 346, 291, 8295, 44, 324, 3124, 32, 459, 346, 324, 3082, 922, 24239, 81, 464, 346, 203, 823, 8229, 2183, 418, 700, 3021, 26, 42183, 32, 3021, 711, 284, 665, 1156, 1664, 3207, 784, 30, 540, 4126, 100, 81, 823, 47, 64, 607, 14474, 12698, 711, 291, 2599, 26, 5735, 2183, 418, 700, 3021, 30, 630, 14585, 1664, 16369, 291, 630, 32, 4048, 1357, 280, 26313, 32, 1151, 346, 291, 630, 32, 16097, 280, 540, 4126, 100, 81, 823, 291, 630, 32, 3841, 280, 1665, 284, 665, 7140, 26, 784, 30, 5868, 47, 2521, 711, 291, 630, 32, 4048, 1357, 32, 470, 346, 291, 630, 32, 14162, 32, 3163, 81, 4048, 280, 2933, 291, 2599, 26, 5735, 2183, 418, 700, 3021, 30, 630, 547, 2524, 26, 5457, 27, 284, 665, 1420, 26, 784, 711, 291, 623, 9476, 26, 8358, 32, 3781, 81, 466, 27, 619, 4567, 44, 324, 630, 32, 14162, 280, 17292, 9117, 26, 3781, 30, 630, 32, 16097, 27, 324, 630, 32, 14162, 32, 1945, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 4, 4, 3, 4, 2, 2, 0, 1, 1, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 3, 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, 5, 4, 4, 4, 4, 4, 3, 3, 5, 8, 8, 10, 9, 12, 11, 12, 12, 12, 12, 10, 8, 8, 9, 12, 11, 12, 12, 12, 10, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 6, 6, 8, 10, 9, 10, 8, 8, 9, 11, 11, 4, 4, 5, 5, 5, 9, 12, 11, 13, 13, 6, 6, 11, 10, 9, 5, 5, 6, 8, 9, 9, 9, 7, 7, 6, 6, 6, 10, 11, 10, 12, 12, 13, 12, 7, 7, 12, 11, 10, 5, 5, 6, 6, 6, 6, 10, 11, 10, 13, 12, 13, 13, 13, 12, 7, 7, 12, 11, 10, 5, 5, 6, 6, 6, 10, 11, 10, 7, 7, 12, 11, 11, 11, 10, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 6, 6, 6, 5, 6, 6, 6, 6, 4, 3, 3, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 8, 6, 6, 8, 9, 8, 4, 4, 7, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 5, 6, 4, 3, 3, 8, 9, 9, 7, 8, 7, 4, 4, 8, 9, 7, 8, 8, 8, 6, 6, 4, 4, 9, 10, 10, 10, 10, 10, 9, 9, 9, 8, 7, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 10, 12, 11, 12, 12, 12, 10, 8, 8, 5, 5, 5, 9, 10, 8, 8, 10, 10, 11, 10, 10, 11, 12, 10, 6, 6, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 7, 7, 0, 0, 0, 2, 1, 1, 0, 8, 8, 0, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 0, 9, 9, 1, 2, 1, 1, 2, 9, 9, 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, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 0, 1, 2, 2, 2, 2, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 3, 1, 2, 4, 4, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 3, 0, 2, 2, 2, 1, 1, 3, 3, 3, 0, 2, 1, 0, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 4, 4, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 1, 3, 3, 1, 2, 1, 1, 1, 5, 5, 5, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 10, 10, 1, 1, 1, 1, 2, 0, 1, 2, 2, 10, 10, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 0, 0, 0, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 4, 4, 0, 2, 0, 2, 2, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 3, 2, 1, 3, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 35094, 203, 1270, 44, 284, 1188, 2361, 203, 7343, 29986, 44, 284, 1188, 4281, 1260, 619, 2361, 203, 465, 13092, 203, 1070, 26790, 32, 1237, 1188, 9098, 30, 1420, 203, 1070, 36853, 4280, 32, 2536, 1188, 438, 81, 761, 203, 1070, 36853, 4280, 32, 1981, 1188, 3362, 619, 1205, 81, 5660, 203, 1070, 36853, 4280, 32, 1981, 1188, 803, 619, 1205, 81, 761, 203, 12408, 1826, 280, 13092, 32, 1826, 32, 4573, 203, 50, 12408, 32, 12940, 203, 589, 37289, 26, 3473, 1057, 1647, 7831, 284, 645, 36853, 4280, 32, 10414, 1188, 2443, 81, 1070, 81, 1855, 30, 1503, 30, 4040, 81, 4530, 284, 415, 1503, 346, 863, 4040, 81, 4530, 44, 291, 2443, 81, 1070, 81, 1855, 346, 203, 589, 894, 81, 10414, 81, 297, 81, 18132, 26, 10414, 711, 284, 645, 36853, 4280, 32, 10414, 1188, 1503, 30, 4040, 81, 4530, 284, 1201, 438, 81, 761, 3247, 3381, 33, 1696, 33, 1771, 33, 1251, 683, 284, 1201, 1503, 346, 610, 4040, 81, 4530, 203, 589, 894, 81, 3789, 81, 363, 81, 41758, 81, 3264, 81, 1320, 26, 10414, 711, 284, 645, 36853, 4280, 32, 10414, 1188, 2443, 81, 1320, 30, 2652, 81, 1648, 30, 28870, 81, 1320, 284, 415, 646, 2652, 81, 1648, 463, 31626, 7831, 291, 2443, 81, 1320, 463, 31626, 370, 1503, 1057, 35, 32, 38, 32, 36, 683, 284, 1201, 2652, 81, 1648, 463, 31626, 683, 610, 330, 35, 32, 38, 32, 36, 25, 284, 1201, 438, 81, 761, 3247, 3381, 33, 1696, 33, 1356, 33, 1251, 81, 3477, 33, 31626, 33, 31626, 32, 754, 683, 284, 28870, 81, 1320, 463, 31626, 683, 284, 1201, 2652, 81, 1648, 463, 31626, 683, 438, 1665, 284, 1201, 646, 438, 81, 761, 3247, 3381, 33, 1696, 33, 1356, 33, 1251, 81, 3477, 33, 31626, 33, 31626, 32, 754, 683, 203, 589, 894, 81, 3789, 81, 363, 81, 41758, 81, 1696, 81, 1320, 26, 10414, 711, 284, 645, 36853, 4280, 32, 10414, 1188, 2443, 81, 1320, 30, 2652, 81, 1648, 30, 28870, 81, 1320, 284, 415, 646, 2652, 81, 1648, 463, 31626, 370, 2196, 47, 1815, 711, 291, 2443, 81, 1320, 463, 31626, 370, 1503, 1057, 35, 32, 38, 32, 36, 370, 2196, 47, 1815, 27, 284, 1201, 438, 81, 761, 463, 1251, 81, 3477, 33, 31626, 33, 31626, 32, 754, 683, 284, 1201, 2652, 81, 1648, 463, 31626, 370, 2196, 47, 1815, 27, 610, 330, 35, 32, 38, 32, 36, 25, 284, 28870, 81, 1320, 463, 31626, 370, 2196, 47, 1815, 27, 284, 1201, 2652, 81, 1648, 463, 31626, 370, 2196, 47, 1815, 27, 438, 1665, 284, 1201, 646, 438, 81, 761, 463, 1251, 81, 3477, 33, 31626, 33, 31626, 32, 754, 683, 203, 50, 12408, 32, 12940, 203, 589, 894, 1515, 26, 1357, 711, 284, 1205, 81, 5660, 463, 1251, 858, 683, 284, 1326, 32, 669, 3220, 2265, 26, 6381, 288, 7550, 32, 9865, 26, 1945, 30, 330, 3925, 429, 4918, 1541, 858, 2847, 284, 442, 330, 1251, 858, 25, 203, 589, 894, 81, 3789, 81, 10950, 81, 1070, 81, 1320, 81, 1260, 81, 761, 26, 10414, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 4, 7, 5, 5, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 0, 3, 3, 2, 2, 4, 5, 3, 4, 0, 2, 4, 3, 4, 1, 2, 2, 3, 5, 4, 6, 6, 2, 2, 4, 6, 5, 6, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 3, 3, 4, 7, 5, 5, 6, 6, 4, 4, 4, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 4, 5, 3, 3, 3, 3, 5, 5, 2, 2, 3, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 6, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 4, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 2, 2, 3, 4, 6, 6, 6, 8, 8, 3, 3, 7, 7, 7, 9, 9, 7, 8, 10, 10, 10, 10, 10, 10, 2, 2, 3, 6, 6, 6, 8, 8, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 3, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 7, 7, 2, 2, 3, 6, 6, 6, 8, 8, 4, 4, 2, 2, 3, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 4, 5, 3, 3, 5, 5, 3, 3, 5, 5, 3, 3, 5, 5, 2, 2, 3, 4, 6, 6, 6, 8, 8, 6, 7, 8, 6, 3, 3, 7, 7, 7, 9, 9, 7, 8, 10, 10, 10, 10, 10, 10, 7, 8, 9, 7, 2, 2, 3, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 3, 6, 6, 6, 8, 8, 6, 7, 8, 6, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 7, 7, 5, 6, 7, 5, 2, 2, 3, 6, 6, 6, 8, 8, 6, 7, 8, 6, 4, 4, 2, 2, 3, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 4, 3, 2, 2, 6, 6, 6, 8, 8, 8, 3, 3, 6, 7, 7, 7, 6, 9, 9, 9, 8, 9, 8, 9, 8, 8, 10, 10, 10, 10, 10, 10, 3, 3, 4, 6, 6, 6, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 1, 3, 3, 3, 3, 3, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 2, 3, 3, 3, 3, 0, 4, 4, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 3, 3, 2, 2, 0, 6, 6, 0, 1, 2, 6, 6, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 8, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 9, 9, 1, 1, 1, 1, 1, 1, 2, 1, 2, 9, 9, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 4, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 2, 2, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 10, 10, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 4, 4, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 4, 4, 5, 0, 0, 1, 1, 2, 1, 1, 4, 4, 6, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 1, 1, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 2, 1, 5, 2, 1, 4, 4, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 2, 1, 3, 2, 1, 4, 4, 5, 0, 0, 1, 1, 2, 1, 3, 2, 1, 1, 1, 4, 4, 6, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 12, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 2, 0, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2 ]
[ 1070, 26015, 1188, 319, 203, 465, 15798, 203, 465, 2322, 203, 465, 26015, 203, 465, 617, 32271, 81, 858, 203, 823, 551, 10995, 26, 8634, 711, 284, 617, 4151, 81, 280, 428, 440, 51, 392, 281, 81, 410, 30, 225, 35, 471, 400, 2884, 52, 392, 281, 81, 410, 30, 225, 36, 471, 400, 2884, 53, 392, 281, 81, 410, 30, 225, 37, 471, 400, 2884, 54, 392, 281, 81, 410, 30, 225, 38, 471, 400, 2884, 55, 392, 281, 81, 410, 30, 225, 39, 471, 400, 2884, 56, 392, 281, 81, 410, 30, 225, 40, 471, 400, 2884, 57, 392, 281, 81, 410, 30, 225, 41, 471, 400, 2884, 58, 392, 281, 81, 410, 30, 225, 42, 471, 400, 2884, 59, 392, 281, 81, 410, 30, 225, 43, 471, 400, 2884, 63, 392, 281, 81, 4021, 30, 225, 35, 471, 400, 2884, 64, 392, 281, 81, 4021, 30, 225, 36, 471, 400, 2884, 65, 392, 281, 81, 4021, 30, 225, 37, 471, 400, 2884, 66, 392, 281, 81, 4021, 30, 225, 38, 471, 400, 2884, 67, 392, 281, 81, 4021, 30, 225, 39, 471, 400, 2884, 68, 392, 281, 81, 4021, 30, 225, 40, 471, 400, 2884, 69, 392, 281, 81, 4021, 30, 225, 41, 2177, 203, 1298, 280, 390, 17950, 2176, 32271, 81, 858, 3667, 761, 25566, 15404, 81, 2400, 4151, 203, 1298, 32, 626, 2516, 280, 5268, 5451, 26, 16772, 471, 281, 81, 1594, 203, 823, 390, 81, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 28357, 26, 784, 711, 291, 436, 595, 328, 2155, 26, 39, 35, 36, 711, 324, 436, 636, 328, 313, 38605, 11809, 59, 563, 400, 323, 280, 551, 10995, 346, 400, 39506, 26, 84, 30, 636, 30, 595, 27, 400, 630, 32, 5299, 1162, 426, 30, 595, 30, 18623, 26, 84, 30, 636, 3662, 308, 426, 30, 595, 30, 3420, 26, 1170, 612, 26, 84, 471, 636, 2610, 284, 665, 894, 81, 27736, 26, 784, 711, 291, 436, 595, 328, 2155, 26, 36, 39, 40, 711, 324, 436, 636, 328, 313, 17741, 1952, 67, 10171, 563, 400, 323, 280, 551, 10995, 346, 400, 39506, 26, 84, 30, 636, 30, 595, 27, 400, 630, 32, 5299, 1162, 426, 30, 595, 30, 18623, 26, 84, 30, 636, 3662, 308, 426, 30, 595, 30, 3420, 26, 1170, 612, 26, 84, 471, 636, 2610, 203, 2058, 81, 410, 81, 2516, 280, 308, 85, 81, 2263, 30, 281, 81, 4021, 30, 281, 81, 410, 30, 281, 81, 3222, 30, 281, 81, 3222, 3222, 27, 203, 3856, 81, 410, 81, 2516, 280, 308, 85, 81, 37928, 30, 281, 81, 17470, 30, 281, 81, 1774, 30, 281, 81, 15473, 30, 281, 81, 15473, 3222, 27, 203, 410, 81, 2516, 280, 3622, 81, 410, 81, 2516, 474, 11280, 81, 410, 81, 2516, 203, 823, 7588, 1176, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 3222, 3222, 26, 784, 711, 291, 443, 1593, 26, 8634, 711, 324, 617, 4151, 81, 280, 428, 440, 83, 392, 281, 81, 3222, 3222, 30, 225, 35, 471, 715, 2884, 84, 392, 281, 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, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 6, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 5, 5, 8, 8, 6, 7, 7, 6, 6, 7, 6, 0, 3, 2, 2, 5, 5, 7, 7, 7, 6, 7, 7, 4, 4, 4, 4, 0, 4, 3, 4, 4, 2, 2, 5, 5, 6, 5, 3, 4, 4, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 8, 8, 7, 5, 5, 7, 7, 7, 9, 9, 9, 9, 7, 7, 10, 10, 12, 12, 8, 8, 11, 12, 11, 11, 11, 11, 11, 8, 8, 11, 12, 11, 13, 12, 12, 12, 12, 14, 15, 14, 14, 14, 11, 13, 12, 12, 12, 12, 14, 16, 16, 16, 17, 16, 14, 14, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 8, 8, 7, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 7, 7, 10, 10, 12, 12, 8, 8, 11, 12, 11, 11, 11, 11, 11, 8, 8, 11, 12, 11, 13, 12, 12, 12, 12, 14, 15, 14, 14, 14, 11, 13, 12, 12, 12, 12, 14, 16, 16, 16, 17, 16, 14, 14, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 6, 5, 5, 9, 9, 8, 8, 10, 12, 12, 10, 11, 11, 11, 10, 10, 11, 10, 9, 9, 12, 12, 10, 11 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 0, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 1, 1, 5, 1, 2, 2, 1, 2, 3, 3, 3, 3, 3, 5, 3, 2, 2, 1, 2, 5, 3, 3, 5, 5, 5, 5, 2, 2, 1, 2, 7, 3, 3, 7, 7, 5, 7, 2, 2, 1, 2, 9, 3, 3, 9, 9, 5, 9, 2, 2, 1, 2, 11, 3, 3, 11, 11, 5, 11, 2, 2, 1, 2, 13, 3, 3, 13, 13, 5, 13, 2, 2, 1, 2, 15, 3, 3, 15, 15, 5, 15, 2, 2, 1, 2, 17, 3, 3, 17, 17, 5, 17, 2, 2, 1, 2, 19, 3, 3, 19, 19, 5, 19, 2, 2, 1, 2, 21, 3, 3, 21, 21, 5, 21, 2, 2, 1, 2, 23, 3, 3, 23, 23, 5, 23, 2, 2, 1, 2, 25, 3, 3, 25, 25, 5, 25, 2, 2, 1, 2, 27, 3, 3, 27, 27, 5, 27, 2, 2, 1, 2, 29, 3, 3, 29, 29, 5, 29, 2, 2, 1, 2, 31, 3, 3, 31, 31, 5, 31, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 8, 8, 1, 1, 2, 0, 1, 2, 2, 8, 8, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 9, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 7, 7, 2, 2, 9, 9, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 12, 12, 1, 1, 2, 0, 1, 2, 2, 12, 12, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 3, 1, 1, 5, 1, 2, 2, 1, 2, 3, 3 ]
[ 465, 25630, 203, 465, 485, 1473, 203, 465, 5237, 203, 465, 27374, 203, 1070, 281, 652, 2338, 1188, 44524, 203, 1070, 677, 1434, 3728, 1188, 677, 1434, 3728, 203, 1070, 2662, 1074, 1188, 2662, 1074, 203, 81, 2930, 280, 25630, 32, 30815, 2183, 81, 33684, 81, 2930, 203, 81, 1589, 280, 25630, 32, 30815, 2183, 81, 33684, 81, 1589, 203, 81, 36831, 1016, 280, 25630, 32, 30815, 2183, 81, 33684, 81, 36831, 1016, 203, 81, 10431, 280, 25630, 32, 30815, 2183, 81, 33684, 81, 10431, 203, 81, 5952, 81, 3926, 280, 1605, 203, 81, 5961, 81, 3631, 280, 1605, 203, 81, 2135, 81, 1436, 280, 1665, 203, 589, 617, 470, 81, 3958, 26, 5952, 30, 4245, 711, 284, 354, 1501, 35, 280, 25630, 32, 72, 1705, 346, 284, 354, 1501, 36, 280, 7496, 32, 104, 1501, 284, 354, 1501, 36, 32, 2423, 81, 1366, 26, 104, 1501, 35, 27, 284, 3014, 35, 280, 25630, 32, 7751, 26, 34, 32, 34, 30, 225, 34, 32, 34, 30, 225, 34, 32, 34, 30, 225, 34, 32, 34, 27, 284, 3014, 35, 32, 470, 81, 2433, 440, 3478, 31, 1644, 392, 225, 40, 27, 284, 3014, 35, 32, 2245, 346, 284, 354, 1501, 36, 32, 2423, 81, 1366, 26, 2934, 35, 27, 284, 3014, 36, 280, 25630, 32, 7751, 26, 34, 32, 34, 30, 225, 34, 32, 34, 30, 225, 34, 32, 34, 30, 225, 34, 32, 34, 27, 284, 3014, 36, 32, 470, 81, 2433, 440, 3478, 31, 1644, 392, 225, 40, 27, 284, 3014, 36, 32, 2245, 346, 284, 4245, 280, 4245, 32, 38848, 346, 284, 11764, 265, 280, 25630, 32, 8931, 265, 81, 890, 81, 1793, 81, 8152, 21365, 26, 291, 617, 14715, 4364, 10027, 86, 5430, 14451, 904, 2069, 26, 3958, 32, 2998, 4446, 5156, 284, 11764, 265, 32, 2245, 346, 284, 19235, 280, 25630, 32, 2374, 23162, 1669, 346, 284, 19235, 32, 470, 81, 6038, 26, 22589, 32, 27571, 81, 3567, 1971, 30, 25630, 32, 27571, 81, 3567, 1971, 27, 284, 19235, 32, 2245, 346, 284, 16372, 280, 2662, 1074, 346, 284, 16372, 32, 1689, 26, 3958, 27, 284, 16372, 32, 2245, 346, 284, 1302, 30, 2384, 280, 16372, 32, 371, 81, 891, 81, 1357, 346, 284, 1861, 30, 1302, 280, 354, 1501, 36, 32, 371, 81, 891, 81, 1357, 346, 284, 19235, 32, 470, 81, 891, 81, 1357, 26, 1644, 30, 1847, 26, 2273, 30, 225, 38, 42, 34, 490, 284, 19235, 32, 669, 81, 1793, 81, 10832, 26, 10690, 27, 284, 11764, 265, 32, 669, 26, 10832, 27, 284, 3014, 36, 32, 669, 26, 8931, 265, 27, 284, 354, 1501, 35, 32, 2245, 346, 284, 354, 1501, 35, 32, 2423, 81, 1366, 26, 2934, 36, 27, 203, 589, 617, 3926, 81, 5952, 26, 4840, 30, 7496, 711, 284, 665, 21846, 2740, 1132, 711, 291, 415, 308, 1206, 617, 5952, 81, 3926, 711, 442, 291, 617, 5952, 81, 3926, 32, 3235, 26, 34, 27, 291, 415, 308, 1206, 617, 5952, 81, 3926, 711, 442, 291, 5204, 30, 7496, 280, 617, 5952, 81, 3926, 77, 34, 79, 291, 415, 308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 0, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 6, 2, 2, 5, 5, 4, 4, 5, 6, 6, 2, 2, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 5, 2, 2, 5, 4, 4, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 6, 5, 2, 2, 6, 5, 6, 5, 2, 2, 6, 6, 5, 6, 6, 6, 5, 6, 6, 5, 2, 2, 5, 4, 4, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 6, 5, 6, 6, 6, 5, 7, 7, 7, 7, 5, 6, 5, 2, 2, 6, 5, 6, 5, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 9, 11, 11, 11, 11, 11, 7, 7, 9, 12, 11, 12, 12, 11, 2, 2, 6, 5, 6, 5, 2, 2, 4, 4, 6, 7, 7, 7, 6, 2, 2, 5, 6, 6, 6, 5, 7, 6, 7, 7, 7, 7, 5, 5, 6, 7, 7, 7, 7, 5, 2, 2, 5, 6, 5, 2, 2, 4, 4, 6, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 6, 2, 2, 5, 6, 6, 6, 6, 6, 5, 6, 5, 5, 7, 8, 7, 7, 8, 8, 8, 7, 2, 2, 5, 6, 6, 6, 6, 6, 5, 6, 5, 2, 2, 6, 5, 6, 5, 6, 5, 2, 2, 6, 5, 6, 5, 6, 6, 5, 2, 2, 6, 6, 5, 6, 5, 2, 2, 6, 6, 5, 6, 6, 6, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 6, 4, 3, 3, 5, 7, 7, 8, 8, 8, 6, 5, 4, 4, 8, 8, 8, 7, 8, 7, 8, 7, 4, 4, 5, 7, 7, 8, 8, 8, 6, 5, 4, 4, 7, 7, 6, 6, 8, 8, 8, 7, 8, 7, 4, 4, 5 ]
[ 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 4, 4, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 1, 1, 1, 2, 1, 2, 2, 2, 14, 14, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 5, 5, 5, 1, 1, 7, 7, 7, 1, 4, 4, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 4, 4, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 15, 15, 1, 1, 1, 2, 1, 2, 2, 2, 15, 15, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 4 ]
[ 4601, 81, 8182, 280, 330, 605, 33, 5952, 31, 84, 2774, 59, 31, 8246, 33, 5952, 31, 84, 14569, 31, 26257, 32, 2760, 25, 203, 4601, 81, 8182, 81, 15147, 40, 280, 330, 605, 33, 5952, 31, 84, 2774, 59, 31, 8246, 33, 5952, 31, 84, 14569, 31, 2795, 40, 31, 6298, 85, 36, 31, 26257, 32, 2760, 25, 203, 4601, 81, 3197, 280, 330, 5952, 31, 84, 2774, 59, 31, 8246, 33, 5952, 31, 84, 14569, 31, 26257, 32, 2760, 25, 203, 15707, 81, 37602, 47, 470, 14141, 83, 1461, 278, 1461, 1382, 6890, 203, 465, 316, 203, 465, 2322, 203, 1070, 31074, 1188, 8241, 203, 1070, 18792, 32, 21332, 1188, 2155, 30, 11665, 203, 465, 6436, 619, 2065, 203, 465, 14785, 619, 5239, 203, 589, 47223, 26, 5914, 711, 284, 5881, 2891, 322, 7937, 432, 312, 15430, 6237, 40136, 32, 284, 8217, 47223, 463, 31596, 23126, 322, 38955, 32, 18366, 438, 322, 38955, 43841, 284, 2107, 31596, 370, 330, 86, 13709, 370, 330, 1382, 370, 330, 9513, 370, 39552, 330, 8127, 370, 330, 297, 370, 330, 1382, 370, 330, 9513, 785, 284, 5881, 284, 4618, 47, 5914, 32, 5729, 346, 284, 415, 4618, 10844, 46, 10411, 942, 48, 950, 291, 442, 428, 5914, 79, 284, 1056, 6020, 106, 32, 7201, 346, 436, 816, 328, 316, 32, 2998, 463, 4987, 73, 29, 6505, 370, 4618, 27, 415, 816, 32, 7201, 346, 461, 816, 32, 7201, 346, 646, 328, 37533, 81, 37602, 79, 284, 415, 646, 1056, 44, 291, 1056, 11414, 46, 10411, 942, 48, 785, 284, 415, 1056, 6448, 35, 22633, 2473, 25, 556, 1056, 6448, 35, 42811, 19067, 556, 1056, 6448, 35, 42811, 19, 950, 291, 1056, 47, 1267, 20129, 35, 79, 284, 442, 1056, 203, 589, 2454, 81, 26257, 26, 2795, 81, 314, 30, 22068, 81, 88, 47, 4601, 81, 8182, 711, 284, 22068, 30, 281, 5982, 36, 2875, 30, 5417, 36, 85, 5982, 280, 5518, 6663, 2149, 284, 22068, 81, 88, 280, 9591, 81, 8182, 81, 15147, 40, 415, 2899, 81, 314, 379, 40, 813, 22068, 81, 88, 284, 623, 2156, 26, 26257, 81, 88, 27, 619, 296, 44, 291, 436, 595, 30, 1628, 328, 10703, 26, 88, 711, 324, 281, 5982, 36, 2875, 77, 928, 32, 7201, 922, 2998, 463, 5769, 35, 5594, 35, 3212, 280, 595, 324, 22068, 32, 1689, 26, 30066, 26, 928, 32, 7201, 5156, 324, 5417, 36, 85, 5982, 77, 91, 79, 280, 1628, 32, 7201, 922, 2998, 463, 5769, 35, 5594, 35, 79, 284, 442, 22068, 30, 281, 5982, 36, 2875, 30, 5417, 36, 85, 5982, 203, 589, 3185, 81, 41510, 81, 462, 81, 1986, 26, 4446, 30, 85, 5982, 81, 2938, 711, 284, 5881, 291, 8661, 7496, 101, 3943, 328, 322, 323, 14569, 8253, 2179, 284, 5881, 284, 706, 19066, 284, 1619, 19066, 284, 1044, 47, 2521, 284, 540, 47, 2521, 284, 436, 1628, 328, 5430, 44, 291, 1628, 47, 928, 32, 7201, 346, 291, 415, 1628, 44, 324, 25097, 30, 1628, 280, 1628, 32, 2998, 463, 5769, 225, 35, 27, 324, 25097, 280, 629, 26, 33930, 27, 324, 415, 3228 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 4, 4, 7, 7, 7, 7, 7, 7, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 7, 6, 7, 6, 2, 2, 3, 4, 6, 6, 6, 6, 6, 3, 3, 5, 7, 6, 2, 2, 4, 8, 7, 8, 7, 5, 6, 6, 6, 8, 9, 8, 10, 10, 10, 10, 10, 8, 8, 5, 6, 9, 10, 9, 7, 7, 10, 11, 10, 8, 8, 8, 9, 9, 5, 2, 2, 3, 4, 3, 3, 3, 6, 9, 9, 9, 9, 9, 2, 2, 3, 7, 9, 7, 8, 8, 5, 5, 7, 9, 7, 8, 4, 4, 6, 8, 6, 7, 7, 3, 3, 6, 8, 7, 10, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 4, 4, 3, 4, 4, 4, 2, 1, 1, 5, 5, 6, 6, 6, 5, 5, 6, 6, 6, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 6, 5, 5, 7, 7, 6, 7, 5, 5, 6, 6, 2, 2, 3, 8, 9, 9, 9, 8, 6, 6, 3, 3, 3, 5, 6, 6, 5, 5, 7, 8, 7, 5, 5, 10, 10, 10, 9, 15, 14, 15, 14, 13, 12, 14, 13, 12, 11, 10, 8, 8, 6, 6, 9, 10, 9, 11, 11, 14, 13, 14, 13, 6, 6, 10, 10, 10, 9, 10, 9, 8, 8, 13, 14, 13, 12, 11, 13, 12, 11, 10, 9, 2, 2, 3, 4, 4, 5, 5, 5, 4, 4, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 4, 2, 2, 4, 2, 2, 4, 5, 2, 2, 4, 5, 2, 2, 3, 3, 3, 3, 3, 3, 6, 9, 8, 9, 8, 4, 4, 5, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 12, 10, 11, 10, 6, 6, 8, 8, 10, 11, 10, 6, 6, 7 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 4, 4, 0, 5, 5, 0, 6, 6, 6, 6, 0, 7, 7, 1, 2, 7, 7, 7, 7, 0, 8, 8, 1, 1, 0, 9, 9, 1, 1, 0, 10, 10, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 4, 4, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 1, 4, 4, 4, 0, 1, 1, 1, 1, 2, 4, 4, 5, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 5, 5, 0, 0, 2, 1, 2, 4, 4, 6, 0, 11, 11, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 11, 11, 0, 0, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 3, 1, 2, 2, 0, 0, 5, 5, 0, 2, 1, 0, 1, 0, 0, 2, 1, 5, 5, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 3, 1, 2, 2, 4, 4, 3, 1, 1, 2, 2, 2, 1, 1, 4, 4, 4, 0, 12, 12, 1, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 3, 3, 2, 12, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 4, 4, 0, 4, 4, 0, 2, 4, 4, 0, 2, 4, 4, 5, 5, 5, 5, 5, 5, 0, 0, 0, 2, 1, 5, 5, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 3, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 2 ]
[ 465, 5237, 203, 465, 2322, 203, 12146, 81, 3197, 280, 2322, 32, 983, 32, 35490, 26, 500, 32, 983, 32, 2524, 26, 500, 32, 983, 32, 35490, 26, 500, 32, 983, 32, 7781, 4064, 761, 505, 3662, 31001, 370, 31001, 2847, 203, 3731, 32, 983, 32, 3215, 26, 34, 30, 31724, 81, 3197, 27, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 3550, 32, 7799, 26, 284, 26235, 69, 1279, 291, 313, 1536, 563, 301, 324, 313, 28137, 563, 313, 11025, 32, 1199, 32, 11514, 32, 14107, 37, 392, 324, 313, 2474, 563, 10685, 5566, 1924, 291, 320, 284, 801, 284, 21835, 45421, 81, 47406, 6020, 291, 313, 11025, 32, 12023, 32, 2393, 392, 291, 313, 11025, 32, 12023, 32, 1286, 2516, 392, 291, 313, 11025, 32, 12023, 32, 18780, 392, 291, 313, 11025, 32, 12023, 32, 12095, 392, 291, 313, 11025, 32, 12023, 32, 6286, 392, 291, 313, 16676, 81, 4280, 392, 284, 2505, 203, 27, 203, 465, 8527, 203, 11025, 32, 5522, 346, 203, 465, 17580, 81, 4280, 203, 9081, 280, 428, 284, 330, 26275, 32, 407, 32, 4846, 431, 542, 370, 284, 330, 26275, 32, 407, 32, 1409, 28998, 370, 284, 330, 26275, 32, 407, 32, 1071, 687, 370, 203, 79, 203, 8881, 81, 983, 280, 2107, 81, 8881, 785, 203, 1855, 81, 12420, 280, 5608, 9632, 25, 203, 2590, 81, 1427, 280, 330, 1055, 25, 203, 2250, 280, 1044, 25, 872, 14338, 31, 16676, 25, 203, 11794, 280, 1044, 25, 36, 34, 35, 38, 30, 45400, 16376, 40986, 4211, 5655, 103, 2144, 4035, 348, 108, 25, 203, 1648, 280, 17580, 81, 4280, 3667, 1648, 505, 203, 3779, 280, 17580, 81, 4280, 3667, 1648, 505, 203, 10444, 81, 15719, 280, 1605, 203, 978, 32725, 81, 1621, 280, 330, 26275, 25, 203, 465, 309, 27392, 81, 100, 671, 81, 4661, 203, 916, 81, 4661, 280, 313, 26275, 81, 100, 671, 81, 4661, 20, 203, 916, 81, 4661, 81, 983, 280, 428, 26275, 81, 100, 671, 81, 4661, 32, 371, 81, 916, 81, 4661, 81, 983, 7662, 203, 916, 81, 1574, 81, 983, 280, 2107, 81, 1574, 785, 203, 916, 4756, 81, 15705, 280, 330, 55, 13787, 107, 12567, 1427, 25, 203, 24189, 81, 7594, 280, 301, 203, 111, 203, 24189, 81, 17274, 280, 428, 334, 2726, 1055, 370, 330, 872, 14338, 31, 16676, 32, 8581, 370, 1044, 25, 55, 13787, 107, 25547, 12217, 370, 664, 17580, 81, 4280, 3667, 2116, 7642, 330, 12505, 1425, 203, 79, 203, 1588, 81, 5646, 280, 428, 284, 2726, 1055, 370, 330, 55, 13787, 107, 25547, 370, 1044, 25, 55, 13787, 107, 25547, 12217, 370, 275, 428, 16676, 81, 4280, 3667, 2116, 505, 614, 225, 35, 27, 203, 79, 203, 8581, 1338, 81, 17274, 280, 428, 334, 2726, 1055, 370, 330, 872, 14338, 31, 16676, 370, 1044, 25, 55, 13787, 107, 25547, 12217, 370, 664, 17580, 81, 4280, 3667, 2116, 7642, 330, 872, 14338, 31, 16676, 370, 17580, 81, 4280, 3667, 2310, 7642, 664, 330, 6417, 36786, 1425, 203, 79, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 0, 3, 3, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 10, 9, 10, 8, 9, 8, 12, 11, 12, 10, 11, 10, 11, 11, 10, 6, 8, 6, 8, 0, 5, 4, 5, 3, 4, 3, 4, 3, 3, 4, 4, 3, 0, 1, 1, 2, 3, 1, 1, 0, 4, 3, 4, 3, 3, 3, 5, 4, 5, 5, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 7, 7, 5, 5, 3, 3, 5, 5, 5, 4, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 5, 3, 3, 0, 1, 1, 0, 4, 3, 4, 3, 0, 1, 1, 3, 3, 0, 3, 2, 2, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 4, 3, 4, 4, 0, 3, 2, 2, 4, 4, 3, 4, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 2, 2, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 0, 3, 3, 3, 3, 3, 2, 2, 5, 5, 5, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 4, 6, 6, 3, 3, 0, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 7, 7, 7, 6, 7, 7, 5, 4, 5, 4, 3, 3, 0, 3, 3, 3, 3, 2, 2, 3, 3, 6, 6, 4, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 5, 6, 6, 4, 6, 6, 6, 6, 6, 4, 6, 6, 5, 6, 6, 4, 4, 6, 6, 6, 3, 3, 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, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 1, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 6, 6, 0, 0, 0, 2, 1, 0, 8, 8, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 19, 19, 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, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 7, 1, 9, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 11, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 465, 617, 4817, 203, 1070, 617, 4817, 1188, 319, 203, 1270, 44, 284, 1188, 617, 6482, 203, 7343, 29986, 44, 284, 3097, 203, 1824, 44, 284, 665, 17778, 26, 9184, 30, 1202, 761, 47, 2521, 30, 6445, 761, 47, 2521, 711, 291, 1188, 17778, 619, 617, 4543, 6482, 291, 11685, 32, 8447, 440, 4817, 32, 6482, 346, 438, 12687, 32, 225, 4417, 17778, 32, 4071, 81, 4817, 346, 4174, 4414, 2855, 18123, 367, 5711, 30, 4138, 2649, 47, 36, 27, 291, 442, 617, 4543, 6482, 32, 6482, 4071, 81, 6656, 26, 9184, 30, 1202, 761, 30, 6445, 761, 27, 284, 645, 617, 6482, 1188, 18323, 43189, 619, 17778, 731, 284, 645, 617, 6482, 1188, 766, 276, 559, 3349, 81, 669, 30, 766, 276, 559, 3349, 81, 4192, 86, 30, 766, 276, 559, 3349, 81, 1517, 30, 766, 276, 14156, 81, 2930, 81, 13977, 81, 10934, 30, 766, 276, 14156, 81, 2930, 81, 73, 4516, 81, 4409, 30, 766, 276, 14156, 81, 2930, 81, 73, 4516, 81, 3214, 30, 766, 276, 14156, 81, 2930, 81, 73, 4516, 81, 74, 39, 34, 43, 81, 38652, 2418, 30, 766, 276, 14156, 81, 2930, 81, 35695, 30, 766, 276, 14156, 81, 2930, 81, 10079, 30, 766, 276, 14156, 81, 2930, 81, 73, 4516, 81, 16134, 30, 766, 276, 14156, 81, 2930, 81, 9471, 30, 766, 276, 14156, 81, 2930, 81, 8606, 81, 2930, 81, 3521, 203, 465, 2322, 30, 5237, 30, 11685, 203, 1270, 44, 284, 645, 281, 652, 2338, 1188, 44524, 203, 7343, 29986, 44, 284, 645, 44524, 1188, 44524, 203, 1270, 44, 284, 645, 19493, 1188, 516, 13727, 56, 203, 7343, 29986, 44, 284, 516, 13727, 56, 280, 225, 43, 203, 505, 464, 505, 280, 3037, 371, 19305, 6161, 1446, 203, 505, 464, 9818, 8233, 26, 500, 1114, 371, 81, 3783, 81, 668, 2176, 4817, 490, 203, 81, 4543, 4817, 280, 6234, 203, 325, 5237, 32, 5134, 32, 5729, 922, 15990, 440, 4463, 10280, 284, 1048, 3999, 280, 2149, 284, 1048, 3999, 77, 35, 34, 34, 34, 38, 79, 280, 313, 1318, 4212, 1597, 42050, 3107, 284, 1048, 3999, 77, 35, 34, 34, 34, 43, 79, 280, 313, 51, 6658, 803, 2887, 1597, 5403, 3107, 284, 1048, 3999, 77, 35, 34, 34, 35, 37, 79, 280, 313, 7040, 25725, 3107, 284, 1048, 3999, 77, 35, 34, 34, 35, 38, 79, 280, 313, 51, 18830, 12330, 544, 322, 3984, 10397, 20, 3701, 1048, 3999, 77, 35, 34, 34, 36, 36, 79, 280, 313, 1045, 5535, 4212, 1597, 35362, 3107, 284, 1048, 3999, 77, 35, 34, 34, 37, 39, 79, 280, 313, 1318, 6234, 4212, 2268, 2163, 20, 284, 1048, 3999, 77, 35, 34, 34, 37, 40, 79, 280, 313, 51, 21154, 4212, 438, 3425, 328, 6538, 3107, 284, 1048, 3999, 77, 35, 34, 34, 38, 42, 79, 280, 313, 1318, 3984, 2965, 438, 328, 793, 3107, 284, 1048, 3999, 77, 35, 34, 34, 39, 38, 79, 280, 313, 1318, 3387, 1401, 2583, 5657, 3107, 284, 1048, 3999, 77, 35, 34, 34, 39, 42, 79, 280, 313, 1318, 3984, 1401, 2583, 26061, 2835, 3107, 284, 1048 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 3, 5, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 4, 5, 6, 5, 5, 7, 6, 7, 5, 5, 7, 6, 7, 5, 4, 4, 6, 7, 7, 8, 8, 5, 5, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 9, 8, 8, 10, 9, 10, 8, 5, 5, 6, 9, 9, 8, 9, 9, 9, 9, 8, 9, 8, 8, 9, 8, 8, 9, 8, 3, 3, 4, 6, 4, 4, 7, 5, 5, 6, 3, 3, 4, 6, 4, 4, 5, 4, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 6, 4, 4, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 5, 5, 3, 3, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 1, 1, 1, 1, 3, 3, 3, 5, 5, 1, 2, 2, 2, 2, 2, 6, 6, 5, 5, 6, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 0, 4, 4, 4, 4, 3, 6, 5, 6, 6, 6, 6, 6, 5, 6, 5, 0, 3, 3, 3, 2, 2, 0, 1, 1, 6, 7, 5, 6, 5, 4, 3, 5, 5, 1, 1, 5, 4, 4, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 2, 2, 6, 5, 6, 6, 6, 6, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 2, 2 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 3, 3, 3, 3, 3, 2, 4, 4, 4, 4, 0, 2, 1, 2, 2, 0, 3, 2, 2, 2, 0, 5, 2, 2, 0, 0, 0, 1, 1, 2, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 0, 5, 2, 1, 4, 4, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 5, 1, 2, 2, 1, 0, 1, 1, 0, 3, 3, 2, 2, 2, 2, 0, 2, 2, 3, 2, 0, 0, 0, 2, 2, 6, 2, 0, 0, 0, 0, 2, 2, 9, 2, 0, 0, 0, 2, 2, 12, 2, 0, 0, 0, 0, 0, 0, 2, 2, 15, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 18, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 21, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 24, 2, 0, 0, 0, 0, 2, 2, 27, 2, 0, 0, 0, 0, 2, 2, 30, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 33, 2, 0, 0, 0, 0, 2, 2, 36, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 3, 3, 3, 3, 3, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 3, 3, 3, 3, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 2, 0, 2, 1, 2, 1, 1, 2, 9, 9, 0, 0, 0, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3 ]
[ 1070, 1224, 4478, 342, 905, 32, 3033, 32, 54, 14665, 32, 2852, 1188, 475, 14665, 81, 11005, 1909, 30, 475, 14665, 81, 19698, 1662, 265, 203, 1070, 17101, 267, 32, 1722, 1188, 2577, 203, 465, 1671, 203, 1070, 17101, 267, 32, 59, 1970, 1188, 17865, 13117, 2416, 30, 23666, 14070, 203, 823, 19152, 2027, 3357, 435, 9430, 26, 2292, 711, 284, 665, 17865, 26, 784, 711, 291, 2218, 630, 32, 605, 10593, 440, 2435, 10280, 324, 3124, 280, 630, 32, 12084, 440, 2435, 657, 324, 630, 32, 2714, 26, 2076, 2360, 7295, 657, 324, 415, 6937, 26, 2076, 30, 308, 16080, 13117, 2416, 30, 22595, 14070, 8531, 400, 442, 2933, 291, 442, 3177, 284, 665, 2575, 26, 784, 711, 291, 3112, 280, 3330, 291, 2354, 634, 280, 1665, 291, 2218, 646, 630, 32, 16080, 2262, 324, 2218, 630, 32, 605, 10593, 440, 40197, 10280, 400, 706, 280, 630, 32, 12084, 440, 40197, 657, 400, 3432, 280, 16167, 26, 605, 77, 35, 1130, 400, 1477, 81, 18354, 280, 308, 2263, 549, 225, 34, 106, 38, 34, 27, 863, 225, 34, 400, 3432, 280, 16167, 26, 605, 77, 37, 1130, 400, 15933, 285, 261, 280, 308, 2263, 549, 225, 34, 106, 37, 34, 27, 3776, 225, 38, 400, 712, 998, 225, 280, 3432, 549, 225, 34, 106, 34, 88, 400, 415, 308, 1978, 634, 610, 1665, 461, 1477, 81, 18354, 27, 556, 2354, 634, 610, 712, 998, 44, 528, 415, 15933, 285, 610, 225, 35, 44, 715, 5797, 81, 1366, 280, 225, 38, 528, 4348, 15933, 285, 610, 225, 37, 44, 715, 5797, 81, 1366, 280, 225, 38, 29, 35, 29, 655, 26, 605, 77, 38, 1130, 262, 528, 813, 44, 16501, 4036, 11057, 415, 1477, 81, 18354, 44, 715, 7323, 1366, 280, 5797, 81, 1366, 715, 5797, 81, 1366, 280, 7323, 1366, 474, 16167, 26, 605, 77, 5586, 1366, 1130, 474, 225, 35, 715, 3112, 280, 3112, 474, 706, 77, 5586, 1366, 29, 35, 44, 6263, 81, 1366, 79, 715, 415, 2069, 26, 2668, 27, 461, 2354, 634, 863, 1665, 44, 264, 1014, 630, 32, 2714, 26, 3112, 30, 313, 541, 1501, 20, 829, 715, 3112, 280, 3330, 528, 3112, 280, 3112, 474, 706, 77, 6263, 81, 1366, 10056, 528, 2354, 634, 280, 308, 666, 998, 474, 225, 35, 27, 549, 225, 34, 2072, 400, 813, 44, 528, 2354, 634, 280, 1665, 528, 3112, 47, 3330, 324, 630, 32, 12089, 346, 324, 6761, 225, 35, 203, 823, 516, 780, 6829, 2825, 26, 2292, 711, 284, 701, 12936, 280, 301, 313, 40197, 20, 499, 313, 11678, 19318, 392, 400, 313, 2435, 20, 499, 313, 3908, 6131, 54, 392, 1090, 320, 284, 4306, 12936, 280, 301, 313, 541, 1501, 20, 499, 313, 24217, 42457, 461, 39099, 516, 780, 5216, 392, 353, 313, 7295, 20, 499, 313, 3908, 6131, 54, 392, 3083, 320, 284, 665, 17865, 26, 784, 711, 291, 2218, 630, 32, 605, 10593, 440, 2435, 10280, 324, 3124, 280, 630, 32, 12084, 440, 2435, 657, 324, 630, 32, 2714, 26, 2076, 2360, 7295, 657, 324, 415, 6937, 26, 2076, 30, 308, 16080, 13117, 2416 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 3, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 9, 9, 5, 5, 8, 8, 10, 11, 10, 12, 12, 6, 6, 9, 10, 9, 10, 9, 11, 11, 6, 6, 7, 9, 10, 9, 9, 11, 11, 11, 10, 10, 11, 10, 7, 7, 9, 4, 4, 5, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 4, 4, 7, 6, 6, 4, 4, 5, 6, 8, 9, 8, 5, 5, 7, 9, 10, 10, 9, 11, 11, 7, 7, 10, 10, 12, 13, 12, 14, 14, 8, 8, 10, 10, 12, 14, 13, 14, 13, 8, 8, 11, 11, 10, 10, 14, 13, 13, 14, 14, 14, 14, 12, 11, 11, 12, 8, 8, 10, 10, 12, 14, 13, 14, 13, 8, 8, 11, 10, 10, 10, 14, 13, 13, 14, 14, 14, 14, 12, 11, 11, 12, 8, 8, 11, 10, 10, 10, 11, 11, 12, 12, 12, 12, 8, 8, 9, 14, 14, 13, 13, 12, 12, 13, 13, 11, 10, 10, 12, 11, 11, 12, 9, 9, 9, 11, 13, 12, 12, 13, 11, 11, 11, 15, 15, 14, 14, 15, 11, 11, 12, 14, 13, 13, 14, 12, 12, 12, 16, 16, 15, 15, 18, 17, 18, 16, 18, 18, 20, 19, 20, 19, 11, 11, 11, 12, 12, 12, 10, 10, 11, 12, 12, 11, 11, 11, 15, 14, 14, 15, 15, 12, 12, 15, 15, 14, 14, 17, 16, 16, 18, 20, 19, 20, 20, 19, 15, 15, 16, 12, 12, 14, 14, 15, 15, 16, 19, 19, 18, 19, 17, 18, 18, 18, 16, 12, 12, 13, 16, 17, 16, 14, 14, 16, 15, 15, 13, 13, 13, 13, 17, 18, 17, 17, 17, 17, 19, 19, 19, 17, 12, 12, 14, 14, 10, 10, 12, 12, 13, 13, 14, 16, 16, 16, 15, 10, 10, 13, 12, 12, 16, 16, 15, 15, 16, 14, 13, 13, 14, 14, 9, 9, 10, 10, 10, 14, 13, 13, 11, 11, 13, 13, 6, 6, 9, 10, 9, 6, 6, 8, 9, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 5, 8, 8, 6, 6, 8, 8, 8, 5, 5, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 2, 2, 5, 4, 4, 5, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 9, 9, 5, 5, 8, 8, 10, 11, 10, 12, 12, 6, 6, 9, 10, 9, 10, 9, 11, 11, 6, 6, 7, 9, 10, 9, 9, 11, 11, 11 ]
[ 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 3, 3, 0, 1, 2, 2, 3, 3, 0, 0, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 2, 4, 4, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 2, 2, 0, 4, 4, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 4, 4, 0, 0, 0, 4, 4, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 3, 3, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 3, 3, 0, 0, 1, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 6, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 6, 6, 6, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 0, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 5, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 0, 2, 2, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 0, 3, 3, 0, 0, 2, 2, 2, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 6, 6, 4, 4, 4, 0, 0, 0, 2, 2, 0, 0, 3, 3, 0, 2, 1, 3, 3, 0, 1, 0, 5, 5, 1, 1, 1, 2, 1, 2, 5, 5, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 3, 3, 0, 2, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 3619, 10201, 1188, 17195, 1222, 30, 17195, 5191, 30, 4428, 1222, 30, 5570, 30, 35643, 1222, 203, 1070, 3619, 10201, 32, 2602, 32, 2516, 1188, 319, 203, 1070, 7138, 1188, 2340, 30, 7138, 30, 30784, 203, 465, 5237, 30, 316, 30, 2322, 203, 270, 280, 7138, 32, 2174, 346, 203, 2957, 280, 17195, 5191, 922, 470, 37518, 463, 10826, 81, 56, 81, 4246, 81, 53, 6902, 81, 9871, 1814, 470, 8798, 26, 3731, 32, 6118, 77, 36, 1130, 203, 545, 280, 17195, 1222, 26, 2957, 280, 3570, 27, 203, 545, 32, 470, 20104, 463, 17235, 683, 203, 325, 2069, 26, 3731, 32, 6118, 27, 848, 225, 39, 44, 284, 415, 5237, 32, 6118, 77, 39, 79, 610, 313, 22360, 563, 291, 5552, 1222, 280, 35643, 1222, 26, 545, 27, 203, 1824, 44, 284, 5552, 1222, 280, 4428, 1222, 26, 545, 27, 203, 21137, 280, 5237, 32, 6118, 77, 37, 79, 203, 32860, 280, 5237, 32, 6118, 77, 38, 79, 203, 19694, 77, 35, 79, 203, 21, 48022, 24804, 203, 72, 81, 6271, 280, 2971, 94, 81, 6625, 24804, 203, 72, 81, 6271, 81, 7118, 280, 308, 770, 38, 5727, 629, 26, 48022, 81, 770, 77, 38, 44, 40, 5727, 629, 26, 48022, 81, 770, 77, 40, 44, 42, 5259, 474, 30784, 3736, 35, 3427, 20834, 4912, 75, 23, 95, 23, 86, 657, 203, 21, 10148, 12188, 24804, 203, 72, 81, 6271, 81, 56, 5108, 280, 2340, 26, 410, 26, 48022, 81, 1804, 26, 48022, 81, 770, 77, 38, 44, 40, 5727, 225, 35, 547, 20834, 4912, 75, 23, 95, 23, 86, 657, 225, 203, 21, 4508, 10148, 45619, 24804, 203, 72, 81, 6271, 81, 62, 5108, 280, 308, 770, 26, 410, 26, 48022, 81, 770, 77, 34, 44, 38, 77, 38, 44, 40, 5727, 225, 35, 27, 474, 30784, 3736, 35, 3427, 20834, 4912, 75, 23, 95, 23, 86, 657, 203, 21, 35, 34, 7825, 24804, 203, 72, 81, 6271, 35, 34, 280, 308, 770, 26, 410, 26, 48022, 81, 770, 77, 34, 44, 38, 5727, 629, 26, 48022, 81, 410, 26, 48022, 81, 770, 77, 40, 44, 42, 5259, 547, 20834, 4912, 75, 9299, 95, 9299, 86, 657, 203, 72, 81, 20801, 280, 225, 34, 203, 21, 18415, 7833, 4839, 203, 2094, 280, 2322, 32, 2946, 440, 21137, 27009, 429, 3925, 429, 100, 517, 5115, 32860, 22011, 65, 37354, 81, 64, 11734, 42792, 657, 203, 21, 5509, 47568, 4839, 4314, 21632, 6625, 4839, 6156, 203, 2094, 280, 2322, 32, 2946, 440, 21137, 27009, 429, 2219, 429, 88, 517, 5115, 32860, 22011, 65, 37354, 81, 56, 364, 517, 5115, 32860, 22011, 65, 37354, 81, 56, 81, 4246, 81, 53, 6902, 81, 9871, 31267, 72, 81, 6271, 37209, 42792, 657, 203, 56, 81, 53, 2231, 81, 6614, 4602, 3479, 1589, 26123, 280, 5552, 1222, 32, 850, 32, 42792, 26, 21137, 34512, 56, 81, 53, 2231, 81, 6614, 4602, 3479, 1589, 26123, 1109, 683, 203, 56, 81, 53, 2231, 81, 6614, 4602, 3479, 1589, 26123, 32, 3317, 2410, 1599, 440, 56, 81, 53, 2231, 81, 6614, 4602, 3479, 1589, 26123, 657, 203, 56 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 3, 2, 2, 4, 5, 4, 0, 3, 2, 2, 8, 8, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 4, 7, 6, 7, 5, 6, 5, 0, 3, 2, 2, 4, 4, 6, 5, 5, 4, 0, 4, 3, 4, 4, 3, 5, 5, 0, 1, 1, 4, 6, 5, 6, 4, 2, 2, 3, 1, 1, 1, 3, 6, 7, 5, 6, 5, 4, 4, 6, 6, 3, 3, 7, 6, 6, 8, 8, 9, 8, 1, 2, 2, 2, 2, 6, 5, 5, 7, 7, 8, 7, 0, 3, 2, 2, 4, 5, 3, 4, 3, 0, 3, 2, 2, 4, 5, 3, 4, 3, 0, 3, 2, 3, 2, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 2, 5, 5, 4, 3, 5, 5, 7, 7, 7, 7, 8, 7, 5, 3, 6, 6, 8, 8, 8, 8, 8, 4, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 5, 5, 5, 7, 7, 7, 7, 7, 9, 10, 8, 7, 5, 5, 6, 5, 4, 4, 4, 4, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 6, 6, 6, 6, 8, 10, 9, 11, 11, 7, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 3, 2, 3, 3, 3, 3, 3, 2, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 5, 5, 7, 7, 9, 9, 9, 9, 9, 10, 10, 7, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 10, 9, 7, 5, 3, 4, 4, 4, 4, 4, 5, 5, 5, 3, 1, 1, 0, 65, 66, 66, 66, 66, 66, 67, 66, 66, 67, 65, 66, 66, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 67, 68, 68, 68, 68, 68, 68, 68, 68, 65, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 63, 65, 64, 65, 65, 63, 64, 64, 64, 64, 71, 71, 71, 71, 71, 71, 71, 71, 70, 70, 70, 68, 70, 70, 70, 70, 70, 70, 70, 68, 66, 68, 68, 68, 68, 68, 68, 66, 66, 66, 66, 66, 66, 66, 66, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 62, 62, 63, 63, 63, 63, 62, 61, 61, 62, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 60, 60, 60 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 8, 8, 1, 0, 1, 2, 1, 1, 1, 2, 8, 8, 8, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 8, 4, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 12, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 1, 3, 3, 3, 3, 3, 3, 1, 0, 1, 1, 1, 1, 1, 2, 1, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 0, 0, 18, 18, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 25, 25, 25, 25, 25, 25, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 29, 29, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ 1070, 48477, 905, 32, 4820, 32, 342, 84, 1188, 516, 8902, 203, 1070, 48477, 905, 32, 4820, 32, 342, 84, 81, 1163, 1188, 516, 8902, 1063, 30, 516, 8902, 14631, 1063, 203, 1070, 3984, 81, 5522, 1188, 622, 81, 4573, 81, 1163, 203, 589, 2575, 2262, 284, 3984, 81, 1163, 30, 3079, 280, 622, 81, 4573, 81, 1163, 346, 284, 709, 84, 81, 21299, 81, 1163, 280, 428, 291, 516, 8902, 14631, 1063, 26, 324, 1980, 81, 625, 1057, 42, 34, 370, 324, 2454, 30626, 81, 625, 1057, 42, 34, 370, 324, 2454, 30626, 81, 5721, 1057, 5068, 370, 324, 1980, 81, 5721, 1057, 5068, 370, 324, 31847, 81, 725, 81, 9534, 1057, 60, 9564, 25, 291, 2588, 291, 516, 8902, 14631, 1063, 26, 324, 1980, 81, 625, 1057, 42, 34, 42, 34, 370, 324, 2454, 30626, 81, 625, 1057, 42, 34, 42, 34, 370, 324, 2454, 30626, 81, 5721, 1057, 5068, 370, 324, 1980, 81, 5721, 1057, 5068, 370, 324, 31847, 81, 725, 81, 9534, 1057, 9564, 9052, 25, 291, 829, 284, 1481, 284, 709, 84, 81, 1163, 35, 280, 516, 8902, 1063, 26, 291, 709, 84, 81, 21299, 81, 1163, 47, 342, 84, 81, 21299, 81, 1163, 30, 291, 709, 84, 81, 9855, 81, 1553, 1057, 5068, 44, 42, 34, 33, 1055, 32, 916, 370, 291, 709, 84, 81, 751, 81, 6452, 1057, 1772, 31, 101, 37, 31, 6452, 370, 291, 562, 81, 2243, 47, 2700, 30, 291, 17778, 81, 15324, 81, 314, 47, 2521, 30, 291, 44538, 81, 10402, 47, 35, 34, 30, 291, 707, 36436, 81, 10402, 47, 36, 30, 291, 7898, 47, 37, 34, 34, 30, 291, 5868, 47, 37, 34, 284, 829, 284, 709, 84, 81, 1163, 36, 280, 516, 8902, 1063, 26, 291, 709, 84, 81, 21299, 81, 1163, 47, 342, 84, 81, 21299, 81, 1163, 30, 291, 709, 84, 81, 9855, 81, 1553, 1057, 5068, 44, 42, 34, 33, 1055, 32, 916, 370, 291, 709, 84, 81, 751, 81, 6452, 1057, 1772, 31, 101, 37, 31, 6452, 370, 291, 562, 81, 2243, 47, 1815, 30, 291, 17778, 81, 15324, 81, 314, 1057, 2842, 44, 3955, 44, 42647, 403, 24454, 370, 291, 44538, 81, 10402, 47, 35, 34, 30, 291, 707, 36436, 81, 10402, 47, 36, 30, 291, 7898, 47, 37, 34, 34, 30, 291, 5868, 47, 37, 34, 284, 829, 284, 709, 84, 81, 1163, 37, 280, 516, 8902, 1063, 26, 291, 709, 84, 81, 21299, 81, 1163, 47, 342, 84, 81, 21299, 81, 1163, 30, 291, 709, 84, 81, 9855, 81, 1553, 1057, 5068, 44, 42, 34, 33, 1055, 32, 916, 370, 291, 709, 84, 81, 751, 81, 6452, 1057, 1772, 31, 101, 37, 31, 6452, 370, 291, 562, 81, 2243, 47, 1815, 30, 291, 17778, 81, 15324, 81, 314, 47, 2521, 30, 291, 44538, 81, 10402, 47, 35, 34, 30, 291, 707, 36436, 81, 10402, 47, 36, 30, 291, 7898, 47, 37, 34, 34, 30, 291, 5868, 47, 37, 34, 284, 829, 284, 516, 8902, 26, 1311, 1057, 3758, 3010, 35, 370, 291, 3984, 81, 1163, 47, 4573, 81, 1163, 30, 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, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 1, 1, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 5, 7, 7, 7, 7, 7, 7, 9, 9, 8, 10, 10, 10, 7, 7, 9, 9, 9, 8, 10, 10, 10, 7, 7, 9, 9, 9, 8, 10, 10, 7, 7, 9, 9, 8, 10, 10, 7, 7, 9, 9, 9, 9, 8, 10, 10, 10, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 9, 9, 8, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 8, 10, 10, 10, 10, 10, 7, 7, 9, 9, 9, 8, 10, 10, 7, 7, 9, 9, 8, 10, 10, 7, 7, 9, 9, 9, 9, 8, 10, 10, 10, 7, 7, 5, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 7, 8, 6, 6, 6, 8, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 7, 8, 8, 6, 6, 6, 8, 8, 8, 7, 8, 6, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 8, 8, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 7, 8, 6, 6, 6, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 7, 8, 8, 6, 6, 6, 8, 8, 8, 7, 8, 6, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 8, 8, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 6, 6, 8, 8, 7, 8, 6, 6, 6, 8, 8, 8, 8, 7, 8, 6, 6, 6, 8, 8, 7, 8, 8, 6, 6, 6, 8, 8, 8, 7, 8, 6, 6, 6, 7, 8, 8, 8, 6, 6, 6, 7, 8, 8, 6, 6, 2, 2, 5, 5, 7, 6, 8, 8, 8, 8, 5, 5, 7, 7, 6, 7, 7, 7, 5, 5 ]
[ 0, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 4, 4, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 1, 1, 2, 1, 1, 0, 0, 0, 5, 1, 2, 1, 1, 0, 0, 7, 1, 2, 1, 1, 0, 0, 0, 0, 9, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 3, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 5, 1, 2, 1, 1, 0, 0, 7, 1, 2, 1, 1, 0, 0, 0, 0, 9, 1, 1, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 2, 1, 1, 1, 0, 0, 0, 0, 9, 2, 1, 1, 1, 0, 0, 11, 2, 2, 1, 1, 1, 0, 0, 0, 13, 2, 1, 1, 1, 15, 2, 2, 2, 1, 1, 1, 17, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 2, 1, 1, 1, 0, 0, 0, 0, 9, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 11, 2, 2, 1, 1, 1, 0, 0, 0, 13, 2, 1, 1, 1, 15, 2, 2, 2, 1, 1, 1, 17, 2, 2, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 7, 2, 1, 1, 1, 0, 0, 0, 0, 9, 2, 1, 1, 1, 0, 0, 11, 2, 2, 1, 1, 1, 0, 0, 0, 13, 2, 1, 1, 1, 15, 2, 2, 2, 1, 1, 1, 17, 2, 2, 1, 1, 4, 4, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 2, 2, 2, 1, 1 ]
[ 1070, 1619, 1356, 1188, 13734, 203, 1070, 31074, 1188, 4054, 203, 465, 2322, 203, 1070, 29590, 1188, 19584, 24723, 974, 203, 465, 15798, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1262, 32, 2536, 32, 30939, 761, 1188, 632, 1716, 2381, 974, 203, 1070, 8527, 32, 858, 1188, 19205, 203, 1070, 8527, 32, 858, 32, 2304, 1188, 2684, 81, 3550, 203, 465, 343, 2632, 203, 465, 4395, 203, 1070, 35381, 1188, 4361, 203, 1070, 4377, 2242, 1188, 308, 284, 10960, 81, 33751, 81, 35775, 81, 28589, 30, 284, 10960, 81, 33751, 81, 35775, 81, 18820, 30, 284, 10960, 81, 33751, 81, 13727, 81, 2319, 30, 284, 10960, 81, 33751, 81, 13727, 81, 2399, 30, 284, 10960, 81, 33751, 81, 13727, 81, 14038, 2319, 30, 284, 1487, 81, 3959, 81, 2242, 30, 284, 4361, 24536, 30, 284, 3345, 81, 3959, 81, 2242, 30, 284, 6042, 81, 30939, 81, 893, 30, 203, 27, 203, 1070, 638, 8774, 1188, 1930, 81, 893, 81, 761, 30, 1930, 81, 30939, 81, 761, 203, 50, 583, 102, 32, 583, 102, 203, 50, 18986, 32, 5961, 23093, 26, 3550, 32, 7789, 81, 2413, 14594, 610, 330, 94, 874, 32, 11400, 370, 330, 4290, 4361, 2330, 438, 1755, 5420, 328, 498, 2739, 683, 203, 823, 2108, 9197, 32945, 1658, 26, 7233, 711, 284, 665, 1505, 81, 6460, 81, 1267, 26, 784, 30, 18767, 81, 761, 30, 2799, 81, 11879, 81, 1436, 711, 291, 415, 2799, 81, 11879, 81, 1436, 438, 646, 1665, 44, 324, 623, 630, 32, 23895, 26, 1658, 24536, 27, 619, 3692, 44, 400, 6042, 81, 30939, 81, 893, 26, 30939, 81, 761, 27, 324, 630, 32, 5299, 26, 2095, 32, 3893, 32, 1436, 30, 2799, 81, 11879, 81, 1436, 27, 291, 813, 44, 324, 6042, 81, 30939, 81, 893, 26, 30939, 81, 761, 27, 324, 630, 32, 5299, 26, 30939, 81, 761, 32, 27787, 1026, 225, 34, 27, 284, 477, 583, 102, 32, 605, 26, 291, 308, 43, 43, 30, 10960, 81, 33751, 81, 35775, 81, 18820, 471, 291, 308, 35, 34, 34, 30, 2588, 291, 308, 35, 34, 36, 38, 30, 2588, 291, 308, 35, 34, 36, 39, 30, 10960, 81, 33751, 81, 35775, 81, 28589, 471, 284, 829, 284, 477, 583, 102, 32, 15404, 284, 477, 7106, 81, 3550, 26, 21448, 81, 10393, 81, 4683, 81, 19155, 47, 35, 34, 34, 30, 4158, 3539, 81, 10393, 81, 3459, 81, 19155, 47, 35, 34, 36, 38, 27, 284, 665, 894, 81, 761, 81, 891, 26, 784, 30, 7623, 81, 891, 30, 2799, 81, 11879, 81, 1436, 47, 2521, 711, 291, 623, 1930, 81, 30939, 81, 761, 26, 324, 13135, 4310, 35, 30, 225, 35, 471, 5016, 26328, 1645, 392, 1795, 81, 681, 347, 893, 33, 1645, 392, 7650, 81, 891, 47, 4462, 81, 891, 291, 829, 619, 18767, 81, 761, 44, 324, 630, 32, 1553, 81, 6460, 81, 1267, 26, 30939, 81, 761, 30, 2799, 81, 11879, 81, 1436, 27, 284, 477, 583, 102, 32, 605, 26, 291, 308, 2296, 7876, 392, 313, 893, 33, 7876, 2113, 291, 308, 2296, 3072, 392, 313 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 1, 1, 1, 3, 3, 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, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 2, 4, 4, 3, 4, 4, 1, 2, 5, 4, 5, 5, 4, 7, 6, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 4, 5, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 6, 6, 6, 6, 5, 4, 4, 6, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6, 8, 13, 14, 13, 14, 14, 13, 11, 11, 8, 8, 8, 12, 12, 12, 12, 12, 13, 13, 13, 12, 7, 7, 10, 11, 10, 13, 12, 13, 11, 12, 10, 10, 11, 11, 11, 11, 10, 6, 6, 7, 7, 7, 11, 11, 11, 11, 11, 12, 12, 12, 11, 8, 8, 11, 12, 11, 14, 14, 14, 13, 14, 13, 11, 12, 11, 3, 3, 8, 8, 7, 8, 7, 7, 7, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 8, 7, 7, 9, 9, 9, 8, 8, 7, 7, 9, 9, 9, 9, 8, 8, 7, 7, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 8, 7, 7, 4, 4, 7, 7, 6, 7, 4, 4, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 7, 4, 4, 5, 6, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 8, 8, 8, 8, 7, 8, 6, 5, 5, 7, 12, 12, 12, 12, 12, 12, 12, 13, 15, 14, 14, 15, 14, 12, 13, 15, 15, 12, 14, 14, 13, 15, 15, 15, 15, 12, 14, 14, 13, 14, 14, 14, 12, 12, 10, 10, 12, 12, 7, 7, 7, 11, 12, 12, 12, 12, 12, 11, 12, 12, 12, 11, 11, 12, 12, 12, 12, 11, 3, 3, 8, 8, 7, 8, 7, 7, 7, 10, 10, 10, 8, 10, 10, 10, 10, 7, 7, 10, 10, 10, 8 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 6, 6, 6, 0, 0, 0, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 0, 0, 10, 10, 0, 11, 11, 11, 11, 0, 12, 12, 0, 12, 12, 12, 12, 0, 0, 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, 0, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 12, 12, 12, 0, 12, 12, 12, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 12, 12, 12, 0, 13, 13, 0, 13, 13, 0, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 14, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 14, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 5, 5, 5, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 3, 3, 3, 1, 0, 0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 7, 7, 3, 3, 3, 3, 3, 3, 7, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 0, 0, 0, 0, 5, 2, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 1, 3, 1, 2, 1, 0, 0, 5, 1, 1, 1, 2, 1, 0, 0, 7, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 3 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 1360, 203, 465, 2322, 203, 465, 5237, 203, 1070, 39523, 32, 1439, 1188, 488, 867, 924, 203, 1070, 39523, 32, 858, 32, 2282, 1188, 2108, 1761, 203, 1070, 4395, 1188, 7841, 203, 1070, 7562, 108, 2243, 1188, 2575, 203, 7020, 280, 2322, 32, 983, 32, 21379, 26, 500, 32, 983, 32, 7781, 4064, 761, 28154, 203, 823, 13925, 2262, 284, 665, 1156, 1664, 3207, 784, 30, 17171, 711, 291, 630, 32, 13889, 280, 17171, 284, 665, 2454, 26, 784, 711, 291, 665, 617, 13889, 2262, 324, 442, 630, 32, 13889, 291, 442, 617, 13889, 203, 823, 2108, 2711, 6834, 26, 35506, 711, 284, 6887, 81, 1515, 280, 2322, 32, 983, 32, 2524, 26, 7020, 30, 330, 13889, 683, 284, 665, 617, 1945, 81, 31982, 26, 784, 711, 291, 442, 2108, 1761, 1114, 1945, 81, 31982, 26, 784, 30, 2107, 4756, 2188, 3414, 81, 1493, 1057, 31982, 32, 13889, 683, 284, 477, 2675, 463, 4652, 81, 5379, 32, 1731, 81, 3038, 81, 3953, 683, 284, 665, 894, 81, 944, 81, 3038, 81, 1493, 81, 1070, 81, 5660, 26, 784, 30, 4395, 711, 291, 415, 323, 3464, 867, 32, 7621, 25, 646, 328, 5237, 32, 3477, 44, 324, 2047, 280, 1360, 32, 890, 81, 1647, 26, 84, 3464, 867, 32, 7621, 683, 324, 5237, 32, 3477, 77, 84, 3464, 867, 32, 7621, 785, 280, 2047, 291, 4395, 32, 601, 81, 853, 280, 428, 2711, 4901, 13889, 785, 2177, 291, 623, 630, 32, 23895, 26, 63, 867, 924, 711, 324, 630, 1114, 1945, 81, 31982, 346, 284, 477, 2675, 463, 4652, 81, 5379, 32, 1731, 81, 3038, 81, 3953, 683, 284, 665, 894, 81, 944, 81, 3038, 81, 1493, 81, 1070, 81, 761, 26, 784, 30, 4395, 711, 291, 4395, 32, 601, 81, 853, 280, 428, 2711, 2009, 500, 32, 983, 32, 2524, 463, 13889, 370, 330, 6390, 32, 978, 683, 25456, 291, 1056, 30, 12532, 30, 16154, 280, 630, 1114, 1945, 81, 31982, 346, 291, 630, 32, 25839, 2521, 26, 1267, 27, 291, 630, 32, 33966, 463, 3515, 81, 3986, 370, 12532, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 3, 2, 2, 5, 6, 4, 5, 4, 8, 7, 8, 6, 7, 6, 7, 7, 0, 1, 1, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 6, 5, 5, 7, 8, 9, 4, 4, 5, 6, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 6, 6, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 8, 7, 8, 8, 8, 7, 8, 7, 7, 10, 10, 7, 9, 9, 8, 10, 10, 10, 10, 2, 2, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 6, 9, 9, 9, 9, 9, 7, 7, 7, 8, 9, 6, 6, 6, 9, 9, 11, 12, 12, 12, 11, 13, 13, 13, 13, 13, 13, 7, 7, 11, 12, 10, 12, 12, 12, 12, 12, 12, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 10, 10, 13, 13, 10, 5, 5, 6, 10, 11, 10, 11, 11, 11, 10, 6, 6, 10, 11, 11, 11, 10, 2, 2, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 4, 4, 8, 9, 9, 9, 7, 7, 10, 10, 15, 14, 15, 13, 14, 13, 15, 15, 13, 15, 15, 15, 15, 11, 5, 5, 8, 8, 8, 8, 7, 7, 9, 10, 10, 10, 9, 5, 5, 8, 9, 9, 8, 9, 8, 5, 5, 8, 9, 8, 10, 10, 10, 10, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 5, 5, 1, 2, 1, 4, 5, 5, 0, 0, 6, 6, 6, 6, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 9, 9, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 4, 4, 1, 1, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 5, 1, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 3, 3, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 4, 4, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 823, 10604, 7845, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 9592, 12390, 106, 27, 641, 49, 555, 18470, 1499, 8169, 6505, 291, 308, 2805, 8761, 4462, 8169, 508, 33, 6589, 110, 2607, 8195, 8169, 8761, 4462, 8169, 508, 110, 2607, 8195, 8169, 107, 1008, 896, 8169, 1299, 291, 829, 33, 12390, 66, 46, 314, 8828, 51, 31, 21948, 31, 108, 34, 31, 43, 44340, 291, 5881, 284, 617, 24685, 280, 428, 291, 301, 324, 330, 965, 950, 330, 525, 555, 8761, 4462, 32, 508, 33, 6589, 33, 35, 38, 91, 35, 38, 90, 370, 324, 330, 954, 39, 950, 330, 39, 87, 36, 85, 40, 37, 37, 42, 39, 38, 39, 38, 85, 39, 39, 41, 88, 43, 41, 85, 38, 85, 38, 35, 37, 35, 83, 37, 43, 37, 2087, 370, 324, 330, 1338, 81, 2665, 950, 301, 400, 330, 314, 950, 330, 35, 38, 91, 35, 38, 90, 370, 400, 330, 407, 950, 330, 317, 38, 370, 400, 330, 1311, 950, 330, 7471, 964, 454, 52, 311, 5562, 81, 37, 36, 34, 106, 35, 42, 34, 32, 317, 38, 370, 400, 330, 12301, 950, 330, 268, 44, 80, 641, 49, 555, 3424, 8169, 92, 348, 49, 89, 370, 324, 320, 291, 801, 291, 301, 324, 330, 965, 950, 330, 525, 555, 6912, 32, 8761, 4462, 32, 508, 33, 35, 38, 91, 35, 38, 90, 370, 324, 330, 2585, 81, 19807, 950, 2933, 30, 291, 801, 291, 301, 324, 330, 965, 950, 330, 525, 555, 6912, 32, 107, 1008, 896, 32, 1299, 33, 35, 38, 91, 35, 38, 90, 49, 1580, 81, 761, 81, 314, 47, 42, 34, 37, 37, 38, 43, 370, 324, 330, 2585, 81, 19807, 950, 2933, 30, 291, 801, 284, 1481, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 711, 291, 6027, 81, 314, 280, 630, 1114, 2872, 81, 314, 26, 965, 27, 291, 8195, 81, 965, 280, 330, 525, 555, 6912, 32, 107, 1008, 896, 32, 1299, 5263, 34, 44, 16805, 1643, 26, 5000, 81, 314, 27, 291, 41164, 280, 630, 1114, 4984, 81, 1840, 1637, 26, 6912, 81, 965, 30, 6027, 81, 314, 27, 291, 1780, 280, 630, 1114, 817, 81, 1903, 81, 1311, 26, 1840, 1637, 27, 291, 6027, 81, 965, 280, 630, 1114, 817, 81, 1903, 81, 5000, 81, 965, 26, 1840, 1637, 27, 291, 23189, 280, 630, 1114, 817, 81, 1903, 81, 12301, 26, 1840, 1637, 30, 1244, 47, 2521, 27, 291, 442, 301, 324, 330, 314, 950, 6027, 81, 314, 30, 324, 330, 1311, 950, 1780, 30, 324, 330, 965, 950, 6027, 81, 965, 30, 324, 330, 12301, 950, 23189, 30, 324, 330, 525, 81, 5078, 950, 301, 400, 330, 8804, 265, 950, 8195, 81, 965, 30, 324, 801, 291, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 4, 4, 5, 5, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 8, 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, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 6, 6, 5, 5, 6, 6, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 7, 6, 6, 6, 5, 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, 6, 6, 9, 9, 9, 9, 7, 6, 6, 6, 5, 5, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 7, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 7, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 8, 9, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 8, 4, 4, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 8, 8, 9, 10, 8, 4, 4, 5, 6, 6, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 7, 6, 6, 6, 9, 9, 7, 8, 8, 6, 6, 6, 9, 9, 7, 6, 6, 6, 9, 9, 9, 9, 7, 8, 8, 11, 11, 11, 9, 10, 10, 8, 8, 8, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 5, 5, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 2, 3, 5, 5, 5, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 2, 1, 4, 4, 6, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 1, 2, 9, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 9565, 542, 380, 716, 81, 5817, 81, 10621, 32, 34954, 32, 17055, 81, 7580, 81, 9436, 1188, 15717, 81, 1517, 30, 15717, 81, 1517, 81, 800, 203, 1070, 9565, 542, 380, 716, 81, 5817, 81, 10621, 32, 6844, 81, 5546, 32, 270, 3452, 81, 33553, 1188, 225, 551, 4244, 203, 1070, 9565, 542, 380, 716, 81, 5817, 81, 10621, 32, 34954, 32, 17055, 81, 7580, 81, 9436, 1188, 622, 1812, 17766, 203, 1070, 9565, 542, 380, 716, 81, 5817, 81, 10621, 32, 9436, 81, 17055, 1188, 7400, 17766, 619, 2678, 98, 81, 17055, 203, 1070, 43082, 1188, 526, 18897, 30, 526, 18897, 40, 30, 7743, 841, 418, 30, 323, 2327, 34359, 203, 1070, 6436, 1188, 1417, 30, 354, 3034, 30, 22483, 30, 11668, 30, 17058, 30, 5045, 30, 619, 4873, 30, 619, 955, 30, 10625, 203, 1070, 6436, 1188, 8184, 619, 1593, 203, 1070, 6436, 32, 20973, 1188, 9807, 203, 465, 6436, 619, 2065, 203, 1070, 7744, 1188, 43191, 30, 8316, 30, 17058, 203, 465, 281, 4290, 203, 2356, 32, 470, 81, 1216, 2184, 26, 15144, 47, 36, 30, 28182, 47, 1815, 30, 34797, 47, 35, 34, 34, 293, 203, 1070, 39260, 279, 81, 35278, 1188, 319, 203, 505, 18386, 280, 225, 35, 87, 31, 42, 45, 203, 589, 37666, 26, 106, 711, 284, 736, 280, 22483, 2009, 37, 30, 37, 1130, 284, 736, 77, 34, 30, 34, 79, 280, 647, 34, 45, 225, 736, 77, 34, 30, 35, 79, 280, 429, 106, 77, 36, 970, 736, 77, 34, 30, 36, 79, 280, 225, 816, 77, 35, 970, 284, 736, 77, 35, 30, 34, 79, 280, 225, 816, 77, 36, 970, 225, 736, 77, 35, 30, 35, 79, 280, 262, 34, 2082, 736, 77, 35, 30, 36, 79, 280, 429, 106, 77, 34, 970, 284, 736, 77, 36, 30, 34, 79, 280, 429, 106, 77, 35, 970, 225, 736, 77, 36, 30, 35, 79, 280, 225, 816, 77, 34, 970, 736, 77, 36, 30, 36, 79, 280, 264, 34, 225, 2082, 284, 442, 736, 203, 589, 6122, 606, 26, 104, 711, 284, 4406, 280, 354, 32, 3229, 77, 34, 79, 284, 736, 280, 22483, 2009, 3534, 30, 3534, 1989, 284, 436, 595, 328, 2155, 26, 3534, 711, 291, 736, 77, 91, 30, 91, 79, 280, 354, 77, 91, 79, 284, 442, 736, 203, 589, 1156, 1664, 81, 40, 54, 2262, 284, 442, 22483, 2009, 40, 30, 37, 5727, 22483, 26, 40, 27, 203, 589, 13316, 26, 51, 30, 84, 47, 2521, 711, 284, 744, 81, 2138, 280, 1605, 284, 436, 595, 328, 2155, 308, 51, 32, 3229, 77, 34, 10794, 291, 310, 81, 51, 280, 9807, 26, 51, 77, 91, 13206, 1130, 291, 415, 26, 96, 81, 51, 863, 225, 34, 32, 711, 324, 399, 77, 91, 33605, 280, 399, 77, 91, 33605, 517, 310, 81, 51, 324, 415, 323, 863, 1665, 44, 400, 323, 77, 91, 79, 280, 323, 77, 91, 79, 517, 310, 81, 51, 284, 415, 323, 379, 1665, 44, 291, 442, 399, 284, 442, 399, 30, 323, 203, 589, 7596, 81, 53, 18145, 26, 98, 30, 489 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 4, 2, 2, 3, 3, 3, 0, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 0, 4, 3, 4, 4, 4, 4, 3, 5, 4, 5, 3, 3, 4, 5, 3, 3, 4, 5, 5, 5, 3, 0, 1, 1, 3, 3, 3, 1, 1, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 8, 7, 8, 7, 2, 2, 5, 6, 5, 6, 5, 4, 4, 5, 2, 2, 2, 5, 6, 5, 6, 5, 4, 4, 7, 6, 7, 6, 2, 5, 6, 5, 6, 5, 4, 4, 4, 5, 6, 5, 2, 2, 5, 6, 5, 6, 5, 4, 4, 4, 5, 6, 5, 2, 2, 5, 6, 5, 6, 5, 4, 4, 5, 2, 2, 5, 6, 5, 6, 5, 4, 4, 7, 6, 7, 6, 2, 2, 5, 6, 5, 6, 5, 4, 4, 7, 6, 7, 6, 2, 2, 5, 6, 5, 6, 5, 4, 4, 4, 5, 6, 5, 2, 5, 6, 5, 6, 5, 4, 4, 5, 2, 2, 2, 2, 3, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 6, 7, 5, 6, 5, 2, 2, 4, 4, 6, 8, 7, 8, 7, 2, 2, 3, 3, 3, 5, 6, 5, 3, 3, 7, 8, 7, 8, 7, 6, 6, 7, 8, 7, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 3, 6, 8, 7, 8, 7, 4, 6, 7, 6, 0, 1, 1, 2, 3, 2, 4, 3, 4, 2, 1, 1, 5, 5, 4, 4, 2, 2, 3, 3, 3, 4, 8, 7, 8, 6, 7, 6, 3, 3, 7, 7, 6, 6, 8, 10, 9, 10, 9, 9, 4, 4, 6, 8, 8, 8, 7, 7, 8, 8, 6, 5, 5, 9, 10, 9, 8, 8, 10, 11, 10, 9, 9, 10, 10, 6, 6, 7, 8, 8, 7, 7, 7, 11, 12, 11, 10, 10, 12, 13, 12, 11, 11, 12, 12, 2, 2, 3, 4, 4, 3, 3, 3, 5, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 4, 4, 4, 4, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 0, 3, 3, 2, 2, 2, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 6, 6, 6, 6, 3, 3, 0, 7, 7, 1, 2, 7, 7, 0, 8, 8, 1, 1, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0, 10, 10, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 2, 2, 1, 0, 13, 13, 0, 0, 0, 13, 13, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 16, 16, 2, 1, 2, 16, 16, 0, 0, 1, 1, 1, 3, 1, 4, 4, 0, 2, 0, 4, 0, 0, 0, 2, 4, 4, 4, 0, 2, 0, 4, 0, 0, 0, 0, 1, 2, 1, 4, 0, 2, 0, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 4, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 2, 0, 4, 0, 0, 0, 2, 4, 4, 0, 2, 0, 4, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 0, 4, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 0, 4, 0, 0, 0, 0, 2, 2, 2, 4, 0, 2, 0, 4, 0, 0, 0, 2, 4, 4, 4, 4, 19, 0, 17, 17, 1, 2, 1, 2, 17, 17, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 3, 1, 4, 4, 3, 3, 3, 1, 1, 1, 3, 3, 0, 2, 0, 4, 0, 0, 0, 2, 2, 2, 4, 4, 4, 0, 18, 18, 1, 1, 1, 1, 2, 18, 18, 0, 1, 1, 1, 3, 1, 1, 1, 1, 1, 0, 19, 19, 2, 1, 2, 0, 3, 2, 2, 19, 19, 0, 0, 0, 0, 4, 4, 1, 1, 1, 3, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 5, 5, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 4, 4, 2, 1, 1, 2, 2, 2, 0, 4, 4, 3, 1, 1, 0, 20, 20, 1, 1, 1, 2, 1, 2, 2 ]
[ 1070, 638, 16129, 83, 40, 36, 34, 34, 34, 98, 1188, 319, 203, 823, 25680, 83, 40, 36, 34, 35, 36, 98, 42, 34, 40, 34, 26, 16129, 83, 40, 36, 34, 34, 34, 98, 711, 284, 313, 36898, 83, 399, 1713, 225, 40, 36, 34, 35, 36, 66, 31, 42, 34, 31, 40, 34, 9484, 439, 11276, 23286, 7169, 19431, 5398, 20, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 630, 3667, 2665, 9818, 37329, 14728, 17960, 81, 314, 370, 330, 40, 36, 34, 35, 36, 66, 31, 42, 34, 31, 40, 34, 683, 291, 2599, 26, 16129, 83, 40, 36, 34, 35, 36, 98, 42, 34, 40, 34, 30, 630, 14585, 1664, 45909, 1132, 30, 1115, 5321, 27, 291, 630, 1114, 2024, 81, 998, 280, 225, 35, 291, 630, 1114, 2024, 81, 2285, 280, 428, 324, 301, 400, 330, 3585, 950, 301, 528, 330, 66, 42, 34, 72, 950, 308, 42, 34, 32, 34, 30, 225, 40, 34, 32, 34, 27, 400, 801, 400, 330, 1538, 98, 81, 1449, 950, 225, 42, 42, 32, 34, 30, 8982, 330, 542, 98, 81, 1449, 950, 225, 40, 37, 32, 34, 30, 8982, 330, 34383, 81, 1449, 950, 225, 42, 34, 32, 34, 30, 400, 330, 1700, 81, 1449, 950, 225, 40, 34, 32, 34, 324, 320, 291, 1481, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 8, 9, 9, 8, 7, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 9, 7, 7, 9, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 8, 8, 11, 11, 9, 10, 10, 13, 13, 13, 13, 13, 11, 13, 13, 13, 13, 12, 12, 13, 13, 13, 13, 12, 10, 10, 8, 8, 11, 11, 11, 11, 11, 9, 10, 10, 10, 10, 8, 8, 8, 11, 11, 11, 11, 11, 9, 10, 10, 10, 10, 8, 8, 8, 11, 11, 11, 11, 9, 10, 10, 10, 10, 8, 8, 8, 11, 11, 11, 11, 9, 10, 10, 10, 10, 8, 8, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 7, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 9, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 6234, 203, 465, 26313, 203, 465, 2361, 203, 823, 2556, 43829, 2798, 2262, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 16717, 280, 1605, 291, 630, 32, 32100, 280, 3177, 291, 630, 32, 272, 43829, 81, 668, 10876, 81, 625, 280, 225, 39, 34, 34, 34, 35, 291, 630, 32, 1696, 81, 639, 280, 6234, 32, 44239, 649, 1170, 426, 26, 4817, 32, 44239, 649, 426, 1157, 291, 273, 280, 26313, 32, 3021, 26, 1977, 47, 784, 32, 12220, 81, 5837, 30, 636, 1057, 34, 32, 34, 32, 34, 32, 34, 370, 400, 2181, 37346, 34, 32, 34, 32, 34, 32, 34, 370, 490, 291, 273, 32, 470, 26376, 26, 1815, 27, 291, 273, 32, 1366, 346, 284, 665, 3240, 26, 784, 30, 963, 652, 711, 291, 436, 6234, 81, 4531, 328, 630, 32, 16717, 44, 324, 1596, 44, 400, 6234, 81, 4531, 32, 2714, 26, 541, 652, 27, 324, 2940, 3268, 619, 484, 44, 400, 1459, 440, 984, 2218, 11926, 706, 44, 904, 101, 20, 904, 484, 27, 400, 630, 32, 16717, 32, 2546, 26, 4817, 81, 4531, 27, 400, 1459, 440, 2798, 23126, 7144, 284, 665, 14884, 81, 5837, 26, 784, 30, 458, 81, 639, 711, 291, 309, 280, 6234, 32, 4817, 26, 4817, 32, 5995, 81, 21399, 30, 6234, 32, 30492, 81, 13169, 27, 291, 309, 32, 470, 46989, 26, 4817, 32, 18634, 81, 22251, 30, 6234, 32, 3629, 81, 613, 4855, 8588, 30, 225, 35, 27, 291, 309, 32, 2539, 1162, 578, 81, 639, 30, 630, 32, 272, 43829, 81, 668, 10876, 81, 625, 490, 291, 309, 32, 12220, 26, 35, 27, 291, 1459, 440, 35357, 436, 3927, 18601, 2556, 43829, 544, 313, 474, 458, 81, 639, 474, 17917, 474, 400, 596, 26, 784, 32, 272, 43829, 81, 668, 10876, 81, 625, 490, 291, 2218, 2933, 44, 324, 4567, 30, 8705, 280, 309, 32, 7494, 346, 324, 1459, 440, 1812, 3387, 372, 313, 474, 458, 81, 639, 474, 313, 645, 313, 474, 596, 26, 3225, 490, 324, 4899, 280, 14835, 1972, 26, 3781, 30, 8705, 27, 324, 4899, 32, 1366, 346, 324, 630, 32, 16717, 32, 1689, 26, 4531, 27, 284, 665, 3240, 81, 25916, 26, 784, 30, 636, 30, 786, 30, 1692, 47, 2521, 711, 291, 706, 280, 5053, 426, 950, 426, 1947, 853, 950, 853, 111, 291, 415, 1692, 438, 646, 1665, 461, 1692, 863, 40496, 324, 706, 710, 1567, 785, 280, 1692, 291, 630, 32, 2714, 26, 1260, 32, 16958, 26, 605, 27, 474, 3228, 106, 34, 34, 683, 284, 665, 6584, 81, 6286, 26, 784, 711, 291, 1169, 81, 15628, 81, 605, 280, 35617, 2524, 26, 4531, 32, 15628, 81, 2501, 81, 605, 436, 4899, 328, 400, 630, 32, 16717, 27, 291, 442, 1169, 81, 15628, 81, 605, 32, 2998, 9442, 34, 683, 203, 823, 14835, 1972, 26, 42183, 32, 3021, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3387, 30, 2965, 711, 291, 2599, 26, 5264, 1972, 30, 630, 14585, 1664, 16369, 291, 630, 32, 19186, 280, 2933, 291, 630, 32, 3841, 280, 3387, 291, 630, 32, 2468, 280, 2965 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 9, 8, 11, 10, 11, 11, 11, 10, 4, 4, 6, 6, 8, 9, 8, 10, 9, 11, 10, 11, 11, 11, 8, 8, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 12, 12, 12, 12, 12, 12, 12, 12, 10, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 7, 2, 2, 3, 4, 5, 4, 4, 5, 4, 3, 3, 5, 6, 6, 5, 5, 6, 7, 5, 5, 5, 7, 7, 7, 12, 12, 11, 12, 11, 12, 12, 11, 7, 7, 8, 9, 9, 8, 8, 8, 12, 15, 15, 15, 15, 15, 15, 15, 15, 13, 13, 12, 9, 9, 13, 14, 12, 13, 12, 13, 13, 13, 12, 9, 9, 12, 14, 14, 14, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 4, 3, 3, 6, 6, 8, 9, 8, 10, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 4, 4, 7, 8, 8, 7, 9, 8, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 7, 7, 8, 7, 4, 4, 7, 8, 7, 9, 9, 9, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 8, 4, 4, 7, 8, 7, 8, 7, 4, 4, 7, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 11, 9, 9, 8, 8, 8, 10, 12, 11, 12, 12, 12, 12, 12, 12, 12, 10, 4, 4, 5, 5, 5, 5, 9, 9, 8, 8, 10, 11, 10, 6, 6, 9, 14, 14, 14, 14, 12, 12, 13, 13, 11, 11, 13, 13, 10, 10, 12, 13, 12, 6, 6, 8, 8, 10, 10, 11, 10, 10, 10, 6, 6, 9, 10, 9, 6, 6, 10, 11, 9, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 6, 4, 3, 3, 6, 6, 10, 10, 9, 7, 10, 10, 9, 7, 4, 4, 5, 7, 7, 7, 6, 6, 7, 7, 5, 5, 9, 11, 11, 8, 8, 4, 4, 7, 8, 7, 11, 10, 11, 10, 11, 10, 8, 8, 11, 11, 11, 10, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 7, 7, 7, 6, 6, 9, 8, 10, 9, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 10, 11, 8, 4, 4, 5, 8, 8, 8, 8, 7, 8, 7, 10, 9, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 9, 10, 10, 9, 9, 9, 8, 8, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 1, 4, 4, 1, 2, 1, 2, 2, 3, 2, 1, 1, 0, 1, 1, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 1, 5, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 4, 5, 5, 5, 5, 0, 0, 0, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 0, 2, 1, 3, 3, 0, 2, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 3, 3, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 4, 4, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 1, 4, 4, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 4, 4, 1, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0 ]
[ 465, 316, 203, 823, 3891, 105, 1174, 26, 1473, 711, 284, 26012, 81, 5834, 280, 428, 291, 2884, 7794, 392, 262, 313, 2009, 83, 31, 108, 34, 31, 43, 11466, 6155, 43471, 291, 2884, 30194, 392, 225, 313, 2009, 83, 31, 108, 6155, 43471, 291, 2884, 14951, 392, 225, 313, 4987, 86, 24913, 2113, 291, 2884, 1354, 14500, 392, 11608, 32, 24913, 3830, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 7920, 272, 280, 1605, 291, 630, 32, 4254, 280, 3330, 291, 630, 32, 5607, 280, 9044, 23, 101, 11033, 284, 665, 11656, 26, 784, 30, 5202, 30, 12809, 711, 291, 415, 5202, 610, 34863, 324, 596, 280, 12809, 291, 4348, 12809, 610, 34863, 324, 596, 280, 5202, 291, 813, 44, 596, 280, 5202, 474, 313, 313, 474, 12809, 291, 596, 280, 596, 32, 3227, 440, 3003, 2706, 101, 36998, 291, 436, 2404, 30, 9667, 328, 630, 32, 9052, 81, 5834, 44, 324, 596, 280, 596, 32, 3227, 440, 7846, 101, 4731, 904, 2404, 30, 9667, 27, 291, 442, 316, 32, 6993, 26, 784, 32, 5607, 904, 596, 30, 316, 32, 1434, 2576, 6755, 3204, 27, 284, 665, 1156, 1851, 3207, 784, 30, 319, 7920, 81, 43118, 711, 291, 665, 26627, 26, 1298, 711, 324, 5202, 272, 280, 630, 32, 4254, 324, 415, 646, 19326, 26, 784, 32, 4254, 30, 9602, 1731, 505, 10280, 400, 5202, 272, 280, 428, 784, 32, 4254, 79, 324, 415, 646, 19326, 26, 1298, 30, 313, 7920, 272, 10280, 400, 39506, 26, 1298, 30, 313, 7920, 272, 392, 11544, 324, 436, 5202, 328, 5202, 272, 44, 2033, 400, 436, 540, 466, 328, 9667, 81, 43118, 44, 528, 9667, 280, 630, 32, 9266, 26, 4254, 30, 540, 466, 27, 528, 18623, 26, 1298, 30, 313, 7920, 272, 1895, 1689, 26, 7920, 27, 528, 630, 32, 7920, 272, 32, 1689, 1162, 7920, 30, 3420, 490, 324, 442, 3420, 291, 442, 26627, 284, 665, 2530, 26, 784, 30, 309, 784, 30, 596, 711, 291, 1459, 2706, 96, 78, 96, 15895, 1392, 78, 96, 78, 96, 44, 904, 101, 20, 904, 596, 291, 436, 8402, 30, 3420, 328, 630, 32, 7920, 272, 44, 324, 2530, 280, 8402, 32, 2872, 26, 466, 27, 324, 415, 2530, 44, 400, 8351, 280, 1992, 26, 5962, 816, 44, 816, 461, 816, 32, 7201, 346, 556, 816, 30, 2530, 32, 6332, 1157, 400, 442, 308, 1298, 30, 8351, 27, 284, 665, 11771, 26, 784, 711, 291, 442, 630, 3667, 1851, 505, 17987, 284, 665, 5535, 26, 784, 711, 291, 442, 630, 3667, 1851, 505, 21870, 1354, 14500, 14451, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 5, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 6, 6, 8, 8, 8, 8, 5, 5, 8, 8, 8, 6, 8, 8, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 8, 6, 6, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 6, 6, 8, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 8, 8, 5, 5, 6, 7, 7, 6, 6, 9, 9, 5, 5, 6, 6, 9, 9, 11, 11, 13, 10, 10, 4, 4, 6, 6, 8, 9, 8, 10, 8, 10, 10, 4, 4, 5, 6, 6, 5, 5, 6, 7, 7, 7, 5, 5, 5, 8, 8, 10, 11, 10, 13, 13, 13, 11, 11, 10, 10, 10, 4, 4, 5, 7, 8, 7, 10, 9, 10, 8, 8, 7, 7, 8, 9, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 6, 6, 6, 4, 3, 3, 5, 6, 7, 6, 5, 5, 9, 8, 8, 9, 10, 6, 6, 7, 8, 10, 12, 11, 12, 10, 10, 12, 12, 12, 7, 7, 11, 10, 10, 13, 12, 13, 11, 6, 6, 7, 8, 10, 11, 10, 10, 12, 12, 12, 7, 7, 11, 12, 11, 11, 13, 13, 13, 11, 6, 6, 7, 7, 7, 8, 7, 7, 7, 7, 9, 10, 9, 9, 10, 10, 9, 9, 9, 12, 12, 14, 15, 14, 15, 14, 14, 15, 14, 10, 10, 15, 16, 15, 15, 17, 17, 17, 14, 13, 14, 13, 10, 10, 14, 15, 15, 13, 14, 13, 15, 14, 14, 14, 6, 6, 7, 4, 4, 5, 2, 2, 3, 4, 5, 4, 4, 5, 4, 4, 4, 3, 3, 5, 9, 9, 9, 8, 8, 9, 9, 9, 9, 8, 8, 8, 8, 6, 6, 4, 4, 5, 6, 6, 5, 5, 6, 7, 7, 5, 5, 5, 8, 8, 10, 11, 10, 11, 10, 6, 6, 7, 7, 7, 7, 10, 10, 12, 13, 13, 13, 13, 15, 15, 17, 18, 17, 14, 14, 12, 12, 14, 15, 14, 8, 8, 9, 11, 10, 10, 10, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 8, 7, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 5, 5, 1, 1, 1, 2, 2, 2, 1, 1, 2, 7, 1, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 4, 4, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 4, 4, 3, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 5, 5, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 5, 5, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 4, 4, 4, 2, 1, 2, 2, 3, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 3, 3, 1, 1, 0, 2, 1, 3, 3, 1, 1, 1, 1, 1, 4, 4, 5, 2, 1, 2, 5, 5, 0, 0, 2, 2, 1, 4, 4, 6, 2, 1, 2, 6, 6, 0, 0, 2, 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 ]
[ 1070, 20717, 1188, 20642, 3103, 2281, 30, 5547, 1959, 30, 5547, 2433, 203, 1070, 13625, 1188, 27087, 203, 823, 23426, 3041, 26, 14489, 711, 284, 1156, 2559, 32095, 505, 280, 20642, 3103, 2281, 284, 477, 37697, 284, 665, 26664, 26, 784, 711, 291, 442, 15670, 284, 665, 1156, 1851, 3207, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 32, 17099, 2740, 1132, 30, 1115, 5321, 27, 284, 665, 1156, 271, 3207, 784, 30, 1604, 711, 291, 1201, 6937, 26, 2455, 30, 27087, 27, 291, 1476, 81, 271, 280, 9254, 319, 1132, 30, 1115, 5321, 44, 630, 2740, 1132, 30, 1115, 5321, 27, 523, 1604, 2740, 1132, 30, 1115, 5321, 27, 291, 442, 23426, 26, 1851, 81, 271, 27, 284, 665, 1156, 363, 3207, 784, 30, 1604, 711, 291, 1201, 6937, 26, 2455, 30, 27087, 27, 291, 1476, 81, 363, 280, 9254, 319, 1132, 30, 1115, 5321, 44, 630, 2740, 1132, 30, 1115, 5321, 27, 549, 1604, 2740, 1132, 30, 1115, 5321, 27, 291, 442, 23426, 26, 1851, 81, 363, 27, 284, 665, 1156, 22218, 3207, 784, 711, 291, 1476, 81, 1206, 280, 9254, 319, 1132, 30, 1115, 5321, 44, 646, 630, 2740, 1132, 30, 1115, 5321, 27, 291, 442, 23426, 26, 1851, 81, 1206, 27, 203, 823, 23426, 26, 12688, 3041, 711, 284, 665, 1156, 1664, 3207, 784, 30, 26664, 711, 291, 1201, 6937, 26, 17099, 30, 27087, 27, 291, 630, 1114, 17099, 280, 26664, 284, 665, 26664, 26, 784, 30, 319, 1132, 30, 1115, 5321, 711, 291, 442, 630, 1114, 17099, 2740, 1132, 30, 1115, 5321, 27, 203, 589, 9804, 81, 271, 26, 1873, 30, 2091, 711, 284, 665, 1476, 81, 271, 2740, 1132, 30, 1115, 5321, 711, 291, 442, 2841, 2740, 1132, 30, 1115, 5321, 27, 523, 2091, 2740, 1132, 30, 1115, 5321, 27, 284, 1476, 81, 271, 3667, 1731, 505, 280, 3850, 2009, 1873, 30, 2091, 1130, 284, 442, 1476, 81, 271, 203, 589, 9804, 81, 363, 26, 1873, 30, 2091, 711, 284, 665, 1476, 81, 363, 2740, 1132, 30, 1115, 5321, 711, 291, 442, 2841, 2740, 1132, 30, 1115, 5321, 27, 549, 2091, 2740, 1132, 30, 1115, 5321, 27, 284, 1476, 81, 363, 3667, 1731, 505, 280, 3850, 2009, 1873, 30, 2091, 1130, 284, 442, 1476, 81, 363, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 5, 4, 4, 5, 5, 2, 2, 5, 3, 3, 4, 5, 6, 5, 4, 4, 6, 2, 2, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 10, 8, 8, 10, 7, 7, 10, 12, 10, 10, 12, 10, 8, 8, 10, 12, 10, 10, 12, 10, 4, 4, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 7, 4, 4, 7, 7, 6, 6, 7, 10, 8, 8, 10, 7, 7, 10, 12, 10, 10, 12, 10, 8, 8, 10, 12, 10, 10, 12, 10, 4, 4, 5, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 10, 8, 8, 10, 7, 7, 8, 10, 12, 10, 10, 12, 10, 4, 4, 5, 7, 8, 8, 8, 7, 0, 1, 1, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 7, 7, 7, 4, 4, 7, 8, 6, 6, 2, 2, 3, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 7, 8, 7, 9, 7, 7, 9, 7, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 8, 10, 8, 8, 10, 8, 6, 6, 8, 10, 8, 8, 10, 8, 2, 2, 6, 6, 5, 6, 6, 4, 4, 6, 8, 7, 7, 7, 2, 2, 3, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 4, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 8, 10, 8, 8, 10, 8, 6, 6, 8, 10, 8, 8, 10, 8, 2, 2, 6, 6, 5, 6, 6, 4, 4, 6, 8, 7, 7, 7, 2, 2, 3, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 4, 4, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 1, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 0, 3, 3, 2, 1, 1, 2, 3, 3, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 5, 5, 1, 1, 2, 1, 2, 2, 2, 5, 5, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 4, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 465, 5741, 203, 465, 485, 1229, 449, 203, 465, 12643, 619, 6121, 203, 1070, 372, 1295, 93, 32, 46221, 1188, 1491, 81, 1131, 203, 1070, 372, 1295, 93, 32, 4882, 1188, 894, 81, 605, 81, 983, 203, 1070, 372, 1295, 93, 32, 32370, 1188, 28671, 203, 823, 498, 5408, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 27619, 81, 761, 30, 5436, 81, 761, 30, 310, 16913, 47, 35, 34, 30, 1115, 5321, 711, 291, 630, 32, 22792, 280, 485, 1229, 449, 32, 37206, 32, 21208, 8695, 11467, 26, 22792, 81, 761, 27, 291, 630, 32, 11702, 280, 485, 1229, 449, 32, 37206, 32, 7870, 32, 944, 26, 2665, 81, 761, 27, 291, 630, 32, 1160, 280, 485, 1229, 449, 32, 3378, 32, 62, 1804, 1243, 26, 784, 32, 22792, 30, 1929, 81, 16913, 47, 96, 16913, 30, 804, 36, 1112, 47, 784, 32, 11702, 30, 1115, 5321, 27, 284, 665, 4131, 26, 784, 30, 4870, 711, 291, 630, 32, 1160, 32, 2853, 26, 3607, 27, 284, 665, 622, 81, 1393, 81, 4068, 26, 784, 30, 2663, 96, 711, 291, 2663, 81, 4068, 280, 428, 784, 32, 1160, 32, 2245, 81, 5473, 26, 5473, 1347, 30, 2663, 96, 27, 436, 8456, 1347, 328, 2155, 26, 784, 32, 1160, 32, 1516, 81, 16913, 2177, 291, 442, 2663, 81, 4068, 284, 665, 5615, 659, 81, 605, 26, 784, 30, 4870, 347, 3890, 659, 32, 4700, 392, 2663, 96, 81, 4068, 47, 35, 39, 711, 291, 5741, 32, 1338, 440, 48237, 5615, 659, 6867, 1509, 645, 904, 101, 313, 904, 630, 32, 22792, 27, 291, 2663, 81, 4068, 280, 630, 32, 371, 81, 1393, 81, 4068, 26, 1393, 96, 81, 4068, 27, 291, 2385, 280, 225, 35, 291, 436, 8456, 328, 2663, 81, 4068, 44, 324, 415, 2385, 610, 225, 35, 44, 400, 5018, 81, 1433, 280, 6121, 32, 11364, 26, 5473, 30, 6090, 11414, 3292, 370, 330, 1112, 3490, 400, 5018, 81, 1433, 710, 5473, 785, 280, 6121, 32, 9273, 26, 998, 30, 1650, 47, 1479, 81, 1433, 32, 1055, 27, 400, 5018, 280, 5018, 81, 1433, 324, 813, 44, 400, 5018, 81, 1433, 280, 6121, 32, 11364, 26, 5473, 30, 6090, 11414, 3292, 370, 330, 1112, 3490, 400, 5018, 81, 1433, 710, 5473, 785, 280, 6121, 32, 9273, 26, 998, 30, 1650, 47, 1479, 81, 1433, 32, 1055, 27, 400, 5018, 280, 5018, 32, 1689, 26, 1479, 81, 1433, 30, 5079, 81, 1055, 47, 1815, 27, 324, 2385, 1454, 225, 35, 291, 5741, 32, 1338, 440, 38666, 5615, 659, 6867, 1509, 11412, 803, 372, 904, 101, 313, 904, 4870, 27, 291, 5018, 32, 452, 81, 4700, 26, 3607, 30, 1650, 47, 2700, 30, 7328, 1057, 3310, 31, 42, 683, 291, 442, 5018, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 3, 0, 1, 1, 2, 2, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 5, 4, 4, 6, 5, 6, 6, 4, 4, 6, 4, 3, 3, 7, 8, 6, 6, 10, 10, 9, 10, 8, 9, 9, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 11, 11, 10, 11, 9, 10, 8, 9, 8, 9, 9, 9, 8, 4, 4, 7, 8, 6, 6, 10, 10, 9, 10, 8, 9, 9, 9, 8, 10, 9, 10, 8, 8, 10, 10, 9, 10, 10, 8, 8, 10, 10, 9, 11, 10, 11, 8, 8, 10, 8, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 8, 9, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 11, 10, 11, 9, 10, 10, 10, 9, 10, 10, 9, 9, 10, 9, 7, 8, 9, 8, 8, 10, 13, 12, 13, 11, 12, 12, 12, 10, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 5, 7, 7, 7, 7, 7, 4, 6, 6, 6, 5, 6, 6, 4, 3, 3, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 9, 10, 7, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 8, 4, 4, 6, 6, 7, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 7, 8, 8, 9, 7, 7, 7, 11, 11, 10, 10, 12, 13, 12, 13, 12, 12, 13, 16, 16, 14, 16, 16, 8, 8, 12, 12, 11, 13, 13, 10, 10, 12, 13, 12, 13, 12, 12, 13, 15, 15, 15, 14, 15, 12, 8, 8, 10, 10, 11, 11, 7, 7, 8, 8, 8, 12, 12, 11, 11, 13, 14, 13, 14, 13, 13, 14, 17, 17, 15, 17, 17, 9, 9, 13, 13, 12, 14, 14, 11, 11, 13, 14, 13, 14, 13, 13, 14, 16, 16, 16, 15, 16, 13, 9, 9, 11, 11, 13, 14, 13, 14, 14, 14, 13, 13, 15, 15, 14, 15, 13, 6, 6, 8, 8, 9, 4, 4, 7, 8, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 8, 7, 4, 4, 7, 8, 8, 8, 7, 8, 7, 7, 8, 9, 7, 7, 8, 10, 10, 10, 10, 4, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 1, 1, 0, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 5, 5, 0, 0, 1, 2, 5, 5, 0, 0, 0, 0, 0, 6, 6, 0, 0, 1, 2, 6, 6, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 0, 7, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 3, 2, 2, 1, 1, 0, 0, 5, 0, 2, 2, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 1, 1, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 1, 1, 1, 1, 2, 2, 0, 0, 0, 5, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 2, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 2, 3, 3, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 1, 3, 3, 0, 0, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 3, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 5, 5, 0, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 1, 2, 4, 4, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 37920, 32, 1199, 1188, 3082, 203, 1070, 37920, 32, 104, 36, 1188, 9042, 12067, 203, 823, 18582, 26, 3694, 12067, 711, 284, 665, 43407, 26, 784, 30, 46474, 711, 291, 3082, 32, 1297, 81, 1274, 463, 17245, 81, 1935, 81, 7632, 1935, 370, 308, 324, 2726, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 24174, 4457, 81, 678, 47, 1815, 3662, 324, 2726, 8262, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 32, 13343, 24174, 1536, 47, 35, 30, 372, 47, 494, 710, 2393, 32, 1240, 2188, 744, 47, 1815, 30, 11771, 47, 1815, 3662, 324, 2726, 2888, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1449, 81, 1322, 47, 35, 36, 42, 30, 3082, 81, 1055, 47, 1815, 3662, 324, 2726, 6250, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1449, 81, 1322, 47, 35, 36, 42, 30, 11771, 47, 1815, 3662, 324, 2726, 916, 81, 1436, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 10215, 24174, 1693, 47, 1815, 30, 11771, 47, 1815, 3662, 324, 2726, 4524, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 24174, 2837, 81, 2174, 81, 669, 47, 1815, 30, 11771, 47, 1815, 3662, 324, 2726, 10454, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 36172, 24174, 2837, 81, 2174, 47, 1815, 30, 11771, 47, 1815, 3662, 324, 2726, 7632, 81, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1449, 81, 1322, 47, 36, 39, 39, 30, 3082, 81, 1055, 47, 1815, 3662, 324, 2726, 452, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1536, 1057, 1772, 784, 370, 1769, 81, 1322, 47, 40, 38, 3662, 291, 9658, 291, 3082, 32, 2714, 81, 1297, 81, 7295, 463, 17245, 81, 1935, 370, 2107, 13018, 4477, 3490, 291, 3082, 32, 1297, 81, 1274, 463, 17245, 81, 1935, 81, 2215, 541, 370, 308, 324, 2726, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 4741, 1176, 24174, 4457, 81, 678, 47, 1815, 3662, 324, 2726, 1935, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1449, 81, 1322, 47, 36, 39, 39, 30, 3082, 81, 1055, 47, 1815, 3662, 324, 2726, 7632, 81, 314, 370, 630, 32, 18533, 463, 11025, 32, 1199, 32, 3378, 32, 4151, 32, 16357, 24174, 1449, 81, 1322, 47, 36, 39, 39, 30, 3082, 81, 1055, 47, 1815, 3662, 291, 9658, 291, 3082, 32, 2714, 81, 1297, 81, 7295, 463, 17245, 81, 1935, 370, 2107, 5482, 541, 3490, 291, 3082, 32, 1297, 81, 5665, 463, 17245, 81, 1935, 81, 2215, 541, 370, 2107, 1935, 370, 330, 7632, 81, 314, 3490, 284, 665, 24382, 26, 784, 30, 46474, 711, 291, 3082, 32, 2560, 81, 5665, 463, 17245, 81, 1935, 81, 2215, 541, 370, 2107, 1935 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 1, 1, 3, 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, 7, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 13, 11, 11, 12, 14, 13, 15, 15, 15, 15, 11, 12, 13, 11, 11, 12, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 13, 13, 11, 11, 13, 13, 12, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 13, 13, 11, 11, 12, 13, 11, 8, 8, 11, 11, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 13, 11, 11, 12, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 12, 13, 11, 11, 12, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 11, 11, 12, 13, 11, 8, 8, 11, 11, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 13, 13, 11, 11, 13, 13, 12, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 12, 14, 14, 14, 11, 13, 13, 12, 13, 13, 11, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 7, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 11, 8, 8, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 13, 13, 11, 11, 13, 13, 12, 13, 11, 8, 8, 11, 11, 11, 11, 9, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 12, 13, 13, 13, 11, 11, 13, 13, 12, 13, 11, 8, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 7, 10, 10, 10, 4, 4, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10, 10, 8, 10, 10, 10, 10, 2, 2, 3, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 7, 10 ]
[ 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 3, 3, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 3, 0, 2, 1, 1, 1, 2, 1, 5, 2, 1, 1, 7, 2, 1, 3, 3, 1, 2, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 3, 3, 1, 2, 7, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 3, 2, 1, 3, 3, 1, 1, 1, 2, 9, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 1, 2, 11, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 1, 2, 13, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 3, 2, 1, 3, 3, 1, 1, 1, 2, 15, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 3, 3, 1, 2, 17, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 1, 3, 3, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 3, 3, 1, 2, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 3, 3, 1, 1, 1, 2, 5, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 2, 1, 3, 3, 4, 4, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1 ]
[ 465, 345, 39, 203, 1070, 345, 39, 32, 5740, 1188, 319, 203, 1981, 81, 4485, 81, 1473, 440, 25019, 5142, 657, 203, 1981, 81, 4485, 81, 1473, 440, 21221, 8536, 657, 203, 6281, 280, 39478, 5142, 26, 1163, 81, 761, 280, 313, 4882, 33, 10587, 33, 277, 33, 41, 34, 32, 102, 2518, 33, 102, 2518, 31, 6656, 31, 1835, 32, 4687, 657, 203, 2946, 280, 1171, 26, 6281, 280, 10895, 30, 26571, 1835, 280, 7155, 5017, 1026, 400, 28361, 352, 280, 12495, 331, 42263, 5990, 26, 1644, 280, 225, 35, 40, 471, 400, 21339, 81, 4116, 280, 34973, 11396, 5041, 26, 9100, 280, 330, 35, 11809, 108, 2847, 203, 2946, 32, 8231, 280, 2764, 95, 8536, 26, 5707, 81, 761, 280, 313, 8231, 32, 1753, 85, 32, 6680, 657, 203, 2946, 32, 6281, 32, 625, 280, 2664, 32, 8231, 32, 20518, 203, 2946, 32, 8231, 32, 2590, 280, 2664, 32, 32663, 352, 32, 20518, 203, 2946, 32, 2946, 81, 625, 280, 2664, 32, 32663, 352, 32, 20518, 203, 2946, 32, 22542, 1835, 32, 625, 280, 2664, 32, 32663, 352, 32, 2590, 203, 2388, 280, 14741, 26, 2620, 81, 2946, 280, 3177, 30, 2664, 280, 2664, 27, 203, 2388, 32, 2946, 32, 1835, 81, 2816, 280, 330, 23936, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 3, 3, 3, 3, 3, 3, 5, 5, 5, 0, 3, 3, 3, 3, 3, 3, 5, 5, 5, 0, 3, 2, 2, 4, 4, 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, 0, 3, 2, 2, 4, 6, 5, 5, 4, 4, 6, 5, 5, 7, 7, 4, 4, 6, 5, 5, 7, 7, 7, 7, 9, 8, 8, 9, 9, 7, 4, 4, 6, 6, 5, 5, 7, 7, 7, 9, 8, 8, 10, 10, 10, 10, 0, 4, 3, 4, 2, 2, 4, 4, 4, 6, 6, 6, 5, 5, 7, 7, 7, 7, 7, 7, 7, 0, 5, 4, 5, 3, 4, 2, 2, 4, 5, 3, 4, 0, 5, 4, 5, 3, 4, 2, 2, 4, 5, 5, 3, 4, 0, 4, 3, 4, 4, 4, 2, 2, 4, 5, 5, 3, 4, 0, 5, 4, 5, 5, 3, 4, 2, 2, 4, 5, 5, 3, 4, 0, 3, 2, 2, 4, 6, 6, 6, 5, 5, 4, 4, 5, 5, 4, 0, 5, 4, 5, 3, 4, 4, 4, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 3, 3, 0, 1, 1, 1, 0, 5, 5, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 7, 7, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 0, 2, 0, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1628, 2613, 203, 1070, 9366, 3763, 1188, 21414, 30, 9366, 1097, 30, 6906, 23162, 8511, 203, 1070, 2194, 9610, 1188, 2194, 43430, 30, 1930, 81, 1473, 3242, 1094, 203, 589, 9781, 9610, 26, 2388, 30, 296, 668, 47, 2521, 30, 15318, 47, 2521, 30, 2663, 47, 2521, 711, 284, 415, 2663, 438, 1665, 44, 291, 645, 41879, 1146, 1188, 9041, 2649, 291, 2663, 280, 9041, 2649, 26, 2388, 27, 284, 2197, 280, 6906, 23162, 8511, 26, 1393, 30, 7481, 347, 4894, 392, 8839, 33266, 47, 34, 27, 284, 2197, 32, 1744, 32, 2423, 26, 8931, 47, 35, 30, 5318, 347, 16361, 657, 284, 1623, 280, 9781, 43430, 26, 88, 668, 30, 15318, 27, 284, 1541, 280, 21414, 26, 545, 32, 8031, 30, 1665, 30, 1623, 27, 284, 1541, 32, 8931, 346, 203, 823, 9781, 43430, 26, 43430, 711, 284, 665, 1156, 1664, 3207, 784, 30, 296, 668, 47, 2521, 30, 15318, 47, 2521, 711, 291, 630, 32, 88, 668, 280, 296, 668, 291, 630, 32, 3034, 280, 630, 32, 371, 81, 3034, 26, 7163, 27, 291, 630, 32, 878, 280, 630, 32, 371, 81, 3893, 346, 284, 665, 622, 81, 3034, 26, 784, 30, 15318, 711, 291, 415, 15318, 438, 1665, 44, 324, 15318, 280, 5237, 32, 2135, 81, 35382, 291, 4138, 280, 1605, 291, 415, 15318, 461, 15318, 32, 7163, 81, 1744, 438, 1665, 44, 324, 15318, 280, 15318, 32, 7163, 81, 1978, 291, 2218, 15318, 438, 646, 1665, 44, 324, 4138, 32, 1689, 1162, 7163, 32, 7163, 81, 1744, 30, 15318, 32, 7163, 81, 12300, 490, 324, 15318, 280, 15318, 32, 7163, 81, 1978, 291, 442, 4138, 284, 665, 622, 81, 3893, 26, 784, 711, 291, 827, 280, 5237, 32, 2135, 81, 681, 291, 786, 280, 5237, 32, 2135, 81, 853, 291, 415, 19326, 26, 681, 30, 9602, 426, 505, 10280, 324, 827, 280, 827, 3667, 426, 505, 291, 309, 280, 596, 26, 681, 27, 291, 415, 786, 438, 646, 1665, 44, 324, 309, 280, 309, 474, 10685, 313, 474, 596, 26, 853, 27, 291, 442, 309, 284, 665, 1390, 1031, 26, 784, 711, 291, 442, 630, 32, 878, 284, 665, 1390, 1721, 720, 26, 784, 711, 291, 1361, 668, 280, 1605, 291, 436, 3099, 328, 630, 32, 3034, 44, 324, 1623, 280, 7181, 43430, 26, 1338, 30, 630, 32, 88, 668, 27, 324, 1361, 668, 32, 1689, 26, 1094, 27, 291, 442, 1361, 668, 203, 823, 7181, 43430, 26, 43430, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3099, 30, 296, 668, 711, 291, 630, 32, 1338, 280, 3099, 291, 630, 32, 88, 668, 280, 296, 668, 284, 665, 1390, 1031, 26, 784, 711, 291, 3118, 30, 39997, 280, 630, 32, 1338, 291, 1596, 44, 324, 2047, 426, 280, 3118, 32, 88, 81, 19981, 1365, 505, 426, 505, 1446, 291, 2940, 44, 324, 2047, 426, 280, 313, 12791, 291, 1340, 280, 3118, 32, 88, 81, 687, 291, 4870, 280, 1340, 32, 331, 81, 3607, 291, 3420, 426, 280, 1340, 32, 331, 81, 426, 291, 309, 515, 3308, 482, 280, 1628, 2613, 32 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 3, 2, 2, 4, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 2, 1, 1, 3, 4, 4, 3, 3, 3, 5, 7, 5, 5, 7, 4, 4, 6, 6, 8, 8, 9, 8, 2, 2, 4, 4, 6, 6, 6, 7, 6, 6, 7, 9, 9, 6, 8, 7, 8, 6, 2, 2, 6, 7, 5, 6, 5, 7, 6, 7, 5, 5, 6, 8, 8, 2, 2, 4, 4, 6, 6, 7, 7, 6, 6, 6, 2, 2, 4, 4, 6, 8, 7, 8, 6, 6, 6, 6, 6, 2, 2, 5, 6, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 7, 8, 8, 6, 6, 7, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 9, 8, 4, 4, 7, 8, 6, 6, 8, 9, 9, 9, 8, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 6, 6, 5, 5, 5, 8, 8, 9, 10, 10, 10, 4, 4, 6, 6, 4, 4, 5, 6, 6, 8, 9, 9, 9, 7, 7, 5, 5, 5, 8, 8, 9, 10, 10, 10, 4, 4, 5, 6, 6, 6, 5, 5, 5, 9, 10, 9, 12, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 6, 6, 8, 8, 9, 10, 10, 10, 4, 4, 5, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 8, 8, 8, 4, 4, 5, 7, 8, 7, 7, 9, 9, 9, 5, 5, 8, 8, 9, 10, 10, 4, 4, 6, 6, 8, 9, 8, 4, 4, 5, 6, 6, 6, 5, 5, 5, 8, 8, 10, 10, 12, 9, 9, 11, 12, 11, 4, 4, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 6, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 7, 6, 6, 4, 4, 5, 5, 5, 6, 7, 5, 5, 5, 8, 8, 10, 10, 11, 10, 10, 11, 12, 12, 10, 6, 6, 10, 9, 10, 9, 10, 9, 4, 4, 5, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 7, 8, 4, 4, 5, 5, 5, 9, 8, 8, 10, 11, 11, 11, 9, 11, 11, 11, 11, 5, 5, 6, 6, 6, 10, 9, 9, 11, 4, 4, 6, 6, 7, 8, 8, 8, 4, 4, 6, 6, 7, 8, 8, 8, 4, 4, 7, 6, 6, 7, 8, 8, 8, 4, 4, 7, 7, 7, 6, 6, 9, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 2, 1, 2, 2, 0, 3, 2, 2, 2, 5, 2, 2, 2, 7, 2, 2, 5, 5, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 3, 1, 2, 1, 0, 5, 2, 1, 4, 4, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 6, 6, 1, 2, 1, 2, 6, 6, 0, 1, 1, 1, 2, 2, 0, 3, 2, 2, 2, 5, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 4, 4, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 3, 1, 1, 1, 3, 3, 3, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 3, 2, 2, 2, 1, 3, 3, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 4, 4, 4, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 4, 4, 5, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 4, 4, 0, 0, 0, 4, 4, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 2, 2, 1, 5, 5, 0, 0, 2, 1, 1, 1, 4, 4, 2, 1, 0, 7, 7, 1, 2, 1, 2, 7, 7, 0, 1, 1, 1, 2, 2, 2, 2, 5, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 3, 3, 3, 0, 0, 0, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 465, 11259, 203, 465, 5741, 203, 465, 1133, 203, 1070, 2601, 381, 1188, 2322, 30, 617, 9941, 81, 5460, 203, 1070, 2601, 381, 32, 3893, 1188, 8437, 381, 984, 203, 1070, 2601, 381, 32, 22742, 1188, 617, 203, 1070, 2601, 381, 32, 2024, 1188, 516, 2301, 203, 1070, 2601, 381, 32, 1040, 1188, 21010, 761, 30, 5070, 1094, 1872, 81, 2649, 203, 589, 1159, 81, 20426, 81, 6921, 2262, 203, 202, 1581, 30, 17120, 280, 11259, 32, 371, 1536, 6921, 346, 203, 202, 325, 7275, 438, 646, 1665, 44, 357, 202, 1581, 280, 7275, 32, 5729, 346, 357, 202, 1581, 280, 7275, 32, 2998, 14728, 370, 225, 35, 5594, 34, 79, 203, 202, 601, 7275, 438, 1665, 556, 7275, 328, 2726, 85, 370, 330, 272, 683, 203, 589, 1412, 13646, 26, 6360, 711, 203, 202, 4215, 280, 629, 26, 6360, 27, 203, 202, 39912, 280, 225, 34, 203, 202, 6124, 280, 225, 34, 203, 202, 90, 3666, 280, 225, 34, 203, 202, 24420, 280, 225, 34, 203, 202, 541, 280, 1605, 203, 202, 325, 8382, 848, 225, 40, 34, 44, 357, 202, 39912, 280, 8382, 434, 225, 40, 34, 357, 202, 4215, 280, 8382, 904, 225, 40, 34, 203, 202, 325, 34964, 848, 225, 40, 34, 44, 357, 202, 90, 3666, 280, 34964, 434, 225, 40, 34, 357, 202, 39912, 280, 34964, 904, 225, 40, 34, 203, 202, 325, 420, 3666, 848, 225, 36, 38, 44, 357, 202, 6124, 280, 420, 3666, 434, 225, 36, 38, 357, 202, 90, 3666, 280, 420, 3666, 904, 225, 36, 38, 203, 202, 325, 6935, 848, 225, 37, 40, 39, 44, 357, 202, 24420, 280, 6935, 434, 225, 37, 40, 39, 357, 202, 6124, 280, 6935, 904, 225, 37, 40, 39, 203, 202, 325, 11274, 44, 357, 202, 541, 32, 1689, 4912, 7032, 313, 904, 11274, 27, 203, 202, 325, 6935, 44, 357, 202, 541, 32, 1689, 4912, 583, 313, 904, 6935, 27, 203, 202, 325, 420, 3666, 44, 357, 202, 541, 32, 1689, 4912, 11503, 313, 904, 420, 3666, 27, 203, 202, 325, 34964, 44, 357, 202, 541, 32, 1689, 4912, 6521, 313, 904, 34964, 27, 203, 202, 325, 8382, 44, 357, 202, 541, 32, 1689, 4912, 3210, 313, 904, 8382, 27, 203, 202, 601, 34873, 2524, 26, 541, 547, 7201, 346, 203, 589, 3610, 81, 3242, 81, 5561, 81, 8447, 26, 625, 1515, 30, 4070, 711, 203, 202, 16705, 1003, 280, 1133, 32, 1003, 346, 203, 202, 1536, 81, 9762, 2425, 1119, 280, 225, 37, 34, 203, 202, 5561, 81, 761, 280, 2322, 32, 983, 32, 2524, 26, 625, 1515, 30, 313, 4519, 33, 5561, 32, 106, 657, 203, 202, 1270, 44, 357, 202, 2135, 5207, 280, 21010, 761, 26, 5561, 81, 761, 27, 203, 202, 7343, 8437, 381, 984, 44, 357, 202, 601, 3177, 203, 202, 325, 646, 2401, 5207, 44, 357, 202, 601, 3177, 203, 202, 2135, 5207, 280, 2401, 5207, 77, 34, 997, 2998, 346, 203, 202, 325, 646, 2401, 5207, 44, 357, 202, 601, 3177, 203, 202, 1270, 44, 357, 202, 2135, 5207 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 6, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 3, 4, 4, 4, 3, 3, 3, 7, 6, 6, 8, 9, 8, 4, 4, 7, 6, 6, 9, 10, 9, 11, 9, 10, 9, 8, 7, 2, 2, 3, 3, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 7, 6, 2, 2, 5, 4, 4, 5, 2, 2, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 4, 4, 5, 2, 2, 5, 4, 4, 2, 2, 3, 3, 4, 4, 5, 5, 3, 3, 3, 7, 6, 6, 7, 7, 8, 8, 4, 4, 7, 6, 6, 7, 7, 8, 8, 2, 2, 3, 3, 4, 4, 5, 5, 3, 3, 3, 7, 7, 6, 6, 7, 7, 8, 8, 4, 4, 7, 6, 6, 7, 7, 8, 8, 2, 2, 3, 3, 5, 4, 4, 5, 5, 3, 3, 3, 7, 6, 6, 8, 7, 7, 8, 8, 4, 4, 7, 7, 6, 6, 8, 7, 7, 8, 8, 2, 2, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 7, 6, 6, 7, 7, 8, 8, 8, 4, 4, 7, 6, 6, 7, 7, 8, 8, 8, 2, 2, 3, 3, 3, 3, 3, 8, 7, 8, 7, 10, 10, 8, 8, 7, 2, 2, 3, 3, 3, 3, 3, 8, 7, 8, 7, 10, 10, 8, 8, 7, 2, 2, 3, 3, 4, 3, 3, 3, 8, 7, 8, 7, 10, 10, 8, 8, 9, 7, 2, 2, 3, 3, 3, 3, 3, 8, 7, 8, 7, 10, 10, 8, 8, 7, 2, 2, 3, 3, 3, 3, 3, 8, 7, 8, 7, 10, 10, 8, 8, 7, 2, 2, 3, 3, 8, 7, 8, 7, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 5, 5, 4, 4, 6, 7, 6, 2, 2, 5, 5, 5, 5, 5, 4, 4, 5, 5, 2, 2, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 6, 6, 8, 8, 8, 8, 8, 8, 2, 2, 3, 3, 3, 3, 7, 7, 6, 6, 8, 8, 9, 9, 9, 8, 3, 3, 4, 4, 5, 5, 4, 4, 4, 6, 6, 2, 2, 3, 3, 4, 5, 3, 3, 3, 5, 5, 2, 2, 5, 5, 4, 4, 8, 7, 8, 7, 7, 6, 2, 2, 3, 3, 4, 5, 3, 3, 3, 5, 5, 2, 2, 3, 3, 3, 3, 7, 7 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 6, 6, 0, 1, 2, 6, 6, 0, 7, 7, 0, 1, 2, 7, 7, 0, 0, 8, 8, 0, 1, 2, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 9, 9, 1, 1, 1, 1, 2, 9, 9, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 0, 2, 1, 2, 1, 3, 1, 2, 2, 4, 4, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 10, 10, 1, 2, 1, 2, 10, 10, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 0, 4, 4, 6, 6, 1, 1, 2, 2, 6, 6, 6, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 4, 4, 7, 7, 1, 1, 2, 2, 7, 7, 7, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 4, 4, 8, 8, 0, 1, 1, 2, 2, 8, 8, 8, 0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 9, 9, 1, 1, 2, 2, 2, 9, 9, 9, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 10, 10, 10, 10, 10, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 11, 11, 11, 11, 11, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 12, 12, 1, 12, 12, 12, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 4, 4, 13, 13, 13, 13, 13, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 14, 14, 14, 14, 14, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 15, 15, 2, 1, 1, 1, 2, 1, 0, 11, 11, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 11, 11, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 0, 4, 4, 4, 4, 1, 1, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 6, 6, 1, 1, 6, 6, 6, 0, 0, 4, 4, 7, 7, 7, 7, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 316, 203, 1070, 638, 2282, 1188, 12437, 16653, 203, 823, 5477, 279, 35, 37, 573, 3989, 26, 1120, 16653, 711, 284, 617, 5915, 81, 2413, 280, 540, 28249, 525, 555, 18470, 1499, 8169, 6505, 35, 37, 8169, 573, 13824, 2805, 12456, 8172, 21, 6155, 4242, 8088, 49, 66, 46, 314, 8828, 80, 8172, 21, 6155, 9905, 284, 617, 3765, 280, 301, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 35, 37, 32, 573, 33, 102, 35, 37, 33, 96, 37994, 33, 342, 31, 11881, 7269, 31, 286, 31, 90, 2487, 290, 31, 286, 31, 11580, 2542, 274, 31, 84, 896, 730, 31, 272, 31, 11192, 31, 1582, 575, 97, 31, 83, 31, 3075, 31, 1211, 13721, 370, 291, 330, 954, 39, 950, 330, 38, 2500, 35, 1919, 37, 42, 17586, 339, 42, 28790, 42, 42, 38, 42, 41, 83, 34, 41, 42, 42, 37, 35, 41, 39, 39, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 35, 38, 34, 37, 34, 36, 36, 35, 36, 39, 370, 324, 330, 2751, 81, 314, 950, 330, 342, 31, 11881, 7269, 31, 286, 31, 90, 2487, 290, 31, 286, 31, 11580, 2542, 274, 31, 84, 896, 730, 31, 272, 31, 11192, 31, 1582, 575, 97, 31, 83, 31, 3075, 31, 1211, 13721, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 5448, 313, 85, 1999, 899, 7269, 409, 37328, 290, 20, 409, 488, 295, 2542, 274, 551, 896, 730, 931, 7322, 2834, 575, 97, 312, 10680, 5903, 13721, 370, 324, 330, 2310, 950, 15584, 56, 2618, 44, 8170, 9820, 632, 1347, 27, 2556, 31970, 587, 343, 44592, 18741, 30, 488, 295, 2542, 274, 551, 896, 730, 13082, 312, 619, 378, 476, 7611, 7476, 22887, 29866, 10471, 9952, 4840, 83, 409, 2317, 19802, 7571, 84, 9491, 32, 6110, 268, 312, 28386, 9403, 2492, 2317, 312, 980, 83, 10657, 282, 9022, 26435, 6346, 302, 2492, 408, 7081, 20335, 533, 337, 10725, 2492, 408, 457, 12853, 278, 931, 7322, 1663, 26309, 409, 8906, 271, 17309, 18741, 38965, 3374, 500, 6418, 291, 320, 284, 320, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 711, 291, 345, 2067, 280, 316, 32, 2872, 26, 784, 1114, 5915, 81, 2413, 30, 1984, 27, 291, 2503, 81, 314, 280, 345, 2067, 32, 1363, 463, 314, 683, 291, 41164, 280, 630, 1114, 4984, 81, 1840, 1637, 26, 965, 30, 2503, 81, 314, 27, 291, 1780, 280, 630, 1114, 916, 81, 1903, 81, 2859, 26, 324, 330, 7625, 44, 1311, 370, 41164, 30, 330, 1311, 370, 26250, 47, 1815, 27, 291, 3048, 280, 630, 1114, 916, 81, 1903, 81, 2859, 26, 324, 330, 7625, 44, 2310, 370, 41164, 30, 330, 2310, 683, 291, 1984, 280, 630, 1114, 916, 81, 1903, 81, 7920, 26, 324, 540, 25, 502, 20181, 6076, 280, 4034, 29548, 10228, 1492, 370, 41164, 30, 330, 965, 683, 291, 4011, 81, 314, 280, 630, 1114, 1903, 81, 7920, 26, 324, 540, 25, 12456, 34, 31, 43, 729, 77, 34, 31 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 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, 2, 2, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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, 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, 8, 8, 6, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 7, 7, 7, 7, 5, 2, 2, 3, 3, 4, 4, 4, 4, 5, 4, 3, 3, 3, 3, 7, 7, 9, 8, 9, 8, 9, 10, 10, 10, 10, 10, 4, 7, 7, 7, 7, 7, 6, 6, 9, 9, 9, 9, 4, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 7, 6, 6, 9, 8, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 9, 9, 9, 8, 10, 8, 8, 10, 10, 4, 7, 7, 6, 6, 9, 8, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 9, 9, 9, 10, 10, 4, 4, 4, 6, 6, 9, 8, 9, 9, 9, 9, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 8, 4, 4, 4, 7, 7, 6, 6, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 1, 1, 2, 2, 2, 1, 2, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1 ]
[ 465, 15798, 203, 1070, 26015, 1188, 319, 203, 1070, 26015, 32, 858, 1188, 1849, 81, 7010, 203, 1070, 1671, 1188, 11648, 891, 203, 465, 617, 858, 85, 1237, 203, 823, 3725, 4820, 1006, 26, 18986, 32, 7233, 711, 284, 665, 894, 81, 39288, 26, 784, 711, 291, 443, 1593, 26, 8634, 711, 324, 617, 4151, 81, 280, 428, 440, 83, 392, 281, 81, 410, 2177, 291, 443, 1410, 26, 74, 711, 324, 617, 4151, 81, 280, 428, 440, 84, 392, 281, 81, 410, 2177, 291, 443, 2523, 26, 74, 711, 324, 3097, 291, 630, 32, 5299, 26, 7545, 26, 74, 471, 3744, 26, 85, 81, 410, 490, 291, 630, 32, 5299, 26, 7545, 26, 75, 471, 3744, 26, 85, 81, 410, 4586, 36, 27, 291, 630, 32, 5299, 26, 7545, 26, 76, 471, 3744, 26, 85, 81, 410, 490, 291, 630, 32, 5299, 26, 74, 1114, 4151, 3739, 428, 440, 83, 392, 281, 81, 410, 14829, 291, 630, 32, 5299, 26, 75, 1114, 4151, 3739, 428, 440, 84, 392, 281, 81, 410, 14829, 291, 630, 32, 5299, 26, 76, 1114, 4151, 3739, 428, 440, 83, 392, 281, 81, 410, 14829, 284, 665, 894, 81, 39288, 81, 31890, 26, 784, 711, 291, 443, 1593, 26, 8634, 711, 324, 3097, 291, 630, 32, 5299, 26, 7545, 26, 74, 471, 225, 34, 27, 291, 1593, 1114, 4151, 81, 280, 428, 440, 83, 392, 281, 81, 410, 2177, 291, 443, 1410, 26, 74, 711, 324, 3097, 291, 630, 32, 5299, 26, 7545, 26, 75, 471, 3744, 26, 74, 490, 291, 1410, 1114, 4151, 81, 280, 428, 440, 84, 392, 281, 81, 410, 2177, 291, 443, 2523, 26, 74, 711, 324, 3097, 291, 630, 32, 5299, 26, 7545, 26, 74, 471, 3744, 26, 85, 81, 410, 490, 291, 630, 32, 5299, 26, 7545, 26, 75, 471, 3744, 26, 85, 81, 410, 4586, 36, 27, 291, 630, 32, 5299, 26, 7545, 26, 76, 471, 3744, 26, 85, 81, 410, 490, 291, 630, 32, 5299, 26, 74, 1114, 4151, 3739, 428, 440, 83, 392, 281, 81, 410, 14829, 291, 630, 32, 5299, 26, 75, 1114, 4151, 3739, 428, 440, 84, 392, 281, 81, 410, 14829, 291, 630, 32, 5299, 26, 76, 1114, 4151, 3739, 428, 440, 83, 392, 281, 81, 410, 14829, 203, 823, 19247, 7233, 26, 18986, 32, 7233, 711, 284, 15477, 280, 3447, 85, 563, 281, 81, 1594, 30, 3083, 313, 84, 563, 281, 81, 2263, 30, 3083, 313, 52, 563, 281, 81, 37928, 30, 3083, 313, 90, 563, 281, 81, 4021, 30, 3083, 313, 58, 563, 281, 81, 17470, 30, 3083, 313, 91, 563, 281, 81, 410, 30, 3083, 313, 59, 563, 281, 81, 1774, 30, 3083, 313, 94, 563, 281, 81, 3222, 30, 3083, 313, 62, 563, 281, 81, 15473, 30, 3083, 313, 99, 563, 281, 81, 3222, 3222, 30, 3083, 313, 67, 563, 281, 81, 15473, 3222, 30, 3083, 313, 88, 563, 281, 81, 1808, 30, 3083, 313, 86, 563, 281, 81, 2627, 30, 3083, 320, 284, 665, 894, 81, 6656, 81, 34039, 26, 784, 711, 291, 436, 1340, 30, 12867, 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, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 6, 5, 5, 9, 9, 8, 8, 10, 12, 12, 10, 11, 11, 10, 4, 4, 5, 6, 7, 6, 5, 5, 9, 9, 8, 8, 10, 12, 12, 10, 11, 11, 10, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 10, 11, 11, 11, 10, 9, 7, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 9, 11, 11, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 9, 11, 11, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 9, 11, 11, 9, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 7, 6, 5, 5, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 8, 7, 4, 4, 7, 8, 8, 6, 6, 8, 10, 10, 8, 9, 9, 8, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 10, 9, 4, 4, 7, 8, 8, 6, 6, 8, 10, 10, 8, 9, 9, 8, 4, 4, 5, 6, 7, 6, 5, 5, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 10, 11, 11, 11, 10, 9, 7, 4, 4, 7, 8, 7, 9, 9, 10, 9, 7, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 9, 11, 11, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 9, 11, 11, 9, 10, 10, 9, 4, 4, 7, 8, 7, 9, 8, 9, 9, 7, 9, 11, 11, 9, 10, 10, 9, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 4, 4, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 8, 8, 6, 7, 7, 5, 5, 5, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 6, 6, 5, 5, 8 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 3, 3, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 3, 3, 1, 4, 4, 2, 2, 1, 2, 2, 2, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 0, 0, 1, 1, 2, 1, 3, 3, 1, 4, 4, 3, 2, 1, 2, 3, 3, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 2, 0, 0, 1, 1, 2, 1, 3, 3, 1, 4, 4, 6, 2, 1, 2, 6, 6, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 4, 4, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 3, 3, 1, 0, 6, 6, 1, 2, 0, 1, 2, 2, 6, 6, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 5, 2, 2, 2, 2, 2, 1, 2, 7, 2, 2, 2, 2, 2, 1, 2, 9, 2, 2, 2, 2, 2, 1, 2, 11, 2, 2, 2, 2, 2, 1, 2, 13, 2, 2, 2, 2, 2, 1, 2, 15, 2, 2, 2, 2, 2, 1, 2, 17, 2, 2, 2, 2, 2, 1, 2, 19, 2, 2, 2, 2, 2, 2, 1, 2, 21, 2, 2, 2, 2, 2, 2, 1, 2, 23, 2, 2, 2, 2, 2, 1, 2, 25, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 2676, 8886, 30, 15798, 203, 1070, 2676, 8886, 32, 2304, 1188, 2022, 102, 203, 465, 2361, 203, 1070, 13077, 32, 2304, 1188, 622, 81, 28803, 1282, 81, 4548, 30, 622, 81, 9729, 81, 363, 81, 3524, 81, 21034, 30, 622, 81, 10401, 81, 267, 203, 823, 2108, 14048, 435, 14832, 30933, 26, 18986, 32, 7233, 711, 203, 202, 589, 894, 81, 268, 331, 81, 979, 81, 19761, 26, 784, 711, 357, 202, 1840, 8886, 32, 10514, 32, 470, 81, 3264, 81, 1536, 440, 2837, 81, 47771, 81, 979, 81, 9729, 392, 225, 34, 27, 357, 202, 1131, 81, 605, 280, 428, 355, 202, 77, 39, 34, 30, 225, 35, 34, 34, 34, 30, 313, 36, 34, 35, 36, 31, 35, 36, 31, 36, 40, 392, 313, 35, 36, 44, 34, 34, 392, 225, 39, 34, 34, 34, 34, 30, 225, 38, 39, 30, 225, 38, 42, 34, 34, 34, 614, 8667, 202, 77, 39, 30, 225, 35, 34, 34, 34, 30, 313, 36, 34, 35, 36, 31, 35, 36, 31, 36, 40, 392, 313, 35, 36, 44, 34, 34, 392, 225, 39, 34, 34, 34, 30, 225, 34, 30, 225, 34, 614, 8667, 202, 77, 35, 39, 30, 225, 35, 34, 34, 34, 30, 313, 36, 34, 35, 36, 31, 35, 36, 31, 36, 40, 392, 313, 35, 36, 44, 34, 34, 392, 225, 35, 39, 34, 34, 34, 30, 225, 35, 34, 30, 225, 35, 36, 34, 34, 34, 614, 8667, 202, 77, 36, 39, 30, 225, 43, 34, 34, 30, 313, 36, 34, 35, 36, 31, 35, 36, 31, 36, 40, 392, 313, 35, 36, 44, 34, 34, 392, 225, 36, 36, 39, 34, 34, 30, 225, 36, 34, 30, 225, 36, 36, 39, 34, 34, 614, 8667, 202, 77, 36, 34, 30, 225, 39, 34, 34, 30, 313, 36, 34, 35, 36, 31, 35, 36, 31, 36, 40, 392, 313, 35, 36, 44, 34, 34, 392, 225, 35, 34, 34, 34, 34, 30, 225, 35, 39, 30, 225, 35, 42, 34, 34, 34, 614, 8667, 202, 77, 39, 34, 30, 225, 35, 34, 34, 34, 30, 313, 36, 34, 35, 37, 31, 34, 35, 31, 34, 35, 392, 313, 35, 36, 44, 34, 34, 392, 225, 39, 34, 34, 34, 34, 30, 225, 40, 39, 30, 225, 40, 42, 34, 34, 34, 614, 8667, 202, 77, 39, 30, 225, 35, 34, 34, 34, 30, 313, 36, 34, 35, 37, 31, 34, 35, 31, 34, 35, 392, 313, 35, 36, 44, 34, 34, 392, 225, 39, 34, 34, 34, 30, 225, 36, 34, 30, 225, 36, 37, 34, 34, 34, 614, 355, 202, 1365, 392, 225, 35, 34, 34, 34, 30, 313, 36, 34, 35, 36, 31, 35, 36, 31, 36, 40, 392, 313, 35, 36, 44, 34, 39, 392, 225, 35, 39, 34, 34, 34, 30, 225, 35, 34, 30, 225, 35, 36, 34, 34, 34, 614, 355, 202, 77, 36, 34, 30, 4320, 313, 36, 34, 35, 36, 31, 35, 36, 31, 36, 40, 392, 313, 35, 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, 3, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 2, 1, 1, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 9, 9, 8, 9, 7, 8, 8, 8, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 7, 4, 4, 7, 7, 7, 6, 6, 7, 7, 8, 9, 9, 8, 8, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 7, 7, 8, 9, 8, 8, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 7, 7, 8, 9, 9, 8, 8, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 7, 7, 8, 9, 9, 8, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 7, 7, 8, 9, 9, 8, 8, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 7, 7, 8, 9, 9, 8, 8, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 7, 7, 8, 9, 8, 8, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 7, 7, 8, 10, 8, 9, 9, 9, 9, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 7, 7, 8, 9, 9, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 5, 5, 1, 1, 1, 1, 2, 0, 1, 2, 2, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 9, 9, 9, 9, 9, 1, 1, 11, 11, 1, 1, 13, 13, 13, 13, 13, 1, 2, 2, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 3, 9, 9, 9, 9, 3, 3, 11, 3, 3, 13, 3, 2, 2, 5, 1, 1, 5, 5, 3, 3, 3, 3, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 5, 9, 9, 9, 9, 9, 5, 5, 11, 11, 5, 5, 13, 13, 13, 13, 13, 5, 2, 2, 7, 1, 1, 7, 7, 3, 3, 3, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 2, 7, 9, 9, 9, 9, 9, 7, 7, 11, 11, 7, 7, 13, 13, 13, 13, 13, 7, 2, 2, 9, 1, 1, 9, 9, 3, 3, 3, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 2, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 9, 9, 13, 13, 13, 13, 13, 9, 2, 2, 11, 1, 1, 11, 11, 3, 3, 3, 3, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 1, 1, 1, 1, 1, 2, 11, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 13, 13, 13, 13, 13, 11, 2, 2, 13, 1, 13, 13, 3, 3, 3, 3, 13, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 2, 13, 9, 9, 9, 9, 13, 13, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 2, 2, 15, 1, 15, 3, 3, 3, 3, 15, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 15, 1, 1, 1, 1, 1, 2, 15, 9, 9, 9, 9, 9, 15, 15, 11, 11, 15, 15, 13, 13, 13, 13, 13, 15, 2, 2, 17, 1, 1, 17, 17, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 17, 1, 1 ]
[ 465, 2322, 225, 203, 1070, 6900, 1188, 1756, 203, 1070, 622, 81, 928, 14223, 1188, 622, 1811, 14223, 203, 1070, 622, 81, 1977, 9634, 1188, 622, 2922, 652, 203, 1070, 622, 81, 2593, 6777, 1188, 622, 4397, 4109, 203, 465, 3706, 21195, 81, 8774, 203, 465, 6436, 619, 2065, 203, 1977, 9634, 280, 1605, 203, 1112, 2922, 9634, 280, 1605, 203, 1594, 885, 280, 1756, 346, 203, 8075, 280, 1605, 203, 5919, 280, 1605, 203, 4948, 31556, 280, 1605, 203, 4948, 46490, 280, 1605, 203, 4948, 6751, 280, 1605, 203, 858, 470, 81, 102, 280, 5587, 10117, 1199, 33, 2795, 35, 33, 1772, 32, 2760, 20, 203, 2593, 5419, 280, 5587, 10117, 1199, 33, 928, 501, 290, 15779, 5681, 203, 14510, 5419, 280, 5587, 10117, 1199, 33, 14510, 5681, 203, 6635, 6777, 280, 5587, 10117, 1199, 33, 10117, 267, 1199, 32, 6635, 20, 203, 3239, 39417, 280, 803, 26, 858, 470, 81, 102, 547, 33232, 346, 203, 979, 456, 328, 5683, 39417, 44, 284, 456, 280, 456, 32, 7201, 346, 284, 1459, 313, 6696, 803, 3003, 456, 284, 2738, 4397, 2976, 280, 2322, 32, 983, 32, 2524, 26, 2593, 5419, 30, 456, 32, 2998, 12605, 11968, 34, 614, 456, 77, 34, 44, 41, 1130, 284, 2738, 30158, 2976, 280, 2322, 32, 983, 32, 2524, 26, 14510, 5419, 30, 456, 32, 2998, 12605, 11968, 34, 614, 456, 77, 34, 44, 41, 1130, 284, 2738, 30158, 9140, 280, 2322, 32, 983, 32, 2524, 26, 1537, 30158, 2976, 30, 456, 474, 4939, 2760, 657, 284, 428, 1537, 2922, 652, 30, 2738, 5095, 2922, 652, 30, 2738, 2659, 885, 79, 280, 622, 2922, 652, 26, 1537, 30158, 9140, 27, 284, 1760, 9634, 32, 8233, 26, 1537, 2922, 652, 27, 284, 5592, 4109, 280, 622, 4397, 4109, 26, 1537, 4397, 2976, 30, 456, 27, 284, 1201, 2069, 26, 1537, 2922, 652, 27, 610, 2069, 26, 2593, 4109, 27, 284, 436, 5592, 558, 328, 5592, 4109, 44, 291, 8690, 6751, 32, 1689, 26, 2593, 558, 27, 291, 5592, 9140, 280, 2322, 32, 983, 32, 2524, 26, 1537, 4397, 2976, 30, 5592, 558, 27, 291, 2738, 1811, 14223, 280, 622, 1811, 14223, 26, 2593, 9140, 27, 291, 7806, 32, 8233, 26, 1537, 1811, 14223, 27, 291, 8690, 46490, 32, 1689, 26, 1657, 26, 1537, 1811, 14223, 490, 203, 8075, 7721, 280, 2065, 32, 955, 26, 8075, 27, 203, 1131, 41226, 280, 2065, 32, 6009, 26, 8075, 7721, 30, 225, 34, 27, 203, 1131, 501, 3210, 280, 2065, 32, 1530, 26, 8075, 7721, 30, 225, 34, 27, 203, 8075, 7721, 6894, 16147, 35, 79, 280, 308, 8075, 7721, 6894, 16147, 35, 79, 429, 1509, 41226, 20129, 35, 1130, 517, 1509, 501, 3210, 20129, 35, 79, 203, 8075, 280, 7806, 7721, 32, 25880, 346, 203, 1055, 280, 225, 34, 203, 761, 280, 2156, 463, 858, 32, 2760, 370, 330, 105, 895, 203, 761, 32, 1821, 26, 466, 26, 1449, 26, 4948, 46490, 490, 474, 330, 225, 330, 474, 596, 26, 1657, 26, 4948, 46490, 490, 474, 330, 261, 37, 78, 96, 683, 203, 979, 595, 328, 8690, 46490, 44, 334, 1459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 2, 2, 4, 0, 3, 2, 2, 0, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 2, 2, 6, 7, 7, 7, 7, 6, 5, 4, 0, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 6, 7, 6, 2, 2, 3, 5, 5, 5, 3, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 6, 6, 9, 10, 9, 11, 8, 7, 6, 7, 9, 8, 9, 7, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 6, 6, 9, 10, 9, 11, 8, 7, 6, 7, 9, 8, 9, 7, 2, 2, 5, 5, 4, 4, 7, 8, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 9, 9, 2, 2, 6, 6, 6, 5, 5, 6, 6, 6, 5, 5, 6, 6, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 2, 2, 6, 5, 6, 5, 6, 6, 6, 5, 2, 2, 5, 4, 4, 6, 6, 6, 7, 7, 7, 6, 6, 6, 2, 2, 3, 6, 7, 7, 7, 6, 4, 4, 6, 7, 7, 6, 2, 2, 3, 4, 3, 3, 4, 3, 3, 3, 8, 7, 8, 7, 8, 8, 7, 4, 4, 7, 6, 6, 9, 10, 8, 9, 8, 9, 9, 9, 8, 8, 9, 8, 4, 4, 7, 7, 6, 6, 8, 8, 8, 9, 9, 8, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 8, 7, 8, 7, 9, 9, 10, 10, 10, 9, 0, 3, 3, 2, 2, 4, 5, 4, 5, 4, 0, 3, 3, 2, 2, 4, 5, 4, 5, 5, 4, 4, 5, 4, 0, 3, 3, 3, 2, 2, 4, 5, 4, 5, 5, 4, 4, 5, 4, 0, 4, 4, 3, 3, 6, 3, 2, 2, 7, 7, 6, 6, 9, 6, 5, 5, 7, 6, 9, 6, 3, 3, 5, 5, 4, 7, 4, 0, 3, 2, 2, 5, 4, 5, 4, 0, 3, 2, 2, 3, 0, 3, 2, 2, 4, 6, 6, 6, 6, 4, 6, 6, 0, 4, 3, 4, 3, 8, 8, 10, 10, 11, 11, 10, 6, 6, 8, 8, 5, 5, 7, 9, 9, 10, 10, 9, 4, 4, 6, 6, 7, 7, 6, 0, 1, 1, 1, 1, 2, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 20, 20, 20, 20, 3, 20, 20, 20, 0, 0, 0, 2, 1, 5, 5, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 3, 1, 5, 0, 2, 2, 5, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 3, 1, 5, 0, 2, 2, 5, 5, 5, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 5, 5, 1, 1, 1, 0, 0, 3, 3, 3, 0, 0, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 5, 0, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 5, 5, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 9, 1, 9, 9, 3, 9, 9, 9, 0, 0, 2, 1, 1, 1, 1, 5, 5, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 3, 1, 5, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 5, 5, 0, 2, 1, 1, 1, 1, 1, 5, 5, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 30, 30, 30, 30, 3, 30, 30, 30 ]
[ 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 30, 15390, 81, 30839, 203, 465, 296, 31501, 203, 1070, 296, 31501, 32, 1935, 1188, 3240, 2200, 81, 452, 81, 2946, 81, 35312, 203, 1070, 296, 31501, 32, 2304, 1188, 622, 81, 1204, 81, 452, 81, 599, 203, 589, 5742, 2262, 203, 202, 19716, 81, 11541, 280, 1605, 203, 202, 979, 8793, 328, 2884, 42871, 367, 392, 313, 14837, 7679, 392, 313, 14996, 5830, 392, 313, 14837, 32731, 392, 4512, 202, 20, 18201, 7679, 392, 313, 18201, 902, 10955, 392, 313, 18201, 32731, 10280, 355, 202, 11541, 280, 296, 31501, 32, 1199, 32, 2602, 81, 668, 27265, 1613, 636, 645, 529, 3007, 109, 34, 5325, 12494, 202, 2767, 4871, 81, 16754, 81, 267, 280, 330, 3575, 9325, 25, 461, 415, 1693, 26, 16754, 81, 5545, 30, 225, 34, 27, 863, 225, 34, 603, 202, 363, 8844, 2377, 330, 36, 34, 35, 39, 31, 34, 36, 31, 35, 41, 25, 461, 3693, 1517, 47, 35, 47148, 1643, 26, 2632, 490, 355, 202, 325, 9212, 44, 603, 202, 11541, 280, 428, 371, 81, 1204, 81, 452, 81, 599, 26, 2632, 30, 343, 27, 436, 343, 328, 9212, 79, 603, 202, 19716, 81, 11541, 32, 1689, 2009, 2632, 30, 9212, 1130, 203, 202, 325, 6643, 81, 11541, 44, 357, 202, 1286, 280, 1524, 685, 282, 1171, 10702, 30, 203, 24348, 372, 600, 1048, 5886, 372, 46185, 24459, 544, 10860, 9325, 30, 13121, 17686, 4796, 526, 6643, 328, 322, 2412, 9212, 32, 2688, 4142, 646, 2421, 322, 13121, 5168, 6924, 3301, 561, 883, 42516, 322, 8036, 30, 1259, 996, 1326, 844, 372, 1505, 3282, 9212, 461, 3860, 416, 415, 844, 2431, 322, 17686, 6643, 32, 203, 6574, 1505, 2412, 6110, 3064, 44, 203, 23, 101, 203, 3339, 8805, 30, 203, 32222, 2993, 904, 2706, 96, 2296, 2524, 43270, 86, 77, 34, 79, 474, 10685, 313, 474, 3003, 4939, 2524, 26, 86, 77, 35, 5259, 436, 343, 328, 6643, 81, 11541, 1130, 357, 202, 1270, 44, 355, 202, 2714, 2200, 81, 452, 81, 2946, 81, 35312, 9670, 27792, 79, 428, 527, 66, 3353, 79, 29685, 17686, 4796, 526, 6643, 30, 4322, 1505, 4414, 1795, 27, 357, 202, 7343, 44, 355, 202, 4617, 357, 202, 1216, 440, 347, 28, 39, 34, 27, 357, 202, 1216, 26, 1286, 27, 357, 202, 1216, 440, 347, 28, 39, 34, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 2, 1, 1, 5, 5, 5, 4, 4, 2, 2, 3, 3, 3, 3, 6, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 7, 6, 6, 10, 9, 10, 8, 9, 9, 9, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 10, 11, 10, 4, 4, 5, 5, 5, 5, 5, 9, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 11, 11, 9, 10, 10, 10, 9, 6, 6, 10, 10, 10, 9, 10, 9, 11, 10, 10, 10, 2, 2, 3, 3, 4, 4, 3, 3, 3, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 12, 11, 10, 9, 15, 14, 15, 14, 13, 13, 15, 12, 12, 16, 15, 14, 16, 15, 16, 15, 10, 11, 11, 11, 12, 12, 10, 4, 4, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 5, 5, 6, 6, 6, 6, 8, 4, 4, 7, 7, 10, 8, 9, 9, 7, 4, 4, 7, 7, 8, 7, 4, 4, 7, 7, 10, 8, 9, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 3, 3, 0, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 2, 2, 1, 1, 2, 2, 2, 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, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 3, 3, 1, 3, 3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 0, 3, 3, 0, 1, 1, 1, 2, 2, 1, 3, 3, 0, 1, 1, 1, 3, 3, 0, 1, 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 ]
[ 465, 6436, 619, 2065, 203, 465, 12500, 32, 17449, 619, 5743, 203, 1070, 3001, 893, 32, 3792, 1188, 36129, 3767, 35591, 4859, 30, 32209, 203, 1070, 3001, 893, 1188, 706, 203, 589, 15385, 3767, 81, 41334, 81, 3792, 2262, 203, 202, 893, 280, 706, 32, 22397, 267, 4846, 346, 203, 202, 2138, 30, 14342, 280, 1778, 32, 3229, 77, 34, 614, 1778, 32, 3229, 77, 35, 79, 203, 202, 1617, 81, 8221, 280, 2065, 32, 24356, 26, 34, 30, 14342, 30, 225, 36, 34, 27, 203, 202, 1617, 81, 2138, 280, 2065, 32, 24356, 26, 34, 30, 5760, 30, 225, 35, 34, 27, 203, 202, 1617, 81, 2138, 30, 1561, 81, 8221, 280, 2065, 32, 7174, 3365, 26, 1617, 81, 2138, 30, 1561, 81, 8221, 27, 203, 202, 1617, 280, 2065, 32, 86, 3034, 2009, 1617, 81, 8221, 32, 6849, 30, 1561, 81, 2138, 32, 6849, 33192, 34, 79, 203, 202, 6298, 81, 2138, 280, 1561, 6894, 225, 35, 79, 429, 2065, 32, 7102, 26, 2356, 32, 24356, 26, 34, 30, 225, 37, 319, 2065, 32, 1295, 30, 1561, 32, 3229, 77, 34, 5259, 319, 225, 39, 34, 203, 202, 6298, 81, 8221, 280, 1561, 6894, 225, 34, 79, 203, 202, 6298, 81, 2138, 10439, 225, 35, 32, 39, 203, 202, 6298, 81, 2138, 5912, 225, 35, 32, 39, 319, 225, 39, 34, 203, 202, 6298, 280, 2065, 32, 104, 3034, 2009, 6298, 81, 8221, 30, 7112, 81, 2138, 8492, 70, 203, 202, 102, 599, 280, 36129, 3767, 35591, 4859, 346, 203, 202, 102, 599, 32, 26892, 26, 1617, 30, 7112, 27, 203, 202, 541, 81, 2138, 280, 1778, 32, 3229, 77, 34, 79, 429, 225, 35, 32, 39, 319, 225, 39, 34, 203, 202, 541, 81, 8221, 280, 14342, 203, 202, 541, 280, 32209, 26, 893, 30, 273, 599, 30, 1688, 81, 3229, 4310, 541, 81, 2138, 30, 963, 81, 8221, 490, 203, 202, 582, 30, 3327, 280, 5743, 32, 24976, 346, 203, 202, 648, 32, 23026, 26, 541, 27, 203, 202, 648, 32, 3399, 26, 102, 599, 32, 18139, 26, 1617, 27, 6894, 225, 34, 614, 273, 599, 32, 18139, 26, 1617, 27, 6894, 225, 35, 614, 5608, 84, 683, 203, 202, 648, 32, 5082, 1162, 34, 30, 963, 81, 8221, 30, 963, 81, 2138, 30, 225, 34, 490, 203, 202, 6073, 32, 2245, 346, 203, 589, 2575, 2262, 203, 202, 21930, 3767, 81, 41334, 81, 3792, 346, 203, 325, 11477, 1831, 505, 25, 610, 1156, 426, 26927, 203, 202, 1831, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 2, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 6, 5, 5, 4, 4, 7, 8, 6, 7, 6, 5, 7, 8, 6, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 6, 6, 7, 7, 6, 2, 2, 5, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 6, 6, 7, 7, 6, 2, 2, 6, 6, 6, 5, 5, 6, 6, 4, 4, 6, 7, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 2, 2, 5, 4, 4, 7, 8, 8, 7, 10, 10, 10, 9, 10, 8, 8, 10, 10, 9, 10, 8, 6, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 7, 6, 5, 5, 8, 9, 8, 11, 10, 11, 10, 11, 10, 10, 12, 11, 11, 12, 13, 10, 10, 12, 13, 11, 12, 11, 6, 6, 7, 7, 2, 2, 5, 5, 5, 4, 4, 5, 5, 6, 5, 2, 2, 5, 5, 5, 4, 4, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 6, 6, 6, 5, 5, 6, 6, 2, 2, 5, 4, 4, 7, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 8, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 6, 6, 5, 6, 5, 6, 5, 5, 5, 2, 2, 5, 5, 5, 4, 4, 7, 8, 6, 7, 6, 5, 5, 7, 7, 7, 6, 6, 7, 7, 2, 2, 5, 5, 5, 4, 4, 2, 2, 5, 4, 4, 6, 7, 6, 6, 7, 6, 6, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 8, 2, 2, 6, 5, 5, 4, 4, 6, 7, 6, 2, 2, 6, 5, 6, 5, 6, 5, 2, 2, 6, 5, 6, 5, 9, 9, 8, 9, 8, 9, 8, 6, 6, 7, 6, 5, 9, 8, 9, 8, 9, 8, 6, 6, 7, 6, 5, 7, 7, 2, 2, 6, 5, 6, 5, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 6, 2, 2, 6, 5, 6, 5, 0, 1, 1, 2, 1, 1, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 4, 4, 4, 2, 2, 3, 3, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 4, 4, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 3, 3, 2, 2, 1, 1, 0, 2, 5, 2, 5, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 4, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 1, 1, 1, 3, 1, 1, 0, 0, 5, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 1, 1, 0, 0, 2, 1, 1, 1, 3, 3, 4, 3, 1, 1, 2, 4, 4, 0, 0, 2, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 1, 4, 4, 0, 0, 2, 1, 0, 5, 5, 2, 5, 5, 0, 0, 0, 0, 0, 0, 1, 0, 6, 6, 1, 1, 2, 1, 1, 2, 2, 6, 6, 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 ]
[ 1070, 49093, 1188, 596, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 30609, 1188, 1910, 2976, 30, 1910, 2205, 30, 1910, 974, 30, 1910, 2852, 2727, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 47935, 1188, 1910, 3728, 203, 1070, 2678, 21031, 32, 4997, 9071, 32, 9071, 4711, 1188, 1910, 4711, 1104, 30, 1910, 4711, 9259, 203, 465, 2678, 21031, 203, 1070, 2678, 21031, 32, 1262, 1188, 1910, 5360, 4711, 2791, 1572, 30, 1910, 5360, 2681, 1572, 203, 1070, 638, 1707, 81, 37001, 11180, 1570, 22324, 32897, 1439, 1188, 27178, 81, 67, 5360, 4152, 30608, 29080, 3728, 1761, 203, 1070, 638, 22324, 81, 605, 1188, 3345, 2976, 30, 19921, 203, 1070, 638, 38511, 1188, 32810, 203, 823, 1910, 5360, 4152, 30608, 29080, 3728, 26, 67, 3728, 30, 27178, 81, 67, 5360, 4152, 30608, 29080, 3728, 1761, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2935, 30, 3973, 711, 291, 1910, 3728, 3667, 1664, 3207, 784, 30, 2935, 27, 291, 630, 32, 5522, 10816, 26, 784, 27, 291, 630, 32, 2796, 280, 3973, 291, 630, 32, 95, 1394, 280, 3330, 291, 630, 32, 6654, 2900, 32, 470, 3198, 26, 34, 30, 225, 34, 27, 291, 630, 32, 6654, 2900, 32, 470, 2207, 4912, 98, 23, 657, 291, 630, 32, 1172, 558, 32, 6616, 26, 2796, 1365, 426, 6890, 291, 630, 32, 1640, 1705, 32, 19663, 32, 3517, 26, 784, 32, 17862, 27, 291, 1984, 280, 1910, 2205, 26, 2796, 1365, 4984, 81, 965, 6890, 291, 11216, 280, 3973, 1365, 3607, 1446, 291, 3691, 2976, 280, 1910, 2976, 32, 1433, 1215, 346, 291, 3691, 1215, 280, 1910, 2976, 32, 6008, 1215, 26, 2868, 2976, 474, 13189, 474, 11216, 27, 291, 630, 32, 761, 280, 1910, 974, 26, 2868, 1215, 27, 291, 630, 32, 1357, 280, 1910, 4711, 1104, 26, 965, 27, 291, 3796, 4687, 280, 19921, 32, 464, 8532, 2796, 1365, 3969, 81, 6319, 1446, 11159, 2393, 4687, 1446, 291, 415, 3796, 4687, 461, 6937, 26, 2393, 4687, 30, 596, 711, 324, 415, 646, 1910, 5360, 2681, 1572, 32, 2386, 922, 1877, 4711, 1104, 26, 528, 630, 32, 1357, 30, 3796, 4687, 32, 7201, 22805, 400, 630, 32, 95, 1394, 280, 630, 32, 359, 26, 528, 313, 2333, 432, 3984, 1326, 623, 9156, 313, 528, 313, 12623, 28688, 436, 3488, 8930, 34, 8129, 1895, 1643, 26, 2393, 4687, 27, 400, 630, 32, 1357, 280, 1665, 291, 415, 630, 32, 1357, 438, 646, 1665, 44, 324, 630, 32, 8443, 280, 1910, 5360, 4711, 2791, 1572, 32, 2386, 922, 371, 26, 784, 32, 1357, 27, 324, 630, 32, 8443, 32, 4984, 5280, 32, 3517, 26, 784, 32, 850, 5280, 27, 324, 630, 32, 8443, 32, 15009, 32, 3517, 26, 784, 32, 1357, 14070, 27, 324, 630, 32, 1293, 3650, 26, 38, 27, 284, 665, 2299, 5908, 784, 711, 291, 415, 630, 32, 1357, 438, 1665, 44, 324, 442, 1910, 3728, 32, 32582, 291, 1910, 3728, 32, 2493, 5908, 784, 27, 284, 665, 1056, 26, 784, 711, 291, 442, 630, 32, 95, 1394, 284, 665, 1603, 3650, 26, 784, 30, 1603, 711, 291, 5218, 280, 428, 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, 1, 1, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 1, 1, 0, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 4, 4, 7, 8, 8, 7, 8, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 6, 6, 4, 4, 8, 9, 9, 7, 8, 8, 7, 8, 7, 7, 8, 7, 4, 4, 8, 9, 9, 7, 8, 8, 7, 9, 9, 9, 4, 4, 8, 9, 9, 7, 8, 7, 9, 8, 10, 10, 4, 4, 9, 10, 10, 8, 9, 7, 8, 7, 9, 8, 9, 7, 4, 4, 6, 6, 8, 8, 10, 9, 11, 11, 11, 11, 4, 4, 6, 6, 7, 9, 9, 4, 4, 7, 6, 6, 9, 8, 9, 9, 8, 4, 4, 7, 6, 6, 9, 8, 9, 9, 8, 11, 11, 10, 10, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 8, 9, 9, 8, 4, 4, 7, 8, 6, 6, 8, 8, 8, 9, 8, 4, 4, 7, 6, 6, 10, 11, 10, 10, 9, 11, 11, 11, 11, 8, 9, 9, 9, 4, 4, 5, 7, 6, 6, 8, 9, 9, 8, 8, 8, 5, 5, 7, 8, 13, 13, 13, 12, 13, 12, 11, 11, 11, 10, 10, 10, 11, 12, 10, 10, 13, 12, 13, 12, 7, 7, 11, 12, 12, 10, 10, 14, 15, 14, 14, 14, 17, 17, 17, 17, 17, 17, 17, 15, 15, 17, 17, 17, 17, 17, 17, 17, 17, 13, 12, 13, 13, 12, 8, 8, 11, 12, 10, 10, 4, 4, 5, 7, 8, 6, 6, 6, 5, 5, 5, 9, 10, 8, 8, 13, 13, 13, 13, 12, 13, 12, 11, 10, 12, 11, 12, 10, 6, 6, 11, 12, 10, 11, 11, 9, 10, 9, 11, 10, 11, 11, 9, 6, 6, 11, 12, 10, 11, 9, 10, 9, 11, 10, 11, 11, 9, 6, 6, 9, 10, 10, 9, 10, 9, 2, 2, 3, 4, 5, 4, 3, 3, 5, 7, 8, 6, 6, 5, 5, 5, 7, 9, 8, 9, 4, 4, 8, 7, 8, 8, 8, 7, 2, 2, 3, 4, 5, 4, 3, 3, 5, 6, 7, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 4, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 4, 2, 2, 0, 0, 3, 3, 0, 1, 2, 2, 1, 4, 4, 3, 3, 0, 0, 3, 3, 0, 0, 0, 4, 4, 0, 0, 5, 5, 0, 1, 2, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 8, 8, 0, 9, 9, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 9, 9, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 4, 4, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 2, 1, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 1, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 4, 4, 15, 0, 1, 1, 1, 1, 1, 1, 1, 1, 15, 15, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 3, 0, 2, 0, 0, 4, 4, 16, 0, 2, 1, 1, 1, 16, 16, 16, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 3, 3, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 3, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 3, 3, 0, 2, 2, 1, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 2, 2, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 0 ]
[ 1070, 31074, 1188, 14770, 203, 1070, 35381, 1188, 4361, 203, 1070, 35381, 1188, 4361, 25762, 203, 1270, 44, 284, 1188, 41879, 1146, 619, 19271, 203, 7343, 29986, 44, 284, 1188, 19271, 1146, 619, 19271, 203, 823, 1995, 26, 4692, 32, 25762, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1778, 81, 2536, 30, 816, 30, 533, 30, 7808, 711, 291, 19271, 32, 25762, 3667, 1664, 3207, 784, 27, 291, 630, 32, 10119, 37984, 2537, 29, 34917, 1643, 26, 106, 30, 533, 490, 291, 630, 32, 7843, 280, 7808, 291, 630, 32, 269, 1029, 24594, 346, 291, 630, 32, 11869, 81, 2751, 280, 19271, 32, 2168, 26, 784, 27, 291, 630, 32, 11869, 81, 2751, 32, 2423, 346, 284, 665, 2519, 81, 23531, 26, 784, 711, 291, 4791, 81, 1473, 30, 4791, 81, 426, 280, 2354, 26, 784, 32, 37171, 27, 291, 630, 32, 11869, 81, 2751, 32, 1163, 26, 893, 47, 1275, 81, 1473, 27, 291, 630, 32, 1311, 26, 1275, 81, 426, 27, 291, 630, 32, 5483, 26, 784, 32, 7843, 30, 630, 32, 2245, 81, 23531, 27, 284, 665, 24834, 24594, 26, 784, 711, 291, 630, 32, 37171, 280, 14770, 1162, 1658, 25762, 32, 12055, 1658, 26, 761, 47, 893, 471, 1778, 27, 4985, 436, 1778, 328, 1778, 81, 2536, 27, 291, 630, 32, 5483, 26, 37, 42, 39, 34, 34, 30, 630, 32, 269, 1029, 24594, 27, 284, 665, 1420, 26, 784, 711, 291, 630, 32, 1831, 5837, 346, 203, 7843, 280, 225, 37, 39, 34, 34, 203, 893, 81, 2536, 280, 428, 203, 25, 34, 34, 35, 32, 1645, 370, 203, 25, 34, 34, 36, 32, 1645, 370, 203, 25, 34, 34, 37, 32, 1645, 370, 203, 25, 34, 34, 38, 32, 1645, 370, 203, 25, 34, 34, 39, 32, 1645, 370, 203, 25, 34, 34, 40, 32, 1645, 370, 203, 25, 34, 34, 41, 32, 1645, 370, 203, 25, 34, 34, 42, 32, 1645, 370, 203, 25, 34, 34, 43, 32, 1645, 370, 203, 25, 34, 35, 34, 32, 1645, 25, 203, 79, 203, 106, 280, 225, 35, 34, 34, 203, 107, 280, 225, 39, 34, 203, 1270, 44, 284, 1123, 280, 1995, 26, 893, 81, 2536, 30, 816, 30, 533, 30, 7808, 27, 284, 1123, 32, 2245, 81, 23531, 346, 284, 1123, 32, 1945, 346, 203, 7343, 44, 284, 1459, 463, 42835, 1289, 2164, 9780, 9499, 17463, 1229, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 6, 4, 4, 1, 2, 2, 2, 2, 2, 4, 7, 5, 5, 0, 1, 1, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 8, 9, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 11, 11, 11, 10, 9, 10, 9, 9, 9, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 7, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 9, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 8, 8, 7, 7, 8, 8, 6, 6, 8, 10, 9, 10, 8, 4, 4, 8, 9, 9, 9, 7, 8, 7, 9, 8, 9, 9, 9, 7, 4, 4, 7, 8, 7, 8, 8, 8, 7, 4, 4, 7, 8, 7, 9, 8, 9, 7, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 8, 12, 12, 11, 12, 12, 11, 13, 12, 13, 11, 9, 9, 8, 8, 9, 9, 9, 10, 10, 8, 4, 4, 7, 8, 7, 8, 8, 8, 8, 8, 7, 7, 8, 9, 9, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 8, 7, 0, 3, 2, 2, 3, 3, 3, 3, 0, 3, 3, 3, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 3, 3, 0, 3, 2, 2, 3, 3, 3, 0, 3, 2, 2, 3, 3, 0, 1, 1, 1, 1, 4, 4, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 2, 2, 5, 6, 6, 6, 5, 2, 2, 5, 6, 5, 1, 2, 2, 2, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 3, 3, 3, 3, 0, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 1, 1, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 0, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 4, 4, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 4, 4, 0, 2, 1, 0, 1, 2, 1, 1, 3, 2, 2, 2, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 3, 2, 1, 2, 3, 3, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 9, 9, 9, 9, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 9, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 29551, 47291, 1188, 3089, 203, 465, 30902, 619, 4257, 203, 13411, 280, 330, 43, 38, 41, 38, 37, 36, 38, 39, 38, 36, 85, 40, 25, 203, 1746, 81, 13411, 280, 1665, 203, 6586, 81, 5919, 280, 1665, 203, 27263, 81, 267, 280, 1665, 203, 589, 10750, 2262, 284, 3089, 32, 1297, 81, 1274, 463, 35494, 370, 284, 4257, 32, 2137, 463, 314, 370, 4257, 32, 3061, 1026, 12607, 47, 2700, 471, 284, 4257, 32, 2137, 463, 1311, 370, 4257, 32, 652, 26, 1322, 47, 35, 36, 42, 471, 12607, 47, 1815, 471, 284, 4257, 32, 2137, 463, 2310, 370, 4257, 32, 14923, 1031, 1026, 12607, 47, 1815, 471, 284, 4257, 32, 18945, 9012, 463, 314, 683, 284, 829, 284, 3089, 32, 1297, 81, 1274, 463, 3317, 370, 284, 4257, 32, 2137, 463, 314, 370, 4257, 32, 3061, 1026, 12607, 47, 2700, 471, 284, 4257, 32, 2137, 463, 15072, 370, 4257, 32, 652, 26, 1322, 47, 42, 471, 12607, 47, 1815, 471, 284, 4257, 32, 2137, 463, 3317, 370, 4257, 32, 3061, 1026, 12607, 47, 1815, 471, 284, 4257, 32, 2137, 463, 2310, 370, 4257, 32, 14923, 1031, 1026, 12607, 47, 1815, 471, 284, 4257, 32, 18945, 9012, 463, 314, 683, 284, 829, 284, 3089, 32, 1297, 81, 1274, 463, 1732, 370, 284, 4257, 32, 2137, 463, 314, 370, 4257, 32, 3061, 1026, 12607, 47, 2700, 471, 284, 4257, 32, 2137, 463, 3317, 81, 314, 370, 4257, 32, 3061, 1026, 12607, 47, 1815, 471, 284, 4257, 32, 2137, 463, 2609, 81, 314, 370, 4257, 32, 652, 26, 1322, 47, 42, 471, 12607, 47, 1815, 471, 284, 4257, 32, 2137, 463, 2609, 81, 1516, 370, 4257, 32, 3061, 1026, 12607, 47, 2700, 471, 284, 4257, 32, 2137, 463, 35494, 81, 314, 370, 4257, 32, 3061, 1026, 12607, 47, 1815, 471, 284, 4257, 32, 2137, 463, 2310, 370, 4257, 32, 14923, 1031, 1026, 12607, 47, 1815, 471, 284, 4257, 32, 13343, 9012, 4901, 35494, 81, 314, 2188, 2107, 35494, 32, 314, 2188, 2588, 284, 4257, 32, 13343, 9012, 4901, 3317, 81, 314, 2188, 2107, 3317, 32, 314, 2188, 2588, 284, 4257, 32, 18945, 9012, 463, 314, 683, 284, 829, 203, 589, 2835, 4944, 2262, 284, 3089, 32, 3798, 81, 1274, 463, 1732, 683, 284, 3089, 32, 3798, 81, 1274, 463, 3317, 683, 284, 3089, 32, 3798, 81, 1274, 463, 35494, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 1, 1, 3, 1, 1, 0, 1, 1, 2, 2, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 3, 3, 3, 2, 2, 0, 1, 1, 2, 1, 1, 5, 6, 6, 6, 5, 7, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 11, 10, 11, 11, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 8, 7, 9, 9, 5, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 11, 10, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 8, 7, 9, 9, 5, 5, 2, 2, 5, 6, 6, 6, 5, 7, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 7, 9, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 7, 9, 10, 9, 11, 10, 11, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 7, 9, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 9, 9, 7, 9, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 7, 9, 9, 7, 9, 10, 10, 9, 7, 8, 9, 7, 5, 5, 7, 8, 8, 7, 10, 10, 10, 10, 7, 10, 10, 10, 10, 7, 5, 5, 7, 8, 8, 7, 10, 10, 10, 10, 7, 10, 10, 10, 10, 7, 5, 5, 7, 8, 8, 7, 9, 9, 5, 5, 0, 1, 1, 2, 2, 1, 1, 5, 6, 6, 6, 5, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 2, 2, 5, 6, 6, 6, 5, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 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, 6, 6, 2, 6, 6, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 4, 4, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 5, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 7, 7, 1, 2, 7, 7, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2680, 7167, 1188, 14580, 13976, 203, 1270, 44, 284, 1169, 203, 7343, 3270, 924, 44, 284, 665, 1169, 26, 4948, 711, 291, 436, 10313, 328, 8690, 44, 324, 415, 646, 10313, 44, 400, 442, 3177, 291, 442, 2933, 203, 823, 33953, 26, 2665, 30, 14580, 13976, 711, 284, 665, 1156, 1664, 3207, 784, 30, 319, 1132, 30, 1115, 38103, 711, 291, 415, 2069, 26, 1132, 27, 848, 225, 35, 44, 324, 3636, 12678, 463, 3140, 821, 4630, 225, 35, 4209, 30, 5424, 904, 86, 25, 904, 2069, 26, 1132, 490, 291, 1596, 44, 324, 630, 3667, 416, 291, 2940, 29316, 44, 324, 630, 32, 3815, 346, 291, 630, 32, 1877, 2740, 1132, 30, 1115, 38103, 27, 284, 665, 4233, 26, 784, 711, 291, 630, 3667, 416, 280, 943, 280, 1605, 291, 943, 1454, 428, 2521, 30, 943, 30, 943, 79, 2033, 291, 630, 3667, 1110, 280, 2149, 423, 4456, 5436, 32, 3815, 26, 784, 27, 284, 665, 1156, 470, 1094, 3207, 784, 30, 1202, 30, 786, 711, 291, 415, 1202, 646, 328, 630, 44, 324, 943, 280, 630, 3667, 416, 324, 9985, 280, 943, 77, 35, 79, 324, 9985, 77, 36, 79, 280, 943, 77, 35, 79, 280, 630, 3667, 1110, 77, 678, 79, 280, 428, 678, 30, 9985, 30, 943, 79, 291, 5436, 3667, 470, 1094, 3207, 784, 30, 1202, 30, 786, 27, 284, 665, 1156, 4025, 1094, 3207, 784, 30, 1202, 711, 291, 5436, 3667, 4025, 1094, 3207, 784, 30, 1202, 27, 291, 1202, 30, 7323, 30, 2354, 280, 630, 3667, 1110, 32, 3235, 26, 678, 27, 291, 7323, 77, 36, 79, 280, 2354, 291, 2354, 77, 35, 79, 280, 7323, 284, 665, 1156, 1731, 3207, 784, 711, 291, 943, 280, 630, 3667, 416, 291, 9985, 280, 943, 77, 36, 79, 291, 2218, 9985, 438, 646, 943, 44, 324, 6761, 9985, 77, 34, 79, 324, 9985, 280, 9985, 77, 36, 79, 284, 665, 1156, 35107, 3207, 784, 711, 291, 943, 280, 630, 3667, 416, 291, 9985, 280, 943, 77, 35, 79, 291, 2218, 9985, 438, 646, 943, 44, 324, 6761, 9985, 77, 34, 79, 324, 9985, 280, 9985, 77, 35, 79, 284, 665, 4726, 1094, 26, 784, 30, 2401, 47, 1815, 711, 291, 415, 646, 630, 44, 324, 3636, 25085, 463, 11702, 438, 3502, 683, 291, 415, 2401, 44, 324, 1202, 280, 29390, 26, 784, 547, 1978, 346, 291, 813, 44, 324, 1202, 280, 3850, 26, 784, 547, 1978, 346, 291, 786, 280, 630, 32, 3235, 26, 678, 27, 291, 442, 1202, 30, 786, 284, 665, 1156, 8920, 3207, 784, 711, 291, 3946, 280, 3813, 93, 30, 630, 77, 93, 3212, 436, 831, 328, 630, 79, 291, 3691, 280, 630, 3667, 1110, 30, 630, 3667, 416, 291, 3555, 630, 3667, 1110, 30, 630, 3667, 416, 291, 1440, 81, 2665, 280, 14447, 26, 784, 547, 2991, 346, 291, 630, 3667, 1110, 30, 630, 3667, 416, 280, 3691, 291, 415, 1440, 81, 2665, 44, 324, 442, 308, 784, 3667, 823, 7642, 308, 3028, 28020, 1440, 81, 2665, 27, 291, 442, 630, 3667, 823, 7642, 308, 3028, 21713, 284, 665, 5036, 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, 1, 1, 3, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 4, 5, 6, 5, 4, 4, 6, 6, 6, 6, 6, 6, 8, 9, 8, 8, 8, 10, 5, 5, 6, 0, 1, 1, 2, 3, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 6, 4, 4, 6, 4, 3, 3, 5, 8, 9, 8, 6, 6, 7, 5, 5, 5, 7, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 12, 13, 12, 4, 4, 5, 5, 5, 8, 9, 5, 5, 6, 6, 6, 6, 10, 11, 10, 4, 4, 7, 8, 7, 9, 7, 7, 9, 7, 2, 2, 3, 4, 5, 4, 3, 3, 7, 8, 6, 6, 7, 7, 4, 4, 6, 6, 8, 7, 7, 7, 7, 7, 4, 4, 4, 7, 8, 6, 6, 4, 4, 4, 7, 8, 7, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 5, 6, 6, 6, 5, 5, 5, 8, 8, 9, 10, 6, 6, 8, 8, 9, 10, 9, 6, 6, 9, 10, 9, 8, 8, 10, 11, 10, 9, 9, 12, 13, 11, 12, 11, 10, 10, 12, 11, 11, 11, 11, 11, 4, 4, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 8, 8, 8, 7, 7, 7, 4, 4, 7, 7, 7, 7, 6, 6, 9, 10, 8, 9, 8, 9, 8, 4, 4, 7, 8, 7, 6, 6, 4, 4, 7, 8, 7, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 6, 6, 7, 8, 7, 4, 4, 5, 6, 6, 6, 5, 5, 5, 8, 9, 10, 9, 6, 6, 8, 8, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 7, 8, 4, 4, 6, 6, 7, 8, 7, 4, 4, 5, 6, 6, 6, 5, 5, 5, 8, 9, 10, 9, 6, 6, 8, 8, 9, 10, 9, 2, 2, 3, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 5, 6, 5, 5, 5, 7, 9, 11, 11, 11, 11, 4, 4, 5, 5, 5, 5, 8, 8, 12, 13, 12, 11, 10, 5, 5, 6, 6, 6, 9, 9, 13, 14, 13, 12, 11, 4, 4, 6, 6, 8, 9, 8, 9, 8, 4, 4, 5, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 8, 8, 9, 10, 9, 7, 8, 8, 8, 7, 4, 4, 6, 6, 8, 9, 7, 7, 8, 9, 4, 4, 5, 7, 8, 6, 6, 7, 8, 4, 4, 7, 7, 6, 6, 10, 11, 10, 9, 8, 4, 4, 8, 9, 7, 7, 8, 9, 6, 6, 4, 4, 5, 6, 6, 5, 5, 5, 7, 10, 9, 10, 10, 8, 10, 9, 8, 9, 9, 8, 4, 4, 5, 7, 8, 8, 6, 8, 7, 2, 2, 3, 4 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 3, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 4, 4, 1, 0, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 0, 2, 1, 1, 3, 3, 3, 3, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 4, 0, 2, 0, 0, 4, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 0, 2, 2, 2, 3, 3, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 4, 4, 0, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 4, 1, 1, 1, 2, 4, 4, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 3, 3, 0, 0, 2, 2, 2, 4, 4, 5, 1, 1, 1, 2, 5, 5, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 3, 3, 0, 0, 2, 2, 2, 4, 4, 6, 1, 2, 1, 2, 2, 3, 2, 2, 6, 6, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 1, 1, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 3, 1, 1, 4, 4, 7, 1, 1, 1, 2, 7, 7, 0, 0, 1, 1, 1, 3, 2, 3, 2, 2, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 0, 4, 4, 5, 1, 1, 5, 5, 5, 0, 0, 1, 2, 2, 1, 1, 3, 1, 5, 5, 1, 4, 4, 6, 0, 2, 2, 1, 1, 2, 4, 4, 8, 2 ]
[ 1070, 1156, 9666, 505, 1188, 7976, 81, 465, 203, 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 465, 1619, 1356, 203, 465, 35094, 203, 465, 3833, 261, 203, 465, 6436, 619, 2065, 203, 1070, 14785, 32, 2958, 1188, 3619, 4071, 81, 13223, 203, 1070, 14785, 32, 2958, 32, 87, 1209, 1188, 1619, 203, 1070, 14785, 32, 2958, 32, 87, 1209, 1188, 5296, 203, 1070, 14785, 32, 2958, 32, 87, 1209, 1188, 5742, 203, 1070, 14785, 32, 2958, 32, 5134, 1188, 5239, 81, 7490, 619, 5741, 203, 823, 16254, 3296, 26, 3868, 32, 2759, 711, 334, 30365, 19377, 280, 313, 3617, 20, 334, 24309, 280, 313, 1216, 20, 334, 559, 6218, 807, 280, 313, 13225, 20, 334, 25151, 280, 313, 8447, 20, 203, 81, 5807, 81, 25234, 81, 8750, 280, 16254, 3296, 32, 43111, 807, 203, 823, 19612, 1527, 23490, 924, 26, 984, 711, 334, 665, 1156, 1664, 3207, 784, 30, 3083, 3089, 81, 681, 30, 3083, 3089, 81, 426, 30, 3083, 1688, 81, 1055, 30, 3083, 1929, 81, 10931, 30, 3083, 786, 711, 284, 630, 1114, 520, 81, 681, 280, 3089, 81, 681, 284, 630, 1114, 520, 81, 426, 280, 3089, 81, 426, 284, 630, 1114, 2024, 81, 1055, 280, 1688, 81, 1055, 284, 630, 1114, 1516, 81, 10931, 280, 1929, 81, 10931, 284, 630, 1114, 853, 280, 786, 284, 630, 1114, 2999, 81, 998, 280, 2065, 32, 891, 26, 853, 27, 284, 630, 1114, 5267, 81, 998, 280, 2065, 32, 998, 81, 38094, 26, 2356, 32, 297, 5267, 26, 853, 490, 284, 630, 1114, 10095, 81, 998, 280, 2065, 32, 998, 81, 38094, 26, 2356, 32, 30737, 26, 853, 490, 284, 2599, 26, 7559, 1527, 23490, 924, 30, 630, 14585, 1664, 3207, 784, 1114, 371, 81, 731, 81, 1436, 1157, 334, 665, 617, 371, 81, 731, 81, 1436, 26, 784, 711, 284, 636, 81, 466, 280, 33299, 21735, 101, 7362, 904, 630, 1114, 520, 81, 426, 27, 415, 630, 1114, 520, 81, 426, 438, 646, 1665, 400, 813, 596, 26, 784, 1114, 520, 81, 426, 490, 284, 3124, 280, 313, 2301, 904, 86, 432, 904, 86, 432, 394, 4666, 4212, 904, 101, 308, 426, 44, 904, 101, 27, 4304, 313, 904, 308, 291, 630, 1114, 2024, 81, 1055, 474, 225, 35, 30, 630, 1114, 1516, 81, 10931, 30, 630, 1114, 520, 81, 681, 30, 636, 81, 466, 27, 284, 415, 630, 1114, 5267, 81, 998, 461, 630, 1114, 10095, 81, 998, 44, 397, 3124, 1454, 5461, 86, 9233, 26, 101, 27, 461, 904, 86, 19291, 26, 101, 27, 313, 904, 308, 784, 1114, 5267, 81, 998, 30, 630, 1114, 10095, 81, 998, 27, 284, 4348, 630, 1114, 5267, 81, 998, 44, 397, 3124, 1454, 5461, 86, 9233, 26, 101, 27, 313, 904, 630, 1114, 5267, 81, 998, 284, 813, 44, 397, 3124, 1454, 5461, 86, 19291, 26, 101, 27, 313, 904, 630, 1114, 10095, 81, 998, 284, 3124, 1454, 313, 541, 432, 312, 3380, 432, 904, 86, 1994, 26, 101, 547, 12002, 786, 44, 904, 101, 20, 904, 308, 291, 630, 1114, 2999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 4, 2, 2, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 3, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 8, 9, 8, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 11, 10, 11, 10, 4, 4, 7, 8, 8, 8, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 10, 11, 10, 4, 4, 9, 10, 10, 10, 10, 9, 9, 9, 8, 8, 10, 9, 10, 10, 10, 10, 10, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 3, 3, 7, 7, 6, 6, 12, 12, 12, 10, 10, 11, 12, 12, 12, 9, 8, 8, 10, 11, 11, 11, 9, 9, 9, 8, 8, 8, 10, 12, 11, 12, 12, 12, 10, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 10, 11, 11, 11, 9, 9, 10, 8, 8, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 8, 8, 9, 9, 8, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 8, 8, 8, 5, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 9, 12, 11, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 5, 5, 6, 7, 8, 8, 8, 6, 6, 6, 9, 9, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 5, 5, 6, 6, 6, 9, 9, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 4, 4, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 9, 10 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 0, 0, 6, 6, 1, 1, 0, 7, 7, 1, 2, 7, 7, 0, 0, 0, 0, 8, 8, 1, 2, 1, 4, 4, 8, 8, 0, 9, 9, 1, 2, 1, 4, 4, 9, 9, 0, 10, 10, 1, 2, 1, 4, 4, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 3, 3, 0, 12, 12, 1, 2, 0, 1, 2, 2, 12, 12, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 14, 14, 1, 1, 1, 2, 1, 2, 14, 14, 0, 1, 1, 1, 2, 2, 2, 3, 3, 2, 2, 2, 5, 5, 2, 2, 2, 7, 7, 2, 2, 2, 9, 9, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 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, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 7, 7, 2, 4, 4, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 4, 1, 2, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2 ]
[ 465, 22045, 203, 1070, 456, 2593, 1188, 2971, 972, 203, 1070, 1779, 445, 32, 2282, 32, 4738, 81, 1580, 1188, 13698, 1486, 5732, 203, 1070, 1779, 445, 32, 4255, 32, 7924, 32, 2593, 32, 2282, 1188, 5592, 81, 452, 81, 1260, 203, 823, 38363, 6772, 101, 72, 37, 1486, 5732, 26, 45377, 5732, 711, 284, 665, 1156, 1664, 3207, 784, 30, 1359, 30, 952, 30, 3882, 30, 3796, 81, 965, 30, 17086, 81, 426, 47, 2521, 711, 291, 2599, 26, 16897, 6772, 101, 72, 37, 1486, 5732, 30, 630, 14585, 1664, 3207, 1163, 30, 952, 30, 20079, 3882, 30, 3796, 81, 965, 30, 20079, 17086, 81, 426, 27, 291, 630, 32, 2122, 280, 630, 32, 1163, 32, 7924, 32, 10771, 81, 104, 37, 81, 681, 284, 665, 617, 2208, 81, 955, 26, 784, 30, 1541, 711, 291, 2361, 280, 5592, 81, 452, 81, 1260, 26, 1251, 27, 291, 442, 2361, 284, 665, 1149, 81, 15213, 81, 352, 8522, 26, 784, 30, 2803, 47, 2521, 711, 291, 1984, 280, 330, 500, 31, 6656, 31, 15213, 31, 8795, 25, 291, 415, 2803, 44, 324, 1984, 1454, 26652, 23, 101, 25, 904, 22045, 32, 965, 4434, 26, 2132, 27, 291, 5127, 30, 3361, 280, 630, 32, 371, 26, 965, 30, 630, 32, 5078, 27, 291, 17086, 81, 8795, 280, 630, 1114, 2208, 81, 955, 26, 48609, 32, 1070, 800, 26, 1548, 490, 291, 442, 5127, 30, 17086, 81, 8795, 710, 15213, 81, 8795, 785, 284, 665, 622, 81, 15213, 81, 8795, 26, 784, 30, 17086, 81, 314, 30, 2803, 47, 2521, 711, 291, 1984, 280, 330, 500, 31, 6656, 31, 15213, 31, 8795, 9708, 101, 25, 904, 17086, 81, 314, 291, 415, 2803, 44, 324, 1984, 1454, 26652, 23, 101, 25, 904, 22045, 32, 965, 4434, 26, 2132, 27, 291, 5127, 30, 3361, 280, 630, 32, 371, 26, 965, 30, 630, 32, 5078, 27, 291, 17086, 81, 8795, 280, 630, 1114, 2208, 81, 955, 26, 48609, 32, 1070, 800, 26, 1548, 490, 291, 442, 5127, 30, 17086, 81, 8795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 9, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 8, 8, 7, 4, 4, 7, 8, 6, 6, 9, 10, 8, 9, 7, 8, 8, 8, 8, 8, 8, 2, 2, 3, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 9, 8, 4, 4, 5, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 5, 5, 5, 5, 8, 8, 11, 11, 11, 9, 9, 11, 12, 12, 11, 12, 11, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 11, 10, 11, 10, 4, 4, 5, 6, 6, 8, 8, 7, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4, 4, 5, 6, 4, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 8, 4, 4, 5, 5, 5, 5, 8, 8, 11, 11, 11, 9, 9, 11, 12, 12, 11, 12, 11, 4, 4, 7, 7, 6, 6, 8, 9, 8, 9, 8, 8, 9, 10, 8, 4, 4, 7, 7, 6, 6, 8, 9, 9, 9, 8, 11, 10, 11, 11, 10, 11, 10, 4, 4, 5, 6, 6, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 2, 2, 0, 0, 0, 3, 3, 0, 1, 2, 1, 4, 1, 6, 1, 8, 3, 3, 0, 0, 0, 0, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 0, 0, 11, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 9, 9, 1, 4, 4, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 1, 4, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 0, 0, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 5, 2, 2, 3, 3, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 4, 4, 4, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 1869, 459, 1188, 319, 203, 823, 8922, 4587, 2238, 620, 35, 26, 4045, 711, 284, 25060, 280, 313, 525, 555, 85, 2912, 32, 3994, 10953, 32, 1088, 33, 106, 1088, 33, 2186, 33, 2400, 2238, 31, 681, 35, 20, 284, 1984, 647, 280, 313, 641, 555, 1499, 32, 106, 32, 1088, 33, 8929, 33, 27797, 33, 2186, 33, 2186, 31, 2400, 2238, 31, 681, 35, 31, 35, 32, 34, 32, 37, 32, 5366, 32, 6680, 20, 284, 1503, 463, 35, 32, 34, 32, 37, 370, 330, 486, 43, 35, 41, 37, 42, 85, 38, 86, 37, 40, 38, 40, 86, 41, 43, 43, 43, 87, 34, 34, 2321, 43, 43, 36, 37, 88, 36, 83, 34, 683, 284, 12428, 81, 267, 463, 2186, 31, 1040, 683, 284, 12428, 81, 267, 463, 2186, 1163, 370, 827, 1057, 1832, 683, 284, 12428, 81, 267, 463, 4765, 2186, 1515, 370, 827, 1057, 1832, 683, 284, 12428, 81, 267, 463, 4765, 2186, 3804, 370, 827, 1057, 1832, 683, 284, 12428, 81, 267, 463, 4652, 31, 1163, 50, 34, 32, 43, 32, 34, 12454, 827, 1057, 1832, 683, 284, 12428, 81, 267, 463, 1040, 31, 19894, 370, 827, 1057, 1832, 683, 284, 665, 2443, 26, 784, 30, 1374, 30, 5202, 711, 291, 8488, 12664, 4254, 1279, 34, 16805, 1643, 26, 4254, 490, 291, 1930, 463, 3789, 683, 291, 13947, 26, 4254, 32, 1356, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 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, 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, 2, 2, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 5, 5, 5, 7, 7, 7, 7, 2, 2, 5, 5, 5, 7, 7, 7, 5, 6, 8, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 5, 6, 8, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 5, 6, 8, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 8, 8, 2, 2, 5, 5, 5, 7, 7, 7, 7, 5, 6, 8, 8, 2, 2, 3, 4, 5, 4, 4, 4, 4, 4, 3, 3, 7, 11, 11, 11, 11, 10, 9, 10, 9, 4, 4, 7, 9, 9, 4, 4, 7, 9, 8, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 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, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 4, 9, 2, 1, 2, 2, 2, 2, 2, 9, 9, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 1, 1, 2, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 343, 2632, 203, 465, 13197, 106, 32, 1262, 32, 11025, 7491, 32, 496, 81, 1237, 32, 7632, 81, 2142, 32, 1237, 619, 8419, 81, 2142, 81, 1237, 203, 1070, 13197, 106, 32, 1262, 32, 11025, 7491, 32, 496, 81, 1237, 32, 11458, 81, 3158, 7995, 1188, 9500, 1240, 10728, 10206, 203, 1070, 9525, 32, 4882, 32, 42053, 1188, 22509, 38935, 2214, 203, 1070, 816, 1647, 32, 32417, 32, 32417, 1188, 7051, 30, 2680, 10728, 203, 1070, 816, 1647, 32, 1647, 2157, 32, 4882, 32, 42053, 1188, 1505, 81, 17022, 81, 13842, 30, 1505, 81, 17022, 81, 13842, 81, 3585, 203, 1070, 2417, 1237, 1188, 622, 81, 7632, 81, 8587, 203, 1070, 4377, 496, 81, 32417, 1188, 2680, 10728, 14989, 30, 617, 371, 81, 496, 81, 11458, 81, 6332, 203, 1070, 638, 858, 81, 8774, 1188, 22509, 8634, 7233, 30, 1487, 81, 2645, 203, 50, 583, 102, 32, 583, 102, 203, 823, 18968, 1006, 14989, 7233, 26, 13018, 8634, 7233, 711, 284, 5895, 81, 33058, 81, 779, 280, 225, 34, 284, 665, 14553, 26, 784, 711, 291, 2599, 26, 7334, 1006, 14989, 7233, 30, 630, 547, 23741, 346, 291, 630, 32, 6332, 280, 428, 1564, 26, 35, 30, 330, 1564, 225, 35, 1425, 7051, 26, 36, 30, 330, 1564, 225, 36, 1425, 7051, 26, 37, 30, 330, 1564, 225, 37, 12357, 291, 630, 32, 2998, 81, 858, 81, 496, 81, 11458, 81, 314, 280, 630, 32, 3765, 81, 33058, 81, 779, 291, 630, 32, 2998, 81, 858, 81, 496, 81, 11458, 280, 2680, 10728, 26, 324, 804, 47, 784, 32, 2998, 81, 858, 81, 496, 81, 11458, 81, 314, 30, 324, 636, 1057, 7334, 24607, 370, 324, 3048, 1057, 2272, 438, 6122, 9778, 370, 324, 8351, 47, 784, 32, 6332, 30, 324, 12841, 47, 6096, 1240, 10728, 10206, 291, 829, 291, 630, 32, 2998, 81, 858, 81, 496, 81, 11458, 32, 13627, 32, 426, 280, 313, 3855, 20, 291, 630, 32, 7632, 81, 32754, 280, 630, 32, 371, 81, 7632, 81, 32754, 346, 291, 630, 32, 8587, 280, 630, 32, 1832, 81, 7632, 26, 784, 32, 7632, 81, 32754, 27, 291, 630, 32, 7632, 280, 630, 32, 8587, 710, 7632, 785, 291, 22509, 38935, 2214, 32, 1297, 26, 496, 47, 784, 32, 496, 30, 8419, 81, 314, 47, 784, 32, 7632, 32, 314, 30, 438, 81, 2480, 47, 1815, 27, 291, 630, 32, 23378, 280, 2680, 10728, 14989, 346, 284, 665, 622, 81, 7632, 81, 32754, 26, 784, 711, 291, 1086, 81, 426, 280, 330, 7334, 1006, 14989, 25, 291, 8419, 81, 426, 280, 330, 635, 35, 34, 35, 56, 25, 291, 1420, 81, 426, 280, 330, 858, 81, 1945, 25, 291, 665, 3894, 26, 1521, 81, 612, 30, 2163, 81, 681, 1057, 10163, 7831, 324, 442, 1487, 81, 2645, 26, 400, 1086, 81, 426, 30, 8419, 81, 426, 30, 1420, 81, 426, 30, 2163, 81, 681, 30, 630, 32, 1297, 81, 1521, 81, 314, 26, 1521, 81, 681, 30, 2163, 81, 612, 27, 324, 829, 291, 442, 428, 324, 301, 400, 330, 1088, 950, 1086, 81, 426, 30, 400, 330, 7632 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 0, 1, 1, 4, 3, 4, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 2, 3, 3, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 2, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 0, 1, 1, 4, 4, 4, 1, 1, 3, 3, 1, 1, 3, 3, 0, 2, 4, 4, 3, 4, 4, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 2, 2, 6, 6, 6, 6, 5, 5, 6, 3, 3, 4, 5, 6, 5, 4, 4, 10, 11, 11, 11, 11, 10, 10, 10, 9, 8, 5, 5, 8, 9, 7, 7, 10, 10, 11, 10, 10, 12, 12, 12, 12, 8, 10, 11, 10, 10, 12, 12, 12, 12, 8, 10, 11, 10, 10, 12, 12, 12, 12, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 8, 9, 9, 9, 9, 9, 5, 5, 8, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 10, 12, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 10, 12, 12, 12, 9, 9, 10, 12, 12, 12, 12, 12, 9, 9, 10, 12, 11, 12, 9, 9, 9, 10, 11, 11, 11, 11, 9, 9, 5, 5, 10, 11, 11, 11, 11, 11, 11, 11, 9, 10, 8, 9, 7, 7, 9, 9, 5, 5, 8, 9, 9, 9, 7, 7, 9, 10, 10, 10, 10, 10, 9, 5, 5, 8, 9, 7, 7, 9, 10, 10, 10, 9, 11, 10, 11, 11, 11, 9, 5, 5, 8, 9, 7, 7, 9, 10, 8, 10, 10, 5, 5, 9, 9, 8, 9, 8, 10, 9, 11, 10, 11, 8, 8, 10, 10, 9, 12, 11, 12, 10, 11, 8, 8, 10, 10, 9, 10, 8, 5, 5, 8, 9, 7, 7, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 5, 5, 8, 8, 7, 7, 9, 9, 9, 9, 9, 9, 5, 5, 8, 8, 7, 7, 9, 9, 9, 9, 5, 5, 6, 7, 8, 8, 8, 7, 7, 9, 9, 8, 10, 10, 6, 6, 8, 10, 10, 10, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 11, 11, 10, 10, 12, 13, 13, 13, 13, 13, 12, 13, 13, 13, 12, 12, 13, 13, 12, 10, 10, 5, 5, 6, 7, 7, 8, 8, 11, 11, 9, 10, 10, 8, 8, 8, 11 ]
[ 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 4, 4, 0, 6, 6, 6, 0, 8, 8, 8, 0, 10, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 4, 4, 1, 6, 6, 6, 1, 8, 8, 8, 8, 2, 2, 0, 0, 0, 0, 3, 3, 1, 2, 1, 4, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 1, 4, 4, 4, 4, 4, 0, 0, 5, 5, 0, 1, 2, 2, 1, 4, 1, 6, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 1, 2, 2, 9, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 4, 4, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 3, 1, 1, 2, 1, 1, 5, 1, 1, 1, 1, 2, 1, 1, 7, 0, 2, 2, 1, 1, 1, 9, 2, 2, 2, 2, 1, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 1, 1, 0, 0, 5, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 1, 4, 4, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 3, 2, 1, 1, 1, 2, 2, 0, 0, 3, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 5, 5, 1, 1, 7, 7, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1 ]
[ 1070, 35381, 1188, 4361, 203, 1070, 35381, 1114, 1040, 1188, 438, 1215, 203, 465, 5237, 203, 325, 330, 4997, 9071, 38, 32, 37571, 25, 646, 328, 5237, 32, 3477, 44, 284, 1596, 44, 291, 645, 48885, 39, 32, 37571, 1188, 1910, 1658, 30, 2678, 33739, 2653, 284, 2940, 44, 291, 1596, 44, 324, 645, 48885, 38, 32, 37571, 1188, 1910, 1658, 30, 2678, 33739, 2653, 291, 2940, 44, 324, 645, 4354, 7427, 32, 37571, 1188, 1910, 1658, 30, 2678, 33739, 2653, 203, 1824, 44, 3701, 645, 48885, 38, 32, 37571, 1188, 1910, 1658, 30, 2678, 33739, 2653, 203, 589, 10940, 26, 100, 30, 485, 30, 323, 30, 312, 47, 36, 39, 39, 711, 284, 442, 308, 99, 33739, 2653, 26, 100, 30, 485, 30, 323, 30, 312, 27, 549, 225, 34, 7465, 27, 203, 823, 4361, 9071, 26, 67, 1658, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3960, 711, 291, 706, 280, 1665, 291, 932, 373, 444, 280, 1665, 291, 415, 19326, 26, 449, 30, 313, 452, 17997, 42, 10280, 324, 3960, 280, 15390, 26, 449, 32, 452, 17997, 42, 1026, 313, 3310, 31, 42, 657, 291, 415, 438, 1215, 26, 449, 711, 324, 3960, 280, 4361, 32, 1676, 26, 449, 27, 291, 415, 3960, 32, 2816, 610, 313, 35, 563, 324, 2179, 280, 1910, 1658, 32, 2207, 81, 16245, 291, 4348, 3960, 32, 2816, 610, 313, 62, 563, 324, 2179, 280, 1910, 1658, 32, 2207, 81, 14775, 42, 324, 932, 373, 444, 280, 1605, 324, 436, 595, 328, 2155, 26, 36, 39, 40, 711, 400, 932, 373, 444, 32, 1689, 26, 8270, 26, 91, 30, 595, 30, 595, 490, 291, 4348, 3960, 32, 2816, 610, 313, 66, 563, 324, 2179, 280, 1910, 1658, 32, 2207, 81, 14775, 42, 324, 932, 373, 444, 280, 1605, 324, 21926, 280, 3960, 32, 371, 17419, 346, 324, 436, 595, 328, 2155, 26, 34, 30, 2069, 26, 17419, 471, 225, 37, 711, 400, 932, 373, 444, 32, 1689, 26, 8270, 2740, 17419, 77, 91, 44, 91, 29, 37, 5259, 291, 4348, 3960, 32, 2816, 610, 313, 7807, 563, 324, 706, 280, 3960, 32, 452, 3651, 440, 1294, 392, 313, 24509, 74, 657, 324, 2179, 280, 1910, 1658, 32, 2207, 81, 7807, 37, 36, 291, 4348, 3960, 32, 2816, 610, 313, 16781, 563, 324, 1596, 44, 400, 706, 280, 3960, 32, 452, 3651, 440, 1294, 392, 313, 24509, 51, 657, 324, 2940, 1171, 924, 44, 400, 540, 30, 485, 30, 323, 30, 312, 280, 3960, 32, 2998, 346, 400, 3960, 280, 4361, 32, 6077, 440, 16781, 392, 308, 84, 30, 485, 30, 540, 30, 312, 490, 324, 2179, 280, 1910, 1658, 32, 2207, 81, 45973, 37, 36, 291, 813, 44, 324, 3636, 10091, 440, 34019, 1778, 2926, 904, 100, 20, 904, 3960, 32, 2816, 27, 291, 630, 3667, 605, 280, 706, 556, 3960, 32, 452, 3651, 346, 291, 1910, 1658, 3667, 1664, 3207, 784, 30, 630, 3667, 605, 30, 3960, 32, 891, 77, 34, 614, 3960, 32, 891, 77, 35, 614, 2179, 27, 291, 415, 932, 373, 444, 44, 324, 630, 32, 20407, 1599, 26, 748 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 4, 1, 1, 1, 3, 3, 3, 5, 7, 6, 7, 5, 5, 7, 5, 5, 7, 7, 3, 3, 4, 4, 4, 6, 6, 6, 8, 10, 9, 10, 8, 8, 10, 8, 8, 10, 10, 6, 6, 7, 7, 7, 9, 11, 10, 11, 9, 9, 11, 9, 9, 11, 11, 1, 2, 2, 2, 2, 4, 6, 5, 6, 4, 4, 6, 4, 4, 6, 6, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 2, 1, 1, 3, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 4, 0, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 7, 8, 7, 7, 9, 9, 9, 9, 5, 5, 8, 8, 10, 13, 12, 13, 13, 13, 12, 10, 12, 12, 12, 12, 4, 4, 5, 7, 7, 8, 7, 5, 5, 8, 8, 10, 11, 10, 11, 10, 4, 4, 5, 7, 8, 6, 6, 8, 8, 5, 5, 8, 8, 10, 9, 10, 10, 10, 5, 5, 6, 8, 9, 7, 7, 9, 9, 6, 6, 9, 9, 11, 10, 11, 11, 11, 11, 7, 7, 10, 10, 9, 9, 7, 7, 8, 8, 8, 10, 11, 11, 11, 10, 8, 8, 13, 13, 12, 13, 12, 14, 14, 15, 14, 14, 14, 14, 14, 5, 5, 6, 8, 9, 7, 7, 9, 9, 6, 6, 9, 9, 11, 10, 11, 11, 11, 11, 7, 7, 10, 10, 9, 9, 7, 7, 9, 9, 11, 12, 12, 11, 7, 7, 8, 8, 8, 10, 11, 10, 10, 12, 13, 12, 10, 11, 10, 8, 8, 13, 13, 12, 13, 12, 14, 14, 17, 16, 18, 17, 19, 18, 19, 16, 5, 5, 6, 8, 9, 7, 7, 9, 9, 6, 6, 9, 9, 11, 12, 12, 11, 13, 13, 11, 13, 13, 13, 7, 7, 9, 9, 11, 10, 11, 11, 11, 11, 11, 5, 5, 6, 8, 9, 7, 7, 9, 9, 6, 6, 8, 8, 8, 11, 11, 13, 14, 14, 13, 15, 15, 13, 15, 15, 15, 8, 8, 9, 10, 9, 9, 9, 13, 13, 13, 13, 13, 13, 12, 12, 14, 15, 14, 10, 10, 12, 12, 14, 15, 14, 16, 16, 14, 16, 15, 15, 15, 15, 15, 15, 15, 7, 7, 9, 9, 11, 10, 11, 11, 11, 11, 11, 5, 5, 6, 6, 6, 8, 10, 13, 13, 13, 13, 13, 13, 11, 11, 12, 13, 10, 4, 4, 7, 8, 6, 6, 7, 7, 9, 10, 10, 9, 4, 4, 8, 7, 8, 8, 8, 7, 7, 8, 9, 7, 7, 9, 10, 8, 9, 8, 7, 9, 10, 8, 9, 8, 7, 7, 4, 4, 5, 6, 6, 5, 5, 5, 9, 10, 10, 9, 10 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 3, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 1, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 5, 5, 1, 2, 1, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 4, 3, 0, 1, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 4, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, 2, 1, 1, 1, 2, 4, 4, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 4, 4, 5, 0, 2, 1, 1, 1, 2, 5, 5, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 2, 2, 1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 3, 3, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 4, 4, 6, 0, 2, 1, 1, 1, 2, 6, 6, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 7, 0, 2, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 0, 2, 1, 1, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 8, 8, 8, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 4, 4, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 3, 2, 1, 1, 0, 2, 5, 2, 5, 1, 0, 2, 7, 2, 7, 1, 1, 4, 4, 7, 1, 1, 7, 7, 7, 0, 2, 2, 1, 1 ]
[ 1070, 8527, 32, 8538, 32, 3378, 1188, 2926, 48869, 81, 5792, 203, 1070, 8527, 32, 12023, 1188, 5605, 203, 1070, 8527, 32, 525, 1188, 17874, 203, 1070, 8527, 32, 2304, 1188, 4281, 1260, 203, 1070, 8527, 32, 4338, 32, 28497, 32, 14250, 1188, 23049, 81, 327, 30816, 203, 1070, 296, 3095, 1188, 4070, 619, 296, 3095, 81, 3550, 203, 1070, 296, 3095, 32, 3378, 1188, 28739, 2190, 30, 28739, 2190, 1097, 203, 1070, 296, 3095, 32, 2304, 32, 2536, 1188, 2887, 81, 4462, 30, 16206, 984, 203, 1070, 296, 3095, 32, 2304, 32, 4554, 1188, 2454, 81, 1473, 203, 823, 28739, 2190, 1097, 10144, 26, 2300, 32, 3999, 1900, 10144, 711, 284, 1542, 280, 28739, 2190, 1097, 203, 823, 28739, 2190, 4191, 26, 2300, 32, 1243, 4191, 711, 284, 1542, 280, 28739, 2190, 284, 328, 4446, 280, 428, 25968, 1097, 10144, 79, 284, 2761, 81, 10630, 280, 2726, 2536, 370, 27, 284, 5081, 81, 314, 81, 4151, 280, 2726, 496, 370, 27, 284, 9541, 81, 426, 280, 313, 2897, 28739, 2190, 20, 284, 9541, 81, 426, 81, 25857, 280, 313, 2897, 28739, 27061, 20, 284, 665, 622, 81, 11400, 26, 784, 711, 291, 1596, 44, 324, 645, 8527, 32, 2957, 32, 11400, 1188, 15103, 30, 1984, 291, 2940, 29986, 44, 324, 645, 8527, 32, 2957, 32, 11400, 32, 10514, 1188, 15103, 30, 1984, 291, 19990, 280, 2599, 26, 25968, 4191, 30, 630, 547, 371, 81, 11400, 346, 291, 645, 296, 3095, 1188, 11875, 291, 1984, 81, 15719, 280, 15103, 22869, 324, 1984, 26, 100, 28249, 14663, 33, 20437, 81, 27793, 81, 452, 81, 6175, 9764, 370, 400, 630, 32, 2300, 81, 2851, 32, 2300, 81, 1071, 26, 4338, 32, 20437, 81, 27793, 81, 452, 81, 6175, 471, 400, 636, 1057, 11497, 31, 20437, 81, 27793, 81, 452, 81, 6175, 1425, 324, 1984, 26, 100, 28249, 14663, 33, 29853, 81, 27793, 9764, 370, 400, 630, 32, 2300, 81, 2851, 32, 2300, 81, 1071, 26, 4338, 32, 29853, 81, 27793, 471, 400, 636, 1057, 11497, 31, 29853, 81, 27793, 1425, 324, 1984, 26, 100, 28249, 14663, 33, 2560, 81, 27793, 9764, 370, 400, 630, 32, 2300, 81, 2851, 32, 2300, 81, 1071, 26, 4338, 32, 2560, 81, 27793, 471, 400, 636, 1057, 11497, 31, 2560, 81, 27793, 1425, 324, 1984, 26, 100, 28249, 14663, 33, 4462, 9764, 370, 400, 630, 32, 6825, 81, 4462, 30, 400, 636, 1057, 11497, 31, 6825, 81, 4462, 1425, 291, 829, 291, 1984, 81, 15719, 32, 8233, 26, 11400, 27, 291, 442, 1984, 81, 15719, 284, 477, 14250, 81, 327, 30816, 284, 665, 20297, 81, 4462, 26, 784, 30, 1326, 30, 4844, 81, 314, 47, 2521, 711, 291, 18346, 681, 280, 313, 3164, 33, 1260, 20, 415, 1326, 32, 297, 81, 6825, 346, 813, 313, 878, 33, 916, 20, 291, 1596, 44, 324, 7623, 30, 4870, 30, 438, 81, 1294, 280, 2887, 81, 4462, 26, 1357, 27, 324, 27558, 280, 28739, 2190, 32, 5740, 32, 371, 81, 271, 81, 1297, 26, 496, 47, 1357, 32, 496, 5594, 34, 79, 324, 436, 296, 3095, 81, 823, 328, 296, 3095, 81 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 1, 1, 3, 0, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 1, 3, 1, 1, 2, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 3, 4, 4, 4, 2, 1, 1, 4, 4, 5, 5, 0, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 4, 4, 5, 2, 2, 5, 4, 4, 6, 6, 6, 5, 2, 2, 5, 5, 4, 4, 7, 7, 5, 2, 2, 5, 5, 5, 5, 4, 4, 7, 7, 5, 2, 2, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 5, 5, 5, 5, 4, 4, 6, 6, 6, 6, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 5, 5, 5, 7, 8, 9, 8, 9, 7, 7, 7, 7, 5, 5, 6, 6, 6, 6, 8, 9, 10, 9, 10, 9, 10, 8, 8, 8, 8, 4, 4, 6, 6, 10, 11, 11, 10, 10, 10, 9, 9, 9, 8, 4, 4, 5, 7, 5, 5, 4, 4, 7, 7, 6, 6, 8, 8, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 13, 14, 14, 14, 12, 13, 13, 13, 12, 14, 13, 14, 14, 14, 14, 14, 14, 14, 12, 10, 10, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 8, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 13, 14, 14, 14, 12, 13, 13, 13, 12, 14, 13, 14, 14, 14, 12, 10, 10, 11, 13, 13, 13, 13, 13, 13, 8, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 10, 13, 14, 14, 14, 12, 13, 13, 13, 12, 14, 13, 14, 14, 14, 12, 10, 10, 11, 13, 13, 13, 13, 13, 13, 8, 8, 10, 12, 12, 12, 12, 12, 12, 12, 10, 10, 11, 12, 12, 12, 10, 10, 10, 11, 13, 13, 13, 13, 13, 13, 8, 8, 4, 4, 8, 8, 7, 8, 7, 8, 7, 4, 4, 5, 6, 6, 2, 2, 5, 5, 5, 5, 3, 3, 4, 5, 5, 5, 6, 5, 5, 5, 5, 7, 7, 6, 7, 5, 4, 4, 8, 7, 7, 10, 10, 10, 10, 8, 8, 10, 11, 11, 11, 10, 8, 8, 10, 10, 10, 10, 5, 5, 6, 6, 6, 10, 10, 10, 10, 11, 11, 9, 9, 11, 11, 11, 12, 11, 7, 7, 9, 9, 14, 13, 14, 12, 13, 13, 13, 13, 13, 12, 14, 13, 15, 14, 15, 12, 11, 10, 7, 7, 8, 9, 9, 9, 8, 8, 10, 10 ]
[ 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 3, 1, 2, 3, 3, 0, 0, 4, 4, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 0, 0, 5, 5, 0, 5, 5, 3, 3, 2, 2, 2, 0, 6, 6, 0, 1, 2, 6, 6, 0, 6, 6, 0, 0, 0, 7, 7, 0, 1, 2, 1, 4, 7, 7, 0, 0, 7, 7, 0, 0, 8, 8, 0, 1, 2, 1, 4, 8, 8, 0, 0, 0, 9, 9, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 9, 9, 0, 0, 2, 2, 0, 10, 10, 1, 1, 2, 0, 1, 2, 2, 2, 10, 10, 0, 0, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 6, 1, 1, 2, 1, 2, 6, 6, 0, 0, 0, 0, 1, 2, 1, 4, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 1, 2, 1, 4, 1, 6, 0, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 4, 4, 2, 0, 2, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 1, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 1, 1, 1, 4, 4, 5, 1, 1, 4, 4, 1, 1, 1, 1, 7, 7, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 4, 4, 1, 1, 1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0 ]
[ 465, 8888, 37, 36, 1237, 30, 8888, 37, 36, 4373, 203, 465, 8888, 37, 36, 468, 30, 25116, 4373, 468, 30, 8888, 566, 203, 465, 2322, 203, 1433, 81, 1515, 47, 4463, 37, 36, 1237, 32, 936, 2410, 1215, 346, 203, 10555, 47, 4463, 37, 36, 1237, 32, 936, 2410, 6777, 26, 1433, 81, 1515, 1947, 100, 1990, 11968, 34, 79, 203, 1216, 18146, 203, 500, 32, 2546, 26, 10555, 27, 203, 3648, 81, 7242, 101, 280, 1833, 4463, 37, 36, 4373, 32, 10136, 30568, 882, 22869, 566, 4373, 468, 32, 807, 81, 39369, 81, 2474, 471, 4463, 37, 36, 468, 32, 807, 81, 12735, 5311, 3055, 81, 17557, 471, 400, 308, 4463, 37, 36, 4373, 32, 10136, 30568, 882, 22869, 566, 4373, 468, 32, 807, 81, 13381, 9069, 81, 2474, 471, 4463, 37, 36, 468, 32, 807, 81, 12735, 5311, 3055, 81, 17557, 27, 400, 829, 203, 833, 280, 8888, 37, 36, 1237, 32, 20821, 2861, 346, 203, 349, 280, 8888, 37, 36, 4373, 32, 2961, 2861, 1763, 26, 833, 30, 8888, 37, 36, 468, 32, 9052, 81, 4409, 110, 4463, 37, 36, 468, 32, 9052, 81, 25358, 6902, 81, 12735, 5311, 40362, 27, 203, 46120, 81, 7242, 101, 47, 4463, 37, 36, 4373, 32, 15051, 1763, 47899, 26, 349, 30, 34, 30, 3648, 81, 7242, 101, 27, 203, 1270, 44, 284, 4257, 47, 4463, 37, 36, 4373, 32, 30446, 81, 37321, 346, 284, 1672, 81, 11649, 280, 8888, 37, 36, 4373, 32, 35620, 6606, 26, 349, 30, 566, 4373, 468, 32, 1763, 1240, 5594, 34, 79, 284, 4257, 32, 30446, 81, 27874, 32, 885, 5188, 4327, 6444, 26, 1772, 81, 11649, 30, 34, 27, 284, 831, 30, 24590, 47, 4463, 37, 36, 1237, 32, 3339, 1922, 953, 571, 26, 4463, 37, 36, 468, 32, 47496, 81, 13926, 81, 4975, 30, 330, 8312, 894, 1202, 370, 7337, 5086, 47, 2496, 30, 291, 20781, 29916, 47, 4463, 37, 36, 468, 32, 3307, 81, 2320, 81, 12455, 30, 1709, 1057, 6060, 443, 370, 11024, 47, 34, 27, 284, 8888, 37, 36, 1237, 32, 3339, 20612, 26, 93, 30, 1665, 30, 8888, 37, 36, 468, 32, 4733, 81, 15553, 30, 330, 2044, 786, 436, 4262, 894, 1202, 683, 284, 1361, 93, 30, 24590, 47, 4463, 37, 36, 1237, 32, 3339, 1922, 953, 571, 26, 93, 30, 330, 2958, 894, 1361, 678, 370, 7337, 5086, 47, 2496, 30, 291, 20781, 29916, 47, 4463, 37, 36, 468, 32, 3307, 81, 2320, 81, 12455, 30, 1709, 1057, 6060, 1604, 443, 370, 11024, 47, 34, 27, 284, 8888, 37, 36, 1237, 32, 3339, 20612, 26, 1113, 93, 30, 1665, 30, 8888, 37, 36, 468, 32, 4733, 81, 15553, 30, 330, 2044, 786, 436, 1361, 678, 683, 284, 8888, 37, 36, 1237, 32, 3339, 5126, 953, 571, 26, 93, 30, 18146, 30, 22208, 47, 4463, 566, 32, 4733, 81, 30169, 81, 9302, 30, 7337, 5086, 47, 2496, 27, 284, 34264, 81, 678, 30, 24590, 47, 4463, 37, 36, 1237, 32, 3339, 1922, 953, 571, 26, 4463, 37, 36, 468, 32, 47496, 81, 13926, 81, 4975, 30, 330, 8312, 894 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 0, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 0, 3, 3, 3, 2, 5, 5, 5, 5, 4, 5, 5, 5, 4, 0, 3, 2, 6, 6, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 5, 7, 7, 7, 4, 3, 0, 1, 1, 0, 4, 3, 4, 3, 4, 3, 0, 3, 3, 3, 3, 2, 2, 7, 7, 7, 7, 6, 7, 7, 7, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 7, 7, 7, 7, 6, 7, 7, 7, 6, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 4, 3, 3, 0, 3, 2, 2, 5, 5, 5, 4, 5, 5, 4, 0, 3, 2, 2, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 4, 7, 7, 7, 6, 7, 7, 7, 5, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 4, 0, 3, 3, 3, 3, 2, 5, 5, 5, 5, 4, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 4, 0, 1, 1, 1, 1, 4, 7, 7, 7, 7, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 8, 8, 8, 7, 8, 8, 7, 8, 7, 9, 9, 9, 8, 9, 9, 7, 6, 5, 2, 2, 6, 7, 7, 7, 5, 6, 6, 6, 6, 5, 6, 6, 6, 5, 6, 5, 2, 2, 5, 5, 4, 7, 7, 7, 7, 6, 7, 7, 7, 7, 6, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 6, 8, 7, 8, 6, 6, 6, 8, 7, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 6, 7, 8, 6, 2, 2, 6, 6, 6, 5, 6, 6, 5, 6, 5, 5, 5, 5, 7, 7, 7, 6, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 2, 2, 6, 5, 5, 4, 7, 7, 7, 7, 6, 7, 7, 7, 7, 6, 7, 6, 6, 8, 8, 8, 8, 8, 6, 8, 7, 8, 6, 6, 6, 8, 7, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 6, 6, 7, 9, 9, 9, 9, 6, 7, 8, 6, 2, 2, 6, 6, 6, 5, 6, 6, 5, 6, 6, 5, 5, 5, 5, 7, 7, 7, 6, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 2, 2, 6, 6, 6, 5, 6, 6, 6, 6, 5, 6, 5, 5, 5, 5, 6, 8, 8, 7, 8, 8, 8, 8, 8, 5, 5, 7, 6, 7, 5, 2, 2, 6, 6, 5, 5, 4, 7, 7, 7, 7, 6, 7, 7, 7, 7, 6, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 5, 5, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 3, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 3, 1, 5, 5, 5, 5, 1, 0, 11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 3, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 5, 2, 1, 1, 1, 0, 7, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 9, 1, 1, 2, 1, 11, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 5, 2, 1, 1, 1, 0, 7, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 9, 1, 1, 1, 2, 1, 11, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 5, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 7, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1 ]
[ 1070, 1340, 1188, 4402, 203, 1070, 1542, 1188, 6480, 620, 203, 465, 23332, 81, 1040, 203, 465, 1542, 203, 465, 2322, 203, 823, 677, 4815, 26, 1473, 711, 334, 665, 1156, 1664, 3207, 784, 30, 3583, 30, 23332, 81, 681, 81, 7101, 711, 284, 630, 1114, 3766, 81, 681, 81, 7101, 280, 23332, 81, 681, 81, 7101, 284, 630, 1114, 2011, 280, 3583, 284, 630, 1114, 1977, 81, 2011, 280, 308, 291, 630, 1114, 3766, 81, 681, 81, 7101, 32, 936, 8343, 5916, 558, 26, 784, 1114, 2011, 490, 334, 665, 10945, 26, 784, 711, 284, 281, 280, 4402, 346, 284, 308, 85, 32, 6551, 26, 3766, 81, 1040, 32, 1405, 2849, 34252, 81, 4092, 27, 397, 638, 6551, 346, 397, 638, 6551, 26, 3766, 81, 1040, 32, 36328, 81, 3539, 81, 9572, 904, 630, 1114, 2011, 32, 1855, 81, 761, 27, 397, 638, 6551, 346, 284, 829, 284, 415, 5441, 81, 426, 280, 23332, 81, 1040, 32, 10505, 2797, 5441, 558, 26, 784, 1114, 2011, 32, 1855, 81, 761, 81, 1515, 30, 13588, 630, 1114, 1977, 81, 2011, 27, 284, 308, 85, 32, 6551, 3609, 5527, 904, 101, 25, 904, 415, 5441, 81, 426, 27, 397, 638, 6551, 3609, 1234, 904, 101, 25, 904, 415, 5441, 81, 426, 27, 397, 638, 6551, 3609, 6649, 5049, 683, 397, 638, 6551, 346, 397, 638, 6551, 3609, 1017, 333, 800, 22639, 397, 638, 6551, 3609, 1017, 333, 2402, 22639, 397, 638, 6551, 346, 397, 638, 6551, 3609, 1017, 313, 1439, 33, 8404, 3557, 1690, 32, 90, 20, 683, 397, 638, 6551, 3609, 1017, 313, 1439, 33, 5566, 33, 11128, 81, 1753, 32, 90, 20, 683, 397, 638, 6551, 3609, 1017, 313, 1439, 33, 5566, 33, 29082, 81, 1753, 32, 90, 20, 683, 397, 638, 6551, 3609, 1017, 313, 1439, 33, 2810, 32, 90, 20, 683, 397, 638, 6551, 3609, 1017, 313, 4280, 33, 1260, 81, 3968, 81, 10199, 33, 1813, 32, 90, 20, 683, 397, 638, 6551, 346, 284, 829, 284, 281, 32, 17353, 26, 784, 1114, 3766, 81, 681, 81, 7101, 32, 936, 4058, 5916, 2130, 1157, 284, 7386, 81, 39742, 280, 308, 291, 630, 1114, 3766, 81, 681, 81, 7101, 32, 10505, 11342, 34283, 1157, 284, 415, 646, 7386, 81, 39742, 32, 29543, 2262, 397, 308, 85, 32, 6551, 346, 291, 638, 17353, 26, 7543, 81, 39742, 27, 291, 638, 6551, 346, 397, 829, 284, 281, 32, 17353, 26, 784, 1114, 3766, 81, 681, 81, 7101, 32, 936, 5916, 2130, 1157, 284, 281, 32, 6551, 346, 284, 415, 630, 1114, 2011, 32, 4642, 44, 397, 308, 85, 32, 6551, 463, 306, 683, 291, 638, 6551, 463, 306, 9748, 683, 291, 638, 6551, 463, 306, 683, 291, 638, 6551, 346, 397, 829, 397, 436, 2804, 328, 630, 1114, 2011, 32, 4642, 32, 2810, 2262, 291, 2804, 81, 687, 280, 630, 1114, 3766, 81, 681, 81, 7101, 32, 10505, 1653, 3354, 26, 324, 2804, 30, 324, 330, 4318, 660, 18147, 681, 27, 101, 18147, 426, 27, 101, 45, 683, 291, 415, 2804, 81, 687, 44, 616, 281, 32, 17353, 26, 2433, 81, 687, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 5, 4, 3, 3, 7, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7, 7, 4, 4, 7, 8, 6, 6, 4, 4, 7, 8, 8, 8, 6, 6, 7, 7, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 10, 9, 11, 10, 11, 9, 2, 2, 3, 4, 5, 4, 3, 3, 6, 6, 8, 4, 4, 15, 14, 15, 14, 16, 16, 16, 15, 16, 16, 16, 16, 16, 14, 12, 12, 13, 12, 10, 10, 11, 10, 13, 13, 13, 12, 13, 13, 13, 13, 13, 11, 11, 13, 14, 12, 13, 13, 13, 10, 8, 8, 9, 8, 6, 6, 4, 4, 7, 7, 7, 6, 6, 9, 9, 8, 9, 9, 9, 9, 8, 11, 10, 11, 9, 10, 10, 10, 10, 10, 8, 8, 8, 9, 10, 10, 10, 8, 4, 4, 33, 32, 33, 32, 35, 35, 35, 35, 33, 33, 34, 34, 34, 32, 30, 30, 31, 30, 33, 33, 33, 33, 31, 31, 32, 32, 32, 30, 28, 28, 29, 28, 30, 30, 30, 26, 26, 27, 26, 24, 24, 25, 24, 26, 26, 26, 26, 22, 22, 23, 22, 24, 24, 24, 24, 20, 20, 21, 20, 18, 18, 19, 18, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 16, 16, 17, 16, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 14, 14, 15, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 12, 12, 13, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 10, 10, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 8, 8, 9, 8, 6, 6, 4, 4, 7, 8, 7, 11, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 10, 9, 4, 4, 7, 7, 6, 6, 7, 7, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 9, 4, 4, 5, 6, 9, 9, 8, 9, 8, 5, 5, 15, 14, 15, 14, 12, 12, 13, 12, 13, 13, 13, 12, 10, 10, 11, 10, 8, 8, 4, 4, 7, 8, 7, 11, 10, 11, 11, 11, 11, 11, 9, 10, 10, 10, 9, 4, 4, 7, 8, 7, 4, 4, 5, 7, 8, 6, 7, 5, 5, 5, 17, 16, 17, 16, 18, 18, 14, 14, 15, 14, 16, 16, 16, 12, 12, 13, 12, 14, 14, 10, 10, 11, 10, 8, 8, 6, 6, 7, 7, 7, 11, 12, 10, 11, 9, 10, 9, 7, 7, 11, 11, 10, 10, 13, 14, 14, 14, 14, 14, 12, 13, 13, 13, 12, 12, 12, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 8, 8, 9, 10, 10, 9, 9, 9, 15, 16, 15, 16, 16, 16, 15 ]
[ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 1, 2, 1, 2, 5, 5, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 5, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 1, 2, 1, 2, 1, 1, 0, 0, 1, 4, 4, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 6, 1, 0, 0, 0, 2, 1, 6, 6, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 4, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 4, 4, 0, 2, 1, 4, 4, 9, 0, 2, 1, 2, 9, 9, 9, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 3, 3, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 5, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1 ]
[ 1070, 1156, 9666, 505, 1188, 20654, 203, 1070, 1156, 9666, 505, 1188, 1459, 81, 1126, 203, 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 465, 1933, 203, 465, 2771, 2872, 203, 465, 31074, 203, 465, 5741, 203, 465, 4134, 203, 465, 2322, 203, 465, 25679, 203, 465, 15798, 203, 465, 5237, 203, 1070, 34817, 18365, 32, 1040, 1188, 3850, 81, 978, 2536, 30, 4705, 81, 7490, 30, 438, 81, 2958, 203, 1070, 34817, 18365, 32, 1809, 1188, 2290, 81, 10950, 203, 1070, 34817, 18365, 32, 1809, 1188, 7893, 81, 13556, 30, 7893, 81, 11699, 30, 7893, 81, 16598, 203, 1070, 34817, 18365, 32, 24034, 32, 9769, 1188, 31466, 203, 1070, 34817, 18365, 32, 32071, 1188, 2290, 81, 32071, 30, 316, 46941, 203, 465, 3312, 32, 2304, 619, 8745, 203, 823, 2108, 21011, 26, 18986, 32, 7233, 711, 284, 477, 17614, 284, 665, 14553, 1339, 26, 6933, 711, 291, 34817, 18365, 13038, 280, 16569, 1062, 18365, 13038, 346, 291, 9011, 32, 2255, 280, 34817, 18365, 13038, 32, 6979, 346, 284, 665, 894, 2023, 42969, 26, 784, 711, 291, 26664, 280, 9200, 3406, 16128, 14003, 26, 784, 32, 2255, 27, 291, 26664, 32, 1553, 2023, 42969, 346, 284, 665, 894, 4772, 299, 26, 784, 711, 291, 26664, 280, 9200, 3406, 4772, 14003, 26, 784, 32, 2255, 27, 291, 26664, 32, 1553, 4772, 299, 776, 27020, 346, 203, 823, 8145, 984, 26, 984, 711, 203, 823, 15310, 984, 26, 984, 711, 203, 823, 16569, 1062, 18365, 13038, 984, 26, 984, 711, 203, 823, 9200, 3406, 1212, 1514, 26, 1473, 711, 284, 8741, 2345, 280, 313, 21287, 20, 10065, 45528, 280, 313, 22770, 20, 10065, 570, 613, 75, 280, 313, 22246, 75, 20, 261, 203, 823, 9200, 3406, 1212, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 3414, 711, 291, 630, 32, 426, 280, 3414, 32, 1070, 81, 3607, 291, 630, 32, 11176, 280, 739, 2009, 3038, 32, 452, 81, 3607, 1130, 291, 630, 32, 1489, 280, 9200, 3406, 1212, 1514, 32, 21287, 284, 665, 1156, 13707, 3207, 784, 711, 291, 442, 313, 4196, 3406, 1212, 44, 2149, 967, 16531, 1643, 26, 324, 630, 32, 426, 30, 26542, 26, 668, 26, 784, 32, 11176, 2610, 203, 823, 9200, 3406, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 711, 291, 630, 32, 2255, 280, 2149, 284, 665, 3850, 5909, 26, 784, 711, 291, 442, 630, 32, 2255, 32, 3028, 346, 284, 665, 40524, 1562, 26, 784, 30, 636, 711, 291, 442, 630, 32, 2255, 77, 426, 79, 284, 665, 1015, 2711, 26, 784, 30, 3414, 711, 291, 415, 3414, 32, 452, 81, 3607, 438, 1665, 44, 324, 442, 291, 415, 3414, 32, 1070, 81, 3607, 328, 630, 32, 2255, 44, 324, 630, 32, 2255, 77, 3038, 32, 1070, 81, 3607, 997, 11176, 32, 669, 26, 3038, 32, 452, 81, 3607, 27, 291, 813, 44, 324, 1541, 280, 9200, 3406, 1212, 26, 3038, 27, 324, 630, 32, 2255, 77, 3038, 32, 1070, 81, 3607, 79, 280, 1541, 284, 665, 1401, 4277, 12713, 26, 784, 30, 636, 711, 291, 442, 636, 328, 630, 32, 2255 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 1, 1, 3, 3, 1, 1, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 1, 2, 2, 4, 3, 4, 2, 1, 1, 5, 3, 3, 4, 5, 5, 6, 5, 4, 4, 8, 8, 7, 7, 9, 9, 9, 9, 5, 5, 8, 9, 7, 7, 10, 10, 9, 10, 9, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 7, 2, 2, 3, 4, 4, 4, 5, 4, 3, 3, 6, 6, 8, 8, 8, 8, 10, 9, 10, 8, 4, 4, 7, 8, 8, 8, 8, 8, 7, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 3, 2, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 0, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 6, 6, 2, 2, 4, 4, 6, 6, 2, 2, 5, 5, 4, 4, 6, 6, 6, 0, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 7, 8, 8, 8, 4, 4, 7, 8, 6, 6, 8, 11, 10, 11, 11, 11, 9, 4, 4, 7, 8, 6, 6, 8, 8, 8, 7, 8, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 8, 7, 7, 7, 8, 9, 7, 7, 9, 11, 11, 13, 12, 13, 11, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 5, 4, 3, 3, 5, 8, 9, 7, 8, 7, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 6, 7, 6, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 8, 8, 8, 6, 6, 5, 5, 5, 4, 4, 5, 7, 8, 8, 8, 6, 6, 7, 8, 5, 5, 5, 12, 13, 11, 13, 12, 13, 13, 13, 11, 11, 9, 10, 9, 11, 10, 11, 11, 11, 9, 5, 5, 6, 6, 6, 9, 9, 11, 11, 11, 12, 11, 7, 7, 11, 12, 10, 12, 11, 12, 12, 12, 10, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 4, 3, 3, 5, 7, 7, 8, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 0, 9, 9, 0, 10, 10, 0, 11, 11, 0, 12, 12, 0, 1, 2, 12, 12, 0, 0, 0, 12, 12, 0, 0, 12, 12, 0, 0, 0, 13, 13, 0, 1, 2, 13, 13, 0, 0, 0, 14, 14, 0, 1, 2, 14, 14, 0, 0, 14, 14, 0, 0, 14, 14, 0, 0, 0, 15, 15, 0, 1, 2, 1, 4, 15, 15, 0, 16, 16, 0, 1, 2, 16, 16, 0, 0, 16, 16, 0, 0, 17, 17, 0, 2, 1, 1, 0, 18, 18, 1, 2, 0, 1, 2, 2, 18, 18, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 1, 4, 4, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 1, 4, 4, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 1, 0, 19, 19, 1, 2, 1, 2, 0, 20, 20, 1, 2, 1, 2, 0, 21, 21, 1, 1, 1, 1, 2, 1, 2, 0, 22, 22, 1, 1, 1, 2, 1, 2, 22, 22, 0, 0, 0, 1, 2, 4, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 2, 0, 0, 23, 23, 1, 1, 2, 1, 2, 23, 23, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 4, 4, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 0, 2, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 24, 24, 1, 2, 1, 2, 24, 24, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 4, 4, 3, 1, 2, 1, 2, 2, 2, 3, 3, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 4, 4, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 4, 4, 4, 1, 1, 2, 1, 2, 2, 2, 4, 4, 0, 0, 0, 2, 2 ]
[ 505, 13411, 505, 280, 313, 1617, 33, 3483, 33, 69, 8407, 33, 3653, 33, 68, 3746, 32, 978, 225, 38, 34, 38, 37, 225, 36, 34, 34, 43, 33, 34, 36, 33, 36, 37, 225, 34, 43, 44, 34, 40, 44, 38, 39, 309, 5486, 20, 203, 465, 358, 8407, 32, 1711, 203, 465, 358, 8407, 32, 1796, 203, 465, 358, 8407, 32, 1733, 203, 589, 4450, 26, 2121, 711, 284, 665, 559, 3746, 2214, 26, 2121, 47, 2121, 711, 291, 1712, 280, 358, 8407, 32, 1711, 32, 1711, 24542, 68, 3746, 81, 1197, 8670, 370, 8493, 68, 3746, 81, 1197, 8670, 2378, 683, 291, 442, 358, 8407, 32, 1796, 32, 1796, 26, 1141, 280, 1712, 30, 4533, 280, 4533, 27, 284, 4533, 32, 68, 3746, 280, 559, 3746, 2214, 284, 4533, 710, 68, 3746, 785, 2033, 280, 330, 899, 101, 25, 284, 4533, 710, 68, 3746, 81, 1197, 785, 958, 280, 330, 331, 25, 284, 4533, 710, 68, 3746, 81, 1197, 6880, 785, 225, 280, 358, 8407, 32, 1733, 32, 1583, 1881, 25416, 284, 4533, 710, 68, 3746, 81, 1197, 8670, 785, 264, 280, 8493, 68, 3746, 81, 1197, 398, 68, 3746, 81, 1197, 6880, 398, 9682, 25, 203, 589, 5375, 26, 2121, 711, 284, 442, 4533, 32, 22346, 463, 899, 101, 683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 4, 4, 4, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 3, 2, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 4, 4, 4, 6, 5, 6, 4, 3, 3, 6, 6, 10, 9, 10, 8, 9, 8, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 4, 4, 5, 9, 8, 9, 7, 8, 7, 9, 8, 8, 7, 7, 8, 8, 7, 2, 2, 5, 6, 6, 4, 4, 5, 5, 2, 2, 5, 7, 7, 7, 4, 4, 4, 6, 6, 6, 2, 2, 5, 7, 7, 7, 7, 7, 4, 4, 4, 6, 6, 2, 2, 5, 7, 7, 7, 7, 7, 7, 4, 4, 4, 8, 7, 8, 6, 7, 7, 6, 2, 2, 5, 7, 7, 7, 7, 7, 7, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 6, 5, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 1, 2, 0, 4, 4, 2, 1, 2, 4, 4, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 3, 3, 1, 4, 4, 0, 2, 2, 0, 0, 2, 2, 4, 4, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 5, 5, 2, 1, 2, 5, 5, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1070, 46624, 32, 4280, 1188, 1201, 81, 16708, 203, 465, 3226, 654, 203, 465, 5237, 203, 1070, 1288, 265, 271, 1970, 1188, 1288, 8737, 203, 465, 1288, 265, 271, 1970, 203, 1070, 894, 2304, 1188, 40688, 30, 3995, 81, 22296, 81, 7986, 203, 589, 894, 81, 1580, 81, 1786, 81, 1580, 81, 5457, 81, 1793, 81, 4396, 2262, 284, 6998, 280, 3995, 81, 22296, 81, 7986, 346, 284, 443, 4300, 27051, 26, 4501, 271, 1970, 32, 2059, 711, 291, 665, 598, 2507, 83, 26, 784, 711, 324, 442, 225, 38, 36, 291, 665, 1015, 26, 784, 30, 312, 30, 323, 711, 324, 3226, 654, 32, 7840, 26, 35, 34, 27, 324, 442, 312, 474, 323, 284, 17993, 280, 4300, 27051, 346, 284, 17993, 32, 2539, 26, 7986, 27, 284, 3226, 654, 32, 15697, 26, 14382, 32, 1945, 27, 284, 2043, 280, 1288, 265, 271, 1970, 32, 1486, 26, 5457, 47, 36, 27, 284, 2043, 32, 3517, 26, 7986, 27, 284, 2498, 81, 1267, 280, 2043, 32, 669, 26, 35, 30, 225, 38, 30, 2498, 47, 1815, 27, 284, 415, 5237, 32, 1648, 81, 1338, 333, 308, 36, 30, 225, 41, 711, 291, 665, 617, 1409, 81, 1793, 81, 862, 81, 16708, 2262, 324, 1459, 2498, 81, 1267, 32, 371, 346, 291, 1201, 81, 16708, 26, 4501, 271, 1970, 32, 4276, 24742, 30, 617, 1409, 81, 1793, 81, 862, 81, 16708, 27, 284, 813, 44, 291, 623, 1201, 81, 16708, 26, 4501, 271, 1970, 32, 4276, 24742, 711, 324, 1459, 2498, 81, 1267, 32, 371, 346, 284, 2043, 32, 2679, 346, 284, 17993, 32, 2679, 346, 203, 589, 894, 81, 1580, 81, 1786, 81, 1793, 81, 4396, 2262, 284, 6998, 280, 3995, 81, 22296, 81, 7986, 346, 284, 443, 4300, 27051, 26, 4501, 271, 1970, 32, 2059, 711, 291, 665, 598, 2507, 83, 26, 784, 711, 324, 442, 225, 38, 36, 291, 665, 1015, 26, 784, 30, 312, 30, 323, 711, 324, 442, 312, 474, 323, 284, 17993, 280, 4300, 27051, 346, 284, 17993, 32, 2539, 26, 7986, 27, 284, 3226, 654, 32, 15697, 26, 14382, 32, 1945, 27, 284, 2043, 280, 1288, 265, 271, 1970, 32, 1486, 346, 284, 2043, 32, 3517, 26, 7986, 27, 284, 2498, 81, 1267, 280, 2043, 32, 315, 2507, 83, 26, 4396, 47, 1815, 27, 284, 1201, 2498, 81, 1267, 32, 371, 346, 610, 225, 38, 36, 284, 2498, 81, 1267, 280, 2043, 32, 669, 26, 35, 30, 225, 38, 30, 2498, 47, 1815, 27, 284, 1201, 2498, 81, 1267, 32, 371, 346, 610, 225, 39, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 1, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 3, 3, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 0, 1, 1, 3, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 5, 6, 6, 6, 7, 6, 5, 5, 7, 8, 8, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 5, 5, 10, 9, 10, 9, 10, 10, 9, 6, 6, 7, 8, 8, 2, 2, 4, 4, 6, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 6, 5, 6, 5, 7, 6, 7, 5, 2, 2, 4, 4, 7, 7, 7, 6, 7, 6, 8, 7, 8, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 7, 6, 6, 7, 8, 6, 2, 2, 3, 5, 6, 6, 6, 4, 4, 6, 5, 5, 6, 5, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 7, 10, 10, 9, 10, 9, 4, 4, 7, 7, 7, 9, 9, 9, 8, 9, 9, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 3, 3, 4, 4, 4, 6, 10, 10, 10, 12, 12, 12, 11, 12, 12, 10, 6, 6, 8, 11, 11, 10, 11, 10, 2, 2, 5, 6, 5, 2, 2, 5, 6, 5, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 4, 4, 6, 6, 6, 6, 6, 2, 2, 3, 4, 4, 6, 6, 6, 5, 6, 4, 3, 3, 5, 6, 6, 6, 7, 6, 5, 5, 7, 8, 8, 4, 4, 5, 6, 7, 6, 6, 6, 6, 6, 5, 5, 7, 8, 8, 2, 2, 4, 4, 6, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 6, 5, 6, 5, 7, 6, 7, 5, 2, 2, 4, 4, 7, 7, 7, 6, 7, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 5, 5, 4, 4, 6, 7, 7, 7, 6, 8, 7, 8, 6, 2, 2, 3, 7, 7, 6, 7, 6, 4, 4, 5, 5, 2, 2, 5, 5, 4, 4, 6, 7, 6, 7, 6, 6, 7, 6, 6, 7, 8, 6, 2, 2, 3, 7, 7, 6, 7, 6, 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 ]
[ 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 6, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 2, 1, 4, 4, 8, 0, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 8, 8, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 3, 3, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 8, 8, 4, 4, 4, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 4, 4, 0, 2, 1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 7, 0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 4, 4, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 4, 4, 0, 0, 0, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 1, 0, 1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 4, 4, 8, 0, 0, 0, 2, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 3, 1, 1, 5, 2, 1, 4, 4, 10, 0, 0, 0, 2, 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 ]
[ 1070, 1156, 9666, 505, 1188, 308, 11148, 81, 465, 30, 20654, 30, 1459, 81, 1126, 27, 203, 505, 2559, 32095, 505, 280, 827, 203, 465, 2322, 203, 465, 2361, 203, 465, 13092, 203, 1070, 4395, 1188, 2964, 203, 1070, 28520, 32, 1647, 81, 2304, 32, 4573, 32, 9751, 3945, 32, 9751, 3945, 1188, 36101, 15886, 1972, 203, 1270, 44, 284, 645, 28520, 32, 3477, 32, 4573, 32, 9751, 3945, 1188, 27474, 3945, 81, 2946, 81, 2837, 81, 3789, 203, 7343, 29986, 44, 284, 13092, 32, 5961, 440, 9752, 646, 2454, 2129, 7896, 436, 6325, 392, 2608, 81, 1647, 81, 2649, 47, 1815, 27, 203, 50, 12408, 32, 12940, 26, 2837, 539, 47, 1815, 27, 203, 589, 3387, 81, 3613, 26, 3613, 265, 711, 284, 3387, 81, 823, 81, 3613, 280, 47737, 32, 2675, 463, 19441, 32, 3477, 32, 4573, 32, 9751, 3945, 32, 9751, 3945, 81, 2946, 81, 2837, 81, 3789, 32, 2798, 683, 284, 442, 3387, 81, 823, 81, 3613, 203, 45772, 81, 2386, 280, 36101, 15886, 1972, 26, 3841, 81, 3613, 27, 203, 589, 894, 81, 2946, 81, 2837, 81, 3789, 81, 16777, 26, 3613, 265, 711, 284, 5365, 81, 1959, 81, 3613, 280, 47737, 32, 2675, 463, 19441, 32, 1647, 81, 2304, 32, 4573, 32, 9751, 3945, 32, 9751, 3945, 32, 34114, 15886, 1972, 32, 3968, 683, 284, 739, 81, 1959, 81, 1267, 280, 5053, 1517, 950, 330, 3127, 370, 330, 525, 81, 1959, 950, 330, 3705, 370, 330, 525, 81, 1517, 950, 225, 36, 34, 34, 111, 284, 739, 81, 1959, 81, 3613, 280, 47737, 32, 2675, 463, 19441, 32, 1647, 81, 2304, 32, 4573, 32, 9751, 3945, 32, 9751, 3945, 32, 34114, 15886, 1972, 32, 470, 370, 442, 81, 853, 47, 470, 81, 1959, 81, 1267, 27, 284, 1509, 81, 605, 280, 301, 291, 330, 699, 950, 330, 2300, 370, 291, 330, 1293, 950, 330, 2689, 370, 291, 330, 2946, 81, 2837, 81, 3789, 950, 301, 324, 330, 2837, 81, 3789, 81, 1163, 950, 330, 4898, 370, 324, 330, 2837, 81, 3789, 81, 893, 950, 330, 4898, 370, 324, 330, 1536, 81, 1163, 81, 761, 950, 330, 858, 81, 853, 81, 39, 370, 324, 330, 1536, 81, 893, 81, 761, 950, 330, 858, 81, 853, 81, 40, 25, 291, 801, 291, 330, 104, 4722, 950, 330, 2388, 6040, 284, 438, 81, 731, 30, 5372, 30, 1789, 280, 27474, 3945, 81, 2946, 81, 2837, 81, 3789, 32, 9751, 3945, 81, 2946, 26, 1131, 81, 605, 30, 296, 500, 81, 2386, 27, 284, 2799, 81, 605, 280, 301, 291, 330, 2837, 31, 3789, 31, 1163, 950, 330, 4898, 370, 291, 330, 2837, 31, 3789, 31, 893, 950, 330, 4898, 370, 291, 330, 1536, 31, 1163, 31, 761, 950, 330, 858, 81, 853, 81, 39, 370, 291, 330, 1536, 31, 893, 31, 761, 950, 330, 858, 81, 853, 81, 40, 25, 284, 320, 284, 739, 81, 1959, 81, 3613, 32, 862, 81, 10910, 81, 1793, 463, 2946, 370, 330, 2837, 31, 3789, 370, 706, 47, 3140, 81, 605, 30, 354, 4722, 1057, 2388, 683, 284, 5365, 81, 1959, 81, 3613 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 3, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 4, 5, 4, 5, 4, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 1, 2, 2, 2, 2, 2, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 7, 8, 6, 0, 2, 5, 4, 5, 4, 6, 6, 5, 6, 4, 1, 2, 2, 3, 3, 3, 4, 4, 3, 2, 2, 6, 6, 6, 6, 5, 5, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 4, 5, 5, 5, 5, 0, 3, 3, 3, 2, 2, 4, 4, 4, 5, 5, 5, 4, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 2, 5, 5, 5, 5, 4, 4, 8, 8, 6, 8, 8, 5, 8, 8, 8, 8, 6, 8, 8, 5, 8, 8, 8, 8, 6, 7, 7, 7, 5, 2, 2, 5, 5, 5, 5, 4, 4, 6, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 7, 8, 8, 8, 8, 8, 6, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 7, 7, 5, 5, 8, 8, 8, 6, 8, 8, 2, 2, 6, 6, 5, 5, 5, 5, 4, 4, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 7, 7, 6, 2, 2, 5, 5, 4, 4, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 5, 5, 2, 2, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 5, 7, 7, 5, 7, 7, 7, 7, 5, 6, 7, 7, 7, 5, 5, 7, 6, 8, 8, 2, 2, 6, 6, 6, 6 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 6, 6, 1, 2, 2, 2, 1, 4, 1, 6, 6, 1, 8, 8, 6, 6, 0, 0, 0, 7, 7, 7, 7, 0, 1, 2, 1, 4, 1, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 3, 3, 3, 3, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 3, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 8, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 10, 10, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 10, 10, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 2, 2, 1, 1, 1, 2, 5, 2, 2, 2, 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, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 7, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 4, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 5, 2, 2, 2, 1, 1, 0, 7, 1, 2, 4, 4, 0, 0, 0, 0 ]
[ 505, 68, 3746, 779, 505, 280, 3941, 606, 11033, 203, 465, 5237, 30, 2322, 30, 22977, 30, 802, 30, 316, 203, 465, 37330, 1186, 203, 1070, 37330, 1186, 32, 2852, 32, 1761, 1188, 10285, 203, 1070, 37330, 1186, 32, 2852, 32, 13395, 32, 14591, 1188, 5799, 1215, 203, 1070, 37330, 1186, 32, 2852, 32, 13395, 32, 1721, 2416, 1188, 9073, 1853, 203, 2897, 280, 225, 34, 203, 589, 2421, 7118, 1215, 26, 3051, 30, 13538, 983, 30, 3362, 8063, 334, 415, 2322, 32, 983, 32, 4658, 26, 3362, 8063, 284, 22977, 32, 100, 41718, 26, 3362, 829, 334, 1477, 280, 2322, 32, 33115, 346, 334, 2322, 32, 10174, 26, 3362, 829, 334, 2322, 32, 31015, 26, 3362, 829, 334, 5799, 7118, 280, 5799, 1215, 26, 13538, 983, 829, 334, 415, 9399, 44, 284, 1459, 330, 10189, 16341, 15525, 68, 4518, 13399, 438, 6078, 284, 1459, 5799, 7118, 284, 5237, 32, 9362, 32, 9321, 346, 334, 13538, 668, 280, 802, 32, 2998, 26, 5799, 7118, 30, 25487, 829, 334, 415, 9399, 44, 284, 1459, 4247, 284, 1459, 330, 7118, 1682, 438, 6078, 284, 1459, 13538, 668, 284, 1459, 4247, 284, 5237, 32, 9362, 32, 9321, 346, 334, 436, 1519, 328, 13538, 668, 44, 284, 415, 2322, 32, 983, 32, 4658, 26, 1519, 8063, 397, 415, 9399, 44, 291, 1459, 330, 47648, 436, 7176, 11323, 328, 6078, 291, 1459, 1519, 291, 1459, 330, 1106, 12110, 25, 291, 736, 280, 9073, 1853, 26, 225, 34, 30, 330, 3246, 330, 474, 1519, 474, 330, 11734, 762, 37849, 829, 291, 415, 736, 710, 2950, 12132, 616, 1459, 736, 710, 882, 785, 291, 813, 44, 616, 1459, 736, 291, 1459, 330, 1106, 12110, 25, 397, 1688, 280, 9073, 1853, 26, 225, 34, 30, 330, 3246, 330, 474, 1519, 474, 330, 11734, 762, 37849, 829, 397, 415, 9399, 44, 291, 415, 646, 1688, 710, 2950, 12132, 616, 1459, 330, 12826, 326, 25, 616, 1459, 330, 5711, 30, 3708, 623, 12802, 6078, 616, 1459, 1688, 616, 1459, 330, 12826, 326, 25, 397, 415, 646, 1688, 710, 882, 8150, 34, 2786, 291, 13538, 8820, 280, 1688, 710, 882, 8150, 35, 997, 2998, 26, 3228, 96, 25, 829, 291, 436, 5034, 328, 13538, 8820, 44, 616, 415, 2322, 32, 983, 32, 4658, 26, 5034, 8063, 324, 4870, 280, 2322, 32, 983, 32, 15705, 26, 5034, 829, 324, 1688, 280, 9073, 1853, 26, 225, 34, 30, 330, 2506, 429, 101, 330, 474, 596, 26, 5034, 829, 474, 330, 330, 474, 596, 26, 4870, 829, 829, 324, 415, 9399, 44, 1090, 415, 646, 1688, 710, 2950, 12132, 400, 1459, 330, 1820, 25, 400, 1459, 330, 5711, 30, 3708, 6892, 2552, 6078, 400, 1459, 330, 974, 44, 5769, 4870, 400, 1459, 330, 1215, 44, 5769, 5034, 400, 1459, 1688, 400, 1459, 330, 1820, 25, 397, 415, 9399, 44, 291, 1459, 330, 47648, 436, 3051, 1110, 803, 328, 6078, 291, 1459, 1519, 291, 1459, 330, 1106, 12110, 25, 291, 736, 280, 9073, 1853, 26, 225, 34, 30, 330, 3246, 330, 474, 1519, 474, 330, 1109, 2388, 1110, 37849, 829, 291, 415, 736, 710, 2950, 12132, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 0, 3, 2, 2, 3, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 6, 7, 5, 6, 5, 5, 5, 3, 3, 7, 8, 8, 7, 7, 7, 2, 2, 4, 4, 6, 7, 6, 2, 2, 5, 6, 5, 5, 5, 2, 2, 5, 6, 5, 5, 5, 2, 2, 5, 4, 4, 6, 6, 6, 7, 6, 2, 2, 3, 3, 3, 3, 5, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 5, 6, 4, 4, 8, 9, 7, 8, 7, 2, 2, 5, 4, 4, 6, 7, 6, 6, 7, 6, 6, 6, 2, 2, 3, 3, 3, 3, 5, 4, 4, 5, 7, 7, 7, 7, 4, 4, 5, 6, 4, 4, 5, 4, 4, 8, 9, 7, 8, 7, 2, 2, 3, 3, 3, 4, 3, 3, 3, 5, 8, 9, 7, 8, 7, 7, 7, 5, 5, 7, 7, 7, 7, 9, 11, 11, 11, 11, 11, 11, 8, 8, 9, 8, 8, 9, 11, 11, 11, 8, 8, 10, 10, 12, 12, 12, 13, 12, 12, 16, 16, 14, 14, 13, 13, 15, 15, 15, 12, 8, 8, 9, 10, 12, 12, 9, 9, 11, 12, 14, 14, 9, 9, 10, 10, 10, 12, 8, 8, 9, 11, 11, 11, 6, 6, 8, 8, 10, 10, 10, 11, 10, 10, 14, 14, 12, 12, 11, 11, 13, 13, 13, 10, 6, 6, 7, 7, 7, 7, 9, 10, 11, 13, 13, 9, 9, 11, 13, 13, 13, 10, 10, 11, 13, 13, 13, 13, 13, 13, 10, 10, 11, 10, 10, 11, 13, 13, 13, 6, 6, 7, 8, 10, 12, 12, 10, 9, 7, 7, 11, 10, 10, 14, 16, 16, 14, 13, 13, 12, 12, 15, 14, 12, 8, 8, 9, 9, 9, 10, 9, 9, 9, 11, 14, 15, 13, 14, 13, 13, 13, 11, 11, 14, 14, 17, 18, 16, 17, 16, 16, 16, 12, 12, 14, 14, 16, 16, 16, 17, 16, 16, 21, 21, 21, 21, 19, 19, 21, 21, 21, 18, 18, 20, 17, 17, 19, 19, 19, 16, 12, 12, 13, 13, 13, 13, 15, 16, 17, 19, 19, 15, 15, 17, 19, 19, 16, 16, 17, 19, 19, 19, 19, 19, 19, 16, 16, 17, 19, 19, 19, 17, 16, 16, 17, 19, 19, 19, 17, 16, 16, 17, 16, 16, 17, 19, 19, 6, 6, 7, 7, 7, 7, 9, 11, 11, 11, 11, 11, 11, 11, 8, 8, 9, 8, 8, 9, 11, 11, 11, 8, 8, 10, 10, 12, 12, 12, 13, 12, 12, 16, 16, 14, 14, 13, 13, 15, 15, 15, 15, 12, 8, 8, 9, 10, 12, 12, 9 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 1, 2, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 1, 4, 1, 6, 4, 4, 0, 0, 5, 5, 0, 1, 2, 1, 4, 1, 6, 6, 5, 5, 0, 0, 0, 0, 0, 2, 0, 7, 7, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 7, 7, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 4, 4, 5, 5, 5, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 0, 2, 0, 2, 1, 4, 4, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 4, 4, 7, 7, 7, 7, 0, 3, 3, 1, 1, 1, 1, 1, 3, 3, 2, 1, 3, 3, 3, 3, 3, 0, 2, 0, 2, 1, 4, 4, 8, 8, 8, 3, 8, 8, 8, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 2, 1, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 1, 1, 1, 1, 3, 3, 4, 1, 1, 2, 4, 4, 0, 1, 1, 2, 4, 4, 4, 4, 4, 0, 3, 3, 5, 1, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 1, 1, 1, 1, 3, 3, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 3, 3, 3, 1, 1, 2, 3, 3, 3, 1, 0, 1, 2, 2, 1, 3, 3, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 3, 3, 1, 1, 1, 3, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 1, 1, 1, 1, 3, 3, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 3, 2, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 3, 3, 3, 4, 3, 3, 5, 1, 2, 3, 3, 4, 4, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 2, 1, 1, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 3, 1, 1, 1, 1, 1, 3, 3, 4, 1, 1, 2, 4 ]
[ 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, 6932, 203, 823, 5477, 279, 85, 36, 3989, 26, 1120, 16653, 711, 284, 12265, 81, 2474, 280, 330, 3374, 279, 85, 36, 32, 7598, 25, 284, 617, 5915, 81, 2413, 280, 540, 25, 641, 49, 555, 18470, 18470, 1499, 8169, 6505, 3374, 279, 85, 36, 8169, 7598, 33, 5000, 33, 110, 19832, 31, 3374, 279, 85, 36, 8169, 103, 31, 466, 302, 4866, 8169, 2173, 33, 5000, 8169, 11797, 78, 49, 3424, 78, 12117, 6076, 47, 2502, 49, 66, 46, 314, 5213, 86, 29, 9905, 284, 617, 24685, 280, 7316, 291, 330, 965, 950, 330, 525, 555, 1499, 32, 3374, 279, 85, 36, 32, 7598, 33, 5000, 33, 35, 36, 35, 40, 37, 370, 291, 330, 954, 39, 950, 330, 34, 40, 34, 35, 39, 42, 38, 36, 42, 84, 40, 39, 34, 88, 42, 43, 40, 85, 39, 38, 36, 1479, 2882, 37, 86, 40, 38, 42, 41, 88, 370, 291, 330, 1338, 81, 2665, 950, 301, 324, 330, 314, 950, 330, 35, 36, 35, 40, 37, 370, 324, 330, 407, 950, 330, 317, 38, 370, 324, 330, 1311, 950, 330, 70, 530, 2515, 6288, 10821, 36269, 535, 370, 324, 330, 6932, 950, 225, 35, 36, 36, 30, 291, 801, 284, 801, 301, 291, 330, 965, 950, 330, 525, 555, 19832, 31, 3374, 279, 85, 36, 32, 103, 31, 466, 302, 4866, 32, 2173, 33, 5000, 32, 11797, 49, 314, 6076, 47, 35, 35, 38, 36, 41, 24, 30154, 47, 644, 91, 370, 291, 330, 2585, 81, 19807, 950, 2933, 30, 284, 16752, 284, 665, 617, 4543, 81, 8281, 26, 784, 30, 1984, 711, 291, 6027, 81, 314, 280, 630, 1114, 2872, 81, 314, 26, 965, 27, 291, 41164, 280, 630, 1114, 4984, 81, 1840, 1637, 26, 324, 330, 525, 555, 1499, 32, 3374, 279, 85, 36, 32, 7598, 33, 5000, 9708, 101, 25, 904, 6027, 81, 314, 30, 6027, 81, 314, 27, 291, 15477, 280, 1605, 291, 436, 4950, 6027, 81, 965, 328, 316, 32, 32852, 26, 100, 25, 761, 78, 101, 28, 12194, 101, 8088, 1365, 78, 785, 2502, 33581, 49, 5421, 35, 370, 41164, 711, 324, 415, 6027, 81, 965, 32, 15990, 463, 2051, 317, 555, 7831, 400, 540, 2868, 280, 316, 32, 1903, 26, 528, 540, 28249, 12390, 66, 46, 965, 48, 2051, 317, 555, 12456, 33, 6155, 33, 12390, 66, 46, 725, 4503, 20737, 490, 12390, 66, 46, 1066, 81, 983, 48, 317, 38, 15457, 29, 9501, 370, 6027, 81, 965, 27, 400, 15477, 32, 1689, 1371, 528, 330, 965, 950, 540, 2868, 32, 1363, 463, 965, 1425, 528, 330, 1643, 81, 314, 950, 330, 2051, 317, 370, 528, 330, 407, 950, 330, 1306, 104, 370, 528, 330, 725, 950, 540, 2868, 32, 1363, 463, 725, 1425, 528, 330, 1066, 81, 983, 950, 540, 2868, 32, 1363, 463, 1066, 81, 983, 1425, 528, 330, 1637, 81, 965, 950, 1984, 30, 400, 1790, 324, 813, 44, 400, 15477, 32, 1689, 1371, 528 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 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, 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, 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, 8, 8, 11, 11, 9, 11, 11, 11, 8, 8, 11, 11, 9, 11, 11, 11, 11, 11, 11, 11, 11, 8, 8, 11, 11, 9, 9, 10, 10, 10, 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, 9, 7, 8, 6, 6, 5, 2, 3, 4, 4, 4, 4, 4, 5, 4, 5, 3, 3, 7, 7, 7, 6, 9, 9, 9, 9, 9, 8, 9, 8, 4, 7, 6, 9, 9, 9, 9, 9, 9, 8, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 10, 10, 10, 8, 9, 9, 9, 8, 4, 7, 6, 7, 4, 5, 6, 7, 7, 7, 5, 8, 7, 8, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 8, 5, 5, 7, 10, 10, 10, 9, 10, 11, 11, 11, 11, 7, 7, 11, 11, 10, 13, 12, 13, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 13, 13, 13, 12, 8, 12, 11, 12, 12, 12, 15, 15, 13, 16, 16, 15, 16, 17, 17, 12, 12, 15, 15, 15, 15, 13, 15, 15, 15, 12, 12, 15, 15, 13, 15, 15, 15, 12, 12, 15, 15, 13, 16, 16, 15, 16, 17, 17, 12, 12, 15, 15, 15, 15, 13, 16, 16, 15, 16, 17, 17, 17, 17, 12, 12, 15, 15, 15, 15, 13, 14, 12, 12, 11, 7, 8, 8, 8, 13, 12, 13, 13 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 4, 4, 1, 1, 1, 1, 2, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 2, 5, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 7, 7, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 3, 2, 3, 3, 2, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 4, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 3, 3, 3, 1, 4, 0, 0, 2, 4, 3, 1, 2, 2, 2, 3, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 3, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 5, 0, 1, 1, 1, 1, 0, 1, 7, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 9, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 11, 2, 1, 1, 1, 0, 4, 4, 4, 0, 0, 2, 1 ]
[ 465, 16672, 203, 465, 1133, 203, 465, 16539, 203, 465, 5237, 203, 465, 316, 203, 1070, 16539, 1188, 18055, 2861, 924, 203, 15811, 280, 330, 508, 32, 1382, 5466, 279, 4339, 32, 4038, 1580, 25, 203, 35342, 81, 4065, 280, 330, 4038, 33, 1617, 33, 3779, 33, 1066, 33, 272, 31, 2045, 33, 32455, 890, 25, 203, 521, 6870, 81, 35342, 280, 330, 4038, 33, 1617, 33, 1831, 33, 575, 33, 1294, 33, 21907, 32, 2760, 25, 203, 1893, 61, 81, 4065, 81, 9302, 280, 330, 4038, 33, 1832, 33, 10931, 33, 25245, 33, 3779, 33, 102, 2653, 31, 4038, 31, 104, 2537, 31, 3779, 32, 25245, 25, 203, 15456, 3602, 81, 4065, 280, 330, 15314, 81, 15456, 3602, 25, 203, 11809, 81, 9052, 280, 330, 8121, 33, 933, 81, 1956, 25, 203, 3922, 280, 16672, 32, 26633, 26, 669, 81, 4756, 47, 1815, 27, 203, 3922, 32, 669, 81, 2669, 440, 2142, 392, 3049, 347, 1812, 1503, 1451, 308, 87, 32, 89, 32, 225, 37, 32, 35, 32, 38, 14451, 203, 3922, 32, 669, 81, 2669, 13692, 1436, 392, 4825, 95, 392, 3049, 347, 2633, 1474, 32, 16010, 372, 330, 2062, 354, 46, 2142, 6457, 657, 203, 3922, 32, 669, 81, 2669, 13692, 1439, 31, 2142, 392, 4825, 84, 392, 3049, 347, 4678, 2604, 372, 8868, 8187, 392, 1244, 47, 2521, 27, 203, 3922, 32, 669, 81, 2669, 13692, 5961, 31, 2142, 392, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 30, 528, 3049, 347, 2555, 646, 1930, 312, 537, 5554, 2604, 32, 19462, 30, 5840, 4905, 3621, 18891, 810, 333, 2142, 19830, 203, 3922, 32, 669, 81, 2669, 13692, 5961, 31, 21907, 392, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 30, 528, 3049, 347, 2555, 646, 13012, 436, 600, 4459, 27671, 657, 203, 3922, 32, 669, 81, 2669, 13692, 19796, 31, 6426, 392, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 30, 528, 3049, 347, 6668, 707, 28220, 3404, 328, 322, 5867, 657, 203, 3922, 32, 669, 81, 2669, 13692, 5961, 31, 4635, 392, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 30, 528, 3049, 347, 2555, 646, 1968, 600, 2443, 322, 18315, 28791, 372, 894, 544, 312, 4011, 3298, 657, 203, 3922, 32, 669, 81, 2669, 13692, 5961, 31, 3141, 392, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 30, 528, 3049, 347, 2555, 646, 1487, 312, 537, 3621, 544, 7440, 657, 203, 3922, 32, 669, 81, 2669, 13692, 24223, 31, 1945, 392, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 30, 528, 3049, 347, 15494, 1330, 1420, 1346, 35231, 6350, 30, 2258, 1459, 2769, 1182, 20164, 657, 203, 3922, 32, 669, 81, 2669, 13692, 5961, 31, 1696, 31, 4882, 392, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 30, 528, 3049, 347, 15494, 1330, 1420, 322, 894, 13264, 544, 322, 2196, 6652, 657, 203, 3922, 32, 669, 81, 2669, 13692, 5961, 31, 11402, 392, 2125, 347, 2157, 81, 1508, 392, 1244, 47, 2700, 30, 528, 3049, 347, 15494, 1330, 4465, 436, 33657, 1968, 372, 6153, 657, 203, 589, 1505, 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, 0, 1, 1, 1, 1, 3, 3, 0, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 0, 3, 2, 2, 4, 5, 4, 6, 6, 6, 5, 6, 4, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 3, 5, 5, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 5, 5, 3, 4, 6, 6, 6, 6, 6, 6, 3, 4, 5, 3, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 3, 4, 4, 4, 3, 5, 5, 5, 5, 3, 4, 6, 6, 6, 6, 3, 4, 5, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 1, 2 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 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, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 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, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 2, 1, 7, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 24, 24, 1 ]
[ 465, 7395, 14510, 203, 465, 45977, 203, 465, 622, 2215, 203, 465, 42406, 203, 465, 2361, 203, 465, 3995, 203, 465, 5237, 203, 465, 1133, 203, 589, 6886, 2262, 284, 1459, 313, 8795, 1924, 284, 1459, 313, 5536, 81, 2851, 81, 2602, 32, 978, 7419, 2004, 20, 284, 1459, 313, 19659, 7419, 2004, 32, 1260, 10107, 7419, 2004, 32, 2602, 20, 203, 589, 438, 81, 2171, 26, 101, 711, 284, 1596, 44, 291, 1897, 26, 101, 27, 291, 442, 2933, 284, 2940, 10091, 44, 291, 442, 3177, 203, 589, 9336, 26, 101, 711, 284, 345, 280, 42406, 32, 5567, 39, 35, 36, 346, 284, 345, 32, 1877, 26, 101, 27, 284, 442, 345, 32, 6949, 13995, 346, 203, 589, 3882, 2185, 32858, 26, 2895, 711, 284, 2464, 280, 1946, 26, 1003, 32, 1003, 346, 319, 225, 35, 34, 34, 34, 27, 284, 6717, 280, 3995, 32, 300, 359, 363, 5960, 26, 40, 38, 27, 284, 17940, 280, 9336, 26, 466, 26, 2174, 27, 474, 596, 26, 7615, 490, 284, 442, 9336, 26, 2895, 474, 17940, 471, 16306, 203, 589, 21381, 12699, 5541, 26, 1439, 711, 284, 41556, 9878, 1732, 1061, 8334, 733, 5541, 280, 596, 26, 1439, 547, 7201, 922, 7607, 473, 284, 3632, 280, 225, 34, 284, 595, 280, 225, 34, 284, 436, 663, 328, 29390, 26, 45797, 9878, 1732, 1061, 8334, 733, 5541, 711, 291, 16994, 280, 16167, 26, 380, 27, 429, 225, 38, 42, 291, 415, 595, 904, 225, 36, 610, 225, 34, 44, 324, 7533, 280, 308, 36, 319, 16994, 27, 429, 629, 1162, 15125, 517, 225, 39, 27, 319, 225, 43, 27, 291, 813, 44, 324, 7533, 280, 16994, 291, 3632, 280, 3632, 474, 7533, 291, 595, 47, 91, 29, 35, 284, 3632, 280, 11366, 26, 1036, 27, 474, 225, 35, 34, 284, 442, 308, 35, 34, 429, 308, 1036, 904, 225, 35, 34, 490, 904, 225, 35, 34, 203, 589, 9804, 26, 101, 711, 284, 442, 37316, 474, 309, 474, 37316, 203, 589, 5489, 1812, 1240, 26, 496, 30, 5552, 30, 2354, 81, 2946, 81, 314, 711, 284, 5552, 32, 1689, 13692, 904, 101, 904, 101, 78, 96, 20, 904, 308, 496, 1365, 15813, 81, 426, 3439, 496, 1365, 5065, 81, 426, 23821, 284, 5552, 32, 1689, 440, 2631, 2641, 4916, 308, 13738, 30, 16417, 30, 770, 81, 4524, 27, 2742, 2726, 63, 32042, 4038, 30, 30130, 1035, 78, 96, 657, 284, 5552, 32, 1689, 440, 4620, 477, 6416, 81, 314, 1025, 39646, 81, 2631, 81, 779, 473, 78, 96, 657, 284, 5552, 32, 1689, 440, 2631, 2641, 4916, 81, 426, 308, 6416, 81, 314, 30, 15813, 81, 426, 30, 5065, 81, 426, 30, 16417, 30, 770, 81, 4524, 30, 6572, 27, 7788, 284, 5552, 32, 1689, 440, 20866, 11931, 6416, 81, 314, 9726, 101, 9726, 101, 31981, 4038, 30, 30130, 1026, 7595, 1035, 78, 96, 20, 904, 291, 308, 4071, 26, 496, 1365, 15813, 81, 426, 28431, 4071, 26, 496, 1365, 5065, 81, 426, 1446, 2610, 284, 5552, 32, 1689, 440, 2631, 2641, 4250, 308, 2946, 81, 314, 30, 699, 30, 2895, 30, 16306, 30 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 3, 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, 1, 1, 3, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 3, 3, 7, 8, 7, 4, 4, 5, 3, 3, 4, 4, 4, 4, 6, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 6, 7, 7, 7, 7, 6, 2, 2, 5, 6, 5, 6, 5, 2, 2, 3, 5, 6, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 4, 4, 6, 10, 9, 10, 9, 7, 7, 8, 8, 8, 8, 6, 2, 2, 4, 4, 6, 7, 7, 7, 7, 6, 7, 7, 6, 2, 2, 4, 4, 6, 9, 9, 10, 9, 7, 7, 9, 10, 9, 2, 2, 3, 6, 8, 7, 7, 6, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 5, 5, 5, 5, 5, 4, 4, 10, 11, 10, 9, 8, 7, 6, 2, 2, 4, 4, 5, 2, 2, 4, 4, 5, 2, 2, 3, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 5, 3, 3, 6, 6, 9, 10, 9, 7, 7, 8, 8, 4, 4, 5, 7, 7, 8, 6, 6, 7, 5, 5, 5, 8, 8, 12, 11, 11, 10, 9, 9, 11, 15, 14, 14, 15, 13, 12, 12, 13, 11, 5, 5, 6, 6, 6, 9, 9, 4, 4, 6, 6, 7, 7, 4, 4, 6, 8, 7, 8, 2, 2, 4, 4, 7, 8, 7, 5, 5, 6, 6, 2, 2, 3, 7, 7, 6, 6, 9, 8, 8, 9, 9, 7, 4, 4, 5, 5, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 4, 4, 0, 1, 1, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 1, 5, 6, 5, 8, 8, 8, 8, 9, 9, 8, 6, 6, 9, 8, 10, 10, 10, 10, 9, 8, 10, 10, 10, 10, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 2, 2, 5, 6, 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, 2, 2, 5, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 6, 6, 6, 9, 9, 11, 10, 12, 12, 12, 12, 9, 9, 11, 10, 12, 12, 12, 12, 9, 2, 2, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 ]
[ 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 3, 3, 0, 4, 4, 0, 5, 5, 0, 6, 6, 0, 7, 7, 0, 8, 8, 2, 8, 8, 0, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 9, 9, 1, 1, 2, 1, 2, 9, 9, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 3, 3, 3, 3, 0, 0, 10, 10, 2, 1, 2, 10, 10, 0, 0, 0, 2, 2, 2, 2, 1, 4, 4, 0, 2, 1, 1, 1, 4, 4, 2, 0, 2, 2, 1, 0, 11, 11, 1, 1, 2, 1, 2, 11, 11, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 3, 1, 0, 1, 1, 1, 2, 0, 12, 12, 1, 1, 2, 1, 2, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 4, 4, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 2, 5, 5, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 5, 5, 0, 0, 2, 2, 5, 5, 0, 0, 2, 2, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 2, 4, 4, 6, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 13, 13, 2, 1, 2, 13, 13, 0, 0, 0, 1, 1, 0, 14, 14, 1, 1, 2, 1, 2, 2, 2, 2, 5, 5, 5, 5, 2, 14, 14, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 3, 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, 1, 1, 1, 1, 0, 0, 2, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 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, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 420, 867, 97, 476, 81, 3922, 1188, 12259, 203, 1070, 420, 867, 97, 476, 81, 1262, 32, 1495, 1188, 308, 28651, 30, 12259, 924, 30, 284, 7819, 30, 18394, 30, 9282, 3644, 30, 16289, 3644, 30, 284, 13055, 42, 30, 13055, 35, 40, 30, 13055, 37, 36, 30, 2854, 37, 36, 30, 18378, 19541, 37, 36, 30, 284, 7588, 30, 31729, 30, 9282, 8733, 27, 203, 1070, 420, 867, 97, 476, 81, 1262, 32, 29393, 1188, 18653, 8703, 81, 34275, 30, 498, 780, 35303, 81, 34275, 203, 1070, 420, 867, 97, 476, 81, 1262, 32, 4280, 1188, 13462, 6196, 203, 1070, 420, 867, 97, 476, 81, 1262, 32, 878, 81, 4531, 1188, 1344, 1972, 30, 28148, 203, 1070, 420, 867, 97, 476, 81, 1262, 32, 4280, 1188, 1487, 7167, 203, 1070, 420, 867, 97, 476, 81, 3922, 32, 4573, 32, 2282, 1188, 18775, 38, 42, 81, 2438, 30, 17409, 38, 81, 2438, 203, 589, 5839, 26, 1495, 711, 284, 442, 13462, 6196, 26, 1495, 32, 853, 28, 35, 34, 34, 34, 27, 203, 823, 15200, 26, 28651, 711, 284, 40545, 280, 18653, 8703, 81, 34275, 284, 665, 3185, 3353, 26, 784, 30, 2935, 711, 291, 442, 1665, 203, 823, 5471, 66, 26, 4772, 711, 284, 19494, 81, 426, 280, 301, 276, 35, 44, 313, 1357, 392, 276, 36, 44, 313, 8443, 20, 284, 320, 284, 40545, 280, 18653, 8703, 81, 34275, 284, 665, 1487, 4140, 26, 784, 711, 291, 6761, 13055, 35, 40, 26, 784, 30, 313, 6763, 81, 681, 657, 291, 6761, 13055, 35, 40, 26, 784, 30, 313, 1805, 81, 681, 657, 291, 6761, 13055, 42, 26, 784, 30, 313, 6763, 81, 891, 657, 291, 6761, 13055, 42, 26, 784, 30, 313, 1805, 81, 891, 657, 291, 6761, 7819, 26, 9269, 35, 40, 26, 784, 30, 313, 16055, 2113, 5471, 66, 32, 16055, 81, 426, 27, 291, 6761, 18775, 38, 42, 81, 2438, 26, 784, 30, 313, 1617, 81, 4229, 657, 291, 6761, 17409, 38, 81, 2438, 26, 784, 30, 313, 1617, 81, 639, 657, 291, 6761, 18775, 38, 42, 81, 2438, 26, 784, 30, 313, 6298, 81, 4229, 657, 291, 6761, 17409, 38, 81, 2438, 26, 784, 30, 313, 6298, 81, 639, 657, 284, 665, 1487, 3234, 26, 784, 711, 291, 5585, 280, 313, 46255, 44, 904, 101, 20, 904, 630, 1365, 16055, 6494, 2751, 291, 19494, 280, 630, 1365, 16055, 6494, 853, 291, 1561, 81, 639, 280, 630, 1365, 1617, 81, 639, 6494, 2751, 291, 7112, 81, 639, 280, 630, 1365, 6298, 81, 639, 6494, 2751, 291, 415, 19494, 610, 225, 35, 44, 324, 5585, 1454, 3003, 904, 101, 7660, 904, 101, 20, 904, 308, 6298, 81, 639, 30, 1561, 81, 639, 27, 291, 4348, 19494, 610, 225, 36, 44, 324, 5585, 1454, 313, 645, 904, 101, 20, 904, 1561, 81, 639, 291, 442, 5585, 203, 823, 14453, 81, 2828, 26, 28651, 711, 284, 489, 1952, 280, 225, 35, 284, 7482, 81, 38814, 280, 225, 36, 284, 33846, 73, 81, 19958, 280, 225, 37, 284, 358, 3277, 280, 225, 38, 284, 38203, 280, 225, 42, 284, 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 ]
[ 1, 1, 3, 3, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 3, 3, 1, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 1, 1, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 8, 7, 8, 6, 7, 7, 7, 7, 5, 0, 1, 1, 2, 3, 2, 1, 1, 4, 4, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 4, 4, 3, 3, 5, 0, 1, 1, 2, 2, 3, 2, 1, 1, 5, 5, 4, 4, 5, 7, 6, 6, 8, 8, 5, 7, 6, 6, 8, 8, 5, 5, 2, 2, 4, 4, 5, 5, 5, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 4, 4, 6, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 4, 4, 6, 8, 8, 9, 8, 8, 10, 10, 10, 10, 4, 4, 6, 8, 8, 9, 8, 8, 10, 10, 10, 10, 4, 4, 6, 8, 10, 10, 10, 10, 11, 10, 10, 12, 12, 8, 10, 9, 10, 10, 10, 8, 4, 4, 6, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 4, 4, 6, 8, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 4, 4, 6, 8, 8, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 4, 4, 6, 8, 8, 8, 8, 9, 8, 8, 10, 10, 10, 10, 2, 2, 3, 4, 4, 5, 4, 3, 3, 6, 6, 9, 9, 9, 9, 9, 7, 7, 9, 11, 11, 9, 4, 4, 6, 6, 8, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 10, 10, 10, 10, 8, 4, 4, 7, 7, 6, 6, 8, 10, 10, 10, 10, 8, 4, 4, 5, 6, 6, 7, 5, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 9, 9, 11, 11, 11, 10, 10, 11, 11, 10, 5, 5, 6, 7, 7, 8, 6, 6, 6, 9, 9, 12, 12, 12, 12, 10, 10, 11, 11, 4, 4, 5, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 5, 4, 4, 5, 2, 2, 5, 5, 4, 4, 5, 2, 2, 5, 5, 5, 4, 4, 5, 2, 2, 5, 4, 4, 5, 2, 2, 4, 4, 5, 2, 2 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 2, 4, 4, 0, 4, 4, 0, 5, 5, 0, 0, 0, 0, 0, 1, 2, 5, 5, 0, 0, 6, 6, 0, 0, 0, 0, 0, 1, 2, 1, 4, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 7, 7, 2, 1, 2, 7, 7, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 8, 8, 2, 1, 2, 8, 8, 0, 0, 2, 2, 2, 4, 4, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 9, 9, 1, 2, 1, 2, 9, 9, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 3, 3, 1, 2, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 4, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 3, 2, 2, 2, 1, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 4, 4, 0, 0, 0, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 4, 1, 1, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 4, 4, 4, 1, 1, 2, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 5, 0, 10, 10, 1, 1, 2, 1, 2, 10, 10, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 0, 0, 2, 4, 4, 0, 0, 0, 2, 4, 4, 0, 0, 2, 4, 4 ]
[ 1070, 1156, 9666, 505, 1188, 15390, 81, 30839, 203, 1070, 13625, 1188, 33953, 203, 465, 316, 203, 1070, 323, 46975, 1188, 323, 46975, 203, 465, 11685, 203, 1070, 8527, 32, 2957, 1188, 4070, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 4151, 32, 10513, 1188, 23864, 25034, 3689, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 4151, 1188, 7984, 1176, 30, 5692, 34747, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 4151, 32, 5866, 1188, 7679, 73, 2051, 203, 1070, 8527, 32, 1199, 32, 3378, 32, 6696, 1188, 1123, 81, 2613, 81, 2584, 30, 3320, 203, 1070, 8527, 32, 2304, 1188, 18792, 203, 1070, 8527, 32, 2304, 32, 18651, 1188, 10814, 81, 2433, 203, 1070, 8527, 32, 2304, 32, 8644, 1188, 7650, 81, 878, 30, 18548, 81, 878, 30, 4262, 81, 36, 81, 9941, 81, 14600, 203, 1070, 8527, 32, 2304, 32, 7485, 1188, 18189, 30, 43292, 81, 464, 30, 622, 81, 4189, 30, 802, 81, 7232, 203, 371, 81, 10529, 81, 426, 280, 9254, 443, 81, 426, 44, 316, 32, 1113, 463, 7728, 44823, 6020, 83, 31, 108, 33192, 51, 31, 76, 1130, 110, 2009, 51, 31, 76, 729, 49, 2513, 51, 31, 76, 28094, 22, 2610, 370, 330, 6080, 35, 370, 443, 81, 426, 547, 5729, 922, 7201, 346, 203, 5807, 81, 8356, 280, 2726, 10529, 81, 426, 370, 330, 10529, 81, 426, 81, 25857, 370, 330, 1199, 81, 1274, 370, 330, 24576, 370, 353, 330, 5665, 81, 36202, 370, 330, 11893, 370, 330, 371, 81, 5323, 81, 1170, 370, 353, 330, 1174, 81, 1793, 81, 575, 921, 81, 452, 370, 330, 725, 81, 1172, 370, 330, 1199, 81, 1274, 1166, 370, 353, 330, 9436, 370, 330, 12262, 370, 330, 5866, 370, 330, 1586, 44930, 370, 330, 2837, 81, 4524, 370, 353, 330, 1055, 81, 36202, 370, 330, 725, 81, 2613, 370, 330, 1536, 81, 11893, 370, 353, 330, 1613, 81, 267, 81, 2853, 683, 203, 589, 13316, 81, 5665, 81, 36202, 26, 5665, 81, 36202, 711, 284, 5799, 81, 36202, 280, 8825, 26, 5665, 81, 36202, 27, 284, 415, 5799, 81, 36202, 461, 646, 6937, 26, 5665, 81, 36202, 77, 34, 614, 308, 7288, 30, 1149, 8531, 291, 5799, 81, 36202, 280, 308, 5665, 81, 36202, 21713, 284, 442, 5799, 81, 36202, 203, 50, 2958, 81, 36, 81, 9941, 81, 14600, 203, 823, 11024, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 6089, 30, 1123, 81, 1172, 47, 2521, 711, 291, 630, 32, 1696, 81, 4151, 30, 630, 32, 1696, 81, 11374, 81, 452, 81, 11374, 280, 5518, 1605, 291, 630, 32, 5002, 81, 4151, 280, 1605, 291, 630, 32, 1160, 81, 426, 30, 630, 32, 10529, 81, 426, 280, 1665, 30, 1665, 291, 630, 32, 10529, 81, 426, 81, 25857, 280, 1665, 291, 630, 32, 1199, 81, 1274, 280, 4247, 291, 630, 32, 24576, 280, 1605, 291, 630, 32, 5665, 81, 36202, 280, 1605, 291, 630, 32, 1055, 81, 36202, 280, 1605, 291, 630, 32, 1613, 81, 267, 81, 2853, 280, 3177, 291, 630, 32, 1536, 81, 11893, 280, 2726, 669, 370, 330, 2342, 370, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 0, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 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, 2, 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, 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, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 3, 5, 5, 3, 3, 9, 10, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 9, 11, 11, 11, 9, 10, 10, 9, 8, 7, 6, 5, 0, 3, 3, 3, 2, 2, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 3, 3, 5, 5, 3, 5, 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 5, 5, 4, 4, 6, 7, 7, 7, 6, 2, 2, 3, 5, 5, 4, 4, 5, 7, 9, 9, 9, 8, 9, 8, 7, 9, 8, 8, 8, 3, 3, 7, 7, 6, 6, 8, 8, 8, 7, 2, 2, 3, 4, 4, 0, 2, 3, 3, 3, 3, 3, 3, 3, 1, 2, 2, 3, 4, 3, 2, 2, 4, 5, 5, 6, 5, 5, 5, 5, 7, 7, 6, 7, 5, 4, 4, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 7, 7, 8, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 9, 10, 10, 10, 8, 8, 9, 10, 10, 10, 7, 7, 8, 8, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 9, 9, 7, 7, 5, 5, 8, 9, 9, 9, 7, 7, 10, 10, 8, 10, 10, 8 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 4, 4, 0, 5, 5, 1, 2, 5, 5, 0, 6, 6, 1, 2, 1, 4, 1, 6, 1, 8, 6, 6, 0, 0, 0, 7, 7, 1, 2, 1, 4, 1, 6, 7, 7, 0, 7, 7, 0, 0, 8, 8, 1, 2, 1, 4, 1, 6, 1, 8, 8, 8, 0, 0, 0, 9, 9, 1, 2, 1, 4, 1, 6, 9, 9, 0, 0, 0, 0, 9, 9, 0, 10, 10, 1, 2, 10, 10, 0, 11, 11, 1, 2, 1, 4, 11, 11, 0, 0, 0, 12, 12, 1, 2, 1, 4, 12, 12, 0, 0, 12, 12, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 13, 13, 1, 2, 1, 4, 13, 13, 13, 13, 0, 0, 13, 13, 0, 0, 13, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 5, 5, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 16, 16, 1, 1, 1, 1, 2, 1, 1, 1, 2, 16, 16, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 3, 3, 3, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 4, 4, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 17, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 5, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2 ]
[ 465, 2322, 203, 465, 5237, 203, 465, 7138, 30, 1133, 203, 465, 316, 203, 465, 32908, 1356, 203, 465, 22977, 203, 1070, 12388, 1188, 4226, 620, 203, 1070, 8745, 1188, 622, 81, 761, 81, 668, 203, 1070, 8745, 1188, 1188, 81, 1647, 203, 1070, 8745, 1188, 47777, 81, 15615, 203, 1070, 4549, 1188, 4082, 203, 589, 622, 81, 1786, 81, 3106, 26, 1786, 711, 284, 415, 2145, 32, 1786, 81, 681, 610, 4226, 620, 32, 5754, 2328, 81, 8094, 44, 291, 442, 20905, 2328, 2059, 26, 1786, 27, 3701, 4348, 2145, 32, 1786, 81, 681, 610, 4226, 620, 32, 37701, 81, 8094, 44, 291, 442, 35150, 2059, 26, 1786, 27, 284, 4348, 2145, 32, 1786, 81, 681, 610, 4226, 620, 32, 12036, 2328, 81, 8094, 44, 291, 442, 28000, 2328, 2059, 26, 1786, 27, 284, 813, 44, 291, 442, 1665, 203, 823, 4226, 3482, 26, 1473, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2145, 711, 291, 630, 32, 1786, 280, 2145, 284, 665, 622, 81, 761, 81, 668, 26, 784, 711, 291, 3636, 22210, 440, 7640, 2298, 2684, 622, 81, 761, 81, 668, 657, 284, 665, 622, 81, 761, 81, 363, 81, 5660, 81, 2665, 26, 784, 30, 1361, 81, 5660, 47, 2521, 711, 291, 3636, 22210, 440, 7640, 2298, 2684, 622, 81, 761, 81, 668, 657, 284, 665, 1505, 81, 14708, 3452, 26, 784, 711, 291, 3636, 22210, 440, 7640, 2298, 2684, 1505, 81, 14708, 3452, 657, 284, 665, 7623, 81, 761, 26, 784, 30, 1914, 81, 761, 81, 983, 30, 3466, 81, 3607, 30, 1361, 81, 5660, 47, 2521, 30, 3309, 47, 2521, 711, 291, 3636, 22210, 440, 7640, 2298, 2684, 7623, 81, 761, 657, 203, 823, 20905, 2328, 2059, 26, 2059, 3482, 711, 284, 665, 1156, 1664, 3207, 784, 30, 2145, 711, 291, 4226, 3482, 3667, 1664, 3207, 784, 30, 2145, 27, 284, 665, 622, 81, 761, 81, 668, 26, 784, 711, 291, 442, 622, 81, 761, 81, 668, 26, 784, 32, 1786, 32, 1786, 81, 5660, 27, 284, 665, 622, 81, 761, 81, 363, 81, 5660, 81, 2665, 26, 784, 30, 1361, 81, 5660, 47, 2521, 711, 4456, 1056, 81, 668, 280, 1605, 291, 438, 81, 19031, 280, 2933, 291, 1596, 44, 324, 415, 1361, 81, 5660, 438, 1665, 44, 400, 1519, 280, 630, 32, 1786, 32, 1786, 81, 5660, 324, 813, 44, 400, 1519, 280, 308, 784, 32, 1786, 32, 1786, 81, 5660, 474, 2322, 32, 12595, 474, 1361, 81, 5660, 27, 324, 436, 636, 328, 2322, 32, 26366, 26, 983, 711, 400, 803, 280, 2149, 2407, 400, 415, 2322, 32, 983, 32, 29712, 26, 500, 32, 983, 32, 2524, 26, 983, 30, 636, 8531, 528, 803, 710, 3607, 785, 280, 636, 528, 803, 710, 297, 81, 5660, 785, 280, 3177, 400, 813, 44, 528, 415, 1361, 81, 5660, 438, 1665, 556, 2069, 26, 1113, 81, 5660, 27, 610, 225, 34, 44, 715, 803, 710, 3607, 785, 280, 636, 528, 813, 44, 715, 803, 710, 3607, 785, 280, 1361, 81, 5660, 474, 13637, 474, 636, 528, 803, 710, 297, 81, 5660, 785, 280, 2933, 400, 1056 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 3, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 3, 3, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 5, 6, 6, 6, 4, 4, 6, 5, 6, 6, 6, 6, 3, 3, 3, 5, 7, 7, 7, 8, 7, 3, 3, 4, 6, 7, 7, 7, 5, 5, 7, 6, 7, 7, 7, 4, 4, 4, 6, 8, 8, 9, 8, 3, 3, 4, 6, 7, 7, 7, 5, 5, 7, 6, 7, 7, 7, 7, 4, 4, 4, 6, 8, 8, 8, 9, 8, 3, 3, 4, 4, 4, 6, 0, 1, 1, 2, 2, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 7, 8, 6, 6, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 3, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 4, 4, 5, 5, 4, 4, 6, 6, 5, 6, 4, 4, 5, 6, 4, 3, 3, 5, 7, 9, 9, 9, 9, 9, 9, 9, 0, 1, 1, 2, 2, 2, 3, 3, 2, 1, 1, 3, 4, 4, 5, 4, 4, 4, 3, 3, 8, 7, 8, 8, 8, 7, 7, 7, 2, 2, 3, 4, 4, 4, 4, 4, 5, 4, 3, 3, 5, 7, 7, 7, 7, 7, 10, 9, 10, 8, 9, 9, 9, 7, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 6, 6, 5, 6, 4, 3, 3, 7, 7, 6, 6, 4, 4, 7, 7, 6, 6, 4, 4, 5, 5, 5, 7, 9, 9, 8, 8, 7, 7, 7, 10, 10, 12, 13, 11, 12, 12, 12, 7, 7, 8, 8, 8, 11, 11, 17, 16, 17, 15, 16, 16, 16, 14, 14, 15, 16, 13, 13, 14, 14, 12, 6, 6, 7, 7, 7, 9, 10, 9, 10, 9, 7, 7, 10, 10, 8, 8, 8, 9, 12, 13, 11, 12, 11, 15, 14, 15, 13, 14, 13, 14, 13, 13, 13, 9, 9, 13, 15, 15, 12, 12, 10, 10, 13, 15, 15, 15, 15, 12, 12, 9, 9, 10, 10, 10, 12, 15, 15, 14, 14, 13, 13, 16, 17, 17, 17, 16, 14, 14, 15, 12, 12, 12, 16, 18, 18, 15, 15, 12, 12, 13, 13, 13, 17, 19, 19, 16, 16, 19, 19, 18, 18, 17, 17, 11, 11, 14, 16, 16, 16, 16, 13, 13, 8, 8 ]
[ 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 4, 4, 0, 0, 5, 5, 0, 6, 6, 6, 6, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 10, 10, 10, 10, 0, 11, 11, 1, 1, 1, 1, 2, 1, 2, 11, 11, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 4, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 4, 4, 4, 0, 0, 1, 1, 1, 0, 0, 5, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 5, 5, 5, 0, 0, 0, 1, 1, 1, 0, 0, 6, 6, 6, 0, 0, 12, 12, 1, 2, 1, 2, 12, 12, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 1, 2, 3, 3, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 1, 1, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 5, 5, 2, 2, 0, 0, 7, 2, 2, 2, 9, 2, 2, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 13, 13, 1, 1, 2, 1, 1, 2, 13, 13, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 3, 3, 0, 1, 1, 1, 2, 0, 0, 1, 1, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 4, 4, 4, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 5, 5 ]